TSTP Solution File: SWW351+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW351+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:08:09 EDT 2024
% Result : Theorem 204.28s 204.30s
% Output : CNFRefutation 204.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW351+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 05:07:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 203.72/204.12 %-------------------------------------------
% 203.72/204.12 % File :CSE---1.7
% 203.72/204.12 % Problem :theBenchmark
% 203.72/204.12 % Transform :cnf
% 203.72/204.12 % Format :tptp:raw
% 203.72/204.12 % Command :java -jar mcs_scs.jar %d %s
% 203.72/204.12
% 203.72/204.12 % Result :Theorem 189.460000s
% 203.72/204.12 % Output :CNFRefutation 189.460000s
% 203.72/204.12 %-------------------------------------------
% 203.72/204.13 %------------------------------------------------------------------------------
% 203.72/204.13 % File : SWW351+1 : TPTP v8.2.0. Released v5.2.0.
% 203.72/204.13 % Domain : Software Verification
% 203.72/204.13 % Problem : Hoare's Logic with Procedures 435295, 5000 axioms selected
% 203.72/204.13 % Version : Especial.
% 203.72/204.13 % English :
% 203.72/204.13
% 203.72/204.13 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 203.72/204.13 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 203.72/204.13 % Source : [Bla11]
% 203.72/204.13 % Names : hoare_435295.5000.p [Bla11]
% 203.72/204.13
% 203.72/204.13 % Status : ContradictoryAxioms
% 203.72/204.13 % Rating : 0.83 v8.2.0, 0.78 v8.1.0, 0.81 v7.5.0, 0.78 v7.4.0, 0.87 v7.3.0, 0.83 v7.1.0, 0.78 v7.0.0, 0.87 v6.4.0, 0.81 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.87 v5.5.0, 0.93 v5.4.0, 0.96 v5.3.0, 1.00 v5.2.0
% 203.72/204.13 % Syntax : Number of formulae : 5229 (1684 unt; 0 def)
% 203.72/204.13 % Number of atoms : 12719 (4425 equ)
% 203.72/204.13 % Maximal formula atoms : 13 ( 2 avg)
% 203.72/204.13 % Number of connectives : 8476 ( 986 ~; 151 |; 716 &)
% 203.72/204.13 % ( 895 <=>;5728 =>; 0 <=; 0 <~>)
% 203.72/204.13 % Maximal formula depth : 22 ( 6 avg)
% 203.72/204.13 % Maximal term depth : 19 ( 2 avg)
% 203.72/204.13 % Number of predicates : 149 ( 148 usr; 1 prp; 0-6 aty)
% 203.72/204.13 % Number of functors : 390 ( 390 usr; 49 con; 0-10 aty)
% 203.72/204.13 % Number of variables : 16703 (16549 !; 154 ?)
% 203.72/204.13 % SPC : FOF_CAX_RFO_SEQ
% 203.72/204.13
% 203.72/204.13 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 203.72/204.13 % 2011-03-01 12:21:42
% 203.72/204.13 %------------------------------------------------------------------------------
% 203.72/204.13 %----Relevant facts (4985)
% 203.72/204.13 fof(fact_ext,axiom,
% 203.72/204.13 ! [V_g_2,V_f_2] :
% 203.72/204.13 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 203.72/204.13 => V_f_2 = V_g_2 ) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_empty,axiom,
% 203.72/204.13 ! [V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 203.72/204.13 ! [V_a_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_triple_Oinject,axiom,
% 203.72/204.13 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_a] :
% 203.72/204.13 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 203.72/204.13 <=> ( V_fun1_2 = V_fun1_H_2
% 203.72/204.13 & V_com_2 = V_com_H_2
% 203.72/204.13 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_hoare__sound,axiom,
% 203.72/204.13 ! [V_ts_2,V_G_2,T_a] :
% 203.72/204.13 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)
% 203.72/204.13 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,V_ts_2) ) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_cut,axiom,
% 203.72/204.13 ! [V_G_2,V_ts_2,V_G_H_2,T_a] :
% 203.72/204.13 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 203.72/204.13 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_G_H_2)
% 203.72/204.13 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_hoare__derivs_Oinsert,axiom,
% 203.72/204.13 ! [V_ts_2,V_t_2,V_G_2,T_a] :
% 203.72/204.13 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.13 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)
% 203.72/204.13 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) ) ) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_derivs__insertD,axiom,
% 203.72/204.13 ! [V_ts_2,V_t_2,V_G_2,T_a] :
% 203.72/204.13 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2))
% 203.72/204.13 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.13 & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_triple_Orecs,axiom,
% 203.72/204.13 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_triple_Osimps_I2_J,axiom,
% 203.72/204.13 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 203.72/204.13
% 203.72/204.13 fof(fact_empty__not__insert,axiom,
% 203.72/204.14 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insert__not__empty,axiom,
% 203.72/204.14 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_doubleton__eq__iff,axiom,
% 203.72/204.14 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.72/204.14 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.14 <=> ( ( V_a_2 = V_ca_2
% 203.72/204.14 & V_b_2 = V_d_2 )
% 203.72/204.14 | ( V_a_2 = V_d_2
% 203.72/204.14 & V_b_2 = V_ca_2 ) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_singleton__inject,axiom,
% 203.72/204.14 ! [V_b_2,V_a_2,T_a] :
% 203.72/204.14 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 203.72/204.14 => V_a_2 = V_b_2 ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_bot__apply,axiom,
% 203.72/204.14 ! [V_x_2,T_b,T_a] :
% 203.72/204.14 ( class_Orderings_Obot(T_a)
% 203.72/204.14 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_hoare__derivs_OSkip,axiom,
% 203.72/204.14 ! [V_Pa_2,V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 203.72/204.14 ! [V_a2_2,V_a1_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_conseq2,axiom,
% 203.72/204.14 ! [V_Qa_2,V_Q_H_2,V_ca_2,V_Pa_2,V_G_2,T_a] :
% 203.72/204.14 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.14 => ( ! [B_Z,B_s] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 203.72/204.14 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 203.72/204.14 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_conseq1,axiom,
% 203.72/204.14 ! [V_Pa_2,V_Qa_2,V_ca_2,V_P_H_2,V_G_2,T_a] :
% 203.72/204.14 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.14 => ( ! [B_Z,B_s] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 203.72/204.14 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 203.72/204.14 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_Comp,axiom,
% 203.72/204.14 ! [V_R_2,V_d_2,V_Qa_2,V_ca_2,V_Pa_2,V_G_2,T_a] :
% 203.72/204.14 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.14 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Qa_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.14 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insert__code,axiom,
% 203.72/204.14 ! [V_x_2,V_A_2,V_y_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))
% 203.72/204.14 <=> ( V_y_2 = V_x_2
% 203.72/204.14 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insert__commute,axiom,
% 203.72/204.14 ! [V_A_2,V_y_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insert__absorb2,axiom,
% 203.72/204.14 ! [V_A_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_evalc__elim__cases_I1_J,axiom,
% 203.72/204.14 ! [V_t,V_s] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 203.72/204.14 => V_t = V_s ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_evalc_OSkip,axiom,
% 203.72/204.14 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_evalc_OSemi,axiom,
% 203.72/204.14 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 203.72/204.14 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_the__elem__eq,axiom,
% 203.72/204.14 ! [V_x_2,T_a] : c_Set_Othe__elem(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ).
% 203.72/204.14
% 203.72/204.14 fof(fact_com_Osimps_I12_J,axiom,
% 203.72/204.14 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_com_Osimps_I13_J,axiom,
% 203.72/204.14 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 203.72/204.14
% 203.72/204.14 fof(fact_evalc_Oequations_I1_J,axiom,
% 203.72/204.14 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_evalc_Oequations_I4_J,axiom,
% 203.72/204.14 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 203.72/204.14 <=> ? [B_s1] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 203.72/204.14 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_com_Osimps_I3_J,axiom,
% 203.72/204.14 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 203.72/204.14 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 203.72/204.14 <=> ( V_com1_2 = V_com1_H_2
% 203.72/204.14 & V_com2_2 = V_com2_H_2 ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_com__det,axiom,
% 203.72/204.14 ! [V_u,V_t,V_s,V_c] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 203.72/204.14 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 203.72/204.14 => V_u = V_t ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_conseq12,axiom,
% 203.72/204.14 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_ca_2,V_P_H_2,V_G_2,T_a] :
% 203.72/204.14 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.72/204.14 => ( ! [B_Z,B_s] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 203.72/204.14 => ! [B_s_H] :
% 203.72/204.14 ( ! [B_Z_H] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))
% 203.72/204.14 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) )
% 203.72/204.14 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )
% 203.72/204.14 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_evalc__elim__cases_I4_J,axiom,
% 203.72/204.14 ! [V_t,V_s,V_c2,V_c1] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 203.72/204.14 => ~ ! [B_s1] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 203.72/204.14 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_com_Osimps_I64_J,axiom,
% 203.72/204.14 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_a] : c_Com_Ocom_Ocom__case(T_a,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ).
% 203.72/204.14
% 203.72/204.14 fof(fact_com_Osimps_I67_J,axiom,
% 203.72/204.14 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_a] : c_Com_Ocom_Ocom__case(T_a,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_subset__singletonD,axiom,
% 203.72/204.14 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 203.72/204.14 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.14 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_MGT__alternI,axiom,
% 203.72/204.14 ! [V_ca_2,V_G_2] :
% 203.72/204.14 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 203.72/204.14 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_singleton__iff,axiom,
% 203.72/204.14 ! [V_a_2,V_b_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 203.72/204.14 <=> V_b_2 = V_a_2 ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_singletonE,axiom,
% 203.72/204.14 ! [V_a_2,V_b_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 203.72/204.14 => V_b_2 = V_a_2 ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_fold1Set__sing,axiom,
% 203.72/204.14 ! [V_b_2,V_a_2,V_f_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_b_2))
% 203.72/204.14 <=> V_a_2 = V_b_2 ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_folding__one_Osingleton,axiom,
% 203.72/204.14 ! [V_x_2,V_F_2,V_f_2,T_a] :
% 203.72/204.14 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.14 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insert__is__Un,axiom,
% 203.72/204.14 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_Diff__insert,axiom,
% 203.72/204.14 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_Diff__insert2,axiom,
% 203.72/204.14 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insert__Diff__single,axiom,
% 203.72/204.14 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_order__refl,axiom,
% 203.72/204.14 ! [V_x,T_a] :
% 203.72/204.14 ( class_Orderings_Opreorder(T_a)
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_equalityCE,axiom,
% 203.72/204.14 ! [V_ca_2,T_a,V_B_2,V_A_2] :
% 203.72/204.14 ( V_A_2 = V_B_2
% 203.72/204.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.14 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) )
% 203.72/204.14 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_equalityI,axiom,
% 203.72/204.14 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.14 => V_A_2 = V_B_2 ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_emptyE,axiom,
% 203.72/204.14 ! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insertCI,axiom,
% 203.72/204.14 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 203.72/204.14 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 203.72/204.14 => V_a_2 = V_b_2 )
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_insertE,axiom,
% 203.72/204.14 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 203.72/204.14 => ( V_a_2 != V_b_2
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_subsetD,axiom,
% 203.72/204.14 ! [V_ca_2,V_B_2,V_A_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.14 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_UnCI,axiom,
% 203.72/204.14 ! [V_A_2,V_B_2,V_ca_2,T_a] :
% 203.72/204.14 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) )
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_UnE,axiom,
% 203.72/204.14 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_empty__subsetI,axiom,
% 203.72/204.14 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 203.72/204.14
% 203.72/204.14 fof(fact_DiffE,axiom,
% 203.72/204.14 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.14 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_DiffI,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_linorder__le__cases,axiom,
% 203.72/204.15 ! [V_y,V_x,T_a] :
% 203.72/204.15 ( class_Orderings_Olinorder(T_a)
% 203.72/204.15 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_DiffD2,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.15 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_DiffD1,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_le__funE,axiom,
% 203.72/204.15 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 203.72/204.15 ( class_Orderings_Oord(T_b)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_equalityE,axiom,
% 203.72/204.15 ! [T_a,V_B_2,V_A_2] :
% 203.72/204.15 ( V_A_2 = V_B_2
% 203.72/204.15 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_double__diff,axiom,
% 203.72/204.15 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__mono,axiom,
% 203.72/204.15 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_D_2),V_B_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__mono,axiom,
% 203.72/204.15 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__least,axiom,
% 203.72/204.15 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_xt1_I6_J,axiom,
% 203.72/204.15 ! [V_z,V_x,V_y,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_xt1_I5_J,axiom,
% 203.72/204.15 ! [V_x,V_y,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.15 => V_x = V_y ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_order__trans,axiom,
% 203.72/204.15 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.15 ( class_Orderings_Opreorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_order__antisym,axiom,
% 203.72/204.15 ! [V_y,V_x,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.15 => V_x = V_y ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_xt1_I4_J,axiom,
% 203.72/204.15 ! [V_c,V_a,V_b,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.72/204.15 => ( V_b = V_c
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_ord__le__eq__trans,axiom,
% 203.72/204.15 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.15 ( class_Orderings_Oord(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.15 => ( V_b = V_c
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_subset__trans,axiom,
% 203.72/204.15 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_set__mp,axiom,
% 203.72/204.15 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_set__rev__mp,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_xt1_I3_J,axiom,
% 203.72/204.15 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( V_a = V_b
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_ord__eq__le__trans,axiom,
% 203.72/204.15 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.15 ( class_Orderings_Oord(T_a)
% 203.72/204.15 => ( V_a = V_b
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_eq__mem__trans,axiom,
% 203.72/204.15 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 203.72/204.15 ( V_a_2 = V_b_2
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__partition,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_order__antisym__conv,axiom,
% 203.72/204.15 ! [V_x_2,V_y_2,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.15 <=> V_x_2 = V_y_2 ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_in__mono,axiom,
% 203.72/204.15 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_eqelem__imp__iff,axiom,
% 203.72/204.15 ! [V_A_2,T_a,V_y_2,V_x_2] :
% 203.72/204.15 ( V_x_2 = V_y_2
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_eqset__imp__iff,axiom,
% 203.72/204.15 ! [V_x_2,T_a,V_B_2,V_A_2] :
% 203.72/204.15 ( V_A_2 = V_B_2
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__absorb2,axiom,
% 203.72/204.15 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__absorb1,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_le__funD,axiom,
% 203.72/204.15 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 203.72/204.15 ( class_Orderings_Oord(T_b)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_UnI2,axiom,
% 203.72/204.15 ! [V_A_2,V_B_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_UnI1,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_order__eq__refl,axiom,
% 203.72/204.15 ! [V_y,V_x,T_a] :
% 203.72/204.15 ( class_Orderings_Opreorder(T_a)
% 203.72/204.15 => ( V_x = V_y
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_equalityD2,axiom,
% 203.72/204.15 ! [T_a,V_B_2,V_A_2] :
% 203.72/204.15 ( V_A_2 = V_B_2
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_equalityD1,axiom,
% 203.72/204.15 ! [T_a,V_B_2,V_A_2] :
% 203.72/204.15 ( V_A_2 = V_B_2
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_ball__Un,axiom,
% 203.72/204.15 ! [V_Pa_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( ! [B_x] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.15 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.72/204.15 <=> ( ! [B_x] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.72/204.15 & ! [B_x] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 203.72/204.15 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_bex__Un,axiom,
% 203.72/204.15 ! [V_Pa_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( ? [B_x] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.15 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.72/204.15 <=> ( ? [B_x] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.15 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.72/204.15 | ? [B_x] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 203.72/204.15 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__Diff,axiom,
% 203.72/204.15 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__assoc,axiom,
% 203.72/204.15 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__subset__conv,axiom,
% 203.72/204.15 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 203.72/204.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__Diff__cancel2,axiom,
% 203.72/204.15 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__idemp,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__iff,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.15 | hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__iff,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.15 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__left__commute,axiom,
% 203.72/204.15 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__left__absorb,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__Diff__cancel,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_order__eq__iff,axiom,
% 203.72/204.15 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.15 ( class_Orderings_Oorder(T_a)
% 203.72/204.15 => ( V_x_2 = V_y_2
% 203.72/204.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_set__eq__subset,axiom,
% 203.72/204.15 ! [T_a,V_B_2,V_A_2] :
% 203.72/204.15 ( V_A_2 = V_B_2
% 203.72/204.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_subset__Un__eq,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.15 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_linorder__linear,axiom,
% 203.72/204.15 ! [V_y,V_x,T_a] :
% 203.72/204.15 ( class_Orderings_Olinorder(T_a)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__commute,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_mem__def,axiom,
% 203.72/204.15 ! [V_A_2,V_x_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_le__fun__def,axiom,
% 203.72/204.15 ! [V_g_2,V_f_2,T_a,T_b] :
% 203.72/204.15 ( class_Orderings_Oord(T_b)
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 203.72/204.15 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__subset,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__absorb,axiom,
% 203.72/204.15 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__upper2,axiom,
% 203.72/204.15 ! [V_A_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Un__upper1,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_subset__refl,axiom,
% 203.72/204.15 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_insert__Diff__if,axiom,
% 203.72/204.15 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 203.72/204.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) )
% 203.72/204.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_insert__Diff1,axiom,
% 203.72/204.15 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_insert__subset,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2))
% 203.72/204.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_subset__insert,axiom,
% 203.72/204.15 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 203.72/204.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 203.72/204.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_diff__single__insert,axiom,
% 203.72/204.15 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2))
% 203.72/204.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_subset__insert__iff,axiom,
% 203.72/204.15 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 203.72/204.15 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 203.72/204.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_bot__fun__def,axiom,
% 203.72/204.15 ! [V_x_2,T_b,T_a] :
% 203.72/204.15 ( class_Orderings_Obot(T_a)
% 203.72/204.15 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_fold1Set__nonempty,axiom,
% 203.72/204.15 ! [V_x_2,V_A_2,V_f_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),V_x_2))
% 203.72/204.15 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_empty__fold1SetE,axiom,
% 203.72/204.15 ! [V_x_2,V_f_2,T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_insert__Diff,axiom,
% 203.72/204.15 ! [V_A_2,V_a_2,T_a] :
% 203.72/204.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.15 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__insert__absorb,axiom,
% 203.72/204.15 ! [V_A_2,V_x_2,T_a] :
% 203.72/204.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ).
% 203.72/204.15
% 203.72/204.15 fof(fact_Diff__cancel,axiom,
% 203.72/204.15 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Diff__empty,axiom,
% 203.72/204.16 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 203.72/204.16
% 203.72/204.16 fof(fact_empty__Diff,axiom,
% 203.72/204.16 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_MGT__def,axiom,
% 203.72/204.16 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Un__empty,axiom,
% 203.72/204.16 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Un__empty__right,axiom,
% 203.72/204.16 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Un__empty__left,axiom,
% 203.72/204.16 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Un__insert__left,axiom,
% 203.72/204.16 ! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Un__insert__right,axiom,
% 203.72/204.16 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_bot__least,axiom,
% 203.72/204.16 ! [V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Obot(T_a)
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_equals0D,axiom,
% 203.72/204.16 ! [V_a_2,T_a,V_A_2] :
% 203.72/204.16 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_empty__iff,axiom,
% 203.72/204.16 ! [V_ca_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_ex__in__conv,axiom,
% 203.72/204.16 ! [V_A_2,T_a] :
% 203.72/204.16 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.16 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_all__not__in__conv,axiom,
% 203.72/204.16 ! [V_A_2,T_a] :
% 203.72/204.16 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.16 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_subset__empty,axiom,
% 203.72/204.16 ! [V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.16 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_insert__absorb,axiom,
% 203.72/204.16 ! [V_A_2,V_a_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.16 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_insertI2,axiom,
% 203.72/204.16 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_insert__ident,axiom,
% 203.72/204.16 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 203.72/204.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.16 => ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)
% 203.72/204.16 <=> V_A_2 = V_B_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_insert__iff,axiom,
% 203.72/204.16 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 203.72/204.16 <=> ( V_a_2 = V_b_2
% 203.72/204.16 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_insertI1,axiom,
% 203.72/204.16 ! [V_B_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_insert__mono,axiom,
% 203.72/204.16 ! [V_a_2,V_D_2,V_C_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_D_2))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_subset__insertI2,axiom,
% 203.72/204.16 ! [V_b_2,V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_subset__insertI,axiom,
% 203.72/204.16 ! [V_a_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_thin,axiom,
% 203.72/204.16 ! [V_G_2,V_ts_2,V_G_H_2,T_a] :
% 203.72/204.16 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_H_2),V_G_2))
% 203.72/204.16 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_weaken,axiom,
% 203.72/204.16 ! [V_ts_2,V_ts_H_2,V_G_2,T_a] :
% 203.72/204.16 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_H_2)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 203.72/204.16 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_asm,axiom,
% 203.72/204.16 ! [V_G_2,V_ts_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_G_2))
% 203.72/204.16 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_MGT__alternD,axiom,
% 203.72/204.16 ! [V_ca_2,V_G_2] :
% 203.72/204.16 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 203.72/204.16 => ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 203.72/204.16 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup1E,axiom,
% 203.72/204.16 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 203.72/204.16 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 203.72/204.16 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup1CI,axiom,
% 203.72/204.16 ! [T_a,V_A_2,V_x_2,V_B_2] :
% 203.72/204.16 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 203.72/204.16 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 203.72/204.16 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fun__diff__def,axiom,
% 203.72/204.16 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.16 ( class_Groups_Ominus(T_a)
% 203.72/204.16 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__fun__def,axiom,
% 203.72/204.16 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__Un__eq,axiom,
% 203.72/204.16 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_pred__subset__eq,axiom,
% 203.72/204.16 ! [V_S_2,V_R_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_bot__empty__eq,axiom,
% 203.72/204.16 ! [V_x_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_minus__apply,axiom,
% 203.72/204.16 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.16 ( class_Groups_Ominus(T_a)
% 203.72/204.16 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__apply,axiom,
% 203.72/204.16 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__eq__bot__iff,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Lattices_Obounded__lattice__bot(T_a)
% 203.72/204.16 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a)
% 203.72/204.16 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a)
% 203.72/204.16 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__bot__right,axiom,
% 203.72/204.16 ! [V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Obounded__lattice__bot(T_a)
% 203.72/204.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_eq__mem,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))
% 203.72/204.16 <=> V_x_2 = V_y_2 ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__assoc,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_inf__sup__aci_I6_J,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => 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)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup_Oassoc,axiom,
% 203.72/204.16 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__left__commute,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_inf__sup__aci_I7_J,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => 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)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup_Oleft__commute,axiom,
% 203.72/204.16 ! [V_c,V_a,V_b,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__left__idem,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_inf__sup__aci_I8_J,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup_Oleft__idem,axiom,
% 203.72/204.16 ! [V_b,V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__commute,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_inf__sup__aci_I5_J,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup_Ocommute,axiom,
% 203.72/204.16 ! [V_b,V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__idem,axiom,
% 203.72/204.16 ! [V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup_Oidem,axiom,
% 203.72/204.16 ! [V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_predicate1D,axiom,
% 203.72/204.16 ! [V_x_2,V_Qa_2,V_Pa_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 203.72/204.16 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 203.72/204.16 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_rev__predicate1D,axiom,
% 203.72/204.16 ! [V_Qa_2,T_a,V_x_2,V_Pa_2] :
% 203.72/204.16 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 203.72/204.16 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup1I2,axiom,
% 203.72/204.16 ! [V_A_2,T_a,V_x_2,V_B_2] :
% 203.72/204.16 ( hBOOL(hAPP(V_B_2,V_x_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup1I1,axiom,
% 203.72/204.16 ! [V_B_2,T_a,V_x_2,V_A_2] :
% 203.72/204.16 ( hBOOL(hAPP(V_A_2,V_x_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_pred__equals__eq,axiom,
% 203.72/204.16 ! [V_S_2,V_R_2,T_a] :
% 203.72/204.16 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)
% 203.72/204.16 <=> V_R_2 = V_S_2 ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_le__supE,axiom,
% 203.72/204.16 ! [V_x,V_b,V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( 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))
% 203.72/204.16 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__mono,axiom,
% 203.72/204.16 ! [V_d,V_b,V_c,V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 203.72/204.16 => 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))) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__least,axiom,
% 203.72/204.16 ! [V_z,V_x,V_y,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 203.72/204.16 => 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)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_le__supI,axiom,
% 203.72/204.16 ! [V_b,V_x,V_a,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 203.72/204.16 => 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)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__absorb1,axiom,
% 203.72/204.16 ! [V_x,V_y,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__absorb2,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_le__supI2,axiom,
% 203.72/204.16 ! [V_a,V_b,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 203.72/204.16 => 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))) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_le__supI1,axiom,
% 203.72/204.16 ! [V_b,V_a,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.72/204.16 => 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))) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_le__sup__iff,axiom,
% 203.72/204.16 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)),V_z_2))
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 203.72/204.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_le__iff__sup,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__ge2,axiom,
% 203.72/204.16 ! [V_x,V_y,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_inf__sup__ord_I4_J,axiom,
% 203.72/204.16 ! [V_x,V_y,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => 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))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__ge1,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => 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))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_inf__sup__ord_I3_J,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Olattice(T_a)
% 203.72/204.16 => 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))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_sup__bot__left,axiom,
% 203.72/204.16 ! [V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Obounded__lattice__bot(T_a)
% 203.72/204.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_diff__eq__diff__less__eq,axiom,
% 203.72/204.16 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.72/204.16 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.72/204.16 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_escape,axiom,
% 203.72/204.16 ! [V_Qa_2,V_ca_2,V_G_2,T_a,V_Pa_2] :
% 203.72/204.16 ( ! [B_Z,B_s] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 203.72/204.16 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) )
% 203.72/204.16 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_folding__one_Oremove,axiom,
% 203.72/204.16 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.16 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.16 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 203.72/204.16 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_the__elem__def,axiom,
% 203.72/204.16 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fun__left__comm__idem__remove,axiom,
% 203.72/204.16 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_LoopF,axiom,
% 203.72/204.16 ! [V_ca_2,V_b_2,V_Pa_2,V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_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_ca_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fold1Set_Ointros,axiom,
% 203.72/204.16 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2),V_x_2))
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_psubset__insert__iff,axiom,
% 203.72/204.16 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 203.72/204.16 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 203.72/204.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 203.72/204.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 203.72/204.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 203.72/204.16 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.16 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2)
% 203.72/204.16 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_Diff1__fold__graph,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_y_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_folding__one_Oinsert__remove,axiom,
% 203.72/204.16 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.16 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.16 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.72/204.16 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.16 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_finite_OemptyI,axiom,
% 203.72/204.16 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_finite_OinsertI,axiom,
% 203.72/204.16 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_finite__Diff,axiom,
% 203.72/204.16 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_evalc_OWhileTrue,axiom,
% 203.72/204.16 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] :
% 203.72/204.16 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_evalc_OWhileFalse,axiom,
% 203.72/204.16 ! [V_ca_2,V_s_2,V_b_2] :
% 203.72/204.16 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 203.72/204.16 ! [V_z_2,V_x_2,V_f_2,T_b,T_a] :
% 203.72/204.16 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 203.72/204.16 => 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) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_com_Osimps_I5_J,axiom,
% 203.72/204.16 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 203.72/204.16 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 203.72/204.16 <=> ( V_fun_2 = V_fun_H_2
% 203.72/204.16 & V_com_2 = V_com_H_2 ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__cases,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => ( V_x != V_y
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__asym,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I10_J,axiom,
% 203.72/204.16 ! [V_z,V_x,V_y,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__trans,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I2_J,axiom,
% 203.72/204.16 ! [V_c,V_a,V_b,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 203.72/204.16 => ( V_b = V_c
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_ord__less__eq__trans,axiom,
% 203.72/204.16 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Oord(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.72/204.16 => ( V_b = V_c
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_psubset__trans,axiom,
% 203.72/204.16 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I1_J,axiom,
% 203.72/204.16 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( V_a = V_b
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_ord__eq__less__trans,axiom,
% 203.72/204.16 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Oord(T_a)
% 203.72/204.16 => ( V_a = V_b
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I9_J,axiom,
% 203.72/204.16 ! [V_a,V_b,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__asym_H,axiom,
% 203.72/204.16 ! [V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__imp__not__eq2,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => V_y != V_x ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__imp__not__eq,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => V_x != V_y ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__imp__not__less,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__not__sym,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_less__imp__neq,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => V_x != V_y ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__neqE,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( V_x != V_y
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__antisym__conv3,axiom,
% 203.72/204.16 ! [V_x_2,V_y_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> V_x_2 = V_y_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__less__linear,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 | V_x = V_y
% 203.72/204.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_not__less__iff__gr__or__eq,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 203.72/204.16 | V_x_2 = V_y_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__neq__iff,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( V_x_2 != V_y_2
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__irrefl,axiom,
% 203.72/204.16 ! [V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fold__graph__imp__finite,axiom,
% 203.72/204.16 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_finite__code,axiom,
% 203.72/204.16 ! [V_A_2,T_a] :
% 203.72/204.16 ( class_Finite__Set_Ofinite(T_a)
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_finite,axiom,
% 203.72/204.16 ! [V_A_2,T_a] :
% 203.72/204.16 ( class_Finite__Set_Ofinite(T_a)
% 203.72/204.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_diff__eq__diff__less,axiom,
% 203.72/204.16 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.72/204.16 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.72/204.16 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 203.72/204.16 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 203.72/204.16 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 203.72/204.16 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 203.72/204.16 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 203.72/204.16 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_less__fun__def,axiom,
% 203.72/204.16 ! [V_g_2,V_f_2,T_a,T_b] :
% 203.72/204.16 ( class_Orderings_Oord(T_b)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 203.72/204.16 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_g_2),V_f_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I8_J,axiom,
% 203.72/204.16 ! [V_z,V_x,V_y,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__le__less__trans,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I7_J,axiom,
% 203.72/204.16 ! [V_z,V_x,V_y,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__le__trans,axiom,
% 203.72/204.16 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I11_J,axiom,
% 203.72/204.16 ! [V_a,V_b,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.72/204.16 => ( V_a != V_b
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__le__neq__trans,axiom,
% 203.72/204.16 ! [V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.16 => ( V_a != V_b
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__le__imp__less__or__eq,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 | V_x = V_y ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__antisym__conv2,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> V_x_2 = V_y_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__imp__le,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_leD,axiom,
% 203.72/204.16 ! [V_x,V_y,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_xt1_I12_J,axiom,
% 203.72/204.16 ! [V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( V_a != V_b
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__neq__le__trans,axiom,
% 203.72/204.16 ! [V_b,V_a,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( V_a != V_b
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__antisym__conv1,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> V_x_2 = V_y_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_not__leE,axiom,
% 203.72/204.16 ! [V_x,V_y,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_leI,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__le__less,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 | V_x_2 = V_y_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_less__le__not__le,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Opreorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_order__less__le,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Oorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 & V_x_2 != V_y_2 ) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__le__less__linear,axiom,
% 203.72/204.16 ! [V_y,V_x,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__not__le,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_linorder__not__less,axiom,
% 203.72/204.16 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.16 ( class_Orderings_Olinorder(T_a)
% 203.72/204.16 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 203.72/204.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_psubsetD,axiom,
% 203.72/204.16 ! [V_ca_2,V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_not__psubset__empty,axiom,
% 203.72/204.16 ! [V_A_2,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_less__supI1,axiom,
% 203.72/204.16 ! [V_b,V_a,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 203.72/204.16 => 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))) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_less__supI2,axiom,
% 203.72/204.16 ! [V_a,V_b,V_x,T_a] :
% 203.72/204.16 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 203.72/204.16 => 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))) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_subset__psubset__trans,axiom,
% 203.72/204.16 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_psubset__subset__trans,axiom,
% 203.72/204.16 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_psubset__imp__subset,axiom,
% 203.72/204.16 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.72/204.16
% 203.72/204.16 fof(fact_subset__iff__psubset__eq,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 | V_A_2 = V_B_2 ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_psubset__eq,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 & V_A_2 != V_B_2 ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite_Oequations_I1_J,axiom,
% 203.72/204.17 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__insert,axiom,
% 203.72/204.17 ! [V_A_2,V_a_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)))
% 203.72/204.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_rev__finite__subset,axiom,
% 203.72/204.17 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__subset,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__Un,axiom,
% 203.72/204.17 ! [V_G_2,V_F_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_G_2)))
% 203.72/204.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__UnI,axiom,
% 203.72/204.17 ! [V_G_2,V_F_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2))
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__Diff2,axiom,
% 203.72/204.17 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_empty__fold__graphE,axiom,
% 203.72/204.17 ! [V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2))
% 203.72/204.17 => V_x_2 = V_z_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__graph_OemptyI,axiom,
% 203.72/204.17 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 203.72/204.17 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_evalc_Oequations_I8_J,axiom,
% 203.72/204.17 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 203.72/204.17 <=> ( ( V_a5_2 = V_a2_2
% 203.72/204.17 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 203.72/204.17 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 203.72/204.17 & ? [B_s1] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 203.72/204.17 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_evalc_Oequations_I7_J,axiom,
% 203.72/204.17 ! [V_a2_2,V_a3_2,V_a1_2] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 203.72/204.17 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 203.72/204.17 => ? [B_s1] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 203.72/204.17 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_com_Osimps_I46_J,axiom,
% 203.72/204.17 ! [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) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_com_Osimps_I47_J,axiom,
% 203.72/204.17 ! [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) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_com_Osimps_I16_J,axiom,
% 203.72/204.17 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_com_Osimps_I17_J,axiom,
% 203.72/204.17 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 203.72/204.17
% 203.72/204.17 fof(fact_com_Osimps_I69_J,axiom,
% 203.72/204.17 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_a] : c_Com_Ocom_Ocom__case(T_a,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(V_f6_2,V_fun_2),V_com_2) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fun__left__comm__idem__insert,axiom,
% 203.72/204.17 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fun__left__comm__idem__sup,axiom,
% 203.72/204.17 ! [T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.17 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__Diff__insert,axiom,
% 203.72/204.17 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))))
% 203.72/204.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__graph_OinsertI,axiom,
% 203.72/204.17 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 203.72/204.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_diff__eq__diff__eq,axiom,
% 203.72/204.17 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.72/204.17 ( class_Groups_Oab__group__add(T_a)
% 203.72/204.17 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 203.72/204.17 => ( V_a_2 = V_b_2
% 203.72/204.17 <=> V_ca_2 = V_d_2 ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one_Oinsert,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple_Oremove,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_flat__lub__def,axiom,
% 203.72/204.17 ! [V_b_2,V_A_2,T_a] :
% 203.72/204.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 203.72/204.17 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = V_b_2 )
% 203.72/204.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 203.72/204.17 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 203.72/204.17 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] :
% 203.72/204.17 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 203.72/204.17 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 203.72/204.17 | ? [B_x,B_y] :
% 203.72/204.17 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 203.72/204.17 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2))
% 203.72/204.17 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one_Oclosed,axiom,
% 203.72/204.17 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__empty__induct,axiom,
% 203.72/204.17 ! [V_Pa_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 203.72/204.17 => ( ! [B_a,B_A] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A))
% 203.72/204.17 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 203.72/204.17 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_a),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) )
% 203.72/204.17 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__subset__induct,axiom,
% 203.72/204.17 ! [V_Pa_2,V_A_2,V_F_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.17 => ( ! [B_a,B_F] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_F))
% 203.72/204.17 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 203.72/204.17 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_F))) ) ) ) )
% 203.72/204.17 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_insert__fold1SetE,axiom,
% 203.72/204.17 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2)),V_x_2))
% 203.72/204.17 => ~ ! [B_a,B_A] :
% 203.72/204.17 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_x_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one__idem_Oidem,axiom,
% 203.72/204.17 ! [V_x_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.72/204.17 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple_Oempty,axiom,
% 203.72/204.17 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__one__idem_Oin__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple_Oinsert,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1Set_Oequations,axiom,
% 203.72/204.17 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2)),V_a3_2))
% 203.72/204.17 <=> ? [B_a,B_A] :
% 203.72/204.17 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 203.72/204.17 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_a3_2))
% 203.72/204.17 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_the__sym__eq__trivial,axiom,
% 203.72/204.17 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 203.72/204.17
% 203.72/204.17 fof(fact_the__eq__trivial,axiom,
% 203.72/204.17 ! [V_a_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__graph__permute__diff,axiom,
% 203.72/204.17 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_a] :
% 203.72/204.17 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_x_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.72/204.17 => 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)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__induct,axiom,
% 203.72/204.17 ! [V_Pa_2,V_F_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.17 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.17 => ( ! [B_x,B_F] :
% 203.72/204.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_F))
% 203.72/204.17 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 203.72/204.17 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_x),B_F))) ) ) )
% 203.72/204.17 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oremove,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = V_x_2 )
% 203.72/204.17 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_mult__left__idem,axiom,
% 203.72/204.17 ! [V_b,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_mult__idem,axiom,
% 203.72/204.17 ! [V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_times_Oidem,axiom,
% 203.72/204.17 ! [V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 203.72/204.17 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.17 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 203.72/204.17 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.17 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fun__left__comm__idem,axiom,
% 203.72/204.17 ! [T_a] :
% 203.72/204.17 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.17 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Osingleton,axiom,
% 203.72/204.17 ! [V_x_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oin__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Osubset__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Ounion__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__graph__insert__swap,axiom,
% 203.72/204.17 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] :
% 203.72/204.17 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_y_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oidem,axiom,
% 203.72/204.17 ! [V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oinsert,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.72/204.17 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oclosed,axiom,
% 203.72/204.17 ! [V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1__insert,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__diff1__ring,axiom,
% 203.72/204.17 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Rings_Oring(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__diff1,axiom,
% 203.72/204.17 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Oab__group__add(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 203.72/204.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod_Oremove,axiom,
% 203.72/204.17 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Ounion__inter,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_x_2),V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__le__Sup,axiom,
% 203.72/204.17 ! [V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 203.72/204.17 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 203.72/204.17 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.17 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf1I,axiom,
% 203.72/204.17 ! [T_a,V_B_2,V_x_2,V_A_2] :
% 203.72/204.17 ( hBOOL(hAPP(V_A_2,V_x_2))
% 203.72/204.17 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf1E,axiom,
% 203.72/204.17 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 203.72/204.17 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 203.72/204.17 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_IntI,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_IntE,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.17 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.17 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_finite__Int,axiom,
% 203.72/204.17 ! [V_G_2,V_F_2,T_a] :
% 203.72/204.17 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.17 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2)) )
% 203.72/204.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_G_2))) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oidem,axiom,
% 203.72/204.17 ! [V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__commute,axiom,
% 203.72/204.17 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_a),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))),V_A_2)),V_B_2) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_OF__eq,axiom,
% 203.72/204.17 ! [V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__absorb,axiom,
% 203.72/204.17 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__commute,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__left__absorb,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__left__commute,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__assoc,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf_Oidem,axiom,
% 203.72/204.17 ! [V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__idem,axiom,
% 203.72/204.17 ! [V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf_Ocommute,axiom,
% 203.72/204.17 ! [V_b,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__aci_I1_J,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__commute,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf_Oleft__idem,axiom,
% 203.72/204.17 ! [V_b,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__aci_I4_J,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__left__idem,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf_Oleft__commute,axiom,
% 203.72/204.17 ! [V_c,V_a,V_b,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__aci_I3_J,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__left__commute,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf_Oassoc,axiom,
% 203.72/204.17 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__aci_I2_J,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__assoc,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__apply,axiom,
% 203.72/204.17 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf1D1,axiom,
% 203.72/204.17 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 203.72/204.17 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf1D2,axiom,
% 203.72/204.17 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 203.72/204.17 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__fun__def,axiom,
% 203.72/204.17 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 203.72/204.17 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_a_2),V_A_2) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_x_2),V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__inf__insert,axiom,
% 203.72/204.17 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Ounion__inter,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oin__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_le__infE,axiom,
% 203.72/204.17 ! [V_b,V_a,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( 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)))
% 203.72/204.17 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.72/204.17 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__mono,axiom,
% 203.72/204.17 ! [V_d,V_b,V_c,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 203.72/204.17 => 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))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__greatest,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 203.72/204.17 => 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))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_le__infI,axiom,
% 203.72/204.17 ! [V_b,V_a,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 203.72/204.17 => 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))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__absorb2,axiom,
% 203.72/204.17 ! [V_x,V_y,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__absorb1,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_le__infI2,axiom,
% 203.72/204.17 ! [V_a,V_x,V_b,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 203.72/204.17 => 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)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_le__infI1,axiom,
% 203.72/204.17 ! [V_b,V_x,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 203.72/204.17 => 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)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_le__inf__iff,axiom,
% 203.72/204.17 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2)))
% 203.72/204.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_le__iff__inf,axiom,
% 203.72/204.17 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.72/204.17 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__le2,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__ord_I2_J,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__le1,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__ord_I1_J,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_less__infI1,axiom,
% 203.72/204.17 ! [V_b,V_x,V_a,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 203.72/204.17 => 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)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_less__infI2,axiom,
% 203.72/204.17 ! [V_a,V_x,V_b,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 203.72/204.17 => 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)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__bot__left,axiom,
% 203.72/204.17 ! [V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Obounded__lattice__bot(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__bot__right,axiom,
% 203.72/204.17 ! [V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Obounded__lattice__bot(T_a)
% 203.72/204.17 => 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) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_sup__inf__distrib2,axiom,
% 203.72/204.17 ! [V_x,V_z,V_y,T_a] :
% 203.72/204.17 ( class_Lattices_Odistrib__lattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__distrib2,axiom,
% 203.72/204.17 ! [V_x,V_z,V_y,T_a] :
% 203.72/204.17 ( class_Lattices_Odistrib__lattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_sup__inf__distrib1,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Odistrib__lattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__distrib1,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Odistrib__lattice(T_a)
% 203.72/204.17 => 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)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_sup__inf__absorb,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__sup__absorb,axiom,
% 203.72/204.17 ! [V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__iff,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.72/204.17 & hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_IntD1,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_IntD2,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__empty,axiom,
% 203.72/204.17 ! [V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__empty__left,axiom,
% 203.72/204.17 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__empty__right,axiom,
% 203.72/204.17 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_disjoint__iff__not__equal,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 <=> ! [B_x] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.17 => ! [B_xa] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))
% 203.72/204.17 => B_x != B_xa ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_insert__inter__insert,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__lower1,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__lower2,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__absorb2,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__absorb1,axiom,
% 203.72/204.17 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__greatest,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__mono,axiom,
% 203.72/204.17 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__Un__distrib,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Un__Int__distrib,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__Un__distrib2,axiom,
% 203.72/204.17 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Un__Int__distrib2,axiom,
% 203.72/204.17 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Un__Int__crazy,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__Int__distrib,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_C_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__Diff,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__Int__distrib2,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__Int2,axiom,
% 203.72/204.17 ! [V_B_2,V_C_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod__timesf,axiom,
% 203.72/204.17 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),V_A_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__right__distrib,axiom,
% 203.72/204.17 ! [V_A_2,V_f_2,T_b,V_r_2,T_a] :
% 203.72/204.17 ( class_Rings_Osemiring__0(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2)),V_f_2)),V_A_2) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__left__distrib,axiom,
% 203.72/204.17 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( class_Rings_Osemiring__0(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__product,axiom,
% 203.72/204.17 ! [V_B_2,V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( class_Rings_Osemiring__0(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold__inf__le__inf,axiom,
% 203.72/204.17 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2))) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod__Un__Int,axiom,
% 203.72/204.17 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod_Ounion__inter,axiom,
% 203.72/204.17 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setsum__subtractf,axiom,
% 203.72/204.17 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.17 ( class_Groups_Oab__group__add(T_a)
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fun__left__comm__idem__inf,axiom,
% 203.72/204.17 ! [T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1__belowI,axiom,
% 203.72/204.17 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_below__fold1__iff,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)))
% 203.72/204.17 <=> ! [B_x] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_inf__Int__eq,axiom,
% 203.72/204.17 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 203.72/204.17 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1__eq__fold__idem,axiom,
% 203.72/204.17 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Osubset__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Ounion__idem,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod__Un__disjoint,axiom,
% 203.72/204.17 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod_Ounion__disjoint,axiom,
% 203.72/204.17 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_distrib__inf__le,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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)))) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_distrib__sup__le,axiom,
% 203.72/204.17 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => 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)))) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oinsert,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1__eq__fold,axiom,
% 203.72/204.17 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 203.72/204.17 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Lattices_Olattice(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.72/204.17 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1__Un,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__insert__left__if1,axiom,
% 203.72/204.17 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__insert__right__if1,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 203.72/204.17 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__insert__left__if0,axiom,
% 203.72/204.17 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 203.72/204.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__insert__right__if0,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 203.72/204.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__insert__left,axiom,
% 203.72/204.17 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 203.72/204.17 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 203.72/204.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Int__insert__right,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 203.72/204.17 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 203.72/204.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__triv,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.17 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__disjoint,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Un__Int__assoc__eq,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.72/204.17 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.72/204.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_setprod_Odistrib,axiom,
% 203.72/204.17 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 203.72/204.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__Int,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Diff__Un,axiom,
% 203.72/204.17 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 203.72/204.17
% 203.72/204.17 fof(fact_Un__Diff__Int,axiom,
% 203.72/204.17 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 203.72/204.17
% 203.72/204.17 fof(fact_fold1__singleton,axiom,
% 203.72/204.18 ! [V_a_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold1__singleton__def,axiom,
% 203.72/204.18 ! [V_a_2,V_f_2,T_a,V_g_2] :
% 203.72/204.18 ( V_g_2 = c_Finite__Set_Ofold1(T_a,V_f_2)
% 203.72/204.18 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Inf__fin_Osingleton,axiom,
% 203.72/204.18 ! [V_x_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Inf__fin_Oremove,axiom,
% 203.72/204.18 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = V_x_2 )
% 203.72/204.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold__def,axiom,
% 203.72/204.18 ! [V_A_2,V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold__graph(T_b,T_a,V_f_2,V_z_2,V_A_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__diff__nat,axiom,
% 203.72/204.18 ! [V_f_2,V_A_2,V_B_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__one_Oeq__fold,axiom,
% 203.72/204.18 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_union__fold__insert,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)),V_B_2),V_A_2) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold__sup__insert,axiom,
% 203.72/204.18 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_inf__Sup__absorb,axiom,
% 203.72/204.18 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 203.72/204.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 203.72/204.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 203.72/204.18 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_a_2),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold1__def,axiom,
% 203.72/204.18 ! [V_A_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.72/204.18 => 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)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setprod_Oinsert,axiom,
% 203.72/204.18 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setprod__insert,axiom,
% 203.72/204.18 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_sup__Inf__absorb,axiom,
% 203.72/204.18 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Sup__fin_OF__eq,axiom,
% 203.72/204.18 ! [V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__diff1__nat,axiom,
% 203.72/204.18 ! [V_f_2,V_A_2,V_a_2,T_a] :
% 203.72/204.18 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 203.72/204.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__diff,axiom,
% 203.72/204.18 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Oab__group__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_sup__le__fold__sup,axiom,
% 203.72/204.18 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 203.72/204.18 ! [V_a_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_a_2),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_minus__fold__remove,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__one_Oeq__fold_H,axiom,
% 203.72/204.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setprod_Oinsert__remove,axiom,
% 203.72/204.18 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.72/204.18 => ( 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))
% 203.72/204.18 => 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)) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__one_Ounion__inter,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_folding__one_Ounion__disjoint,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold1__insert__idem,axiom,
% 203.72/204.18 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold1__Un2,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_semilattice__big_OF__eq,axiom,
% 203.72/204.18 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 203.72/204.18 ( c_Big__Operators_Osemilattice__big(T_a,V_f_2,V_F_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 203.72/204.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 203.72/204.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Inf__fin_Oclosed,axiom,
% 203.72/204.18 ! [V_A_2,T_a] :
% 203.72/204.18 ( class_Lattices_Olattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fold1__in,axiom,
% 203.72/204.18 ! [V_A_2,T_a] :
% 203.72/204.18 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),V_A_2)) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUPR__fold__sup,axiom,
% 203.72/204.18 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 203.72/204.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 203.72/204.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__strict__mono,axiom,
% 203.72/204.18 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 & class_Groups_Oordered__cancel__ab__semigroup__add(T_b) )
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => ( ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2))) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__diff1_H,axiom,
% 203.72/204.18 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP1__I,axiom,
% 203.72/204.18 ! [T_b,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP2__I,axiom,
% 203.72/204.18 ! [T_c,T_b,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 203.72/204.18 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__right__imp__eq,axiom,
% 203.72/204.18 ! [V_c,V_a,V_b,T_a] :
% 203.72/204.18 ( class_Groups_Ocancel__semigroup__add(T_a)
% 203.72/204.18 => ( 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)
% 203.72/204.18 => V_b = V_c ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__imp__eq,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 203.72/204.18 => ( 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)
% 203.72/204.18 => V_b = V_c ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__left__imp__eq,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Ocancel__semigroup__add(T_a)
% 203.72/204.18 => ( 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)
% 203.72/204.18 => V_b = V_c ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__right__cancel,axiom,
% 203.72/204.18 ! [V_ca_2,V_a_2,V_b_2,T_a] :
% 203.72/204.18 ( class_Groups_Ocancel__semigroup__add(T_a)
% 203.72/204.18 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)
% 203.72/204.18 <=> V_b_2 = V_ca_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__left__cancel,axiom,
% 203.72/204.18 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Groups_Ocancel__semigroup__add(T_a)
% 203.72/204.18 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)
% 203.72/204.18 <=> V_b_2 = V_ca_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oab__semigroup__add(T_a)
% 203.72/204.18 => 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 203.72/204.18 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => c_Finite__Set_Ofun__left__comm(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_finite__UN,axiom,
% 203.72/204.18 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.18 <=> ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__cancel__right,axiom,
% 203.72/204.18 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__cancel__left,axiom,
% 203.72/204.18 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__right__mono,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__left__mono,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__mono,axiom,
% 203.72/204.18 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 203.72/204.18 => 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))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__imp__le__right,axiom,
% 203.72/204.18 ! [V_b,V_c,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( 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)))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__imp__le__left,axiom,
% 203.72/204.18 ! [V_b,V_a,V_c,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( 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)))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__cancel__right,axiom,
% 203.72/204.18 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__cancel__left,axiom,
% 203.72/204.18 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__strict__right__mono,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__strict__left__mono,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__strict__mono,axiom,
% 203.72/204.18 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 203.72/204.18 => 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))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__imp__less__right,axiom,
% 203.72/204.18 ! [V_b,V_c,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( 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)))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__imp__less__left,axiom,
% 203.72/204.18 ! [V_b,V_a,V_c,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.72/204.18 => ( 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)))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__add__cancel,axiom,
% 203.72/204.18 ! [V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Ogroup__add(T_a)
% 203.72/204.18 => 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 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__diff__cancel,axiom,
% 203.72/204.18 ! [V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Ogroup__add(T_a)
% 203.72/204.18 => 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 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__addf,axiom,
% 203.72/204.18 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm,axiom,
% 203.72/204.18 ! [T_a] :
% 203.72/204.18 ( class_Groups_Oab__semigroup__mult(T_a)
% 203.72/204.18 => c_Finite__Set_Ofun__left__comm(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__le__mono,axiom,
% 203.72/204.18 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 203.72/204.18 => 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))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__less__mono,axiom,
% 203.72/204.18 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 203.72/204.18 => 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))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 203.72/204.18 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 203.72/204.18 => V_y_2 = V_x_2 ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum_Odistrib,axiom,
% 203.72/204.18 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Oplus__class_Oplus(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__Un__nat,axiom,
% 203.72/204.18 ! [V_f_2,V_B_2,V_A_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 203.72/204.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 203.72/204.18 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 203.72/204.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum_Oinsert,axiom,
% 203.72/204.18 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__insert,axiom,
% 203.72/204.18 ! [V_f_2,V_a_2,V_F_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_F_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_F_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__Un__Int,axiom,
% 203.72/204.18 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum_Oinsert__remove,axiom,
% 203.72/204.18 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__Un__disjoint,axiom,
% 203.72/204.18 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum__Un,axiom,
% 203.72/204.18 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Oab__group__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_sup__SUPR__fold__sup,axiom,
% 203.72/204.18 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 203.72/204.18 ! [V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_setsum_Oremove,axiom,
% 203.72/204.18 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__add__iff2,axiom,
% 203.72/204.18 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Rings_Oordered__ring(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__add__iff1,axiom,
% 203.72/204.18 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Rings_Oordered__ring(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add__iff2,axiom,
% 203.72/204.18 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Rings_Oordered__ring(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add__iff1,axiom,
% 203.72/204.18 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Rings_Oordered__ring(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__I,axiom,
% 203.72/204.18 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__SUPI,axiom,
% 203.72/204.18 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_M_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP__subset,axiom,
% 203.72/204.18 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_B_2),V_f_2))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_eq__add__iff2,axiom,
% 203.72/204.18 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Rings_Oring(T_a)
% 203.72/204.18 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 203.72/204.18 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_eq__add__iff1,axiom,
% 203.72/204.18 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 203.72/204.18 ( class_Rings_Oring(T_a)
% 203.72/204.18 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 203.72/204.18 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_ball__UN,axiom,
% 203.72/204.18 ! [V_Pa_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.18 ( ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.18 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.72/204.18 <=> ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.18 => ! [B_xa] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(V_B_2,B_x)))
% 203.72/204.18 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__UN__flatten,axiom,
% 203.72/204.18 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I9_J,axiom,
% 203.72/204.18 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I9_J,axiom,
% 203.72/204.18 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP1__iff,axiom,
% 203.72/204.18 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 203.72/204.18 <=> ? [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.18 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP2__iff,axiom,
% 203.72/204.18 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 203.72/204.18 <=> ? [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.18 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_linorder__neqE__linordered__idom,axiom,
% 203.72/204.18 ! [V_y,V_x,T_a] :
% 203.72/204.18 ( class_Rings_Olinordered__idom(T_a)
% 203.72/204.18 => ( V_x != V_y
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__iff,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.18 <=> ? [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.18 & hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UNION__empty__conv_I1_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.18 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 203.72/204.18 <=> ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.18 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__empty2,axiom,
% 203.72/204.18 ! [V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__constant,axiom,
% 203.72/204.18 ! [V_ca_2,T_b,T_a,V_A_2] :
% 203.72/204.18 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.18 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UNION__empty__conv_I2_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.18 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 <=> ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.18 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__subset__iff,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 203.72/204.18 <=> ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__Un,axiom,
% 203.72/204.18 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__Un__distrib,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I5_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I4_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I5_J,axiom,
% 203.72/204.18 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Int__UN__distrib,axiom,
% 203.72/204.18 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I4_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Int__UN__distrib2,axiom,
% 203.72/204.18 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP__commute,axiom,
% 203.72/204.18 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUPR__apply,axiom,
% 203.72/204.18 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.18 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I6_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I6_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_combine__common__factor,axiom,
% 203.72/204.18 ! [V_c,V_b,V_e,V_a,T_a] :
% 203.72/204.18 ( class_Rings_Osemiring(T_a)
% 203.72/204.18 => 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) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_comm__semiring__class_Odistrib,axiom,
% 203.72/204.18 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.18 ( class_Rings_Ocomm__semiring(T_a)
% 203.72/204.18 => 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__insert__distrib,axiom,
% 203.72/204.18 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__upper,axiom,
% 203.72/204.18 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__absorb,axiom,
% 203.72/204.18 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I1_J,axiom,
% 203.72/204.18 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 203.72/204.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__singleton,axiom,
% 203.72/204.18 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I1_J,axiom,
% 203.72/204.18 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 203.72/204.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 203.72/204.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP__le__iff,axiom,
% 203.72/204.18 ! [V_u_2,V_M_2,V_A_2,T_b,T_a] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_M_2)),V_u_2))
% 203.72/204.18 <=> ! [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__SUP__iff,axiom,
% 203.72/204.18 ! [V_f_2,V_A_2,T_b,V_a_2,T_a] :
% 203.72/204.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.18 & class_Orderings_Olinorder(T_a) )
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_f_2)))
% 203.72/204.18 <=> ? [B_x] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I3_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__simps_I2_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I3_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 203.72/204.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__extend__simps_I2_J,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 203.72/204.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_UN__insert,axiom,
% 203.72/204.18 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_SUP__const,axiom,
% 203.72/204.18 ! [V_M_2,T_a,V_A_2,T_b] :
% 203.72/204.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 203.72/204.18 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.18 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.18 => ? [B_y_H] :
% 203.72/204.18 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 203.72/204.18 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__less__add__iff2,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 203.72/204.18 => ( 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)))
% 203.72/204.18 <=> 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__less__add__iff1,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 203.72/204.18 => ( 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)))
% 203.72/204.18 <=> 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)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__eq__add__iff2,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 203.72/204.18 => ( 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)
% 203.72/204.18 <=> 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) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__diff__add__eq2,axiom,
% 203.72/204.18 ! [V_n,V_m,V_u,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__le__add__iff2,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 203.72/204.18 => ( 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)))
% 203.72/204.18 <=> 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__eq__add__iff1,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 203.72/204.18 => ( 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)
% 203.72/204.18 <=> 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 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__diff__add__eq1,axiom,
% 203.72/204.18 ! [V_n,V_m,V_u,V_i,V_j] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 203.72/204.18 => 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) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__le__add__iff1,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 203.72/204.18 => ( 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)))
% 203.72/204.18 <=> 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)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_left__add__mult__distrib,axiom,
% 203.72/204.18 ! [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) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__diff__right,axiom,
% 203.72/204.18 ! [V_i,V_j,V_k] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.18 => 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) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__diff__conv,axiom,
% 203.72/204.18 ! [V_i_2,V_k_2,V_j_2] :
% 203.72/204.18 ( 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))
% 203.72/204.18 <=> 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add__diff,axiom,
% 203.72/204.18 ! [V_m,V_n,V_k] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add__diff__inverse,axiom,
% 203.72/204.18 ! [V_m,V_n] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.72/204.18 => 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 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__diff__assoc,axiom,
% 203.72/204.18 ! [V_i,V_j,V_k] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.18 => 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) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__diff__conv2,axiom,
% 203.72/204.18 ! [V_i_2,V_j_2,V_k_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 203.72/204.18 => ( 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)))
% 203.72/204.18 <=> 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)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add__diff__inverse2,axiom,
% 203.72/204.18 ! [V_m,V_n] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.72/204.18 => 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 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__imp__diff__is__add,axiom,
% 203.72/204.18 ! [V_k_2,V_j_2,V_i_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 203.72/204.18 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 203.72/204.18 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__add__assoc,axiom,
% 203.72/204.18 ! [V_i,V_j,V_k] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.18 => 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__less__cases,axiom,
% 203.72/204.18 ! [V_Pa_2,V_n_2,V_m_2] :
% 203.72/204.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 203.72/204.18 => ( ( V_m_2 = V_n_2
% 203.72/204.18 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 203.72/204.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 203.72/204.18 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 203.72/204.18 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__not__refl3,axiom,
% 203.72/204.18 ! [V_t,V_s] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 203.72/204.18 => V_s != V_t ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__not__refl2,axiom,
% 203.72/204.18 ! [V_m,V_n] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 203.72/204.18 => V_m != V_n ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__irrefl__nat,axiom,
% 203.72/204.18 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_linorder__neqE__nat,axiom,
% 203.72/204.18 ! [V_y,V_x] :
% 203.72/204.18 ( V_x != V_y
% 203.72/204.18 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__neq__iff,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2] :
% 203.72/204.18 ( V_m_2 != V_n_2
% 203.72/204.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__not__refl,axiom,
% 203.72/204.18 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__commute,axiom,
% 203.72/204.18 ! [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) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__left__commute,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__assoc,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__left__cancel,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.18 ( 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)
% 203.72/204.18 <=> V_m_2 = V_n_2 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__right__cancel,axiom,
% 203.72/204.18 ! [V_n_2,V_k_2,V_m_2] :
% 203.72/204.18 ( 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)
% 203.72/204.18 <=> V_m_2 = V_n_2 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__antisym,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.72/204.18 => V_m = V_n ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__trans,axiom,
% 203.72/204.18 ! [V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_eq__imp__le,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( V_m = V_n
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__le__linear,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__refl,axiom,
% 203.72/204.18 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__commute,axiom,
% 203.72/204.18 ! [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) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__mult__commute,axiom,
% 203.72/204.18 ! [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) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__mult__assoc,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_not__add__less1,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_not__add__less2,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__left__cancel__less,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.18 ( 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)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_trans__less__add1,axiom,
% 203.72/204.18 ! [V_m,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_trans__less__add2,axiom,
% 203.72/204.18 ! [V_m,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__mono1,axiom,
% 203.72/204.18 ! [V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__less__mono,axiom,
% 203.72/204.18 ! [V_l,V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__add__eq__less,axiom,
% 203.72/204.18 ! [V_n,V_m,V_l,V_k] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 203.72/204.18 => ( 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)
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__lessD1,axiom,
% 203.72/204.18 ! [V_k,V_j,V_i] :
% 203.72/204.18 ( 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))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__or__eq__imp__le,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 | V_m = V_n )
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__neq__implies__less,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => ( V_m != V_n
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__imp__le__nat,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__eq__less__or__eq,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 | V_m_2 = V_n_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__less__le,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 & V_m_2 != V_n_2 ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add2,axiom,
% 203.72/204.18 ! [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))) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__add1,axiom,
% 203.72/204.18 ! [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))) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__iff__add,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.18 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_nat__add__left__cancel__le,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.18 ( 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)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_trans__le__add1,axiom,
% 203.72/204.18 ! [V_m,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_trans__le__add2,axiom,
% 203.72/204.18 ! [V_m,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__mono1,axiom,
% 203.72/204.18 ! [V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__le__mono,axiom,
% 203.72/204.18 ! [V_l,V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__leD2,axiom,
% 203.72/204.18 ! [V_n,V_k,V_m] :
% 203.72/204.18 ( 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))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__leD1,axiom,
% 203.72/204.18 ! [V_n,V_k,V_m] :
% 203.72/204.18 ( 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))
% 203.72/204.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__leE,axiom,
% 203.72/204.18 ! [V_n,V_k,V_m] :
% 203.72/204.18 ( 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))
% 203.72/204.18 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__less__mono2,axiom,
% 203.72/204.18 ! [V_l,V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__imp__diff__less,axiom,
% 203.72/204.18 ! [V_n,V_k,V_j] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 203.72/204.18 => 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__cancel2,axiom,
% 203.72/204.18 ! [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) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__cancel,axiom,
% 203.72/204.18 ! [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) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__diff__left,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__add__inverse,axiom,
% 203.72/204.18 ! [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 ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__add__inverse2,axiom,
% 203.72/204.18 ! [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 ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__mult__distrib,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__mult__distrib2,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__diff__iff,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 203.72/204.18 => ( 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)))
% 203.72/204.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_Nat_Odiff__diff__eq,axiom,
% 203.72/204.18 ! [V_n,V_m,V_k] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 203.72/204.18 => 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) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_eq__diff__iff,axiom,
% 203.72/204.18 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 203.72/204.18 => ( 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)
% 203.72/204.18 <=> V_m_2 = V_n_2 ) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__diff__cancel,axiom,
% 203.72/204.18 ! [V_n,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 203.72/204.18 => 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 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__le__mono,axiom,
% 203.72/204.18 ! [V_l,V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__le__mono2,axiom,
% 203.72/204.18 ! [V_l,V_n,V_m] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__le__self,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__square,axiom,
% 203.72/204.18 ! [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))) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_le__cube,axiom,
% 203.72/204.18 ! [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)))) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_mult__le__mono1,axiom,
% 203.72/204.18 ! [V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_mult__le__mono2,axiom,
% 203.72/204.18 ! [V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => 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))) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_mult__le__mono,axiom,
% 203.72/204.18 ! [V_l,V_k,V_j,V_i] :
% 203.72/204.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 203.72/204.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 203.72/204.18 => 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))) ) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__mult__distrib2,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_diff__mult__distrib,axiom,
% 203.72/204.18 ! [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)) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_add__diff__inverse,axiom,
% 203.72/204.18 ! [V_n,V_m] :
% 203.72/204.18 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.18 => 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 ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__diff__conv,axiom,
% 203.72/204.18 ! [V_k_2,V_j_2,V_i_2] :
% 203.72/204.18 ( 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)))
% 203.72/204.18 <=> 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)) ) ).
% 203.72/204.18
% 203.72/204.18 fof(fact_less__diff__iff,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 203.72/204.19 => ( 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)))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__less__mono,axiom,
% 203.72/204.19 ! [V_c,V_b,V_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 203.72/204.19 => 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))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__add__assoc2,axiom,
% 203.72/204.19 ! [V_i,V_j,V_k] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_add__diff__assoc2,axiom,
% 203.72/204.19 ! [V_i,V_j,V_k] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_termination__basic__simps_I3_J,axiom,
% 203.72/204.19 ! [V_z,V_y,V_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 203.72/204.19 => 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))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_termination__basic__simps_I4_J,axiom,
% 203.72/204.19 ! [V_y,V_z,V_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 203.72/204.19 => 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))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_termination__basic__simps_I5_J,axiom,
% 203.72/204.19 ! [V_y,V_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_termination__basic__simps_I1_J,axiom,
% 203.72/204.19 ! [V_z,V_y,V_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 203.72/204.19 => 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))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_termination__basic__simps_I2_J,axiom,
% 203.72/204.19 ! [V_y,V_z,V_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 203.72/204.19 => 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))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_crossproduct__eq,axiom,
% 203.72/204.19 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] :
% 203.72/204.19 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 203.72/204.19 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 203.72/204.19 <=> ( V_w_2 = V_x_2
% 203.72/204.19 | V_y_2 = V_z_2 ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 203.72/204.19 ! [V_b,V_m,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 203.72/204.19 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_crossproduct__noteq,axiom,
% 203.72/204.19 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.72/204.19 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 203.72/204.19 => ( ( V_a_2 != V_b_2
% 203.72/204.19 & V_ca_2 != V_d_2 )
% 203.72/204.19 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 203.72/204.19 ! [V_c,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 203.72/204.19 ! [V_d,V_c,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 203.72/204.19 ! [V_d,V_c,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 203.72/204.19 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 203.72/204.19 ! [V_c,V_b,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 203.72/204.19 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 203.72/204.19 ! [V_b,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 203.72/204.19 ! [V_ry,V_rx,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 203.72/204.19 ! [V_ry,V_rx,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 203.72/204.19 ! [V_rx,V_ly,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 203.72/204.19 ! [V_rx,V_ly,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 203.72/204.19 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 203.72/204.19 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 203.72/204.19 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 203.72/204.19 ! [V_z,V_y,V_x,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__fold__sup,axiom,
% 203.72/204.19 ! [V_A_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),c_Orderings_Obot__class_Obot(T_a)),V_A_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff2__less,axiom,
% 203.72/204.19 ! [V_y_2,V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff1__less,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.19 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.72/204.19 => ( ! [B_x] :
% 203.72/204.19 ( 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)))
% 203.72/204.19 => hAPP(V_g_2,B_x) = V_z_2 )
% 203.72/204.19 => 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)) ) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 203.72/204.19 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 203.72/204.19 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_v_2))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => ~ ! [B_y] :
% 203.72/204.19 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 203.72/204.19 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__UN__I,axiom,
% 203.72/204.19 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( ! [B_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_inf__le__fold__inf,axiom,
% 203.72/204.19 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 203.72/204.19 ( class_Lattices_Osemilattice__inf(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_ca_2),V_A_2))) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_fold__sup__le__sup,axiom,
% 203.72/204.19 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 203.72/204.19 ( class_Lattices_Osemilattice__sup(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b_2),V_ca_2))) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_inf__INFI__fold__inf,axiom,
% 203.72/204.19 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UnionI,axiom,
% 203.72/204.19 ! [V_A_2,V_C_2,V_X_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__E,axiom,
% 203.72/204.19 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2)))
% 203.72/204.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__D,axiom,
% 203.72/204.19 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF1__E,axiom,
% 203.72/204.19 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 203.72/204.19 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF1__D,axiom,
% 203.72/204.19 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF2__E,axiom,
% 203.72/204.19 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 203.72/204.19 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF2__D,axiom,
% 203.72/204.19 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__INT,axiom,
% 203.72/204.19 ! [V_A_2,T_b,V_I_2,T_a] :
% 203.72/204.19 ( ? [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2))
% 203.72/204.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) )
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INFI__apply,axiom,
% 203.72/204.19 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF__commute,axiom,
% 203.72/204.19 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__empty,axiom,
% 203.72/204.19 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__UnionD,axiom,
% 203.72/204.19 ! [V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__mono,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__upper,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__insert,axiom,
% 203.72/204.19 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Un__eq__Union,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__Un__distrib,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__iff,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I5_J,axiom,
% 203.72/204.19 ! [V_B_2,V_a_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I5_J,axiom,
% 203.72/204.19 ! [V_B_2,V_C_2,T_b,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__subset__iff,axiom,
% 203.72/204.19 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Un__INT__distrib2,axiom,
% 203.72/204.19 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I6_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Un__INT__distrib,axiom,
% 203.72/204.19 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I7_J,axiom,
% 203.72/204.19 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I6_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I7_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__Int__distrib,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I9_J,axiom,
% 203.72/204.19 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I9_J,axiom,
% 203.72/204.19 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Int__Union2,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Int__Union,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UN__simps_I8_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UN__extend__simps_I8_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__le__iff,axiom,
% 203.72/204.19 ! [V_b_2,V_A_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)),V_b_2))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__Sup__iff,axiom,
% 203.72/204.19 ! [V_S_2,V_a_2,T_a] :
% 203.72/204.19 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 & class_Orderings_Olinorder(T_a) )
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2)))
% 203.72/204.19 <=> ? [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 203.72/204.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),B_x)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__disjoint,axiom,
% 203.72/204.19 ! [V_A_2,V_C_2,T_a] :
% 203.72/204.19 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_C_2))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__Int__subset,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_le__INF__iff,axiom,
% 203.72/204.19 ! [V_M_2,V_A_2,T_b,V_u_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_M_2)))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF__less__iff,axiom,
% 203.72/204.19 ! [V_a_2,V_f_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 & class_Orderings_Olinorder(T_a) )
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_f_2)),V_a_2))
% 203.72/204.19 <=> ? [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__insert__distrib,axiom,
% 203.72/204.19 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__lower,axiom,
% 203.72/204.19 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__absorb,axiom,
% 203.72/204.19 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF__const,axiom,
% 203.72/204.19 ! [V_M_2,T_a,V_A_2,T_b] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I1_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I2_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__insert,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__Un,axiom,
% 203.72/204.19 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UN__extend__simps_I7_J,axiom,
% 203.72/204.19 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UN__simps_I7_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__upper,axiom,
% 203.72/204.19 ! [V_A_2,V_x_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__insert__le,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__mono,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__seteq,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)))
% 203.72/204.19 => V_A_2 = V_B_2 ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__empty,axiom,
% 203.72/204.19 ! [T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__singleton,axiom,
% 203.72/204.19 ! [V_a_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__insert,axiom,
% 203.72/204.19 ! [V_A_2,V_a_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF__subset,axiom,
% 203.72/204.19 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_psubset__card__mono,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I4_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF__leI,axiom,
% 203.72/204.19 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card_Ounion__inter,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Un__Int,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff__subset,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff__subset__Int,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__card__le__card__Diff,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__psubset,axiom,
% 203.72/204.19 ! [V_A_2,V_B_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__binary,axiom,
% 203.72/204.19 ! [V_b_2,V_a_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_sup__Sup__fold__sup,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_B_2),V_A_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__fin__Sup,axiom,
% 203.72/204.19 ! [V_A_2,T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Un__disjoint,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.72/204.19 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff1__le,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff__singleton__if,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 203.72/204.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff__singleton,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card_Oremove,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INFI__fold__inf,axiom,
% 203.72/204.19 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card_Oinsert__remove,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Diff__insert,axiom,
% 203.72/204.19 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Suc__Diff1,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card_Oinsert,axiom,
% 203.72/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__Plus,axiom,
% 203.72/204.19 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.72/204.19 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UNIV__I,axiom,
% 203.72/204.19 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_lessI,axiom,
% 203.72/204.19 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__mono,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__def,axiom,
% 203.72/204.19 ! [V_S_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__UNIV__unit,axiom,
% 203.72/204.19 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) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF1__iff,axiom,
% 203.72/204.19 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Union__UNIV,axiom,
% 203.72/204.19 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a,T_b] :
% 203.72/204.19 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I8_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I8_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.72/204.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF2__iff,axiom,
% 203.72/204.19 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.72/204.19 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__Suc__1,axiom,
% 203.72/204.19 ! [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 ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__inject,axiom,
% 203.72/204.19 ! [V_y,V_x] :
% 203.72/204.19 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 203.72/204.19 => V_x = V_y ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_nat_Oinject,axiom,
% 203.72/204.19 ! [V_nat_H_2,V_nat_2] :
% 203.72/204.19 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 203.72/204.19 <=> V_nat_2 = V_nat_H_2 ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__n__not__n,axiom,
% 203.72/204.19 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 203.72/204.19
% 203.72/204.19 fof(fact_n__not__Suc__n,axiom,
% 203.72/204.19 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__fun__UNIVD2,axiom,
% 203.72/204.19 ! [T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_top__apply,axiom,
% 203.72/204.19 ! [V_x_2,T_b,T_a] :
% 203.72/204.19 ( class_Orderings_Otop(T_a)
% 203.72/204.19 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_one__reorient,axiom,
% 203.72/204.19 ! [V_x_2,T_a] :
% 203.72/204.19 ( class_Groups_Oone(T_a)
% 203.72/204.19 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 203.72/204.19 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__Prod__UNIV,axiom,
% 203.72/204.19 ! [T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__option__UNIV,axiom,
% 203.72/204.19 ! [T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool))))
% 203.72/204.19 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__Plus__UNIV__iff,axiom,
% 203.72/204.19 ! [T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))))
% 203.72/204.19 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Sup__UNIV,axiom,
% 203.72/204.19 ! [T_a] :
% 203.72/204.19 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.72/204.19 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_mult_Ocomm__neutral,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_mult__1__right,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Groups_Omonoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_mult__1,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_mult__1__left,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Groups_Omonoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__less__SucD,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__lessD,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__SucE,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => V_m = V_n ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__trans__Suc,axiom,
% 203.72/204.19 ! [V_k,V_j,V_i] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__lessI,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__SucI,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__antisym,axiom,
% 203.72/204.19 ! [V_m,V_n] :
% 203.72/204.19 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 203.72/204.19 => V_m = V_n ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_not__less__less__Suc__eq,axiom,
% 203.72/204.19 ! [V_m_2,V_n_2] :
% 203.72/204.19 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 203.72/204.19 <=> V_n_2 = V_m_2 ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__less__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( 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)))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__Suc__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 203.72/204.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.19 | V_m_2 = V_n_2 ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_not__less__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_add__Suc__shift,axiom,
% 203.72/204.19 ! [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)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_add__Suc,axiom,
% 203.72/204.19 ! [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)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_add__Suc__right,axiom,
% 203.72/204.19 ! [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)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__n__not__le__n,axiom,
% 203.72/204.19 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_not__less__eq__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_le__Suc__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 203.72/204.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.19 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__le__mono,axiom,
% 203.72/204.19 ! [V_m_2,V_n_2] :
% 203.72/204.19 ( 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)))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_le__SucI,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_le__SucE,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 203.72/204.19 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__leD,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_UNIV__not__empty,axiom,
% 203.72/204.19 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod__eq__1__iff,axiom,
% 203.72/204.19 ! [V_f_2,V_F_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.72/204.19 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.72/204.19 <=> ! [B_x] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2))
% 203.72/204.19 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__UNIV,axiom,
% 203.72/204.19 ! [T_a] :
% 203.72/204.19 ( class_Finite__Set_Ofinite(T_a)
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__Suc__Suc,axiom,
% 203.72/204.19 ! [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) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__diff__diff,axiom,
% 203.72/204.19 ! [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) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__mult__cancel1,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.19 ( 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)
% 203.72/204.19 <=> V_m_2 = V_n_2 ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_subset__UNIV,axiom,
% 203.72/204.19 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Un__UNIV__right,axiom,
% 203.72/204.19 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Un__UNIV__left,axiom,
% 203.72/204.19 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Int__UNIV__right,axiom,
% 203.72/204.19 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Int__UNIV__left,axiom,
% 203.72/204.19 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 203.72/204.19
% 203.72/204.19 fof(fact_nat__mult__eq__1__iff,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.72/204.19 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.72/204.19 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_nat__mult__1__right,axiom,
% 203.72/204.19 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 203.72/204.19
% 203.72/204.19 fof(fact_nat__1__eq__mult__iff,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 203.72/204.19 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.72/204.19 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_nat__mult__1,axiom,
% 203.72/204.19 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INF__INT__eq,axiom,
% 203.72/204.19 ! [V_x_2,V_r_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__empty,axiom,
% 203.72/204.19 ! [V_B_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__constant,axiom,
% 203.72/204.19 ! [V_ca_2,T_b,T_a,V_A_2] :
% 203.72/204.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod__1,axiom,
% 203.72/204.19 ! [V_A_2,T_b,T_a] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Oone__class_Oone(T_a))),V_A_2) = c_Groups_Oone__class_Oone(T_a) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_top__greatest,axiom,
% 203.72/204.19 ! [V_x,T_a] :
% 203.72/204.19 ( class_Orderings_Otop(T_a)
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_sup__top__left,axiom,
% 203.72/204.19 ! [V_x,T_a] :
% 203.72/204.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_sup__top__right,axiom,
% 203.72/204.19 ! [V_x,T_a] :
% 203.72/204.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_inf__eq__top__iff,axiom,
% 203.72/204.19 ! [V_y_2,V_x_2,T_a] :
% 203.72/204.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 203.72/204.19 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_a)
% 203.72/204.19 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_a)
% 203.72/204.19 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_inf__top__right,axiom,
% 203.72/204.19 ! [V_x,T_a] :
% 203.72/204.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_inf__top__left,axiom,
% 203.72/204.19 ! [V_x,T_a] :
% 203.72/204.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__PlusD_I2_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__PlusD_I1_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__Plus,axiom,
% 203.72/204.19 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.72/204.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_finite__Plus__iff,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 203.72/204.19 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__add__one,axiom,
% 203.72/204.19 ! [V_a,T_a] :
% 203.72/204.19 ( class_Rings_Olinordered__semidom(T_a)
% 203.72/204.19 => 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)))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__1__mult,axiom,
% 203.72/204.19 ! [V_n,V_m,T_a] :
% 203.72/204.19 ( class_Rings_Olinordered__semidom(T_a)
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 203.72/204.19 => 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))) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 203.72/204.19 ! [V_m,V_a,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 203.72/204.19 ! [V_a,V_m,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 203.72/204.19 ! [V_m,T_a] :
% 203.72/204.19 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.72/204.19 => 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) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__iff__Suc__add,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.19 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__add__Suc2,axiom,
% 203.72/204.19 ! [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)))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__add__Suc1,axiom,
% 203.72/204.19 ! [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)))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__eq__Suc__le,axiom,
% 203.72/204.19 ! [V_m_2,V_n_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__Suc__eq__le,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__le__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_le__imp__less__Suc,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__leI,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_le__less__Suc__eq,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.72/204.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 203.72/204.19 <=> V_n_2 = V_m_2 ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__le__lessD,axiom,
% 203.72/204.19 ! [V_n,V_m] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 203.72/204.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__less__Suc,axiom,
% 203.72/204.19 ! [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))) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__mult__less__cancel1,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.19 ( 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)))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_mult__Suc__right,axiom,
% 203.72/204.19 ! [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)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_mult__Suc,axiom,
% 203.72/204.19 ! [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)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__diff__le,axiom,
% 203.72/204.19 ! [V_m,V_n] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Suc__mult__le__cancel1,axiom,
% 203.72/204.19 ! [V_n_2,V_m_2,V_k_2] :
% 203.72/204.19 ( 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)))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod__empty,axiom,
% 203.72/204.19 ! [V_f_2,T_b,T_a] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod_Oempty,axiom,
% 203.72/204.19 ! [V_g_2,T_b,T_a] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod__infinite,axiom,
% 203.72/204.19 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.19 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod_Oinfinite,axiom,
% 203.72/204.19 ! [V_g_2,V_A_2,T_a,T_b] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.19 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_Diff__UNIV,axiom,
% 203.72/204.19 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 203.72/204.19 ! [V_A_2,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.72/204.19 => ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.72/204.19 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_less__eq__Suc__le__raw,axiom,
% 203.72/204.19 ! [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)) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_SUP__UN__eq,axiom,
% 203.72/204.19 ! [V_x_2,V_r_2,T_b,T_a] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 203.72/204.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I2_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I1_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__extend__simps_I3_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I3_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.72/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.72/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_card__eq__setsum,axiom,
% 203.72/204.19 ! [V_A_2,T_a] : hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__Suc__diff__eq1,axiom,
% 203.72/204.19 ! [V_m,V_j,V_k] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_diff__Suc__diff__eq2,axiom,
% 203.72/204.19 ! [V_m,V_j,V_k] :
% 203.72/204.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 203.72/204.19 => 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)) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod__delta,axiom,
% 203.72/204.19 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.72/204.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 203.72/204.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_setprod__delta_H,axiom,
% 203.72/204.19 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 203.72/204.19 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.72/204.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.72/204.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 203.72/204.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.72/204.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 203.72/204.19
% 203.72/204.19 fof(fact_INT__simps_I4_J,axiom,
% 203.72/204.19 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 203.72/204.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 203.96/204.19
% 203.96/204.19 fof(fact_card__insert__disjoint,axiom,
% 203.96/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 203.96/204.19
% 203.96/204.19 fof(fact_card__insert__if,axiom,
% 203.96/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) )
% 203.96/204.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ) ).
% 203.96/204.19
% 203.96/204.19 fof(fact_card__insert,axiom,
% 203.96/204.19 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.19 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 203.96/204.19
% 203.96/204.19 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 203.96/204.19 ! [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) ).
% 203.96/204.19
% 203.96/204.19 fof(fact_Suc__eq__plus1__left,axiom,
% 203.96/204.20 ! [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) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Suc__eq__plus1,axiom,
% 203.96/204.20 ! [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)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Plus__eq__empty__conv,axiom,
% 203.96/204.20 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.20 ( c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))
% 203.96/204.20 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.20 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__Un__one,axiom,
% 203.96/204.20 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.20 => ( ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 203.96/204.20 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 203.96/204.20 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.20 => ( ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.96/204.20 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_finite__Union,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2))
% 203.96/204.20 => ( ! [B_M] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_M),V_A_2))
% 203.96/204.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_M)) )
% 203.96/204.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_top1I,axiom,
% 203.96/204.20 ! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_UNIV__Plus__UNIV,axiom,
% 203.96/204.20 ! [T_b,T_a] : c_Sum__Type_OPlus(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__gen__delta,axiom,
% 203.96/204.20 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card__Plus__conv__if,axiom,
% 203.96/204.20 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.96/204.20 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 203.96/204.20 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) )
% 203.96/204.20 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 203.96/204.20 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_iso__tuple__UNIV__I,axiom,
% 203.96/204.20 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_insert__partition,axiom,
% 203.96/204.20 ! [V_F_2,V_x_2,T_a] :
% 203.96/204.20 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))
% 203.96/204.20 => ( ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)))
% 203.96/204.20 => ! [B_xa] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)))
% 203.96/204.20 => ( B_x != B_xa
% 203.96/204.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 203.96/204.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Powp__mono,axiom,
% 203.96/204.20 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_a,V_A_2)),c_Predicate_OPowp(T_a,V_B_2))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_fold__Un__disjoint,axiom,
% 203.96/204.20 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.20 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.20 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__mono__one__right,axiom,
% 203.96/204.20 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 203.96/204.20 => ( ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 203.96/204.20 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__mono__one__left,axiom,
% 203.96/204.20 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 203.96/204.20 => ( ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 203.96/204.20 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_less__zeroE,axiom,
% 203.96/204.20 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_le0,axiom,
% 203.96/204.20 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__Suc,axiom,
% 203.96/204.20 ! [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))) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_bot__nat__def,axiom,
% 203.96/204.20 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 203.96/204.20 ! [V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__reorient,axiom,
% 203.96/204.20 ! [V_x_2,T_a] :
% 203.96/204.20 ( class_Groups_Ozero(T_a)
% 203.96/204.20 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 203.96/204.20 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 203.96/204.20 ! [V_q,V_y,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 203.96/204.20 ! [V_q,V_p,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 203.96/204.20 ! [V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__0__iff,axiom,
% 203.96/204.20 ! [V_a_2,V_b_2,T_a] :
% 203.96/204.20 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 203.96/204.20 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)
% 203.96/204.20 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add_Ocomm__neutral,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__0__right,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Groups_Omonoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_double__zero__sym,axiom,
% 203.96/204.20 ! [V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.20 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)
% 203.96/204.20 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__0,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__0__left,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Groups_Omonoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__zero__left,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Omult__zero(T_a)
% 203.96/204.20 => 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) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__zero__right,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Omult__zero(T_a)
% 203.96/204.20 => 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) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__eq__0__iff,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Rings_Oring__no__zero__divisors(T_a)
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_no__zero__divisors,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Ono__zero__divisors(T_a)
% 203.96/204.20 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_divisors__zero,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Ono__zero__divisors(T_a)
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__0__right,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__self,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_eq__iff__diff__eq__0,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.20 => ( V_a_2 = V_b_2
% 203.96/204.20 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_right__minus__eq,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 <=> V_a_2 = V_b_2 ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__neq__one,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Ozero__neq__one(T_a)
% 203.96/204.20 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_one__neq__zero,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Ozero__neq__one(T_a)
% 203.96/204.20 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_fold__image__empty,axiom,
% 203.96/204.20 ! [V_z_2,V_g_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Suc__neq__Zero,axiom,
% 203.96/204.20 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Zero__neq__Suc,axiom,
% 203.96/204.20 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat_Osimps_I3_J,axiom,
% 203.96/204.20 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Suc__not__Zero,axiom,
% 203.96/204.20 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat_Osimps_I2_J,axiom,
% 203.96/204.20 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Zero__not__Suc,axiom,
% 203.96/204.20 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_not__less0,axiom,
% 203.96/204.20 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_neq0__conv,axiom,
% 203.96/204.20 ! [V_n_2] :
% 203.96/204.20 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_less__nat__zero__code,axiom,
% 203.96/204.20 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_gr__implies__not0,axiom,
% 203.96/204.20 ! [V_n,V_m] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.20 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_gr0I,axiom,
% 203.96/204.20 ! [V_n] :
% 203.96/204.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__eq__self__zero,axiom,
% 203.96/204.20 ! [V_n,V_m] :
% 203.96/204.20 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 203.96/204.20 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__is__0,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Nat_Oadd__0__right,axiom,
% 203.96/204.20 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 203.96/204.20
% 203.96/204.20 fof(fact_plus__nat_Oadd__0,axiom,
% 203.96/204.20 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 203.96/204.20
% 203.96/204.20 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 203.96/204.20 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_le__0__eq,axiom,
% 203.96/204.20 ! [V_n_2] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 203.96/204.20 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__0__eq__0,axiom,
% 203.96/204.20 ! [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) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_minus__nat_Odiff__0,axiom,
% 203.96/204.20 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__self__eq__0,axiom,
% 203.96/204.20 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diffs0__imp__equal,axiom,
% 203.96/204.20 ! [V_n,V_m] :
% 203.96/204.20 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 => V_m = V_n ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( 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)
% 203.96/204.20 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 | V_m_2 = V_n_2 ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__cancel2,axiom,
% 203.96/204.20 ! [V_n_2,V_k_2,V_m_2] :
% 203.96/204.20 ( 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)
% 203.96/204.20 <=> ( V_m_2 = V_n_2
% 203.96/204.20 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__cancel1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( 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)
% 203.96/204.20 <=> ( V_m_2 = V_n_2
% 203.96/204.20 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__is__0,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__0__right,axiom,
% 203.96/204.20 ! [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) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__0,axiom,
% 203.96/204.20 ! [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) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_power__eq__if,axiom,
% 203.96/204.20 ! [V_p,V_m] :
% 203.96/204.20 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 203.96/204.20 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 => 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)))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum_OF__eq,axiom,
% 203.96/204.20 ! [V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.20 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum_Oeq__fold,axiom,
% 203.96/204.20 ! [V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__0,axiom,
% 203.96/204.20 ! [V_A_2,T_b,T_a] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_A_2) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_fold__image__def,axiom,
% 203.96/204.20 ! [V_g_2,V_f_2,T_b,T_a] : hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_b,T_a,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 203.96/204.20 ! [V_q,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 203.96/204.20 ! [V_q,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 203.96/204.20 ! [V_q,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 203.96/204.20 ! [V_q,V_p,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__nonpos__nonpos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__increasing2,axiom,
% 203.96/204.20 ! [V_a,V_b,V_c,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__increasing,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__nonneg__eq__0__iff,axiom,
% 203.96/204.20 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x_2))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y_2))
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__nonneg__nonneg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 203.96/204.20 ! [V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 203.96/204.20 ! [V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__le__square,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring(T_a)
% 203.96/204.20 => 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))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__le__mult__iff,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)))
% 203.96/204.20 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 203.96/204.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__le__0__iff,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 203.96/204.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__nonneg__nonneg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__cancel__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__nonneg__nonpos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__cancel__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__nonneg__nonpos2,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__cancel__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__nonpos__nonneg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__cancel__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__nonpos__nonpos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__ring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__right__mono,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__left__mono,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__mult__left__mono,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__comm__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__right__mono__neg,axiom,
% 203.96/204.20 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__ring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__left__mono__neg,axiom,
% 203.96/204.20 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__ring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__mono_H,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__mono,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__semiring(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_split__mult__pos__le,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__ring(T_a)
% 203.96/204.20 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 203.96/204.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_split__mult__neg__le,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Oordered__cancel__semiring(T_a)
% 203.96/204.20 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 203.96/204.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__neg__neg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__pos__pos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 203.96/204.20 ! [V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 203.96/204.20 ! [V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_pos__add__strict,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_not__square__less__zero,axiom,
% 203.96/204.20 ! [V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring(T_a)
% 203.96/204.20 => ~ 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))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__cancel__right__disj,axiom,
% 203.96/204.20 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)))
% 203.96/204.20 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 203.96/204.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__cancel__left__disj,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 203.96/204.20 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 203.96/204.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__cancel__left__pos,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__pos__pos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__pos__neg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__pos__neg2,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__mult__pos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__mult__pos2,axiom,
% 203.96/204.20 ! [V_a,V_b,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__cancel__left__neg,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__neg__pos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__neg__neg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__strict__right__mono,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__strict__left__mono,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__mult__strict__left__mono,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__strict__right__mono__neg,axiom,
% 203.96/204.20 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__strict__left__mono__neg,axiom,
% 203.96/204.20 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_le__iff__diff__le__0,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_less__iff__diff__less__0,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__scale__eq__noteq,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 203.96/204.20 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 203.96/204.20 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 => ( ( V_a = V_b
% 203.96/204.20 & V_c != V_d )
% 203.96/204.20 => 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)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_sum__squares__eq__zero__iff,axiom,
% 203.96/204.20 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_not__one__le__zero,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.20 => ~ 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))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__le__one,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.20 => 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))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_not__one__less__zero,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.20 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__one,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__empty,axiom,
% 203.96/204.20 ! [V_f_2,T_b,T_a] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum_Oempty,axiom,
% 203.96/204.20 ! [V_g_2,T_b,T_a] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__infinite,axiom,
% 203.96/204.20 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.20 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum_Oinfinite,axiom,
% 203.96/204.20 ! [V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.20 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__zero__iff,axiom,
% 203.96/204.20 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( ( class_Rings_Ocomm__semiring__1(T_b)
% 203.96/204.20 & class_Rings_Ono__zero__divisors(T_b) )
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b)
% 203.96/204.20 <=> ? [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.20 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__zero,axiom,
% 203.96/204.20 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Rings_Ocomm__semiring__1(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( ? [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.20 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_gr0__conv__Suc,axiom,
% 203.96/204.20 ! [V_n_2] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 203.96/204.20 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_less__Suc0,axiom,
% 203.96/204.20 ! [V_n_2] :
% 203.96/204.20 ( 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))))
% 203.96/204.20 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_less__Suc__eq__0__disj,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 203.96/204.20 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 | ? [B_j] :
% 203.96/204.20 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__is__1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( 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))
% 203.96/204.20 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 203.96/204.20 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.20 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_one__is__add,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( 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)
% 203.96/204.20 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 203.96/204.20 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.20 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__gr__0,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 203.96/204.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card_Oempty,axiom,
% 203.96/204.20 ! [T_a] : hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card__infinite,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__eq__1__iff,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( 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))
% 203.96/204.20 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 203.96/204.20 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__diff,axiom,
% 203.96/204.20 ! [V_m_2,V_n_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__less,axiom,
% 203.96/204.20 ! [V_m,V_n] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 203.96/204.20 => 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)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__mult__less__cancel1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 => ( 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)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__mult__eq__cancel1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 => ( 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)
% 203.96/204.20 <=> V_m_2 = V_n_2 ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__mono2,axiom,
% 203.96/204.20 ! [V_k,V_j,V_i] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__mono1,axiom,
% 203.96/204.20 ! [V_k,V_j,V_i] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__cancel2,axiom,
% 203.96/204.20 ! [V_n_2,V_k_2,V_m_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__cancel1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__0__less__mult__iff,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 203.96/204.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card__def,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card_Oeq__fold__g,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__add__0,axiom,
% 203.96/204.20 ! [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) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__is__0__eq,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__is__0__eq_H,axiom,
% 203.96/204.20 ! [V_n,V_m] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.96/204.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_One__nat__def,axiom,
% 203.96/204.20 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__eq__self__implies__10,axiom,
% 203.96/204.20 ! [V_n,V_m] :
% 203.96/204.20 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 203.96/204.20 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.96/204.20 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__eq__0__iff,axiom,
% 203.96/204.20 ! [V_f_2,V_F_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.96/204.20 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 <=> ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2))
% 203.96/204.20 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 203.96/204.20 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 203.96/204.20 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.96/204.20 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__pos__nonneg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__nonneg__pos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__strict__increasing,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__strict__increasing2,axiom,
% 203.96/204.20 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__neg__nonpos,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_add__nonpos__neg,axiom,
% 203.96/204.20 ! [V_b,V_a,T_a] :
% 203.96/204.20 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__le__cancel__left__pos,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__le__cancel__left__neg,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__strict__mono,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__strict__mono_H,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__le__imp__less,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__le__less__imp__less,axiom,
% 203.96/204.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => 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))) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__right__less__imp__less,axiom,
% 203.96/204.20 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__imp__less__right,axiom,
% 203.96/204.20 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__left__less__imp__less,axiom,
% 203.96/204.20 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__less__imp__less__left,axiom,
% 203.96/204.20 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__right__le__imp__le,axiom,
% 203.96/204.20 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__left__le__imp__le,axiom,
% 203.96/204.20 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__strict(T_a)
% 203.96/204.20 => ( 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)))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_sum__squares__ge__zero,axiom,
% 203.96/204.20 ! [V_y,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring(T_a)
% 203.96/204.20 => 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)))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_sum__squares__le__zero__iff,axiom,
% 203.96/204.20 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.20 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_not__sum__squares__lt__zero,axiom,
% 203.96/204.20 ! [V_y,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring(T_a)
% 203.96/204.20 => ~ 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))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_sum__squares__gt__zero__iff,axiom,
% 203.96/204.20 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__ring__strict(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))))
% 203.96/204.20 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.20 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__right__le__one__le,axiom,
% 203.96/204.20 ! [V_y,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.20 => 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)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__left__le__one__le,axiom,
% 203.96/204.20 ! [V_y,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.20 => 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)) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_zero__less__two,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.20 => 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)))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card__eq__0__iff,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.20 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.20 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__constant,axiom,
% 203.96/204.20 ! [V_y_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_COMBK(T_b,T_a),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card__ge__0__finite,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)))
% 203.96/204.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_diff__Suc__less,axiom,
% 203.96/204.20 ! [V_i,V_n] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.20 => 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)) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Suc__pred,axiom,
% 203.96/204.20 ! [V_n] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.20 => 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 ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_one__less__mult,axiom,
% 203.96/204.20 ! [V_m,V_n] :
% 203.96/204.20 ( 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))
% 203.96/204.20 => ( 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))
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_n__less__n__mult__m,axiom,
% 203.96/204.20 ! [V_m,V_n] :
% 203.96/204.20 ( 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))
% 203.96/204.20 => ( 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))
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_n__less__m__mult__n,axiom,
% 203.96/204.20 ! [V_m,V_n] :
% 203.96/204.20 ( 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))
% 203.96/204.20 => ( 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))
% 203.96/204.20 => 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))) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__diff__split__asm,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_Pa_2] :
% 203.96/204.20 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 203.96/204.20 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 203.96/204.20 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 203.96/204.20 | ? [B_d] :
% 203.96/204.20 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 203.96/204.20 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__diff__split,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_Pa_2] :
% 203.96/204.20 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 203.96/204.20 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 203.96/204.20 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 203.96/204.20 & ! [B_d] :
% 203.96/204.20 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 203.96/204.20 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_one__le__mult__iff,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( 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))
% 203.96/204.20 & 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)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_nat__mult__le__cancel1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 => ( 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)))
% 203.96/204.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__le__cancel2,axiom,
% 203.96/204.20 ! [V_n_2,V_k_2,V_m_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_mult__le__cancel1,axiom,
% 203.96/204.20 ! [V_n_2,V_m_2,V_k_2] :
% 203.96/204.20 ( 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)))
% 203.96/204.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_comm__monoid__big_OF__eq,axiom,
% 203.96/204.20 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 203.96/204.20 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 203.96/204.20 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.96/204.20 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.96/204.20 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__eq__Suc0__iff,axiom,
% 203.96/204.20 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 203.96/204.20 <=> ? [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.20 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 203.96/204.20 & ! [B_xa] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 203.96/204.20 => ( B_x != B_xa
% 203.96/204.20 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__eq__1__iff,axiom,
% 203.96/204.20 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.96/204.20 <=> ? [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.20 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 203.96/204.20 & ! [B_xa] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 203.96/204.20 => ( B_x != B_xa
% 203.96/204.20 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__delta,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setsum__delta_H,axiom,
% 203.96/204.20 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_fold__image__distrib,axiom,
% 203.96/204.20 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_b)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod__pos__nat__iff,axiom,
% 203.96/204.20 ! [V_f_2,V_S_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_S_2)))
% 203.96/204.20 <=> ! [B_x] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 203.96/204.20 => 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))) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_convex__bound__le,axiom,
% 203.96/204.20 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 203.96/204.20 ( class_Rings_Olinordered__semiring__1(T_a)
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 203.96/204.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 203.96/204.20 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.20 => 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)) ) ) ) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_fold__image__insert,axiom,
% 203.96/204.20 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Oab__semigroup__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.20 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_card__gt__0__iff,axiom,
% 203.96/204.20 ! [V_A_2,T_a] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)))
% 203.96/204.20 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod_Oeq__fold,axiom,
% 203.96/204.20 ! [V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_setprod_OF__eq,axiom,
% 203.96/204.20 ! [V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.20 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) )
% 203.96/204.20 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_finite__UNIV__card__ge__0,axiom,
% 203.96/204.20 ! [T_a] :
% 203.96/204.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 203.96/204.20
% 203.96/204.20 fof(fact_Suc__diff__1,axiom,
% 203.96/204.20 ! [V_n] :
% 203.96/204.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.21 => 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 ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Suc__pred_H,axiom,
% 203.96/204.21 ! [V_n] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.21 => 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add__eq__if,axiom,
% 203.96/204.21 ! [V_n,V_m] :
% 203.96/204.21 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 203.96/204.21 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => 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)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__eq__if,axiom,
% 203.96/204.21 ! [V_n,V_m] :
% 203.96/204.21 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.21 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => 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)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__restrict__set,axiom,
% 203.96/204.21 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_convex__bound__lt,axiom,
% 203.96/204.21 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 203.96/204.21 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.21 => 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)) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_fold__image__Un__Int,axiom,
% 203.96/204.21 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.21 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_finite__fun__UNIVD1,axiom,
% 203.96/204.21 ! [T_b,T_a] :
% 203.96/204.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 203.96/204.21 => ( hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 203.96/204.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__strict__mono,axiom,
% 203.96/204.21 ! [V_n,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_one__less__power,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__increasing__iff,axiom,
% 203.96/204.21 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__le__imp__le__exp,axiom,
% 203.96/204.21 ! [V_n,V_m,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__decreasing,axiom,
% 203.96/204.21 ! [V_a,V_N,V_n,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__strict__decreasing,axiom,
% 203.96/204.21 ! [V_a,V_N,V_n,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__Suc__less__one,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_field__power__not__zero,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 203.96/204.21 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__Suc__0,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 203.96/204.21 ! [V_m_2,V_x_2] :
% 203.96/204.21 ( 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))
% 203.96/204.21 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nat__zero__less__power__iff,axiom,
% 203.96/204.21 ! [V_n_2,V_x_2] :
% 203.96/204.21 ( 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)))
% 203.96/204.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 203.96/204.21 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nat__power__less__imp__less,axiom,
% 203.96/204.21 ! [V_n,V_m,V_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__mult__distrib,axiom,
% 203.96/204.21 ! [V_n,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__commutes,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__one,axiom,
% 203.96/204.21 ! [V_n,T_a] :
% 203.96/204.21 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__mult,axiom,
% 203.96/204.21 ! [V_n,V_m,V_a,T_a] :
% 203.96/204.21 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__one__right,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__mono,axiom,
% 203.96/204.21 ! [V_n,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zero__le__power,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zero__less__power,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__eq__0__iff,axiom,
% 203.96/204.21 ! [V_n_2,V_a_2,T_a] :
% 203.96/204.21 ( ( class_Power_Opower(T_a)
% 203.96/204.21 & class_Rings_Omult__zero(T_a)
% 203.96/204.21 & class_Rings_Ono__zero__divisors(T_a)
% 203.96/204.21 & class_Rings_Ozero__neq__one(T_a) )
% 203.96/204.21 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_one__le__power,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__0__Suc,axiom,
% 203.96/204.21 ! [V_n,T_a] :
% 203.96/204.21 ( ( class_Power_Opower(T_a)
% 203.96/204.21 & class_Rings_Osemiring__0(T_a) )
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__inject__exp,axiom,
% 203.96/204.21 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2))
% 203.96/204.21 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)
% 203.96/204.21 <=> V_m_2 = V_n_2 ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__Suc2,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__Suc,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Power_Opower(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nat__one__le__power,axiom,
% 203.96/204.21 ! [V_n,V_i] :
% 203.96/204.21 ( 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))
% 203.96/204.21 => 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__0,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Power_Opower(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__add,axiom,
% 203.96/204.21 ! [V_n,V_m,V_a,T_a] :
% 203.96/204.21 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__less__imp__less__base,axiom,
% 203.96/204.21 ! [V_b,V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__inject__base,axiom,
% 203.96/204.21 ! [V_b,V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( 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))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.21 => V_a = V_b ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__le__imp__le__base,axiom,
% 203.96/204.21 ! [V_b,V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( 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))))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__less__power__Suc,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => 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)))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__gt1__lemma,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => 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)))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__0__left,axiom,
% 203.96/204.21 ! [V_n,T_a] :
% 203.96/204.21 ( ( class_Power_Opower(T_a)
% 203.96/204.21 & class_Rings_Osemiring__0(T_a) )
% 203.96/204.21 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => 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) )
% 203.96/204.21 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => 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) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__gt1,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => 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)))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__strict__increasing,axiom,
% 203.96/204.21 ! [V_a,V_N,V_n,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__less__imp__less__exp,axiom,
% 203.96/204.21 ! [V_n,V_m,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__strict__increasing__iff,axiom,
% 203.96/204.21 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__increasing,axiom,
% 203.96/204.21 ! [V_a,V_N,V_n,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__Suc__less,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__eq__imp__eq__base,axiom,
% 203.96/204.21 ! [V_b,V_n,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.21 => ( 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)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.21 => V_a = V_b ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_triple_Osize_I1_J,axiom,
% 203.96/204.21 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_a] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_a,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_even__less__0__iff,axiom,
% 203.96/204.21 ! [V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_triple_Osize_I2_J,axiom,
% 203.96/204.21 ! [V_fun2_2,V_com_2,V_fun1_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_card_Ounion__inter__neutral,axiom,
% 203.96/204.21 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.21 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.96/204.21 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.21 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__mono2,axiom,
% 203.96/204.21 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.21 => ( ! [B_b] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_b))) )
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__power__power,axiom,
% 203.96/204.21 ! [T_a] :
% 203.96/204.21 ( class_Power_Opower(T_a)
% 203.96/204.21 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_fold__image__Un__one,axiom,
% 203.96/204.21 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.21 => ( ! [B_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 203.96/204.21 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 203.96/204.21 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_T_2)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power_Opower_Opower__0,axiom,
% 203.96/204.21 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power_Opower_Opower__Suc,axiom,
% 203.96/204.21 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zpower__zadd__distrib,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zpower__zpower,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_double__eq__0__iff,axiom,
% 203.96/204.21 ! [V_a_2,T_a] :
% 203.96/204.21 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.21 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 203.96/204.21 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.21 => ( ! [B_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.96/204.21 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__Un__zero,axiom,
% 203.96/204.21 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.21 => ( ! [B_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 203.96/204.21 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_card__Suc__eq,axiom,
% 203.96/204.21 ! [V_k_2,V_A_2,T_a] :
% 203.96/204.21 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 203.96/204.21 <=> ? [B_b,B_B] :
% 203.96/204.21 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_b),B_B)
% 203.96/204.21 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_b),B_B))
% 203.96/204.21 & hAPP(c_Finite__Set_Ocard(T_a),B_B) = V_k_2
% 203.96/204.21 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.21 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__mono3,axiom,
% 203.96/204.21 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 203.96/204.21 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.21 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.21 => ( ! [B_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__odd__less__0,axiom,
% 203.96/204.21 ! [V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_com_Osize_I4_J,axiom,
% 203.96/204.21 ! [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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_com_Osize_I6_J,axiom,
% 203.96/204.21 ! [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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__zmult__eq__1__iff,axiom,
% 203.96/204.21 ! [V_n_2,V_m_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 203.96/204.21 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 203.96/204.21 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 203.96/204.21 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zmult__zless__mono2,axiom,
% 203.96/204.21 ! [V_k,V_j,V_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zmult__1,axiom,
% 203.96/204.21 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zmult__1__right,axiom,
% 203.96/204.21 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiff__zmult__distrib,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiff__zmult__distrib2,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zmult__commute,axiom,
% 203.96/204.21 ! [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) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zmult__assoc,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__zmult__distrib2,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__zmult__distrib,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__0,axiom,
% 203.96/204.21 ! [T_a] :
% 203.96/204.21 ( class_Rings_Oring__1(T_a)
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__add,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Oring__1(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__mult,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Oring__1(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__diff,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Oring__1(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__1,axiom,
% 203.96/204.21 ! [T_a] :
% 203.96/204.21 ( class_Rings_Oring__1(T_a)
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__power,axiom,
% 203.96/204.21 ! [V_n_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Rings_Oring__1(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_com_Osize_I1_J,axiom,
% 203.96/204.21 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__double__eq__0__iff,axiom,
% 203.96/204.21 ! [V_a_2,T_a] :
% 203.96/204.21 ( class_Int_Oring__char__0(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Ints__odd__nonzero,axiom,
% 203.96/204.21 ! [V_a_2,T_a] :
% 203.96/204.21 ( class_Int_Oring__char__0(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_com_Osize_I12_J,axiom,
% 203.96/204.21 ! [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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setprod__diff1,axiom,
% 203.96/204.21 ! [V_a_2,V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.21 ( class_Fields_Ofield(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_b)
% 203.96/204.21 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_com_Osize_I14_J,axiom,
% 203.96/204.21 ! [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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__nonneg__leq__bound,axiom,
% 203.96/204.21 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Oordered__ab__group__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 203.96/204.21 => ( ! [B_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 203.96/204.21 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = V_B_2
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__nonneg__0,axiom,
% 203.96/204.21 ! [V_i_2,V_f_2,V_s_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Oordered__ab__group__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 203.96/204.21 => ( ! [B_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 203.96/204.21 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 203.96/204.21 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_ex__least__nat__less,axiom,
% 203.96/204.21 ! [V_n_2,V_Pa_2] :
% 203.96/204.21 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 203.96/204.21 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 203.96/204.21 => ? [B_k] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 203.96/204.21 & ! [B_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 203.96/204.21 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 203.96/204.21 & 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)))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__mono__zero__right,axiom,
% 203.96/204.21 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 203.96/204.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 203.96/204.21 => ( ! [B_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 203.96/204.21 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zless__le,axiom,
% 203.96/204.21 ! [V_w_2,V_z_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 203.96/204.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 203.96/204.21 & V_z_2 != V_w_2 ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__left__mono,axiom,
% 203.96/204.21 ! [V_k,V_j,V_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 203.96/204.21 => 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__zless__mono,axiom,
% 203.96/204.21 ! [V_z,V_z_H,V_w,V_w_H] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__strict__right__mono,axiom,
% 203.96/204.21 ! [V_k,V_j,V_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 203.96/204.21 => 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zless__linear,axiom,
% 203.96/204.21 ! [V_y,V_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 203.96/204.21 | V_x = V_y
% 203.96/204.21 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__assoc,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__left__commute,axiom,
% 203.96/204.21 ! [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)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__commute,axiom,
% 203.96/204.21 ! [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) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zle__add1__eq__le,axiom,
% 203.96/204.21 ! [V_z_2,V_w_2] :
% 203.96/204.21 ( 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))))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add1__zle__eq,axiom,
% 203.96/204.21 ! [V_z_2,V_w_2] :
% 203.96/204.21 ( 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))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zless__imp__add1__zle,axiom,
% 203.96/204.21 ! [V_z,V_w] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zless__add1__eq,axiom,
% 203.96/204.21 ! [V_z_2,V_w_2] :
% 203.96/204.21 ( 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))))
% 203.96/204.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 203.96/204.21 | V_w_2 = V_z_2 ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zle__diff1__eq,axiom,
% 203.96/204.21 ! [V_z_2,V_w_2] :
% 203.96/204.21 ( 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))))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_less__bin__lemma,axiom,
% 203.96/204.21 ! [V_l_2,V_k_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 203.96/204.21 <=> 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__0__right,axiom,
% 203.96/204.21 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zadd__0,axiom,
% 203.96/204.21 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 203.96/204.21
% 203.96/204.21 fof(fact_le__imp__0__less,axiom,
% 203.96/204.21 ! [V_z] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.21 => 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_odd__less__0,axiom,
% 203.96/204.21 ! [V_z_2] :
% 203.96/204.21 ( 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)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_int__one__le__iff__zero__less,axiom,
% 203.96/204.21 ! [V_z_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_int__0__less__1,axiom,
% 203.96/204.21 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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_int__0__neq__1,axiom,
% 203.96/204.21 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_odd__nonzero,axiom,
% 203.96/204.21 ! [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) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__zero,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__zero__left,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add__divide__distrib,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_times__divide__eq__right,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_diff__divide__distrib,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__1,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__divide,axiom,
% 203.96/204.21 ! [V_n,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setsum__divide__distrib,axiom,
% 203.96/204.21 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Rings_Oinverse__class_Odivide(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_eq__divide__imp,axiom,
% 203.96/204.21 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 203.96/204.21 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__eq__imp,axiom,
% 203.96/204.21 ! [V_a,V_b,V_c,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 203.96/204.21 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nonzero__divide__eq__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2
% 203.96/204.21 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nonzero__eq__divide__eq,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 203.96/204.21 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_right__inverse__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.21 <=> V_a_2 = V_b_2 ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__self,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.21 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__self__if,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 203.96/204.21 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 203.96/204.21 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_nonzero__power__divide,axiom,
% 203.96/204.21 ! [V_n,V_a,V_b,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__one__over,axiom,
% 203.96/204.21 ! [V_n,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setprod__dividef,axiom,
% 203.96/204.21 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_com_Osize_I9_J,axiom,
% 203.96/204.21 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_power__diff,axiom,
% 203.96/204.21 ! [V_m,V_n,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.96/204.21 => 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)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_self__quotient__aux2,axiom,
% 203.96/204.21 ! [V_q,V_r,V_a] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.21 => ( 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))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_self__quotient__aux1,axiom,
% 203.96/204.21 ! [V_q,V_r,V_a] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.21 => ( 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))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_le__divide__eq,axiom,
% 203.96/204.21 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__le__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__le__divide__eq,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__divide__le__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__imp__div__pos__le,axiom,
% 203.96/204.21 ! [V_z,V_x,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => 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)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zle__refl,axiom,
% 203.96/204.21 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zle__linear,axiom,
% 203.96/204.21 ! [V_w,V_z] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 203.96/204.21 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zle__trans,axiom,
% 203.96/204.21 ! [V_k,V_j,V_i] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zle__antisym,axiom,
% 203.96/204.21 ! [V_w,V_z] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 203.96/204.21 => V_z = V_w ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_times__divide__times__eq,axiom,
% 203.96/204.21 ! [V_w,V_z,V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => 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)) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__right__mono__neg,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__right__mono,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__le__0__iff,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 203.96/204.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zero__le__divide__iff,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 203.96/204.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zero__less__divide__iff,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 203.96/204.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__less__0__iff,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 203.96/204.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__pos__pos,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__pos__neg,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__neg__pos,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__neg__neg,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__strict__right__mono,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__strict__right__mono__neg,axiom,
% 203.96/204.21 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_frac__eq__eq,axiom,
% 203.96/204.21 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)
% 203.96/204.21 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__divide__mult__cancel__left,axiom,
% 203.96/204.21 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__divide__mult__cancel__right,axiom,
% 203.96/204.21 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__eq__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2
% 203.96/204.21 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) )
% 203.96/204.21 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_eq__divide__eq,axiom,
% 203.96/204.21 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 203.96/204.21 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 )
% 203.96/204.21 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__nonneg__pos,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__nonneg__neg,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_frac__less2,axiom,
% 203.96/204.21 ! [V_z,V_w,V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 203.96/204.21 => 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))) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_frac__less,axiom,
% 203.96/204.21 ! [V_z,V_w,V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 203.96/204.21 => 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))) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_frac__le,axiom,
% 203.96/204.21 ! [V_z,V_w,V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 203.96/204.21 => 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))) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__nonpos__pos,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__nonpos__neg,axiom,
% 203.96/204.21 ! [V_y,V_x,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_less__divide__eq,axiom,
% 203.96/204.21 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__less__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 203.96/204.21 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 203.96/204.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__less__divide__eq,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__divide__less__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__imp__div__pos__less,axiom,
% 203.96/204.21 ! [V_z,V_x,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => 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)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__imp__less__div__pos,axiom,
% 203.96/204.21 ! [V_x,V_z,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => ( 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))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_neg__less__divide__eq,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_neg__divide__less__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__strict__left__mono,axiom,
% 203.96/204.21 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__strict__left__mono__neg,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add__frac__eq,axiom,
% 203.96/204.21 ! [V_w,V_x,V_z,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__add__eq__iff,axiom,
% 203.96/204.21 ! [V_y,V_x,V_z,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add__frac__num,axiom,
% 203.96/204.21 ! [V_z,V_x,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add__divide__eq__iff,axiom,
% 203.96/204.21 ! [V_y,V_x,V_z,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_add__num__frac,axiom,
% 203.96/204.21 ! [V_x,V_z,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.21 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_diff__divide__eq__iff,axiom,
% 203.96/204.21 ! [V_y,V_x,V_z,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__diff__eq__iff,axiom,
% 203.96/204.21 ! [V_y,V_x,V_z,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_diff__frac__eq,axiom,
% 203.96/204.21 ! [V_w,V_x,V_z,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Ofield(T_a)
% 203.96/204.21 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_less__half__sum,axiom,
% 203.96/204.21 ! [V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.21 => 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))))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_gt__half__sum,axiom,
% 203.96/204.21 ! [V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 203.96/204.21 => 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)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_q__pos__lemma,axiom,
% 203.96/204.21 ! [V_r_H,V_q_H,V_b_H] :
% 203.96/204.21 ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_q__neg__lemma,axiom,
% 203.96/204.21 ! [V_r_H,V_q_H,V_b_H] :
% 203.96/204.21 ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_unique__quotient__lemma,axiom,
% 203.96/204.21 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 203.96/204.21 ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiv__mono2__lemma,axiom,
% 203.96/204.21 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 203.96/204.21 ( 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)
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_unique__quotient__lemma__neg,axiom,
% 203.96/204.21 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 203.96/204.21 ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 203.96/204.21 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 203.96/204.21 ( 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)
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 203.96/204.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__left__mono__neg,axiom,
% 203.96/204.21 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_divide__left__mono,axiom,
% 203.96/204.21 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 => 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))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_neg__divide__le__eq,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_neg__le__divide__eq,axiom,
% 203.96/204.21 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_mult__imp__le__div__pos,axiom,
% 203.96/204.21 ! [V_x,V_z,V_y,T_a] :
% 203.96/204.21 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.21 => ( 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))
% 203.96/204.21 => 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))) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 203.96/204.21 ! [V_n,V_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.21 => 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))) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 203.96/204.21 ! [V_y,V_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 203.96/204.21 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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 203.96/204.21 ! [V_y,V_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_setprod__Un,axiom,
% 203.96/204.21 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 203.96/204.21 ( class_Fields_Ofield(T_b)
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.21 => ( ! [B_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 203.96/204.21 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_b) )
% 203.96/204.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 203.96/204.21 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))) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_int__power__div__base,axiom,
% 203.96/204.21 ! [V_k,V_m] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 203.96/204.21 => 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)))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiv__zero,axiom,
% 203.96/204.21 ! [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) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__by__0,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__0,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => 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) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__by__1,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 203.96/204.21 ! [V_y,V_x] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__neg__pos__less0,axiom,
% 203.96/204.21 ! [V_b,V_a] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.21 => 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))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiv__self,axiom,
% 203.96/204.21 ! [V_a] :
% 203.96/204.21 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.21 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__mult__mult1__if,axiom,
% 203.96/204.21 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) )
% 203.96/204.21 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__mult__self2__is__id,axiom,
% 203.96/204.21 ! [V_a,V_b,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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 ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__mult__self1__is__id,axiom,
% 203.96/204.21 ! [V_a,V_b,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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 ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__mult__mult2,axiom,
% 203.96/204.21 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__mult__mult1,axiom,
% 203.96/204.21 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => 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) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_div__self,axiom,
% 203.96/204.21 ! [V_a,T_a] :
% 203.96/204.21 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.21 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.21 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_zdiv__eq__0__iff,axiom,
% 203.96/204.21 ! [V_k_2,V_i_2] :
% 203.96/204.21 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.21 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 203.96/204.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 203.96/204.21 ! [V_a_2,V_b_2] :
% 203.96/204.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 203.96/204.21 => ( 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)))
% 203.96/204.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 203.96/204.21
% 203.96/204.21 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 203.96/204.21 ! [V_i_2,V_k_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 203.96/204.22 ! [V_b_2,V_a_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__mono2,axiom,
% 203.96/204.22 ! [V_b,V_b_H,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 203.96/204.22 => 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))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__nonneg__neg__le0,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__pos__pos__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 203.96/204.22 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 203.96/204.22 ! [V_a_2,V_b_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__nonpos__pos__le0,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__mono2__neg,axiom,
% 203.96/204.22 ! [V_b,V_b_H,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 203.96/204.22 => 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))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__neg__neg__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 203.96/204.22 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__mono1,axiom,
% 203.96/204.22 ! [V_b,V_a_H,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__mono1__neg,axiom,
% 203.96/204.22 ! [V_b,V_a_H,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__div__less__self,axiom,
% 203.96/204.22 ! [V_k,V_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__zmult2__eq,axiom,
% 203.96/204.22 ! [V_b,V_a,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mult__self2,axiom,
% 203.96/204.22 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mult__self1,axiom,
% 203.96/204.22 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__add__self1,axiom,
% 203.96/204.22 ! [V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__add__self2,axiom,
% 203.96/204.22 ! [V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__zdiv,axiom,
% 203.96/204.22 ! [V_k_2,V_n_2,V_Pa_2] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 203.96/204.22 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.22 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 203.96/204.22 => ! [B_i] :
% 203.96/204.22 ( ? [B_j] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 203.96/204.22 & 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) )
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 203.96/204.22 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ! [B_i] :
% 203.96/204.22 ( ? [B_j] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 & 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) )
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_divmod__int__rel__div__eq,axiom,
% 203.96/204.22 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 203.96/204.22 ( 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)
% 203.96/204.22 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 203.96/204.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 203.96/204.22 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.22 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_tsub__def,axiom,
% 203.96/204.22 ! [V_x,V_y] :
% 203.96/204.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 203.96/204.22 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 203.96/204.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 203.96/204.22 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_setsum__mono__zero__left,axiom,
% 203.96/204.22 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 203.96/204.22 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 203.96/204.22 => ( ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 203.96/204.22 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 203.96/204.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_card__Pow,axiom,
% 203.96/204.22 ! [V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.22 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_field__le__mult__one__interval,axiom,
% 203.96/204.22 ! [V_y,V_x,T_a] :
% 203.96/204.22 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.22 => ( ! [B_z] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.22 => 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)) ) )
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__pos__lemma,axiom,
% 203.96/204.22 ! [V_n_2,V_Pa_2,V_k_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 <=> ! [B_i,B_j] :
% 203.96/204.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 203.96/204.22 & 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) )
% 203.96/204.22 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__neg__lemma,axiom,
% 203.96/204.22 ! [V_n_2,V_Pa_2,V_k_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 <=> ! [B_i,B_j] :
% 203.96/204.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 & 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) )
% 203.96/204.22 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_PowI,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mod__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__0,axiom,
% 203.96/204.22 ! [V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__by__0,axiom,
% 203.96/204.22 ! [V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__self,axiom,
% 203.96/204.22 ! [V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__add__self2,axiom,
% 203.96/204.22 ! [V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__add__self1,axiom,
% 203.96/204.22 ! [V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__add__right__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__add__left__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__add__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__simps_I2_J,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__simps_I1_J,axiom,
% 203.96/204.22 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__add__cong,axiom,
% 203.96/204.22 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 203.96/204.22 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 203.96/204.22 => 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) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__right__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__left__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__mult1,axiom,
% 203.96/204.22 ! [V_b,V_a,V_c,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__mult2,axiom,
% 203.96/204.22 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__simps_I4_J,axiom,
% 203.96/204.22 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__cong,axiom,
% 203.96/204.22 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 203.96/204.22 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 203.96/204.22 => 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) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__diff__cong,axiom,
% 203.96/204.22 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Oring__div(T_a)
% 203.96/204.22 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 203.96/204.22 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 203.96/204.22 => 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) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__diff__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Oring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__diff__left__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Oring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__diff__right__eq,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Oring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__le__mono,axiom,
% 203.96/204.22 ! [V_k,V_n,V_m] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__le__dividend,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mult2__eq,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__zero,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__self,axiom,
% 203.96/204.22 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__zmult1__eq,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__simps_I3_J,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiff__zmod__left,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiff__zmod__right,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zpower__zmod,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__top,axiom,
% 203.96/204.22 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Union__Pow__eq,axiom,
% 203.96/204.22 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OPow(T_a),V_A_2)) = V_A_2 ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__not__empty,axiom,
% 203.96/204.22 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__INT__eq,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__self1__is__0,axiom,
% 203.96/204.22 ! [V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__self2__is__0,axiom,
% 203.96/204.22 ! [V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__self2,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__self1,axiom,
% 203.96/204.22 ! [V_b,V_c,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__by__1,axiom,
% 203.96/204.22 ! [V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__div__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__1,axiom,
% 203.96/204.22 ! [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 ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__less,axiom,
% 203.96/204.22 ! [V_n,V_m] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_nat__mult__div__cancel__disj,axiom,
% 203.96/204.22 ! [V_n,V_m,V_k] :
% 203.96/204.22 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 => 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) )
% 203.96/204.22 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 => 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) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__le__nonneg__dividend,axiom,
% 203.96/204.22 ! [V_k,V_m] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 203.96/204.22 ! [V_y,V_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_pos__mod__bound,axiom,
% 203.96/204.22 ! [V_a,V_b] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_neg__mod__bound,axiom,
% 203.96/204.22 ! [V_a,V_b] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__eq__0__iff,axiom,
% 203.96/204.22 ! [V_d_2,V_m_2] :
% 203.96/204.22 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.22 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__zdiv__trivial,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_DIVISION__BY__ZERO,axiom,
% 203.96/204.22 ! [V_a] :
% 203.96/204.22 ( 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)
% 203.96/204.22 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__zadd1__eq,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__bottom,axiom,
% 203.96/204.22 ! [V_B_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Set_OPow(T_a),V_B_2))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__iff,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_PowD,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mod__equality,axiom,
% 203.96/204.22 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mod__equality2,axiom,
% 203.96/204.22 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__div__equality,axiom,
% 203.96/204.22 ! [V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__div__equality2,axiom,
% 203.96/204.22 ! [V_a,V_b,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 203.96/204.22 ! [V_b,V_a,T_a] :
% 203.96/204.22 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.22 => 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 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__mono,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__le__mono2,axiom,
% 203.96/204.22 ! [V_k,V_n,V_m] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mult__self1__is__m,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => 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 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mult__self__is__m,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => 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 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_nat__mult__div__cancel1,axiom,
% 203.96/204.22 ! [V_n,V_m,V_k] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__less__dividend,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_finite__Pow__iff,axiom,
% 203.96/204.22 ! [V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)))
% 203.96/204.22 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__neg__neg__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 203.96/204.22 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_neg__mod__conj,axiom,
% 203.96/204.22 ! [V_a,V_b] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 & 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_neg__mod__sign,axiom,
% 203.96/204.22 ! [V_a,V_b] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__pos__pos__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 203.96/204.22 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_pos__mod__conj,axiom,
% 203.96/204.22 ! [V_a,V_b] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 & 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_pos__mod__sign,axiom,
% 203.96/204.22 ! [V_a,V_b] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.22 => 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_subset__Pow__Union,axiom,
% 203.96/204.22 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__zmod__equality2,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__zmod__equality,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__zmult1__eq,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__zdiv__equality,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__zdiv__equality_H,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult__div__cancel,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__UNIV,axiom,
% 203.96/204.22 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_UN__Pow__subset,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__Int__eq,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__geq,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__if,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__div,axiom,
% 203.96/204.22 ! [V_k_2,V_n_2,V_Pa_2] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 203.96/204.22 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 203.96/204.22 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 => ! [B_i,B_j] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 203.96/204.22 => ( 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)
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__pos__neg__trivial,axiom,
% 203.96/204.22 ! [V_b,V_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.22 => ( 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)))
% 203.96/204.22 => 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) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Pow__empty,axiom,
% 203.96/204.22 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Un__Pow__subset,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_le__div__geq,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__div_H,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2,V_Pa_2] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 203.96/204.22 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 203.96/204.22 | ? [B_q] :
% 203.96/204.22 ( 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))
% 203.96/204.22 & 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))))
% 203.96/204.22 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__div__lemma,axiom,
% 203.96/204.22 ! [V_m_2,V_q_2,V_n_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 203.96/204.22 => ( ( 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))
% 203.96/204.22 & 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)))) )
% 203.96/204.22 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Powp__Pow__eq,axiom,
% 203.96/204.22 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_a),V_A_2))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 203.96/204.22 ! [V_y,V_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_divmod__int__rel__mod__eq,axiom,
% 203.96/204.22 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 203.96/204.22 ( 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)
% 203.96/204.22 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 203.96/204.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 203.96/204.22 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.22 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult2__lemma__aux2,axiom,
% 203.96/204.22 ! [V_q,V_r,V_b,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => 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))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult2__lemma__aux1,axiom,
% 203.96/204.22 ! [V_q,V_r,V_b,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => 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))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult2__lemma__aux4,axiom,
% 203.96/204.22 ! [V_q,V_b,V_r,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 203.96/204.22 => 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))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult2__lemma__aux3,axiom,
% 203.96/204.22 ! [V_q,V_b,V_r,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 203.96/204.22 => 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))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__zmod,axiom,
% 203.96/204.22 ! [V_k_2,V_n_2,V_Pa_2] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 203.96/204.22 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 203.96/204.22 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 203.96/204.22 => ! [B_i,B_j] :
% 203.96/204.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 203.96/204.22 & 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) )
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 203.96/204.22 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 => ! [B_i,B_j] :
% 203.96/204.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.22 & 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) )
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__zmult2__eq,axiom,
% 203.96/204.22 ! [V_b,V_a,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_tsub__eq,axiom,
% 203.96/204.22 ! [V_x,V_y] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 203.96/204.22 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_card__partition,axiom,
% 203.96/204.22 ! [V_k_2,V_C_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_C_2))
% 203.96/204.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 203.96/204.22 => ( ! [B_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c),V_C_2))
% 203.96/204.22 => hAPP(c_Finite__Set_Ocard(T_a),B_c) = V_k_2 )
% 203.96/204.22 => ( ! [B_c1] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c1),V_C_2))
% 203.96/204.22 => ! [B_c2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c2),V_C_2))
% 203.96/204.22 => ( B_c1 != B_c2
% 203.96/204.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 203.96/204.22 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__fold__inf,axiom,
% 203.96/204.22 ! [V_A_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.22 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),c_Orderings_Otop__class_Otop(T_a)),V_A_2) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_diff__Suc,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_setprod__pos__nat,axiom,
% 203.96/204.22 ! [V_f_2,V_S_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.22 => ( ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 203.96/204.22 => 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))) )
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_arith__series__nat,axiom,
% 203.96/204.22 ! [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)))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 203.96/204.22 <=> 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_finite__Inter,axiom,
% 203.96/204.22 ! [V_M_2,T_a] :
% 203.96/204.22 ( ? [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_M_2))
% 203.96/204.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) )
% 203.96/204.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_M_2))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_finite__lessThan,axiom,
% 203.96/204.22 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_InterD,axiom,
% 203.96/204.22 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_InterE,axiom,
% 203.96/204.22 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_card__lessThan,axiom,
% 203.96/204.22 ! [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 ).
% 203.96/204.22
% 203.96/204.22 fof(fact_UN__lessThan__UNIV,axiom,
% 203.96/204.22 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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_lessThan__Suc,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_lessThan__eq__iff,axiom,
% 203.96/204.22 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.22 ( class_Orderings_Olinorder(T_a)
% 203.96/204.22 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)
% 203.96/204.22 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_lessThan__0,axiom,
% 203.96/204.22 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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__less,axiom,
% 203.96/204.22 ! [V_n,V_m] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__add1__eq,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__less__eq__dividend,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__distrib,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__distrib2,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_le__Inf__iff,axiom,
% 203.96/204.22 ! [V_A_2,V_b_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)))
% 203.96/204.22 <=> ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__less__iff,axiom,
% 203.96/204.22 ! [V_a_2,V_S_2,T_a] :
% 203.96/204.22 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 & class_Orderings_Olinorder(T_a) )
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2)),V_a_2))
% 203.96/204.22 <=> ? [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_a_2)) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_lessThan__iff,axiom,
% 203.96/204.22 ! [V_k_2,V_i_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oord(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_i_2),V_k_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_lessThan__subset__iff,axiom,
% 203.96/204.22 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.22 ( class_Orderings_Olinorder(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_setsum__lessThan__Suc,axiom,
% 203.96/204.22 ! [V_n_2,V_f_2,T_a] :
% 203.96/204.22 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_lessThan__strict__subset__iff,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2,T_a] :
% 203.96/204.22 ( class_Orderings_Olinorder(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_n_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_n_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__Suc,axiom,
% 203.96/204.22 ! [V_n,V_m] :
% 203.96/204.22 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 203.96/204.22 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.22 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__1,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__less__divisor,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__eq__0__iff,axiom,
% 203.96/204.22 ! [V_d_2,V_m_2] :
% 203.96/204.22 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__if,axiom,
% 203.96/204.22 ! [V_n,V_m] :
% 203.96/204.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 203.96/204.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__geq,axiom,
% 203.96/204.22 ! [V_n,V_m] :
% 203.96/204.22 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__self3,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult2__eq,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mult1__eq,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_le__mod__geq,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_div__mod__equality_H,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mult__div__cancel,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Divides_Omod__div__equality_H,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__lower,axiom,
% 203.96/204.22 ! [V_A_2,V_B_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__def,axiom,
% 203.96/204.22 ! [V_S_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_nat__case__0,axiom,
% 203.96/204.22 ! [V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 203.96/204.22
% 203.96/204.22 fof(fact_nat__case__Suc,axiom,
% 203.96/204.22 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__anti__mono,axiom,
% 203.96/204.22 ! [V_A_2,V_B_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__empty,axiom,
% 203.96/204.22 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__insert,axiom,
% 203.96/204.22 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_single__Diff__lessThan,axiom,
% 203.96/204.22 ! [V_k_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.22 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__UNIV,axiom,
% 203.96/204.22 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__lower,axiom,
% 203.96/204.22 ! [V_A_2,V_x_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)),V_x_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__Un__distrib,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__le__divisor,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__mult__self4,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__singleton,axiom,
% 203.96/204.22 ! [V_a_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__empty,axiom,
% 203.96/204.22 ! [T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__UNIV,axiom,
% 203.96/204.22 ! [T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__insert,axiom,
% 203.96/204.22 ! [V_A_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_finite__nat__set__iff__bounded,axiom,
% 203.96/204.22 ! [V_N_2] :
% 203.96/204.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 203.96/204.22 <=> ? [B_m] :
% 203.96/204.22 ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Un__Inter,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 203.96/204.22 ! [V_N_2] :
% 203.96/204.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 203.96/204.22 <=> ? [B_m] :
% 203.96/204.22 ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_mod__lemma,axiom,
% 203.96/204.22 ! [V_q,V_b,V_r,V_c] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_split__mod,axiom,
% 203.96/204.22 ! [V_k_2,V_n_2,V_Pa_2] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 203.96/204.22 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 203.96/204.22 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.22 => ! [B_i,B_j] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 203.96/204.22 => ( 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)
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Suc__times__mod__eq,axiom,
% 203.96/204.22 ! [V_m,V_k] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Int__eq__Inter,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inter__Un__subset,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__binary,axiom,
% 203.96/204.22 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_inf__Inf__fold__inf,axiom,
% 203.96/204.22 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_B_2),V_A_2) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Inf__fin__Inf,axiom,
% 203.96/204.22 ! [V_A_2,T_a] :
% 203.96/204.22 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.22 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_arith__series__general,axiom,
% 203.96/204.22 ! [V_n_2,V_d_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.22 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_a)),c_Nat_Osemiring__1__class_Oof__nat(T_a))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OatMost__iff,axiom,
% 203.96/204.22 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatMost(T_a,V_less__eq_2,V_k_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OatLeast__iff,axiom,
% 203.96/204.22 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeast(T_a,V_less__eq_2,V_k_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OlessThan__iff,axiom,
% 203.96/204.22 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OlessThan(T_a,V_less_2,V_k_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OgreaterThan__iff,axiom,
% 203.96/204.22 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThan(T_a,V_less_2,V_k_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 203.96/204.22 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_a,V_less__eq_2,V_l_2,V_u_2)))
% 203.96/204.22 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__eq__iff,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2,T_a] :
% 203.96/204.22 ( class_Nat_Osemiring__char__0(T_a)
% 203.96/204.22 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)
% 203.96/204.22 <=> V_m_2 = V_n_2 ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_infinite__UNIV__nat,axiom,
% 203.96/204.22 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmod__int,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__setsum,axiom,
% 203.96/204.22 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__setprod,axiom,
% 203.96/204.22 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__eq__0__conv,axiom,
% 203.96/204.22 ! [V_n_2] :
% 203.96/204.22 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.22 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__0,axiom,
% 203.96/204.22 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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 203.96/204.22 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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zero__zle__int,axiom,
% 203.96/204.22 ! [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))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 203.96/204.22 ! [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))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 203.96/204.22 ! [V_Pa_2] :
% 203.96/204.22 ( ? [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.22 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.96/204.22 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 203.96/204.22 ! [V_Pa_2] :
% 203.96/204.22 ( ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.96/204.22 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__less__0__conv,axiom,
% 203.96/204.22 ! [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))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zless__int,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2] :
% 203.96/204.22 ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 203.96/204.22 ! [V_y_2,V_x_2] :
% 203.96/204.22 ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zle__int,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2] :
% 203.96/204.22 ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 203.96/204.22 ! [V_y_2,V_x_2] :
% 203.96/204.22 ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zadd__int__left,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zadd__int,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zle__iff__zadd,axiom,
% 203.96/204.22 ! [V_z_2,V_w_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 203.96/204.22 <=> ? [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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zero__le__imp__of__nat,axiom,
% 203.96/204.22 ! [V_m,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__0__le__iff,axiom,
% 203.96/204.22 ! [V_n,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__less__0__iff,axiom,
% 203.96/204.22 ! [V_m,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => ~ 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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult__int,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__mult,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__0,axiom,
% 203.96/204.22 ! [T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__less__imp__less,axiom,
% 203.96/204.22 ! [V_n,V_m,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => ( 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)))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_less__imp__of__nat__less,axiom,
% 203.96/204.22 ! [V_n,V_m,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__less__iff,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__1,axiom,
% 203.96/204.22 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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 203.96/204.22 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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__le__iff,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__add,axiom,
% 203.96/204.22 ! [V_n,V_m,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__mult,axiom,
% 203.96/204.22 ! [V_n,V_m,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiv__int,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__1,axiom,
% 203.96/204.22 ! [T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Ints__of__nat,axiom,
% 203.96/204.22 ! [V_n_2,T_a] :
% 203.96/204.22 ( class_Rings_Oring__1(T_a)
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__power,axiom,
% 203.96/204.22 ! [V_n,V_m,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => 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) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zpower__int,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__power,axiom,
% 203.96/204.22 ! [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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__setsum,axiom,
% 203.96/204.22 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__le__0__conv,axiom,
% 203.96/204.22 ! [V_n_2] :
% 203.96/204.22 ( 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)))
% 203.96/204.22 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__Suc0__eq__1,axiom,
% 203.96/204.22 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) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zless__iff__Suc__zadd,axiom,
% 203.96/204.22 ! [V_z_2,V_w_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 203.96/204.22 <=> ? [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))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__Suc,axiom,
% 203.96/204.22 ! [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)) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__setprod,axiom,
% 203.96/204.22 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.22 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.96/204.22 & class_Rings_Osemiring__1(T_a) )
% 203.96/204.22 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiff__int,axiom,
% 203.96/204.22 ! [V_m,V_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__Suc,axiom,
% 203.96/204.22 ! [V_m,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__diff,axiom,
% 203.96/204.22 ! [V_m,V_n,T_a] :
% 203.96/204.22 ( class_Rings_Oring__1(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.96/204.22 => 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)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_setsum__constant,axiom,
% 203.96/204.22 ! [V_A_2,V_y_2,T_b,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_y_2) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zero__less__int__conv,axiom,
% 203.96/204.22 ! [V_n_2] :
% 203.96/204.22 ( 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)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zmult__zless__mono2__lemma,axiom,
% 203.96/204.22 ! [V_k,V_j,V_i] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 203.96/204.22 => 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))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__0__less__iff,axiom,
% 203.96/204.22 ! [V_n_2,T_a] :
% 203.96/204.22 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 203.96/204.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zdiff__int__split,axiom,
% 203.96/204.22 ! [V_y_2,V_x_2,V_Pa_2] :
% 203.96/204.22 ( 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))))
% 203.96/204.22 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 203.96/204.22 => 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)))) )
% 203.96/204.22 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 203.96/204.22 ! [V_n_2,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_Groups_Oone__class_Oone(T_a)),V_n_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_setsum__bounded,axiom,
% 203.96/204.22 ! [V_K_2,V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.22 ( ( class_Groups_Oordered__ab__semigroup__add(T_b)
% 203.96/204.22 & class_Rings_Osemiring__1(T_b) )
% 203.96/204.22 => ( ! [B_i] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_A_2))
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_i)),V_K_2)) )
% 203.96/204.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))),V_K_2))) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 203.96/204.22 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 203.96/204.22 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 203.96/204.22 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 203.96/204.22 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 203.96/204.22 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_a] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_a,V_less_2,V_l_2,V_u_2)))
% 203.96/204.22 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 203.96/204.22 ! [V_y_2,V_x_2] :
% 203.96/204.22 ( 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)
% 203.96/204.22 <=> V_x_2 = V_y_2 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_int__int__eq,axiom,
% 203.96/204.22 ! [V_n_2,V_m_2] :
% 203.96/204.22 ( 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)
% 203.96/204.22 <=> V_m_2 = V_n_2 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 203.96/204.22 ! [V_i_2,V_inc_2,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 203.96/204.22 ! [V_i_2,V_n_2,V_inc_2,T_a] :
% 203.96/204.22 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.22 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_sum__diff__distrib,axiom,
% 203.96/204.22 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 203.96/204.22 ( ! [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)))
% 203.96/204.22 => 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)) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_setsum__natinterval__difff,axiom,
% 203.96/204.22 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 203.96/204.22 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 203.96/204.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_gauss__sum,axiom,
% 203.96/204.22 ! [V_n_2,T_a] :
% 203.96/204.22 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.22 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),c_Nat_Osemiring__1__class_Oof__nat(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_decr__mult__lemma,axiom,
% 203.96/204.22 ! [V_k_2,V_Pa_2,V_d_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 203.96/204.22 => ( ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 203.96/204.22 => ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.22 => 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)))) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_incr__mult__lemma,axiom,
% 203.96/204.22 ! [V_k_2,V_Pa_2,V_d_2] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 203.96/204.22 => ( ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.22 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 203.96/204.22 => ! [B_x] :
% 203.96/204.22 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.22 => 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)))) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_zero__less__imp__eq__int,axiom,
% 203.96/204.22 ! [V_k] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 203.96/204.22 => ? [B_n] :
% 203.96/204.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 203.96/204.22 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_finite__atLeastAtMost,axiom,
% 203.96/204.22 ! [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))) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_atLeastatMost__empty__iff2,axiom,
% 203.96/204.22 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.22 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)
% 203.96/204.22 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_atLeastatMost__empty__iff,axiom,
% 203.96/204.22 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.22 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.22 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_atLeastatMost__empty,axiom,
% 203.96/204.22 ! [V_a_2,V_b_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2))
% 203.96/204.22 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_atLeastatMost__subset__iff,axiom,
% 203.96/204.22 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)))
% 203.96/204.22 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 203.96/204.22 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 203.96/204.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_atLeastAtMost__singleton,axiom,
% 203.96/204.22 ! [V_a_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.22 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 203.96/204.22
% 203.96/204.22 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 203.96/204.22 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.22 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.23 <=> ( V_a_2 = V_b_2
% 203.96/204.23 & V_b_2 = V_ca_2 ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastAtMost__singleton_H,axiom,
% 203.96/204.23 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( V_a_2 = V_b_2
% 203.96/204.23 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 203.96/204.23 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 203.96/204.23 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_card__atLeastAtMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastAtMostSuc__conv,axiom,
% 203.96/204.23 ! [V_n_2,V_m_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 203.96/204.23 ! [V_k_2,V_f_2] :
% 203.96/204.23 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastatMost__psubset__iff,axiom,
% 203.96/204.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)))
% 203.96/204.23 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 203.96/204.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 203.96/204.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2))
% 203.96/204.23 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_a_2))
% 203.96/204.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_d_2)) ) ) )
% 203.96/204.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I4_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__head__Suc,axiom,
% 203.96/204.23 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__cl__ivl__Suc,axiom,
% 203.96/204.23 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_a) )
% 203.96/204.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__ub__add__nat,axiom,
% 203.96/204.23 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( 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))))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_all__nat__less,axiom,
% 203.96/204.23 ! [V_Pa_2,V_n_2] :
% 203.96/204.23 ( ! [B_m] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 203.96/204.23 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 203.96/204.23 <=> ! [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ex__nat__less,axiom,
% 203.96/204.23 ! [V_Pa_2,V_n_2] :
% 203.96/204.23 ( ? [B_m] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 203.96/204.23 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 203.96/204.23 <=> ? [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__le__eq__Un0,axiom,
% 203.96/204.23 ! [V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I5_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_geometric__sum,axiom,
% 203.96/204.23 ! [V_n_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Fields_Ofield(T_a)
% 203.96/204.23 => ( V_x_2 != c_Groups_Oone__class_Oone(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_Power_Opower__class_Opower(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x_2),c_Groups_Oone__class_Oone(T_a))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I10_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__greaterThanAtMost,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__atLeastLessThan,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__atMost,axiom,
% 203.96/204.23 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atMost__eq__iff,axiom,
% 203.96/204.23 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)
% 203.96/204.23 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_all__nat__less__eq,axiom,
% 203.96/204.23 ! [V_Pa_2,V_n_2] :
% 203.96/204.23 ( ! [B_m] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 203.96/204.23 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 203.96/204.23 <=> ! [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ex__nat__less__eq,axiom,
% 203.96/204.23 ! [V_Pa_2,V_n_2] :
% 203.96/204.23 ( ? [B_m] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 203.96/204.23 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 203.96/204.23 <=> ? [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__eq__iff,axiom,
% 203.96/204.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 203.96/204.23 <=> ( V_a_2 = V_ca_2
% 203.96/204.23 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 203.96/204.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 203.96/204.23 => V_a_2 = V_ca_2 ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 203.96/204.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 203.96/204.23 => V_b_2 = V_d_2 ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I9_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I3_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__add__Un,axiom,
% 203.96/204.23 ! [V_k_2,V_j_2,V_i_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 203.96/204.23 => 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan0,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast0LessThan,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_subset__card__intvl__is__intvl,axiom,
% 203.96/204.23 ! [V_k_2,V_A_2] :
% 203.96/204.23 ( 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)))))
% 203.96/204.23 => 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_card__atLeastLessThan,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__empty,axiom,
% 203.96/204.23 ! [V_a_2,V_b_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 203.96/204.23 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__empty__iff,axiom,
% 203.96/204.23 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 203.96/204.23 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)
% 203.96/204.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__subset__iff,axiom,
% 203.96/204.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 203.96/204.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 203.96/204.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 203.96/204.23 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I17_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 203.96/204.23 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__diff,axiom,
% 203.96/204.23 ! [V_m_2,V_n_2,V_i_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_n_2))
% 203.96/204.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_n_2),V_m_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I11_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThanAtMost__empty,axiom,
% 203.96/204.23 ! [V_k_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 203.96/204.23 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 203.96/204.23 ! [V_l_2,V_k_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 203.96/204.23 ! [V_l_2,V_k_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2)
% 203.96/204.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast0AtMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I20_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I14_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_lessThan__Suc__atMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_card__atMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atMost__Suc,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atMost__iff,axiom,
% 203.96/204.23 ! [V_k_2,V_i_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oord(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)))
% 203.96/204.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_k_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_simp__from__to,axiom,
% 203.96/204.23 ! [V_i_2,V_j_2] :
% 203.96/204.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 203.96/204.23 => 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)) )
% 203.96/204.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 203.96/204.23 => 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)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atMost__subset__iff,axiom,
% 203.96/204.23 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)))
% 203.96/204.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__add__nat__ivl,axiom,
% 203.96/204.23 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 203.96/204.23 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__diff__nat__ivl,axiom,
% 203.96/204.23 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 203.96/204.23 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 203.96/204.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_card__greaterThanAtMost,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThan__singleton,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__UN__finite__eq,axiom,
% 203.96/204.23 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I21_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I15_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I8_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I2_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 203.96/204.23 ! [V_k_2,V_f_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__head__upt__Suc,axiom,
% 203.96/204.23 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I22_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I16_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__atMost__UNIV,axiom,
% 203.96/204.23 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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThanSuc,axiom,
% 203.96/204.23 ! [V_n_2,V_m_2] :
% 203.96/204.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => 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)) )
% 203.96/204.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => 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)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__atMost__Suc,axiom,
% 203.96/204.23 ! [V_n_2,V_f_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atMost__0,axiom,
% 203.96/204.23 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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__le__add__shift,axiom,
% 203.96/204.23 ! [V_k_2,V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__op__ivl__Suc,axiom,
% 203.96/204.23 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_a) )
% 203.96/204.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I6_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__head,axiom,
% 203.96/204.23 ! [V_Pa_2,V_n_2,V_m_2,T_a] :
% 203.96/204.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I2_J,axiom,
% 203.96/204.23 ! [V_u_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__finite2__subset,axiom,
% 203.96/204.23 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 203.96/204.23 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_aset_I6_J,axiom,
% 203.96/204.23 ! [V_A_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( 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))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 203.96/204.23 => 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)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_bset_I8_J,axiom,
% 203.96/204.23 ! [V_B_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( 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))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 203.96/204.23 => 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))) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_bset_I6_J,axiom,
% 203.96/204.23 ! [V_t_2,V_B_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 203.96/204.23 => 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)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_aset_I8_J,axiom,
% 203.96/204.23 ! [V_t_2,V_A_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 203.96/204.23 => 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))) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__finite2__eq,axiom,
% 203.96/204.23 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 203.96/204.23 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 203.96/204.23 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__atLeastAtMost__int,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__greaterThanAtMost__int,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_aset_I4_J,axiom,
% 203.96/204.23 ! [V_A_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( B_x != V_t_2
% 203.96/204.23 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_bset_I4_J,axiom,
% 203.96/204.23 ! [V_B_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( B_x != V_t_2
% 203.96/204.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_bset_I7_J,axiom,
% 203.96/204.23 ! [V_B_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 203.96/204.23 => 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))) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_aset_I5_J,axiom,
% 203.96/204.23 ! [V_A_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 203.96/204.23 => 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)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_aset_I3_J,axiom,
% 203.96/204.23 ! [V_A_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( 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))
% 203.96/204.23 => ( ! [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xa] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 203.96/204.23 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 203.96/204.23 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__atLeastLessThan__int,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_infinite__UNIV__int,axiom,
% 203.96/204.23 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_bset_I3_J,axiom,
% 203.96/204.23 ! [V_B_2,V_t_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ( 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))
% 203.96/204.23 => ( ! [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xa] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 203.96/204.23 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 203.96/204.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_periodic__finite__ex,axiom,
% 203.96/204.23 ! [V_Pa_2,V_d_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 203.96/204.23 => ( ! [B_x,B_k] :
% 203.96/204.23 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.23 <=> 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)))) )
% 203.96/204.23 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 203.96/204.23 <=> ? [B_x] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_bset_I5_J,axiom,
% 203.96/204.23 ! [V_t_2,V_B_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 203.96/204.23 => 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)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_aset_I7_J,axiom,
% 203.96/204.23 ! [V_t_2,V_A_2,V_D_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 203.96/204.23 => ! [B_x] :
% 203.96/204.23 ( ! [B_xa] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 => ! [B_xb] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 203.96/204.23 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 203.96/204.23 => 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))) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__finite__subset,axiom,
% 203.96/204.23 ! [V_C_2,V_A_2,T_a] :
% 203.96/204.23 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I19_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I4_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I18_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I3_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 203.96/204.23 ! [V_x_2,V_y_2,V_ca_2] :
% 203.96/204.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 203.96/204.23 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) )
% 203.96/204.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 203.96/204.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 203.96/204.23 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 203.96/204.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 203.96/204.23 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__greaterThanLessThan,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__greaterThanLessThan__int,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__eqI,axiom,
% 203.96/204.23 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_b_2] :
% 203.96/204.23 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__imageI,axiom,
% 203.96/204.23 ! [V_h_2,T_b,V_F_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.96/204.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_F_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__insert,axiom,
% 203.96/204.23 ! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_rev__image__eqI,axiom,
% 203.96/204.23 ! [T_b,V_f_2,V_b_2,V_A_2,V_x_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.23 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_imageI,axiom,
% 203.96/204.23 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__iff,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 203.96/204.23 <=> ? [B_x] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.96/204.23 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__is__empty,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_a,T_b] :
% 203.96/204.23 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__empty,axiom,
% 203.96/204.23 ! [V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_empty__is__image,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.23 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)
% 203.96/204.23 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_subset__image__iff,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 203.96/204.23 <=> ? [B_AA] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_AA),V_A_2))
% 203.96/204.23 & V_B_2 = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),B_AA) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__mono,axiom,
% 203.96/204.23 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Un,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Pow__surj,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 203.96/204.23 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_B_2
% 203.96/204.23 => hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(c_Set_OPow(T_a),V_B_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__image,axiom,
% 203.96/204.23 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_range__composition,axiom,
% 203.96/204.23 ! [V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__extend__simps_I10_J,axiom,
% 203.96/204.23 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__UN,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Oimage(T_b,T_a,V_f_2)),V_B_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__simps_I10_J,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_INT__simps_I10_J,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_INT__extend__simps_I10_J,axiom,
% 203.96/204.23 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Pow__mono,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),V_B_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2))),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_insert__image,axiom,
% 203.96/204.23 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.23 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_rangeI,axiom,
% 203.96/204.23 ! [T_b,V_x_2,V_f_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_range__eqI,axiom,
% 203.96/204.23 ! [T_b,T_a,V_x_2,V_f_2,V_b_2] :
% 203.96/204.23 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__surj,axiom,
% 203.96/204.23 ! [V_f_2,V_B_2,T_b,V_A_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Int__subset,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__diff__subset,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Suc__atLeastLessThan,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Suc__atLeastAtMost,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__constant__conv,axiom,
% 203.96/204.23 ! [V_ca_2,T_b,T_a,V_A_2] :
% 203.96/204.23 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.23 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__range__imageI,axiom,
% 203.96/204.23 ! [V_f_2,T_c,V_g_2,T_b,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 203.96/204.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__add__atLeastLessThan,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__add__atLeastAtMost,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__Union,axiom,
% 203.96/204.23 ! [V_S_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_b,T_a,V_f_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThanLessThan__empty,axiom,
% 203.96/204.23 ! [V_k_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 203.96/204.23 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_card__image__le,axiom,
% 203.96/204.23 ! [V_f_2,T_b,V_A_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__constant,axiom,
% 203.96/204.23 ! [V_ca_2,T_b,V_A_2,V_x_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.23 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__eq__UN,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__eq__fold__image,axiom,
% 203.96/204.23 ! [V_f_2,T_b,V_A_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.23 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_b,tc_HOL_Obool),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I12_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I13_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I9_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_card__greaterThanLessThan,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I10_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I1_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I15_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I16_J,axiom,
% 203.96/204.23 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I7_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThan__0,axiom,
% 203.96/204.23 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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Inf__fin_Ohom__commute,axiom,
% 203.96/204.23 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.23 ( class_Lattices_Olattice(T_a)
% 203.96/204.23 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.23 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Sup__fin_Ohom__commute,axiom,
% 203.96/204.23 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.23 ( class_Lattices_Olattice(T_a)
% 203.96/204.23 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.23 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_hom__fold1__commute,axiom,
% 203.96/204.23 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 203.96/204.23 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.23 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.23 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atMost__Int__atLeast,axiom,
% 203.96/204.23 ! [V_n_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast__eq__iff,axiom,
% 203.96/204.23 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)
% 203.96/204.23 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThan__eq__iff,axiom,
% 203.96/204.23 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)
% 203.96/204.23 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast__Suc__greaterThan,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.23 <=> 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2] :
% 203.96/204.23 ( V_A_2 = V_B_2
% 203.96/204.23 <=> 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) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I1_J,axiom,
% 203.96/204.23 ! [V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I13_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 203.96/204.23 ! [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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 203.96/204.23 ! [V_A_2,V_x_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 203.96/204.23 <=> 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I12_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UNION__eq__Union__image,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Union__image__eq,axiom,
% 203.96/204.23 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_INTER__eq__Inter__image,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Inter__image__eq,axiom,
% 203.96/204.23 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.23 <=> 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast__iff,axiom,
% 203.96/204.23 ! [V_k_2,V_i_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oord(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)))
% 203.96/204.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_k_2),V_i_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast__subset__iff,axiom,
% 203.96/204.23 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)))
% 203.96/204.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast__0,axiom,
% 203.96/204.23 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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThan__iff,axiom,
% 203.96/204.23 ! [V_k_2,V_i_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oord(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)))
% 203.96/204.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_i_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThan__subset__iff,axiom,
% 203.96/204.23 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)))
% 203.96/204.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Un__Union__image,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Int__Inter__image,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Pow__insert,axiom,
% 203.96/204.23 ! [V_A_2,V_a_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_a),V_a_2)),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 203.96/204.23 ! [V_A_2] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 203.96/204.23 <=> 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 203.96/204.23 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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_INT__greaterThan__UNIV,axiom,
% 203.96/204.23 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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__add__int__atLeastLessThan,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I14_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I8_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_UN__atLeast__UNIV,axiom,
% 203.96/204.23 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)) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I6_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_atLeast__Suc,axiom,
% 203.96/204.23 ! [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)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I7_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__un_I11_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Olinorder(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_ivl__disj__int_I5_J,axiom,
% 203.96/204.23 ! [V_u_2,V_l_2,T_a] :
% 203.96/204.23 ( class_Orderings_Oorder(T_a)
% 203.96/204.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_greaterThan__Suc,axiom,
% 203.96/204.23 ! [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)))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Cantors__paradox,axiom,
% 203.96/204.23 ! [V_A_2,T_a] :
% 203.96/204.23 ~ ? [B_f] : hAPP(c_Set_Oimage(T_a,tc_fun(T_a,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_a),V_A_2) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_finite__pointwise,axiom,
% 203.96/204.23 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_G_2,T_b,V_U_2,T_a] :
% 203.96/204.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_U_2))
% 203.96/204.23 => ( ! [B_p] :
% 203.96/204.23 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 203.96/204.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_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_b),tc_HOL_Obool)))) )
% 203.96/204.23 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 203.96/204.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),V_c0_2)),V_Qa_2)),V_U_2)) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_incr__lemma,axiom,
% 203.96/204.23 ! [V_x,V_z,V_d] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 203.96/204.23 => 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)))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_decr__lemma,axiom,
% 203.96/204.23 ! [V_z,V_x,V_d] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_Inter__subset,axiom,
% 203.96/204.23 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.23 ( ! [B_X] :
% 203.96/204.23 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_A_2))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_X),V_B_2)) )
% 203.96/204.23 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__abs,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_setsum__abs__ge__zero,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__divide,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__int__eq,axiom,
% 203.96/204.23 ! [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) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__ge__self,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__le__D1,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 203.96/204.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__of__nat,axiom,
% 203.96/204.23 ! [V_n,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => 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) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_power__abs,axiom,
% 203.96/204.23 ! [V_n,V_a,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => 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) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__idempotent,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__mult,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__mult__self,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => 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) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__add__abs,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__zero,axiom,
% 203.96/204.23 ! [T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__eq__0,axiom,
% 203.96/204.23 ! [V_a_2,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.23 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__one,axiom,
% 203.96/204.23 ! [T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__minus__commute,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__setsum__abs,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__setprod,axiom,
% 203.96/204.23 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.23 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__of__nonneg,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__le__zero__iff,axiom,
% 203.96/204.23 ! [V_a_2,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.23 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__ge__zero,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__not__less__zero,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ~ 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_zero__less__abs__iff,axiom,
% 203.96/204.23 ! [V_a_2,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)))
% 203.96/204.23 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__of__pos,axiom,
% 203.96/204.23 ! [V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__triangle__ineq,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__mult__less,axiom,
% 203.96/204.23 ! [V_d,V_b,V_c,V_a,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 203.96/204.23 => 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))) ) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__triangle__ineq3,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__triangle__ineq2,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__triangle__ineq2__sym,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_nonzero__abs__divide,axiom,
% 203.96/204.23 ! [V_a,V_b,T_a] :
% 203.96/204.23 ( class_Fields_Olinordered__field(T_a)
% 203.96/204.23 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.23 => 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)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__zmult__eq__1,axiom,
% 203.96/204.23 ! [V_n,V_m] :
% 203.96/204.23 ( 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)
% 203.96/204.23 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__mult__pos,axiom,
% 203.96/204.23 ! [V_y,V_x,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.23 => 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)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__eq__mult,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Rings_Oordered__ring__abs(T_a)
% 203.96/204.23 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 203.96/204.23 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 203.96/204.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 203.96/204.23 => 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)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__triangle__ineq4,axiom,
% 203.96/204.23 ! [V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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)))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__diff__triangle__ineq,axiom,
% 203.96/204.23 ! [V_d,V_c,V_b,V_a,T_a] :
% 203.96/204.23 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.23 => 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))))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_zero__le__power__abs,axiom,
% 203.96/204.23 ! [V_n,V_a,T_a] :
% 203.96/204.23 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.23 => 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))) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_abs__div__pos,axiom,
% 203.96/204.23 ! [V_x,V_y,T_a] :
% 203.96/204.23 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.23 => 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)) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_zabs__less__one__iff,axiom,
% 203.96/204.23 ! [V_z_2] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_zero__le__zpower__abs,axiom,
% 203.96/204.23 ! [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))) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_zero__less__zpower__abs__iff,axiom,
% 203.96/204.23 ! [V_n_2,V_x_2] :
% 203.96/204.23 ( 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)))
% 203.96/204.23 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.23 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.23
% 203.96/204.23 fof(fact_image__ident,axiom,
% 203.96/204.23 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 203.96/204.23
% 203.96/204.23 fof(fact_fun__upd__image,axiom,
% 203.96/204.23 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 203.96/204.23 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 => hAPP(c_Set_Oimage(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) )
% 203.96/204.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 => hAPP(c_Set_Oimage(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 203.96/204.24 ! [V_u_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 203.96/204.24 => 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))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__greaterThanLessThan__int,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_int__val__lemma,axiom,
% 203.96/204.24 ! [V_k_2,V_f_2,V_n_2] :
% 203.96/204.24 ( ! [B_i] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 203.96/204.24 => 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))) )
% 203.96/204.24 => ( 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))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 203.96/204.24 => ? [B_i] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 203.96/204.24 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat0__intermed__int__val,axiom,
% 203.96/204.24 ! [V_k_2,V_f_2,V_n_2] :
% 203.96/204.24 ( ! [B_i] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 203.96/204.24 => 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))) )
% 203.96/204.24 => ( 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))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 203.96/204.24 => ? [B_i] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 203.96/204.24 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__triv,axiom,
% 203.96/204.24 ! [V_x_2,V_f_2,T_b,T_a] : c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__idem__iff,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 203.96/204.24 ( c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2) = V_f_2
% 203.96/204.24 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__upd,axiom,
% 203.96/204.24 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_z_2) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__same,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,V_f_2,T_a,T_b] : hAPP(c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__apply,axiom,
% 203.96/204.24 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 203.96/204.24 ( ( V_z_2 = V_x_2
% 203.96/204.24 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 203.96/204.24 & ( V_z_2 != V_x_2
% 203.96/204.24 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__twist,axiom,
% 203.96/204.24 ! [V_d_2,V_b_2,V_m_2,T_b,T_a,V_ca_2,V_a_2] :
% 203.96/204.24 ( V_a_2 != V_ca_2
% 203.96/204.24 => c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_a_2,V_b_2),V_ca_2,V_d_2) = c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_ca_2,V_d_2),V_a_2,V_b_2) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__other,axiom,
% 203.96/204.24 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 203.96/204.24 ( V_z_2 != V_x_2
% 203.96/204.24 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__idem,axiom,
% 203.96/204.24 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] :
% 203.96/204.24 ( hAPP(V_f_2,V_x_2) = V_y_2
% 203.96/204.24 => c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__upd__def,axiom,
% 203.96/204.24 ! [V_b_2,V_f_2,T_b,T_a,V_a_2,V_x_2] :
% 203.96/204.24 ( ( V_x_2 = V_a_2
% 203.96/204.24 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 203.96/204.24 & ( V_x_2 != V_a_2
% 203.96/204.24 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__int,axiom,
% 203.96/204.24 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__0,axiom,
% 203.96/204.24 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 203.96/204.24 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_eq__nat__nat__iff,axiom,
% 203.96/204.24 ! [V_z_H_2,V_z_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 203.96/204.24 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 203.96/204.24 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_ex__nat,axiom,
% 203.96/204.24 ! [V_Pa_2] :
% 203.96/204.24 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 203.96/204.24 <=> ? [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.24 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_all__nat,axiom,
% 203.96/204.24 ! [V_Pa_2] :
% 203.96/204.24 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 203.96/204.24 <=> ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.24 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 203.96/204.24 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 203.96/204.24 <=> V_x_2 = V_y_2 ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 203.96/204.24 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 203.96/204.24 ! [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 ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 203.96/204.24 ! [V_A_2,V_f_2,T_a] :
% 203.96/204.24 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.24 & class_Groups_Ocomm__monoid__mult(T_a) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 203.96/204.24 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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__le__0,axiom,
% 203.96/204.24 ! [V_z] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.24 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__0__iff,axiom,
% 203.96/204.24 ! [V_i_2] :
% 203.96/204.24 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_zless__nat__conj,axiom,
% 203.96/204.24 ! [V_z_2,V_w_2] :
% 203.96/204.24 ( 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)))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__mono__iff,axiom,
% 203.96/204.24 ! [V_w_2,V_z_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 203.96/204.24 => ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 203.96/204.24 => ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__1,axiom,
% 203.96/204.24 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_int__nat__eq,axiom,
% 203.96/204.24 ! [V_z] :
% 203.96/204.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 203.96/204.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => 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) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_int__eq__iff,axiom,
% 203.96/204.24 ! [V_z_2,V_m_2] :
% 203.96/204.24 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 203.96/204.24 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__0__le,axiom,
% 203.96/204.24 ! [V_z] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_zless__nat__eq__int__zless,axiom,
% 203.96/204.24 ! [V_z_2,V_m_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 203.96/204.24 <=> 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__abs__mult__distrib,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 203.96/204.24 ! [V_A_2,V_f_2,T_a] :
% 203.96/204.24 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.24 & class_Groups_Ocomm__monoid__mult(T_a) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 203.96/204.24 ! [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) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__atLeastLessThan__int,axiom,
% 203.96/204.24 ! [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)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_zero__less__nat__eq,axiom,
% 203.96/204.24 ! [V_z_2] :
% 203.96/204.24 ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__less__eq__zless,axiom,
% 203.96/204.24 ! [V_z_2,V_w_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 => ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 203.96/204.24 => ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__eq__iff2,axiom,
% 203.96/204.24 ! [V_w_2,V_m_2] :
% 203.96/204.24 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 203.96/204.24 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 203.96/204.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__eq__iff,axiom,
% 203.96/204.24 ! [V_m_2,V_w_2] :
% 203.96/204.24 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 203.96/204.24 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 203.96/204.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__le__eq__zle,axiom,
% 203.96/204.24 ! [V_z_2,V_w_2] :
% 203.96/204.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 203.96/204.24 => ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_split__nat,axiom,
% 203.96/204.24 ! [V_i_2,V_Pa_2] :
% 203.96/204.24 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 203.96/204.24 <=> ( ! [B_n] :
% 203.96/204.24 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 203.96/204.24 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 203.96/204.24 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.24 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__add__distrib,axiom,
% 203.96/204.24 ! [V_z_H,V_z] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__mult__distrib,axiom,
% 203.96/204.24 ! [V_z_H,V_z] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__diff__distrib,axiom,
% 203.96/204.24 ! [V_z,V_z_H] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 203.96/204.24 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__mod__distrib,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__div__distrib,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__greaterThanAtMost__int,axiom,
% 203.96/204.24 ! [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)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 203.96/204.24 ! [V_n,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__power__eq,axiom,
% 203.96/204.24 ! [V_n,V_z] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 203.96/204.24 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_one__less__nat__eq,axiom,
% 203.96/204.24 ! [V_z_2] :
% 203.96/204.24 ( 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)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__less__iff,axiom,
% 203.96/204.24 ! [V_m_2,V_w_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 203.96/204.24 <=> 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 203.96/204.24 ! [V_z] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__atLeastAtMost__int,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__aux__def,axiom,
% 203.96/204.24 ! [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) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__morphism__nat__int,axiom,
% 203.96/204.24 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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 203.96/204.24 ! [V_n_2,V_m_2] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 203.96/204.24 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 203.96/204.24 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => ( V_A_2 = V_B_2
% 203.96/204.24 <=> 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) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 203.96/204.24 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x)
% 203.96/204.24 => ( c_Nat__Transfer_Ois__nat(V_y)
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 203.96/204.24 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 203.96/204.24 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x)
% 203.96/204.24 => ( c_Nat__Transfer_Ois__nat(V_y)
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x)
% 203.96/204.24 => ( c_Nat__Transfer_Ois__nat(V_y)
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x)
% 203.96/204.24 => ( c_Nat__Transfer_Ois__nat(V_y)
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 203.96/204.24 ! [V_n,V_x] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x)
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 203.96/204.24 ! [V_y,V_x] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x)
% 203.96/204.24 => ( c_Nat__Transfer_Ois__nat(V_y)
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 203.96/204.24 ! [V_A_2,V_x_2] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 203.96/204.24 <=> 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 203.96/204.24 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__set__def,axiom,
% 203.96/204.24 ! [V_S_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_S_2)
% 203.96/204.24 <=> ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_is__nat__def,axiom,
% 203.96/204.24 ! [V_x_2] :
% 203.96/204.24 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 203.96/204.24 ! [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)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 203.96/204.24 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.24 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.24 & class_Groups_Ocomm__monoid__mult(T_a) )
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 203.96/204.24 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 203.96/204.24 ! [V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => 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 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 203.96/204.24 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.24 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.24 & class_Groups_Ocomm__monoid__mult(T_a) )
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 203.96/204.24 ! [V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 203.96/204.24 <=> 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 203.96/204.24 ! [V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.24 <=> 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2] :
% 203.96/204.24 ( c_Nat__Transfer_Onat__set(V_A_2)
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.24 <=> 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 203.96/204.24 ! [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)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 203.96/204.24 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.24 ( ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 203.96/204.24 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.24 ( ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.24 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 203.96/204.24 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.24 & class_Groups_Ocomm__monoid__mult(T_a) )
% 203.96/204.24 => ( V_A_2 = V_B_2
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => ( ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.24 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 203.96/204.24 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.24 & class_Groups_Ocomm__monoid__mult(T_a) )
% 203.96/204.24 => ( V_A_2 = V_B_2
% 203.96/204.24 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 203.96/204.24 => ( ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.24 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__gcd_Osimps,axiom,
% 203.96/204.24 ! [V_x,V_y] :
% 203.96/204.24 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.24 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 203.96/204.24 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 203.96/204.24 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_a] :
% 203.96/204.24 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 203.96/204.24 => ( ! [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))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__less__Suc2,axiom,
% 203.96/204.24 ! [V_i_2,V_M_2] :
% 203.96/204.24 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 203.96/204.24 => 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))))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__less,axiom,
% 203.96/204.24 ! [V_i_2,V_M_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_card__less__Suc,axiom,
% 203.96/204.24 ! [V_i_2,V_M_2] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 203.96/204.24 => 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))))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_CollectI,axiom,
% 203.96/204.24 ! [T_a,V_a_2,V_Pa_2] :
% 203.96/204.24 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_Pa_2))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__conjI,axiom,
% 203.96/204.24 ! [V_Qa_2,V_Pa_2,T_a] :
% 203.96/204.24 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Qa_2))) )
% 203.96/204.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2)),V_Qa_2)))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__less__nat,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__le__nat,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_empty__Collect__eq,axiom,
% 203.96/204.24 ! [V_Pa_2,T_a] :
% 203.96/204.24 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),V_Pa_2)
% 203.96/204.24 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__empty__eq,axiom,
% 203.96/204.24 ! [V_Pa_2,T_a] :
% 203.96/204.24 ( hAPP(c_Set_OCollect(T_a),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__def,axiom,
% 203.96/204.24 ! [V_Pa_2,T_a] : hAPP(c_Set_OCollect(T_a),V_Pa_2) = V_Pa_2 ).
% 203.96/204.24
% 203.96/204.24 fof(fact_CollectE,axiom,
% 203.96/204.24 ! [V_Pa_2,V_a_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_CollectD,axiom,
% 203.96/204.24 ! [V_Pa_2,V_a_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_mem__Collect__eq,axiom,
% 203.96/204.24 ! [V_Pa_2,V_a_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__mem__eq,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)) = V_A_2 ).
% 203.96/204.24
% 203.96/204.24 fof(fact_empty__def,axiom,
% 203.96/204.24 ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__disjI,axiom,
% 203.96/204.24 ! [V_Qa_2,V_Pa_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_Pa_2)),V_Qa_2))))
% 203.96/204.24 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Qa_2))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_insert__Collect,axiom,
% 203.96/204.24 ! [V_Pa_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_Pa_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_UNIV__def,axiom,
% 203.96/204.24 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fTrue)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__disj__eq,axiom,
% 203.96/204.24 ! [V_Qa_2,V_Pa_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_Pa_2)),hAPP(c_Set_OCollect(T_a),V_Qa_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__conj__eq,axiom,
% 203.96/204.24 ! [V_Qa_2,V_Pa_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_Pa_2)),hAPP(c_Set_OCollect(T_a),V_Qa_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_insert__compr__raw,axiom,
% 203.96/204.24 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_insert__compr,axiom,
% 203.96/204.24 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Un__def,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Int__Collect,axiom,
% 203.96/204.24 ! [V_Pa_2,V_A_2,V_x_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_Pa_2))))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Int__def,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_singleton__conv2,axiom,
% 203.96/204.24 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_singleton__conv,axiom,
% 203.96/204.24 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__conv__if2,axiom,
% 203.96/204.24 ! [T_a,V_a_2,V_Pa_2] :
% 203.96/204.24 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 203.96/204.24 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 203.96/204.24 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 203.96/204.24 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__conv__if,axiom,
% 203.96/204.24 ! [T_a,V_a_2,V_Pa_2] :
% 203.96/204.24 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 203.96/204.24 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 203.96/204.24 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 203.96/204.24 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_set__diff__eq,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__not,axiom,
% 203.96/204.24 ! [V_Pa_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_Pa_2))))
% 203.96/204.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_insert__def,axiom,
% 203.96/204.24 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__M__bounded__by__nat,axiom,
% 203.96/204.24 ! [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))))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__setsum__restrict,axiom,
% 203.96/204.24 ! [V_R_2,V_f_2,V_T_2,T_b,V_S_2,T_a,T_c] :
% 203.96/204.24 ( class_Groups_Ocomm__monoid__add(T_c)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_c),tc_fun(tc_fun(T_a,tc_HOL_Obool),T_c),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c)),hAPP(c_COMBC(T_a,T_b,T_c),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_if__image__distrib,axiom,
% 203.96/204.24 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__all__eq,axiom,
% 203.96/204.24 ! [V_Pa_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),V_Pa_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__seg__image__imp__finite,axiom,
% 203.96/204.24 ! [V_n_2,V_f_2,T_a,V_A_2] :
% 203.96/204.24 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 203.96/204.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__restrict__set_H,axiom,
% 203.96/204.24 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.24 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__image__gen,axiom,
% 203.96/204.24 ! [V_f_2,T_c,V_g_2,V_S_2,T_a,T_b] :
% 203.96/204.24 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),T_b,T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_a),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_S_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__multicount,axiom,
% 203.96/204.24 ! [V_k_2,V_R_2,V_T_2,T_b,V_S_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 203.96/204.24 => ( ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_T_2))
% 203.96/204.24 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_T_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__multicount__gen,axiom,
% 203.96/204.24 ! [V_k_2,V_R_2,V_t_2,T_b,V_s_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_t_2))
% 203.96/204.24 => ( ! [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_t_2))
% 203.96/204.24 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_s_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_inf__Sup1__distrib,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Lattices_Odistrib__lattice(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_inf__Sup2__distrib,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Lattices_Odistrib__lattice(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_sup__Inf2__distrib,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Lattices_Odistrib__lattice(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__subsets,axiom,
% 203.96/204.24 ! [V_A_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Pow__def,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__image__set,axiom,
% 203.96/204.24 ! [V_f_2,T_b,V_Pa_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_a)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__Collect__bounded__ex,axiom,
% 203.96/204.24 ! [V_Qa_2,T_b,V_Pa_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Pa_2)))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2))),V_Qa_2)))))
% 203.96/204.24 <=> ! [B_y] :
% 203.96/204.24 ( hBOOL(hAPP(V_Pa_2,B_y))
% 203.96/204.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 203.96/204.24 ! [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))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 203.96/204.24 ! [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)))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_sup__Inf1__distrib,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Lattices_Odistrib__lattice(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_add__Min__commute,axiom,
% 203.96/204.24 ! [V_k_2,V_N_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_add__Max__commute,axiom,
% 203.96/204.24 ! [V_k_2,V_N_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__conv__nat__seg__image,axiom,
% 203.96/204.24 ! [V_A_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_pigeonhole__infinite,axiom,
% 203.96/204.24 ! [V_f_2,T_b,V_A_2,T_a] :
% 203.96/204.24 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.24 => ? [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.24 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_diff__nat__eq__if,axiom,
% 203.96/204.24 ! [V_z_2,V_z_H_2] :
% 203.96/204.24 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 203.96/204.24 => 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) )
% 203.96/204.24 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_not__neg__0,axiom,
% 203.96/204.24 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_not__neg__int,axiom,
% 203.96/204.24 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_not__neg__1,axiom,
% 203.96/204.24 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Min_Osingleton,axiom,
% 203.96/204.24 ! [V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Max_Osingleton,axiom,
% 203.96/204.24 ! [V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_not__neg__eq__ge__0,axiom,
% 203.96/204.24 ! [V_x_2] :
% 203.96/204.24 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__def,axiom,
% 203.96/204.24 ! [V_Z_2] :
% 203.96/204.24 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__nat,axiom,
% 203.96/204.24 ! [V_z] :
% 203.96/204.24 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 203.96/204.24 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_not__neg__nat,axiom,
% 203.96/204.24 ! [V_z] :
% 203.96/204.24 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 203.96/204.24 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Max__ge,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Min__le,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_x_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Min__in,axiom,
% 203.96/204.24 ! [V_A_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Max__in,axiom,
% 203.96/204.24 ! [V_A_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Min__antimono,axiom,
% 203.96/204.24 ! [V_N_2,V_M_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 203.96/204.24 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_M_2))) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Max__mono,axiom,
% 203.96/204.24 ! [V_N_2,V_M_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 203.96/204.24 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2))) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Min_Oremove,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 )
% 203.96/204.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Max_Oremove,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 )
% 203.96/204.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.24 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__SucD,axiom,
% 203.96/204.24 ! [V_n_2,V_A_2,V_f_2,T_a] :
% 203.96/204.24 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 203.96/204.24 => ? [B_x] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.24 & 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__cases,axiom,
% 203.96/204.24 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_a,T_b] :
% 203.96/204.24 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_Pa_2))))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__mod__eq__lemma,axiom,
% 203.96/204.24 ! [V_y,V_n,V_x] :
% 203.96/204.24 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 203.96/204.24 => ? [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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_ComplI,axiom,
% 203.96/204.24 ! [V_A_2,V_ca_2,T_a] :
% 203.96/204.24 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Int__greaterThanLessThan,axiom,
% 203.96/204.24 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_sup__max,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( ( class_Lattices_Osemilattice__sup(T_a)
% 203.96/204.24 & class_Orderings_Olinorder(T_a) )
% 203.96/204.24 => c_Lattices_Osemilattice__sup__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Int__atLeastAtMost,axiom,
% 203.96/204.24 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Int__greaterThanAtMost,axiom,
% 203.96/204.24 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Int__atLeastLessThan,axiom,
% 203.96/204.24 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_inf__min,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( ( class_Lattices_Osemilattice__inf(T_a)
% 203.96/204.24 & class_Orderings_Olinorder(T_a) )
% 203.96/204.24 => c_Lattices_Osemilattice__inf__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__subset__Compl__iff,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__anti__mono,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Odistrib__sup__le,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Odistrib__inf__le,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__supE,axiom,
% 203.96/204.24 ! [V_x,V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( 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))
% 203.96/204.24 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 203.96/204.24 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__mono,axiom,
% 203.96/204.24 ! [V_d,V_b,V_c,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 203.96/204.24 => 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__least,axiom,
% 203.96/204.24 ! [V_z,V_x,V_y,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 203.96/204.24 => 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)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__supI,axiom,
% 203.96/204.24 ! [V_b,V_x,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 203.96/204.24 => 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)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__absorb1,axiom,
% 203.96/204.24 ! [V_x,V_y,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__absorb2,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__supI2,axiom,
% 203.96/204.24 ! [V_a,V_b,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__supI1,axiom,
% 203.96/204.24 ! [V_b,V_a,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__sup__iff,axiom,
% 203.96/204.24 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__iff__sup,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.96/204.24 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_le__maxI2,axiom,
% 203.96/204.24 ! [V_x,V_y,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_le__maxI1,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_le__max__iff__disj,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_x_2))
% 203.96/204.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_y_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__mono,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__le__compl__iff,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_le__imp__neg__le,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__le__iff__le,axiom,
% 203.96/204.24 ! [V_a_2,V_b_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__le__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_le__minus__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__infE,axiom,
% 203.96/204.24 ! [V_b,V_a,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( 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)))
% 203.96/204.24 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.96/204.24 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__mono,axiom,
% 203.96/204.24 ! [V_d,V_b,V_c,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 203.96/204.24 => 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__greatest,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 203.96/204.24 => 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__infI,axiom,
% 203.96/204.24 ! [V_b,V_a,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 203.96/204.24 => 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))) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__absorb2,axiom,
% 203.96/204.24 ! [V_x,V_y,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__absorb1,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__infI2,axiom,
% 203.96/204.24 ! [V_a,V_x,V_b,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__infI1,axiom,
% 203.96/204.24 ! [V_b,V_x,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__inf__iff,axiom,
% 203.96/204.24 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y_2),V_z_2)))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ole__iff__inf,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 203.96/204.24 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__le2,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__le1,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__le__iff__disj,axiom,
% 203.96/204.24 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 203.96/204.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_less__max__iff__disj,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 203.96/204.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_max__less__iff__conj,axiom,
% 203.96/204.24 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oless__supI1,axiom,
% 203.96/204.24 ! [V_b,V_a,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oless__supI2,axiom,
% 203.96/204.24 ! [V_a,V_b,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 203.96/204.24 => 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))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__less__iff__less,axiom,
% 203.96/204.24 ! [V_a_2,V_b_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__less__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_less__minus__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__less__iff__conj,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__less__iff__disj,axiom,
% 203.96/204.24 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 203.96/204.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oless__infI1,axiom,
% 203.96/204.24 ! [V_b,V_x,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oless__infI2,axiom,
% 203.96/204.24 ! [V_a,V_x,V_b,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__iff,axiom,
% 203.96/204.24 ! [V_A_2,V_ca_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 203.96/204.24 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_ComplD,axiom,
% 203.96/204.24 ! [V_A_2,V_ca_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 203.96/204.24 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_ComplE,axiom,
% 203.96/204.24 ! [V_A_2,V_ca_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 203.96/204.24 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_max__diff__distrib__left,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__diff__eq,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__diff__distrib__left,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__diff,axiom,
% 203.96/204.24 ! [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) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__divide__left,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__divide__divide,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__divide__right,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__0R,axiom,
% 203.96/204.24 ! [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) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__0L,axiom,
% 203.96/204.24 ! [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) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Max_Oidem,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Min_Oidem,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__minus,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__max__eq__min,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__min__eq__max,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_equation__minus__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 203.96/204.24 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__equation__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_b_2
% 203.96/204.24 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) = V_a_2 ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__equal__iff__equal,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 203.96/204.24 <=> V_a_2 = V_b_2 ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_double__complement,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__eq__Compl__iff,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.24 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)
% 203.96/204.24 <=> V_A_2 = V_B_2 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_double__compl,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup_Oidem,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf_Oidem,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_uminus__apply,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_b,T_a] :
% 203.96/204.24 ( class_Groups_Ouminus(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup_Ocommute,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__commute,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf_Ocommute,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__commute,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__inf__absorb,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__left__idem,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__left__idem,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 203.96/204.24 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__left__commute,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 203.96/204.24 ! [V_c,V_a,V_b,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__left__commute,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__eq__compl__iff,axiom,
% 203.96/204.24 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)
% 203.96/204.24 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup_Oassoc,axiom,
% 203.96/204.24 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__assoc,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf_Oassoc,axiom,
% 203.96/204.24 ! [V_c,V_b,V_a,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__assoc,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 203.96/204.24 ! [V_x,V_z,V_y,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 203.96/204.24 ! [V_x,V_z,V_y,T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_fun__Compl__def,axiom,
% 203.96/204.24 ! [V_x_2,V_A_2,T_b,T_a] :
% 203.96/204.24 ( class_Groups_Ouminus(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__add__distrib__left,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_square__eq__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Rings_Oidom(T_a)
% 203.96/204.24 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 203.96/204.24 <=> ( V_a_2 = V_b_2
% 203.96/204.24 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__mult__minus,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Rings_Oring(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__mult__commute,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Rings_Oring(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__mult__left,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Rings_Oring(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__mult__right,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Rings_Oring(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__add__cancel,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_add__minus__cancel,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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 ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__add,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__add__distrib,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_max__add__distrib__left,axiom,
% 203.96/204.24 ! [V_z,V_y,V_x,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__equal__zero,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_a_2
% 203.96/204.24 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__equal__0__iff__equal,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.24 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_equal__neg__zero,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 203.96/204.24 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__0__equal__iff__equal,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 203.96/204.24 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__zero,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_max__0R,axiom,
% 203.96/204.24 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 203.96/204.24
% 203.96/204.24 fof(fact_max__0L,axiom,
% 203.96/204.24 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 203.96/204.24
% 203.96/204.24 fof(fact_mod__minus__cong,axiom,
% 203.96/204.24 ! [V_a_H,V_b,V_a,T_a] :
% 203.96/204.24 ( class_Divides_Oring__div(T_a)
% 203.96/204.24 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 203.96/204.24 => 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) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_mod__minus__eq,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Divides_Oring__div(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__Suc__Suc,axiom,
% 203.96/204.24 ! [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)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_max__Suc__Suc,axiom,
% 203.96/204.24 ! [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)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_abs__minus__cancel,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( class_Orderings_Olinorder(T_a)
% 203.96/204.24 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_setsum__negf,axiom,
% 203.96/204.24 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.24 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Collect__neg__eq,axiom,
% 203.96/204.24 ! [V_Pa_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_Pa_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__0__le__iff__le,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_le__minus__self__iff,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__le__0__iff__le,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__le__self__iff,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_less__minus__self__iff,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__less__nonneg,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__less__0__iff__less,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_neg__0__less__iff__less,axiom,
% 203.96/204.24 ! [V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 203.96/204.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_right__minus,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 203.96/204.24 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_left__minus,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_ab__left__minus,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_minus__unique,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.24 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_diff__0,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_diff__def,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_ab__diff__minus,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oab__group__add(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_diff__minus__eq__add,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Ogroup__add(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Rings_Ocomm__ring__1(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Rings_Ocomm__ring__1(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_square__eq__1__iff,axiom,
% 203.96/204.24 ! [V_x_2,T_a] :
% 203.96/204.24 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 203.96/204.24 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.24 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.24 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__inf__bot,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_inf__compl__bot,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_diff__eq,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__top__eq,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__bot__eq,axiom,
% 203.96/204.24 ! [T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__sup,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__inf,axiom,
% 203.96/204.24 ! [V_y,V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_compl__sup__top,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_sup__compl__top,axiom,
% 203.96/204.24 ! [V_x,T_a] :
% 203.96/204.24 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.24 => 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) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nonzero__minus__divide__right,axiom,
% 203.96/204.24 ! [V_a,V_b,T_a] :
% 203.96/204.24 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.24 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.24 => 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)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nonzero__minus__divide__divide,axiom,
% 203.96/204.24 ! [V_a,V_b,T_a] :
% 203.96/204.24 ( class_Rings_Odivision__ring(T_a)
% 203.96/204.24 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.24 => 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) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_abs__ge__minus__self,axiom,
% 203.96/204.24 ! [V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.24 => 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))) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_abs__le__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_abs__leI,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_abs__le__D2,axiom,
% 203.96/204.24 ! [V_b,V_a,T_a] :
% 203.96/204.24 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 203.96/204.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_abs__less__iff,axiom,
% 203.96/204.24 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.24 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 203.96/204.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 203.96/204.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_subset__Compl__self__eq,axiom,
% 203.96/204.24 ! [V_A_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 203.96/204.24 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__empty__eq,axiom,
% 203.96/204.24 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__UNIV__eq,axiom,
% 203.96/204.24 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_finite__compl,axiom,
% 203.96/204.24 ! [V_A_2,T_a] :
% 203.96/204.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 203.96/204.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__disjoint,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__disjoint2,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_nat__minus__add__max,axiom,
% 203.96/204.24 ! [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) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__partition2,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__partition,axiom,
% 203.96/204.24 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__Int,axiom,
% 203.96/204.24 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 203.96/204.24
% 203.96/204.24 fof(fact_Compl__Un,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__atLeastAtMost,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 203.96/204.25 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__power__minus,axiom,
% 203.96/204.25 ! [V_n,V_a,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__Diff__eq,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Diff__eq,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Diff__Compl,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Ints__minus,axiom,
% 203.96/204.25 ! [V_a_2,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__eq,axiom,
% 203.96/204.25 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__lessThan,axiom,
% 203.96/204.25 ! [V_k_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__atLeast,axiom,
% 203.96/204.25 ! [V_k_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Collect__imp__eq,axiom,
% 203.96/204.25 ! [V_Qa_2,V_Pa_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_Pa_2))),hAPP(c_Set_OCollect(T_a),V_Qa_2)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__greaterThan,axiom,
% 203.96/204.25 ! [V_k_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__atMost,axiom,
% 203.96/204.25 ! [V_k_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__UN,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Compl__INT,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__minus__le__zero,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__of__nonpos,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__of__neg,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__if,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Groups_Oabs__if(T_a)
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_max__Suc2,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_max__Suc1,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_power__minus,axiom,
% 203.96/204.25 ! [V_n,V_a,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_disjoint__eq__subset__Compl,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_surj__Compl__image__subset,axiom,
% 203.96/204.25 ! [V_A_2,V_f_2,T_a,T_b] :
% 203.96/204.25 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Ofold__sup__insert,axiom,
% 203.96/204.25 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Oin__idem,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Ofold__inf__insert,axiom,
% 203.96/204.25 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Oin__idem,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Int__atLeastAtMostL1,axiom,
% 203.96/204.25 ! [V_d_2,V_b_2,V_a_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Int__atLeastAtMostR1,axiom,
% 203.96/204.25 ! [V_d_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__atLeastLessThan,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Int__atLeastAtMostL2,axiom,
% 203.96/204.25 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_b_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Int__atLeastAtMostR2,axiom,
% 203.96/204.25 ! [V_d_2,V_ca_2,V_a_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_d_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_OF__eq,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_OF__eq,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__greaterThan,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__lessThan,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__atLeast,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_image__uminus__atMost,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.25 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Pow__Compl,axiom,
% 203.96/204.25 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_a))))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_compl__unique,axiom,
% 203.96/204.25 ! [V_y,V_x,T_a] :
% 203.96/204.25 ( class_Lattices_Oboolean__algebra(T_a)
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__Suc2,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__Suc1,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 203.96/204.25 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 203.96/204.25 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),V_b_2))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Ofold1__belowI,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_fold1__below__iff,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 203.96/204.25 <=> ? [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 203.96/204.25 <=> ! [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_strict__below__fold1__iff,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 203.96/204.25 <=> ! [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_fold1__strict__below__iff,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 203.96/204.25 <=> ? [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max__insert,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min__insert,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Osubset__idem,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Osubset__idem,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max__Un,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min__Un,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Oinsert,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Oinsert,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_fold1__antimono,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Oinsert__remove,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.96/204.25 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Ounion__inter,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Ounion__disjoint,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Oinsert__remove,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.96/204.25 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Ounion__inter,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Ounion__disjoint,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Oeq__fold_H,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Oeq__fold_H,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__Min__eq__Max,axiom,
% 203.96/204.25 ! [V_S_2,T_a] :
% 203.96/204.25 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.25 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__Max__eq__Min,axiom,
% 203.96/204.25 ! [V_S_2,T_a] :
% 203.96/204.25 ( class_Groups_Olinordered__ab__group__add(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.25 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_dual__min,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => c_Orderings_Oord_Omin(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_dual__max,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => c_Orderings_Oord_Omax(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_max__ord__max,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Orderings_Oord(T_a)
% 203.96/204.25 => c_Orderings_Oord__class_Omax(T_a) = c_Orderings_Oord_Omax(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__ord__min,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Orderings_Oord(T_a)
% 203.96/204.25 => c_Orderings_Oord__class_Omin(T_a) = c_Orderings_Oord_Omin(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omin(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_negative__zle,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_negative__zless,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sup__nat__def,axiom,
% 203.96/204.25 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_inf__nat__def,axiom,
% 203.96/204.25 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmult__zminus,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zminus__zmod,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmod__zminus__zminus,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmod__zminus2,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zdiv__zminus__zminus,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zdiv__zminus2,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zminus__0,axiom,
% 203.96/204.25 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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zminus__zadd__distrib,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zadd__zminus__inverse2,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_negative__eq__positive,axiom,
% 203.96/204.25 ! [V_m_2,V_n_2] :
% 203.96/204.25 ( 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)
% 203.96/204.25 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.25 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_not__int__zless__negative,axiom,
% 203.96/204.25 ! [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)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmod__zminus2__not__zero,axiom,
% 203.96/204.25 ! [V_l,V_k] :
% 203.96/204.25 ( 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)
% 203.96/204.25 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmod__zminus1__not__zero,axiom,
% 203.96/204.25 ! [V_l,V_k] :
% 203.96/204.25 ( 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)
% 203.96/204.25 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_diff__int__def__symmetric,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_diff__int__def,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_int__zle__neg,axiom,
% 203.96/204.25 ! [V_m_2,V_n_2] :
% 203.96/204.25 ( 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))))
% 203.96/204.25 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.25 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_negative__zle__0,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__zminus__int,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmod__zminus2__eq__if,axiom,
% 203.96/204.25 ! [V_b,V_a] :
% 203.96/204.25 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zmod__zminus1__eq__if,axiom,
% 203.96/204.25 ! [V_b,V_a] :
% 203.96/204.25 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zabs__def,axiom,
% 203.96/204.25 ! [V_i] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.25 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.25 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_neg__zminus__int,axiom,
% 203.96/204.25 ! [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))))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_not__zle__0__negative,axiom,
% 203.96/204.25 ! [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))))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_negative__zless__0,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__mult__distrib__neg,axiom,
% 203.96/204.25 ! [V_z_H,V_z] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zdiv__zminus2__eq__if,axiom,
% 203.96/204.25 ! [V_a,V_b] :
% 203.96/204.25 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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)) )
% 203.96/204.25 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zdiv__zminus1__eq__if,axiom,
% 203.96/204.25 ! [V_a,V_b] :
% 203.96/204.25 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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)) )
% 203.96/204.25 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => 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)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.96/204.25 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = V_x_2 )
% 203.96/204.25 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omax(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Oclosed,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zminus__zminus,axiom,
% 203.96/204.25 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 203.96/204.25 ! [V_a_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 203.96/204.25 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 203.96/204.25 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = V_x_2 )
% 203.96/204.25 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__le__Sup,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_z3div__def,axiom,
% 203.96/204.25 ! [V_k,V_l] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 203.96/204.25 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 203.96/204.25 => 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))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_z3mod__def,axiom,
% 203.96/204.25 ! [V_k,V_l] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 203.96/204.25 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Oclosed,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__of__nat,axiom,
% 203.96/204.25 ! [V_k,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.25 => 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)))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.25 => 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)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 203.96/204.25 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.25 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 203.96/204.25 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.25 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max_Ohom__commute,axiom,
% 203.96/204.25 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.25 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__int__eq,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__eq__iff,axiom,
% 203.96/204.25 ! [V_z_2,V_w_2,T_a] :
% 203.96/204.25 ( class_Int_Oring__char__0(T_a)
% 203.96/204.25 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 203.96/204.25 <=> V_w_2 = V_z_2 ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__eq__0__iff,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Int_Oring__char__0(T_a)
% 203.96/204.25 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__0__eq__iff,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Int_Oring__char__0(T_a)
% 203.96/204.25 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 203.96/204.25 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__0,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__le__iff,axiom,
% 203.96/204.25 ! [V_z_2,V_w_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__less__iff,axiom,
% 203.96/204.25 ! [V_z_2,V_w_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__add,axiom,
% 203.96/204.25 ! [V_z,V_w,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__mult,axiom,
% 203.96/204.25 ! [V_z,V_w,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__1,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__diff,axiom,
% 203.96/204.25 ! [V_z,V_w,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__of__nat__eq,axiom,
% 203.96/204.25 ! [V_n,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__minus,axiom,
% 203.96/204.25 ! [V_z,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Ints__of__int,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__power,axiom,
% 203.96/204.25 ! [V_n,V_z,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__setsum,axiom,
% 203.96/204.25 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__setprod,axiom,
% 203.96/204.25 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.25 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.96/204.25 & class_Rings_Oring__1(T_a) )
% 203.96/204.25 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__le__0__iff,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__0__le__iff,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__0__less__iff,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__less__0__iff,axiom,
% 203.96/204.25 ! [V_z_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__nat__nat,axiom,
% 203.96/204.25 ! [V_z,T_a] :
% 203.96/204.25 ( class_Rings_Oring__1(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 203.96/204.25 => 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) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min_Ohom__commute,axiom,
% 203.96/204.25 ! [V_N_2,V_h_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 203.96/204.25 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.25 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_negD,axiom,
% 203.96/204.25 ! [V_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.25 => ? [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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__if,axiom,
% 203.96/204.25 ! [V_x,T_a] :
% 203.96/204.25 ( class_Groups_Osgn__if(T_a)
% 203.96/204.25 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 203.96/204.25 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__1__neg,axiom,
% 203.96/204.25 ! [V_a_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__sgn,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__0__0,axiom,
% 203.96/204.25 ! [V_a_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn0,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Groups_Osgn__if(T_a)
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__times,axiom,
% 203.96/204.25 ! [V_b,V_a,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__less,axiom,
% 203.96/204.25 ! [V_a_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__greater,axiom,
% 203.96/204.25 ! [V_a_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Osgn__class_Osgn(T_a,V_a_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__sgn,axiom,
% 203.96/204.25 ! [V_k,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mult__sgn__abs,axiom,
% 203.96/204.25 ! [V_x,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__1__pos,axiom,
% 203.96/204.25 ! [V_a_2,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__pos,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zsgn__def,axiom,
% 203.96/204.25 ! [V_i] :
% 203.96/204.25 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.25 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 203.96/204.25 => 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)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_sgn__neg,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osize_I13_J,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osize_I5_J,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_fold__image__1,axiom,
% 203.96/204.25 ! [V_f_2,V_S_2,T_a,T_b] :
% 203.96/204.25 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.25 => ( ! [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 203.96/204.25 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 203.96/204.25 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_card_Oneutral,axiom,
% 203.96/204.25 ! [V_A_2,T_a] :
% 203.96/204.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.25 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_evalc_OIfFalse,axiom,
% 203.96/204.25 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 203.96/204.25 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_evalc_OIfTrue,axiom,
% 203.96/204.25 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 203.96/204.25 ( hBOOL(hAPP(V_b_2,V_s_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_evalc__elim__cases_I5_J,axiom,
% 203.96/204.25 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 203.96/204.25 ( 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))
% 203.96/204.25 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 203.96/204.25 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 203.96/204.25 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 203.96/204.25 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I4_J,axiom,
% 203.96/204.25 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 203.96/204.25 ( 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)
% 203.96/204.25 <=> ( V_fun_2 = V_fun_H_2
% 203.96/204.25 & V_com1_2 = V_com1_H_2
% 203.96/204.25 & V_com2_2 = V_com2_H_2 ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_evalc_Oequations_I5_J,axiom,
% 203.96/204.25 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 203.96/204.25 ( 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))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 203.96/204.25 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_evalc_Oequations_I6_J,axiom,
% 203.96/204.25 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 203.96/204.25 ( 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))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 203.96/204.25 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I53_J,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I52_J,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I45_J,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I44_J,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I15_J,axiom,
% 203.96/204.25 ! [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 ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I14_J,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_com_Osimps_I68_J,axiom,
% 203.96/204.25 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_a] : c_Com_Ocom_Ocom__case(T_a,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 203.96/204.25 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ! [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b_2),V_ca_2))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 203.96/204.25 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ! [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_ca_2),V_A_2))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mod__induct__0,axiom,
% 203.96/204.25 ! [V_i_2,V_Pa_2,V_p_2] :
% 203.96/204.25 ( ! [B_i] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 203.96/204.25 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 203.96/204.25 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 203.96/204.25 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 203.96/204.25 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_InterI,axiom,
% 203.96/204.25 ! [V_A_2,V_C_2,T_a] :
% 203.96/204.25 ( ! [B_X] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) )
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_fold__image__cong,axiom,
% 203.96/204.25 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 203.96/204.25 ( class_Groups_Oab__semigroup__mult(T_b)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ! [B_x] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.25 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 203.96/204.25 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Min__eqI,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ! [B_y] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_y)) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Max__eqI,axiom,
% 203.96/204.25 ! [V_x_2,V_A_2,T_a] :
% 203.96/204.25 ( class_Orderings_Olinorder(T_a)
% 203.96/204.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.25 => ( ! [B_y] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_y),V_x_2)) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.25 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_expand__Suc,axiom,
% 203.96/204.25 ! [V_v] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__eq,axiom,
% 203.96/204.25 ! [V_k,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__int__number__of__eq,axiom,
% 203.96/204.25 ! [V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__nat__number__of__eq,axiom,
% 203.96/204.25 ! [V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__reorient,axiom,
% 203.96/204.25 ! [V_x_2,V_w_2,T_a] :
% 203.96/204.25 ( class_Int_Onumber(T_a)
% 203.96/204.25 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = V_x_2
% 203.96/204.25 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_eq__number__of,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Int_Oring__char__0(T_a) )
% 203.96/204.25 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 203.96/204.25 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_of__nat__number__of__lemma,axiom,
% 203.96/204.25 ! [V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => ( ( 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)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => 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) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__number__of__eq__not__less,axiom,
% 203.96/204.25 ! [V_w_2,V_v_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber(T_a)
% 203.96/204.25 & class_Orderings_Olinorder(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_right__distrib__number__of,axiom,
% 203.96/204.25 ! [V_c,V_b,V_v,T_b] :
% 203.96/204.25 ( ( class_Int_Onumber(T_b)
% 203.96/204.25 & class_Rings_Osemiring(T_b) )
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_left__distrib__number__of,axiom,
% 203.96/204.25 ! [V_v,V_b,V_a,T_b] :
% 203.96/204.25 ( ( class_Int_Onumber(T_b)
% 203.96/204.25 & class_Rings_Osemiring(T_b) )
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_left__diff__distrib__number__of,axiom,
% 203.96/204.25 ! [V_v,V_b,V_a,T_b] :
% 203.96/204.25 ( ( class_Int_Onumber(T_b)
% 203.96/204.25 & class_Rings_Oring(T_b) )
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_right__diff__distrib__number__of,axiom,
% 203.96/204.25 ! [V_c,V_b,V_v,T_b] :
% 203.96/204.25 ( ( class_Int_Onumber(T_b)
% 203.96/204.25 & class_Rings_Oring(T_b) )
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__number__of,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__number__of,axiom,
% 203.96/204.25 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__number__of,axiom,
% 203.96/204.25 ! [V_v,V_u,T_b] :
% 203.96/204.25 ( ( class_Int_Onumber(T_b)
% 203.96/204.25 & class_Orderings_Oord(T_b) )
% 203.96/204.25 => ( ( 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)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => 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) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_max__number__of,axiom,
% 203.96/204.25 ! [V_v,V_u,T_b] :
% 203.96/204.25 ( ( class_Int_Onumber(T_b)
% 203.96/204.25 & class_Orderings_Oord(T_b) )
% 203.96/204.25 => ( ( 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)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => 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) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__number__of__left,axiom,
% 203.96/204.25 ! [V_z,V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__number__of__eq,axiom,
% 203.96/204.25 ! [V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__add,axiom,
% 203.96/204.25 ! [V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mult__number__of__left,axiom,
% 203.96/204.25 ! [V_z,V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_arith__simps_I32_J,axiom,
% 203.96/204.25 ! [V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__mult,axiom,
% 203.96/204.25 ! [V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__diff,axiom,
% 203.96/204.25 ! [V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_arith__simps_I30_J,axiom,
% 203.96/204.25 ! [V_w,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__minus,axiom,
% 203.96/204.25 ! [V_w,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Ints__number__of,axiom,
% 203.96/204.25 ! [V_w_2,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__eq__eq__number__of1,axiom,
% 203.96/204.25 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_a_2
% 203.96/204.25 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) )
% 203.96/204.25 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__eq__eq__number__of,axiom,
% 203.96/204.25 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)
% 203.96/204.25 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) )
% 203.96/204.25 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_eq__divide__eq__number__of,axiom,
% 203.96/204.25 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 203.96/204.25 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) = V_b_2 )
% 203.96/204.25 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_eq__divide__eq__number__of1,axiom,
% 203.96/204.25 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))
% 203.96/204.25 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_b_2 )
% 203.96/204.25 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.25 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__number__of__diff1,axiom,
% 203.96/204.25 ! [V_c,V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__number__of__mult,axiom,
% 203.96/204.25 ! [V_z,V_w,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_diff__number__of__eq,axiom,
% 203.96/204.25 ! [V_w,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__less__eq__number__of1,axiom,
% 203.96/204.25 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__less__eq__number__of,axiom,
% 203.96/204.25 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__divide__eq__number__of,axiom,
% 203.96/204.25 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__divide__eq__number__of1,axiom,
% 203.96/204.25 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_abs__number__of,axiom,
% 203.96/204.25 ! [V_x,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( ( 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)))
% 203.96/204.25 => 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)) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => 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) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__number__of__diff2,axiom,
% 203.96/204.25 ! [V_w,V_c,V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__divide__eq__number__of1,axiom,
% 203.96/204.25 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__divide__eq__number__of,axiom,
% 203.96/204.25 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__le__eq__number__of,axiom,
% 203.96/204.25 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__le__eq__number__of1,axiom,
% 203.96/204.25 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 203.96/204.25 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_one__mod__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 203.96/204.25 => 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)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 203.96/204.25 => 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))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_one__div__nat__number__of,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_power__number__of__odd__number__of,axiom,
% 203.96/204.25 ! [V_v_2,V_w_2,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => ( ( 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)))
% 203.96/204.25 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)))),c_COMBI(T_a))) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_power__nat__number__of,axiom,
% 203.96/204.25 ! [V_n,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_neg__number__of__Bit1,axiom,
% 203.96/204.25 ! [V_w_2] :
% 203.96/204.25 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 203.96/204.25 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_plus__numeral__code_I9_J,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_times__numeral__code_I5_J,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__is__id,axiom,
% 203.96/204.25 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__number__of__int__code,axiom,
% 203.96/204.25 ! [V_l_2,V_k_2] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__eq__number__of__int__code,axiom,
% 203.96/204.25 ! [V_l_2,V_k_2] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__numeral__code_I5_J,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I51_J,axiom,
% 203.96/204.25 ! [V_l_2,V_k_2] :
% 203.96/204.25 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 203.96/204.25 <=> V_k_2 = V_l_2 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__int__code_I16_J,axiom,
% 203.96/204.25 ! [V_k2_2,V_k1_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I17_J,axiom,
% 203.96/204.25 ! [V_l_2,V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I34_J,axiom,
% 203.96/204.25 ! [V_l_2,V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__eq__int__code_I16_J,axiom,
% 203.96/204.25 ! [V_k2_2,V_k1_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_int__number__of__def,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_bin__less__0__simps_I4_J,axiom,
% 203.96/204.25 ! [V_w_2] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Bit1__def,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__def,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__Bit1,axiom,
% 203.96/204.25 ! [V_w_2] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 203.96/204.25 => 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)))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__Bit1,axiom,
% 203.96/204.25 ! [V_w,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_power__number__of__odd,axiom,
% 203.96/204.25 ! [V_z_2,V_w_2,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => ( ( 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)))
% 203.96/204.25 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2))),c_COMBI(T_a))) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zpower__number__of__odd,axiom,
% 203.96/204.25 ! [V_z_2,V_w_2] :
% 203.96/204.25 ( ( 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)))
% 203.96/204.25 => 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))) )
% 203.96/204.25 & ( ~ 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)))
% 203.96/204.25 => 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) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__numeral__code_I6_J,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_neg__imp__number__of__eq__0,axiom,
% 203.96/204.25 ! [V_v] :
% 203.96/204.25 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_int__eq__iff__number__of,axiom,
% 203.96/204.25 ! [V_v_2,V_m_2] :
% 203.96/204.25 ( 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)
% 203.96/204.25 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 203.96/204.25 & 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))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_eq__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H_2,V_v_2] :
% 203.96/204.25 ( 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)
% 203.96/204.25 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 203.96/204.25 => 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))) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 203.96/204.25 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 203.96/204.25 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__add__left,axiom,
% 203.96/204.25 ! [V_k,V_v_H,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 203.96/204.25 => 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) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_int__nat__number__of,axiom,
% 203.96/204.25 ! [V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mod__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 203.96/204.25 => 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))) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_div__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_power__nat__number__of__number__of,axiom,
% 203.96/204.25 ! [V_w,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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)) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Suc__nat__number__of__add,axiom,
% 203.96/204.25 ! [V_n,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.25 => 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) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_diff__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_2,V_v_H_2] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__number__of__Suc,axiom,
% 203.96/204.25 ! [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)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_min__Suc__number__of,axiom,
% 203.96/204.25 ! [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)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I46_J,axiom,
% 203.96/204.25 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I39_J,axiom,
% 203.96/204.25 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_succ__Pls,axiom,
% 203.96/204.25 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Pls__def,axiom,
% 203.96/204.25 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I19_J,axiom,
% 203.96/204.25 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I2_J,axiom,
% 203.96/204.25 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_succ__pred,axiom,
% 203.96/204.25 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__Pls__right,axiom,
% 203.96/204.25 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__Pls,axiom,
% 203.96/204.25 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 203.96/204.25
% 203.96/204.25 fof(fact_diff__bin__simps_I1_J,axiom,
% 203.96/204.25 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mult__Pls,axiom,
% 203.96/204.25 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__Pls,axiom,
% 203.96/204.25 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 203.96/204.25
% 203.96/204.25 fof(fact_semiring__norm_I112_J,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__Pls,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__numeral__0,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__numeral__0__right,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_bin__less__0__simps_I1_J,axiom,
% 203.96/204.25 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__Pls,axiom,
% 203.96/204.25 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_semiring__norm_I113_J,axiom,
% 203.96/204.25 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_zero__is__num__zero,axiom,
% 203.96/204.25 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I22_J,axiom,
% 203.96/204.25 ! [V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I12_J,axiom,
% 203.96/204.25 ! [V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Suc__diff__number__of,axiom,
% 203.96/204.25 ! [V_m,V_v] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_not__neg__number__of__Pls,axiom,
% 203.96/204.25 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__1__add__number__of,axiom,
% 203.96/204.25 ! [V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__add__1,axiom,
% 203.96/204.25 ! [V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__iff__pred__less,axiom,
% 203.96/204.25 ! [V_l_2,V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_minus__Bit1,axiom,
% 203.96/204.25 ! [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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_pred__def,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__diff__1,axiom,
% 203.96/204.25 ! [V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mult__numeral__1__right,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mult__numeral__1,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__Numeral0,axiom,
% 203.96/204.25 ! [V_x,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.25 & class_Int_Onumber__ring(T_a) )
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_numeral__1__eq__1,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_semiring__norm_I110_J,axiom,
% 203.96/204.25 ! [T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_eq__0__number__of,axiom,
% 203.96/204.25 ! [V_v_2] :
% 203.96/204.25 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_eq__number__of__0,axiom,
% 203.96/204.25 ! [V_v_2] :
% 203.96/204.25 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of2,axiom,
% 203.96/204.25 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))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I5_J,axiom,
% 203.96/204.25 ! [V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_rel__simps_I29_J,axiom,
% 203.96/204.25 ! [V_k_2] :
% 203.96/204.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H_2,V_v_2] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 203.96/204.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__numeral__1,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield(T_a)
% 203.96/204.25 & class_Int_Onumber__ring(T_a) )
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_divide__Numeral1,axiom,
% 203.96/204.25 ! [V_x,T_a] :
% 203.96/204.25 ( ( class_Fields_Ofield(T_a)
% 203.96/204.25 & class_Int_Onumber__ring(T_a) )
% 203.96/204.25 => 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 ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H_2,V_v_2] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 203.96/204.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_one__is__num__one,axiom,
% 203.96/204.25 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__numeral__1__eq__1,axiom,
% 203.96/204.25 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Numeral1__eq1__nat,axiom,
% 203.96/204.25 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 203.96/204.25 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_succ__def,axiom,
% 203.96/204.25 ! [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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__special_I1_J,axiom,
% 203.96/204.25 ! [V_y_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__special_I3_J,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__special_I3_J,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__special_I1_J,axiom,
% 203.96/204.25 ! [V_y_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__0__number__of,axiom,
% 203.96/204.25 ! [V_v_2] :
% 203.96/204.25 ( 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)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_numeral__3__eq__3,axiom,
% 203.96/204.25 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)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_numeral__1__eq__Suc__0,axiom,
% 203.96/204.25 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)) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_power3__eq__cube,axiom,
% 203.96/204.25 ! [V_a,T_a] :
% 203.96/204.25 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.25 => 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) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 203.96/204.25 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))))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Suc3__eq__add__3,axiom,
% 203.96/204.25 ! [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) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 203.96/204.25 => 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)) ) ) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 203.96/204.25 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)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 203.96/204.25 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)))) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__succ,axiom,
% 203.96/204.25 ! [V_k,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_number__of__pred,axiom,
% 203.96/204.25 ! [V_w,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__special_I4_J,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_le__special_I2_J,axiom,
% 203.96/204.25 ! [V_y_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__special_I4_J,axiom,
% 203.96/204.25 ! [V_x_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_less__special_I2_J,axiom,
% 203.96/204.25 ! [V_y_2,T_a] :
% 203.96/204.25 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 203.96/204.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__special_I3_J,axiom,
% 203.96/204.25 ! [V_v,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_add__special_I2_J,axiom,
% 203.96/204.25 ! [V_w,T_a] :
% 203.96/204.25 ( class_Int_Onumber__ring(T_a)
% 203.96/204.25 => 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)) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 203.96/204.25 ! [V_m,V_n] :
% 203.96/204.25 ( 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))
% 203.96/204.25 => 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)))) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_mult__nat__number__of,axiom,
% 203.96/204.25 ! [V_v_H,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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)) ) ) ).
% 203.96/204.25
% 203.96/204.25 fof(fact_nat__number__of__mult__left,axiom,
% 203.96/204.25 ! [V_k,V_v_H,V_v] :
% 203.96/204.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.25 => 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) )
% 203.96/204.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 203.96/204.26 => 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) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_neg__number__of__pred__iff__0,axiom,
% 203.96/204.26 ! [V_v_2] :
% 203.96/204.26 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 203.96/204.26 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__div__eq__add3__div,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__Suc__eq__div__add3,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__special_I2_J,axiom,
% 203.96/204.26 ! [V_v,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__special_I1_J,axiom,
% 203.96/204.26 ! [V_w,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__eq__number__of,axiom,
% 203.96/204.26 ! [V_v_2,V_n_2] :
% 203.96/204.26 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 203.96/204.26 <=> 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__number__of__Suc,axiom,
% 203.96/204.26 ! [V_n_2,V_v_2] :
% 203.96/204.26 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 203.96/204.26 <=> 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__case__number__of,axiom,
% 203.96/204.26 ! [V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__Suc__number__of,axiom,
% 203.96/204.26 ! [V_v_2,V_n_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 <=> 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__number__of__Suc,axiom,
% 203.96/204.26 ! [V_n_2,V_v_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 <=> 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_le__Suc__number__of,axiom,
% 203.96/204.26 ! [V_v_2,V_n_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 <=> 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_le__number__of__Suc,axiom,
% 203.96/204.26 ! [V_n_2,V_v_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 <=> 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__nat__number__of,axiom,
% 203.96/204.26 ! [V_v] :
% 203.96/204.26 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.26 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__Suc__number__of,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__number__of__Suc,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__case__add__eq__if,axiom,
% 203.96/204.26 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__rec__add__eq__if,axiom,
% 203.96/204.26 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__special_I4_J,axiom,
% 203.96/204.26 ! [V_x_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.26 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__special_I2_J,axiom,
% 203.96/204.26 ! [V_y_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ( c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 203.96/204.26 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__rec__number__of,axiom,
% 203.96/204.26 ! [V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_iszero__0,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_iszero__def,axiom,
% 203.96/204.26 ! [V_z_2,T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => ( c_Int_Oiszero(T_a,V_z_2)
% 203.96/204.26 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_not__iszero__1,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__rec__0,axiom,
% 203.96/204.26 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__rec__Suc,axiom,
% 203.96/204.26 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),V_nat_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_iszero__Numeral0,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_iszero__number__of__Bit1,axiom,
% 203.96/204.26 ! [V_w,T_a] :
% 203.96/204.26 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 & class_Int_Oring__char__0(T_a) )
% 203.96/204.26 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_not__iszero__Numeral1,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__number__of__eq,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 203.96/204.26 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__special_I3_J,axiom,
% 203.96/204.26 ! [V_x_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.26 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__special_I1_J,axiom,
% 203.96/204.26 ! [V_y_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 203.96/204.26 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmod__number__of__Bit1,axiom,
% 203.96/204.26 ! [V_v,V_w] :
% 203.96/204.26 ( ( 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)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ 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)))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_neg__zmod__mult__2,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_arith__series__int,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_neg__zdiv__mult__2,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I50_J,axiom,
% 203.96/204.26 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I49_J,axiom,
% 203.96/204.26 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I31_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__eq__int__code_I13_J,axiom,
% 203.96/204.26 ! [V_k2_2,V_k1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__int__code_I13_J,axiom,
% 203.96/204.26 ! [V_k2_2,V_k1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I14_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__Bit0__Bit0,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Bit0__def,axiom,
% 203.96/204.26 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__Bit0,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I48_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 203.96/204.26 <=> V_k_2 = V_l_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I7_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_minus__Bit0,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I44_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 203.96/204.26 <=> V_k_2 = c_Int_OPls ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I38_J,axiom,
% 203.96/204.26 ! [V_l_2] :
% 203.96/204.26 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 203.96/204.26 <=> c_Int_OPls = V_l_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Bit0__Pls,axiom,
% 203.96/204.26 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 203.96/204.26
% 203.96/204.26 fof(fact_bin__less__0__simps_I3_J,axiom,
% 203.96/204.26 ! [V_w_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I27_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I21_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__eq__int__code_I14_J,axiom,
% 203.96/204.26 ! [V_k2_2,V_k1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I32_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I10_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I4_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__int__code_I15_J,axiom,
% 203.96/204.26 ! [V_k2_2,V_k1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I16_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__Bit1__Bit0,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__Bit0__Bit1,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I3_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I10_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I9_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zdiv__number__of__Bit0,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_neg__number__of__Bit0,axiom,
% 203.96/204.26 ! [V_w_2] :
% 203.96/204.26 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 203.96/204.26 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pred__Bit0,axiom,
% 203.96/204.26 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pred__Bit1,axiom,
% 203.96/204.26 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_iszero__number__of__Bit0,axiom,
% 203.96/204.26 ! [V_w_2,T_a] :
% 203.96/204.26 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 & class_Int_Oring__char__0(T_a) )
% 203.96/204.26 => ( c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w_2)))
% 203.96/204.26 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_succ__Bit1,axiom,
% 203.96/204.26 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_succ__Bit0,axiom,
% 203.96/204.26 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__number__of__Bit0,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_number__of__Bit0,axiom,
% 203.96/204.26 ! [V_w,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I15_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__int__code_I14_J,axiom,
% 203.96/204.26 ! [V_k2_2,V_k1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I33_J,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__eq__int__code_I15_J,axiom,
% 203.96/204.26 ! [V_k2_2,V_k1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_card__UNIV__bool,axiom,
% 203.96/204.26 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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__Bit1,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I8_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__Bit1__Bit1,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__number__of__even,axiom,
% 203.96/204.26 ! [V_w_2,V_z_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zpower__number__of__even,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_double__number__of__Bit0,axiom,
% 203.96/204.26 ! [V_w,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_number__of1,axiom,
% 203.96/204.26 ! [V_n] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( 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))))
% 203.96/204.26 & 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 203.96/204.26 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__number__of__even__number__of,axiom,
% 203.96/204.26 ! [V_w_2,V_v_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__2,axiom,
% 203.96/204.26 ! [V_z,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__2__right,axiom,
% 203.96/204.26 ! [V_z,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_one__add__one__is__two,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zero__eq__power2,axiom,
% 203.96/204.26 ! [V_a_2,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 203.96/204.26 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zero__power2,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_numeral__2__eq__2,axiom,
% 203.96/204.26 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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_semiring__norm_I115_J,axiom,
% 203.96/204.26 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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 203.96/204.26 ! [V_x,T_a] :
% 203.96/204.26 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__eq__square,axiom,
% 203.96/204.26 ! [V_a,T_a] :
% 203.96/204.26 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 203.96/204.26 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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__2__eq__Suc,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__2__eq__Suc_H,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_one__power2,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__minus,axiom,
% 203.96/204.26 ! [V_a,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__mult__2,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__mult__2__right,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__even__eq,axiom,
% 203.96/204.26 ! [V_n,V_a,T_a] :
% 203.96/204.26 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 203.96/204.26 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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 203.96/204.26 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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_abs__power2,axiom,
% 203.96/204.26 ! [V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__abs,axiom,
% 203.96/204.26 ! [V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__1__add__1,axiom,
% 203.96/204.26 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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod2__Suc__Suc,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div2__Suc__Suc,axiom,
% 203.96/204.26 ! [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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmod__number__of__Bit0,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__self__div__2,axiom,
% 203.96/204.26 ! [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 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_half__gt__zero__iff,axiom,
% 203.96/204.26 ! [V_r_2,T_a] :
% 203.96/204.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.26 & class_Int_Onumber__ring(T_a) )
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_half__gt__zero,axiom,
% 203.96/204.26 ! [V_r,T_a] :
% 203.96/204.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 203.96/204.26 & class_Int_Onumber__ring(T_a) )
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 203.96/204.26 => 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)))))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zero__le__power2,axiom,
% 203.96/204.26 ! [V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => 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)))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__le__imp__le,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.26 => ( 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))))))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__eq__imp__eq,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.26 => ( 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))))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.26 => V_x = V_y ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zero__less__power2,axiom,
% 203.96/204.26 ! [V_a_2,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 203.96/204.26 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__less__0,axiom,
% 203.96/204.26 ! [V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ~ 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sum__power2__eq__zero__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.26 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.26 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__eq__square__number__of,axiom,
% 203.96/204.26 ! [V_w,T_b] :
% 203.96/204.26 ( ( class_Groups_Omonoid__mult(T_b)
% 203.96/204.26 & class_Int_Onumber(T_b) )
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__2__cases,axiom,
% 203.96/204.26 ! [V_n] :
% 203.96/204.26 ( 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)))))
% 203.96/204.26 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__2,axiom,
% 203.96/204.26 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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__eq__1__iff,axiom,
% 203.96/204.26 ! [V_a_2,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 203.96/204.26 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.26 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a)
% 203.96/204.26 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 203.96/204.26 ! [V_n,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__minus__even,axiom,
% 203.96/204.26 ! [V_n,V_a,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__less__imp__less,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__semidom(T_a)
% 203.96/204.26 => ( 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))))))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sum__power2__ge__zero,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => 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))))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sum__power2__le__zero__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.26 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.26 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sum__power2__gt__zero__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 203.96/204.26 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 203.96/204.26 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_not__sum__power2__lt__zero,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ~ 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__sum,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zero__le__even__power_H,axiom,
% 203.96/204.26 ! [V_n,V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__odd__eq,axiom,
% 203.96/204.26 ! [V_n,V_a,T_a] :
% 203.96/204.26 ( class_Groups_Omonoid__mult(T_a)
% 203.96/204.26 => 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 203.96/204.26 ! [V_n,V_x,T_a] :
% 203.96/204.26 ( class_Rings_Ocomm__semiring__1(T_a)
% 203.96/204.26 => 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__minus1__even,axiom,
% 203.96/204.26 ! [V_n,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zdiv__number__of__Bit1,axiom,
% 203.96/204.26 ! [V_v,V_w] :
% 203.96/204.26 ( ( 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)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ 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)))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod2__gr__0,axiom,
% 203.96/204.26 ! [V_m_2] :
% 203.96/204.26 ( 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))))))
% 203.96/204.26 <=> 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__2__gt__zero,axiom,
% 203.96/204.26 ! [V_n] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 203.96/204.26 => 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)))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power2__diff,axiom,
% 203.96/204.26 ! [V_y,V_x,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 203.96/204.26 ! [V_n,V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ( 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)))))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_odd__power__less__zero,axiom,
% 203.96/204.26 ! [V_n,V_a,T_a] :
% 203.96/204.26 ( class_Rings_Olinordered__idom(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 203.96/204.26 => 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))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__minus1__odd,axiom,
% 203.96/204.26 ! [V_n,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 203.96/204.26 ! [V_n] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.26 => 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)))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_of__nat__double,axiom,
% 203.96/204.26 ! [V_x,T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 203.96/204.26 => 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))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pos__zmod__mult__2,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pos__zdiv__mult__2,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_int__of__code,axiom,
% 203.96/204.26 ! [V_k] :
% 203.96/204.26 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 203.96/204.26 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.26 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 203.96/204.26 => ( ( 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)
% 203.96/204.26 => 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)))))) )
% 203.96/204.26 & ( 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)
% 203.96/204.26 => 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)) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_of__int__num,axiom,
% 203.96/204.26 ! [V_k_2,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1(T_a)
% 203.96/204.26 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = c_Groups_Ozero__class_Ozero(T_a) )
% 203.96/204.26 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),T_a),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),tc_Int_Oint),c_COMBB(tc_fun(T_a,T_a),T_a,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,T_a),T_a),tc_Int_Oint),c_HOL_OLet(T_a,T_a)),c_Int_Oring__1__class_Oof__int(T_a)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),tc_Int_Oint),c_COMBS(T_a,T_a,T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),tc_Int_Oint),c_COMBB(T_a,tc_fun(T_a,T_a),T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Oplus__class_Oplus(T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a)))),c_Groups_Oone__class_Oone(T_a))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__m1__odd,axiom,
% 203.96/204.26 ! [V_n,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_power__m1__even,axiom,
% 203.96/204.26 ! [V_n,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I42_J,axiom,
% 203.96/204.26 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I45_J,axiom,
% 203.96/204.26 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I40_J,axiom,
% 203.96/204.26 c_Int_OMin != c_Int_OPls ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I37_J,axiom,
% 203.96/204.26 c_Int_OPls != c_Int_OMin ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I7_J,axiom,
% 203.96/204.26 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I24_J,axiom,
% 203.96/204.26 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral__zero__minus__one,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Bit1__Min,axiom,
% 203.96/204.26 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I43_J,axiom,
% 203.96/204.26 ! [V_l_2] :
% 203.96/204.26 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 203.96/204.26 <=> c_Int_OMin = V_l_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I47_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 203.96/204.26 <=> V_k_2 = c_Int_OMin ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_bin__less__0__simps_I2_J,axiom,
% 203.96/204.26 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I23_J,axiom,
% 203.96/204.26 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I20_J,axiom,
% 203.96/204.26 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I26_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I30_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I6_J,axiom,
% 203.96/204.26 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I3_J,axiom,
% 203.96/204.26 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I9_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I13_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I28_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I8_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__number__of__Pls__Min,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Int_OMin__def,axiom,
% 203.96/204.26 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__Min,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_neg__number__of__Min,axiom,
% 203.96/204.26 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pred__Pls,axiom,
% 203.96/204.26 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__Min,axiom,
% 203.96/204.26 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add__Min__right,axiom,
% 203.96/204.26 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pred__Min,axiom,
% 203.96/204.26 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nonzero__number__of__Min,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_succ__Min,axiom,
% 203.96/204.26 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I2_J,axiom,
% 203.96/204.26 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__minus1,axiom,
% 203.96/204.26 ! [V_z,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult__minus1__right,axiom,
% 203.96/204.26 ! [V_z,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_number__of__Min,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_arith__simps_I31_J,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_abs__minus__one,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divide__minus1,axiom,
% 203.96/204.26 ! [V_x,T_a] :
% 203.96/204.26 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.26 & class_Int_Onumber__ring(T_a) )
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I11_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rel__simps_I25_J,axiom,
% 203.96/204.26 ! [V_k_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmod__minus1__right,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I4_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_minus__Min,axiom,
% 203.96/204.26 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmult__eq__1__iff,axiom,
% 203.96/204.26 ! [V_n_2,V_m_2] :
% 203.96/204.26 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 203.96/204.26 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 203.96/204.26 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 203.96/204.26 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 203.96/204.26 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 203.96/204.26 ! [V_n,V_m] :
% 203.96/204.26 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 203.96/204.26 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 203.96/204.26 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I6_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_diff__bin__simps_I5_J,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_of__int__m1,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zdiv__minus1__right,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zero__code__numeral__code,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_minus1__divide,axiom,
% 203.96/204.26 ! [V_x,T_a] :
% 203.96/204.26 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 203.96/204.26 & class_Int_Onumber__ring(T_a) )
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_abs__power__minus__one,axiom,
% 203.96/204.26 ! [V_n,T_a] :
% 203.96/204.26 ( ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 & class_Rings_Olinordered__idom(T_a) )
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__eq__minus1,axiom,
% 203.96/204.26 ! [V_b] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__pos__neg__trivial,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 => 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) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmod__minus1,axiom,
% 203.96/204.26 ! [V_b] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_one__code__numeral__code,axiom,
% 203.96/204.26 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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nitpick_OFrac__def,axiom,
% 203.96/204.26 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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_int__ge__less__than__def,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_int__ge__less__than2__def,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nitpick_Oprod__def,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,T_b,T_a] : c_Nitpick_Oprod(T_a,T_b,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__of__aux__code,axiom,
% 203.96/204.26 ! [V_n,V_i] :
% 203.96/204.26 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 203.96/204.26 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 203.96/204.26 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__rel__def,axiom,
% 203.96/204.26 ! [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))))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__correct,axiom,
% 203.96/204.26 ! [V_a,V_b] :
% 203.96/204.26 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmult2__lemma,axiom,
% 203.96/204.26 ! [V_c,V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Osize_I1_J,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nats__number__of,axiom,
% 203.96/204.26 ! [V_w_2,T_a] :
% 203.96/204.26 ( class_Int_Onumber__ring(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pred__equals__eq2,axiom,
% 203.96/204.26 ! [V_S_2,V_R_2,T_b,T_a] :
% 203.96/204.26 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)
% 203.96/204.26 <=> V_R_2 = V_S_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pred__subset__eq2,axiom,
% 203.96/204.26 ! [V_S_2,V_R_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_bot__empty__eq2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sup__Un__eq2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inf__Int__eq2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__rel__0,axiom,
% 203.96/204.26 ! [V_b] :
% 203.96/204.26 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_self__remainder,axiom,
% 203.96/204.26 ! [V_r,V_q,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_unique__quotient,axiom,
% 203.96/204.26 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => V_q = V_q_H ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_unique__remainder,axiom,
% 203.96/204.26 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => V_r = V_r_H ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_SUP__UN__eq2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c))))),V_r_2)),V_x_2),V_y_2))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_INF__INT__eq2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c))))),V_r_2)),V_x_2),V_y_2))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_self__quotient,axiom,
% 203.96/204.26 ! [V_r,V_q,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__rel__mod,axiom,
% 203.96/204.26 ! [V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__rel__div,axiom,
% 203.96/204.26 ! [V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nats__0,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__mod__div,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nats__add,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nats__mult,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nats__1,axiom,
% 203.96/204.26 ! [T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_of__nat__in__Nats,axiom,
% 203.96/204.26 ! [V_n_2,T_a] :
% 203.96/204.26 ( class_Rings_Osemiring__1(T_a)
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__rel__div__mod,axiom,
% 203.96/204.26 ! [V_a,V_b] :
% 203.96/204.26 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zadd1__lemma,axiom,
% 203.96/204.26 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zminus1__lemma,axiom,
% 203.96/204.26 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__relI,axiom,
% 203.96/204.26 ! [V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)
% 203.96/204.26 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 203.96/204.26 => 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))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_zmult1__lemma,axiom,
% 203.96/204.26 ! [V_a,V_r,V_q,V_c,V_b] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__imageI,axiom,
% 203.96/204.26 ! [V_f_2,T_c,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),V_A_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_norm__frac_Osimps,axiom,
% 203.96/204.26 ! [V_a_2,V_b_2] :
% 203.96/204.26 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.26 => 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))) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_adjust__eq,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sup2E,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 203.96/204.26 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sup2CI,axiom,
% 203.96/204.26 ! [T_b,T_a,V_A_2,V_y_2,V_x_2,V_B_2] :
% 203.96/204.26 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inf2I,axiom,
% 203.96/204.26 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inf2E,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 203.96/204.26 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 203.96/204.26 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mem__splitI,axiom,
% 203.96/204.26 ! [T_c,T_b,V_b_2,V_a_2,V_ca_2,V_z_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_prod__caseI,axiom,
% 203.96/204.26 ! [T_b,T_a,V_b_2,V_a_2,V_f1_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_splitI,axiom,
% 203.96/204.26 ! [T_b,T_a,V_b_2,V_a_2,V_f_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_bot2E,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_b,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_splitD_H,axiom,
% 203.96/204.26 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_c,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_ca_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sup2I1,axiom,
% 203.96/204.26 ! [V_B_2,T_b,T_a,V_y_2,V_x_2,V_A_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_sup2I2,axiom,
% 203.96/204.26 ! [V_A_2,T_b,T_a,V_y_2,V_x_2,V_B_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inf2D1,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inf2D2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__by__empty,axiom,
% 203.96/204.26 ! [V_B_2,T_a,V_A_2] :
% 203.96/204.26 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rev__predicate2D,axiom,
% 203.96/204.26 ! [V_Qa_2,T_b,T_a,V_y_2,V_x_2,V_Pa_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_predicate2D,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__paired__All,axiom,
% 203.96/204.26 ! [T_b,T_a,V_Pa_2] :
% 203.96/204.26 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 203.96/204.26 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Pair__eq,axiom,
% 203.96/204.26 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.26 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)
% 203.96/204.26 <=> ( V_a_2 = V_a_H_2
% 203.96/204.26 & V_b_2 = V_b_H_2 ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Pair__inject,axiom,
% 203.96/204.26 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 203.96/204.26 ( 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)
% 203.96/204.26 => ~ ( V_a = V_a_H
% 203.96/204.26 => V_b != V_b_H ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__weak__cong,axiom,
% 203.96/204.26 ! [V_ca_2,T_c,T_b,T_a,V_q_2,V_p_2] :
% 203.96/204.26 ( V_p_2 = V_q_2
% 203.96/204.26 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_q_2) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__twice,axiom,
% 203.96/204.26 ! [V_p_2,V_g_2,T_e,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_b,T_c)),tc_fun(T_e,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2))),V_g_2)),V_p_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_prod_Osimps_I2_J,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__conv,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_splitD,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__eta,axiom,
% 203.96/204.26 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,T_c),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),T_c,T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b))) = V_f_2 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_The__split__eq,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__paired__The,axiom,
% 203.96/204.26 ! [V_Pa_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),V_Pa_2) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_Pa_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_adjust__def,axiom,
% 203.96/204.26 ! [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))))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_in__rel__def,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__mod__code__numeral__def,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 203.96/204.26 ! [V_w] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( 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))))
% 203.96/204.26 => 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))) )
% 203.96/204.26 & ( ~ 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))))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg__correct,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg__div__mod,axiom,
% 203.96/204.26 ! [V_l,V_k] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg__minus1,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg_Osimps,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( ( ( 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)))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ ( 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)))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg__eqn__number__of,axiom,
% 203.96/204.26 ! [V_w,V_v] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( 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))))
% 203.96/204.26 => 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))) )
% 203.96/204.26 & ( ~ 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))))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg__eqn,axiom,
% 203.96/204.26 ! [V_a,V_b] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => ( ( 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)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ 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)))
% 203.96/204.26 => 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))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Nitpick_Orefl_H__def,axiom,
% 203.96/204.26 ! [V_r_2,T_a] :
% 203.96/204.26 ( c_Nitpick_Orefl_H(T_a,V_r_2)
% 203.96/204.26 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 203.96/204.26 ! [V_w] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( 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)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ 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)))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg_Osimps,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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) )
% 203.96/204.26 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg__0,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg__correct,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg__div__mod,axiom,
% 203.96/204.26 ! [V_l,V_k] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg__eqn,axiom,
% 203.96/204.26 ! [V_a,V_b] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 203.96/204.26 => 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) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 203.96/204.26 => 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))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg__eqn__number__of,axiom,
% 203.96/204.26 ! [V_w,V_v] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( 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)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ 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)))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__def,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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))) ) ) ) ) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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))) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__step,axiom,
% 203.96/204.26 ! [V_m,V_n] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__pdivmod,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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) )
% 203.96/204.26 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)))) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negateSnd__def,axiom,
% 203.96/204.26 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apsnd__conv,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__zero,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__base,axiom,
% 203.96/204.26 ! [V_n,V_m] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 203.96/204.26 => 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negateSnd__eq,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__div__mod,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__rel__neg,axiom,
% 203.96/204.26 ! [V_qr,V_b,V_a] :
% 203.96/204.26 ( 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))
% 203.96/204.26 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__if,axiom,
% 203.96/204.26 ! [V_m_2,V_n_2] :
% 203.96/204.26 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 203.96/204.26 => 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) )
% 203.96/204.26 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pdivmod__def,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pdivmod__posDivAlg,axiom,
% 203.96/204.26 ! [V_k,V_l] :
% 203.96/204.26 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__int__code,axiom,
% 203.96/204.26 ! [V_l_2,V_k_2] :
% 203.96/204.26 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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) )
% 203.96/204.26 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 => 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)))) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 203.96/204.26 ! [V_a,V_r,V_q,V_c,V_b] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 203.96/204.26 => 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 203.96/204.26 ! [V_c,V_r,V_q,V_b,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg_Opsimps,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( ( 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)))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ ( 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)))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel__unique,axiom,
% 203.96/204.26 ! [V_qr_H,V_qr,V_n,V_m] :
% 203.96/204.26 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 203.96/204.26 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 203.96/204.26 => V_qr = V_qr_H ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__eq,axiom,
% 203.96/204.26 ! [V_qr,V_n,V_m] :
% 203.96/204.26 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 203.96/204.26 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 203.96/204.26 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__def,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__eq,axiom,
% 203.96/204.26 ! [V_r,V_q,V_n,V_m] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__eq,axiom,
% 203.96/204.26 ! [V_r,V_q,V_n,V_m] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel,axiom,
% 203.96/204.26 ! [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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 203.96/204.26 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 203.96/204.26 => 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)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg_Opsimps,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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) )
% 203.96/204.26 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_norm__frac_Opsimps,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.26 => 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)) )
% 203.96/204.26 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 203.96/204.26 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 203.96/204.26 => 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))) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_negDivAlg_Opinduct,axiom,
% 203.96/204.26 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ! [B_a,B_b] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( ~ ( 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)))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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))) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_posDivAlg_Opinduct,axiom,
% 203.96/204.26 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ! [B_a,B_b] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 203.96/204.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 203.96/204.26 => 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))) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_accp__subset,axiom,
% 203.96/204.26 ! [V_R2_2,V_R1_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__pos__neg__1__number__of,axiom,
% 203.96/204.26 ! [V_w] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_snd__conv,axiom,
% 203.96/204.26 ! [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 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_snd__eqD,axiom,
% 203.96/204.26 ! [V_a,V_y,V_x,T_a,T_b] :
% 203.96/204.26 ( 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
% 203.96/204.26 => V_y = V_a ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_snd__def,axiom,
% 203.96/204.26 ! [V_p_2,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_a),hAPP(c_COMBK(tc_fun(T_a,T_a),T_b),c_COMBI(T_a))),V_p_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apsnd__eq__conv,axiom,
% 203.96/204.26 ! [V_g_2,V_x_2,V_f_2,T_a,T_b,T_c] :
% 203.96/204.26 ( hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_g_2),V_x_2)
% 203.96/204.26 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_snd__apsnd,axiom,
% 203.96/204.26 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapsnd(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__int__def,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_accp_Osimps,axiom,
% 203.96/204.26 ! [V_a_2,V_r_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 203.96/204.26 <=> ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 203.96/204.26 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_accp_Oequations,axiom,
% 203.96/204.26 ! [V_a_2,V_r_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 203.96/204.26 <=> ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 203.96/204.26 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_accp__downward,axiom,
% 203.96/204.26 ! [V_a_2,V_b_2,V_r_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 203.96/204.26 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__neg__pos,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__pos__pos,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__pos__pos__1__number__of,axiom,
% 203.96/204.26 ! [V_w] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__pos__neg,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__neg__neg,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__gcd_Opsimps,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 203.96/204.26 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 => 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)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat_Osize_I2_J,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_in__measure,axiom,
% 203.96/204.26 ! [V_f_2,V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)))
% 203.96/204.26 <=> 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mod__nat__def,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat_Osize_I1_J,axiom,
% 203.96/204.26 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_norm__frac_Opinduct,axiom,
% 203.96/204.26 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ! [B_a,B_b] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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))) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__pos__neg__1__number__of,axiom,
% 203.96/204.26 ! [V_w] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => 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))))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__def,axiom,
% 203.96/204.26 ! [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)))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_prod__eqI,axiom,
% 203.96/204.26 ! [V_q,V_p,T_b,T_a] :
% 203.96/204.26 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 203.96/204.26 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 203.96/204.26 => V_p = V_q ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Pair__fst__snd__eq,axiom,
% 203.96/204.26 ! [T_b,T_a,V_t_2,V_s_2] :
% 203.96/204.26 ( V_s_2 = V_t_2
% 203.96/204.26 <=> ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_t_2)
% 203.96/204.26 & hAPP(c_Product__Type_Osnd(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_t_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_fst__conv,axiom,
% 203.96/204.26 ! [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 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_fst__eqD,axiom,
% 203.96/204.26 ! [V_a,V_y,V_x,T_b,T_a] :
% 203.96/204.26 ( 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
% 203.96/204.26 => V_x = V_a ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Rep__Integ__inject,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2] :
% 203.96/204.26 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 203.96/204.26 <=> V_x_2 = V_y_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_fst__def,axiom,
% 203.96/204.26 ! [V_p_2,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_a),c_COMBK(T_a,T_b)),V_p_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_fst__apsnd,axiom,
% 203.96/204.26 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_a,T_c),V_x_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_surjective__pairing,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__collapse,axiom,
% 203.96/204.26 ! [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 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_prod__case__beta,axiom,
% 203.96/204.26 ! [V_p_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__int__def,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__beta,axiom,
% 203.96/204.26 ! [V_z_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_z_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_z_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__comp__eq,axiom,
% 203.96/204.26 ! [V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),tc_prod(T_a,T_b)),V_f_2),hAPP(hAPP(c_COMBB(T_a,T_d,tc_prod(T_a,T_b)),V_g_2),c_Product__Type_Ofst(T_a,T_b)))),c_Product__Type_Osnd(T_a,T_b)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),T_a),V_f_2),V_g_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_split__def,axiom,
% 203.96/204.26 ! [V_p_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_The__split,axiom,
% 203.96/204.26 ! [V_Pa_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_Pa_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__neg__pos,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__pos__pos,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__pos__pos__1__number__of,axiom,
% 203.96/204.26 ! [V_w] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__pos__neg,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__neg__neg,axiom,
% 203.96/204.26 ! [V_b,V_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 203.96/204.26 => 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)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_prod__size__simp,axiom,
% 203.96/204.26 ! [V_p_2,V_g_2,V_f_2,T_b,T_a] : c_Product__Type_Oprod_Oprod__size(T_a,T_b,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_conjI__realizer,axiom,
% 203.96/204.26 ! [T_b,T_a,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 203.96/204.26 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 203.96/204.26 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 203.96/204.26 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2))))
% 203.96/204.26 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_exI__realizer,axiom,
% 203.96/204.26 ! [T_a,T_b,V_x_2,V_y_2,V_Pa_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_div__nat__def,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_divmod__nat__rel__def,axiom,
% 203.96/204.26 ! [V_qr_2,V_n_2,V_m_2] :
% 203.96/204.26 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 203.96/204.26 <=> ( 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))
% 203.96/204.26 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 203.96/204.26 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 & 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)) ) )
% 203.96/204.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 203.96/204.26 => ( 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)))
% 203.96/204.26 & 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))) ) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__gcd_Opinduct,axiom,
% 203.96/204.26 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ! [B_x,B_y] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mlex__leq,axiom,
% 203.96/204.26 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Osize_I2_J,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Oinject,axiom,
% 203.96/204.26 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 203.96/204.26 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 203.96/204.26 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 203.96/204.26 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Suc__code__numeral__minus__one,axiom,
% 203.96/204.26 ! [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 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mlex__less,axiom,
% 203.96/204.26 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 203.96/204.26 ( 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)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Osize_I4_J,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_finite__psubset__def,axiom,
% 203.96/204.26 ! [T_a] : c_Wellfounded_Ofinite__psubset(T_a) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_a)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat_Osize_I4_J,axiom,
% 203.96/204.26 ! [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))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat__size,axiom,
% 203.96/204.26 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat_Osize_I3_J,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_code__numeral_Osize_I3_J,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_in__finite__psubset,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_a)))
% 203.96/204.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.26 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_prod_Orecs,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_in__lex__prod,axiom,
% 203.96/204.26 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))
% 203.96/204.26 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_H_2)),V_r_2))
% 203.96/204.26 | ( V_a_2 = V_a_H_2
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apfst__apsnd,axiom,
% 203.96/204.26 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_fst__apfst,axiom,
% 203.96/204.26 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apfst__eq__conv,axiom,
% 203.96/204.26 ! [V_g_2,V_x_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.26 ( hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_g_2),V_x_2)
% 203.96/204.26 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apfst__conv,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_snd__apfst,axiom,
% 203.96/204.26 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapfst(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_c,T_a),V_x_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apsnd__apfst__commute,axiom,
% 203.96/204.26 ! [V_p_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,V_g_2),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_d,V_f_2),V_p_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_apsnd__apfst,axiom,
% 203.96/204.26 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_x_2))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_same__fstI,axiom,
% 203.96/204.26 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_Pa_2] :
% 203.96/204.26 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__lessI2,axiom,
% 203.96/204.26 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__ext__additive,axiom,
% 203.96/204.26 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__lessI1,axiom,
% 203.96/204.26 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__extp__max__ext__eq,axiom,
% 203.96/204.26 ! [V_xa_2,V_x_2,V_R_2,T_a] :
% 203.96/204.26 ( c_Wellfounded_Omax__extp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_R_2),V_x_2,V_xa_2)
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__leqI2,axiom,
% 203.96/204.26 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_smax__insertI,axiom,
% 203.96/204.26 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => 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)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_smax__emptyI,axiom,
% 203.96/204.26 ! [V_Y_2] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 203.96/204.26 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 203.96/204.26 => 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)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__strict__def,axiom,
% 203.96/204.26 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__leqI1,axiom,
% 203.96/204.26 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_wmin__insertI,axiom,
% 203.96/204.26 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => 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)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_wmax__insertI,axiom,
% 203.96/204.26 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => 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)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_smin__insertI,axiom,
% 203.96/204.26 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => ( 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))
% 203.96/204.26 => 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)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_wmin__emptyI,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_smin__emptyI,axiom,
% 203.96/204.26 ! [V_X_2] :
% 203.96/204.26 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_wmax__emptyI,axiom,
% 203.96/204.26 ! [V_X_2] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 203.96/204.26 => 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__weak__def,axiom,
% 203.96/204.26 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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_min__weak__def,axiom,
% 203.96/204.26 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)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_min__rpair__set,axiom,
% 203.96/204.26 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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_max__rpair__set,axiom,
% 203.96/204.26 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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_min__strict__def,axiom,
% 203.96/204.26 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less__than__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2] :
% 203.96/204.26 ( 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))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_intrel__iff,axiom,
% 203.96/204.26 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 203.96/204.26 ( 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))
% 203.96/204.26 <=> 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) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rp__inv__image__rp,axiom,
% 203.96/204.26 ! [V_f_2,T_b,V_Pa_2,T_a] :
% 203.96/204.26 ( c_FunDef_Oreduction__pair(T_a,V_Pa_2)
% 203.96/204.26 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_FunDef_Orp__inv__image(T_a,T_b),V_Pa_2),V_f_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pair__less__def,axiom,
% 203.96/204.26 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mlex__prod__def,axiom,
% 203.96/204.26 ! [V_R_2,V_f_2,T_a] : c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_a),T_a),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(tc_Nat_Onat,T_a)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_prod(tc_Nat_Onat,T_a)),T_a),c_Product__Type_OPair(tc_Nat_Onat,T_a)),V_f_2)),c_COMBI(T_a))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rp__inv__image__def,axiom,
% 203.96/204.26 ! [T_b,T_a] : c_FunDef_Orp__inv__image(T_a,T_b) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_COMBS(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(T_b,T_a)),c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),c_Relation_Oinv__image(T_a,T_b))))),c_Relation_Oinv__image(T_a,T_b))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__intrel__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2] :
% 203.96/204.26 ( 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))))
% 203.96/204.26 <=> 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)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_measure__def,axiom,
% 203.96/204.26 ! [T_a] : c_Wellfounded_Omeasure(T_a) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_a),c_Wellfounded_Oless__than) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__singleton,axiom,
% 203.96/204.26 ! [V_a_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_a))),hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2))),V_r_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__singleton__iff,axiom,
% 203.96/204.26 ! [V_a_2,V_r_2,T_b,V_b_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inv__image__def,axiom,
% 203.96/204.26 ! [V_f_2,V_r_2,T_a,T_b] : hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_b,T_b)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),T_a),c_COMBB(T_b,tc_prod(T_b,T_b),T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_prod(T_b,T_b)),T_a),c_Product__Type_OPair(T_b,T_b)),V_f_2))),V_f_2)))),V_r_2))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__empty,axiom,
% 203.96/204.26 ! [V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__Un,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__UN,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,T_c,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__Int__subset,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__mono,axiom,
% 203.96/204.26 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Un__Image,axiom,
% 203.96/204.26 ! [V_A_2,V_S_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_S_2),V_A_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_in__inv__image,axiom,
% 203.96/204.26 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__INT__subset,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,T_c,V_r_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__iff,axiom,
% 203.96/204.26 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 203.96/204.26 <=> ? [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_rev__ImageI,axiom,
% 203.96/204.26 ! [V_r_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__eq__UN,axiom,
% 203.96/204.26 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_of__int,axiom,
% 203.96/204.26 ! [V_j_2,V_i_2,T_a] :
% 203.96/204.26 ( class_Rings_Oring__1(T_a)
% 203.96/204.26 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_j_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_One__int__def,axiom,
% 203.96/204.26 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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mult,axiom,
% 203.96/204.26 ! [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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Rep__Integ__inverse,axiom,
% 203.96/204.26 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 203.96/204.26
% 203.96/204.26 fof(fact_minus,axiom,
% 203.96/204.26 ! [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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Zero__int__def,axiom,
% 203.96/204.26 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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_int__def,axiom,
% 203.96/204.26 ! [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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_add,axiom,
% 203.96/204.26 ! [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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_nat,axiom,
% 203.96/204.26 ! [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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_minus__int__def,axiom,
% 203.96/204.26 ! [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))))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_less,axiom,
% 203.96/204.26 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 203.96/204.26 ( 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)))))))
% 203.96/204.26 <=> 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_le,axiom,
% 203.96/204.26 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 203.96/204.26 ( 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)))))))
% 203.96/204.26 <=> 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))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_irrefl__def,axiom,
% 203.96/204.26 ! [V_r_2,T_a] :
% 203.96/204.26 ( c_Relation_Oirrefl(T_a,V_r_2)
% 203.96/204.26 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__Abs__Integ,axiom,
% 203.96/204.26 ! [V_z_2] :
% 203.96/204.26 ~ ! [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))))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Field__insert,axiom,
% 203.96/204.26 ! [V_r_2,V_b_2,V_a_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_a),V_r_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Field__Union,axiom,
% 203.96/204.26 ! [V_R_2,T_a] : hAPP(c_Relation_OField(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a)),V_R_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Field__empty,axiom,
% 203.96/204.26 ! [T_a] : hAPP(c_Relation_OField(T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_mono__Field,axiom,
% 203.96/204.26 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Field__Un,axiom,
% 203.96/204.26 ! [V_s_2,V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_finite__Field,axiom,
% 203.96/204.26 ! [V_r_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 203.96/204.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_OField(T_a),V_r_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Id__on__def,axiom,
% 203.96/204.26 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__def,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),c_Relation_OImage(T_a,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_ImageE,axiom,
% 203.96/204.26 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 203.96/204.26 => ~ ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2))
% 203.96/204.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__empty,axiom,
% 203.96/204.26 ! [V_r_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__is__empty2,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)
% 203.96/204.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__is__empty,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 203.96/204.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Id__on__def_H,axiom,
% 203.96/204.26 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),c_fequal))),V_A_2)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Id__on__empty,axiom,
% 203.96/204.26 ! [T_a] : c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Image__Id__on,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotientI,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,V_x_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Id__on__eqI,axiom,
% 203.96/204.26 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 203.96/204.26 ( V_a_2 = V_b_2
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Id__on__iff,axiom,
% 203.96/204.26 ! [V_A_2,V_y_2,V_x_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2)))
% 203.96/204.26 <=> ( V_x_2 = V_y_2
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_singleton__quotient,axiom,
% 203.96/204.26 ! [V_r_2,V_x_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__class__nondisjoint,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_subset__equiv__class,axiom,
% 203.96/204.26 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotientE,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,V_X_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ~ ! [B_x] :
% 203.96/204.26 ( V_X_2 = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.26 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__intrel,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Union__quotient,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = V_A_2 ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__class__self,axiom,
% 203.96/204.26 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__disj,axiom,
% 203.96/204.26 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( V_X_2 = V_Y_2
% 203.96/204.26 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__class__eq,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.26 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__eq__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 203.96/204.26 => ( V_X_2 = V_Y_2
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_quotient__eqI,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.26 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__equiv__class,axiom,
% 203.96/204.26 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_a] :
% 203.96/204.26 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.26 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__equiv__class__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 203.96/204.26 => ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__class__eq__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.26 <=> ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equiv__class__subset,axiom,
% 203.96/204.26 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__equiv__class__iff2,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 203.96/204.26 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_UN__equiv__class2,axiom,
% 203.96/204.26 ! [V_a2_2,V_a1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 203.96/204.26 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a1_2),V_A1_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a2_2),V_A2_2))
% 203.96/204.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_UN__equiv__class,axiom,
% 203.96/204.26 ! [V_a_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equivp__equiv,axiom,
% 203.96/204.26 ! [V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_A_2)
% 203.96/204.26 <=> c_Equiv__Relations_Oequivp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_A_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equivp__transp,axiom,
% 203.96/204.26 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equivp__symp,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_R_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equivp__reflp,axiom,
% 203.96/204.26 ! [V_x_2,V_R_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 203.96/204.26 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_equivp__def,axiom,
% 203.96/204.26 ! [V_R_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 203.96/204.26 <=> ! [B_x,B_y] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 203.96/204.26 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_identity__equivp,axiom,
% 203.96/204.26 ! [T_a] : c_Equiv__Relations_Oequivp(T_a,c_fequal) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_congruent2__implies__congruent,axiom,
% 203.96/204.26 ! [V_a_2,V_f_2,V_r2_2,T_c,T_b,V_r1_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r1_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.26 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_congruent2D,axiom,
% 203.96/204.26 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_c,T_b,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y1_2),V_z1_2)),V_r1_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y2_2),V_z2_2)),V_r2_2))
% 203.96/204.26 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_congruentD,axiom,
% 203.96/204.26 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2))
% 203.96/204.26 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_congruent2__implies__congruent__UN,axiom,
% 203.96/204.26 ! [V_a_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 203.96/204.26 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A2_2))
% 203.96/204.26 => c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_c,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_UN__equiv__class__inject,axiom,
% 203.96/204.26 ! [V_Y_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 203.96/204.26 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Y_2),V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.26 => ! [B_y] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 203.96/204.26 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) ) ) )
% 203.96/204.26 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_UN__equiv__class__type2,axiom,
% 203.96/204.26 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 203.96/204.26 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A1_2),V_r1_2)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A2_2),V_r2_2)))
% 203.96/204.26 => ( ! [B_x1] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x1),V_A1_2))
% 203.96/204.26 => ! [B_x2] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x2),V_A2_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_UN__equiv__class__type,axiom,
% 203.96/204.26 ! [V_B_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.26 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.26 => ( ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Integ__def,axiom,
% 203.96/204.26 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) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_card__quotient__disjoint,axiom,
% 203.96/204.26 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.26 => ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 203.96/204.26 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Id__onE,axiom,
% 203.96/204.26 ! [V_A_2,V_ca_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_ca_2),c_Relation_OId__on(T_a,V_A_2)))
% 203.96/204.26 => ~ ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.26 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__empty,axiom,
% 203.96/204.26 ! [V_f_2,T_b,T_a] : c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__uminus,axiom,
% 203.96/204.26 ! [V_A_2,T_a] :
% 203.96/204.26 ( class_Groups_Oordered__ab__group__add(T_a)
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a),V_A_2) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.26 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 203.96/204.26 <=> V_A_2 = V_B_2 ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__id2,axiom,
% 203.96/204.26 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__diff,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__def,axiom,
% 203.96/204.26 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 <=> ! [B_x] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.26 => ! [B_xa] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 203.96/204.26 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 203.96/204.26 => B_x = B_xa ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_subset__inj__on,axiom,
% 203.96/204.26 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__Int,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__contraD,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => ( V_x_2 != V_y_2
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 203.96/204.26 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__iff,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 203.96/204.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 203.96/204.26 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__onD,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 203.96/204.26 => V_x_2 = V_y_2 ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_finite__imageD,axiom,
% 203.96/204.26 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 203.96/204.26 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2)
% 203.96/204.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__image__eq__iff,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 203.96/204.26 <=> V_A_2 = V_B_2 ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_injD,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 203.96/204.26 => V_x_2 = V_y_2 ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__eq,axiom,
% 203.96/204.26 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 203.96/204.26 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__fun,axiom,
% 203.96/204.26 ! [T_c,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => c_Fun_Oinj__on(T_a,tc_fun(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_b),T_a),c_COMBK(T_b,T_c)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_card__image,axiom,
% 203.96/204.26 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__strict__subset,axiom,
% 203.96/204.26 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_range__ex1__eq,axiom,
% 203.96/204.26 ! [V_b_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))))
% 203.96/204.26 <=> ? [B_x] :
% 203.96/204.26 ( V_b_2 = hAPP(V_f_2,B_x)
% 203.96/204.26 & ! [B_y] :
% 203.96/204.26 ( V_b_2 = hAPP(V_f_2,B_y)
% 203.96/204.26 => B_y = B_x ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__image__mem__iff,axiom,
% 203.96/204.26 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__iff__surj,axiom,
% 203.96/204.26 ! [V_A_H_2,T_b,T_a,V_A_2] :
% 203.96/204.26 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.26 => ( ? [B_f] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 203.96/204.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_A_H_2)) )
% 203.96/204.26 <=> ? [B_g] : hAPP(c_Set_Oimage(T_b,T_a,B_g),V_A_H_2) = V_A_2 ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_finite__surj__inj,axiom,
% 203.96/204.26 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)))
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_endo__inj__surj,axiom,
% 203.96/204.26 ! [V_f_2,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)),V_A_2))
% 203.96/204.26 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2)
% 203.96/204.26 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_finite__UNIV__surj__inj,axiom,
% 203.96/204.26 ! [V_f_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.26 => ( hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_finite__UNIV__inj__surj,axiom,
% 203.96/204.26 ! [V_f_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.26 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__image__subset__iff,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)))
% 203.96/204.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__image__Int,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.96/204.26 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_image__Int,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__iff__eq__card,axiom,
% 203.96/204.26 ! [V_f_2,T_b,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.26 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 <=> hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_eq__card__imp__inj__on,axiom,
% 203.96/204.26 ! [V_f_2,T_b,V_A_2,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.26 => ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2)
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__image__set__diff,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 203.96/204.26 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_image__set__diff,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_pigeonhole,axiom,
% 203.96/204.26 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 203.96/204.26 => ~ c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__fun__updI,axiom,
% 203.96/204.26 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.26 => c_Fun_Oinj__on(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__singleton,axiom,
% 203.96/204.26 ! [T_a] : c_Fun_Oinj__on(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_Rep__Integ,axiom,
% 203.96/204.26 ! [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)) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_card__bij__eq,axiom,
% 203.96/204.26 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 203.96/204.26 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2)
% 203.96/204.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.96/204.26 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__image__Compl__subset,axiom,
% 203.96/204.26 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__insert,axiom,
% 203.96/204.26 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))
% 203.96/204.26 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ).
% 203.96/204.26
% 203.96/204.26 fof(fact_inj__on__Un,axiom,
% 203.96/204.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.26 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.26 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.26 & c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.26 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__iff__card__le,axiom,
% 203.96/204.27 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.96/204.27 => ( ? [B_f] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_B_2)) )
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_card__inj__on__le,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_quotient__diff1,axiom,
% 203.96/204.27 ! [V_a_2,V_A_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.27 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_image__INT,axiom,
% 203.96/204.27 ! [V_j_2,V_B_2,V_A_2,T_c,V_C_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_j_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition__Integ,axiom,
% 203.96/204.27 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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__into__into,axiom,
% 203.96/204.27 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__add__nat,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__Suc,axiom,
% 203.96/204.27 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__of__nat,axiom,
% 203.96/204.27 ! [T_a] :
% 203.96/204.27 ( class_Nat_Osemiring__char__0(T_a)
% 203.96/204.27 => c_Fun_Oinj__on(tc_Nat_Onat,T_a,c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__int,axiom,
% 203.96/204.27 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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_swap__inj__on,axiom,
% 203.96/204.27 ! [V_A_2,T_b,T_a] : c_Fun_Oinj__on(tc_prod(T_a,T_b),tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_b,T_a)),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))),V_A_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__into__f__eq,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.27 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__into__f__f,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.27 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__f__f,axiom,
% 203.96/204.27 ! [V_x_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.27 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__the__inv__into,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__into__onto,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => hAPP(c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__graph,axiom,
% 203.96/204.27 ! [T_b,T_a] : c_Fun_Oinj__on(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Set_OCollect(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool)),hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__into__def,axiom,
% 203.96/204.27 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_f__the__inv__into__f,axiom,
% 203.96/204.27 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.27 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_OAbs__image,axiom,
% 203.96/204.27 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => hAPP(c_Set_Oimage(T_b,T_a,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_ORep__range,axiom,
% 203.96/204.27 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => hAPP(c_Set_Oimage(T_a,T_b,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_ORep,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_ORep__inverse,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_ORep__inject,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 203.96/204.27 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_OAbs__inject,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 203.96/204.27 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 203.96/204.27 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_type__definition_OAbs__inverse,axiom,
% 203.96/204.27 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 203.96/204.27 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 203.96/204.27 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__vimage__singleton,axiom,
% 203.96/204.27 ! [V_a_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 203.96/204.27 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_accp__acc__eq,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimageI,axiom,
% 203.96/204.27 ! [T_b,V_B_2,T_a,V_b_2,V_a_2,V_f_2] :
% 203.96/204.27 ( hAPP(V_f_2,V_a_2) = V_b_2
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_B_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__UNIV,axiom,
% 203.96/204.27 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__empty,axiom,
% 203.96/204.27 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Un,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Int,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__mono,axiom,
% 203.96/204.27 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__code,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2),V_x_2))
% 203.96/204.27 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Compl,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__ident,axiom,
% 203.96/204.27 ! [V_Y_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__INT,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Collect__eq,axiom,
% 203.96/204.27 ! [V_Pa_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),V_Pa_2),V_f_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__UN,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Diff,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimageI2,axiom,
% 203.96/204.27 ! [T_b,V_A_2,V_a_2,V_f_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_a_2)),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimageD,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__eq,axiom,
% 203.96/204.27 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_image__vimage__subset,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))),V_A_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_surj__image__vimage__eq,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_a,T_b] :
% 203.96/204.27 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = V_A_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__def,axiom,
% 203.96/204.27 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(T_b)),V_f_2)),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Union,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_a,T_b,V_f_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc__subset,axiom,
% 203.96/204.27 ! [V_R2_2,V_R1_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__singleton__eq,axiom,
% 203.96/204.27 ! [V_b_2,V_f_2,T_b,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 203.96/204.27 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__insert,axiom,
% 203.96/204.27 ! [V_B_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__vimageD,axiom,
% 203.96/204.27 ! [V_F_2,V_h_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_F_2)))
% 203.96/204.27 => ( hAPP(c_Set_Oimage(T_a,T_b,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__subsetD,axiom,
% 203.96/204.27 ! [V_A_2,V_B_2,V_f_2,T_a,T_b] :
% 203.96/204.27 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2)),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_image__vimage__eq,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__vimageI,axiom,
% 203.96/204.27 ! [V_h_2,T_b,V_F_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_b,T_a,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_a,V_h_2),V_F_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__vimage__image__eq,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__const,axiom,
% 203.96/204.27 ! [T_b,V_A_2,V_ca_2,T_a] :
% 203.96/204.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__eq__UN,axiom,
% 203.96/204.27 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_Ovimage(T_a,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc_Osimps,axiom,
% 203.96/204.27 ! [V_r_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 203.96/204.27 <=> ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc__downward,axiom,
% 203.96/204.27 ! [V_a_2,V_r_2,V_b_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__subsetI,axiom,
% 203.96/204.27 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__if,axiom,
% 203.96/204.27 ! [V_B_2,T_b,V_d_2,V_A_2,V_ca_2,T_a] :
% 203.96/204.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.96/204.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 203.96/204.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 203.96/204.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) )
% 203.96/204.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 203.96/204.27 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 203.96/204.27 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__def,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBC(T_c,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_a,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_c),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_a,T_c)))),c_Product__Type_OPair(T_a,T_c)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_s_2))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_max__extp_Oequations,axiom,
% 203.96/204.27 ! [V_a2_2,V_a1_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2)
% 203.96/204.27 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 203.96/204.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 203.96/204.27 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 & ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 203.96/204.27 => ? [B_xa] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_max__ext_Ointros,axiom,
% 203.96/204.27 ! [V_R_2,V_Y_2,V_X_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2))
% 203.96/204.27 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2))
% 203.96/204.27 => ? [B_xa] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__compI,axiom,
% 203.96/204.27 ! [V_s_2,V_ca_2,T_c,V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_b_2),V_ca_2)),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__UNION__distrib2,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,V_I_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_d),c_Relation_Orel__comp(T_a,T_c,T_b)),V_r_2)),V_s_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__UNION__distrib,axiom,
% 203.96/204.27 ! [V_r_2,V_I_2,T_d,V_s_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d),hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2)),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__empty1,axiom,
% 203.96/204.27 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__empty2,axiom,
% 203.96/204.27 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__distrib2,axiom,
% 203.96/204.27 ! [V_R_2,V_T_2,V_S_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_T_2),V_R_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__distrib,axiom,
% 203.96/204.27 ! [V_T_2,V_S_2,V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_T_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__mono,axiom,
% 203.96/204.27 ! [V_s_2,V_s_H_2,T_c,V_r_2,V_r_H_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_O__assoc,axiom,
% 203.96/204.27 ! [V_T_2,V_S_2,V_R_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_c),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_b),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_c,T_b),V_S_2),V_T_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_union__comp__emptyL,axiom,
% 203.96/204.27 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.27 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.27 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_union__comp__emptyR,axiom,
% 203.96/204.27 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.27 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.27 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_max__ext__compat,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_min__ext__compat,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_a,V_R_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pred__comp__rel__comp__eq,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_s_2)),V_x_2),V_y_2))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reduction__pairI,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_R_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 203.96/204.27 => c_FunDef_Oreduction__pair(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__less__than,axiom,
% 203.96/204.27 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pred__comp_Ointros,axiom,
% 203.96/204.27 ! [T_c,T_b,T_a,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__empty,axiom,
% 203.96/204.27 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__inv__image,axiom,
% 203.96/204.27 ! [V_f_2,T_b,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__lex__prod,axiom,
% 203.96/204.27 ! [V_rb_2,T_b,V_ra_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_ra_2)
% 203.96/204.27 => ( c_Wellfounded_Owf(T_b,V_rb_2)
% 203.96/204.27 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__measure,axiom,
% 203.96/204.27 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__comp__self,axiom,
% 203.96/204.27 ! [V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_R_2)
% 203.96/204.27 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_min__ext__wf,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__mlex,axiom,
% 203.96/204.27 ! [V_f_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_R_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__subset,axiom,
% 203.96/204.27 ! [V_p_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_p_2),V_r_2))
% 203.96/204.27 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__Int1,axiom,
% 203.96/204.27 ! [V_r_H_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__Int2,axiom,
% 203.96/204.27 ! [V_r_H_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pred__comp_Oequations,axiom,
% 203.96/204.27 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 203.96/204.27 <=> ? [B_b] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 203.96/204.27 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__finite__psubset,axiom,
% 203.96/204.27 ! [T_a] : c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__pair__less,axiom,
% 203.96/204.27 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_max__ext__wf,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__less,axiom,
% 203.96/204.27 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)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__irrefl,axiom,
% 203.96/204.27 ! [V_a_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__asym,axiom,
% 203.96/204.27 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__not__sym,axiom,
% 203.96/204.27 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__not__refl,axiom,
% 203.96/204.27 ! [V_a_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__int__ge__less__than,axiom,
% 203.96/204.27 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__int__ge__less__than2,axiom,
% 203.96/204.27 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc__wfD,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__acc__iff,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__no__loop,axiom,
% 203.96/204.27 ! [V_R_2,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.27 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__union__merge,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 203.96/204.27 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_S_2),V_R_2))),V_S_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 <=> ~ ? [B_f] :
% 203.96/204.27 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfE__pf,axiom,
% 203.96/204.27 ! [V_A_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_R_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),V_A_2)))
% 203.96/204.27 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__union__compatible,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_R_2)
% 203.96/204.27 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf,axiom,
% 203.96/204.27 ! [T_a] :
% 203.96/204.27 ( class_Orderings_Owellorder(T_a)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_a)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reduction__pair__def,axiom,
% 203.96/204.27 ! [V_Pa_2,T_a] :
% 203.96/204.27 ( c_FunDef_Oreduction__pair(T_a,V_Pa_2)
% 203.96/204.27 <=> ( c_Wellfounded_Owf(T_a,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reduction__pair__lemma,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,V_Pa_2,T_a] :
% 203.96/204.27 ( c_FunDef_Oreduction__pair(T_a,V_Pa_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2)))
% 203.96/204.27 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Oone__frac__def,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Ofrac__def,axiom,
% 203.96/204.27 ! [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)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pred__nat__def,axiom,
% 203.96/204.27 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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__lenlex,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olenlex(T_a,V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__same__fst,axiom,
% 203.96/204.27 ! [T_a,V_R_2,T_b,V_Pa_2] :
% 203.96/204.27 ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.27 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) )
% 203.96/204.27 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__pred__nat,axiom,
% 203.96/204.27 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__lex,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olex(T_a,V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__lexn,axiom,
% 203.96/204.27 ! [V_n_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(tc_List_Olist(T_a),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__if__measure,axiom,
% 203.96/204.27 ! [T_a,V_g_2,V_f_2,V_Pa_2] :
% 203.96/204.27 ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.27 => 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))) )
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),V_g_2))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_lex__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_List_Olex(T_a,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_a,V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_lexn_Osimps_I1_J,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__Inter,axiom,
% 203.96/204.27 ! [V_f_2,T_b,T_a,V_S_2] :
% 203.96/204.27 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 203.96/204.27 => ( ! [B_A] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_A),V_S_2))
% 203.96/204.27 => c_Fun_Oinj__on(T_a,T_b,V_f_2,B_A) )
% 203.96/204.27 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Collect__split,axiom,
% 203.96/204.27 ! [V_Pa_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Pa_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_image__split__eq__Sigma,axiom,
% 203.96/204.27 ! [V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Set_Oimage(T_c,tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_Oimage(T_c,T_b,V_g_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_a),c_Set_Ovimage(T_c,T_a,V_f_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_A_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_SigmaI,axiom,
% 203.96/204.27 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_RangeI,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Union,axiom,
% 203.96/204.27 ! [V_B_2,V_X_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b)),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Id__on,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Diff__distrib2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Times__Diff__distrib1,axiom,
% 203.96/204.27 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Diff__distrib1,axiom,
% 203.96/204.27 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Times__eq__cancel2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 203.96/204.27 => ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))
% 203.96/204.27 <=> V_A_2 = V_B_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__empty1,axiom,
% 203.96/204.27 ! [V_B_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_card__cartesian__product,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__cartesian__product,axiom,
% 203.96/204.27 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_a)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Times__empty,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))
% 203.96/204.27 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__empty2,axiom,
% 203.96/204.27 ! [V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Compl__Times__UNIV1,axiom,
% 203.96/204.27 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Compl__Times__UNIV2,axiom,
% 203.96/204.27 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__cartesian__product,axiom,
% 203.96/204.27 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_a)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Un__distrib1,axiom,
% 203.96/204.27 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Times__Un__distrib1,axiom,
% 203.96/204.27 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Un__distrib2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__comp__subset__Sigma,axiom,
% 203.96/204.27 ! [V_C_2,V_s_2,T_c,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_C_2)))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_swap__product,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_prod(T_a,T_b)),hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__cartesian__product,axiom,
% 203.96/204.27 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_equiv__type,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Int__distrib1,axiom,
% 203.96/204.27 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Times__Int__distrib1,axiom,
% 203.96/204.27 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__Int__distrib2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Id__on__subset__Times,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId__on(T_a,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Diff__subset,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2))),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_UNIV__Times__UNIV,axiom,
% 203.96/204.27 ! [T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_mem__Sigma__iff,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 203.96/204.27 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_SigmaD1,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_SigmaD2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_SigmaE2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 203.96/204.27 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Union,axiom,
% 203.96/204.27 ! [V_S_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_b,T_a)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__empty__iff,axiom,
% 203.96/204.27 ! [V_r_2,T_a,T_b] :
% 203.96/204.27 ( hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__empty,axiom,
% 203.96/204.27 ! [T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Un__eq,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__Range,axiom,
% 203.96/204.27 ! [V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_snd__eq__Range,axiom,
% 203.96/204.27 ! [V_R_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_a,c_Product__Type_Osnd(T_b,T_a)),V_R_2) = hAPP(c_Relation_ORange(T_b,T_a),V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_card__cartesian__product__singleton,axiom,
% 203.96/204.27 ! [V_A_2,V_x_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Times__subset__cancel2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Image__subset,axiom,
% 203.96/204.27 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_C_2)),V_B_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__cartesian__productD1,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 203.96/204.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__cartesian__productD2,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 203.96/204.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Collect__split,axiom,
% 203.96/204.27 ! [V_Qa_2,V_Pa_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_SetCompr__Sigma__eq,axiom,
% 203.96/204.27 ! [V_Qa_2,V_Pa_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),V_Qa_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fst__image__times,axiom,
% 203.96/204.27 ! [V_A_2,T_b,T_a,V_B_2] :
% 203.96/204.27 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.27 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = V_A_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_snd__image__times,axiom,
% 203.96/204.27 ! [V_B_2,T_b,T_a,V_A_2] :
% 203.96/204.27 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.27 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = V_B_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__iff,axiom,
% 203.96/204.27 ! [V_r_2,T_b,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 203.96/204.27 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__insert,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Int__subset,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_insert__times__insert,axiom,
% 203.96/204.27 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__equiv__class,axiom,
% 203.96/204.27 ! [V_X_2,V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_UN__Times__distrib,axiom,
% 203.96/204.27 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_b,T_a,T_d,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_c,T_d),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_c),c_Product__Type_OSigma(T_a,T_b)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),T_d),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__def,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__quotient,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.27 ( class_Rings_Osemiring__0(T_c)
% 203.96/204.27 => ( c_Fun_Oinj__on(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))
% 203.96/204.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_RangeP__Range__eq,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 203.96/204.27 ! [V_A_2,V_I_2,T_b,T_a] :
% 203.96/204.27 ? [B_f] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,tc_prod(T_b,T_a),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,tc_prod(T_b,T_a),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_I_2),V_A_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_RangeP_Ointros,axiom,
% 203.96/204.27 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 203.96/204.27 => hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_b_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_image__id,axiom,
% 203.96/204.27 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),V_Y_2) = V_Y_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__id,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_Fun_Oid(T_a)),V_A_2) = V_A_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_id__def,axiom,
% 203.96/204.27 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_RangeP_Oequations,axiom,
% 203.96/204.27 ! [V_a2_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_a2_2))
% 203.96/204.27 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_id__apply,axiom,
% 203.96/204.27 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 203.96/204.27
% 203.96/204.27 fof(fact_apsnd__id,axiom,
% 203.96/204.27 ! [T_a,T_b] : c_Product__Type_Oapsnd(T_b,T_b,T_a,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_apfst__id,axiom,
% 203.96/204.27 ! [T_b,T_a] : c_Product__Type_Oapfst(T_a,T_a,T_b,c_Fun_Oid(T_a)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__id,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_Fun_Oid(T_a),V_A_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_of__int__eq__id,axiom,
% 203.96/204.27 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_surj__id,axiom,
% 203.96/204.27 ! [T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_split__Pair,axiom,
% 203.96/204.27 ! [T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__reindex__id,axiom,
% 203.96/204.27 ! [V_B_2,V_f_2,T_a,T_b] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__reindex__id,axiom,
% 203.96/204.27 ! [V_B_2,V_f_2,T_a,T_b] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__Sigma,axiom,
% 203.96/204.27 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_c)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__Sigma,axiom,
% 203.96/204.27 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_c)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fold__image__Sigma,axiom,
% 203.96/204.27 ! [V_g_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_c)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 203.96/204.27 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(T_a,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),T_a),c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c))),V_g_2)),c_Groups_Oone__class_Oone(T_c))),V_B_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,tc_prod(T_a,T_b),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_g_2)),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_card__SigmaI,axiom,
% 203.96/204.27 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 203.96/204.27 => hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),V_B_2)),V_A_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__SigmaI,axiom,
% 203.96/204.27 ! [V_B_2,T_b,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( ! [B_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_RangeE,axiom,
% 203.96/204.27 ! [V_r_2,T_b,V_b_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 203.96/204.27 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_SigmaE,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_ca_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 203.96/204.27 => ~ ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x)))
% 203.96/204.27 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__Un,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ( c_Wellfounded_Owf(T_a,V_s_2)
% 203.96/204.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__surj,axiom,
% 203.96/204.27 ! [V_g_2,T_c,T_d,V_f_2,T_a,T_b] :
% 203.96/204.27 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_DomainI,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__imageI,axiom,
% 203.96/204.27 ! [V_g_2,V_f_2,T_d,T_c,V_R_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_R_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)),V_R_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_snd__prod__fun,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Omap__pair(T_c,T_b,T_d,T_a,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fst__map__pair,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Id__on,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__simp,axiom,
% 203.96/204.27 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__ident,axiom,
% 203.96/204.27 ! [V_z_2,T_b,T_a] : hAPP(c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)),V_z_2) = V_z_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair_Oidentity,axiom,
% 203.96/204.27 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__empty,axiom,
% 203.96/204.27 ! [T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__empty__iff,axiom,
% 203.96/204.27 ! [V_r_2,T_b,T_a] :
% 203.96/204.27 ( hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__mono,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_s_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Un__eq,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__Domain,axiom,
% 203.96/204.27 ! [V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fst__eq__Domain,axiom,
% 203.96/204.27 ! [V_R_2,T_b,T_a] : hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),V_R_2) = hAPP(c_Relation_ODomain(T_a,T_b),V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_apfst__def,axiom,
% 203.96/204.27 ! [V_f_2,T_b,T_c,T_a] : c_Product__Type_Oapfst(T_a,T_c,T_b,V_f_2) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_b,V_f_2,c_Fun_Oid(T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_apsnd__def,axiom,
% 203.96/204.27 ! [V_f_2,T_a,T_c,T_b] : c_Product__Type_Oapsnd(T_b,T_c,T_a,V_f_2) = c_Product__Type_Omap__pair(T_a,T_a,T_b,T_c,c_Fun_Oid(T_a),V_f_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair_Oid,axiom,
% 203.96/204.27 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_Fun_Oid(T_a),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__def,axiom,
% 203.96/204.27 ! [V_g_2,V_f_2,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),T_a),c_COMBB(T_d,tc_prod(T_c,T_d),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_a),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_g_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__iff,axiom,
% 203.96/204.27 ! [V_r_2,T_b,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 203.96/204.27 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__insert,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Int__subset,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Diff__subset,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2))),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Field__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__surj__on,axiom,
% 203.96/204.27 ! [V_B_H_2,V_B_2,V_g_2,T_c,T_d,V_A_H_2,V_A_2,V_f_2,T_a,T_b] :
% 203.96/204.27 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2
% 203.96/204.27 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2) = V_B_H_2
% 203.96/204.27 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_H_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_H_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Union,axiom,
% 203.96/204.27 ! [V_S_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Collect__split,axiom,
% 203.96/204.27 ! [V_Pa_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),V_Pa_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__map__pair__image,axiom,
% 203.96/204.27 ! [V_f_2,T_b,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.27 => c_Wellfounded_Owf(T_b,hAPP(c_Set_Oimage(tc_prod(T_a,T_a),tc_prod(T_b,T_b),c_Product__Type_Omap__pair(T_a,T_b,T_a,T_b,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__inj__on,axiom,
% 203.96/204.27 ! [V_B_2,V_g_2,T_d,T_c,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,V_B_2)
% 203.96/204.27 => c_Fun_Oinj__on(tc_prod(T_a,T_c),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_a,T_b,T_c,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_DomainP__Domain__eq,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_prod__fun__imageE,axiom,
% 203.96/204.27 ! [V_R_2,V_g_2,V_f_2,T_d,T_c,V_ca_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2)),V_R_2)))
% 203.96/204.27 => ~ ! [B_x,B_y] :
% 203.96/204.27 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)),V_R_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_DomainE,axiom,
% 203.96/204.27 ! [V_r_2,T_b,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 203.96/204.27 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_DomainP_Ointros,axiom,
% 203.96/204.27 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 203.96/204.27 => hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_DomainP_Oequations,axiom,
% 203.96/204.27 ! [V_a1_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a1_2))
% 203.96/204.27 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__def,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.27 & ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 203.96/204.27 <=> c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Rep__Integ__induct,axiom,
% 203.96/204.27 ! [V_Pa_2,V_y_2] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 203.96/204.27 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__empty,axiom,
% 203.96/204.27 ! [T_a] : c_Wellfounded_OwfP(T_a,hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__Id__on,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_accp__wfPD,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 203.96/204.27 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__accp__iff,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 203.96/204.27 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__subset,axiom,
% 203.96/204.27 ! [V_p_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_p_2),V_r_2))
% 203.96/204.27 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__empty,axiom,
% 203.96/204.27 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__Un,axiom,
% 203.96/204.27 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 203.96/204.27 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__Int,axiom,
% 203.96/204.27 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 203.96/204.27 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__onD,axiom,
% 203.96/204.27 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__onD1,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__onD2,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__in__rel,axiom,
% 203.96/204.27 ! [V_R_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_R_2)
% 203.96/204.27 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__wf__eq,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2))
% 203.96/204.27 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reflp__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Predicate_Oreflp(T_a,V_r_2)
% 203.96/204.27 <=> c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__onI,axiom,
% 203.96/204.27 ! [V_A_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) )
% 203.96/204.27 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__acyclicP,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__acyclic,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acyclic__subset,axiom,
% 203.96/204.27 ! [V_r_2,V_s_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Oacyclic(T_a,V_s_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.27 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reflpE,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Predicate_Oreflp(T_a,V_r_2)
% 203.96/204.27 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__acyclic__wf,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 203.96/204.27 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,V_r_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 203.96/204.27 => ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Owf_H__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Nitpick_Owf_H(T_a,V_r_2)
% 203.96/204.27 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 203.96/204.27 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 203.96/204.27 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Rep__Integ__cases,axiom,
% 203.96/204.27 ! [V_y_2] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 203.96/204.27 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__INTER,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,T_c,T_b,T_a,V_I_2] :
% 203.96/204.27 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => ( ! [B_i] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_I_2))
% 203.96/204.27 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(V_A_2,B_i)) )
% 203.96/204.27 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__def_H,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 <=> ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),B_x)) )
% 203.96/204.27 & ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Abs__Integ__induct,axiom,
% 203.96/204.27 ! [V_x_2,V_Pa_2] :
% 203.96/204.27 ( ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Abs__Integ__cases,axiom,
% 203.96/204.27 ! [V_x_2] :
% 203.96/204.27 ~ ! [B_y] :
% 203.96/204.27 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_ball__empty,axiom,
% 203.96/204.27 ! [V_Pa_2,T_a,B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_INFI__bool__eq,axiom,
% 203.96/204.27 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_HOL_Obool) = c_Set_OBall(T_a) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_ball__UNIV,axiom,
% 203.96/204.27 ! [V_Pa_2,T_a] :
% 203.96/204.27 ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 203.96/204.27 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Powp__def,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,V_A_2),V_B_2))
% 203.96/204.27 <=> ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 203.96/204.27 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Collect__ball__eq,axiom,
% 203.96/204.27 ! [V_Pa_2,V_A_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_congruent__def,axiom,
% 203.96/204.27 ! [V_f_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 203.96/204.27 <=> ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_INTER__def,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_member(T_a))),V_B_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Inf__Sup,axiom,
% 203.96/204.27 ! [V_A_2,T_a] :
% 203.96/204.27 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.27 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_a))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sup__Inf,axiom,
% 203.96/204.27 ! [V_A_2,T_a] :
% 203.96/204.27 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 203.96/204.27 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a)))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__diff__nat,axiom,
% 203.96/204.27 ! [V_k_2,V_N_2] :
% 203.96/204.27 ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 203.96/204.27 => 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) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfP__SUP,axiom,
% 203.96/204.27 ! [T_a,V_r_2,T_b] :
% 203.96/204.27 ( ! [B_i] : c_Wellfounded_OwfP(T_b,hAPP(V_r_2,B_i))
% 203.96/204.27 => ( ! [B_i,B_j] :
% 203.96/204.27 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 203.96/204.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Predicate_ODomainP(T_b,T_b,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_b,T_b,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 203.96/204.27 => c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_mem__splitI2,axiom,
% 203.96/204.27 ! [V_ca_2,V_z_2,T_c,T_b,T_a,V_p_2] :
% 203.96/204.27 ( ! [B_a,B_b] :
% 203.96/204.27 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Inter__eq,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_mem__splitE,axiom,
% 203.96/204.27 ! [V_p_2,V_ca_2,T_c,T_b,V_z_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),V_p_2)))
% 203.96/204.27 => ~ ! [B_x,B_y] :
% 203.96/204.27 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__Times,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,tc_prod(T_b,T_c),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_b,T_a,c_Product__Type_Ofst(T_b,T_c)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_c,T_a,c_Product__Type_Osnd(T_b,T_c)),V_f_2)),V_B_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Eps__split,axiom,
% 203.96/204.27 ! [V_Pa_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_Pa_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair_Ocomp,axiom,
% 203.96/204.27 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_b,T_a,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g_2),V_i_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair__compose,axiom,
% 203.96/204.27 ! [V_g2_2,V_g1_2,T_f,V_f2_2,V_f1_2,T_e,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_f2_2,V_g2_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_map__pair_Ocompositionality,axiom,
% 203.96/204.27 ! [V_prod_2,V_i_2,V_h_2,T_f,T_e,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_e,T_a,T_f,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_e,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_g_2),V_i_2)),V_prod_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__eq__id__dest,axiom,
% 203.96/204.27 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 203.96/204.27 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_ca_2)
% 203.96/204.27 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__id,axiom,
% 203.96/204.27 ! [V_f_2,T_b,T_a] : hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_f_2),c_Fun_Oid(T_a)) = V_f_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_id__o,axiom,
% 203.96/204.27 ! [V_g_2,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_g_2) = V_g_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_vimage__compose,axiom,
% 203.96/204.27 ! [V_x_2,V_f_2,V_g_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_a,T_c,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_g_2),V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__def,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_K__record__comp,axiom,
% 203.96/204.27 ! [V_x_2,V_f_2,V_ca_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_someI__ex,axiom,
% 203.96/204.27 ! [T_a,V_Pa_2] :
% 203.96/204.27 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_a,V_Pa_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_some__eq__ex,axiom,
% 203.96/204.27 ! [T_a,V_Pa_2] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_a,V_Pa_2)))
% 203.96/204.27 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_some__eq__trivial,axiom,
% 203.96/204.27 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_some__sym__eq__trivial,axiom,
% 203.96/204.27 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_exE__some,axiom,
% 203.96/204.27 ! [T_a,V_ca_2,V_Pa_2] :
% 203.96/204.27 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 203.96/204.27 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_a,V_Pa_2)
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fun__upd__comp,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),c_Fun_Ofun__upd(T_a,T_c,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_someI,axiom,
% 203.96/204.27 ! [T_a,V_x_2,V_Pa_2] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_a,V_Pa_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_tfl__some,axiom,
% 203.96/204.27 ! [T_a,B_P] :
% 203.96/204.27 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 203.96/204.27 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_a,B_P))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_comp__cong,axiom,
% 203.96/204.27 ! [T_e,T_d,T_c,T_a,T_b,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 203.96/204.27 ( 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))
% 203.96/204.27 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__eq__dest__lhs,axiom,
% 203.96/204.27 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 203.96/204.27 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_ca_2
% 203.96/204.27 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__eq__elim,axiom,
% 203.96/204.27 ! [V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 203.96/204.27 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2)
% 203.96/204.27 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__eq__dest,axiom,
% 203.96/204.27 ! [V_v_2,V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 203.96/204.27 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2)
% 203.96/204.27 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__apply,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_o__assoc,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(c_Fun_Ocomp(T_d,T_c,T_a,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_h_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 203.96/204.27 ! [V_x_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_apsnd__compose,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_a,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_x_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_apfst__compose,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_d,V_f_2),V_g_2)),V_x_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__imageI2,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,V_f_H_2,T_c,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_H_2),V_f_2),V_A_2)
% 203.96/204.27 => c_Fun_Oinj__on(T_a,T_c,V_f_2,V_A_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__comp,axiom,
% 203.96/204.27 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 203.96/204.27 => c_Fun_Oinj__on(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_comp__surj,axiom,
% 203.96/204.27 ! [V_g_2,T_c,V_f_2,T_a,T_b] :
% 203.96/204.27 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => ( hAPP(c_Set_Oimage(T_a,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_a,T_c,T_b,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_image__compose,axiom,
% 203.96/204.27 ! [V_r_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_a,T_b,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inj__on__imageI,axiom,
% 203.96/204.27 ! [V_A_2,V_f_2,V_g_2,T_c,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2)
% 203.96/204.27 => c_Fun_Oinj__on(T_c,T_b,V_g_2,hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_A_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_comp__inj__on,axiom,
% 203.96/204.27 ! [V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_b,T_c,V_g_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 203.96/204.27 => c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_comp__inj__on__iff,axiom,
% 203.96/204.27 ! [V_f_H_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_b,T_c,V_f_H_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 203.96/204.27 <=> c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__reindex,axiom,
% 203.96/204.27 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_c)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__reindex__cong,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_c)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 203.96/204.27 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__reindex,axiom,
% 203.96/204.27 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_c)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Eps__split__eq,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_split__paired__Eps,axiom,
% 203.96/204.27 ! [V_Pa_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_Pa_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum_Oreindex,axiom,
% 203.96/204.27 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod_Oreindex,axiom,
% 203.96/204.27 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_b)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_the__inv__into__comp,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))))
% 203.96/204.27 => hAPP(c_Fun_Othe__inv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Fun_Othe__inv__into(T_c,T_a,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fold__image__reindex,axiom,
% 203.96/204.27 ! [V_z_2,V_g_2,V_h_2,T_b,V_A_2,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Oab__semigroup__mult(T_c)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_h_2,V_A_2)
% 203.96/204.27 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_LeastM__def,axiom,
% 203.96/204.27 ! [V_Pa_2,V_m_2,T_a,T_b] :
% 203.96/204.27 ( class_Orderings_Oord(T_b)
% 203.96/204.27 => c_Hilbert__Choice_OLeastM(T_a,T_b,V_m_2,V_Pa_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_Pa_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_GreatestM__def,axiom,
% 203.96/204.27 ! [V_Pa_2,V_m_2,T_a,T_b] :
% 203.96/204.27 ( class_Orderings_Oord(T_b)
% 203.96/204.27 => hAPP(c_Hilbert__Choice_OGreatestM(T_a,T_b,V_m_2),V_Pa_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_Pa_2))),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Oremove,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.27 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_fst__comp__map__pair,axiom,
% 203.96/204.27 ! [V_g_2,V_f_2,T_b,T_a,T_d,T_c] : hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,tc_prod(T_a,T_b),c_Product__Type_Ofst(T_c,T_d)),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,tc_prod(T_a,T_b),V_f_2),c_Product__Type_Ofst(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__left__comp,axiom,
% 203.96/204.27 ! [V_g_2,V_x_2,V_y_2,T_c,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__comp,axiom,
% 203.96/204.27 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e,V_F_2,V_fa_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_F_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),hAPP(c_Fun_Ocomp(T_f,T_e,T_c,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_h_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_UN__o,axiom,
% 203.96/204.27 ! [V_f_2,V_g_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_c,tc_fun(T_a,tc_HOL_Obool),T_b,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_g_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_snd__comp__map__pair,axiom,
% 203.96/204.27 ! [V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_c),T_c,tc_prod(T_a,T_b),c_Product__Type_Osnd(T_d,T_c)),c_Product__Type_Omap__pair(T_a,T_d,T_b,T_c,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_c,tc_prod(T_a,T_b),V_g_2),c_Product__Type_Osnd(T_a,T_b)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_LeastM__nat__le,axiom,
% 203.96/204.27 ! [T_a,V_m_2,V_x_2,V_Pa_2] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_Pa_2))),hAPP(V_m_2,V_x_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_LeastM__nat__lemma,axiom,
% 203.96/204.27 ! [V_m_2,T_a,V_k_2,V_Pa_2] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 203.96/204.27 => ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_Pa_2)))
% 203.96/204.27 & ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,B_y))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_Pa_2))),hAPP(V_m_2,B_y))) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_split__comp,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_d,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_a),T_b,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_x_2))),hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__comp_H,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 203.96/204.27 ! [V_g_2,V_x_2,T_c,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 203.96/204.27 ! [V_g_2,T_c,V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Oempty,axiom,
% 203.96/204.27 ! [V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Fun_Oid(T_b) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Oeq__fold,axiom,
% 203.96/204.27 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_s_2),V_A_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Oinsert,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.27 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ounion__inter,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Oinsert__remove,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding_Ounion,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Loop__sound__lemma,axiom,
% 203.96/204.27 ! [V_ca_2,V_b_2,V_Pa_2,V_G_2,T_a] :
% 203.96/204.27 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_Pa_2,V_b_2)),V_ca_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.96/204.27 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,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_a),tc_HOL_Obool)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_hoare__derivs_OIf,axiom,
% 203.96/204.27 ! [V_d_2,V_Qa_2,V_ca_2,V_b_2,V_Pa_2,V_G_2,T_a] :
% 203.96/204.27 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_Pa_2,V_b_2)),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.96/204.27 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_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_a),tc_HOL_Obool))))
% 203.96/204.27 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Loop,axiom,
% 203.96/204.27 ! [V_ca_2,V_b_2,V_Pa_2,V_G_2,T_a] :
% 203.96/204.27 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_Pa_2,V_b_2)),V_ca_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 203.96/204.27 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,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_a),tc_HOL_Obool)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_LeastM__natI,axiom,
% 203.96/204.27 ! [V_m_2,T_a,V_k_2,V_Pa_2] :
% 203.96/204.27 ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 203.96/204.27 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_Pa_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_peek__and__def,axiom,
% 203.96/204.27 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_a,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 203.96/204.27 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 203.96/204.27 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Greatest__def,axiom,
% 203.96/204.27 ! [T_a] :
% 203.96/204.27 ( class_Orderings_Oord(T_a)
% 203.96/204.27 => c_Hilbert__Choice_OGreatest(T_a) = c_Hilbert__Choice_OGreatestM(T_a,T_a,c_COMBI(T_a)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__image_Oreindex,axiom,
% 203.96/204.27 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.96/204.27 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 203.96/204.27 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_b,T_a,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__reindex__nonzero,axiom,
% 203.96/204.27 ! [T_b,V_h_2,V_f_2,V_S_2,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_c)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 203.96/204.27 => ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_S_2))
% 203.96/204.27 => ( B_x != B_y
% 203.96/204.27 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 203.96/204.27 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) )
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__image_Odistrib,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.96/204.27 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__image_Oeq__fold,axiom,
% 203.96/204.27 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 203.96/204.27 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__idem_Ounion__idem,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 203.96/204.27 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__idem_Oinsert__idem,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 203.96/204.27 ! [V_g_2,V_x_2,T_c,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__idem_Oidem__comp,axiom,
% 203.96/204.27 ! [V_x_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 203.96/204.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 203.96/204.27 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 203.96/204.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.27 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_strong__setprod__reindex__cong,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__mult(T_c)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2),B_x) )
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wfI__pf,axiom,
% 203.96/204.27 ! [V_R_2,T_a] :
% 203.96/204.27 ( ! [B_A] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),B_A)))
% 203.96/204.27 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )
% 203.96/204.27 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Sigma__mono,axiom,
% 203.96/204.27 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_C_2),V_D_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc_OaccI,axiom,
% 203.96/204.27 ! [V_r_2,V_x_2,T_a] :
% 203.96/204.27 ( ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_not__acc__down,axiom,
% 203.96/204.27 ! [V_R_2,V_x_2,T_a] :
% 203.96/204.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))
% 203.96/204.27 => ~ ! [B_z] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_max__ext_Osimps,axiom,
% 203.96/204.27 ! [V_R_2,V_a2_2,V_a1_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 203.96/204.27 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 203.96/204.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 203.96/204.27 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 203.96/204.27 & ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 203.96/204.27 => ? [B_xa] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__no__infinite__down__chainE,axiom,
% 203.96/204.27 ! [V_f_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osize_I3_J,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I66_J,axiom,
% 203.96/204.27 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_a] : c_Com_Ocom_Ocom__case(T_a,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I39_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I38_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I2_J,axiom,
% 203.96/204.27 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 203.96/204.27 ( 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)
% 203.96/204.27 <=> ( V_loc_2 = V_loc_H_2
% 203.96/204.27 & V_fun_2 = V_fun_H_2
% 203.96/204.27 & V_com_2 = V_com_H_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I11_J,axiom,
% 203.96/204.27 ! [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 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I10_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I34_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I35_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I37_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osimps_I36_J,axiom,
% 203.96/204.27 ! [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) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_com_Osize_I11_J,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__reindex__cong,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 203.96/204.27 ( class_Groups_Ocomm__monoid__add(T_c)
% 203.96/204.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 203.96/204.27 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 203.96/204.27 => ( ! [B_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 203.96/204.27 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_scomp__unfold,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(V_f_2,V_x_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_scomp__apply,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_scomp__Pair,axiom,
% 203.96/204.27 ! [V_x_2,T_c,T_b,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_c,tc_prod(T_b,T_c)),V_x_2),c_Product__Type_OPair(T_b,T_c)) = V_x_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_scomp__scomp,axiom,
% 203.96/204.27 ! [V_h_2,V_g_2,V_f_2,T_f,T_e,T_b,T_d,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_d,T_b),hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,tc_prod(T_c,T_d)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,T_b),V_f_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),T_e),c_Product__Type_Oscomp(T_f,T_c,T_d,T_b)),V_g_2)),V_h_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Pair__scomp,axiom,
% 203.96/204.27 ! [V_f_2,V_x_2,T_b,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_a,T_b),hAPP(c_Product__Type_OPair(T_c,T_a),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_scomp__def,axiom,
% 203.96/204.27 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_iterate_Osimps,axiom,
% 203.96/204.27 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 203.96/204.27 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 203.96/204.27 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2) )
% 203.96/204.27 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 203.96/204.27 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_a,tc_prod(T_b,T_a)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_b,T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setsum__ivl__cong,axiom,
% 203.96/204.27 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_a,T_b] :
% 203.96/204.27 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 203.96/204.27 & class_Orderings_Oord(T_a) )
% 203.96/204.27 => ( V_a_2 = V_ca_2
% 203.96/204.27 => ( V_b_2 = V_d_2
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),B_x))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_d_2))
% 203.96/204.27 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 203.96/204.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_log_Osimps,axiom,
% 203.96/204.27 ! [V_i,V_b] :
% 203.96/204.27 ( ( ( 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)))
% 203.96/204.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 203.96/204.27 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 203.96/204.27 & ( ~ ( 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)))
% 203.96/204.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 203.96/204.27 => 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))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_minus__shift__def,axiom,
% 203.96/204.27 ! [V_r,V_l,V_k] :
% 203.96/204.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 203.96/204.27 => 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) )
% 203.96/204.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 203.96/204.27 => 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) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_inc__shift__def,axiom,
% 203.96/204.27 ! [V_k,V_v] :
% 203.96/204.27 ( ( V_v = V_k
% 203.96/204.27 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 203.96/204.27 & ( V_v != V_k
% 203.96/204.27 => 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)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_range,axiom,
% 203.96/204.27 ! [V_s,V_k] :
% 203.96/204.27 ( 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))
% 203.96/204.27 => 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)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_less__eq,axiom,
% 203.96/204.27 ! [V_n_2,V_m_2] :
% 203.96/204.27 ( 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)))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_nat__intermed__int__val,axiom,
% 203.96/204.27 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 203.96/204.27 ( ! [B_i] :
% 203.96/204.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 203.96/204.27 => 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))) )
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 203.96/204.27 => ? [B_i] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 203.96/204.27 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__trancl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_less__than__def,axiom,
% 203.96/204.27 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acyclic__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 203.96/204.27 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl_Or__into__trancl,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__subset__Field2,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_Relation_OField(T_a),V_r_2))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_r__into__trancl_H,axiom,
% 203.96/204.27 ! [V_r_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__empty,axiom,
% 203.96/204.27 ! [T_a] : c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__domain,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__range,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ORange(T_a,T_a),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__trancl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_r__r__into__trancl,axiom,
% 203.96/204.27 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_R_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_R_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__into__trancl2,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__trans,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__mono,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__unfold,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__subset__Sigma,axiom,
% 203.96/204.27 ! [V_A_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__Int__subset,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__insert,axiom,
% 203.96/204.27 ! [V_r_2,V_x_2,V_y_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBC(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),V_y_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reflcl__set__eq,axiom,
% 203.96/204.27 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_r__into__rtrancl,axiom,
% 203.96/204.27 ! [V_r_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 203.96/204.27 ! [V_r_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_IdI,axiom,
% 203.96/204.27 ! [V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__into__rtrancl,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__rtrancl__absorb,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__trancl__absorb,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__reflcl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_reflcl__trancl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__unfold__right,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__unfold__left,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Image__closed__trancl,axiom,
% 203.96/204.27 ! [V_X_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),V_X_2)),V_X_2))
% 203.96/204.27 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__mono,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__subset,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__subset__rtrancl,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__Un__subset,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__Int__subset,axiom,
% 203.96/204.27 ! [V_r_2,V_s_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),V_s_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__rtrancl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__rtrancl,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__rtrancl,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__empty,axiom,
% 203.96/204.27 ! [T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Relation_OId(T_a) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_r__comp__rtrancl__eq,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__idemp__self__comp,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__unfold,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__reflcl__absorb,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__Un__rtrancl,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__reflcl,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_in__rtrancl__UnI,axiom,
% 203.96/204.27 ! [V_S_2,V_R_2,V_x_2,T_a] :
% 203.96/204.27 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__trans,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__idemp,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__r__diff__Id,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Image__Id,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a)),V_A_2) = V_A_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Id__O__R,axiom,
% 203.96/204.27 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_b),c_Relation_OId(T_a)),V_R_2) = V_R_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_R__O__Id,axiom,
% 203.96/204.27 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_b),V_R_2),c_Relation_OId(T_b)) = V_R_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pair__in__Id__conv,axiom,
% 203.96/204.27 ! [V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a)))
% 203.96/204.27 <=> V_a_2 = V_b_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__eq__or__trancl,axiom,
% 203.96/204.27 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 <=> ( V_x_2 = V_y_2
% 203.96/204.27 | ( V_x_2 != V_y_2
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__into__trancl2,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtranclD,axiom,
% 203.96/204.27 ! [V_R_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 => ( V_a_2 = V_b_2
% 203.96/204.27 | ( V_a_2 != V_b_2
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__into__trancl1,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__rtrancl__trancl,axiom,
% 203.96/204.27 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__trancl__trancl,axiom,
% 203.96/204.27 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__Id,axiom,
% 203.96/204.27 ! [T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__Id,axiom,
% 203.96/204.27 ! [T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__Id,axiom,
% 203.96/204.27 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pair__leq__def,axiom,
% 203.96/204.27 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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Not__Domain__rtrancl,axiom,
% 203.96/204.27 ! [V_y_2,V_R_2,V_x_2,T_a] :
% 203.96/204.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_a),V_R_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 <=> V_x_2 = V_y_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc__downwards,axiom,
% 203.96/204.27 ! [V_b_2,V_r_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acc__downwards__aux,axiom,
% 203.96/204.27 ! [V_r_2,V_a_2,V_b_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__insert,axiom,
% 203.96/204.27 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 203.96/204.27 <=> ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acyclic__insert,axiom,
% 203.96/204.27 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Oacyclic(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 203.96/204.27 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 203.96/204.27 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__reflcl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Id__def,axiom,
% 203.96/204.27 ! [T_a] : c_Relation_OId(T_a) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_a),tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),tc_prod(T_a,T_a)),c_COMBB(tc_prod(T_a,T_a),tc_HOL_Obool,T_a)),c_fequal)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_irrefl__diff__Id,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Relation_Oirrefl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_pred__nat__trancl__eq__le,axiom,
% 203.96/204.27 ! [V_n_2,V_m_2] :
% 203.96/204.27 ( 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)))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__subset__Sigma__aux,axiom,
% 203.96/204.27 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.27 => ( V_a_2 = V_b_2
% 203.96/204.27 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_irrefl__tranclI,axiom,
% 203.96/204.27 ! [V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_sequence__trans,axiom,
% 203.96/204.27 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_a] :
% 203.96/204.27 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__Id,axiom,
% 203.96/204.27 ! [T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a)) = c_Relation_OId(T_a) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__INTER,axiom,
% 203.96/204.27 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__converse,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 203.96/204.27 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__rel__comp,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_a),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__Un,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Field__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_OField(T_a),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__inv__image,axiom,
% 203.96/204.27 ! [V_f_2,V_R_2,T_b,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__Int,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = V_r_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 203.96/204.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_a)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__Id__on,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = c_Relation_OId__on(T_a,V_A_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__UNION,axiom,
% 203.96/204.27 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__iff,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converseI,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converseD,axiom,
% 203.96/204.27 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acyclic__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 203.96/204.27 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__converse__trancl,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_equiv__comp__eq,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.27 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Domain__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) = hAPP(c_Relation_ORange(T_b,T_a),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Range__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__converseD,axiom,
% 203.96/204.27 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__converseI,axiom,
% 203.96/204.27 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__converseD,axiom,
% 203.96/204.27 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__converseI,axiom,
% 203.96/204.27 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Image__subset__eq,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)),V_B_2))
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_refl__on__comp__subset,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_comp__equivI,axiom,
% 203.96/204.27 ! [V_A_2,V_r_2,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2
% 203.96/204.27 => ( hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) = V_A_2
% 203.96/204.27 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__acyclic__wf__converse,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 203.96/204.27 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 203.96/204.27 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converse__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_a)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_a)))),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))))),V_r_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Image__INT__eq,axiom,
% 203.96/204.27 ! [V_B_2,T_c,V_A_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))
% 203.96/204.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 203.96/204.27 => hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_total__on__diff__Id,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))
% 203.96/204.27 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__Id,axiom,
% 203.96/204.27 ! [T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__rel__comp,axiom,
% 203.96/204.27 ! [V_s_2,T_c,V_r_2,T_b,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 203.96/204.27 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 203.96/204.27 => c_Relation_Osingle__valued(T_a,T_c,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__subset,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.27 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2)
% 203.96/204.27 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__Id__on,axiom,
% 203.96/204.27 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_total__on__empty,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_total__on__converse,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 203.96/204.27 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__def,axiom,
% 203.96/204.27 ! [V_r_2,T_b,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 203.96/204.27 <=> ! [B_x,B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))
% 203.96/204.27 => ! [B_z] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))
% 203.96/204.27 => B_y = B_z ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valuedD,axiom,
% 203.96/204.27 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2))
% 203.96/204.27 => V_y_2 = V_z_2 ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_total__on__def,axiom,
% 203.96/204.27 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.27 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)
% 203.96/204.27 <=> ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => ! [B_xa] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 203.96/204.27 => ( B_x != B_xa
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2))
% 203.96/204.27 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__confluent,axiom,
% 203.96/204.27 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.27 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Image__Int__eq,axiom,
% 203.96/204.27 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_R_2))
% 203.96/204.27 => hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 203.96/204.27 ! [V_R_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_acyclicI,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 203.96/204.27 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_single__valued__rel__pow,axiom,
% 203.96/204.27 ! [V_n_2,V_R_2,T_a] :
% 203.96/204.27 ( c_Relation_Osingle__valued(T_a,T_a,V_R_2)
% 203.96/204.27 => c_Relation_Osingle__valued(T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__exp,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))
% 203.96/204.27 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_funpow__swap1,axiom,
% 203.96/204.27 ! [V_x_2,V_n_2,T_a,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_funpow__mult,axiom,
% 203.96/204.27 ! [V_f_2,V_m_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_comp__funpow,axiom,
% 203.96/204.27 ! [V_f_2,V_n_2,T_b,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_a,T_b),tc_fun(T_a,T_b)),V_n_2),c_Fun_Ocomp(T_b,T_b,T_a,V_f_2)) = c_Fun_Ocomp(T_b,T_b,T_a,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__1,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__commute,axiom,
% 203.96/204.27 ! [V_n_2,V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__power,axiom,
% 203.96/204.27 ! [V_R_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__imp__rtrancl,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_relpow_Osimps_I2_J,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__add,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_relpow_Osimps_I1_J,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_a) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__0__I,axiom,
% 203.96/204.27 ! [V_R_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__0__E,axiom,
% 203.96/204.27 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 203.96/204.27 => V_x_2 = V_y_2 ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__Suc__I2,axiom,
% 203.96/204.27 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__Suc__I,axiom,
% 203.96/204.27 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_R_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_funpow_Osimps_I2_J,axiom,
% 203.96/204.27 ! [V_f_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_funpow__add,axiom,
% 203.96/204.27 ! [V_f_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_funpow_Osimps_I1_J,axiom,
% 203.96/204.27 ! [V_f_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_a) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_trancl__power,axiom,
% 203.96/204.27 ! [V_R_2,V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 203.96/204.27 <=> ? [B_n] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 203.96/204.27 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_funpow__code__def,axiom,
% 203.96/204.27 ! [T_a] : c_Nat_Ofunpow(T_a) = c_Nat_Ocompow(T_a,T_a) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__E,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 203.96/204.27 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.27 => V_x_2 != V_z_2 )
% 203.96/204.27 => ~ ! [B_y,B_m] :
% 203.96/204.27 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2)))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__E2,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 203.96/204.27 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.27 => V_x_2 != V_z_2 )
% 203.96/204.27 => ~ ! [B_y,B_m] :
% 203.96/204.27 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__Un__separatorE,axiom,
% 203.96/204.27 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)))
% 203.96/204.27 => ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_Qa_2))
% 203.96/204.27 => B_x = B_y ) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 203.96/204.27 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)))
% 203.96/204.27 => ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Qa_2))
% 203.96/204.27 => B_y = B_x ) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__Suc__E,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 203.96/204.27 => ~ ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__Suc__D2,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 203.96/204.27 => ? [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__pow__Suc__E2,axiom,
% 203.96/204.27 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 203.96/204.27 => ~ ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_tranclD,axiom,
% 203.96/204.27 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 203.96/204.27 => ? [B_z] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_tranclD2,axiom,
% 203.96/204.27 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 203.96/204.27 => ? [B_z] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 203.96/204.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),V_R_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_IdE,axiom,
% 203.96/204.27 ! [V_p_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Relation_OId(T_a)))
% 203.96/204.27 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_mod__div__decomp,axiom,
% 203.96/204.27 ! [V_b,V_a,T_a] :
% 203.96/204.27 ( class_Divides_Osemiring__div(T_a)
% 203.96/204.27 => 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)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_wf__eq__minimal,axiom,
% 203.96/204.27 ! [V_r_2,T_a] :
% 203.96/204.27 ( c_Wellfounded_Owf(T_a,V_r_2)
% 203.96/204.27 <=> ! [B_Q] :
% 203.96/204.27 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 203.96/204.27 => ? [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 203.96/204.27 & ! [B_y] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_transfer__nat__int__set__cong,axiom,
% 203.96/204.27 ! [V_P_H_2,V_Pa_2] :
% 203.96/204.27 ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 203.96/204.27 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.27 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 203.96/204.27 => 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)) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Int__Collect__mono,axiom,
% 203.96/204.27 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 203.96/204.27 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_a),V_Qa_2)))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_UnionE,axiom,
% 203.96/204.27 ! [V_C_2,V_A_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 203.96/204.27 => ~ ! [B_X] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_converseE,axiom,
% 203.96/204.27 ! [V_r_2,V_yx_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 203.96/204.27 => ~ ! [B_x,B_y] :
% 203.96/204.27 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x)
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),B_y)),V_r_2)) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_rel__compE,axiom,
% 203.96/204.27 ! [V_s_2,V_r_2,T_c,V_xz_2,T_b,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2)))
% 203.96/204.27 => ~ ! [B_x,B_y,B_z] :
% 203.96/204.27 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)
% 203.96/204.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),B_x),B_y)),V_r_2))
% 203.96/204.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),B_z)),V_s_2)) ) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 203.96/204.27 ! [V_r_2,V_q_2,T_a] : c_Nitpick_Oplus__frac(T_a,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_a),V_q_2),hAPP(c_Nitpick_Odenom(T_a),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_a),tc_Int_Oint),c_Nitpick_Ofrac(T_a)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_a),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_a),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__pos,axiom,
% 203.96/204.27 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.27 ( class_Rings_Olinordered__semidom(T_b)
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Oof__frac__def,axiom,
% 203.96/204.27 ! [V_q,T_a,T_b] :
% 203.96/204.27 ( ( class_Rings_Oinverse(T_b)
% 203.96/204.27 & class_Rings_Oring__1(T_b) )
% 203.96/204.27 => 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))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 203.96/204.27 ! [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)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Oless__frac__def,axiom,
% 203.96/204.27 ! [V_r_2,V_q_2,T_a] :
% 203.96/204.27 ( c_Nitpick_Oless__frac(T_a,V_q_2,V_r_2)
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 203.96/204.27 ! [V_r_2,V_q_2,T_a] :
% 203.96/204.27 ( c_Nitpick_Oless__eq__frac(T_a,V_q_2,V_r_2)
% 203.96/204.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Onum__def,axiom,
% 203.96/204.27 ! [T_a] : c_Nitpick_Onum(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Nitpick_Odenom__def,axiom,
% 203.96/204.27 ! [T_a] : c_Nitpick_Odenom(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_internal__split__def,axiom,
% 203.96/204.27 ! [T_c,T_b,T_a] : c_Product__Type_Ointernal__split(T_a,T_b,T_c) = c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_setprod__nonneg,axiom,
% 203.96/204.27 ! [V_f_2,V_A_2,T_a,T_b] :
% 203.96/204.27 ( class_Rings_Olinordered__semidom(T_b)
% 203.96/204.27 => ( ! [B_x] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 203.96/204.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_internal__split__conv,axiom,
% 203.96/204.27 ! [V_b_2,V_a_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_b,T_c,T_a),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_bool_Osize_I1_J,axiom,
% 203.96/204.27 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_bool_Osize_I2_J,axiom,
% 203.96/204.27 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_finite__less__ub,axiom,
% 203.96/204.27 ! [V_u_2,V_f_2] :
% 203.96/204.27 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 203.96/204.27 => 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)))) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_lenlex__def,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_a),c_Wellfounded_Oless__than,c_List_Olex(T_a,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_COMBI(tc_List_Olist(T_a)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_lexn__length,axiom,
% 203.96/204.27 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))
% 203.96/204.27 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = V_n_2
% 203.96/204.27 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_neq__if__length__neq,axiom,
% 203.96/204.27 ! [V_ys,V_xs,T_a] :
% 203.96/204.27 ( 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)
% 203.96/204.27 => V_xs != V_ys ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_lenlex__conv,axiom,
% 203.96/204.27 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_List_Olex(T_a,V_r_2)))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_length__sublist,axiom,
% 203.96/204.27 ! [V_I_2,V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_lexn_Osimps_I2_J,axiom,
% 203.96/204.27 ! [V_n_2,V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_a,tc_List_Olist(T_a)),tc_prod(T_a,tc_List_Olist(T_a))),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_Product__Type_Omap__pair(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),c_Wellfounded_Olex__prod(T_a,tc_List_Olist(T_a),V_r_2,hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_impossible__Cons,axiom,
% 203.96/204.27 ! [V_x,V_ys,V_xs,T_a] :
% 203.96/204.27 ( 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)))
% 203.96/204.27 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_list_Oinject,axiom,
% 203.96/204.27 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_a] :
% 203.96/204.27 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H_2),V_list_H_2)
% 203.96/204.27 <=> ( V_a_2 = V_a_H_2
% 203.96/204.27 & V_list_2 = V_list_H_2 ) ) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_not__Cons__self2,axiom,
% 203.96/204.27 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 203.96/204.27
% 203.96/204.27 fof(fact_not__Cons__self,axiom,
% 203.96/204.27 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_list_Osize_I4_J,axiom,
% 203.96/204.27 ! [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))) ).
% 203.96/204.27
% 203.96/204.27 fof(fact_Cons__in__lex,axiom,
% 203.96/204.27 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olex(T_a,V_r_2)))
% 203.96/204.28 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.28 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) )
% 203.96/204.28 | ( V_x_2 = V_y_2
% 203.96/204.28 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olex(T_a,V_r_2))) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_set__Cons__def,axiom,
% 203.96/204.28 ! [V_XS_2,V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBS(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_HOL_Obool,tc_List_Olist(T_a))),c_fequal))),c_List_Olist_OCons(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),V_XS_2)))))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_pick_Osimps,axiom,
% 203.96/204.28 ! [V_xs,V_x,T_a,V_i] :
% 203.96/204.28 ( ( 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)))
% 203.96/204.28 => 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) )
% 203.96/204.28 & ( ~ 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)))
% 203.96/204.28 => 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))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_select__weight__cons__zero,axiom,
% 203.96/204.28 ! [V_xs_2,V_x_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lexord__cons__cons,axiom,
% 203.96/204.28 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2))),c_List_Olexord(T_a,V_r_2)))
% 203.96/204.28 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 203.96/204.28 | ( V_a_2 = V_b_2
% 203.96/204.28 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lexord__lex,axiom,
% 203.96/204.28 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olex(T_a,V_r_2)))
% 203.96/204.28 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 203.96/204.28 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 203.96/204.28 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_list_Osize_I2_J,axiom,
% 203.96/204.28 ! [V_list_2,V_a_2,V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_a,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_Cons__acc__listrel1I,axiom,
% 203.96/204.28 ! [V_xs_2,V_r_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 203.96/204.28 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1__converse,axiom,
% 203.96/204.28 ! [V_r_2,T_a] : c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1__mono,axiom,
% 203.96/204.28 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel1(T_a,V_s_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1I2,axiom,
% 203.96/204.28 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 203.96/204.28 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1__eq__len,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 203.96/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 203.96/204.28 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 203.96/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_in__listrel1__converse,axiom,
% 203.96/204.28 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 203.96/204.28 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1I1,axiom,
% 203.96/204.28 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_xs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_Cons__listrel1__Cons,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2)))
% 203.96/204.28 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.28 & V_xs_2 = V_ys_2 )
% 203.96/204.28 | ( V_x_2 = V_y_2
% 203.96/204.28 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__Cons,axiom,
% 203.96/204.28 ! [V_xs_2,V_x_2,V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = c_List_Oset__Cons(T_a,hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lexord__irreflexive,axiom,
% 203.96/204.28 ! [V_y_2,V_r_2,T_a] :
% 203.96/204.28 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2))
% 203.96/204.28 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__rtrancl__refl,axiom,
% 203.96/204.28 ! [V_r_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_xs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__mono,axiom,
% 203.96/204.28 ! [V_s_2,V_r_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_List_Olistrel(T_a,V_s_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 203.96/204.28 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__eq__len,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 203.96/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__rtrancl__trans,axiom,
% 203.96/204.28 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 203.96/204.28 ! [V_r_2,T_a] : c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel1__subset__listrel,axiom,
% 203.96/204.28 ! [V_r_H_2,V_r_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 203.96/204.28 => ( c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_r_H_2)
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel(T_a,V_r_H_2))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel_OCons,axiom,
% 203.96/204.28 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrelp__listrel__eq,axiom,
% 203.96/204.28 ! [V_xa_2,V_x_2,V_r_2,T_a] :
% 203.96/204.28 ( c_List_Olistrelp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2),V_x_2,V_xa_2)
% 203.96/204.28 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_xa_2)),c_List_Olistrel(T_a,V_r_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__Cons2,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2)))
% 203.96/204.28 => ~ ! [B_x,B_xs] :
% 203.96/204.28 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_y_2)),V_r_2))
% 203.96/204.28 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),B_xs),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrelp_Oequations_I2_J,axiom,
% 203.96/204.28 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_a] :
% 203.96/204.28 ( c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a4_2))
% 203.96/204.28 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 203.96/204.28 & c_List_Olistrelp(T_a,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrelp_OCons,axiom,
% 203.96/204.28 ! [V_ys_2,V_xs_2,T_a,V_y_2,V_x_2,V_r_2] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 203.96/204.28 => ( c_List_Olistrelp(T_a,V_r_2,V_xs_2,V_ys_2)
% 203.96/204.28 => c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__Cons1,axiom,
% 203.96/204.28 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 203.96/204.28 => ~ ! [B_y,B_ys] :
% 203.96/204.28 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_ys)
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),B_y)),V_r_2))
% 203.96/204.28 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),B_ys)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__subset,axiom,
% 203.96/204.28 ! [V_A_2,V_r_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2))))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lists__UNIV,axiom,
% 203.96/204.28 ! [T_a] : c_List_Olists(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lists__mono,axiom,
% 203.96/204.28 ! [V_B_2,V_A_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olists(T_a,V_A_2)),c_List_Olists(T_a,V_B_2))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_equiv__listrel,axiom,
% 203.96/204.28 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.28 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 203.96/204.28 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__refl__on,axiom,
% 203.96/204.28 ! [V_r_2,V_A_2,T_a] :
% 203.96/204.28 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 203.96/204.28 => c_Relation_Orefl__on(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_Cons__in__lists__iff,axiom,
% 203.96/204.28 ! [V_A_2,V_xs_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_List_Olists(T_a,V_A_2)))
% 203.96/204.28 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 203.96/204.28 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lists__accI,axiom,
% 203.96/204.28 ! [V_r_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lists__accD,axiom,
% 203.96/204.28 ! [V_r_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2))))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_listrel__iff__nth,axiom,
% 203.96/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 203.96/204.28 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 203.96/204.28 & ! [B_n] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lexord__linear,axiom,
% 203.96/204.28 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 203.96/204.28 ( ! [B_a,B_b] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_b)),V_r_2))
% 203.96/204.28 | B_a = B_b
% 203.96/204.28 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_b),B_a)),V_r_2)) )
% 203.96/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 203.96/204.28 | V_x_2 = V_y_2
% 203.96/204.28 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_x_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_infinite__UNIV__listI,axiom,
% 203.96/204.28 ! [T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_list__eq__iff__nth__eq,axiom,
% 203.96/204.28 ! [T_a,V_ys_2,V_xs_2] :
% 203.96/204.28 ( V_xs_2 = V_ys_2
% 203.96/204.28 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 203.96/204.28 & ! [B_i] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 203.96/204.28 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_i) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_nth__Cons__0,axiom,
% 203.96/204.28 ! [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 ).
% 203.96/204.28
% 203.96/204.28 fof(fact_nth__Cons__Suc,axiom,
% 203.96/204.28 ! [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) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_nth_Osimps,axiom,
% 203.96/204.28 ! [V_n_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_a,V_x_2,hAPP(c_List_Onth(T_a),V_xs_2),V_n_2) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_nth__Cons_H,axiom,
% 203.96/204.28 ! [V_xs,V_x,T_a,V_n] :
% 203.96/204.28 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.28 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 203.96/204.28 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.28 => 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))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_nth__Cons__number__of,axiom,
% 203.96/204.28 ! [V_xs,V_x,T_a,V_v] :
% 203.96/204.28 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.28 => 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 )
% 203.96/204.28 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 203.96/204.28 => 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))) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_lexord__take__index__conv,axiom,
% 203.96/204.28 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 203.96/204.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2)))
% 203.96/204.28 & hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),V_y_2) = V_x_2 )
% 203.96/204.28 | ? [B_i] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2))))
% 203.96/204.28 & hAPP(hAPP(c_List_Otake(T_a),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_a),B_i),V_y_2)
% 203.96/204.28 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_set__sublist,axiom,
% 203.96/204.28 ! [V_I_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_finite__set,axiom,
% 203.96/204.28 ! [V_xs_2,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_set__subset__Cons,axiom,
% 203.96/204.28 ! [V_x_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_take__all,axiom,
% 203.96/204.28 ! [V_n,V_xs,T_a] :
% 203.96/204.28 ( 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))
% 203.96/204.28 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_set__take__subset,axiom,
% 203.96/204.28 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_set__take__subset__set__take,axiom,
% 203.96/204.28 ! [V_xs_2,T_a,V_n_2,V_m_2] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 203.96/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_set__sublist__subset,axiom,
% 203.96/204.28 ! [V_I_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_nth__take,axiom,
% 203.96/204.28 ! [V_xs,T_a,V_n,V_i] :
% 203.96/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 203.96/204.28 => 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) ) ).
% 203.96/204.28
% 203.96/204.28 fof(fact_notin__set__sublistI,axiom,
% 203.96/204.28 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 203.96/204.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 203.96/204.28 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__takeD,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__sublistD,axiom,
% 204.28/204.28 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__ConsD,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_y_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))))
% 204.28/204.28 => ( V_y_2 = V_x_2
% 204.28/204.28 | hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Suc__Cons,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__take,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__take,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublist__upt__eq__take,axiom,
% 204.28/204.28 ! [V_n_2,V_l_2,T_a] : c_List_Osublist(T_a,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_l_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_card__length,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_all__set__conv__all__nth,axiom,
% 204.28/204.28 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.28 ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.28 <=> ! [B_i] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__size__estimation,axiom,
% 204.28/204.28 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__size__estimation_H,axiom,
% 204.28/204.28 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__lists__conv__set,axiom,
% 204.28/204.28 ! [V_A_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__pos__if__in__set,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__conv__nth,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 <=> ? [B_i] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 & hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = V_x_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__mem,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lists__eq__set,axiom,
% 204.28/204.28 ! [V_A_2,T_a] : c_List_Olists(T_a,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__conv__nth,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_finite__lists__length__eq,axiom,
% 204.28/204.28 ! [V_n_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_finite__lists__length__le,axiom,
% 204.28/204.28 ! [V_n_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel__iff__zip,axiom,
% 204.28/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 204.28/204.28 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 204.28/204.28 & ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),B_x)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__zip,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_b)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_a,T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),tc_Nat_Onat),c_Product__Type_OPair(T_a,T_b)),hAPP(c_List_Onth(T_a),V_xs_2))),hAPP(c_List_Onth(T_b),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__zip,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__zip,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__Cons__Cons,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__eq__iff__zip__eq,axiom,
% 204.28/204.28 ! [T_a,V_ys_2,V_xs_2] :
% 204.28/204.28 ( V_xs_2 = V_ys_2
% 204.28/204.28 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 204.28/204.28 & ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__same,axiom,
% 204.28/204.28 ! [V_xs_2,V_b_2,V_a_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2))))
% 204.28/204.28 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 & V_a_2 = V_b_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__zip__leftD,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__zip__rightD,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__zipE,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 204.28/204.28 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__zip,axiom,
% 204.28/204.28 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => ( 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)))
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_greaterThanLessThan__upto,axiom,
% 204.28/204.28 ! [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)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__setsum__nth,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_atLeastAtMost__upto,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__upto,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 204.28/204.28 ! [V_ns_2] :
% 204.28/204.28 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 204.28/204.28 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_elem__le__listsum__nat,axiom,
% 204.28/204.28 ! [V_ns,V_k] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__simps_I2_J,axiom,
% 204.28/204.28 ! [V_xs,V_x,T_a] :
% 204.28/204.28 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.28 => 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_atLeastLessThan__upto,axiom,
% 204.28/204.28 ! [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)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_greaterThanAtMost__upto,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__list__def,axiom,
% 204.28/204.28 ! [V_l_2] :
% 204.28/204.28 ( c_List_Onat__list(V_l_2)
% 204.28/204.28 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__size__pointwise,axiom,
% 204.28/204.28 ! [V_g_2,V_f_2,V_xs_2,T_a] :
% 204.28/204.28 ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_a,V_g_2,V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__update__nat,axiom,
% 204.28/204.28 ! [V_n,V_ns,V_k] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast__take,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_n] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__beyond,axiom,
% 204.28/204.28 ! [V_x,V_i,V_xs,T_a] :
% 204.28/204.28 ( 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))
% 204.28/204.28 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__id,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__list__update__neq,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a,V_j,V_i] :
% 204.28/204.28 ( V_i != V_j
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast__list__update,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a,V_k] :
% 204.28/204.28 ( ( 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))
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( 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))
% 204.28/204.28 => 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) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__list__update,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__update,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_update__zip,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__swap,axiom,
% 204.28/204.28 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 204.28/204.28 ( V_i != V_i_H
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__overwrite,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__code_I2_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__code_I3_J,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,tc_List_Olist(T_a)),c_List_Olist__update(T_a,V_xs_2)),V_v_2)),V_i_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__butlastD,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__update__subsetI,axiom,
% 204.28/204.28 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_A_2))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__update__subset__insert,axiom,
% 204.28/204.28 ! [V_x_2,V_i_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__list__update__eq,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__same__conv,axiom,
% 204.28/204.28 ! [V_x_2,V_xs_2,T_a,V_i_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 204.28/204.28 <=> hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__list__update,axiom,
% 204.28/204.28 ! [V_x,V_j,V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => ( ( V_i = V_j
% 204.28/204.28 => 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 )
% 204.28/204.28 & ( V_i != V_j
% 204.28/204.28 => 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) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__butlast,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_n] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__butlast,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__update__memI,axiom,
% 204.28/204.28 ! [V_x_2,V_xs_2,T_a,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_n_2),V_x_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast__conv__take,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel1__iff__update,axiom,
% 204.28/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 204.28/204.28 <=> ? [B_y,B_n] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),B_y)),V_r_2))
% 204.28/204.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),B_n),B_y) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__list__update,axiom,
% 204.28/204.28 ! [V_i_2,V_a_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__upto,axiom,
% 204.28/204.28 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__take,axiom,
% 204.28/204.28 ! [V_i,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__sublistI,axiom,
% 204.28/204.28 ! [V_I_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__zipI2,axiom,
% 204.28/204.28 ! [V_xs,T_b,V_ys,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__zipI1,axiom,
% 204.28/204.28 ! [V_ys,T_b,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))
% 204.28/204.28 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__card,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_card__distinct,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__eq__iff__index__eq,axiom,
% 204.28/204.28 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => ( hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2)
% 204.28/204.28 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__conv__nth,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 <=> ! [B_i] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => ! [B_j] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => ( B_i != B_j
% 204.28/204.28 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j) ) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_a),c_COMBI(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nitpick_Ocard_H__def,axiom,
% 204.28/204.28 ! [V_A_2,T_a] :
% 204.28/204.28 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => c_Nitpick_Ocard_H(T_a,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a)))) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => c_Nitpick_Ocard_H(T_a,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__take__lemma,axiom,
% 204.28/204.28 ! [V_ys,V_xs,T_a,V_k] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => ( 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)))
% 204.28/204.28 => ( ! [B_i] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 204.28/204.28 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 204.28/204.28 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__remove1__eq,axiom,
% 204.28/204.28 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Cons__number__of,axiom,
% 204.28/204.28 ! [V_xs,V_x,T_a,V_v] :
% 204.28/204.28 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lists_ONil,axiom,
% 204.28/204.28 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olists(T_a,V_A_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel__Nil1,axiom,
% 204.28/204.28 ! [V_r_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 204.28/204.28 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel__Nil2,axiom,
% 204.28/204.28 ! [V_r_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2)))
% 204.28/204.28 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__butlast,axiom,
% 204.28/204.28 ! [T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__remove1,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_x,T_a,V_xs] :
% 204.28/204.28 ( ( V_xs = c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 204.28/204.28 & ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_y,V_x] :
% 204.28/204.28 ( ( V_x = V_y
% 204.28/204.28 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 204.28/204.28 & ( V_x != V_y
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list_Osimps_I3_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list_Osimps_I2_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_upto__empty,axiom,
% 204.28/204.28 ! [V_i,V_j] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 204.28/204.28 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__0,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__eq__Nil,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 | V_xs_2 = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Nil,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublist__nil,axiom,
% 204.28/204.28 ! [V_A_2,T_a] : c_List_Osublist(T_a,c_List_Olist_ONil(T_a),V_A_2) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1_Osimps_I1_J,axiom,
% 204.28/204.28 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1__commute,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrelp_ONil,axiom,
% 204.28/204.28 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrelp_Oequations_I1_J,axiom,
% 204.28/204.28 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list_Osize_I1_J,axiom,
% 204.28/204.28 ! [V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip_Osimps_I1_J,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__Nil,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__simps_I1_J,axiom,
% 204.28/204.28 ! [T_a] :
% 204.28/204.28 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__0__conv,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list_Osize_I3_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : hAPP(c_List_Oset(T_a),c_List_Olist_ONil(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__empty2,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),V_xs_2)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__empty,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__nonempty,axiom,
% 204.28/204.28 ! [V_x_2,V_k_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update_Osimps_I1_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__code_I1_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1__idem,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Oremove1(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_notin__set__remove1,axiom,
% 204.28/204.28 ! [V_y_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_y_2,V_xs_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__remove1,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_b_2,V_a_2] :
% 204.28/204.28 ( V_a_2 != V_b_2
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_b_2,V_xs_2))))
% 204.28/204.28 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublist__empty,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__remove1__subset,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__greater__0__conv,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 <=> V_xs_2 != c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__1__Cons,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_not__Nil__listrel1,axiom,
% 204.28/204.28 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel1(T_a,V_r_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_not__listrel1__Nil,axiom,
% 204.28/204.28 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel1(T_a,V_r_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel_ONil,axiom,
% 204.28/204.28 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lexord__Nil__right,axiom,
% 204.28/204.28 ! [V_r_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olexord(T_a,V_r_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nil__notin__lex,axiom,
% 204.28/204.28 ! [V_r_2,V_ys_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_ys_2)),c_List_Olex(T_a,V_r_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nil2__notin__lex,axiom,
% 204.28/204.28 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olex(T_a,V_r_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Cons,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otake(T_a)),V_xs_2)),V_n_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_upto_Osimps,axiom,
% 204.28/204.28 ! [V_j,V_i] :
% 204.28/204.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 204.28/204.28 => 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)) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 204.28/204.28 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublist__singleton,axiom,
% 204.28/204.28 ! [V_x_2,T_a,V_A_2] :
% 204.28/204.28 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 204.28/204.28 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 204.28/204.28 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lists__empty,axiom,
% 204.28/204.28 ! [T_a] : c_List_Olists(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Cons_H,axiom,
% 204.28/204.28 ! [V_xs,V_x,T_a,V_n] :
% 204.28/204.28 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_upto__rec__number__of,axiom,
% 204.28/204.28 ! [V_n,V_m] :
% 204.28/204.28 ( ( 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)))
% 204.28/204.28 => 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))) )
% 204.28/204.28 & ( ~ 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)))
% 204.28/204.28 => 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) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel__Nil,axiom,
% 204.28/204.28 ! [V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__Cons__sing__Nil,axiom,
% 204.28/204.28 ! [V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_a,tc_List_Olist(T_a),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))),V_A_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__remove1,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_upto_Opsimps,axiom,
% 204.28/204.28 ! [V_j_2,V_i_2] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 204.28/204.28 => 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)) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 204.28/204.28 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_select,axiom,
% 204.28/204.28 ! [V_s_2,T_a,V_xs_2] :
% 204.28/204.28 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listset_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : c_List_Olistset(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__Cons,axiom,
% 204.28/204.28 ! [V_ys_2,V_y_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_a,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),T_a),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_a),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),c_List_Ozip(T_a,T_b)),V_ys_2))),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list_Osimps_I5_J,axiom,
% 204.28/204.28 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list_Osimps_I4_J,axiom,
% 204.28/204.28 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),c_List_Olist_ONil(T_b)) = V_f1_2 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listset_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_As_2,V_A_2,T_a] : c_List_Olistset(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_a,V_A_2,c_List_Olistset(T_a,V_As_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__Cons1,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_b,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_b),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)))),hAPP(c_List_Ozip(T_a,T_b),V_xs_2))),V_ys_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sorted__list__of__set__remove,axiom,
% 204.28/204.28 ! [V_x_2,V_A_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_List_Oremove1(T_a,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_upto_Opinduct,axiom,
% 204.28/204.28 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => ( ! [B_i,B_j] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 204.28/204.28 => 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)) )
% 204.28/204.28 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 204.28/204.28 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sorted__list__of__set__empty,axiom,
% 204.28/204.28 ! [T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_List_Olinorder__class_Osorted__list__of__set(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_anamorph_Osimps,axiom,
% 204.28/204.28 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 204.28/204.28 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 204.28/204.28 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2) )
% 204.28/204.28 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 204.28/204.28 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(tc_List_Olist(T_a),T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),c_COMBB(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),T_a),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),T_b))),c_List_Olist_OCons(T_a))))),hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublist__Cons,axiom,
% 204.28/204.28 ! [V_A_2,V_l_2,V_x_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_a)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olist_ONil(T_a))),c_List_Osublist(T_a,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append1__eq__conv,axiom,
% 204.28/204.28 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a)))
% 204.28/204.28 <=> ( V_xs_2 = V_ys_2
% 204.28/204.28 & V_x_2 = V_y_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Cons__eq__append__conv,axiom,
% 204.28/204.28 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2)
% 204.28/204.28 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 204.28/204.28 & hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = V_zs_2 )
% 204.28/204.28 | ? [B_ys_H] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) = V_ys_2
% 204.28/204.28 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__eq__Cons__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 204.28/204.28 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 204.28/204.28 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) )
% 204.28/204.28 | ? [B_ys_H] :
% 204.28/204.28 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H)
% 204.28/204.28 & hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Cons__eq__appendI,axiom,
% 204.28/204.28 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 204.28/204.28 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 204.28/204.28 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__Cons,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__in__lists__conv,axiom,
% 204.28/204.28 ! [V_A_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)),c_List_Olists(T_a,V_A_2)))
% 204.28/204.28 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 204.28/204.28 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__assoc,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__eq__append__conv2,axiom,
% 204.28/204.28 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_ts_2)
% 204.28/204.28 <=> ? [B_us] :
% 204.28/204.28 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),B_us)
% 204.28/204.28 & hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ys_2) = V_ts_2 )
% 204.28/204.28 | ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),B_us) = V_zs_2
% 204.28/204.28 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ts_2) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_same__append__eq,axiom,
% 204.28/204.28 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2)
% 204.28/204.28 <=> V_ys_2 = V_zs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__same__eq,axiom,
% 204.28/204.28 ! [V_zs_2,V_xs_2,V_ys_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_xs_2)
% 204.28/204.28 <=> V_ys_2 = V_zs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__eq__appendI,axiom,
% 204.28/204.28 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 204.28/204.28 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 204.28/204.28 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__append,axiom,
% 204.28/204.28 ! [V_ys,V_xs,T_a] :
% 204.28/204.28 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.28 => 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__append,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__append,axiom,
% 204.28/204.28 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 204.28/204.28 ( 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)
% 204.28/204.28 => ( 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)
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_eq__Nil__appendI,axiom,
% 204.28/204.28 ! [T_a,V_ys,V_xs] :
% 204.28/204.28 ( V_xs = V_ys
% 204.28/204.28 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__self__conv2,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_ys_2
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__self__conv,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_xs_2
% 204.28/204.28 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__is__Nil__conv,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 204.28/204.28 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_self__append__conv2,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_ys_2] :
% 204.28/204.28 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_self__append__conv,axiom,
% 204.28/204.28 ! [V_ys_2,T_a,V_xs_2] :
% 204.28/204.28 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 204.28/204.28 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__Nil2,axiom,
% 204.28/204.28 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nil__is__append__conv,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 204.28/204.28 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 204.28/204.28 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__Nil,axiom,
% 204.28/204.28 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast__append,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_ys] :
% 204.28/204.28 ( ( V_ys = c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 204.28/204.28 & ( V_ys != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__append__length,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__append__length__plus,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__append,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__append1,axiom,
% 204.28/204.28 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__length,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)),V_ys_2) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oremove1(T_a,V_x_2,V_ys_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__butlast__appendI,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 204.28/204.28 | hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_ys_2)))) )
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast__snoc,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__listrel1I,axiom,
% 204.28/204.28 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 204.28/204.28 & V_us_2 = V_vs_2 )
% 204.28/204.28 | ( V_xs_2 = V_ys_2
% 204.28/204.28 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_us_2),V_vs_2)),c_List_Olistrel1(T_a,V_r_2))) ) )
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_vs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lexord__append__leftI,axiom,
% 204.28/204.28 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 204.28/204.28 <=> ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 & hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 204.28/204.28 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__append,axiom,
% 204.28/204.28 ! [V_ys,V_xs,T_a,V_n] :
% 204.28/204.28 ( ( 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)))
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( ~ 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)))
% 204.28/204.28 => 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))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__update__append,axiom,
% 204.28/204.28 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 204.28/204.28 ( ( 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)))
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( ~ 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)))
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublist__append,axiom,
% 204.28/204.28 ! [V_A_2,V_l_H_2,V_l_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Osublist(T_a,V_l_2,V_A_2)),c_List_Osublist(T_a,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_l_2)))),V_A_2)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel1I,axiom,
% 204.28/204.28 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 204.28/204.28 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_vs_2))
% 204.28/204.28 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_vs_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lexord__append__left__rightI,axiom,
% 204.28/204.28 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2)))),c_List_Olexord(T_a,V_r_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Suc__conv__app__nth,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 204.28/204.28 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)))),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))))),c_List_Olistrel1(T_a,V_r_2)))
% 204.28/204.28 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 204.28/204.28 & V_x_2 = V_y_2 )
% 204.28/204.28 | ( V_xs_2 = V_ys_2
% 204.28/204.28 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listrel1E,axiom,
% 204.28/204.28 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 204.28/204.28 => ~ ! [B_x,B_y] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 204.28/204.28 => ! [B_us,B_vs] :
% 204.28/204.28 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_vs))
% 204.28/204.28 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_vs)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lexord__append__leftD,axiom,
% 204.28/204.28 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2)))
% 204.28/204.28 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_a)),V_r_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate1__def,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_List_Orotate1(T_a),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)))),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_upd__conv__take__nth__drop,axiom,
% 204.28/204.28 ! [V_a,V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__take__drop__id,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__1__Cons,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__Suc__Cons,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__via__drop,axiom,
% 204.28/204.28 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 204.28/204.28 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct1__rotate,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)))
% 204.28/204.28 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__drop,axiom,
% 204.28/204.28 ! [V_i,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__butlast,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_butlast__drop,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__take,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__drop,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__0,axiom,
% 204.28/204.28 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__drop,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__zip,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__rotate1,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__drop,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__rotate1,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__set__dropD,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__drop__subset,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate1__is__Nil__conv,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_List_Orotate1(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__Nil,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__drop__subset__set__drop,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_m_2,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__eq__Nil,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_n_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__all,axiom,
% 204.28/204.28 ! [V_n,V_xs,T_a] :
% 204.28/204.28 ( 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))
% 204.28/204.28 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__append,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__eq__conv__conj,axiom,
% 204.28/204.28 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_zs_2
% 204.28/204.28 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2)
% 204.28/204.28 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__Cons,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Odrop(T_a)),V_xs_2),V_n_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__Cons_H,axiom,
% 204.28/204.28 ! [V_xs,V_x,T_a,V_n] :
% 204.28/204.28 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__drop,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_i,V_n] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__eq__append__conv__if,axiom,
% 204.28/204.28 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 204.28/204.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 204.28/204.28 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 204.28/204.28 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 204.28/204.28 => ( hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 204.28/204.28 & hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__drop_H,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__simps,axiom,
% 204.28/204.28 ! [V_xs,V_x,T_b,T_a] :
% 204.28/204.28 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 204.28/204.28 & 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__Cons__number__of,axiom,
% 204.28/204.28 ! [V_xs,V_x,T_a,V_v] :
% 204.28/204.28 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__add,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_j,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate1__length01,axiom,
% 204.28/204.28 ! [V_xs,T_a] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__append2,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__append1,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_id__take__nth__drop,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_i] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__hd__drop,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_n] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__drop__conv__nth,axiom,
% 204.28/204.28 ! [V_n,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => ( 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)))
% 204.28/204.28 => 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) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd_Osimps,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__append,axiom,
% 204.28/204.28 ! [V_ys,T_a,V_xs] :
% 204.28/204.28 ( ( V_xs = c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__append2,axiom,
% 204.28/204.28 ! [V_ys,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__in__set,axiom,
% 204.28/204.28 ! [T_a,V_xs_2] :
% 204.28/204.28 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__conv__nth,axiom,
% 204.28/204.28 ! [T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate1__hd__tl,axiom,
% 204.28/204.28 ! [T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__rotate__conv__nth,axiom,
% 204.28/204.28 ! [V_n,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_tl__drop,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__tl,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_tl_Osimps_I2_J,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__rotate,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)))
% 204.28/204.28 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__tl,axiom,
% 204.28/204.28 ! [V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__add,axiom,
% 204.28/204.28 ! [V_n_2,V_m_2,T_a] : c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orotate(T_a,V_m_2)),c_List_Orotate(T_a,V_n_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate0,axiom,
% 204.28/204.28 ! [T_a] : c_List_Orotate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__rotate,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__rotate,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__rotate,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__is__Nil__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] :
% 204.28/204.28 ( hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_tl_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__def,axiom,
% 204.28/204.28 ! [V_n_2,T_a] : c_List_Orotate(T_a,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_n_2),c_List_Orotate1(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate1__rotate__swap,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_tl__append2,axiom,
% 204.28/204.28 ! [V_ys,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__tl,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__conv__mod,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__Suc,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__Suc,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_tl__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,hAPP(c_List_Otl(T_a),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a)),V_ys_2))),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__id,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_n] :
% 204.28/204.28 ( 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)
% 204.28/204.28 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__length01,axiom,
% 204.28/204.28 ! [V_n,V_xs,T_a] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__tl,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_tl__take,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__Suc,axiom,
% 204.28/204.28 ! [V_n,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__drop__take,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_fold1__set,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 204.28/204.28 => ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Otl(T_a),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lexord__append__rightI,axiom,
% 204.28/204.28 ! [V_r_2,V_x_2,T_a,V_y_2] :
% 204.28/204.28 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_b),B_z)
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__Nil,axiom,
% 204.28/204.28 ! [V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),c_List_Olist_ONil(T_b)) = V_a_2 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_start__le__sum,axiom,
% 204.28/204.28 ! [V_ns_2,V_n_2,V_m_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__absorb0,axiom,
% 204.28/204.28 ! [V_zs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_zs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_zs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__assoc,axiom,
% 204.28/204.28 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Groups_Osemigroup__add(T_a)
% 204.28/204.28 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_y_2),V_zs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__Cons,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__foldl,axiom,
% 204.28/204.28 ! [T_a] :
% 204.28/204.28 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.28 => c_List_Omonoid__add__class_Olistsum(T_a) = c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sum__eq__0__conv,axiom,
% 204.28/204.28 ! [V_ns_2,V_m_2] :
% 204.28/204.28 ( 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)
% 204.28/204.28 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 & ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 204.28/204.28 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 204.28/204.28 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 204.28/204.28 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Sup__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.28 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Inf__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.28 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Sup__fin__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Lattices_Olattice(T_a)
% 204.28/204.28 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Inf__fin__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Lattices_Olattice(T_a)
% 204.28/204.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Min__fin__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Max__fin__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_SUPR__set__fold,axiom,
% 204.28/204.28 ! [V_f_2,V_xs_2,T_b,T_a] :
% 204.28/204.28 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.28 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_INFI__set__fold,axiom,
% 204.28/204.28 ! [V_f_2,V_xs_2,T_b,T_a] :
% 204.28/204.28 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.28 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_f_2)),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_elem__le__sum,axiom,
% 204.28/204.28 ! [V_ns_2,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sorted__list__of__set__insert,axiom,
% 204.28/204.28 ! [V_x_2,V_A_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lexord__Nil__left,axiom,
% 204.28/204.28 ! [V_r_2,V_y_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 204.28/204.28 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_x) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__key_Osimps_I1_J,axiom,
% 204.28/204.28 ! [V_x_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__key_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_ys_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 204.28/204.28 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 204.28/204.28 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__key__left__comm,axiom,
% 204.28/204.28 ! [V_xs_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 204.28/204.28 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_fun__left__comm__insort,axiom,
% 204.28/204.28 ! [T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_Finite__Set_Ofun__left__comm(T_a,tc_List_Olist(T_a),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__left__comm,axiom,
% 204.28/204.28 ! [V_xs_2,V_y_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__insort,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__insort,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1__insort,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__not__Nil,axiom,
% 204.28/204.28 ! [V_xs_2,V_a_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__insort,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)))
% 204.28/204.28 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__insert__insort__key,axiom,
% 204.28/204.28 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 204.28/204.28 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__insert__insort,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__insort__insert,axiom,
% 204.28/204.28 ! [V_x_2,V_f_2,V_xs_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__insert__triv,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__insort__insert,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_insort__insert__key__triv,axiom,
% 204.28/204.28 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 204.28/204.28 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__list__update,axiom,
% 204.28/204.28 ! [V_x,V_k,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => ( ( 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))
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 204.28/204.28 & ( 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))
% 204.28/204.28 => 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) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__conv__nth,axiom,
% 204.28/204.28 ! [T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last_Osimps,axiom,
% 204.28/204.28 ! [V_x,T_a,V_xs] :
% 204.28/204.28 ( ( V_xs = c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 204.28/204.28 & ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__ConsR,axiom,
% 204.28/204.28 ! [V_x,T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__ConsL,axiom,
% 204.28/204.28 ! [V_x,T_a,V_xs] :
% 204.28/204.28 ( V_xs = c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__appendL,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_ys] :
% 204.28/204.28 ( V_ys = c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__appendR,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_ys] :
% 204.28/204.28 ( V_ys != c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__append,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_ys] :
% 204.28/204.28 ( ( V_ys = c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 204.28/204.28 & ( V_ys != c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__in__set,axiom,
% 204.28/204.28 ! [T_a,V_as_2] :
% 204.28/204.28 ( V_as_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),c_List_Olast(T_a,V_as_2)),hAPP(c_List_Oset(T_a),V_as_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__snoc,axiom,
% 204.28/204.28 ! [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 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__drop,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_n] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_snoc__eq__iff__butlast,axiom,
% 204.28/204.28 ! [V_ys_2,V_x_2,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = V_ys_2
% 204.28/204.28 <=> ( V_ys_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 & c_List_Obutlast(T_a,V_ys_2) = V_xs_2
% 204.28/204.28 & c_List_Olast(T_a,V_ys_2) = V_x_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__butlast__last__id,axiom,
% 204.28/204.28 ! [T_a,V_xs] :
% 204.28/204.28 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.28 => 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 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lists_Osimps,axiom,
% 204.28/204.28 ! [V_A_2,V_a_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_a_2),c_List_Olists(T_a,V_A_2)))
% 204.28/204.28 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 204.28/204.28 | ? [B_a,B_l] :
% 204.28/204.28 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_l)
% 204.28/204.28 & hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 204.28/204.28 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_l),c_List_Olists(T_a,V_A_2))) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_select__weigth__select,axiom,
% 204.28/204.28 ! [T_a,V_xs_2] :
% 204.28/204.28 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_a,V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_inj__mapI,axiom,
% 204.28/204.28 ! [V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.28 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_last__map,axiom,
% 204.28/204.28 ! [V_f_2,T_b,T_a,V_xs_2] :
% 204.28/204.28 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => c_List_Olast(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_a,V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_c,V_a_2,V_g_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__tl,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Otl(T_b),V_xs_2)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_rotate__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(c_List_Orotate(T_a,V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__map2,axiom,
% 204.28/204.28 ! [V_ys_2,V_f_2,T_c,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_a,T_c),V_xs_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__zip__map2,axiom,
% 204.28/204.28 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_c)),tc_fun(T_d,T_a),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_d),V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__zip__map,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_g_2,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_c),V_f_2)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__map1,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_b),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__map__map,axiom,
% 204.28/204.28 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),T_c),c_COMBB(T_b,tc_prod(T_a,T_b),T_d)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__same__conv__map,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nil__is__map__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map_Osimps_I1_J,axiom,
% 204.28/204.28 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__is__Nil__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__update,axiom,
% 204.28/204.28 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__eq__conv,axiom,
% 204.28/204.28 ! [V_g_2,V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 204.28/204.28 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__eq__imp__length__eq,axiom,
% 204.28/204.28 ! [V_ys_2,V_g_2,T_c,V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_a),V_g_2),V_ys_2)
% 204.28/204.28 => 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) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__addf,axiom,
% 204.28/204.28 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__0,axiom,
% 204.28/204.28 ! [V_xs_2,T_b,T_a] :
% 204.28/204.28 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__const__mult,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,V_ca_2,T_b,T_a] :
% 204.28/204.28 ( class_Rings_Osemiring__0(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__mult__const,axiom,
% 204.28/204.28 ! [V_xs_2,V_ca_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( class_Rings_Osemiring__0(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),V_ca_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__subtractf,axiom,
% 204.28/204.28 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( class_Groups_Oab__group__add(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_inj__map__eq__map,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.28 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 204.28/204.28 <=> V_xs_2 = V_ys_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__injective,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 204.28/204.28 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.28 => V_xs_2 = V_ys_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__ident,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)),V_xs_2) = V_xs_2 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_take__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__butlast,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Obutlast(T_b,V_xs_2)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_hd__map,axiom,
% 204.28/204.28 ! [V_f_2,T_b,T_a,V_xs_2] :
% 204.28/204.28 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.28 => hAPP(c_List_Ohd(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_drop__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_List_Omap_Ocompositionality,axiom,
% 204.28/204.28 ! [V_list_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_list_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__comp__map,axiom,
% 204.28/204.28 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_List_Omap_Ocomp,axiom,
% 204.28/204.28 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_List_Omap_Oid,axiom,
% 204.28/204.28 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_List_Omap_Oidentity,axiom,
% 204.28/204.28 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__size__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_g_2,T_b,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_b,hAPP(c_Fun_Ocomp(T_a,tc_Nat_Onat,T_b,V_f_2),V_g_2),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__inj__on,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 204.28/204.28 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 204.28/204.28 => V_xs_2 = V_ys_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_inj__on__map__eq__map,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 204.28/204.28 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 204.28/204.28 <=> V_xs_2 = V_ys_2 ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__map,axiom,
% 204.28/204.28 ! [V_f_2,T_b,V_xs_2,T_a,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__fun__upd,axiom,
% 204.28/204.28 ! [V_v_2,V_f_2,T_b,V_xs_2,V_y_2,T_a] :
% 204.28/204.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hAPP(hAPP(c_List_Omap(T_a,T_b),c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 204.28/204.28 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 204.28/204.28 & c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__abs,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_a,T_a),c_Groups_Oabs__class_Oabs(T_a)),V_xs_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_uminus__listsum__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( class_Groups_Oab__group__add(T_a)
% 204.28/204.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(T_a,T_a,T_b,c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_inj__on__mapI,axiom,
% 204.28/204.28 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),V_A_2)))
% 204.28/204.28 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),V_A_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_inj__mapD,axiom,
% 204.28/204.28 ! [V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 204.28/204.28 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_inj__map,axiom,
% 204.28/204.28 ! [V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 204.28/204.28 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 204.28/204.28 ! [V_f_2,V_xs_2,T_a,T_b] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__triv,axiom,
% 204.28/204.28 ! [V_xs_2,V_r_2,T_b,T_a] :
% 204.28/204.28 ( class_Rings_Osemiring__1(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),V_r_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__map__remove1,axiom,
% 204.28/204.28 ! [V_f_2,V_xs_2,V_x_2,T_a,T_b] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 204.28/204.28 ! [V_f_2,V_A_2,T_a,T_b] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 204.28/204.28 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a))))) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.28 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_pick__same,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_l_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_l_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zero__code__numeral__def,axiom,
% 204.28/204.28 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_times__code__numeral__code,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 204.28/204.28 ! [V_m_2,V_n_2] :
% 204.28/204.28 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 204.28/204.28 <=> V_n_2 = V_m_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 204.28/204.28 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_one__code__numeral__def,axiom,
% 204.28/204.28 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_less__code__numeral__code,axiom,
% 204.28/204.28 ! [V_m_2,V_n_2] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 204.28/204.28 ! [V_y_2,V_x_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 204.28/204.28 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 204.28/204.28 <=> V_x_2 = V_y_2 ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__fst__zip,axiom,
% 204.28/204.28 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 204.28/204.28 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__snd__zip,axiom,
% 204.28/204.28 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 204.28/204.28 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_number__of__code__numeral__def,axiom,
% 204.28/204.28 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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__map__fst__snd,axiom,
% 204.28/204.28 ! [V_zs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2)) = V_zs_2 ).
% 204.28/204.28
% 204.28/204.28 fof(fact_plus__code__numeral__code,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_less__eq__code__numeral__code,axiom,
% 204.28/204.28 ! [V_m_2,V_n_2] :
% 204.28/204.28 ( 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)))
% 204.28/204.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_pick__member,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_i_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Random_Opick(T_a,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_zip__eq__conv,axiom,
% 204.28/204.28 ! [V_zs_2,V_ys_2,T_b,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 204.28/204.28 => ( hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2) = V_zs_2
% 204.28/204.28 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2) = V_xs_2
% 204.28/204.28 & hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2) = V_ys_2 ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__size__conv__listsum,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_a,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_code__numeral__not__eq__zero,axiom,
% 204.28/204.28 ! [V_i_2] :
% 204.28/204.28 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 204.28/204.28 <=> 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 204.28/204.28 ! [V_l_2,V_k_2,V_f_2,T_a] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.28 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 204.28/204.28 ! [V_j_2,V_i_2,V_f_2,T_a] :
% 204.28/204.28 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_select__weight__member,axiom,
% 204.28/204.28 ! [V_s_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_select__weight__def,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_a,V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_select__def,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : c_Random_Oselect(T_a,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_a),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_subtract__code__numeral__code,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_times__code__numeral__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__of__of__nat,axiom,
% 204.28/204.28 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 204.28/204.28
% 204.28/204.28 fof(fact_of__nat__nat__of,axiom,
% 204.28/204.28 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__of__inverse,axiom,
% 204.28/204.28 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 204.28/204.28
% 204.28/204.28 fof(fact_code__numeral_Onat__of__inject,axiom,
% 204.28/204.28 ! [V_y_2,V_x_2] :
% 204.28/204.28 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 204.28/204.28 <=> V_x_2 = V_y_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 204.28/204.28 ! [V_l_2,V_k_2] :
% 204.28/204.28 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 204.28/204.28 <=> V_k_2 = V_l_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_type__definition__code__numeral,axiom,
% 204.28/204.28 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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_less__code__numeral__def,axiom,
% 204.28/204.28 ! [V_m_2,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 204.28/204.28 <=> 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__of,axiom,
% 204.28/204.28 ! [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)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__of__number,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_int__of__def,axiom,
% 204.28/204.28 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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_less__eq__code__numeral__def,axiom,
% 204.28/204.28 ! [V_m_2,V_n_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 204.28/204.28 <=> 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__of__code,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nat__of__aux__def,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Suc__code__numeral__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_minus__code__numeral__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_of__nat__inverse,axiom,
% 204.28/204.28 ! [V_y_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 204.28/204.28 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_plus__code__numeral__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_div__code__numeral__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_subtract__code__numeral__def,axiom,
% 204.28/204.28 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_minus__code__numeral__code,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_mod__code__numeral__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_code__numeral__decr,axiom,
% 204.28/204.28 ! [V_k] :
% 204.28/204.28 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 204.28/204.28 => 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))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsum__mono,axiom,
% 204.28/204.28 ! [V_g_2,V_f_2,V_xs_2,T_a,T_b] :
% 204.28/204.28 ( ( class_Groups_Omonoid__add(T_b)
% 204.28/204.28 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 204.28/204.28 => ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_g_2),V_xs_2)))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition__set,axiom,
% 204.28/204.28 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_a] :
% 204.28/204.28 ( c_List_Opartition(T_a,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 204.28/204.28 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_yes_2)),hAPP(c_List_Oset(T_a),V_no_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lists__IntI,axiom,
% 204.28/204.28 ! [V_B_2,V_A_2,V_l_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_A_2)))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_B_2)))
% 204.28/204.28 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_l_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp_ONil,axiom,
% 204.28/204.28 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp_Oequations_I1_J,axiom,
% 204.28/204.28 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_in__listsp__conv__set,axiom,
% 204.28/204.28 ! [V_xs_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp__conj__eq,axiom,
% 204.28/204.28 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 204.28/204.28 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_x_2))
% 204.28/204.28 & hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_x_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp__inf__eq,axiom,
% 204.28/204.28 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp__infI,axiom,
% 204.28/204.28 ! [V_B_2,V_l_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_l_2))
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_l_2))
% 204.28/204.28 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp_Oequations_I2_J,axiom,
% 204.28/204.28 ! [V_a2_2,V_a1_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a2_2)))
% 204.28/204.28 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 204.28/204.28 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_a2_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_append__in__listsp__conv,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 204.28/204.28 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 204.28/204.28 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_ys_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp__mono,axiom,
% 204.28/204.28 ! [V_B_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition__P,axiom,
% 204.28/204.28 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_a] :
% 204.28/204.28 ( c_List_Opartition(T_a,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 204.28/204.28 => ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_yes_2)))
% 204.28/204.28 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.28 & ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_no_2)))
% 204.28/204.28 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition_Osimps_I1_J,axiom,
% 204.28/204.28 ! [V_Pa_2,T_a] : c_List_Opartition(T_a,V_Pa_2,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_listsp__lists__eq,axiom,
% 204.28/204.28 ! [V_x_2,V_A_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 204.28/204.28 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_x_2),c_List_Olists(T_a,V_A_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_Pa_2,T_a] : c_List_Opartition(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),hAPP(c_If(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_List_Olist_OCons(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_List_Olist(T_a))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_List_Opartition(T_a,V_Pa_2,V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_lists__Int__eq,axiom,
% 204.28/204.28 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_B_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_product_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_a,T_b)),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__def,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 204.28/204.28 & ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__map1,axiom,
% 204.28/204.28 ! [V_bs_2,V_as_2,V_f_2,T_c,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_as_2),V_bs_2)
% 204.28/204.28 <=> c_List_Olist__all2(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__map2,axiom,
% 204.28/204.28 ! [V_bs_2,V_f_2,T_c,V_as_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_bs_2))
% 204.28/204.28 <=> c_List_Olist__all2(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_c)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__dropI,axiom,
% 204.28/204.28 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_as_2,V_bs_2)
% 204.28/204.28 => c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_bs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__appendI,axiom,
% 204.28/204.28 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_a_2,V_b_2)
% 204.28/204.28 => ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_ca_2,V_d_2)
% 204.28/204.28 => c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_b),V_b_2),V_d_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__append,axiom,
% 204.28/204.28 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_b,V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 204.28/204.28 => ( c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))
% 204.28/204.28 <=> ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 & c_List_Olist__all2(T_a,T_b,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__Cons,axiom,
% 204.28/204.28 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 204.28/204.28 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 204.28/204.28 & c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__takeI,axiom,
% 204.28/204.28 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 => c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_ys_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__eq,axiom,
% 204.28/204.28 ! [T_a,V_ys_2,V_xs_2] :
% 204.28/204.28 ( V_xs_2 = V_ys_2
% 204.28/204.28 <=> c_List_Olist__all2(T_a,T_a,c_fequal,V_xs_2,V_ys_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__lengthD,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__Nil2,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_b))
% 204.28/204.28 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__Nil,axiom,
% 204.28/204.28 ! [V_ys_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,c_List_Olist_ONil(T_a),V_ys_2)
% 204.28/204.28 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_product_Osimps_I1_J,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__nthD2,axiom,
% 204.28/204.28 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__nthD,axiom,
% 204.28/204.28 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__conv__all__nth,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 204.28/204.28 & ! [B_i] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i))) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__update__cong2,axiom,
% 204.28/204.28 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.28 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 204.28/204.28 => c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2__update__cong,axiom,
% 204.28/204.28 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_b,V_xs_2,T_a,V_i_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => ( c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2)
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 204.28/204.28 => c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__product,axiom,
% 204.28/204.28 ! [V_ys,T_b,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_product__list__set,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_List_Oset(T_b),V_ys_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublists__powset,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_Osublists(T_a,V_xs_2))) = hAPP(c_Set_OPow(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__sublists,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublists_Osimps_I1_J,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sublists_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] : c_Enum_Osublists(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_a)),tc_fun(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(tc_List_Olist(T_a))),c_List_Oappend(tc_List_Olist(T_a))),hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_a))))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__set__sublists,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),c_List_Oset(T_a)),c_Enum_Osublists(T_a,V_xs_2)))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__n__lists,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_enum__the__def,axiom,
% 204.28/204.28 ! [V_Pa_2,T_a] : c_Enum_Oenum__the(T_a,V_Pa_2) = c_HOL_OThe(T_a,V_Pa_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__n__lists,axiom,
% 204.28/204.28 ! [V_n,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_n__lists_Osimps_I1_J,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_n__lists__Nil,axiom,
% 204.28/204.28 ! [T_a,V_n] :
% 204.28/204.28 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => 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))) )
% 204.28/204.28 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.28 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__n__lists,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__n__lists__elem,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,V_ys_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))))
% 204.28/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_list__all2I,axiom,
% 204.28/204.28 ! [V_Pa_2,V_b_2,V_a_2,T_b,T_a] :
% 204.28/204.28 ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_a_2),V_b_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_Pa_2),B_x)) )
% 204.28/204.28 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 204.28/204.28 => c_List_Olist__all2(T_a,T_b,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_all__nth__imp__all__set,axiom,
% 204.28/204.28 ! [V_x_2,V_Pa_2,V_xs_2,T_a] :
% 204.28/204.28 ( ! [B_i] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 204.28/204.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 204.28/204.28 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 204.28/204.28 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__removeAll__inj__on,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__remdups,axiom,
% 204.28/204.28 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__remdups__leq,axiom,
% 204.28/204.28 ! [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))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups__id__iff__distinct,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( c_List_Oremdups(T_a,V_xs_2) = V_xs_2
% 204.28/204.28 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__removeAll,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__remdups__id,axiom,
% 204.28/204.28 ! [V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__remdups,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__remdups__eq,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 204.28/204.28 <=> c_List_Oremdups(T_a,V_xs_2) = V_xs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups__remdups,axiom,
% 204.28/204.28 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups__eq__nil__right__iff,axiom,
% 204.28/204.28 ! [V_x_2,T_a] :
% 204.28/204.28 ( c_List_Olist_ONil(T_a) = c_List_Oremdups(T_a,V_x_2)
% 204.28/204.28 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_removeAll_Osimps_I1_J,axiom,
% 204.28/204.28 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups__eq__nil__iff,axiom,
% 204.28/204.28 ! [V_x_2,T_a] :
% 204.28/204.28 ( c_List_Oremdups(T_a,V_x_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_removeAll_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs,T_a,V_y,V_x] :
% 204.28/204.28 ( ( V_x = V_y
% 204.28/204.28 => 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) )
% 204.28/204.28 & ( V_x != V_y
% 204.28/204.28 => 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)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_removeAll__append,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups__map__remdups,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremdups(T_b,V_xs_2))) = c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1__remdups,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => 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)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_removeAll__id,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2) = V_xs_2 ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__remove1__removeAll,axiom,
% 204.28/204.28 ! [V_x,V_xs,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.28 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Oremdups(T_a,V_xs_2) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oremdups(T_a,V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__remdups__card__conv,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__removeAll__inj,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 204.28/204.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.28 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__removeAll,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__remdups__concat,axiom,
% 204.28/204.28 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,c_List_Oconcat(T_a,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)),c_List_Oset(T_a))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sort__key__simps_I1_J,axiom,
% 204.28/204.28 ! [V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_foldl__conv__concat,axiom,
% 204.28/204.28 ! [V_xss_2,V_xs_2,T_a] : hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oconcat(T_a,V_xss_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat__conv__foldl,axiom,
% 204.28/204.28 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_xss_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__sort,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__sort,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__sort,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => ( hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)))
% 204.28/204.28 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat_Osimps_I1_J,axiom,
% 204.28/204.28 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat_Osimps_I2_J,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_Nil__eq__concat__conv,axiom,
% 204.28/204.28 ! [V_xss_2,T_a] :
% 204.28/204.28 ( c_List_Olist_ONil(T_a) = c_List_Oconcat(T_a,V_xss_2)
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 204.28/204.28 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat__eq__Nil__conv,axiom,
% 204.28/204.28 ! [V_xss_2,T_a] :
% 204.28/204.28 ( c_List_Oconcat(T_a,V_xss_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 204.28/204.28 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_map__concat,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__concat,axiom,
% 204.28/204.28 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oconcat(T_a,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xss_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__concat,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oconcat(T_a,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)),c_List_Oset(T_a)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sort__key__simps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat__append,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sort__foldl__insort,axiom,
% 204.28/204.28 ! [V_xs_2,T_a] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_a)
% 204.28/204.28 => c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))),c_List_Olist_ONil(T_a)),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat__eq__concat__iff,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 204.28/204.28 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 204.28/204.28 => ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 204.28/204.28 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat__injective,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.28 ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 204.28/204.28 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 204.28/204.28 => ( ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 204.28/204.28 => V_xs_2 = V_ys_2 ) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_concat__map__singleton,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_b),c_List_Olist_OCons(T_a)),V_f_2)),c_List_Olist_ONil(T_a))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_n__lists_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,V_n_2,T_a] : c_Enum_On__lists(T_a,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_List_Omap(T_a,tc_List_Olist(T_a))),hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),V_xs_2)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_transpose_Osimps_I3_J,axiom,
% 204.28/204.28 ! [V_xss_2,V_xs_2,V_x_2,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_transpose__aux__filter__head,axiom,
% 204.28/204.28 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),c_List_Ohd(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__concat,axiom,
% 204.28/204.28 ! [V_xs_2,V_p_2,T_a] : hAPP(c_List_Ofilter(T_a,V_p_2),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Ofilter(T_a,V_p_2)),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__sort,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,V_Pa_2,T_a,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => hAPP(c_List_Ofilter(T_a,V_Pa_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_distinct__filter,axiom,
% 204.28/204.28 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.28 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2))) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__is__subset,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__id__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.28 ( hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) = V_xs_2
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__filter__le,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_sum__length__filter__compl,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition__filter1,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__filter,axiom,
% 204.28/204.28 ! [V_xs_2,V_Qa_2,V_Pa_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(c_List_Ofilter(T_a,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Qa_2)),V_Pa_2)),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remove1__filter__not,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.28 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.28 => c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__remove1,axiom,
% 204.28/204.28 ! [V_xs_2,V_x_2,V_Qa_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Qa_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Qa_2),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__insort__triv,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a,V_x_2,V_Pa_2,T_b] :
% 204.28/204.28 ( class_Orderings_Olinorder(T_b)
% 204.28/204.28 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.28 => hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,V_Pa_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_Pa_2),V_f_2)),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_transpose_Osimps_I1_J,axiom,
% 204.28/204.28 ! [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)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter_Osimps_I1_J,axiom,
% 204.28/204.28 ! [V_Pa_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Pa_2),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter_Osimps_I2_J,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.28 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.28 => hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) )
% 204.28/204.28 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.28 => hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__append,axiom,
% 204.28/204.28 ! [V_ys_2,V_xs_2,V_Pa_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_ys_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_filter__empty__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.28 ( hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.28 <=> ! [B_x] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_removeAll__filter__not__eq,axiom,
% 204.28/204.28 ! [V_x_2,T_a] : c_List_OremoveAll(T_a,V_x_2) = c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_removeAll__filter__not,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.28 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.28 => hAPP(c_List_OremoveAll(T_a,V_x_2),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_remdups__filter,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : c_List_Oremdups(T_a,hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),c_List_Oremdups(T_a,V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition__filter2,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_Pa_2)),V_xs_2) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_transpose_Osimps_I2_J,axiom,
% 204.28/204.28 ! [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) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_nth__transpose,axiom,
% 204.28/204.28 ! [V_xs_2,T_a,V_i_2] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2))))
% 204.28/204.28 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_transpose__map__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),c_List_Otranspose(T_b,V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_set__filter,axiom,
% 204.28/204.28 ! [V_xs_2,V_Pa_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)))),V_Pa_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__filter__map,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_b,V_Pa_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_Pa_2),V_f_2)),V_xs_2)) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_length__filter__less,axiom,
% 204.28/204.28 ! [V_Pa_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.28 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ) ).
% 204.28/204.28
% 204.28/204.28 fof(fact_partition__filter__conv,axiom,
% 204.28/204.28 ! [V_xs_2,V_f_2,T_a] : c_List_Opartition(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_f_2)),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__minus__filter__out,axiom,
% 204.28/204.29 ! [V_y_2,V_xs_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_filter__in__sublist,axiom,
% 204.28/204.29 ! [V_s_2,V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_a,V_xs_2,V_s_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__empty,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Otranspose(T_a,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_a))
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__filter__conv__card,axiom,
% 204.28/204.29 ! [V_xs_2,V_p_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_a),V_xs_2))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__aux__filter__tail,axiom,
% 204.28/204.29 ! [V_xss_2,T_a] : c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otl(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose_Opsimps_I3_J,axiom,
% 204.28/204.29 ! [V_xss_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)))
% 204.28/204.29 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose_Opsimps_I2_J,axiom,
% 204.28/204.29 ! [V_xss_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)))
% 204.28/204.29 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)) = c_List_Otranspose(T_a,V_xss_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sublist__shift__lemma__Suc,axiom,
% 204.28/204.29 ! [V_is_2,V_xs_2,V_Pa_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_a,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_a,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_select__weigth__drop__zero,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pick__drop__zero,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : c_Random_Opick(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_a,V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose_Opsimps_I1_J,axiom,
% 204.28/204.29 ! [T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))))
% 204.28/204.29 => c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__max__length,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__aux__max,axiom,
% 204.28/204.29 ! [V_xss_2,T_b,V_xs_2,T_a] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr_Osimps_I1_J,axiom,
% 204.28/204.29 ! [V_a_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b),V_a_2) = V_a_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr_Osimps_I2_J,axiom,
% 204.28/204.29 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr__append,axiom,
% 204.28/204.29 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,c_List_Ofoldr(T_b,T_a,V_f_2,V_ys_2,V_a_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr__conv__foldl,axiom,
% 204.28/204.29 ! [V_a_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Groups_Oab__semigroup__add(T_a)
% 204.28/204.29 => c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr__map,axiom,
% 204.28/204.29 ! [V_a_2,V_xs_2,V_f_2,T_c,V_g_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_g_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_c,T_a,hAPP(c_Fun_Ocomp(T_b,tc_fun(T_a,T_a),T_c,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldl__foldr1,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.29 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_xs_2) = c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldl__foldr1__lemma,axiom,
% 204.28/204.29 ! [V_xs_2,V_a_2,T_a] :
% 204.28/204.29 ( class_Groups_Omonoid__add(T_a)
% 204.28/204.29 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__transpose,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sublist__def,axiom,
% 204.28/204.29 ! [V_A_2,V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sublist__shift__lemma,axiom,
% 204.28/204.29 ! [V_i_2,V_xs_2,V_A_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_a,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_atLeastLessThan__upt,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__upt,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__Suc__append,axiom,
% 204.28/204.29 ! [V_j,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => 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))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__Suc,axiom,
% 204.28/204.29 ! [V_j,V_i] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => 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))) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__add__eq__append,axiom,
% 204.28/204.29 ! [V_k,V_j,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => 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))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__rec,axiom,
% 204.28/204.29 ! [V_j,V_i] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => 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)) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__conv__Cons,axiom,
% 204.28/204.29 ! [V_j,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => 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)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__eq__Nil__conv,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2] :
% 204.28/204.29 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 204.28/204.29 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__conv__Nil,axiom,
% 204.28/204.29 ! [V_i,V_j] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 204.28/204.29 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__0,axiom,
% 204.28/204.29 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_take__upt,axiom,
% 204.28/204.29 ! [V_n,V_m,V_i] :
% 204.28/204.29 ( 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))
% 204.28/204.29 => 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)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__list__of__set__range,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_hd__upt,axiom,
% 204.28/204.29 ! [V_j,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_drop__upt,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_distinct__upt,axiom,
% 204.28/204.29 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__upt,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__rec__number__of,axiom,
% 204.28/204.29 ! [V_n,V_m] :
% 204.28/204.29 ( ( 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)))
% 204.28/204.29 => 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))) )
% 204.28/204.29 & ( ~ 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)))
% 204.28/204.29 => 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) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_upt__eq__Cons__conv,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 204.28/204.29 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 204.28/204.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 204.28/204.29 & V_i_2 = V_x_2
% 204.28/204.29 & 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 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_last__upt,axiom,
% 204.28/204.29 ! [V_j,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => 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)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_map__Suc__upt,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_atLeastAtMost__upt,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_atLeast__upt,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nth__upt,axiom,
% 204.28/204.29 ! [V_j,V_k,V_i] :
% 204.28/204.29 ( 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))
% 204.28/204.29 => 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) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_greaterThanAtMost__upt,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_greaterThanLessThan__upt,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_atMost__upto,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_map__nth,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) = V_xs_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 204.28/204.29 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 204.28/204.29 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.29 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 204.28/204.29 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 204.28/204.29 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nth__map__upt,axiom,
% 204.28/204.29 ! [V_f_2,T_a,V_m_2,V_n_2,V_i_2] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__rectangle,axiom,
% 204.28/204.29 ! [V_n_2,T_a,V_xs_2] :
% 204.28/204.29 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 204.28/204.29 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 204.28/204.29 => ( ! [B_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),B_i)) = V_n_2 )
% 204.28/204.29 => c_List_Otranspose(T_a,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_a)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat),c_List_Onth(T_a)),hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_insort__key__remove1,axiom,
% 204.28/204.29 ! [V_f_2,V_xs_2,V_a_2,T_a,T_b] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_b)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 204.28/204.29 => ( hAPP(c_List_Ohd(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 204.28/204.29 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted_ONil,axiom,
% 204.28/204.29 ! [T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__single,axiom,
% 204.28/204.29 ! [V_x,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__upt,axiom,
% 204.28/204.29 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__sort,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__insort__insert,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__drop,axiom,
% 204.28/204.29 ! [V_n,V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__upto,axiom,
% 204.28/204.29 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__take,axiom,
% 204.28/204.29 ! [V_n,V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__remove1,axiom,
% 204.28/204.29 ! [V_a,V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__tl,axiom,
% 204.28/204.29 ! [V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__insort,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2))
% 204.28/204.29 <=> c_List_Olinorder__class_Osorted(T_a,V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__butlast,axiom,
% 204.28/204.29 ! [V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted_Oequations_I1_J,axiom,
% 204.28/204.29 ! [T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__many__eq,axiom,
% 204.28/204.29 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)))
% 204.28/204.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__many,axiom,
% 204.28/204.29 ! [V_zs,V_y,V_x,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 204.28/204.29 => 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))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__remdups,axiom,
% 204.28/204.29 ! [V_l,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__distinct__set__unique,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 204.28/204.29 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 204.28/204.29 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 204.28/204.29 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__sort__key,axiom,
% 204.28/204.29 ! [V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Osort__key(T_b,T_a,V_f_2,V_xs_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__insort__insert__key,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__map__remove1,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__insort__key,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)))
% 204.28/204.29 <=> c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__map__same,axiom,
% 204.28/204.29 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__filter,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__same,axiom,
% 204.28/204.29 ! [V_xs_2,V_g_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__Cons,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 204.28/204.29 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 & ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__append,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 204.28/204.29 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 204.28/204.29 & ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => ! [B_xa] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),V_ys_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_filter__insort,axiom,
% 204.28/204.29 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 204.28/204.29 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted_Oequations_I2_J,axiom,
% 204.28/204.29 ! [V_a1_2,V_a2_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a1_2))
% 204.28/204.29 <=> ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_a1_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a2_2),B_x)) )
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,V_a1_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__list__of__set,axiom,
% 204.28/204.29 ! [V_A_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 => ( hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) = V_A_2
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))
% 204.28/204.29 & hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_insort__remove1,axiom,
% 204.28/204.29 ! [V_xs_2,V_a_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__equals__nth__mono,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 <=> ! [B_j] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => ! [B_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j))) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__nth__mono,axiom,
% 204.28/204.29 ! [V_j,V_i,V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => ( 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)))
% 204.28/204.29 => 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))) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_map__sorted__distinct__set__unique,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_b)
% 204.28/204.29 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 204.28/204.29 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)))
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2))
% 204.28/204.29 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)))
% 204.28/204.29 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 204.28/204.29 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__column,axiom,
% 204.28/204.29 ! [V_i_2,V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nth__nth__transpose__sorted,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2))))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2))))
% 204.28/204.29 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inj__on__rev,axiom,
% 204.28/204.29 ! [V_A_2,T_a] : c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orev(T_a),V_A_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_distinct__rev,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orev(T_a),V_xs_2)))
% 204.28/204.29 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev_Osimps_I1_J,axiom,
% 204.28/204.29 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Nil__is__rev__conv,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),V_xs_2)
% 204.28/204.29 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__is__Nil__conv,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( hAPP(c_List_Orev(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.29 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__singleton__conv,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.29 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))
% 204.28/204.29 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_singleton__rev__conv,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(c_List_Orev(T_a),V_xs_2)
% 204.28/204.29 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__append,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__concat,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Orev(T_a)),hAPP(c_List_Orev(tc_List_Olist(T_a)),V_xs_2))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__map,axiom,
% 204.28/204.29 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__filter,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_Pa_2),hAPP(c_List_Orev(T_a),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_zip__rev,axiom,
% 204.28/204.29 ! [V_ys,T_b,V_xs,T_a] :
% 204.28/204.29 ( 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)
% 204.28/204.29 => 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)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__rev,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all2__rev1,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.29 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(c_List_Orev(T_a),V_xs_2),V_ys_2)
% 204.28/204.29 <=> c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_b),V_ys_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all2__rev,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] :
% 204.28/204.29 ( c_List_Olist__all2(T_a,T_b,V_Pa_2,hAPP(c_List_Orev(T_a),V_xs_2),hAPP(c_List_Orev(T_b),V_ys_2))
% 204.28/204.29 <=> c_List_Olist__all2(T_a,T_b,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__is__rev__conv,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.29 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Orev(T_a),V_ys_2)
% 204.28/204.29 <=> V_xs_2 = V_ys_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__swap,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,T_a] :
% 204.28/204.29 ( hAPP(c_List_Orev(T_a),V_xs_2) = V_ys_2
% 204.28/204.29 <=> V_xs_2 = hAPP(c_List_Orev(T_a),V_ys_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__rev__ident,axiom,
% 204.28/204.29 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 204.28/204.29
% 204.28/204.29 fof(fact_listsum__rev,axiom,
% 204.28/204.29 ! [V_xs,T_a] :
% 204.28/204.29 ( class_Groups_Ocomm__monoid__add(T_a)
% 204.28/204.29 => 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) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__rev,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr__foldl,axiom,
% 204.28/204.29 ! [V_a_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),V_f_2),V_a_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldl__foldr,axiom,
% 204.28/204.29 ! [V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2),V_a_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev_Osimps_I2_J,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__eq__Cons__iff,axiom,
% 204.28/204.29 ! [V_ys_2,V_y_2,V_xs_2,T_a] :
% 204.28/204.29 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 204.28/204.29 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_last__rev,axiom,
% 204.28/204.29 ! [T_a,V_xs] :
% 204.28/204.29 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.29 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_hd__rev,axiom,
% 204.28/204.29 ! [T_a,V_xs] :
% 204.28/204.29 ( V_xs != c_List_Olist_ONil(T_a)
% 204.28/204.29 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__transpose,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__foldl__cons,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)),V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__take,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__drop,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rotate__rev,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__nth,axiom,
% 204.28/204.29 ! [V_xs,T_a,V_n] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => 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))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__update,axiom,
% 204.28/204.29 ! [V_y,V_xs,T_a,V_k] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => 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) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__rev__nth__mono,axiom,
% 204.28/204.29 ! [V_j,V_i,V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 204.28/204.29 => ( 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)))
% 204.28/204.29 => 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))) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldr__max__sorted,axiom,
% 204.28/204.29 ! [V_y_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs_2))
% 204.28/204.29 => ( ( V_xs_2 = c_List_Olist_ONil(T_a)
% 204.28/204.29 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = V_y_2 )
% 204.28/204.29 & ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.29 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__transpose__sorted,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 204.28/204.29 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 204.28/204.29 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_a))
% 204.28/204.29 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__column__length,axiom,
% 204.28/204.29 ! [V_i_2,V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpose__transpose,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 204.28/204.29 => c_List_Otranspose(T_a,c_List_Otranspose(T_a,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a))),V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 204.28/204.29 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__takeWhile,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__takeWhile__le,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__eq__all__conv,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2) = V_xs_2
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__takeWhileD,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_zip__takeWhile__snd,axiom,
% 204.28/204.29 ! [V_ys_2,V_Pa_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_a,T_b),V_Pa_2),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_zip__takeWhile__fst,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,V_Pa_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,tc_prod(T_a,T_b),V_Pa_2),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__map,axiom,
% 204.28/204.29 ! [V_xs_2,V_f_2,T_b,V_Pa_2,T_a] : c_List_OtakeWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OtakeWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_Pa_2),V_f_2),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__tail,axiom,
% 204.28/204.29 ! [V_l_2,V_xs_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.29 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2))) = c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 204.28/204.29 ! [V_xs_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.29 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] : c_List_OtakeWhile(T_a,V_Pa_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__eq__take,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] : c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))),V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_distinct__takeWhile,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_return__list__def,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__append1,axiom,
% 204.28/204.29 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nth__length__takeWhile,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__nth,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a,V_j_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))))
% 204.28/204.29 => hAPP(hAPP(c_List_Onth(T_a),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__not__last,axiom,
% 204.28/204.29 ! [T_a,V_xs_2] :
% 204.28/204.29 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),c_List_Olast(T_a,V_xs_2))),V_xs_2) = c_List_Obutlast(T_a,V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 204.28/204.29 ! [V_t_2,V_xs_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 204.28/204.29 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 204.28/204.29 ! [V_l] :
% 204.28/204.29 ( c_List_Onat__list(V_l)
% 204.28/204.29 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_embed__list__def,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__neq__rev,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Otl(T_a),c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__neq__rev,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Orev(T_a),c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__dropWhile__id,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__dropWhile,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,c_List_OdropWhile(T_a,V_Pa_2,V_xs_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__dropWhile__le,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_OdropWhile(T_a,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_a)
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 204.28/204.29 ! [V_xs_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.29 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OdropWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_OdropWhile(T_a,V_Pa_2,V_xs_2) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OdropWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] : c_List_OdropWhile(T_a,V_Pa_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_distinct__dropWhile,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 204.28/204.29 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_hd__dropWhile,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_OdropWhile(T_a,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_a)
% 204.28/204.29 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_a),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2)))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__map,axiom,
% 204.28/204.29 ! [V_xs_2,V_f_2,T_b,V_Pa_2,T_a] : c_List_OdropWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OdropWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_Pa_2),V_f_2),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__append1,axiom,
% 204.28/204.29 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_OdropWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 204.28/204.29 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_OdropWhile(T_a,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 204.28/204.29 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))
% 204.28/204.29 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__eq__drop,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] : c_List_OdropWhile(T_a,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2))),V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__nth,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a,V_j_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2))))
% 204.28/204.29 => hAPP(hAPP(c_List_Onth(T_a),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_listsum__map__filter,axiom,
% 204.28/204.29 ! [V_f_2,V_Pa_2,V_xs_2,T_a,T_b] :
% 204.28/204.29 ( class_Groups_Omonoid__add(T_b)
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 204.28/204.29 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) )
% 204.28/204.29 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted__nth__monoI,axiom,
% 204.28/204.29 ! [V_xs,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( ! [B_i,B_j] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 204.28/204.29 => ( 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)))
% 204.28/204.29 => 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))) ) )
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__eq__filter,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_OdropWhile(T_a,V_Pa_2,V_xs_2))))
% 204.28/204.29 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a,V_n_2] :
% 204.28/204.29 ( ! [B_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) )
% 204.28/204.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) )
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__takeWhile__less__P__nth,axiom,
% 204.28/204.29 ! [V_xs_2,T_a,V_Pa_2,V_j_2] :
% 204.28/204.29 ( ! [B_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_Pa_2,V_xs_2)))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted_Osimps,axiom,
% 204.28/204.29 ! [V_a_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_a_2)
% 204.28/204.29 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 204.28/204.29 | ? [B_xs,B_x] :
% 204.28/204.29 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 204.28/204.29 & ! [B_xa] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),B_xs)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) )
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,B_xs) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_List_Oinsert__def,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 )
% 204.28/204.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_not__in__set__insert,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_insert__remdups,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_distinct__insert,axiom,
% 204.28/204.29 ! [V_x,V_xs,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 204.28/204.29 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__set__insert,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_List_Oset__insert,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oinsert(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_insert__Nil,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_concat__map__maps,axiom,
% 204.28/204.29 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) = c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_maps__def,axiom,
% 204.28/204.29 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_maps__simps_I2_J,axiom,
% 204.28/204.29 ! [V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_maps__simps_I1_J,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_b,T_a,V_f_2,V_xs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_distinct__concat,axiom,
% 204.28/204.29 ! [V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),V_xs_2))
% 204.28/204.29 => ( ! [B_ys] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(c_List_Odistinct(T_a),B_ys)) )
% 204.28/204.29 => ( ! [B_ys] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => ! [B_zs] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => ( B_ys != B_zs
% 204.28/204.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),B_ys)),hAPP(c_List_Oset(T_a),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 204.28/204.29 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oconcat(T_a,V_xs_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measures__lesseq,axiom,
% 204.28/204.29 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_wf__measures,axiom,
% 204.28/204.29 ! [V_fs_2,T_a] : c_Wellfounded_Owf(T_a,c_List_Omeasures(T_a,V_fs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__measures_I1_J,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_Nat_Onat))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measures__def,axiom,
% 204.28/204.29 ! [V_fs_2,T_a] : c_List_Omeasures(T_a,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_a),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_a),c_List_Omap(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_a,tc_Nat_Onat),T_a,tc_Nat_Onat),c_COMBI(tc_fun(T_a,tc_Nat_Onat))))),V_fs_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__measures_I2_J,axiom,
% 204.28/204.29 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 204.28/204.29 <=> ( 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)))
% 204.28/204.29 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 204.28/204.29 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measures__less,axiom,
% 204.28/204.29 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_foldl__apply,axiom,
% 204.28/204.29 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_b,T_c,V_xs_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hAPP(c_Fun_Ocomp(T_c,T_c,T_b,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_h_2),hAPP(V_g_2,B_x)) )
% 204.28/204.29 => hAPP(c_List_Ofoldl(T_c,T_a,hAPP(c_COMBC(T_a,T_c,T_c),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_g_2),V_s_2),V_xs_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_order__fun_I2_J,axiom,
% 204.28/204.29 ! [V_g_2,V_f_2,T_a,T_b] :
% 204.28/204.29 ( ( class_Orderings_Oorder(T_b)
% 204.28/204.29 & class_Enum_Oenum(T_a) )
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 204.28/204.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 204.28/204.29 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_enum__ex__prod__def,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a,T_b] :
% 204.28/204.29 ( ( class_Enum_Oenum(T_b)
% 204.28/204.29 & class_Enum_Oenum(T_a) )
% 204.28/204.29 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_a,T_b)),V_Pa_2))
% 204.28/204.29 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__ex(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_Pa_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_exists__code,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] :
% 204.28/204.29 ( class_Enum_Oenum(T_a)
% 204.28/204.29 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 204.28/204.29 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_Pa_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_enum__ex,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] :
% 204.28/204.29 ( class_Enum_Oenum(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_Pa_2))
% 204.28/204.29 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_zip__obtain__same__length,axiom,
% 204.28/204.29 ! [V_Pa_2,V_ys_2,T_b,V_xs_2,T_a] :
% 204.28/204.29 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)))) )
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pos__not__random__dseq__def,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dropWhile__append2,axiom,
% 204.28/204.29 ! [V_ys_2,V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 => c_List_OdropWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_a,V_Pa_2,V_ys_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all2__all__nthI,axiom,
% 204.28/204.29 ! [V_Pa_2,V_b_2,T_b,V_a_2,T_a] :
% 204.28/204.29 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 204.28/204.29 => ( ! [B_n] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_b_2),B_n))) )
% 204.28/204.29 => c_List_Olist__all2(T_a,T_b,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_finite__sorted__distinct__unique,axiom,
% 204.28/204.29 ! [V_A_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 => ? [B_x] :
% 204.28/204.29 ( hAPP(c_List_Oset(T_a),B_x) = V_A_2
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,B_x)
% 204.28/204.29 & hBOOL(hAPP(c_List_Odistinct(T_a),B_x))
% 204.28/204.29 & ! [B_y] :
% 204.28/204.29 ( ( hAPP(c_List_Oset(T_a),B_y) = V_A_2
% 204.28/204.29 & c_List_Olinorder__class_Osorted(T_a,B_y)
% 204.28/204.29 & hBOOL(hAPP(c_List_Odistinct(T_a),B_y)) )
% 204.28/204.29 => B_y = B_x ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_takeWhile__append2,axiom,
% 204.28/204.29 ! [V_ys_2,V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 => c_List_OtakeWhile(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_OtakeWhile(T_a,V_Pa_2,V_ys_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_insort__is__Cons,axiom,
% 204.28/204.29 ! [V_a_2,V_f_2,V_xs_2,T_a,T_b] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_b)
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 204.28/204.29 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_filter__eq__Cons__iff,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_a] :
% 204.28/204.29 ( hAPP(c_List_Ofilter(T_a,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 204.28/204.29 <=> ? [B_us,B_vs] :
% 204.28/204.29 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 204.28/204.29 & ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 204.28/204.29 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_Pa_2),B_vs) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Cons__eq__filter__iff,axiom,
% 204.28/204.29 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_a,V_Pa_2),V_ys_2)
% 204.28/204.29 <=> ? [B_us,B_vs] :
% 204.28/204.29 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 204.28/204.29 & ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 204.28/204.29 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_Pa_2),B_vs) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_order__fun_I1_J,axiom,
% 204.28/204.29 ! [V_g_2,V_f_2,T_a,T_b] :
% 204.28/204.29 ( ( class_Orderings_Oorder(T_b)
% 204.28/204.29 & class_Enum_Oenum(T_a) )
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 204.28/204.29 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_f_2)),V_g_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_enum__all,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] :
% 204.28/204.29 ( class_Enum_Oenum(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_Pa_2))
% 204.28/204.29 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_all__code,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] :
% 204.28/204.29 ( class_Enum_Oenum(T_a)
% 204.28/204.29 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 204.28/204.29 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_Pa_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_enum__all__prod__def,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a,T_b] :
% 204.28/204.29 ( ( class_Enum_Oenum(T_b)
% 204.28/204.29 & class_Enum_Oenum(T_a) )
% 204.28/204.29 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_a,T_b)),V_Pa_2))
% 204.28/204.29 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__all(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_Pa_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ball__nth,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a,V_n_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sorted_OCons,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.29 ( class_Orderings_Olinorder(T_a)
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) )
% 204.28/204.29 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 204.28/204.29 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__length,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ? [B_n] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__set__conv__decomp,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__simps_I2_J,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] : ~ c_List_Olist__ex(T_a,V_Pa_2,c_List_Olist_ONil(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__append,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 204.28/204.29 <=> ( c_List_Olist__ex(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 | c_List_Olist__ex(T_a,V_Pa_2,V_ys_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__iff,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__rev,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex(T_a,V_Pa_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 204.28/204.29 <=> c_List_Olist__ex(T_a,V_Pa_2,V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__simps_I1_J,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 204.28/204.29 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 | c_List_Olist__ex(T_a,V_Pa_2,V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__set__conv__decomp__first,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 <=> ? [B_ys] :
% 204.28/204.29 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 204.28/204.29 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_ys))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__set__conv__decomp__last,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 <=> ? [B_ys,B_zs] :
% 204.28/204.29 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 204.28/204.29 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_zs))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__length,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__all(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ! [B_n] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measure__function__int,axiom,
% 204.28/204.29 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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__simps_I2_J,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] : c_List_Olist__all(T_a,V_Pa_2,c_List_Olist_ONil(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__append,axiom,
% 204.28/204.29 ! [V_ys_2,V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__all(T_a,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 204.28/204.29 <=> ( c_List_Olist__all(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 & c_List_Olist__all(T_a,V_Pa_2,V_ys_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measure__size,axiom,
% 204.28/204.29 ! [T_a] :
% 204.28/204.29 ( class_Nat_Osize(T_a)
% 204.28/204.29 => c_FunDef_Ois__measure(T_a,c_Nat_Osize__class_Osize(T_a)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_is__measure_Ointros,axiom,
% 204.28/204.29 ! [V_f_2,T_a] : c_FunDef_Ois__measure(T_a,V_f_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_is__measure_Oequations,axiom,
% 204.28/204.29 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_is__measure_Osimps,axiom,
% 204.28/204.29 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__iff,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__all(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measure__fst,axiom,
% 204.28/204.29 ! [T_b,V_f_2,T_a] :
% 204.28/204.29 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 204.28/204.29 => c_FunDef_Ois__measure(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_a,T_b)),V_f_2),c_Product__Type_Ofst(T_a,T_b))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_measure__snd,axiom,
% 204.28/204.29 ! [T_b,V_f_2,T_a] :
% 204.28/204.29 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 204.28/204.29 => c_FunDef_Ois__measure(tc_prod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_b,T_a)),V_f_2),c_Product__Type_Osnd(T_b,T_a))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__rev,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__all(T_a,V_Pa_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 204.28/204.29 <=> c_List_Olist__all(T_a,V_Pa_2,V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__simps_I1_J,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__all(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 204.28/204.29 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 & c_List_Olist__all(T_a,V_Pa_2,V_xs_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Ball__set__list__all,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> c_List_Olist__all(T_a,V_Pa_2,V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__iff__raw,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__all(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex1__simps_I2_J,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex1(T_a,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 204.28/204.29 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_Olist__all(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => c_List_Olist__ex1(T_a,V_Pa_2,V_xs_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transfer__morphism__int__nat,axiom,
% 204.28/204.29 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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex1__simps_I1_J,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] : ~ c_List_Olist__ex1(T_a,V_Pa_2,c_List_Olist_ONil(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bool_Osize_I3_J,axiom,
% 204.28/204.29 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bool_Osize_I4_J,axiom,
% 204.28/204.29 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex1__iff,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex1(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x))
% 204.28/204.29 & ! [B_y] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 204.28/204.29 => B_y = B_x ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 204.28/204.29 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 204.28/204.29 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 204.28/204.29 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_a) )
% 204.28/204.29 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 204.28/204.29 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 204.28/204.29 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 204.28/204.29 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 204.28/204.29 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_a) )
% 204.28/204.29 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 204.28/204.29 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Oneg__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Opos__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 204.28/204.29 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Oneg__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 204.28/204.29 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pos__empty__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,T_a] : c_New__Random__Sequence_Opos__empty(T_a,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_neg__bind__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 204.28/204.29 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Opos__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_neg__map__def,axiom,
% 204.28/204.29 ! [V_Pa_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Oneg__map(T_b,T_a,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_Pa_2,hAPP(c_Fun_Ocomp(T_a,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))))),T_b,c_New__Random__Sequence_Oneg__single(T_a)),V_f_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_neg__single__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_a,V_x_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pos__bind__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pos__map__def,axiom,
% 204.28/204.29 ! [V_Pa_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Opos__map(T_b,T_a,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_b,T_a,V_Pa_2,hAPP(c_Fun_Ocomp(T_a,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))))),T_b,c_New__Random__Sequence_Opos__single(T_a)),V_f_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pos__single__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_a,V_x_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__splice,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_splice_Osimps_I3_J,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_splice__Nil2,axiom,
% 204.28/204.29 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 204.28/204.29
% 204.28/204.29 fof(fact_splice_Osimps_I1_J,axiom,
% 204.28/204.29 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 204.28/204.29
% 204.28/204.29 fof(fact_splice_Osimps_I2_J,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Opos__single__def,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_acyclicP__converse,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Predicate_Oconversep(T_a,T_a,V_r_2))))
% 204.28/204.29 <=> c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_converse__join,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep__eq,axiom,
% 204.28/204.29 ! [T_a] : c_Predicate_Oconversep(T_a,T_a,c_fequal) = c_fequal ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep__conversep,axiom,
% 204.28/204.29 ! [V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Oconversep(T_a,T_b,V_r_2)) = V_r_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep__iff,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep_Oequations,axiom,
% 204.28/204.29 ! [V_a1_2,V_a2_2,V_r_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a2_2),V_a1_2))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep_Ointros,axiom,
% 204.28/204.29 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_b_2),V_a_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversepD,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep__noteq,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 204.28/204.29 <=> V_x_2 != V_y_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_converse__pred__comp,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_c,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Opred__comp(T_b,T_c,T_a,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_a,T_c,T_b,c_Predicate_Oconversep(T_c,T_a,V_s_2),c_Predicate_Oconversep(T_b,T_c,V_r_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_converse__meet,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_conversep__converse__eq,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2),V_y_2))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_,axiom,
% 204.28/204.29 ! [V_s2_2,V_s1_2,T_b,T_a] : c_Lazy__Sequence_Oproduct(T_a,T_b,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_a,tc_prod(T_a,T_b),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_a),c_Lazy__Sequence_Obind(T_b,tc_prod(T_a,T_b),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_b),c_Lazy__Sequence_Osingle(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_tl__replicate,axiom,
% 204.28/204.29 ! [V_x,T_a,V_n] :
% 204.28/204.29 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => 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) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__length__filter,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_a,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_length__replicate,axiom,
% 204.28/204.29 ! [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 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_map__replicate__const,axiom,
% 204.28/204.29 ! [V_lst_2,V_k_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_k_2)),V_lst_2) = c_List_Oreplicate(T_a,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_lst_2),V_k_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__app__Cons__same,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__Suc,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rev__replicate,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_take__replicate,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_drop__replicate,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_hd__replicate,axiom,
% 204.28/204.29 ! [V_x,T_a,V_n] :
% 204.28/204.29 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_last__replicate,axiom,
% 204.28/204.29 ! [V_x,T_a,V_n] :
% 204.28/204.29 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_zip__replicate,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Ball__set__replicate,axiom,
% 204.28/204.29 ! [V_Pa_2,V_a_2,V_n_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_a_2))))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 204.28/204.29 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Bex__set__replicate,axiom,
% 204.28/204.29 ! [V_Pa_2,V_a_2,V_n_2,T_a] :
% 204.28/204.29 ( ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_a_2))))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 204.28/204.29 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__eq__replicate,axiom,
% 204.28/204.29 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_a] :
% 204.28/204.29 ( c_List_Oreplicate(T_a,V_m_2,V_x_2) = c_List_Oreplicate(T_a,V_n_2,V_y_2)
% 204.28/204.29 <=> ( V_m_2 = V_n_2
% 204.28/204.29 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => V_x_2 = V_y_2 ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nth__replicate,axiom,
% 204.28/204.29 ! [V_x,T_a,V_n,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 204.28/204.29 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_append__replicate__commute,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__add,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_filter__replicate,axiom,
% 204.28/204.29 ! [V_n_2,T_a,V_x_2,V_Pa_2] :
% 204.28/204.29 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => hAPP(c_List_Ofilter(T_a,V_Pa_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,V_x_2) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 204.28/204.29 => hAPP(c_List_Ofilter(T_a,V_Pa_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Olist_ONil(T_a) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_concat__replicate__trivial,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__empty,axiom,
% 204.28/204.29 ! [V_x_2,V_n_2,T_a] :
% 204.28/204.29 ( c_List_Oreplicate(T_a,V_n_2,V_x_2) = c_List_Olist_ONil(T_a)
% 204.28/204.29 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_empty__replicate,axiom,
% 204.28/204.29 ! [V_x_2,V_n_2,T_a] :
% 204.28/204.29 ( c_List_Olist_ONil(T_a) = c_List_Oreplicate(T_a,V_n_2,V_x_2)
% 204.28/204.29 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__0,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_map__replicate,axiom,
% 204.28/204.29 ! [V_x_2,V_n_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__set__replicate,axiom,
% 204.28/204.29 ! [V_y_2,V_n_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_y_2))))
% 204.28/204.29 <=> ( V_x_2 = V_y_2
% 204.28/204.29 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_replicate__append__same,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_map__replicate__trivial,axiom,
% 204.28/204.29 ! [V_i_2,V_x_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_COMBK(T_a,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_a,V_i_2,V_x_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__replicate__conv__if,axiom,
% 204.28/204.29 ! [V_x_2,T_a,V_n_2] :
% 204.28/204.29 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )
% 204.28/204.29 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__replicate,axiom,
% 204.28/204.29 ! [V_x_2,T_a,V_n_2] :
% 204.28/204.29 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 204.28/204.29 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_set__replicate__Suc,axiom,
% 204.28/204.29 ! [V_x_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_small__lazy__list_Osimps,axiom,
% 204.28/204.29 ! [V_d_2,T_a] :
% 204.28/204.29 ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 204.28/204.29 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_a),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),c_Lazy__Sequence_Oproduct(T_a,tc_List_Olist(T_a),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)))),c_List_Olist_OCons(T_a))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_a)))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_eq__comp__r,axiom,
% 204.28/204.29 ! [V_R_2,T_a] : c_Predicate_Opred__comp(T_a,T_a,T_a,c_fequal,c_Predicate_Opred__comp(T_a,T_a,T_a,V_R_2,c_fequal)) = V_R_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_small__lazy__prod__def,axiom,
% 204.28/204.29 ! [V_d,T_b,T_a] :
% 204.28/204.29 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 204.28/204.29 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 204.28/204.29 => 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)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Opos__union__def,axiom,
% 204.28/204.29 ! [V_i_2,V_yq_2,V_xq_2,T_a] : hAPP(c_New__DSequence_Opos__union(T_a,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_a,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_field__le__epsilon,axiom,
% 204.28/204.29 ! [V_y,V_x,T_a] :
% 204.28/204.29 ( class_Fields_Olinordered__field(T_a)
% 204.28/204.29 => ( ! [B_e] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 204.28/204.29 => 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))) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pos__union__def,axiom,
% 204.28/204.29 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_a] : c_New__Random__Sequence_Opos__union(T_a,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_a,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_small__lazy_H_Osimps,axiom,
% 204.28/204.29 ! [V_i,V_d] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 204.28/204.29 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 204.28/204.29 => 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)))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_small__lazy__int__def,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_small__lazy_H_Opsimps,axiom,
% 204.28/204.29 ! [V_i_2,V_d_2] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 204.28/204.29 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 204.28/204.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 204.28/204.29 => 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)))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 204.28/204.29 ! [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))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__01,axiom,
% 204.28/204.29 ! [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)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Oinject,axiom,
% 204.28/204.29 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_a] :
% 204.28/204.29 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H_2,V_lazy__sequence_H_2)
% 204.28/204.29 <=> ( V_a_2 = V_a_H_2
% 204.28/204.29 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 204.28/204.29 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_small__lazy_H_Opinduct,axiom,
% 204.28/204.29 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => ( ! [B_d,B_i] :
% 204.28/204.29 ( 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)))
% 204.28/204.29 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 204.28/204.29 => 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)))) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_size__code,axiom,
% 204.28/204.29 ! [V_xq_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),T_a),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence__size__code,axiom,
% 204.28/204.29 ! [V_xq_2,V_s_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_a,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_a),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_seq__case,axiom,
% 204.28/204.29 ! [V_xq_2,V_g_2,V_f_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_a,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),T_a),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_yieldn__def,axiom,
% 204.28/204.29 ! [T_a] : c_Lazy__Sequence_Oyieldn(T_a) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_a),T_a,c_Lazy__Sequence_Oyield(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 204.28/204.29 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_refl__on__INTER,axiom,
% 204.28/204.29 ! [V_r_2,V_A_2,T_b,V_S_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 204.28/204.29 => c_Relation_Orefl__on(T_b,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 204.28/204.29 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__set__member,axiom,
% 204.28/204.29 ! [V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_a),V_xs_2),V_x_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_member__rec_I1_J,axiom,
% 204.28/204.29 ! [V_y_2,V_xs_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_List_Omember(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_y_2))
% 204.28/204.29 <=> ( V_x_2 = V_y_2
% 204.28/204.29 | hBOOL(hAPP(hAPP(c_List_Omember(T_a),V_xs_2),V_y_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_member__set,axiom,
% 204.28/204.29 ! [T_a] : c_List_Omember(T_a) = c_List_Oset(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_member__rec_I2_J,axiom,
% 204.28/204.29 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_List_Omember__def,axiom,
% 204.28/204.29 ! [V_x_2,V_xs_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_List_Omember(T_a),V_xs_2),V_x_2))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pair__box_Osize_I1_J,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_b,T_a] : c_Nitpick_Opair__box_Opair__box__size(T_a,T_b,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex1__iff__raw,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex1(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x))
% 204.28/204.29 & ! [B_y] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 204.28/204.29 => B_y = B_x ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pair__box_Osize_I2_J,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pair__box_Oinject,axiom,
% 204.28/204.29 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 204.28/204.29 ( c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_H_2,V_b_H_2)
% 204.28/204.29 <=> ( V_a_2 = V_a_H_2
% 204.28/204.29 & V_b_2 = V_b_H_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pair__box_Orecs,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__rec(T_b,T_c,T_a,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_pair__box_Osimps_I2_J,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__case(T_b,T_c,T_a,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_THE__default__def,axiom,
% 204.28/204.29 ! [V_d_2,T_a,V_Pa_2] :
% 204.28/204.29 ( ( ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(V_Pa_2,B_x))
% 204.28/204.29 & ! [B_y] :
% 204.28/204.29 ( hBOOL(hAPP(V_Pa_2,B_y))
% 204.28/204.29 => B_y = B_x ) )
% 204.28/204.29 => c_FunDef_OTHE__default(T_a,V_d_2,V_Pa_2) = c_HOL_OThe(T_a,V_Pa_2) )
% 204.28/204.29 & ( ~ ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(V_Pa_2,B_x))
% 204.28/204.29 & ! [B_y] :
% 204.28/204.29 ( hBOOL(hAPP(V_Pa_2,B_y))
% 204.28/204.29 => B_y = B_x ) )
% 204.28/204.29 => c_FunDef_OTHE__default(T_a,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_setsum__UNION__zero,axiom,
% 204.28/204.29 ! [V_f_2,V_S_2,T_a,T_b] :
% 204.28/204.29 ( class_Groups_Ocomm__monoid__add(T_b)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_S_2))
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_S_2))
% 204.28/204.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) )
% 204.28/204.29 => ( ! [B_T1] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_T1),V_S_2))
% 204.28/204.29 => ! [B_T2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_T2),V_S_2))
% 204.28/204.29 => ( B_T1 != B_T2
% 204.28/204.29 => ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_T1))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_T2))
% 204.28/204.29 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) )
% 204.28/204.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2)),V_S_2) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_SUP2__E,axiom,
% 204.28/204.29 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 204.28/204.29 => ~ ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 204.28/204.29 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_INF2__I,axiom,
% 204.28/204.29 ! [T_c,T_b,V_ca_2,V_b_2,V_B_2,V_A_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_finite__maxlen,axiom,
% 204.28/204.29 ! [V_M_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),V_M_2))
% 204.28/204.29 => ? [B_n] :
% 204.28/204.29 ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),V_M_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),B_x)),B_n)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__02,axiom,
% 204.28/204.29 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 204.28/204.29 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = V_f1_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 204.28/204.29 ! [V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__iff__all__interval__int,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_Pa_2] :
% 204.28/204.29 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 204.28/204.29 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_Pa_2] :
% 204.28/204.29 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 204.28/204.29 <=> ~ 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) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_all__interval__int__def,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_Pa_2] :
% 204.28/204.29 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 204.28/204.29 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_a,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_a,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Random_Osimps,axiom,
% 204.28/204.29 ! [V_size_2,V_g_2,T_a,V_nrandom_2] :
% 204.28/204.29 ( ( 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)))
% 204.28/204.29 => c_Random__Sequence_ORandom(T_a,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_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_a)) )
% 204.28/204.29 & ( ~ 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)))
% 204.28/204.29 => c_Random__Sequence_ORandom(T_a,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_a,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_a)))),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_a)))),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_a)))),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_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_a,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_a)))),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_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_a,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_a)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_a))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_a)))),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_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_a,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_a)))),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_a)))),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_a))))),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_a)))),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_a)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_a)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_a))))),tc_prod(T_a,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_a)))),tc_prod(T_a,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_a)),c_Product__Type_Ofst(T_a,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 204.28/204.29 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Random__Sequence_Oempty__def,axiom,
% 204.28/204.29 ! [V_size_2,V_nrandom_2,T_a] : c_Random__Sequence_Oempty(T_a,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_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Random__Sequence_Osingle__def,axiom,
% 204.28/204.29 ! [V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_a),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_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_a),V_x_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Random__Sequence_Omap__def,axiom,
% 204.28/204.29 ! [V_Pa_2,V_f_2,T_a,T_b] : c_Random__Sequence_Omap(T_b,T_a,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_b,T_a,V_Pa_2,hAPP(c_Fun_Ocomp(T_a,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_a)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_b,c_Random__Sequence_Osingle(T_a)),V_f_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_exE__realizer,axiom,
% 204.28/204.29 ! [T_c,V_f_2,V_Qa_2,V_p_2,T_a,T_b,V_Pa_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2)),hAPP(c_Product__Type_Ofst(T_b,T_a),V_p_2)))
% 204.28/204.29 => ( ! [B_x,B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 204.28/204.29 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 204.28/204.29 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_c),V_f_2),V_p_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Image__Collect__split,axiom,
% 204.28/204.29 ! [V_A_2,V_Pa_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Pa_2)))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lexord__trans,axiom,
% 204.28/204.29 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_z_2)),c_List_Olexord(T_a,V_r_2)))
% 204.28/204.29 => ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_z_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__less__than,axiom,
% 204.28/204.29 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__lex__prod,axiom,
% 204.28/204.29 ! [V_R2_2,T_b,V_R1_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_R1_2)
% 204.28/204.29 => ( c_Relation_Otrans(T_b,V_R2_2)
% 204.28/204.29 => c_Relation_Otrans(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_R1_2,V_R2_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__def,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 <=> ! [B_x,B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 204.28/204.29 => ! [B_z] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_z)),V_r_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_z)),V_r_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transD,axiom,
% 204.28/204.29 ! [V_ca_2,V_b_2,V_a_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),V_r_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__Int,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => ( c_Relation_Otrans(T_a,V_s_2)
% 204.28/204.29 => c_Relation_Otrans(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__rtrancl,axiom,
% 204.28/204.29 ! [V_r_2,T_a] : c_Relation_Otrans(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__finite__psubset,axiom,
% 204.28/204.29 ! [T_a] : c_Relation_Otrans(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__Id__on,axiom,
% 204.28/204.29 ! [V_A_2,T_a] : c_Relation_Otrans(T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__trancl,axiom,
% 204.28/204.29 ! [V_r_2,T_a] : c_Relation_Otrans(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trancl__id,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => c_Transitive__Closure_Otrancl(T_a,V_r_2) = V_r_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__Id,axiom,
% 204.28/204.29 ! [T_a] : c_Relation_Otrans(T_a,c_Relation_OId(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lexord__transI,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Otrans(tc_List_Olist(T_a),c_List_Olexord(T_a,V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__converse,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 204.28/204.29 <=> c_Relation_Otrans(T_a,V_r_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_listrel__trans,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Otrans(tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bex__empty,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] :
% 204.28/204.29 ~ ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_finite__Collect__bex,axiom,
% 204.28/204.29 ! [V_Qa_2,T_b,V_A_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),V_Qa_2)))))
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 204.28/204.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Qa_2),B_x)))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bex__UNIV,axiom,
% 204.28/204.29 ! [V_Pa_2,T_a] :
% 204.28/204.29 ( ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_SUPR__bool__eq,axiom,
% 204.28/204.29 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_HOL_Obool) = c_Set_OBex(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__O__subset,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),V_r_2)),V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__reflclI,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Otrans(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__inv__image,axiom,
% 204.28/204.29 ! [V_f_2,T_b,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Union__eq,axiom,
% 204.28/204.29 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__iff__raw,axiom,
% 204.28/204.29 ! [V_xs_2,V_Pa_2,T_a] :
% 204.28/204.29 ( c_List_Olist__ex(T_a,V_Pa_2,V_xs_2)
% 204.28/204.29 <=> ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Bex__set__list__ex,axiom,
% 204.28/204.29 ! [V_Pa_2,V_xs_2,T_a] :
% 204.28/204.29 ( ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> c_List_Olist__ex(T_a,V_Pa_2,V_xs_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_UN__eq,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,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_a,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_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_fun(T_a,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_B_2))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_INT__eq,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,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_a,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_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_fun(T_a,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_B_2))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Sup__fun__def,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,T_b,T_a] :
% 204.28/204.29 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.29 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_fun(T_b,T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_b,T_a),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,T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,T_a))),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_fun(T_b,T_a))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),T_b,T_a),c_COMBI(tc_fun(T_b,T_a))),V_x_2)))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Sup__apply,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,T_b,T_a] :
% 204.28/204.29 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.29 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_fun(T_b,T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_b,T_a),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,T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,T_a))),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_fun(T_b,T_a))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),T_b,T_a),c_COMBI(tc_fun(T_b,T_a))),V_x_2)))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Inf__apply,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,T_b,T_a] :
% 204.28/204.29 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.29 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_fun(T_b,T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_b,T_a),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,T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,T_a))),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_fun(T_b,T_a))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),T_b,T_a),c_COMBI(tc_fun(T_b,T_a))),V_x_2)))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Inf__fun__def,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,T_b,T_a] :
% 204.28/204.29 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 204.28/204.29 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_fun(T_b,T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_b,T_a),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,T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,T_a))),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,T_a),T_a),tc_fun(tc_fun(T_b,T_a),tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_fun(T_b,T_a))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),T_b,T_a),c_COMBI(tc_fun(T_b,T_a))),V_x_2)))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_max__extp_Ointros,axiom,
% 204.28/204.29 ! [V_R_2,V_Y_2,V_X_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2))
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2))
% 204.28/204.29 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2))
% 204.28/204.29 => ? [B_xa] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2))
% 204.28/204.29 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 204.28/204.29 => c_Wellfounded_Omax__extp(T_a,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transp__def,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Predicate_Otransp(T_a,V_r_2)
% 204.28/204.29 <=> c_Relation_Otrans(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_transpE,axiom,
% 204.28/204.29 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Predicate_Otransp(T_a,V_r_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equivp__reflp__symp__transp,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 <=> ( c_Predicate_Oreflp(T_a,V_R_2)
% 204.28/204.29 & c_Predicate_Osymp(T_a,V_R_2)
% 204.28/204.29 & c_Predicate_Otransp(T_a,V_R_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equivpI,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Predicate_Oreflp(T_a,V_R_2)
% 204.28/204.29 => ( c_Predicate_Osymp(T_a,V_R_2)
% 204.28/204.29 => ( c_Predicate_Otransp(T_a,V_R_2)
% 204.28/204.29 => c_Equiv__Relations_Oequivp(T_a,V_R_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sympE,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Predicate_Osymp(T_a,V_r_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equivpE,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => ~ ( c_Predicate_Oreflp(T_a,V_R_2)
% 204.28/204.29 => ( c_Predicate_Osymp(T_a,V_R_2)
% 204.28/204.29 => ~ c_Predicate_Otransp(T_a,V_R_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_max__extp_Osimps,axiom,
% 204.28/204.29 ! [V_a2_2,V_a1_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2)
% 204.28/204.29 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 204.28/204.29 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 204.28/204.29 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 & ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 204.28/204.29 => ? [B_xa] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 204.28/204.29 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_trans__diff__Id,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => ( c_Relation_Oantisym(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Otrans(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__empty,axiom,
% 204.28/204.29 ! [T_a] : c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__converse,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Oantisym(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 204.28/204.29 <=> c_Relation_Oantisym(T_a,V_r_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__Id__on,axiom,
% 204.28/204.29 ! [V_A_2,T_a] : c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__Id,axiom,
% 204.28/204.29 ! [T_a] : c_Relation_Oantisym(T_a,c_Relation_OId(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__subset,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 204.28/204.29 => ( c_Relation_Oantisym(T_a,V_s_2)
% 204.28/204.29 => c_Relation_Oantisym(T_a,V_r_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__def,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Oantisym(T_a,V_r_2)
% 204.28/204.29 <=> ! [B_x,B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 204.28/204.29 => B_x = B_y ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisymD,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Oantisym(T_a,V_r_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),V_r_2))
% 204.28/204.29 => V_a_2 = V_b_2 ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_antisym__reflcl,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Oantisym(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))
% 204.28/204.29 <=> c_Relation_Oantisym(T_a,V_r_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_fun__lub__def,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,V_L_2,T_c,T_a,T_b] : c_Partial__Function_Ofun__lub(T_b,T_a,T_c,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,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)))))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__trans__comp__subset,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__def,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 <=> ! [B_x,B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_symD,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__Int__converse,axiom,
% 204.28/204.29 ! [V_r_2,T_a] : c_Relation_Osym(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__Un__converse,axiom,
% 204.28/204.29 ! [V_r_2,T_a] : c_Relation_Osym(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__Int,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => ( c_Relation_Osym(T_a,V_s_2)
% 204.28/204.29 => c_Relation_Osym(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__rtrancl,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Osym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__Id__on,axiom,
% 204.28/204.29 ! [V_A_2,T_a] : c_Relation_Osym(T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__trancl,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Osym(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__Un,axiom,
% 204.28/204.29 ! [V_s_2,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => ( c_Relation_Osym(T_a,V_s_2)
% 204.28/204.29 => c_Relation_Osym(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__Id,axiom,
% 204.28/204.29 ! [T_a] : c_Relation_Osym(T_a,c_Relation_OId(T_a)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__converse,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 204.28/204.29 <=> c_Relation_Osym(T_a,V_r_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__conv__converse__eq,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 <=> hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2) = V_r_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_listrel__sym,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Osym(tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_sym__inv__image,axiom,
% 204.28/204.29 ! [V_f_2,T_b,V_r_2,T_a] :
% 204.28/204.29 ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => c_Relation_Osym(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equivE,axiom,
% 204.28/204.29 ! [V_r_2,V_A_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 204.28/204.29 => ~ ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 204.28/204.29 => ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => ~ c_Relation_Otrans(T_a,V_r_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equivI,axiom,
% 204.28/204.29 ! [V_r_2,V_A_2,T_a] :
% 204.28/204.29 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 204.28/204.29 => ( c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 => ( c_Relation_Otrans(T_a,V_r_2)
% 204.28/204.29 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equiv__def,axiom,
% 204.28/204.29 ! [V_r_2,V_A_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 204.28/204.29 <=> ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 204.28/204.29 & c_Relation_Osym(T_a,V_r_2)
% 204.28/204.29 & c_Relation_Otrans(T_a,V_r_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_symp__def,axiom,
% 204.28/204.29 ! [V_r_2,T_a] :
% 204.28/204.29 ( c_Predicate_Osymp(T_a,V_r_2)
% 204.28/204.29 <=> c_Relation_Osym(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivp__refl__symp__transp,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Opart__equivp(T_a,V_R_2)
% 204.28/204.29 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 204.28/204.29 & c_Predicate_Osymp(T_a,V_R_2)
% 204.28/204.29 & c_Predicate_Otransp(T_a,V_R_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivpI,axiom,
% 204.28/204.29 ! [T_a,V_R_2] :
% 204.28/204.29 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 204.28/204.29 => ( c_Predicate_Osymp(T_a,V_R_2)
% 204.28/204.29 => ( c_Predicate_Otransp(T_a,V_R_2)
% 204.28/204.29 => c_Equiv__Relations_Opart__equivp(T_a,V_R_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivp__def,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Opart__equivp(T_a,V_R_2)
% 204.28/204.29 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 204.28/204.29 & ! [B_x,B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 204.28/204.29 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 204.28/204.29 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 204.28/204.29 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivp__symp,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Opart__equivp(T_a,V_R_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivp__transp,axiom,
% 204.28/204.29 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Opart__equivp(T_a,V_R_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_equivp__implies__part__equivp,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => c_Equiv__Relations_Opart__equivp(T_a,V_R_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivpE,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Opart__equivp(T_a,V_R_2)
% 204.28/204.29 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 204.28/204.29 => ( c_Predicate_Osymp(T_a,V_R_2)
% 204.28/204.29 => ~ c_Predicate_Otransp(T_a,V_R_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_part__equivp__typedef,axiom,
% 204.28/204.29 ! [V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Opart__equivp(T_a,V_R_2)
% 204.28/204.29 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBS(T_a,T_a,tc_HOL_Obool),V_R_2),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a)),c_fequal)),V_R_2))))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inj__iff,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 <=> hAPP(c_Fun_Ocomp(T_b,T_a,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_a) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__o__cancel,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Fun_Ocomp(T_b,T_a,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_a) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__image__cancel,axiom,
% 204.28/204.29 ! [V_S_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_A_2))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inj__on__inv__into,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 204.28/204.29 => c_Fun_Oinj__on(T_a,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_2,V_f_2),V_B_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inj__imp__surj__inv,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_image__inv__f__f,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__image__comp,axiom,
% 204.28/204.29 ! [V_X_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_X_2)) = V_X_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_surj__imp__inj__inv,axiom,
% 204.28/204.29 ! [V_f_2,T_a,T_b] :
% 204.28/204.29 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 => c_Fun_Oinj__on(T_a,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__def,axiom,
% 204.28/204.29 ! [V_y_2,V_f_2,T_b,T_a] : hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_y_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__def,axiom,
% 204.28/204.29 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__id,axiom,
% 204.28/204.29 ! [T_a] : c_Hilbert__Choice_Oinv__into(T_a,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Fun_Oid(T_a)) = c_Fun_Oid(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__f__eq,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 204.28/204.29 => hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__f__f,axiom,
% 204.28/204.29 ! [V_x_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__f__f,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 204.28/204.29 => hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__f__eq,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 204.28/204.29 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 204.28/204.29 => hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_f__inv__into__f,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,V_y_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 204.28/204.29 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__into,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__injective,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_b,T_a] :
% 204.28/204.29 ( hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 204.28/204.29 => V_x_2 = V_y_2 ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_image__surj__f__inv__f,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_a,T_b] :
% 204.28/204.29 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_surj__f__inv__f,axiom,
% 204.28/204.29 ! [V_y_2,V_f_2,T_a,T_b] :
% 204.28/204.29 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_surj__iff__all,axiom,
% 204.28/204.29 ! [V_f_2,T_a,T_b] :
% 204.28/204.29 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_image__inv__into__cancel,axiom,
% 204.28/204.29 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_a,T_b] :
% 204.28/204.29 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_o__inv__o__cancel,axiom,
% 204.28/204.29 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Fun_Ocomp(T_b,T_c,T_a,hAPP(c_Fun_Ocomp(T_a,T_c,T_b,V_g_2),c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__comp,axiom,
% 204.28/204.29 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))
% 204.28/204.29 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))))
% 204.28/204.29 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Hilbert__Choice_Oinv__into(T_c,T_a,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_surj__iff,axiom,
% 204.28/204.29 ! [V_f_2,T_a,T_b] :
% 204.28/204.29 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 <=> hAPP(c_Fun_Ocomp(T_b,T_a,T_a,V_f_2),c_Hilbert__Choice_Oinv__into(T_b,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_a) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inj__transfer,axiom,
% 204.28/204.29 ! [V_x_2,V_Pa_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => ( ! [B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),B_y))) )
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_fold__image__UN__disjoint,axiom,
% 204.28/204.29 ! [V_g_2,V_A_2,T_b,V_I_2,T_a,T_c] :
% 204.28/204.29 ( class_Groups_Ocomm__monoid__mult(T_c)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_I_2))
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2))
% 204.28/204.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) )
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2))
% 204.28/204.29 => ! [B_xa] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_I_2))
% 204.28/204.29 => ( B_x != B_xa
% 204.28/204.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 204.28/204.29 => 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_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_a),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)),c_Groups_Oone__class_Oone(T_c)),V_I_2) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nat__of__cases,axiom,
% 204.28/204.29 ! [V_y_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 204.28/204.29 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nat__of__induct,axiom,
% 204.28/204.29 ! [V_Pa_2,V_y_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 204.28/204.29 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_of__nat__cases,axiom,
% 204.28/204.29 ! [V_x_2] :
% 204.28/204.29 ~ ! [B_y] :
% 204.28/204.29 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 204.28/204.29 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_of__nat__induct,axiom,
% 204.28/204.29 ! [V_x_2,V_Pa_2] :
% 204.28/204.29 ( ! [B_y] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 204.28/204.29 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = V_f1_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_beyond__def,axiom,
% 204.28/204.29 ! [V_l,V_k] :
% 204.28/204.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 204.28/204.29 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 204.28/204.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 204.28/204.29 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_beyond__zero,axiom,
% 204.28/204.29 ! [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) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 204.28/204.29 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_a,T_b,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__image__Collect__eq,axiom,
% 204.28/204.29 ! [V_Pa_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_a),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_curry__def,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,T_a,V_ca_2),V_x_2),V_y_2) = hAPP(V_ca_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_curryI,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,T_b,T_a,V_f_2] :
% 204.28/204.29 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__id,axiom,
% 204.28/204.29 ! [V_A_2,T_a] : c_Fun_Obij__betw(T_a,T_a,c_Fun_Oid(T_a),V_A_2,V_A_2) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__inv__into,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => c_Fun_Obij__betw(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__into__inv__into__eq,axiom,
% 204.28/204.29 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_A_H_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 204.28/204.29 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__imp__bij__inv,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => c_Fun_Obij__betw(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inv__inv__eq,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => c_Hilbert__Choice_Oinv__into(T_b,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_o__inv__distrib,axiom,
% 204.28/204.29 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => ( c_Fun_Obij__betw(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Hilbert__Choice_Oinv__into(T_c,T_a,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__image__INT,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__comp__iff2,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_c,V_A_H_H_2,V_A_H_2,V_f_H_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),V_A_H_2))
% 204.28/204.29 => ( c_Fun_Obij__betw(T_c,T_a,V_f_2,V_A_2,V_A_H_2)
% 204.28/204.29 <=> c_Fun_Obij__betw(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__comp__iff,axiom,
% 204.28/204.29 ! [V_A_H_H_2,V_f_H_2,T_c,V_A_H_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_A_H_2)
% 204.28/204.29 => ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 204.28/204.29 <=> c_Fun_Obij__betw(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__trans,axiom,
% 204.28/204.29 ! [V_C_2,V_g_2,T_c,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => ( c_Fun_Obij__betw(T_b,T_c,V_g_2,V_B_2,V_C_2)
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__comp,axiom,
% 204.28/204.29 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => ( c_Fun_Obij__betw(T_b,T_c,V_g_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)))
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_curry__conv,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_curryD,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 204.28/204.29 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_curryE,axiom,
% 204.28/204.29 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 204.28/204.29 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_curry__split,axiom,
% 204.28/204.29 ! [V_f_2,T_c,T_b,T_a] : c_Product__Type_Ocurry(T_a,T_b,T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)) = V_f_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_split__curry,axiom,
% 204.28/204.29 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),c_Product__Type_Ocurry(T_a,T_b,T_c,V_f_2)) = V_f_2 ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__image__Compl__eq,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__def,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 & hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bijI,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 204.28/204.29 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__subset,axiom,
% 204.28/204.29 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_A_H_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 204.28/204.29 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2) = V_B_H_2
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_b,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__imp__surj,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__is__surj,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_inj__on__imp__bij__betw,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__def,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 204.28/204.29 & hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = V_B_2 ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__imp__inj__on,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__is__inj,axiom,
% 204.28/204.29 ! [V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__the__inv__into,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => c_Fun_Obij__betw(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__same__card,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__empty1,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2)
% 204.28/204.29 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__empty2,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_BIJ,axiom,
% 204.28/204.29 ! [V_B_2,T_b,V_A_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 204.28/204.29 => ( ? [B_f] : c_Fun_Obij__betw(T_a,T_b,B_f,V_A_2,V_B_2)
% 204.28/204.29 <=> hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__finite,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__id__iff,axiom,
% 204.28/204.29 ! [V_B_2,V_A_2,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_a,c_Fun_Oid(T_a),V_A_2,V_B_2)
% 204.28/204.29 <=> V_A_2 = V_B_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__id,axiom,
% 204.28/204.29 ! [T_a] : c_Fun_Obij__betw(T_a,T_a,c_Fun_Oid(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__Disj__Un,axiom,
% 204.28/204.29 ! [V_f_2,V_B_H_2,V_A_H_2,T_b,V_B_2,V_A_2,T_a] :
% 204.28/204.29 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 204.28/204.29 => ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_A_H_2)
% 204.28/204.29 => ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_B_2,V_B_H_2)
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__betw__combine,axiom,
% 204.28/204.29 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_A_2,V_B_2)
% 204.28/204.29 => ( c_Fun_Obij__betw(T_a,T_b,V_f_2,V_C_2,V_D_2)
% 204.28/204.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 204.28/204.29 => c_Fun_Obij__betw(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_finite__vimage__iff,axiom,
% 204.28/204.29 ! [V_F_2,V_h_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_F_2)))
% 204.28/204.29 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_vimage__subset__eq,axiom,
% 204.28/204.29 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bij__vimage__eq__inv__image,axiom,
% 204.28/204.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Obij__betw(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 204.28/204.29 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 204.28/204.29 ! [V_M_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_M_2))
% 204.28/204.29 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_a,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_M_2)),V_M_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Cantor__Bernstein,axiom,
% 204.28/204.29 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 204.28/204.29 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2))
% 204.28/204.29 => ? [B_h] : c_Fun_Obij__betw(T_a,T_b,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_ex__bij__betw__nat__finite,axiom,
% 204.28/204.29 ! [V_M_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_M_2))
% 204.28/204.29 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_a,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_M_2)),V_M_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_ex__bij__betw__finite__nat,axiom,
% 204.28/204.29 ! [V_M_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_M_2))
% 204.28/204.29 => ? [B_h] : c_Fun_Obij__betw(T_a,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_M_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_refl__on__UNION,axiom,
% 204.28/204.29 ! [V_r_2,V_A_2,T_b,V_S_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 204.28/204.29 => c_Relation_Orefl__on(T_b,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 204.28/204.29 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bex__reg__eqv,axiom,
% 204.28/204.29 ! [V_Pa_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => ( ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Quotient_ORespects(T_a,V_R_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_in__respects,axiom,
% 204.28/204.29 ! [V_R_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Quotient_ORespects(T_a,V_R_2)))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Respects__def,axiom,
% 204.28/204.29 ! [V_x_2,V_R_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Quotient_ORespects(T_a,V_R_2),V_x_2))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_ball__reg__eqv,axiom,
% 204.28/204.29 ! [V_Pa_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Quotient_ORespects(T_a,V_R_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_bex__reg__right,axiom,
% 204.28/204.29 ! [V_Pa_2,V_Qa_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(V_Qa_2,B_x))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1))
% 204.28/204.29 => ? [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Quotient_ORespects(T_a,V_R_2)))
% 204.28/204.29 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_ball__reg__left,axiom,
% 204.28/204.29 ! [V_Pa_2,V_Qa_2,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(V_Qa_2,B_x))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Quotient_ORespects(T_a,V_R_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Qa_2,B_x)) )
% 204.28/204.29 => ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_babs__reg__eqv,axiom,
% 204.28/204.29 ! [V_Pa_2,T_b,V_R_2,T_a] :
% 204.28/204.29 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 204.28/204.29 => c_Quotient_OBabs(T_a,T_b,c_Quotient_ORespects(T_a,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_wf__weak__decr__stable,axiom,
% 204.28/204.29 ! [V_r_2,V_f_2,T_a] :
% 204.28/204.29 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 204.28/204.29 => ( c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))
% 204.28/204.29 => ? [B_i] :
% 204.28/204.29 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_Babs__def,axiom,
% 204.28/204.29 ! [V_m_2,T_b,V_p_2,V_x_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_p_2))
% 204.28/204.29 => hAPP(c_Quotient_OBabs(T_a,T_b,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_INT__anti__mono,axiom,
% 204.28/204.29 ! [V_g_2,V_f_2,T_b,V_A_2,V_B_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_INT__greatest,axiom,
% 204.28/204.29 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] :
% 204.28/204.29 ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_converse__rtranclE2,axiom,
% 204.28/204.29 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 204.28/204.29 => ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2)
% 204.28/204.29 => ~ ! [B_a,B_b] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),V_r_2))
% 204.28/204.29 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_converse__rtrancl__induct2,axiom,
% 204.28/204.29 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 204.28/204.29 => ( ! [B_a,B_b,B_aa,B_ba] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_rtrancl__induct2,axiom,
% 204.28/204.29 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 204.28/204.29 => ( ! [B_a,B_b] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 204.28/204.29 => ! [B_aa,B_ba] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 204.28/204.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_congruentI,axiom,
% 204.28/204.29 ! [T_b,V_f_2,V_r_2,T_a] :
% 204.28/204.29 ( ! [B_y,B_z] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_z)),V_r_2))
% 204.28/204.29 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 204.28/204.29 => c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_congruent2I_H,axiom,
% 204.28/204.29 ! [T_c,V_f_2,V_r2_2,T_b,V_r1_2,T_a] :
% 204.28/204.29 ( ! [B_y1,B_z1] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y1),B_z1)),V_r1_2))
% 204.28/204.29 => ! [B_y2,B_z2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y2),B_z2)),V_r2_2))
% 204.28/204.29 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 204.28/204.29 => c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__03,axiom,
% 204.28/204.29 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__04,axiom,
% 204.28/204.29 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__05,axiom,
% 204.28/204.29 ! [V_f_2,V_xq_2,T_a,T_b] : hAPP(c_Lazy__Sequence_Obind(T_b,T_a,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Omap(T_b,tc_Lazy__Sequence_Olazy__sequence(T_a),V_f_2,V_xq_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__all__iff__all__interval__nat,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_Pa_2] :
% 204.28/204.29 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 204.28/204.29 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__06,axiom,
% 204.28/204.29 ! [V_xq_2,V_x_2,V_f_2,T_a,T_b] : c_Lazy__Sequence_Omap(T_b,T_a,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_b,T_a,V_f_2,V_xq_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact__07,axiom,
% 204.28/204.29 ! [V_f_2,T_a,T_b] : c_Lazy__Sequence_Omap(T_b,T_a,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_all__interval__nat__def,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_Pa_2] :
% 204.28/204.29 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 204.28/204.29 <=> ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 204.28/204.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 204.28/204.29 ! [V_j_2,V_i_2,V_Pa_2] :
% 204.28/204.29 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 204.28/204.29 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_New__DSequence_Opos__map__def,axiom,
% 204.28/204.29 ! [V_i_2,V_xq_2,V_f_2,T_a,T_b] : c_New__DSequence_Opos__map(T_b,T_a,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_b,T_a,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_folding__image_Ocong,axiom,
% 204.28/204.29 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 204.28/204.29 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 204.28/204.29 => ( ! [B_x] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 204.28/204.29 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 204.28/204.29 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_power__dvd__imp__le,axiom,
% 204.28/204.29 ! [V_n,V_m,V_i] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_finite__nonempty__imp__fold1Set,axiom,
% 204.28/204.29 ! [V_f_2,V_A_2,T_a] :
% 204.28/204.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 204.28/204.29 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),B_x1)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_Oorder__refl,axiom,
% 204.28/204.29 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__0__right,axiom,
% 204.28/204.29 ! [V_a,T_a] :
% 204.28/204.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__1__left,axiom,
% 204.28/204.29 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__imp__le,axiom,
% 204.28/204.29 ! [V_n,V_k] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__mult__cancel,axiom,
% 204.28/204.29 ! [V_n,V_m,V_k] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nat__mult__dvd__cancel1,axiom,
% 204.28/204.29 ! [V_n_2,V_m_2,V_k_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_setprod__dvd__setprod__subset,axiom,
% 204.28/204.29 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 204.28/204.29 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 204.28/204.29 & class_Rings_Odvd(T_b) )
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 204.28/204.29 ! [V_y_2,V_x_2,T_a] :
% 204.28/204.29 ( ( class_Divides_Osemiring__div(T_a)
% 204.28/204.29 & class_Int_Onumber(T_a) )
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 204.28/204.29 <=> c_Divides_Odiv__class_Omod(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__setprod,axiom,
% 204.28/204.29 ! [V_f_2,V_i_2,V_A_2,T_a,T_b] :
% 204.28/204.29 ( class_Rings_Ocomm__semiring__1(T_b)
% 204.28/204.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__diffD1,axiom,
% 204.28/204.29 ! [V_n,V_m,V_k] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__diffD,axiom,
% 204.28/204.29 ! [V_n,V_m,V_k] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 204.28/204.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2,V_d_2)))
% 204.28/204.29 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 204.28/204.29 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 204.28/204.29 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_power__le__dvd,axiom,
% 204.28/204.29 ! [V_m,V_b,V_n,V_a,T_a] :
% 204.28/204.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__power__le,axiom,
% 204.28/204.29 ! [V_m,V_n,V_y,V_x,T_a] :
% 204.28/204.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_le__imp__power__dvd,axiom,
% 204.28/204.29 ! [V_a,V_n,V_m,T_a] :
% 204.28/204.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_OlessThan__iff,axiom,
% 204.28/204.29 ! [V_k_2,V_i_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 204.28/204.29 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 204.28/204.29 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_OgreaterThan__iff,axiom,
% 204.28/204.29 ! [V_k_2,V_i_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 204.28/204.29 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 204.28/204.29 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_OatLeast__iff,axiom,
% 204.28/204.29 ! [V_k_2,V_i_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_OatMost__iff,axiom,
% 204.28/204.29 ! [V_k_2,V_i_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nat__dvd__not__less,axiom,
% 204.28/204.29 ! [V_n,V_m] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 204.28/204.29 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__reduce,axiom,
% 204.28/204.29 ! [V_n_2,V_k_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)))
% 204.28/204.29 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd__add,axiom,
% 204.28/204.29 ! [V_c,V_b,V_a,T_a] :
% 204.28/204.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 204.28/204.29 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 204.28/204.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2,V_d_2)))
% 204.28/204.29 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 204.28/204.29 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 204.28/204.29 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 204.28/204.29 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 204.28/204.29 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ca_2)) )
% 204.28/204.29 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 204.28/204.29 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 204.28/204.29 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_d_2)) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_div__add,axiom,
% 204.28/204.29 ! [V_y,V_x,V_z,T_a] :
% 204.28/204.29 ( class_Divides_Osemiring__div(T_a)
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 204.28/204.29 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 204.28/204.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ).
% 204.28/204.29
% 204.28/204.29 fof(fact_nat__dvd__1__iff__1,axiom,
% 204.28/204.29 ! [V_m_2] :
% 204.28/204.29 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 204.28/204.29 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 204.28/204.29
% 204.28/204.29 %----Arity declarations (221)
% 204.28/204.29 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 204.28/204.29 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Obounded__lattice(T_1)
% 204.28/204.29 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 204.28/204.29 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Obounded__lattice(T_1)
% 204.28/204.29 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Obounded__lattice(T_1)
% 204.28/204.29 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Olattice(T_1)
% 204.28/204.29 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Olattice(T_1)
% 204.28/204.29 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Odistrib__lattice(T_1)
% 204.28/204.29 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Oboolean__algebra(T_1)
% 204.28/204.29 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Orderings_Opreorder,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Orderings_Opreorder(T_1)
% 204.28/204.29 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 204.28/204.29 ! [T_1,T_2] :
% 204.28/204.29 ( ( class_Finite__Set_Ofinite(T_2)
% 204.28/204.29 & class_Finite__Set_Ofinite(T_1) )
% 204.28/204.29 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Lattices_Olattice,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Lattices_Olattice(T_1)
% 204.28/204.29 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Orderings_Oorder,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Orderings_Oorder(T_1)
% 204.28/204.29 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Orderings_Otop,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Orderings_Otop(T_1)
% 204.28/204.29 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Orderings_Oord,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Orderings_Oord(T_1)
% 204.28/204.29 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Orderings_Obot,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Orderings_Obot(T_1)
% 204.28/204.29 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Groups_Ouminus,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Groups_Ouminus(T_1)
% 204.28/204.29 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Groups_Ominus,axiom,
% 204.28/204.29 ! [T_2,T_1] :
% 204.28/204.29 ( class_Groups_Ominus(T_1)
% 204.28/204.29 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_fun__Enum_Oenum,axiom,
% 204.28/204.29 ! [T_1,T_2] :
% 204.28/204.29 ( ( class_Enum_Oenum(T_2)
% 204.28/204.29 & class_Enum_Oenum(T_1) )
% 204.28/204.29 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 204.28/204.29 class_Nat_Osize(tc_Com_Ocom) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 204.28/204.29 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 204.28/204.29 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 204.28/204.29 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 204.28/204.29 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 204.28/204.29 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 204.28/204.29 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 204.28/204.29 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 204.28/204.29 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 204.28/204.29 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 204.28/204.29 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 204.28/204.29 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 204.28/204.29
% 204.28/204.29 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 204.28/204.30 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 204.28/204.30 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 204.28/204.30 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 204.28/204.30 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 204.28/204.30 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 204.28/204.30 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 204.28/204.30 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 204.28/204.30 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 204.28/204.30 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 204.28/204.30 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 204.28/204.30 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 204.28/204.30 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 204.28/204.30 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 204.28/204.30 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 204.28/204.30 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 204.28/204.30 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 204.28/204.30 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 204.28/204.30 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 204.28/204.30 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 204.28/204.30 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 204.28/204.30 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 204.28/204.30 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 204.28/204.30 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 204.28/204.30 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 204.28/204.30 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 204.28/204.30 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 204.28/204.30 class_Orderings_Opreorder(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 204.28/204.30 class_Orderings_Olinorder(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 204.28/204.30 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 204.28/204.30 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 204.28/204.30 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 204.28/204.30 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 204.28/204.30 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 204.28/204.30 class_Lattices_Olattice(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 204.28/204.30 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 204.28/204.30 class_Divides_Oring__div(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 204.28/204.30 class_Rings_Omult__zero(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 204.28/204.30 class_Orderings_Oorder(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 204.28/204.30 class_Int_Oring__char__0(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 204.28/204.30 class_Int_Onumber__ring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 204.28/204.30 class_Rings_Osemiring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 204.28/204.30 class_Orderings_Oord(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 204.28/204.30 class_Groups_Ouminus(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 204.28/204.30 class_Groups_Osgn__if(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 204.28/204.30 class_Groups_Oabs__if(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 204.28/204.30 class_Rings_Oring__1(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 204.28/204.30 class_Groups_Ominus(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Power_Opower,axiom,
% 204.28/204.30 class_Power_Opower(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 204.28/204.30 class_Groups_Ozero(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oring,axiom,
% 204.28/204.30 class_Rings_Oring(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 204.28/204.30 class_Rings_Oidom(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Int_Onumber,axiom,
% 204.28/204.30 class_Int_Onumber(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Groups_Oone,axiom,
% 204.28/204.30 class_Groups_Oone(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 204.28/204.30 class_Rings_Odvd(tc_Int_Oint) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 204.28/204.30 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 204.28/204.30 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 204.28/204.30 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 204.28/204.30 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 204.28/204.30 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 204.28/204.30 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 204.28/204.30 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 204.28/204.30 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 204.28/204.30 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 204.28/204.30 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 204.28/204.30 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 204.28/204.30 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 204.28/204.30 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 204.28/204.30 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 204.28/204.30 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 204.28/204.30 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 204.28/204.30 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 204.28/204.30 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 204.28/204.30 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 204.28/204.30 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 204.28/204.30 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 204.28/204.30 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 204.28/204.30 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 204.28/204.30 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 204.28/204.30 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 204.28/204.30 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 204.28/204.30 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 204.28/204.30 class_Lattices_Olattice(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 204.28/204.30 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 204.28/204.30 class_Orderings_Oorder(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 204.28/204.30 class_Rings_Osemiring(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 204.28/204.30 class_Orderings_Oord(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 204.28/204.30 class_Orderings_Obot(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 204.28/204.30 class_Groups_Ominus(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Power_Opower,axiom,
% 204.28/204.30 class_Power_Opower(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 204.28/204.30 class_Groups_Ozero(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 204.28/204.30 class_Int_Onumber(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 204.28/204.30 class_Groups_Oone(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 204.28/204.30 class_Rings_Odvd(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 204.28/204.30 class_Nat_Osize(tc_Nat_Onat) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 204.28/204.30 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 204.28/204.30 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 204.28/204.30 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 204.28/204.30 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 204.28/204.30 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 204.28/204.30 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 204.28/204.30 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 204.28/204.30 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 204.28/204.30 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 204.28/204.30 class_Lattices_Olattice(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 204.28/204.30 class_Orderings_Oorder(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 204.28/204.30 class_Orderings_Otop(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 204.28/204.30 class_Orderings_Oord(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 204.28/204.30 class_Orderings_Obot(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 204.28/204.30 class_Groups_Ouminus(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 204.28/204.30 class_Groups_Ominus(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 204.28/204.30 class_Enum_Oenum(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 204.28/204.30 class_Nat_Osize(tc_HOL_Obool) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 204.28/204.30 class_Nat_Osize(tc_Com_Ostate) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 204.28/204.30 ! [T_1] :
% 204.28/204.30 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 204.28/204.30 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_List__Olist__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 204.28/204.30 ! [T_1,T_2] :
% 204.28/204.30 ( ( class_Finite__Set_Ofinite(T_2)
% 204.28/204.30 & class_Finite__Set_Ofinite(T_1) )
% 204.28/204.30 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_sum__Enum_Oenum,axiom,
% 204.28/204.30 ! [T_1,T_2] :
% 204.28/204.30 ( ( class_Enum_Oenum(T_2)
% 204.28/204.30 & class_Enum_Oenum(T_1) )
% 204.28/204.30 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_sum__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 204.28/204.30 ! [T_1] :
% 204.28/204.30 ( class_Finite__Set_Ofinite(T_1)
% 204.28/204.30 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 204.28/204.30 ! [T_1] :
% 204.28/204.30 ( class_Enum_Oenum(T_1)
% 204.28/204.30 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 204.28/204.30 ! [T_1,T_2] :
% 204.28/204.30 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 204.28/204.30 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 204.28/204.30 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 204.28/204.30 ! [T_1,T_2] :
% 204.28/204.30 ( ( class_Finite__Set_Ofinite(T_2)
% 204.28/204.30 & class_Finite__Set_Ofinite(T_1) )
% 204.28/204.30 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_prod__Enum_Oenum,axiom,
% 204.28/204.30 ! [T_1,T_2] :
% 204.28/204.30 ( ( class_Enum_Oenum(T_2)
% 204.28/204.30 & class_Enum_Oenum(T_1) )
% 204.28/204.30 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_prod__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 204.28/204.30 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 204.28/204.30 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 204.28/204.30 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 204.28/204.30 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 204.28/204.30 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 204.28/204.30 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 204.28/204.30 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 204.28/204.30 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 204.28/204.30 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 204.28/204.30 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 204.28/204.30 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 204.28/204.30 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 204.28/204.30 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 204.28/204.30 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 204.28/204.30 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 204.28/204.30 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 204.28/204.30 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 204.28/204.30 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 204.28/204.30 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 204.28/204.30 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 204.28/204.30 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 204.28/204.30 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 204.28/204.30 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 204.28/204.30 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 204.28/204.30 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 204.28/204.30 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 204.28/204.30 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 204.28/204.30 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 204.28/204.30 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 204.28/204.30 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 204.28/204.30 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 204.28/204.30 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 204.28/204.30 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 204.28/204.30 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 204.28/204.30 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 204.28/204.30 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 204.28/204.30 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 204.28/204.30 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 204.28/204.30 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 204.28/204.30 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 204.28/204.30
% 204.28/204.30 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 204.28/204.30 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 204.28/204.30
% 204.28/204.30 %----Helper facts (20)
% 204.28/204.30 fof(help_c__COMBI__1,axiom,
% 204.28/204.30 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__COMBK__1,axiom,
% 204.28/204.30 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__COMBB__1,axiom,
% 204.28/204.30 ! [V_R_2,V_Qa_2,V_Pa_2,T_c,T_a,T_b] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__COMBC__1,axiom,
% 204.28/204.30 ! [V_R_2,V_Qa_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__COMBS__1,axiom,
% 204.28/204.30 ! [V_R_2,V_Qa_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fequal__1,axiom,
% 204.28/204.30 ! [V_y_2,V_x_2] :
% 204.28/204.30 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 204.28/204.30 | V_x_2 = V_y_2 ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fequal__2,axiom,
% 204.28/204.30 ! [V_y_2,V_x_2] :
% 204.28/204.30 ( V_x_2 != V_y_2
% 204.28/204.30 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fFalse__1,axiom,
% 204.28/204.30 ~ hBOOL(c_fFalse) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fTrue__1,axiom,
% 204.28/204.30 hBOOL(c_fTrue) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fNot__1,axiom,
% 204.28/204.30 ! [V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 204.28/204.30 | ~ hBOOL(V_Pa_2) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fNot__2,axiom,
% 204.28/204.30 ! [V_Pa_2] :
% 204.28/204.30 ( ~ ~ hBOOL(V_Pa_2)
% 204.28/204.30 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fconj__1,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(V_Pa_2)
% 204.28/204.30 | ~ hBOOL(V_Qa_2)
% 204.28/204.30 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fconj__2,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 204.28/204.30 | hBOOL(V_Pa_2) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fconj__3,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 204.28/204.30 | hBOOL(V_Qa_2) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fdisj__1,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(V_Pa_2)
% 204.28/204.30 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fdisj__2,axiom,
% 204.28/204.30 ! [V_Pa_2,V_Qa_2] :
% 204.28/204.30 ( ~ hBOOL(V_Qa_2)
% 204.28/204.30 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fdisj__3,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 204.28/204.30 | hBOOL(V_Pa_2)
% 204.28/204.30 | hBOOL(V_Qa_2) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fimplies__1,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( hBOOL(V_Pa_2)
% 204.28/204.30 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fimplies__2,axiom,
% 204.28/204.30 ! [V_Pa_2,V_Qa_2] :
% 204.28/204.30 ( ~ hBOOL(V_Qa_2)
% 204.28/204.30 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 204.28/204.30
% 204.28/204.30 fof(help_c__fimplies__3,axiom,
% 204.28/204.30 ! [V_Qa_2,V_Pa_2] :
% 204.28/204.30 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 204.28/204.30 | ~ hBOOL(V_Pa_2)
% 204.28/204.30 | hBOOL(V_Qa_2) ) ).
% 204.28/204.30
% 204.28/204.30 %----Conjectures (3)
% 204.28/204.30 fof(conj_0,hypothesis,
% 204.28/204.30 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),v_c),c_Natural_Oevalc(v_c))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ).
% 204.28/204.30
% 204.28/204.30 fof(conj_1,hypothesis,
% 204.28/204.30 c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ).
% 204.28/204.30
% 204.28/204.30 fof(conj_2,conjecture,
% 204.28/204.30 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ).
% 204.28/204.30
% 204.28/204.30 %------------------------------------------------------------------------------
% 204.28/204.30 %-------------------------------------------
% 204.28/204.30 % Proof found
% 204.28/204.30 % SZS status Theorem for theBenchmark
% 204.28/204.30 % SZS output start Proof
% 204.30/204.30 %ClaNum:10534(EqnAxiom:3160)
% 204.30/204.30 %VarNum:71361(SingletonVarNum:20671)
% 204.30/204.30 %MaxLitNum:8
% 204.30/204.30 %MaxfuncDepth:13
% 204.30/204.30 %SharedTerms:1041
% 204.30/204.30 %goalClause: 4802
% 204.30/204.30 %singleGoalClaCount:1
% 204.30/204.30 [3164]P1(a923)
% 204.30/204.30 [3165]P1(a927)
% 204.30/204.30 [3166]P107(a191)
% 204.30/204.30 [3167]P108(a923)
% 204.30/204.30 [3168]P108(a927)
% 204.30/204.30 [3169]P108(a1)
% 204.30/204.30 [3170]P108(a103)
% 204.30/204.30 [3171]P109(a927)
% 204.30/204.30 [3172]P109(a1)
% 204.30/204.30 [3173]P109(a103)
% 204.30/204.30 [3174]P110(a923)
% 204.30/204.30 [3175]P110(a927)
% 204.30/204.30 [3176]P110(a1)
% 204.30/204.30 [3177]P110(a103)
% 204.30/204.30 [3178]P111(a923)
% 204.30/204.30 [3179]P111(a927)
% 204.30/204.30 [3180]P111(a1)
% 204.30/204.30 [3181]P111(a103)
% 204.30/204.30 [3182]P2(a923)
% 204.30/204.30 [3183]P2(a927)
% 204.30/204.30 [3184]P2(a1)
% 204.30/204.30 [3185]P2(a103)
% 204.30/204.30 [3186]P79(a923)
% 204.30/204.30 [3187]P79(a927)
% 204.30/204.30 [3188]P79(a1)
% 204.30/204.30 [3189]P80(a923)
% 204.30/204.30 [3190]P102(a923)
% 204.30/204.30 [3191]P102(a927)
% 204.30/204.30 [3192]P102(a1)
% 204.30/204.30 [3193]P81(a1)
% 204.30/204.30 [3194]P3(a923)
% 204.30/204.30 [3195]P3(a930)
% 204.30/204.30 [3196]P68(a1)
% 204.30/204.30 [3197]P69(a927)
% 204.30/204.30 [3198]P69(a1)
% 204.30/204.30 [3199]P69(a103)
% 204.30/204.30 [3200]P112(a1)
% 204.30/204.30 [3201]P71(a927)
% 204.30/204.30 [3202]P71(a1)
% 204.30/204.30 [3203]P71(a103)
% 204.30/204.30 [3204]P72(a927)
% 204.30/204.30 [3205]P72(a1)
% 204.30/204.30 [3206]P72(a103)
% 204.30/204.30 [3207]P103(a923)
% 204.30/204.30 [3208]P103(a927)
% 204.30/204.30 [3209]P103(a1)
% 204.30/204.30 [3210]P100(a923)
% 204.30/204.30 [3211]P100(a927)
% 204.30/204.30 [3212]P100(a1)
% 204.30/204.30 [3213]P140(a927)
% 204.30/204.30 [3214]P140(a1)
% 204.30/204.30 [3215]P140(a103)
% 204.30/204.30 [3216]P4(a923)
% 204.30/204.30 [3217]P85(a927)
% 204.30/204.30 [3218]P85(a1)
% 204.30/204.30 [3219]P85(a103)
% 204.30/204.30 [3220]P73(a927)
% 204.30/204.30 [3221]P73(a1)
% 204.30/204.30 [3222]P73(a103)
% 204.30/204.30 [3223]P74(a927)
% 204.30/204.30 [3224]P74(a1)
% 204.30/204.30 [3225]P74(a103)
% 204.30/204.30 [3226]P70(a927)
% 204.30/204.30 [3227]P70(a1)
% 204.30/204.30 [3228]P70(a103)
% 204.30/204.30 [3229]P86(a927)
% 204.30/204.30 [3230]P86(a1)
% 204.30/204.30 [3231]P86(a103)
% 204.30/204.30 [3232]P87(a927)
% 204.30/204.30 [3233]P87(a1)
% 204.30/204.30 [3234]P87(a103)
% 204.30/204.30 [3235]P76(a1)
% 204.30/204.30 [3236]P113(a1)
% 204.30/204.30 [3237]P114(a1)
% 204.30/204.30 [3238]P141(a927)
% 204.30/204.30 [3239]P141(a1)
% 204.30/204.30 [3240]P141(a103)
% 204.30/204.30 [3241]P115(a927)
% 204.30/204.30 [3242]P115(a1)
% 204.30/204.30 [3243]P115(a103)
% 204.30/204.30 [3244]P145(a927)
% 204.30/204.30 [3245]P145(a1)
% 204.30/204.30 [3246]P120(a927)
% 204.30/204.30 [3247]P120(a1)
% 204.30/204.30 [3248]P120(a103)
% 204.30/204.30 [3249]P116(a923)
% 204.30/204.30 [3250]P82(a927)
% 204.30/204.30 [3251]P82(a1)
% 204.30/204.30 [3252]P82(a103)
% 204.30/204.30 [3253]P83(a927)
% 204.30/204.30 [3254]P83(a1)
% 204.30/204.30 [3255]P83(a103)
% 204.30/204.30 [3256]P101(a923)
% 204.30/204.30 [3257]P127(a927)
% 204.30/204.30 [3258]P127(a1)
% 204.30/204.30 [3259]P127(a103)
% 204.30/204.30 [3260]P89(a927)
% 204.30/204.30 [3261]P89(a1)
% 204.30/204.30 [3262]P89(a103)
% 204.30/204.30 [3263]P84(a927)
% 204.30/204.30 [3264]P84(a1)
% 204.30/204.30 [3265]P84(a103)
% 204.30/204.30 [3266]P77(a1)
% 204.30/204.30 [3267]P130(a927)
% 204.30/204.30 [3268]P130(a1)
% 204.30/204.30 [3269]P130(a103)
% 204.30/204.30 [3270]P142(a1)
% 204.30/204.30 [3271]P135(a927)
% 204.30/204.30 [3272]P135(a1)
% 204.30/204.30 [3273]P135(a103)
% 204.30/204.30 [3274]P146(a927)
% 204.30/204.30 [3275]P146(a1)
% 204.30/204.30 [3276]P146(a103)
% 204.30/204.30 [3277]P90(a927)
% 204.30/204.30 [3278]P90(a1)
% 204.30/204.30 [3279]P90(a103)
% 204.30/204.30 [3280]P128(a1)
% 204.30/204.30 [3281]P129(a1)
% 204.30/204.30 [3282]P136(a927)
% 204.30/204.30 [3283]P136(a1)
% 204.30/204.30 [3284]P136(a103)
% 204.30/204.30 [3285]P138(a927)
% 204.30/204.30 [3286]P138(a1)
% 204.30/204.30 [3287]P138(a103)
% 204.30/204.30 [3288]P137(a927)
% 204.30/204.30 [3289]P137(a1)
% 204.30/204.30 [3290]P137(a103)
% 204.30/204.30 [3291]P131(a927)
% 204.30/204.30 [3292]P131(a1)
% 204.30/204.30 [3293]P131(a103)
% 204.30/204.30 [3294]P121(a927)
% 204.30/204.30 [3295]P121(a1)
% 204.30/204.30 [3296]P121(a103)
% 204.30/204.30 [3297]P132(a927)
% 204.30/204.30 [3298]P132(a1)
% 204.30/204.30 [3299]P132(a103)
% 204.30/204.30 [3300]P133(a1)
% 204.30/204.30 [3301]P134(a1)
% 204.30/204.30 [3302]P143(a1)
% 204.30/204.30 [3303]P117(a927)
% 204.30/204.30 [3304]P117(a1)
% 204.30/204.30 [3305]P117(a103)
% 204.30/204.30 [3306]P144(a1)
% 204.30/204.30 [3307]P94(a1)
% 204.30/204.30 [3308]P61(a927)
% 204.30/204.30 [3309]P61(a1)
% 204.30/204.30 [3310]P61(a103)
% 204.30/204.30 [3311]P62(a1)
% 204.30/204.30 [3312]P104(a927)
% 204.30/204.30 [3313]P104(a1)
% 204.30/204.30 [3314]P104(a103)
% 204.30/204.30 [3315]P147(a927)
% 204.30/204.30 [3316]P147(a1)
% 204.30/204.30 [3317]P147(a103)
% 204.30/204.30 [3318]P88(a1)
% 204.30/204.30 [3319]P139(a1)
% 204.30/204.30 [3320]P78(a927)
% 204.30/204.30 [3321]P78(a1)
% 204.30/204.30 [3322]P78(a103)
% 204.30/204.30 [3323]P97(a923)
% 204.30/204.30 [3324]P91(a923)
% 204.30/204.30 [3325]P91(a1)
% 204.30/204.30 [3326]P122(a1)
% 204.30/204.30 [3327]P119(a1)
% 204.30/204.30 [3328]P75(a1)
% 204.30/204.30 [3329]P92(a1)
% 204.30/204.30 [3330]P95(a1)
% 204.30/204.30 [3331]P96(a927)
% 204.30/204.30 [3332]P96(a1)
% 204.30/204.30 [3333]P96(a103)
% 204.30/204.30 [3334]P118(a927)
% 204.30/204.30 [3335]P93(a927)
% 204.30/204.30 [3336]P93(a1)
% 204.30/204.30 [3337]P93(a103)
% 204.30/204.30 [3338]P63(a923)
% 204.30/204.30 [3339]P63(a930)
% 204.30/204.30 [3340]P106(a923)
% 204.30/204.30 [3341]P106(a924)
% 204.30/204.30 [3342]P106(a927)
% 204.30/204.30 [3343]P106(a930)
% 204.30/204.30 [3344]P106(a925)
% 204.30/204.30 [3345]P106(a103)
% 204.30/204.30 [3346]P106(a327)
% 204.30/204.30 [3347]P105(a930)
% 204.30/204.30 [3348]P105(a1)
% 204.30/204.30 [3349]P123(a927)
% 204.30/204.30 [3350]P123(a1)
% 204.30/204.30 [3351]P123(a103)
% 204.30/204.30 [3352]P99(a923)
% 204.30/204.30 [3368]P38(a927,a244)
% 204.30/204.30 [3369]P38(a927,a321)
% 204.30/204.30 [3370]P39(a927,a244)
% 204.30/204.30 [4719]~E(a101,a83)
% 204.30/204.30 [4720]~P107(a243)
% 204.30/204.30 [3161]E(f2(a1),a83)
% 204.30/204.30 [3162]E(f104(a103),a3)
% 204.30/204.30 [3163]E(f23(a103),a24)
% 204.30/204.30 [3353]E(f192(a927),f2(a927))
% 204.30/204.30 [3354]E(f28(a25),f2(a927))
% 204.30/204.30 [3355]E(f105(a927),f237(a927))
% 204.30/204.30 [3356]E(f114(a927),f238(a927))
% 204.30/204.30 [3357]E(f106(a1),f32(a1))
% 204.30/204.30 [3358]E(f84(a243),f2(a927))
% 204.30/204.30 [3359]E(f84(a191),f2(a927))
% 204.30/204.30 [3360]P5(f78(a1))
% 204.30/204.30 [3361]P5(f2(a1))
% 204.30/204.30 [3417]P38(f934(a927,a927),a33)
% 204.30/204.30 [3764]E(f323(a927,a927,a244,a244),a33)
% 204.30/204.30 [4721]~E(f78(a1),f2(a1))
% 204.30/204.30 [3362]E(f4(f2(a103)),f2(a927))
% 204.30/204.30 [3363]E(f115(f2(a927)),f2(a927))
% 204.30/204.30 [3372]E(f331(f79(a1),a83),a83)
% 204.30/204.30 [3375]E(f331(a116,f2(a927)),f78(a927))
% 204.30/204.30 [3376]E(f331(a108,f78(a1)),f78(a927))
% 204.30/204.30 [3377]E(f331(a3,f78(a927)),f78(a103))
% 204.30/204.30 [3379]E(f331(a3,f2(a927)),f2(a103))
% 204.30/204.30 [3381]E(f331(f107(a1),a83),f2(a1))
% 204.30/204.30 [3382]E(f331(f107(a103),a83),f2(a103))
% 204.30/204.30 [3383]E(f331(a108,f2(a1)),f2(a927))
% 204.30/204.30 [3384]E(f331(f193(a923),a243),f2(a927))
% 204.30/204.30 [3385]E(f331(f193(a923),a191),f2(a927))
% 204.30/204.30 [3386]E(f331(f193(a925),a25),f2(a927))
% 204.30/204.30 [3387]E(f331(f107(a927),a83),f2(a927))
% 204.30/204.30 [3393]E(f331(f79(a1),f78(a1)),a101)
% 204.30/204.30 [3401]E(f331(f193(a103),f2(a103)),f2(a927))
% 204.30/204.30 [3402]E(f331(f104(a1),f78(a927)),f78(a1))
% 204.30/204.30 [3403]E(f331(f104(a1),f2(a927)),f2(a1))
% 204.30/204.30 [3404]E(f331(f79(a1),f2(a1)),f2(a1))
% 204.30/204.30 [3414]E(f331(a108,f78(a1)),f331(a116,f2(a927)))
% 204.30/204.30 [3415]E(f322(f934(a927,a927),a33),a34)
% 204.30/204.30 [3416]E(f324(f934(a927,a927),a33),a69)
% 204.30/204.30 [3443]E(f331(f286(a927),f2(a927)),f192(f935(a927,a923)))
% 204.30/204.30 [3444]E(f331(f287(a927),f2(a927)),f246(f935(a927,a923)))
% 204.30/204.30 [3452]P41(f192(f935(a1,a923)))
% 204.30/204.30 [3486]E(f331(f331(f23(a103),f2(a103)),f78(a103)),f2(a103))
% 204.30/204.30 [3563]P107(f331(f331(f240(a1),a101),f2(a1)))
% 204.30/204.30 [3587]P107(f331(f331(f239(a1),f2(a1)),f78(a1)))
% 204.30/204.30 [3589]P107(f331(f331(f240(a1),f2(a1)),f78(a1)))
% 204.30/204.30 [3795]E(f331(f331(f293(a927,a927,a927),a321),f311(a927,a321)),a244)
% 204.30/204.30 [3834]P42(a1,a927,a108,f331(f239(a1),f2(a1)))
% 204.30/204.30 [3838]E(f331(f331(f39(a927,f935(a927,a923)),f246(f935(a927,a923))),f286(a927)),f246(f935(a927,a923)))
% 204.30/204.30 [3839]E(f331(f331(f39(a927,f935(a927,a923)),f246(f935(a927,a923))),f305(a927)),f246(f935(a927,a923)))
% 204.30/204.30 [3840]E(f331(f331(f39(a927,f935(a927,a923)),f246(f935(a927,a923))),f287(a927)),f246(f935(a927,a923)))
% 204.30/204.30 [3841]E(f331(f331(f40(a927,f935(a927,a923)),f246(f935(a927,a923))),f308(a927)),f192(f935(a927,a923)))
% 204.30/204.30 [3857]P24(a927,a1,f104(a1),f246(f935(a927,a923)))
% 204.30/204.30 [3871]P42(a927,a1,f104(a1),f331(f16(a923,a927),a191))
% 204.30/204.30 [4007]E(f331(f73(a927,a103,a1,a3),a108),f107(a103))
% 204.30/204.30 [4232]P57(a103,a927,a20,a3,f246(f935(a927,a923)))
% 204.30/204.30 [4238]P57(a1,f935(f934(a927,a927),a923),a110,a89,a102)
% 204.30/204.30 [4493]E(f262(a1,a1,a1,a1,f32(a1),f79(a1)),a51)
% 204.30/204.30 [4736]~E(f331(f107(a1),a101),f331(f107(a1),a83))
% 204.30/204.30 [4737]~P107(f331(a197,f78(a1)))
% 204.30/204.30 [4738]~P107(f331(a197,f2(a1)))
% 204.30/204.30 [4775]~P107(f331(f331(f240(a1),a83),f2(a1)))
% 204.30/204.30 [3435]E(f331(f331(f23(a1),a101),a101),a83)
% 204.30/204.30 [3450]E(f331(f104(a1),f331(a116,f2(a927))),f78(a1))
% 204.30/204.30 [3515]E(f331(f35(a930),f246(f935(a930,a923))),f78(a927))
% 204.30/204.30 [3535]P107(f331(a197,f331(f107(a1),a101)))
% 204.30/204.30 [3537]P107(f331(f331(f239(a1),a101),a83))
% 204.30/204.30 [3539]P107(f331(f331(f240(a1),a101),a83))
% 204.30/204.30 [3598]E(f331(f331(f313(a927),f2(a927)),f192(f935(a927,a923))),f331(f305(a927),f2(a927)))
% 204.30/204.30 [3653]P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),a83)))
% 204.30/204.30 [3665]E(f331(f314(a927,a927,a116),f246(f935(a927,a923))),f331(f308(a927),f2(a927)))
% 204.30/204.30 [3702]P7(f934(a927,a927),f246(f935(f934(a927,a927),a923)),a112)
% 204.30/204.30 [4014]E(f331(f73(a927,a1,a103,f104(a1)),a20),a22)
% 204.30/204.30 [4075]P38(a927,f331(f266(f934(a927,a927)),f331(f261(a927,a927,a923),f240(a927))))
% 204.30/204.30 [4766]~P107(f331(a197,f331(f107(a1),a83)))
% 204.30/204.30 [4767]~P107(f331(f331(f239(a1),a83),a101))
% 204.30/204.30 [4768]~P107(f331(f331(f240(a1),a83),a83))
% 204.30/204.30 [4769]~P107(f331(f331(f240(a1),a83),a101))
% 204.30/204.30 [4770]~P107(f331(f331(f240(a1),a101),a101))
% 204.30/204.30 [4781]~P107(f331(f61(a927),f246(f935(a927,a923))))
% 204.30/204.30 [4782]~P107(f331(f61(a1),f246(f935(a1,a923))))
% 204.30/204.30 [4200]P27(a924,f192(f935(f926(a924),a923)),f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),a936),a937),a938)),f192(f935(f926(a924),a923))))
% 204.30/204.30 [4211]P23(a924,f192(f935(f926(a924),a923)),f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),a328),a937),f198(a937))),f192(f935(f926(a924),a923))))
% 204.30/204.30 [4659]E(f331(f261(a1,a1,a923),f331(f331(f8(f935(a1,a923),f935(a1,a923),a1),f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f240(a1),f2(a1))))),f331(f331(f7(a1,a1,f935(a1,a923)),f331(f331(f8(f935(a1,f935(a1,a923)),f935(a1,f935(a1,a923)),a1),f7(a1,a1,a923)),f331(f331(f8(f935(a1,a1),f935(a1,f935(a1,a923)),a1),f331(f8(a1,f935(a1,a923),a1),a328)),a222))),f78(a1)))),a218)
% 204.30/204.30 [4802]~P23(a924,f192(f935(f926(a924),a923)),f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),a936),a937),a938)),f192(f935(f926(a924),a923))))
% 204.30/204.30 [3739]E(f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101),f331(f79(a1),a101))
% 204.30/204.30 [3777]E(f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101),f331(f331(f23(a1),a83),a101))
% 204.30/204.30 [3940]E(f331(f331(f60(f934(a927,a927)),f246(f935(f934(a927,a927),a923))),a112),a102)
% 204.30/204.30 [3969]E(f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(a1))
% 204.30/204.30 [3970]E(f331(f107(a103),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(a103))
% 204.30/204.30 [3971]E(f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(a927))
% 204.30/204.30 [3975]E(f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(a116,f2(a927)))
% 204.30/204.30 [4360]E(f331(f331(f114(f935(f934(f934(a927,a927),f934(a927,a927)),a923)),a33),f311(f934(a927,a927),f192(f935(f934(f934(a927,a927),f934(a927,a927)),a923)))),a71)
% 204.30/204.30 [4427]E(f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),f78(a927)),f2(a927))),f192(f935(f934(a927,a927),a923))))),f78(a1))
% 204.30/204.30 [4428]E(f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),f2(a927)),f2(a927))),f192(f935(f934(a927,a927),a923))))),f2(a1))
% 204.30/204.30 [4441]E(f331(f266(f934(a927,a927)),f331(f261(a927,a927,a923),f331(f331(f8(a927,f935(a927,a923),a927),f331(f7(a927,a927,a923),a328)),a116))),a321)
% 204.30/204.30 [4413]E(f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),f331(a116,f331(a116,f2(a927))))
% 204.30/204.30 [4416]E(f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),f331(f331(f80(a927),f78(a927)),f78(a927)))
% 204.30/204.30 [4417]E(f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),f331(f35(a923),f246(f935(a923,a923))))
% 204.30/204.30 [4480]P5(f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))
% 204.30/204.30 [4549]P26(f935(f934(a927,a927),a923),f331(f331(f256(f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923),f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923)),a34),a70))
% 204.30/204.30 [4550]P26(f935(f934(a927,a927),a923),f331(f331(f256(f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923),f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923)),a69),a72))
% 204.30/204.30 [4590]E(f331(f331(f114(f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923)),f324(f934(a927,a927),a71)),f331(f331(f313(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),f192(f935(f934(a927,a927),a923))),f192(f935(f934(a927,a927),a923)))),f192(f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923)))),a72)
% 204.30/204.30 [4591]E(f331(f331(f114(f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923)),f322(f934(a927,a927),a71)),f331(f331(f313(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),f192(f935(f934(a927,a927),a923))),f192(f935(f934(a927,a927),a923)))),f192(f935(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a923)))),a70)
% 204.30/204.30 [4482]E(f331(a108,f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a116,f331(a116,f2(a927))))
% 204.30/204.30 [4527]E(f331(f104(a1),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))
% 204.30/204.30 [4560]P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.30 [4561]E(f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101)),f331(a116,f331(a116,f331(a116,f2(a927)))))
% 204.30/204.30 [4605]P5(f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101)))
% 204.30/204.30 [4631]E(f331(f104(a1),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101)))
% 204.30/204.30 [4644]P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))))
% 204.30/204.30 [3371]P6(x33711,a328)
% 204.30/204.30 [3765]P24(a927,a927,a116,x37651)
% 204.30/204.30 [3364]P106(f926(x33641))
% 204.30/204.30 [3365]P106(f931(x33651))
% 204.30/204.30 [3366]P106(f928(x33661))
% 204.30/204.30 [3367]P106(f929(x33671))
% 204.30/204.30 [3388]P38(a1,f109(x33881))
% 204.30/204.30 [3389]P38(a1,f111(x33891))
% 204.30/204.30 [3439]P38(f935(x34391,a923),f318(x34391))
% 204.30/204.30 [3440]P39(f935(x34401,a923),f318(x34401))
% 204.30/204.30 [3464]E(f247(x34641,x34641,a328),a328)
% 204.30/204.30 [3479]E(f45(a1,x34791,x34791),f2(a1))
% 204.30/204.30 [3532]P13(x35321,f935(x35321,a923),f313(x35321))
% 204.30/204.30 [4723]~E(f331(a116,x47231),x47231)
% 204.30/204.30 [4733]~E(f331(a116,x47331),f2(a927))
% 204.30/204.30 [3373]E(f331(f193(a927),x33731),x33731)
% 204.30/204.30 [3374]E(f331(f107(a1),x33741),x33741)
% 204.30/204.30 [3390]E(f331(a89,f332(x33901)),x33901)
% 204.30/204.30 [3391]E(f331(a3,f581(x33911)),x33911)
% 204.30/204.30 [3392]E(f245(x33921,f2(a103)),f2(a103))
% 204.30/204.30 [3405]E(f118(x34051,f117(x34051)),f117(x34051))
% 204.30/204.30 [3406]E(f156(x34061,f117(x34061)),f117(x34061))
% 204.30/204.30 [3411]E(f331(f171(x34111),f117(x34111)),f117(x34111))
% 204.30/204.30 [3412]E(f331(f175(x34121),f117(x34121)),f117(x34121))
% 204.30/204.30 [3413]E(f331(f172(x34131),f117(x34131)),f117(x34131))
% 204.30/204.30 [3418]E(f331(f107(a1),x34181),f331(f106(a1),x34181))
% 204.30/204.30 [3419]E(f331(a89,f331(a110,x34191)),x34191)
% 204.30/204.30 [3421]E(f331(a3,f331(a20,x34211)),x34211)
% 204.30/204.30 [3422]E(f331(a20,f331(a3,x34221)),x34221)
% 204.30/204.30 [3424]P5(f331(f104(a1),x34241))
% 204.30/204.30 [3433]E(f331(f193(f928(x34331)),f117(x34331)),f2(a927))
% 204.30/204.30 [3434]E(f331(f193(f929(x34341)),f123(x34341)),f2(a927))
% 204.30/204.30 [3455]E(f331(f331(f23(a927),x34551),f2(a927)),x34551)
% 204.30/204.30 [3456]E(f331(f331(f81(a927),x34561),f78(a927)),x34561)
% 204.30/204.30 [3457]E(f331(f331(f81(a1),x34571),f78(a1)),x34571)
% 204.30/204.30 [3458]E(f331(f331(f80(a927),x34581),f2(a927)),x34581)
% 204.30/204.30 [3459]E(f331(f331(f80(a1),x34591),f2(a1)),x34591)
% 204.30/204.30 [3460]E(f331(f331(f238(a927),x34601),f2(a927)),x34601)
% 204.30/204.30 [3461]E(f331(f331(f81(a927),x34611),f2(a927)),f2(a927))
% 204.30/204.30 [3462]E(f331(f331(f36(a1),x34621),f2(a1)),f2(a1))
% 204.30/204.30 [3463]E(f331(f331(f237(a927),x34631),f2(a927)),f2(a927))
% 204.30/204.30 [3470]E(f331(f176(x34701),f117(x34701)),f192(f935(x34701,a923)))
% 204.30/204.30 [3474]P107(f331(f141(x34741),f117(x34741)))
% 204.30/204.30 [3480]E(f331(f158(x34801,x34801),f5(x34801)),f32(f928(x34801)))
% 204.30/204.30 [3481]E(f331(f158(x34811,x34811),f32(x34811)),f32(f928(x34811)))
% 204.30/204.30 [3482]E(f45(a1,x34821,f2(a1)),x34821)
% 204.30/204.30 [3483]E(f331(f239(a927),f331(a116,x34831)),f331(f240(a927),x34831))
% 204.30/204.30 [3484]E(f331(f286(a927),f331(a116,x34841)),f331(f305(a927),x34841))
% 204.30/204.30 [3485]E(f331(f287(a927),f331(a116,x34851)),f331(f308(a927),x34851))
% 204.30/204.30 [3487]E(f45(a1,f2(a1),x34871),f2(a1))
% 204.30/204.30 [3500]E(f331(f331(f80(a927),x35001),f78(a927)),f331(a116,x35001))
% 204.30/204.30 [3509]E(f331(f306(a927,x35091),f2(a927)),f192(f935(a927,a923)))
% 204.30/204.30 [3521]E(f307(a927,f2(a927),x35211),f331(f305(a927),x35211))
% 204.30/204.30 [3566]E(f331(f331(f23(a927),f331(a116,x35661)),f78(a927)),x35661)
% 204.30/204.30 [3578]E(f47(f2(a1),x35781),f331(f331(f256(a1,a1),f2(a1)),f2(a1)))
% 204.30/204.30 [3628]P107(f331(f331(f240(a927),x36281),f331(a116,x36281)))
% 204.30/204.30 [3640]P107(f331(f331(f240(a927),f2(a927)),f331(a116,x36401)))
% 204.30/204.30 [3870]E(f92(x38701,x38701,f246(f935(x38701,a923)),f32(x38701)),f32(x38701))
% 204.30/204.30 [3927]E(f331(f331(f23(a103),f331(a3,f331(a116,f331(a20,x39271)))),f78(a103)),x39271)
% 204.30/204.30 [3998]P107(f331(f331(f239(a1),f331(f79(a1),f331(f104(a1),x39981))),f2(a1)))
% 204.30/204.30 [4145]P107(f331(f331(f240(a1),f331(f79(a1),f331(f104(a1),f331(a116,x41451)))),f2(a1)))
% 204.30/204.30 [4743]~E(f246(f935(x47431,a923)),f192(f935(x47431,a923)))
% 204.30/204.30 [4778]~P107(f331(f331(f240(a927),x47781),f2(a927)))
% 204.30/204.30 [4791]~P107(f331(f331(f240(a1),f331(f104(a1),x47911)),f2(a1)))
% 204.30/204.30 [3423]E(f124(x34231,f123(f929(x34231))),f123(x34231))
% 204.30/204.30 [3438]E(f183(x34381,f117(f928(x34381))),f117(f928(x34381)))
% 204.30/204.30 [3441]E(f331(f331(f81(a1),a83),x34411),a83)
% 204.30/204.30 [3442]E(f331(f331(f80(a1),a83),x34421),x34421)
% 204.30/204.30 [3445]E(f331(a108,f331(f104(a1),x34451)),x34451)
% 204.30/204.30 [3446]E(f331(f331(f23(a1),x34461),a83),x34461)
% 204.30/204.30 [3447]E(f331(f331(f80(a1),x34471),a83),x34471)
% 204.30/204.30 [3449]E(f331(f331(f23(a927),x34491),x34491),f2(a927))
% 204.30/204.30 [3453]E(f331(f35(a927),f331(f286(a927),x34531)),x34531)
% 204.30/204.30 [3454]E(f331(f79(a1),f331(f79(a1),x34541)),x34541)
% 204.30/204.30 [3465]E(f331(f331(f81(a927),f78(a927)),x34651),x34651)
% 204.30/204.30 [3466]E(f331(f331(f81(a1),f78(a1)),x34661),x34661)
% 204.30/204.30 [3467]E(f331(f331(f80(a927),f2(a927)),x34671),x34671)
% 204.30/204.30 [3468]E(f331(f331(f80(a1),f2(a1)),x34681),x34681)
% 204.30/204.30 [3469]E(f331(f331(f238(a927),f2(a927)),x34691),x34691)
% 204.30/204.30 [3475]E(f331(f331(f23(a927),f2(a927)),x34751),f2(a927))
% 204.30/204.30 [3476]E(f331(f331(f81(a927),f2(a927)),x34761),f2(a927))
% 204.30/204.30 [3477]E(f331(f331(f36(a1),f2(a1)),x34771),f2(a1))
% 204.30/204.30 [3478]E(f331(f331(f237(a927),f2(a927)),x34781),f2(a927))
% 204.30/204.30 [3488]E(f132(x34881,f331(f79(a1),x34881)),f136(a1,x34881))
% 204.30/204.30 [3493]E(f331(f306(a927,f2(a927)),x34931),f331(f286(a927),x34931))
% 204.30/204.30 [3494]E(f331(f331(f81(a1),a101),x34941),f331(f79(a1),x34941))
% 204.30/204.30 [3502]E(f331(a108,f331(f107(a1),x35021)),f331(f107(a927),x35021))
% 204.30/204.30 [3503]E(f331(a20,f331(f107(a103),x35031)),f331(f107(a927),x35031))
% 204.30/204.30 [3504]E(f331(f35(a927),f331(f305(a927),x35041)),f331(a116,x35041))
% 204.30/204.30 [3513]E(f331(f331(f80(a927),f78(a927)),x35131),f331(a116,x35131))
% 204.30/204.30 [3517]E(f331(f76(a1),f331(f104(a1),x35171)),f331(f104(a1),x35171))
% 204.30/204.30 [3518]E(f331(f106(a1),f331(f104(a1),x35181)),f331(f104(a1),x35181))
% 204.30/204.30 [3522]E(f331(f35(x35221),f192(f935(x35221,a923))),f2(a927))
% 204.30/204.30 [3524]E(f331(f331(f36(a927),x35241),f331(a116,f2(a927))),x35241)
% 204.30/204.30 [3533]E(f45(a927,x35331,f331(a116,f2(a927))),f2(a927))
% 204.30/204.30 [3534]E(f45(a1,x35341,f331(f107(a1),a101)),f2(a1))
% 204.30/204.30 [3548]E(f331(f331(f36(a1),x35481),f331(f107(a1),a101)),f331(f79(a1),x35481))
% 204.30/204.30 [3552]E(f143(a927,f331(f306(a927,x35521),f2(a927))),f117(a927))
% 204.30/204.30 [3553]E(f331(f331(f80(a1),x35531),f78(a1)),f331(f331(f23(a1),x35531),a101))
% 204.30/204.30 [3554]E(f331(f331(f23(a1),x35541),f78(a1)),f331(f331(f80(a1),x35541),a101))
% 204.30/204.30 [3559]P107(f331(f331(f198(a25),x35591),x35591))
% 204.30/204.30 [3560]P107(f331(f331(f239(a927),x35601),x35601))
% 204.30/204.30 [3561]P107(f331(f331(f239(a1),x35611),x35611))
% 204.30/204.30 [3562]P107(f331(f331(f291(a927),x35621),x35621))
% 204.30/204.30 [3567]E(f331(f79(a1),f331(f107(a1),x35671)),f331(f107(a1),f331(f79(a1),x35671)))
% 204.30/204.30 [3568]P107(f331(f61(a927),f331(f286(a927),x35681)))
% 204.30/204.30 [3569]P107(f331(f61(a927),f331(f305(a927),x35691)))
% 204.30/204.30 [3576]E(f165(x35761,f246(f935(x35761,a923))),f246(f935(f928(x35761),a923)))
% 204.30/204.30 [3581]P107(f331(f331(f239(a927),f2(a927)),x35811))
% 204.30/204.30 [3591]E(f331(f331(f80(a927),f115(x35911)),f331(a116,f2(a927))),f115(f331(a116,x35911)))
% 204.30/204.30 [3592]E(f331(f266(x35921),f331(f16(a923,x35921),a243)),f192(f935(x35921,a923)))
% 204.30/204.30 [3593]E(f331(f266(x35931),f331(f16(a923,x35931),a191)),f246(f935(x35931,a923)))
% 204.30/204.30 [3597]E(f331(f331(f313(a927),x35971),f331(f286(a927),x35971)),f331(f286(a927),f331(a116,x35971)))
% 204.30/204.30 [3609]E(f331(f331(f80(a1),f78(a1)),f331(f104(a1),x36091)),f331(f104(a1),f331(a116,x36091)))
% 204.30/204.30 [3611]E(f331(f331(f155(f928(x36111)),f117(x36111)),f117(f928(x36111))),f54(x36111,f117(x36111)))
% 204.30/204.30 [3631]E(f192(f935(f934(x36311,x36311),a923)),f267(x36311,f192(f935(x36311,a923))))
% 204.30/204.30 [3632]E(f331(f312(x36321),f246(f935(x36321,a923))),f246(f935(f935(x36321,a923),a923)))
% 204.30/204.30 [3633]E(f331(f79(f935(x36331,a923)),f192(f935(x36331,a923))),f246(f935(x36331,a923)))
% 204.30/204.30 [3634]E(f331(f79(f935(x36341,a923)),f246(f935(x36341,a923))),f192(f935(x36341,a923)))
% 204.30/204.30 [3636]P107(f331(f61(x36361),f192(f935(x36361,a923))))
% 204.30/204.30 [3638]E(f331(f306(a927,x36381),f331(a116,x36381)),f331(f331(f313(a927),x36381),f192(f935(a927,a923))))
% 204.30/204.30 [3639]E(f85(f934(a927,a927),f48(x36391,f2(a927))),f331(f331(f256(a927,a927),f2(a927)),x36391))
% 204.30/204.30 [3652]E(f331(f331(f313(a927),f331(a116,x36521)),f331(f305(a927),x36521)),f331(f305(a927),f331(a116,x36521)))
% 204.30/204.30 [3656]P38(x36561,f192(f935(f934(x36561,x36561),a923)))
% 204.30/204.30 [3657]P40(x36571,f192(f935(f934(x36571,x36571),a923)))
% 204.30/204.30 [3660]P107(f331(f331(f239(a1),f2(a1)),f331(f104(a1),x36601)))
% 204.30/204.30 [3667]E(f331(f331(f80(a927),f331(f193(a927),x36671)),f331(a116,f2(a927))),f331(f193(a927),f331(a116,x36671)))
% 204.30/204.30 [3772]P41(f331(f314(a927,a1,f104(a1)),x37721))
% 204.30/204.30 [3810]P53(x38101,f192(f935(x38101,a923)),f192(f935(f934(x38101,x38101),a923)))
% 204.30/204.30 [3830]E(f331(f331(f256(a1,a1),f331(f107(a1),a101)),f331(f331(f23(a1),x38301),f78(a1))),f50(f331(f107(a1),a101),x38301))
% 204.30/204.30 [3883]P60(x38831,f331(f16(f935(x38831,a923),x38831),f331(f16(a923,x38831),a243)))
% 204.30/204.30 [4087]P107(f331(f331(f333(f935(f934(a927,a927),a923)),f332(x40871)),a102))
% 204.30/204.30 [4113]P107(f331(f331(f333(f935(f934(a927,a927),a923)),f331(a110,x41131)),a102))
% 204.30/204.30 [4247]P24(x42471,f935(x42471,a923),f331(f331(f7(x42471,f935(x42471,a923),f935(x42471,a923)),f313(x42471)),f192(f935(x42471,a923))),f246(f935(x42471,a923)))
% 204.30/204.30 [4740]~E(f331(f331(f80(a1),x47401),x47401),a101)
% 204.30/204.30 [4765]~E(f331(a3,f331(a116,f331(a20,x47651))),f2(a103))
% 204.30/204.30 [4771]~P107(f331(a197,f331(f104(a1),x47711)))
% 204.30/204.30 [4774]~P107(f331(f331(f240(a927),x47741),x47741))
% 204.30/204.30 [4784]~P107(f331(f331(f239(a927),f331(a116,x47841)),x47841))
% 204.30/204.30 [3583]E(f331(a108,f331(f79(a1),f331(f104(a1),x35831))),f2(a927))
% 204.30/204.30 [3586]E(f331(f331(f80(a1),f331(f79(a1),x35861)),x35861),f2(a1))
% 204.30/204.30 [3590]E(f331(f35(a1),f331(f306(a1,f2(a1)),x35901)),f331(a108,x35901))
% 204.30/204.30 [3602]E(f331(f331(f248(a927),f331(a116,f2(a927))),x36021),f331(a116,f2(a927)))
% 204.30/204.30 [3699]E(f331(f285(x36991),f192(f935(f934(x36991,x36991),a923))),f192(f935(x36991,a923)))
% 204.30/204.30 [3707]E(f37(f935(x37071,a923),f192(f935(f935(x37071,a923),a923))),f192(f935(x37071,a923)))
% 204.30/204.30 [3708]E(f37(f935(x37081,a923),f246(f935(f935(x37081,a923),a923))),f246(f935(x37081,a923)))
% 204.30/204.30 [3709]E(f38(f935(x37091,a923),f192(f935(f935(x37091,a923),a923))),f246(f935(x37091,a923)))
% 204.30/204.30 [3710]E(f38(f935(x37101,a923),f246(f935(f935(x37101,a923),a923))),f192(f935(x37101,a923)))
% 204.30/204.30 [3714]P107(f331(f331(f291(a927),f331(a116,f2(a927))),x37141))
% 204.30/204.30 [3755]E(f331(f331(f313(f928(x37551)),f117(x37551)),f192(f935(f928(x37551),a923))),f165(x37551,f192(f935(x37551,a923))))
% 204.30/204.30 [3756]E(f331(f331(f313(f928(x37561)),f117(x37561)),f192(f935(f928(x37561),a923))),f166(x37561,f117(f935(x37561,a923))))
% 204.30/204.30 [3794]E(f331(f331(f80(a927),f4(x37941)),f331(a116,f2(a927))),f4(f331(a3,f331(a116,f331(a20,x37941)))))
% 204.30/204.30 [3821]E(f331(f35(a1),f331(f314(a927,a1,f104(a1)),x38211)),f331(f35(a927),x38211))
% 204.30/204.30 [3822]P107(f331(f331(f239(a927),x38221),f331(f331(f81(a927),x38221),x38221)))
% 204.30/204.30 [3861]E(f331(f314(a1,a927,a108),f307(a1,f2(a1),f331(f104(a1),x38611))),f331(f305(a927),x38611))
% 204.30/204.30 [3878]E(f331(f331(f36(a927),f331(a116,f2(a927))),f331(f107(a927),x38781)),f331(a108,f331(f331(f36(a1),f78(a1)),f331(f107(a1),x38781))))
% 204.30/204.30 [3880]E(f331(f176(a927),f143(a927,f331(f306(a927,f2(a927)),f331(a116,x38801)))),f331(f305(a927),x38801))
% 204.30/204.30 [3881]E(f331(f331(f80(a927),f331(f193(a103),x38811)),f331(a116,f2(a927))),f331(f193(a103),f331(a3,f331(a116,f331(a20,x38811)))))
% 204.30/204.30 [3900]P40(x39001,f311(x39001,f192(f935(f934(x39001,x39001),a923))))
% 204.30/204.30 [3901]P52(x39011,f311(x39011,f192(f935(f934(x39011,x39011),a923))))
% 204.30/204.30 [3902]E(f331(f314(a1,a927,a108),f331(f314(a927,a1,f104(a1)),x39021)),x39021)
% 204.30/204.30 [3933]E(f331(f331(f313(a927),f2(a927)),f331(f314(a927,a927,a116),f331(f286(a927),x39331))),f331(f286(a927),f331(a116,x39331)))
% 204.30/204.30 [3939]P55(x39391,x39391,f311(x39391,f192(f935(f934(x39391,x39391),a923))))
% 204.30/204.30 [3945]P107(f331(a197,f331(f79(a1),f331(f104(a1),f331(a116,x39451)))))
% 204.30/204.30 [3955]E(f331(f331(f23(f935(a927,a923)),f331(f287(a927),x39551)),f331(f331(f313(a927),x39551),f192(f935(a927,a923)))),f331(f287(a927),f331(a116,x39551)))
% 204.30/204.30 [3972]E(f331(f331(f80(a1),f331(f331(f23(a1),a83),x39721)),f331(f331(f23(a1),a83),x39721)),f331(f331(f23(a1),a83),f331(f331(f80(a1),x39721),x39721)))
% 204.30/204.30 [3987]E(f331(f331(f313(f935(x39871,a923)),f192(f935(x39871,a923))),f192(f935(f935(x39871,a923),a923))),f331(f312(x39871),f192(f935(x39871,a923))))
% 204.30/204.30 [4015]E(f331(f331(f23(f935(a927,a923)),f331(f308(a927),x40151)),f331(f331(f313(a927),f331(a116,x40151)),f192(f935(a927,a923)))),f331(f308(a927),f331(a116,x40151)))
% 204.30/204.30 [4125]E(f331(f107(a927),f331(f331(f80(a1),x41251),x41251)),f331(f331(f86(a927,a927),f331(f107(a927),x41251)),f331(f331(f18(a927,a927,a927),f80(a927)),f5(a927))))
% 204.30/204.30 [4502]P13(x45021,f935(x45021,a923),f331(f331(f8(f935(x45021,a923),f935(f935(x45021,a923),f935(x45021,a923)),x45021),f331(f7(f935(x45021,a923),f935(x45021,a923),f935(x45021,a923)),f23(f935(x45021,a923)))),f331(f331(f7(x45021,f935(x45021,a923),f935(x45021,a923)),f313(x45021)),f192(f935(x45021,a923)))))
% 204.30/204.30 [4589]E(f331(f266(f934(a1,a1)),f331(f261(a1,a1,a923),f331(f331(f8(f935(a1,a923),f935(a1,a923),a1),f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),x45891)))),f240(a1)))),f111(x45891))
% 204.30/204.30 [4622]E(f331(f266(f934(a1,a1)),f331(f261(a1,a1,a923),f331(f331(f18(a1,f935(a1,a923),f935(a1,a923)),f331(f331(f8(f935(a923,a923),f935(f935(a1,a923),f935(a1,a923)),a1),f8(a923,a923,a1)),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),x46221)))),f240(a1)))),f109(x46221))
% 204.30/204.30 [4675]E(f331(f266(f934(f935(x46751,a923),f935(x46751,a923))),f331(f261(f935(x46751,a923),f935(x46751,a923),a923),f331(f331(f7(f935(x46751,a923),f935(f935(x46751,a923),a923),f935(f935(x46751,a923),a923)),f331(f331(f8(f935(f935(x46751,a923),f935(a923,a923)),f935(f935(f935(x46751,a923),a923),f935(f935(x46751,a923),a923)),f935(x46751,a923)),f18(f935(x46751,a923),a923,a923)),f331(f331(f8(f935(f935(x46751,a923),a923),f935(f935(x46751,a923),f935(a923,a923)),f935(x46751,a923)),f331(f8(a923,f935(a923,a923),f935(x46751,a923)),a329)),f240(f935(x46751,a923))))),f61(x46751)))),f318(x46751))
% 204.30/204.30 [4788]~P107(f331(f61(f928(x47881)),f246(f935(f928(x47881),a923))))
% 204.30/204.30 [4800]~P107(f331(f331(f239(a1),f2(a1)),f331(f79(a1),f331(f104(a1),f331(a116,x48001)))))
% 204.30/204.30 [3734]E(f331(f331(f23(a1),f331(f331(f80(a1),x37341),a101)),a101),x37341)
% 204.30/204.30 [3748]E(f331(f176(a927),f143(a927,f331(f306(a927,f2(a927)),x37481))),f331(f286(a927),x37481))
% 204.30/204.30 [3994]E(f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x39941)),x39941),f331(f331(f23(a1),f331(f331(f80(a1),x39941),x39941)),a101))
% 204.30/204.30 [4042]E(f331(f290(x40421,x40421),f311(x40421,f192(f935(f934(x40421,x40421),a923)))),f311(x40421,f192(f935(f934(x40421,x40421),a923))))
% 204.30/204.30 [4090]P107(f331(f331(f239(a927),x40901),f331(f331(f81(a927),x40901),f331(f331(f81(a927),x40901),x40901))))
% 204.30/204.30 [4364]P107(f331(f61(a927),f331(f266(a927),f331(f331(f7(a927,a927,a923),f239(a927)),x43641))))
% 204.30/204.30 [4365]P107(f331(f61(a927),f331(f266(a927),f331(f331(f7(a927,a927,a923),f240(a927)),x43651))))
% 204.30/204.30 [4638]E(f331(f266(f934(x46381,x46381)),f331(f331(f8(f935(x46381,a923),a923,f934(x46381,x46381)),f87(x46381)),f331(f331(f7(f934(x46381,x46381),f935(x46381,f934(x46381,x46381)),f935(x46381,a923)),f331(f331(f8(f935(f934(x46381,x46381),a923),f935(f935(x46381,f934(x46381,x46381)),f935(x46381,a923)),f934(x46381,x46381)),f8(f934(x46381,x46381),a923,x46381)),a328)),f331(f331(f18(x46381,x46381,f934(x46381,x46381)),f256(x46381,x46381)),f5(x46381))))),f311(x46381,f192(f935(f934(x46381,x46381),a923))))
% 204.30/204.30 [4790]~E(f331(f331(f23(a1),f331(f331(f80(a1),x47901),x47901)),a101),a83)
% 204.30/204.30 [4792]~E(f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x47921)),x47921),f2(a1))
% 204.30/204.30 [4136]E(f331(f331(f80(a1),f331(f331(f23(a1),a101),x41361)),f331(f331(f23(a1),a101),x41361)),f331(f331(f23(a1),a101),f331(f331(f23(a1),f331(f331(f80(a1),x41361),x41361)),a101)))
% 204.30/204.30 [4255]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),a101),x42551)),f331(f331(f23(a1),a101),x42551))),a101),f331(f331(f23(a1),a101),f331(f331(f80(a1),x42551),x42551)))
% 204.30/204.30 [4287]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f80(a1),x42871),a101)),f331(f331(f80(a1),x42871),a101))),a101),f331(f331(f80(a1),f331(f331(f80(a1),x42871),x42871)),a101))
% 204.30/204.30 [4325]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),a101),x43251)),f331(f331(f23(a1),a101),x43251))),a101),f331(f331(f23(a1),a83),f331(f331(f23(a1),f331(f331(f80(a1),x43251),x43251)),a101)))
% 204.30/204.30 [4423]E(f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x44231),f2(a927))),f192(f935(f934(a927,a927),a923))))),f331(f104(a1),x44231))
% 204.30/204.30 [4433]E(f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),f336(x44331)),f520(x44331))),f192(f935(f934(a927,a927),a923))))),x44331)
% 204.30/204.30 [4466]E(f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x44661)),f331(f314(a927,a1,f104(a1)),f331(f266(a927),f331(f331(f8(a1,a923,a927),x44661),f104(a1)))))
% 204.30/204.30 [4510]P41(f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x45101)))
% 204.30/204.30 [4530]P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x45301),f192(f935(f934(a927,a927),a923)))),a72))
% 204.30/204.30 [4535]E(f331(f314(a1,a927,a108),f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),f331(f331(f8(a927,a923,a1),x45351),a108)))),f331(f266(a927),x45351))
% 204.30/204.30 [4690]E(f316(a927,f331(f331(f39(f934(a927,a927),f935(a927,a923)),f331(a110,x46901)),f331(f261(a927,a927,f935(a927,a923)),f331(f331(f7(a927,f935(a927,a923),f935(a927,f935(a927,a923))),f331(f331(f8(f935(a927,f935(f935(a927,a923),f935(a927,a923))),f935(f935(a927,a923),f935(a927,f935(a927,a923))),a927),f7(a927,f935(a927,a923),f935(a927,a923))),f331(f331(f8(f935(a927,a927),f935(a927,f935(f935(a927,a923),f935(a927,a923))),a927),f331(f8(a927,f935(f935(a927,a923),f935(a927,a923)),a927),f313(a927))),f23(a927)))),f192(f935(a927,a923)))))),f331(a108,x46901))
% 204.30/204.30 [4181]E(f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),x41811),x41811)),a101)),a101),f331(f331(f80(a1),x41811),x41811))
% 204.30/204.30 [4233]E(f331(f331(f23(a1),f331(f331(f23(a1),f331(f331(f80(a1),x42331),x42331)),a101)),a101),f331(f331(f80(a1),f331(f331(f23(a1),x42331),a101)),f331(f331(f23(a1),x42331),a101)))
% 204.30/204.30 [4439]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f80(a1),f331(f79(a1),x44391)),a101)),f331(f331(f80(a1),f331(f79(a1),x44391)),a101))),a101),f331(f79(a1),f331(f331(f23(a1),f331(f331(f80(a1),x44391),x44391)),a101)))
% 204.30/204.30 [4483]E(f331(f331(f80(a927),x44831),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a116,f331(a116,x44831)))
% 204.30/204.30 [4484]E(f331(f331(f81(a927),x44841),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f80(a927),x44841),x44841))
% 204.30/204.30 [4485]E(f331(f331(f36(a927),f331(f331(f80(a927),x44851),x44851)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x44851)
% 204.30/204.30 [4563]E(f45(a927,f331(a116,f331(a116,x45631)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a927,x45631,f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.30 [4705]E(f331(a89,f331(f331(f39(f934(a927,a927),f935(f934(a927,a927),a923)),f331(a110,x47051)),f331(f261(a927,a927,f935(f934(a927,a927),a923)),f331(f331(f8(f935(a927,f935(f934(a927,a927),a923)),f935(a927,f935(f934(a927,a927),a923)),a927),f331(f8(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923),a927),f289(f934(a927,a927),f934(a927,a927),a112))),f331(f331(f7(a927,f935(f934(a927,a927),a923),f935(a927,f935(f934(a927,a927),a923))),f331(f331(f8(f935(a927,f935(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f935(f935(f934(a927,a927),a923),f935(a927,f935(f934(a927,a927),a923))),a927),f7(a927,f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f8(f935(a927,f934(a927,a927)),f935(a927,f935(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),a927),f331(f8(f934(a927,a927),f935(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),a927),f313(f934(a927,a927)))),f331(f7(a927,a927,f934(a927,a927)),f256(a927,a927))))),f192(f935(f934(a927,a927),a923))))))),f331(f79(a1),x47051))
% 204.30/204.30 [4558]E(f331(f331(f80(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x45581),f331(a116,f331(a116,x45581)))
% 204.30/204.30 [4559]E(f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x45591),f331(f331(f80(a927),x45591),x45591))
% 204.30/204.30 [4595]E(f331(f331(f36(a927),f331(a116,f331(a116,x45951))),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a116,f331(f331(f36(a927),x45951),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.30/204.30 [4645]E(f331(f331(f80(a927),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x46451),f331(a116,f331(a116,f331(a116,x46451))))
% 204.30/204.30 [4717]E(f331(f261(a1,a1,f934(a1,a1)),f331(f331(f18(a1,f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),f331(f331(f8(f935(a1,f935(f934(a1,a1),f934(a1,a1))),f935(f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),a1),f18(a1,f934(a1,a1),f934(a1,a1))),f331(f331(f8(f935(a1,f934(a1,a1)),f935(a1,f935(f934(a1,a1),f934(a1,a1))),a1),f331(f18(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f331(f331(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f100(f934(a1,a1))),f331(f331(f8(a1,a923,a1),f331(f239(a1),f2(a1))),f331(f331(f7(a1,a1,a1),f23(a1)),x47171))))),f331(f331(f7(a1,f935(a1,a1),f935(a1,f934(a1,a1))),f331(f331(f8(f935(a1,f934(a1,a1)),f935(f935(a1,a1),f935(a1,f934(a1,a1))),a1),f8(a1,f934(a1,a1),a1)),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f331(f331(f7(a1,a1,a1),f331(f331(f8(a1,f935(a1,a1),a1),f80(a1)),f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f78(a1))))),f331(f331(f7(a1,a1,a1),f23(a1)),x47171))))),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))),f43(x47171))
% 204.30/204.30 [3408]P106(f933(x34081,x34082))
% 204.30/204.30 [3409]P106(f934(x34091,x34092))
% 204.30/204.30 [3410]P106(f932(x34101,x34102))
% 204.30/204.30 [3427]P12(a1,f182(x34271,x34272))
% 204.30/204.30 [3428]P38(x34281,f157(x34281,x34282))
% 204.30/204.30 [3429]P39(x34291,f267(x34291,x34292))
% 204.30/204.30 [3430]P39(x34301,f311(x34301,x34302))
% 204.30/204.30 [3431]P40(x34311,f267(x34311,x34312))
% 204.30/204.30 [3432]P52(x34321,f267(x34321,x34322))
% 204.30/204.30 [3495]P32(x34951,x34952,f117(x34951))
% 204.30/204.30 [3528]P53(x35281,x35282,f267(x35281,x35282))
% 204.30/204.30 [3529]P55(x35291,x35291,f267(x35291,x35292))
% 204.30/204.30 [3797]P24(x37971,x37971,f5(x37971),x37972)
% 204.30/204.30 [3798]P24(x37981,x37981,f32(x37981),x37982)
% 204.30/204.30 [3806]P33(x38061,x38062,f117(x38061),f117(x38061))
% 204.30/204.30 [3815]P24(f928(x38151),f928(x38151),f172(x38151),x38152)
% 204.30/204.30 [4223]P25(x42231,x42231,f32(x42231),x42232,x42232)
% 204.30/204.30 [4726]~E(f30(x47261,x47262),a25)
% 204.30/204.30 [4727]~E(f29(x47271,x47272),a25)
% 204.30/204.30 [4752]~P34(x47521,x47522,f117(x47521))
% 204.30/204.30 [4753]~P36(x47531,x47532,f117(x47531))
% 204.30/204.30 [3394]E(f331(f5(x33941),x33942),x33942)
% 204.30/204.30 [3395]E(f331(f266(x33951),x33952),x33952)
% 204.30/204.30 [3397]E(f331(f32(x33971),x33972),x33972)
% 204.30/204.30 [3407]E(f331(f195(x34071),x34072),f119(x34071))
% 204.30/204.30 [3425]E(f85(x34251,f331(a328,x34252)),x34252)
% 204.30/204.30 [3426]E(f90(x34261,f331(a328,x34262)),x34262)
% 204.30/204.30 [3448]E(f331(f129(x34481,x34482),f123(x34481)),f2(a927))
% 204.30/204.30 [3451]E(f331(f140(x34511,x34512),f117(x34511)),f117(x34511))
% 204.30/204.30 [3471]E(f311(x34711,f311(x34711,x34712)),f311(x34711,x34712))
% 204.30/204.30 [3472]E(f156(x34721,f156(x34721,x34722)),f156(x34721,x34722))
% 204.30/204.30 [3490]E(f331(f331(f138(x34901),x34902),f117(x34901)),x34902)
% 204.30/204.30 [3496]E(f177(x34961,x34962,f117(x34961)),x34962)
% 204.30/204.30 [3497]E(f177(x34971,f117(x34971),x34972),x34972)
% 204.30/204.30 [3498]E(f120(x34981,f123(x34981),x34982),x34982)
% 204.30/204.30 [3499]E(f173(x34991,f2(a927),x34992),f117(x34991))
% 204.30/204.30 [3505]E(f331(f331(f179(x35051),x35052),f117(x35051)),f117(x35051))
% 204.30/204.30 [3506]E(f331(f331(f142(x35061),x35062),f117(x35061)),f117(x35061))
% 204.30/204.30 [3508]E(f159(x35081,x35082,f117(x35081)),f2(a927))
% 204.30/204.30 [3510]E(f174(x35101,x35102,f117(x35101)),f117(x35101))
% 204.30/204.30 [3511]E(f181(x35111,x35112,f117(x35111)),f117(x35111))
% 204.30/204.30 [3512]E(f180(x35121,f117(x35121),x35122),f117(x35121))
% 204.30/204.30 [3516]E(f331(f176(x35161),f156(x35161,x35162)),f331(f176(x35161),x35162))
% 204.30/204.30 [3519]E(f331(f288(x35191,x35191),f267(x35191,x35192)),x35192)
% 204.30/204.30 [3520]E(f331(f268(x35201,x35201),f267(x35201,x35202)),x35202)
% 204.30/204.30 [3527]E(f331(f290(x35271,x35271),f267(x35271,x35272)),f267(x35271,x35272))
% 204.30/204.30 [3540]E(f311(f928(x35401),f161(x35401,x35402)),f162(x35401,f311(x35401,x35402)))
% 204.30/204.30 [3542]P107(f331(f141(a1),f182(x35421,x35422)))
% 204.30/204.30 [3550]E(f331(f288(x35501,x35501),f311(x35501,x35502)),f246(f935(x35501,a923)))
% 204.30/204.30 [3551]E(f331(f268(x35511,x35511),f311(x35511,x35512)),f246(f935(x35511,a923)))
% 204.30/204.30 [3555]P107(f331(f141(x35551),f156(x35551,x35552)))
% 204.30/204.30 [3557]P107(f331(f164(x35571,x35572),f117(x35571)))
% 204.30/204.30 [3565]E(f331(f176(a1),f182(x35651,x35652)),f307(a1,x35651,x35652))
% 204.30/204.30 [3579]P56(x35791,f192(f935(x35791,a923)),x35792)
% 204.30/204.30 [3584]E(f331(f260(a1,a1),f46(x35841,x35842)),f45(a1,x35841,x35842))
% 204.30/204.30 [3585]E(f331(f306(a927,x35851),f331(a116,x35852)),f307(a927,x35851,x35852))
% 204.30/204.30 [3601]E(f331(f331(f155(x36011),x36012),f117(x36011)),f144(x36011,x36012,f117(x36011)))
% 204.30/204.30 [3613]E(f307(a927,f331(a116,x36131),x36132),f309(a927,x36131,x36132))
% 204.30/204.30 [3616]P53(x36161,f246(f935(x36161,a923)),f311(x36161,x36162))
% 204.30/204.30 [3679]E(f331(f331(f23(a927),x36791),f331(a116,x36792)),f331(f35(a927),f310(a927,x36792,x36791)))
% 204.30/204.30 [3735]E(f170(x37351,x37352,f117(x37351)),f331(f331(f256(f928(x37351),f928(x37351)),f117(x37351)),f117(x37351)))
% 204.30/204.30 [3753]E(f331(f261(x37531,x37532,f934(x37531,x37532)),f256(x37531,x37532)),f32(f934(x37531,x37532)))
% 204.30/204.30 [3757]P107(f331(f331(f333(f928(x37571)),f117(x37571)),f165(x37571,x37572)))
% 204.30/204.30 [3758]E(f331(f193(f928(x37581)),f118(x37581,x37582)),f331(f331(f23(a927),f331(f193(f928(x37581)),x37582)),f78(a927)))
% 204.30/204.30 [3766]P107(f331(f61(a927),f307(a927,x37661,x37662)))
% 204.30/204.30 [3767]P107(f331(f61(a927),f309(a927,x37671,x37672)))
% 204.30/204.30 [3768]P107(f331(f61(a927),f310(a927,x37681,x37682)))
% 204.30/204.30 [3769]P107(f331(f61(a1),f307(a1,x37691,x37692)))
% 204.30/204.30 [3770]P107(f331(f61(a1),f309(a1,x37701,x37702)))
% 204.30/204.30 [3771]P107(f331(f61(a1),f310(a1,x37711,x37712)))
% 204.30/204.30 [3877]E(f331(f314(a927,a927,a116),f307(a927,x38771,x38772)),f307(a927,f331(a116,x38771),f331(a116,x38772)))
% 204.30/204.30 [3896]E(f331(f331(f293(x38961,x38961,x38961),f311(x38961,x38962)),f311(x38961,x38962)),f311(x38961,x38962))
% 204.30/204.30 [3931]E(f331(f331(f256(a1,a1),f331(f331(f36(a1),x39311),x39312)),f45(a1,x39311,x39312)),f46(x39311,x39312))
% 204.30/204.30 [3932]E(f331(f331(f256(a103,a103),f331(f331(f36(a103),x39321),x39322)),f45(a103,x39321,x39322)),f21(x39321,x39322))
% 204.30/204.30 [3959]E(f331(f331(f256(a927,a927),f331(f331(f36(a927),x39591),x39592)),f45(a927,x39591,x39592)),f85(f934(a927,a927),f48(x39591,x39592)))
% 204.30/204.30 [4011]P107(f331(f331(f240(a927),f331(f331(f23(a927),x40111),x40112)),f331(a116,x40111)))
% 204.30/204.30 [4061]P39(x40611,f331(f331(f293(x40611,x40611,x40611),x40612),f311(x40611,x40612)))
% 204.30/204.30 [4112]E(f331(f331(f80(a1),f331(f331(f81(a1),x41121),f331(f331(f36(a1),x41122),x41121))),f45(a1,x41122,x41121)),x41122)
% 204.30/204.30 [4116]E(f331(f331(f39(a927,f935(f934(f928(x41161),f928(x41161)),a923)),f246(f935(a927,a923))),f147(x41161,x41162)),f149(x41161,x41162))
% 204.30/204.30 [4341]P107(f331(f331(f333(f934(f928(x43411),f928(x43411))),f331(f331(f256(f928(x43411),f928(x43411)),f117(x43411)),f117(x43411))),f162(x43411,x43412)))
% 204.30/204.30 [4451]E(f257(x44511,x44511,x44511,a328,f257(x44511,x44511,x44511,x44512,a328)),x44512)
% 204.30/204.30 [4495]E(f262(x44951,x44951,x44952,x44952,f5(x44951),f5(x44952)),f32(f934(x44951,x44952)))
% 204.30/204.30 [4497]E(f262(x44971,x44971,x44972,x44972,f32(x44971),f32(x44972)),f32(f934(x44971,x44972)))
% 204.30/204.30 [3489]E(f331(f172(x34891),f331(f172(x34891),x34892)),x34892)
% 204.30/204.30 [3491]E(f331(f331(f142(x34911),f2(a927)),x34912),x34912)
% 204.30/204.30 [3507]E(f331(f331(f179(x35071),f2(a927)),x35072),f117(x35071))
% 204.30/204.30 [3514]E(f331(f331(f138(x35141),f117(x35141)),x35142),x35142)
% 204.30/204.30 [3523]E(f37(f935(x35231,a923),f331(f312(x35231),x35232)),x35232)
% 204.30/204.30 [3525]E(f331(f176(x35251),f331(f171(x35251),x35252)),f331(f176(x35251),x35252))
% 204.30/204.30 [3526]E(f331(f176(x35261),f331(f172(x35261),x35262)),f331(f176(x35261),x35262))
% 204.30/204.30 [3531]E(f331(f331(f23(a103),x35311),x35312),f331(f331(a24,x35311),x35312))
% 204.30/204.30 [3544]E(f331(f331(f81(a927),x35441),x35442),f331(f331(f81(a927),x35442),x35441))
% 204.30/204.30 [3545]E(f331(f331(f81(a1),x35451),x35452),f331(f331(f81(a1),x35452),x35451))
% 204.30/204.30 [3546]E(f331(f331(f80(a927),x35461),x35462),f331(f331(f80(a927),x35462),x35461))
% 204.30/204.30 [3547]E(f331(f331(f80(a1),x35471),x35472),f331(f331(f80(a1),x35472),x35471))
% 204.30/204.30 [3571]E(f331(f331(f187(x35711,x35711),f2(a927)),x35712),f32(x35711))
% 204.30/204.30 [3572]E(f331(f193(f928(x35721)),f331(f171(x35721),x35722)),f331(f193(f928(x35721)),x35722))
% 204.30/204.30 [3573]E(f331(f193(f928(x35731)),f331(f172(x35731),x35732)),f331(f193(f928(x35731)),x35732))
% 204.30/204.30 [3574]E(f180(x35741,x35742,f192(f935(a927,a923))),f117(x35741))
% 204.30/204.30 [3575]E(f331(f331(f158(x35751,x35751),f5(x35751)),x35752),x35752)
% 204.30/204.30 [3577]E(f331(f255(a1,a1),f46(x35771,x35772)),f331(f331(f36(a1),x35771),x35772))
% 204.30/204.30 [3594]E(f331(f193(f928(x35941)),f156(x35941,x35942)),f331(f35(x35941),f331(f176(x35941),x35942)))
% 204.30/204.30 [3595]E(f28(f29(x35951,x35952)),f331(f331(f80(a927),f28(x35952)),f331(a116,f2(a927))))
% 204.30/204.30 [3596]E(f331(f285(x35961),f331(f290(x35961,x35961),x35962)),f331(f285(x35961),x35962))
% 204.30/204.30 [3600]P107(f331(f61(x36001),f331(f176(x36001),x36002)))
% 204.30/204.30 [3608]E(f331(f331(f80(a1),x36081),f331(f79(a1),x36082)),f331(f331(f23(a1),x36081),x36082))
% 204.30/204.30 [3615]P23(x36151,x36152,f192(f935(f926(x36151),a923)))
% 204.30/204.30 [3617]E(f331(f314(x36171,x36171,f5(x36171)),x36172),x36172)
% 204.30/204.30 [3618]E(f331(f314(x36181,x36181,f32(x36181)),x36182),x36182)
% 204.30/204.30 [3619]E(f331(f315(x36191,x36191,f5(x36191)),x36192),x36192)
% 204.30/204.30 [3620]E(f331(f315(x36201,x36201,f32(x36201)),x36202),x36202)
% 204.30/204.30 [3621]P107(f331(f246(f935(x36211,a923)),x36212))
% 204.30/204.30 [3623]E(f331(f35(a927),f331(f306(a927,x36231),x36232)),f331(f331(f23(a927),x36232),x36231))
% 204.30/204.30 [3624]E(f331(f306(a927,f331(a116,x36241)),x36242),f310(a927,x36241,x36242))
% 204.30/204.30 [3637]E(f331(f331(f313(x36371),x36372),f192(f935(x36371,a923))),f331(f266(x36371),f331(a328,x36372)))
% 204.30/204.30 [3642]E(f311(x36421,f331(f290(x36421,x36421),x36422)),f331(f290(x36421,x36421),f311(x36421,x36422)))
% 204.30/204.30 [3647]E(f331(f331(f80(a927),f331(a116,x36471)),x36472),f331(f331(f80(a927),x36471),f331(a116,x36472)))
% 204.30/204.30 [3648]E(f331(f331(f23(a927),f331(a116,x36481)),f331(a116,x36482)),f331(f331(f23(a927),x36481),x36482))
% 204.30/204.30 [3654]E(f55(x36541,f2(a927),x36542),f331(f331(f155(f928(x36541)),f117(x36541)),f117(f928(x36541))))
% 204.30/204.30 [3655]E(f331(f35(a927),f309(a927,x36551,x36552)),f331(f331(f23(a927),x36552),x36551))
% 204.30/204.30 [3664]P38(x36641,f331(f331(f292(a927,x36641),a244),x36642))
% 204.30/204.30 [3666]P12(a927,f143(a927,f331(f306(a927,x36661),x36662)))
% 204.30/204.30 [3668]P107(f331(f61(a927),f331(f306(a927,x36681),x36682)))
% 204.30/204.30 [3669]P107(f331(f61(a1),f331(f306(a1,x36691),x36692)))
% 204.30/204.30 [3672]E(f331(f290(f928(x36721),f928(x36721)),f161(x36721,x36722)),f161(x36721,f331(f290(x36721,x36721),x36722)))
% 204.30/204.30 [3673]E(f331(f193(a925),f29(x36731,x36732)),f331(f331(f80(a927),f331(f193(a925),x36732)),f331(a116,f2(a927))))
% 204.30/204.30 [3675]E(f331(f306(a1,x36751),f331(f331(f80(a1),x36752),f78(a1))),f307(a1,x36751,x36752))
% 204.30/204.30 [3678]E(f331(f331(f36(a1),f331(f79(a1),x36781)),f331(f79(a1),x36782)),f331(f331(f36(a1),x36781),x36782))
% 204.30/204.30 [3686]E(f331(f331(f187(f934(x36861,x36861),a923),f78(a927)),x36862),x36862)
% 204.30/204.30 [3688]E(f331(f331(f114(f935(x36881,a923)),x36882),f192(f935(x36881,a923))),x36882)
% 204.30/204.30 [3689]E(f331(f331(f23(f935(x36891,a923)),x36892),f192(f935(x36891,a923))),x36892)
% 204.30/204.30 [3690]E(f331(f331(f105(f935(x36901,a923)),x36902),f246(f935(x36901,a923))),x36902)
% 204.30/204.30 [3691]E(f331(f255(a927,a927),f85(f934(a927,a927),f48(x36911,x36912))),f331(f331(f36(a927),x36911),x36912))
% 204.30/204.30 [3698]E(f307(a1,f331(f331(f80(a1),x36981),f78(a1)),x36982),f309(a1,x36981,x36982))
% 204.30/204.30 [3703]E(f331(f260(a927,a927),f85(f934(a927,a927),f48(x37031,x37032))),f45(a927,x37031,x37032))
% 204.30/204.30 [3713]P107(f331(f331(f333(x37131),x37132),f246(f935(x37131,a923))))
% 204.30/204.30 [3718]E(f331(f331(f23(a927),f331(a116,x37181)),x37182),f331(f35(a927),f307(a927,x37182,x37181)))
% 204.30/204.30 [3744]E(f331(f331(f114(f935(x37441,a923)),x37442),f246(f935(x37441,a923))),f246(f935(x37441,a923)))
% 204.30/204.30 [3745]E(f331(f331(f23(f935(x37451,a923)),x37452),f246(f935(x37451,a923))),f192(f935(x37451,a923)))
% 204.30/204.30 [3746]E(f331(f331(f105(f935(x37461,a923)),x37462),f192(f935(x37461,a923))),f192(f935(x37461,a923)))
% 204.30/204.30 [3761]E(f45(a1,f331(f104(a1),x37611),f331(f104(a1),x37612)),f331(f104(a1),f45(a927,x37611,x37612)))
% 204.30/204.30 [3762]E(f45(a1,f331(f79(a1),x37621),f331(f79(a1),x37622)),f331(f79(a1),f45(a1,x37621,x37622)))
% 204.30/204.30 [3773]E(f331(f193(f928(x37731)),f331(f175(x37731),x37732)),f331(f331(f23(a927),f331(f193(f928(x37731)),x37732)),f78(a927)))
% 204.30/204.30 [3799]E(f331(f331(f36(a1),f45(a1,x37991,x37992)),x37992),f2(a1))
% 204.30/204.30 [3808]E(f331(a3,f45(a927,f331(a20,x38081),f331(a20,x38082))),f45(a103,x38081,x38082))
% 204.30/204.30 [3843]E(f331(a3,f331(f331(f23(a927),f331(a20,x38431)),f331(a20,x38432))),f331(f331(f23(a103),x38431),x38432))
% 204.30/204.30 [3844]E(f331(a3,f331(f331(f81(a927),f331(a20,x38441)),f331(a20,x38442))),f331(f331(f81(a103),x38441),x38442))
% 204.30/204.30 [3845]E(f331(a3,f331(f331(f80(a927),f331(a20,x38451)),f331(a20,x38452))),f331(f331(f80(a103),x38451),x38452))
% 204.30/204.30 [3846]E(f331(a3,f331(f331(f36(a927),f331(a20,x38461)),f331(a20,x38462))),f331(f331(f36(a103),x38461),x38462))
% 204.30/204.30 [3855]E(f331(f314(a927,a927,a116),f331(f306(a927,x38551),x38552)),f331(f306(a927,f331(a116,x38551)),f331(a116,x38552)))
% 204.30/204.30 [3882]P107(f331(f48(x38821,x38822),f85(f934(a927,a927),f48(x38821,x38822))))
% 204.30/204.30 [3905]E(f331(f331(f80(a927),f331(f331(f80(a927),f28(x39051)),f28(x39052))),f331(a116,f2(a927))),f28(f30(x39051,x39052)))
% 204.30/204.30 [3906]E(f45(a927,f331(a116,f45(a927,x39061,x39062)),x39062),f45(a927,f331(a116,x39061),x39062))
% 204.30/204.30 [3918]E(f331(f331(f39(f935(x39181,a923),f935(x39181,a923)),x39182),f5(f935(x39181,a923))),f37(f935(x39181,a923),x39182))
% 204.30/204.30 [3919]E(f331(f331(f40(f935(x39191,a923),f935(x39191,a923)),x39192),f5(f935(x39191,a923))),f38(f935(x39191,a923),x39192))
% 204.30/204.30 [3920]E(f331(f314(f928(x39201),f935(x39201,a923),f176(x39201)),f331(f176(f928(x39201)),f54(x39201,x39202))),f331(f312(x39201),f331(f176(x39201),x39202)))
% 204.30/204.30 [3924]P107(f331(f331(f333(f935(x39241,a923)),x39242),f331(f312(x39241),x39242)))
% 204.30/204.30 [3930]E(f45(a1,f331(f79(a1),f45(a1,x39301,x39302)),x39302),f45(a1,f331(f79(a1),x39301),x39302))
% 204.30/204.30 [3941]P107(f331(f331(f239(f935(x39411,a923)),x39412),f246(f935(x39411,a923))))
% 204.30/204.30 [3943]E(f331(f331(f293(x39431,x39431,x39431),f311(x39431,x39432)),f311(x39431,f311(x39431,x39432))),f311(x39431,x39432))
% 204.30/204.30 [3944]E(f331(f331(f114(f935(x39441,a923)),f331(f268(x39441,x39441),x39442)),f331(f288(x39441,x39441),x39442)),f331(f285(x39441),x39442))
% 204.30/204.30 [3965]E(f317(x39651,x39652,f246(f935(x39651,a923)),f246(f935(x39652,a923))),f246(f935(f933(x39651,x39652),a923)))
% 204.30/204.30 [4016]P107(f331(f331(f239(a927),f45(a927,x40161,x40162)),x40161))
% 204.30/204.30 [4040]P107(f331(f331(f239(a1),f331(f79(a1),f331(f104(a1),x40401))),f331(f104(a1),x40402)))
% 204.30/204.30 [4066]P107(f331(f331(f333(f935(x40661,a923)),f192(f935(x40661,a923))),f331(f312(x40661),x40662)))
% 204.30/204.30 [4071]E(f311(x40711,f331(f331(f293(x40711,x40711,x40711),x40712),f311(x40711,x40712))),f311(x40711,x40712))
% 204.30/204.30 [4074]E(f331(f331(f293(x40741,x40741,x40741),f311(x40741,x40742)),x40742),f331(f331(f293(x40741,x40741,x40741),x40742),f311(x40741,x40742)))
% 204.30/204.30 [4076]E(f331(a108,f331(f331(f80(a1),f331(f331(f23(a1),x40761),x40762)),f78(a1))),f331(f35(a1),f307(a1,x40762,x40761)))
% 204.30/204.30 [4091]E(f331(f288(x40911,x40911),f331(f331(f293(x40911,x40911,x40911),x40912),f311(x40911,x40912))),f331(f288(x40911,x40911),x40912))
% 204.30/204.30 [4092]E(f331(f268(x40921,x40921),f331(f331(f293(x40921,x40921,x40921),x40922),f311(x40921,x40922))),f331(f268(x40921,x40921),x40922))
% 204.30/204.30 [4108]E(f331(f331(f80(a927),f331(f331(f80(a927),f331(f193(a925),x41081)),f331(f193(a925),x41082))),f331(a116,f2(a927))),f331(f193(a925),f30(x41081,x41082)))
% 204.30/204.30 [4111]E(f331(f146(f928(x41111),f928(x41111),f138(x41111),f117(x41111)),f173(f928(x41111),x41112,f117(x41111))),f117(x41111))
% 204.30/204.30 [4120]P24(a927,a927,f331(f331(f7(a927,a927,a927),f80(a927)),x41201),x41202)
% 204.30/204.30 [4122]P12(a927,f331(f172(a927),f331(f331(f158(f928(x41221),a927),f193(f928(x41221))),f183(x41221,x41222))))
% 204.30/204.30 [4153]P52(x41531,f331(f331(f114(f935(f934(x41531,x41531),a923)),x41532),f331(f290(x41531,x41531),x41532)))
% 204.30/204.30 [4154]P52(x41541,f331(f331(f105(f935(f934(x41541,x41541),a923)),x41542),f331(f290(x41541,x41541),x41542)))
% 204.30/204.30 [4165]P107(f331(f331(f240(a1),f331(f79(a1),f331(f104(a1),f331(a116,x41651)))),f331(f104(a1),x41652)))
% 204.30/204.30 [4212]E(f331(f146(f928(x42121),x42121,f331(f7(x42121,f928(x42121),f928(x42121)),f155(x42121)),f117(x42121)),x42122),f331(f172(x42121),x42122))
% 204.30/204.30 [4262]P107(f331(f331(f239(f935(f934(f928(x42621),f928(x42621)),a923)),f162(x42621,x42622)),f311(f928(x42621),f161(x42621,x42622))))
% 204.30/204.30 [4291]P107(f331(f48(x42911,x42912),f331(f331(f256(a927,a927),f331(f331(f36(a927),x42911),x42912)),f45(a927,x42911,x42912))))
% 204.30/204.30 [4303]P107(f331(f331(f239(f935(f934(f928(x43031),f928(x43031)),a923)),f161(x43031,f311(x43031,x43032))),f311(f928(x43031),f161(x43031,x43032))))
% 204.30/204.30 [4520]E(f331(f331(f263(f934(a103,a103),a103,f934(a103,a103),f934(x45201,f934(a103,a103))),f271(f331(f169(a103),f331(f331(f158(f934(a103,x45201),a103),f255(a103,x45201)),x45202)))),f331(f331(f8(x45201,f935(f934(a103,a103),f934(x45201,f934(a103,a103))),a103),f256(x45201,f934(a103,a103))),f272(x45201,x45202))),f270(x45201,x45202))
% 204.30/204.30 [4597]E(f228(a927,f934(x45971,f929(x45971)),f2(a927),f331(f261(x45971,f929(x45971),a927),f331(f16(f935(f929(x45971),a927),x45971),f331(f331(f7(f929(x45971),a927,a927),f331(f331(f8(a927,f935(a927,a927),f929(x45971)),f80(a927)),f193(f929(x45971)))),f78(a927)))),f331(f139(x45971),x45972)),f331(f193(f929(x45971)),x45972))
% 204.30/204.30 [4704]E(f331(f261(f935(f934(x47041,x47041),a923),f935(f934(x47041,x47041),a923),f935(f935(x47042,x47041),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f331(f331(f7(f935(f934(x47041,x47041),a923),f935(f935(f934(x47041,x47041),a923),f935(f935(x47042,x47041),f935(f934(x47042,x47042),a923))),f935(f935(f934(x47041,x47041),a923),f935(f935(x47042,x47041),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923))))),f331(f331(f8(f935(f935(f935(x47042,x47041),f935(f934(x47042,x47042),a923)),f935(f935(x47042,x47041),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f935(f935(f935(f934(x47041,x47041),a923),f935(f935(x47042,x47041),f935(f934(x47042,x47042),a923))),f935(f935(f934(x47041,x47041),a923),f935(f935(x47042,x47041),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923))))),f935(f934(x47041,x47041),a923)),f8(f935(f935(x47042,x47041),f935(f934(x47042,x47042),a923)),f935(f935(x47042,x47041),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923))),f935(f934(x47041,x47041),a923))),f331(f331(f8(f935(f935(x47042,x47041),f935(f935(f934(x47042,x47042),a923),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f935(f935(f935(x47042,x47041),f935(f934(x47042,x47042),a923)),f935(f935(x47042,x47041),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f935(f934(x47041,x47041),a923)),f18(f935(x47042,x47041),f935(f934(x47042,x47042),a923),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f331(f331(f8(f935(f935(x47042,x47041),f935(f934(x47042,x47042),a923)),f935(f935(x47042,x47041),f935(f935(f934(x47042,x47042),a923),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f935(f934(x47041,x47041),a923)),f331(f8(f935(f934(x47042,x47042),a923),f935(f935(f934(x47042,x47042),a923),f934(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923))),f935(x47042,x47041)),f256(f935(f934(x47042,x47042),a923),f935(f934(x47042,x47042),a923)))),f292(x47041,x47042))))),f292(x47041,x47042))),f74(x47041,x47042))
% 204.30/204.30 [4772]~E(f331(f312(x47721),x47722),f192(f935(f935(x47721,a923),a923)))
% 204.30/204.30 [4783]~P107(f331(f331(f176(x47831),f117(x47831)),x47832))
% 204.30/204.30 [4787]~P107(f331(f331(f333(x47871),x47872),f192(f935(x47871,a923))))
% 204.30/204.30 [4795]~P107(f331(f331(f240(f935(x47951,a923)),x47952),f192(f935(x47951,a923))))
% 204.30/204.30 [3626]E(f331(f331(f23(a927),x36261),f331(f331(f80(a927),x36261),x36262)),f2(a927))
% 204.30/204.30 [3629]E(f331(f331(f114(f935(x36291,a923)),x36292),x36292),x36292)
% 204.30/204.30 [3630]E(f331(f331(f105(f935(x36301,a923)),x36302),x36302),x36302)
% 204.30/204.30 [3658]E(f331(f331(f23(f935(x36581,a923)),x36582),x36582),f192(f935(x36581,a923)))
% 204.30/204.30 [3661]E(f331(f147(x36611,x36612),f2(a927)),f192(f935(f934(f928(x36611),f928(x36611)),a923)))
% 204.30/204.30 [3662]E(f331(f331(f80(a927),x36621),f331(a116,x36622)),f331(a116,f331(f331(f80(a927),x36621),x36622)))
% 204.30/204.30 [3674]E(f199(f331(f104(a1),x36741),f331(f104(a1),x36742)),f331(f104(a1),f331(f331(f23(a927),x36741),x36742)))
% 204.30/204.30 [3677]E(f331(f331(f36(a1),f331(f79(a1),x36771)),x36772),f331(f331(f36(a1),x36771),f331(f79(a1),x36772)))
% 204.30/204.30 [3681]E(f331(f35(a1),f331(f306(a1,x36811),x36812)),f331(a108,f331(f331(f23(a1),x36812),x36811)))
% 204.30/204.30 [3684]E(f331(f331(f80(a927),f331(a116,x36841)),x36842),f331(a116,f331(f331(f80(a927),x36841),x36842)))
% 204.30/204.30 [3687]E(f331(f79(f935(x36871,a923)),f331(f79(f935(x36871,a923)),x36872)),x36872)
% 204.30/204.30 [3700]E(f183(x37001,f331(f331(f155(f928(x37001)),f117(x37001)),x37002)),f183(x37001,x37002))
% 204.30/204.30 [3704]E(f331(f331(f80(a927),x37041),f331(f331(f81(a927),x37041),x37042)),f331(f331(f81(a927),x37041),f331(a116,x37042)))
% 204.30/204.30 [3711]E(f331(f331(a24,f331(a3,x37111)),f331(a3,x37112)),f331(a3,f331(f331(f23(a927),x37111),x37112)))
% 204.30/204.30 [3726]E(f331(f331(f81(a1),f331(f79(a1),x37261)),x37262),f331(f79(a1),f331(f331(f81(a1),x37261),x37262)))
% 204.30/204.30 [3728]E(f331(f331(f248(a1),f331(f104(a1),x37281)),x37282),f331(f104(a1),f331(f331(f248(a927),x37281),x37282)))
% 204.30/204.30 [3729]E(f331(f331(f81(a103),f331(a3,x37291)),f331(a3,x37292)),f331(a3,f331(f331(f81(a927),x37291),x37292)))
% 204.30/204.30 [3730]E(f331(f331(f80(a103),f331(a3,x37301)),f331(a3,x37302)),f331(a3,f331(f331(f80(a927),x37301),x37302)))
% 204.30/204.30 [3731]E(f331(f331(f237(a927),f331(a116,x37311)),f331(a116,x37312)),f331(a116,f331(f331(f237(a927),x37311),x37312)))
% 204.30/204.30 [3732]E(f331(f331(f238(a927),f331(a116,x37321)),f331(a116,x37322)),f331(a116,f331(f331(f238(a927),x37321),x37322)))
% 204.30/204.30 [3737]E(f331(f176(a927),f143(a927,f331(f306(a927,x37371),x37372))),f331(f306(a927,x37371),x37372))
% 204.30/204.30 [3738]E(f316(x37381,f331(f331(f313(x37381),x37382),f192(f935(x37381,a923)))),x37382)
% 204.30/204.30 [3742]E(f331(f288(x37421,x37422),f192(f935(f934(x37421,x37422),a923))),f192(f935(x37422,a923)))
% 204.30/204.30 [3743]E(f331(f268(x37431,x37432),f192(f935(f934(x37431,x37432),a923))),f192(f935(x37431,a923)))
% 204.30/204.30 [3747]E(f331(a108,f331(f331(f23(a1),x37471),x37472)),f331(f35(a1),f309(a1,x37472,x37471)))
% 204.30/204.30 [3752]E(f331(f331(f80(a927),x37521),f331(f331(f81(a927),x37522),x37521)),f331(f331(f81(a927),f331(a116,x37522)),x37521))
% 204.30/204.30 [3754]E(f331(f331(f60(x37541),f192(f935(x37541,a923))),x37542),f192(f935(f935(x37541,a923),a923)))
% 204.30/204.30 [3763]E(f331(f193(f928(a927)),f143(a927,f331(f306(a927,x37631),x37632))),f331(f331(f23(a927),x37632),x37631))
% 204.30/204.30 [3778]E(f331(f331(f114(f935(x37781,a923)),f192(f935(x37781,a923))),x37782),x37782)
% 204.30/204.30 [3779]E(f331(f331(f105(f935(x37791,a923)),f246(f935(x37791,a923))),x37792),x37792)
% 204.30/204.30 [3782]E(f331(f331(f80(a1),f331(f79(a1),x37821)),f331(f79(a1),x37822)),f331(f79(a1),f331(f331(f80(a1),x37821),x37822)))
% 204.30/204.30 [3785]E(f331(f331(f81(a1),f331(f104(a1),x37851)),f331(f104(a1),x37852)),f331(f104(a1),f331(f331(f81(a927),x37851),x37852)))
% 204.30/204.30 [3786]E(f331(f331(f81(a1),f331(f107(a1),x37861)),f331(f107(a1),x37862)),f331(f107(a1),f331(f331(f81(a1),x37861),x37862)))
% 204.30/204.30 [3788]E(f331(f331(f80(a1),f331(f104(a1),x37881)),f331(f104(a1),x37882)),f331(f104(a1),f331(f331(f80(a927),x37881),x37882)))
% 204.30/204.30 [3789]E(f331(f331(f80(a1),f331(f107(a1),x37891)),f331(f107(a1),x37892)),f331(f107(a1),f331(f331(f80(a1),x37891),x37892)))
% 204.30/204.30 [3790]E(f331(f331(f36(a1),f331(f104(a1),x37901)),f331(f104(a1),x37902)),f331(f104(a1),f331(f331(f36(a927),x37901),x37902)))
% 204.30/204.30 [3809]E(f331(f331(f6(x38091,a927),f331(f16(a927,x38091),f78(a927))),x38092),f331(f35(x38091),x38092))
% 204.30/204.30 [3816]E(f331(f79(a1),f45(a1,f331(f79(a1),x38161),x38162)),f45(a1,x38161,f331(f79(a1),x38162)))
% 204.30/204.30 [3818]E(f331(f176(a1),f182(x38181,f331(f331(f23(a1),x38182),f78(a1)))),f331(f306(a1,x38181),x38182))
% 204.30/204.30 [3823]P107(f331(f331(f239(a927),x38231),f331(f331(f80(a927),x38232),x38231)))
% 204.30/204.30 [3824]P107(f331(f331(f239(a927),x38241),f331(f331(f80(a927),x38241),x38242)))
% 204.30/204.30 [3826]E(f331(f331(f114(f935(x38261,a923)),f246(f935(x38261,a923))),x38262),f246(f935(x38261,a923)))
% 204.30/204.30 [3827]E(f331(f331(f23(f935(x38271,a923)),f192(f935(x38271,a923))),x38272),f192(f935(x38271,a923)))
% 204.30/204.30 [3828]E(f331(f331(f105(f935(x38281,a923)),f192(f935(x38281,a923))),x38282),f192(f935(x38281,a923)))
% 204.30/204.30 [3835]E(f331(f331(f256(a1,a1),x38351),f331(f79(a1),x38352)),f331(a51,f331(f331(f256(a1,a1),x38351),x38352)))
% 204.30/204.30 [3836]E(f331(f306(a1,f331(f331(f80(a1),x38361),f78(a1))),x38362),f310(a1,x38361,x38362))
% 204.30/204.30 [3847]E(f331(f331(f81(a927),x38471),f331(f331(f36(a927),x38472),x38471)),f331(f331(f23(a927),x38472),f45(a927,x38472,x38471)))
% 204.30/204.30 [3848]E(f331(f331(f81(a1),x38481),f331(f331(f36(a1),x38482),x38481)),f331(f331(f23(a1),x38482),f45(a1,x38482,x38481)))
% 204.30/204.30 [3852]E(f331(f176(a1),f182(f331(f331(f80(a1),x38521),f78(a1)),x38522)),f309(a1,x38521,x38522))
% 204.30/204.30 [3856]P107(f331(f331(f239(f935(x38561,a923)),x38562),x38562))
% 204.30/204.30 [3859]E(f331(f331(f114(f935(x38591,a923)),x38592),f331(f79(f935(x38591,a923)),x38592)),f246(f935(x38591,a923)))
% 204.30/204.30 [3860]E(f331(f331(f105(f935(x38601,a923)),x38602),f331(f79(f935(x38601,a923)),x38602)),f192(f935(x38601,a923)))
% 204.30/204.30 [3868]E(f331(f331(f23(a927),f331(f331(f23(a927),x38681),f78(a927))),x38682),f331(f331(f23(a927),x38681),f331(a116,x38682)))
% 204.30/204.30 [3874]E(f331(f331(f23(f935(x38741,a923)),f246(f935(x38741,a923))),x38742),f331(f79(f935(x38741,a923)),x38742))
% 204.30/204.30 [3875]E(f331(f331(f23(a1),f331(f107(a1),x38751)),f331(f107(a1),x38752)),f331(f107(a1),f331(f331(f80(a1),x38751),f331(f79(a1),x38752))))
% 204.30/204.30 [3888]E(f331(f176(a927),f143(a927,f331(f306(a927,x38881),f331(a116,x38882)))),f307(a927,x38881,x38882))
% 204.30/204.30 [3903]E(f331(f193(f928(f928(x39031))),f54(x39031,x39032)),f331(f331(f248(a927),f331(a116,f331(a116,f2(a927)))),f331(f193(f928(x39031)),x39032)))
% 204.30/204.30 [3922]E(f331(f331(f187(f934(x39221,x39221),a923),f2(a927)),x39222),f311(x39221,f192(f935(f934(x39221,x39221),a923))))
% 204.30/204.30 [3926]P107(f331(f141(a927),f143(a927,f331(f306(a927,x39261),x39262))))
% 204.30/204.30 [3942]E(f331(f314(a1,a927,a108),f307(a1,f331(f104(a1),x39421),f331(f104(a1),x39422))),f307(a927,x39421,x39422))
% 204.30/204.30 [3951]E(f189(a927,f2(a927),f5(a927),f331(f331(f23(a927),x39511),x39512)),f331(f331(f23(a927),x39511),f331(a116,x39512)))
% 204.30/204.30 [3952]E(f331(a108,f331(f331(f23(a1),x39521),f331(f331(f80(a1),x39522),f78(a1)))),f331(f35(a1),f310(a1,x39522,x39521)))
% 204.30/204.30 [3988]E(f331(f331(f158(a927,a927),a116),f143(a927,f331(f306(a927,x39881),x39882))),f143(a927,f331(f306(a927,f331(a116,x39881)),f331(a116,x39882))))
% 204.30/204.30 [3996]E(f331(f176(a1),f182(f331(f331(f80(a1),x39961),f78(a1)),f331(f331(f23(a1),x39962),f78(a1)))),f310(a1,x39961,x39962))
% 204.30/204.30 [4008]P107(f331(f331(f239(f935(x40081,a923)),f192(f935(x40081,a923))),x40082))
% 204.30/204.30 [4012]E(f85(x40121,f331(f331(f7(x40121,x40121,a923),a328),x40122)),x40122)
% 204.30/204.30 [4013]E(f90(x40131,f331(f331(f7(x40131,x40131,a923),a328),x40132)),x40132)
% 204.30/204.30 [4017]E(f331(f176(a927),f143(a927,f331(f306(a927,f331(a116,x40171)),f331(a116,x40172)))),f309(a927,x40171,x40172))
% 204.30/204.30 [4043]E(f331(f331(f258(x40431,x40432),f246(f935(x40431,a923))),f331(f16(f935(x40432,a923),x40431),f246(f935(x40432,a923)))),f246(f935(f934(x40431,x40432),a923)))
% 204.30/204.30 [4078]E(f331(f266(x40781),f331(f331(f8(a923,a923,x40781),a326),x40782)),f331(f79(f935(x40781,a923)),f331(f266(x40781),x40782)))
% 204.30/204.30 [4081]E(f331(f266(x40811),f331(f331(f7(x40811,x40811,a923),a328),x40812)),f331(f331(f313(x40811),x40812),f192(f935(x40811,a923))))
% 204.30/204.30 [4088]E(f331(f331(f80(a1),f331(f331(f23(a1),x40881),x40882)),f331(f331(f23(a1),x40881),x40882)),f331(f331(f23(a1),f331(f331(f80(a1),x40881),x40881)),f331(f331(f80(a1),x40882),x40882)))
% 204.30/204.30 [4089]E(f331(f331(f80(a1),f331(f331(f80(a1),x40891),x40891)),f331(f331(f80(a1),x40892),x40892)),f331(f331(f80(a1),f331(f331(f80(a1),x40891),x40892)),f331(f331(f80(a1),x40891),x40892)))
% 204.30/204.30 [4105]P107(f331(f331(f239(a927),f331(f35(x41051),f331(f176(x41051),x41052))),f331(f193(f928(x41051)),x41052)))
% 204.30/204.30 [4106]P107(f331(f331(f239(a927),f331(f193(f928(x41061)),f156(x41061,x41062))),f331(f193(f928(x41061)),x41062)))
% 204.30/204.30 [4117]E(f331(f266(x41171),f331(f331(f7(x41171,f935(x41171,a923),a923),f333(x41171)),x41172)),x41172)
% 204.30/204.30 [4131]E(f331(f331(f179(x41311),f331(f331(f23(a927),f331(f193(f928(x41311)),x41312)),f78(a927))),x41312),f118(x41311,x41312))
% 204.30/204.30 [4152]E(f189(a927,f2(a927),f331(f331(f8(a927,a927,a927),a116),f331(f237(a927),x41521)),x41522),f331(f331(f237(a927),f331(a116,x41521)),x41522))
% 204.30/204.30 [4157]E(f37(f935(x41571,a923),f331(f314(f935(f934(x41571,x41571),a923),f935(x41571,a923),f285(x41571)),x41572)),f331(f285(x41571),f37(f935(f934(x41571,x41571),a923),x41572)))
% 204.30/204.30 [4158]E(f189(a927,f331(a116,x41581),f331(f331(f8(a927,a927,a927),a116),f331(f238(a927),x41581)),x41582),f331(f331(f238(a927),f331(a116,x41581)),x41582))
% 204.30/204.30 [4160]E(f331(f331(f256(a1,a1),f331(f331(f36(a1),f331(f76(a1),x41601)),f331(f76(a1),x41602))),f45(a1,f331(f76(a1),x41601),f331(f76(a1),x41602))),f53(x41601,x41602))
% 204.30/204.30 [4183]P107(f331(f331(f239(f935(f935(x41831,a923),a923)),x41832),f331(f312(x41831),f37(f935(x41831,a923),x41832))))
% 204.30/204.30 [4217]E(f331(f331(f39(x42171,f935(x42171,a923)),x42172),f331(f331(f7(x42171,f935(x42171,a923),f935(x42171,a923)),f313(x42171)),f192(f935(x42171,a923)))),x42172)
% 204.30/204.30 [4218]E(f331(f331(f293(x42181,x42181,x42181),f331(f290(x42181,x42181),x42182)),f311(x42181,f331(f290(x42181,x42181),x42182))),f331(f290(x42181,x42181),f331(f331(f293(x42181,x42181,x42181),x42182),f311(x42181,x42182))))
% 204.30/204.30 [4283]E(f331(f176(x42831),f331(f146(f928(x42831),f928(x42831),f138(x42831),f117(x42831)),x42832)),f331(f331(f39(f928(x42831),f935(x42831,a923)),f331(f176(f928(x42831)),x42832)),f176(x42831)))
% 204.30/204.30 [4314]E(f331(f331(f114(f935(f934(x43141,x43141),a923)),f311(x43141,f192(f935(f934(x43141,x43141),a923)))),f331(f331(f293(x43141,x43141,x43141),f311(x43141,x43142)),x43142)),f311(x43141,x43142))
% 204.30/204.30 [4350]E(f331(f331(f185(x43501,x43501),x43502),x43502),f331(f331(f158(x43501,f934(x43501,x43501)),f331(f331(f18(x43501,x43501,f934(x43501,x43501)),f256(x43501,x43501)),f5(x43501))),x43502))
% 204.30/204.30 [4462]E(f331(f146(a927,f928(x44621),f331(f7(f928(x44621),a927,a927),f331(f331(f8(a927,f935(a927,a927),f928(x44621)),f238(a927)),f193(f928(x44621)))),f2(a927)),f331(f172(f928(x44621)),x44622)),f331(f193(f928(f928(x44621))),f183(x44621,x44622)))
% 204.30/204.30 [4534]E(f331(f331(f292(f934(a927,f928(x45341)),f928(x45341)),f323(a927,f928(x45341),a244,f149(x45341,x45342))),f331(f331(f18(f928(x45341),f928(x45341),f934(a927,f928(x45341))),f331(f331(f8(a927,f935(f928(x45341),f934(a927,f928(x45341))),f928(x45341)),f256(a927,f928(x45341))),f193(f928(x45341)))),f5(f928(x45341)))),f150(x45341,x45342))
% 204.30/204.30 [4661]E(f331(f266(x46611),f331(f331(f8(f935(f935(x46611,a923),a923),a923,x46611),f87(f935(x46611,a923))),f331(f331(f8(f935(f935(x46611,a923),a923),f935(f935(x46611,a923),a923),x46611),f331(f18(f935(x46611,a923),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x46611,a923)),a329),f331(f331(f7(f935(x46611,a923),f935(f935(x46611,a923),a923),a923),f333(f935(x46611,a923))),x46612)))),f333(x46611)))),f37(f935(x46611,a923),x46612))
% 204.30/204.30 [4662]E(f331(f266(x46621),f331(f331(f8(f935(f935(x46621,a923),a923),a923,x46621),f88(f935(x46621,a923))),f331(f331(f8(f935(f935(x46621,a923),a923),f935(f935(x46621,a923),a923),x46621),f331(f18(f935(x46621,a923),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x46621,a923)),a334),f331(f331(f7(f935(x46621,a923),f935(f935(x46621,a923),a923),a923),f333(f935(x46621,a923))),x46622)))),f333(x46621)))),f38(f935(x46621,a923),x46622))
% 204.30/204.30 [4796]~P107(f331(f331(f240(a1),f331(f104(a1),x47961)),f331(f79(a1),f331(f104(a1),x47962))))
% 204.30/204.30 [3750]E(f331(f331(f23(a927),f331(f331(f80(a927),x37501),x37502)),x37502),x37501)
% 204.30/204.30 [3751]E(f331(f331(f23(a927),f331(f331(f80(a927),x37511),x37512)),x37511),x37512)
% 204.30/204.30 [3817]E(f331(f331(f80(a927),f331(f331(f23(a927),x38171),x38172)),x38172),f331(f331(f238(a927),x38171),x38172))
% 204.30/204.30 [3929]E(f331(f331(f81(a927),f331(f331(f36(a927),x39291),x39292)),x39292),f331(f331(f23(a927),x39291),f45(a927,x39291,x39292)))
% 204.30/204.30 [3956]E(f331(f176(a927),f143(a927,f331(f306(a927,f331(a116,x39561)),x39562))),f310(a927,x39561,x39562))
% 204.30/204.30 [3964]E(f331(f104(a1),f221(f331(a108,f331(f76(a1),x39641)),f331(a108,f331(f76(a1),x39642)))),f331(f331(a222,x39641),x39642))
% 204.30/204.30 [3966]E(f331(f331(f114(f935(x39661,a923)),f331(f79(f935(x39661,a923)),x39662)),x39662),f246(f935(x39661,a923)))
% 204.30/204.30 [3967]E(f331(f331(f105(f935(x39671,a923)),f331(f79(f935(x39671,a923)),x39672)),x39672),f192(f935(x39671,a923)))
% 204.30/204.30 [3984]P107(f331(f331(f239(a927),f331(f331(f23(a927),x39841),x39842)),x39841))
% 204.30/204.30 [3985]P107(f331(f331(f239(a927),f331(f331(f36(a927),x39851),x39852)),x39851))
% 204.30/204.30 [4009]P107(f331(f331(f240(a927),x40091),f331(a116,f331(f331(f80(a927),x40092),x40091))))
% 204.30/204.30 [4010]P107(f331(f331(f240(a927),x40101),f331(a116,f331(f331(f80(a927),x40101),x40102))))
% 204.30/204.30 [4027]E(f331(f331(f81(a927),f331(a108,f331(f76(a1),x40271))),f331(a108,f331(f76(a1),x40272))),f331(a108,f331(f76(a1),f331(f331(f81(a1),x40271),x40272))))
% 204.30/204.30 [4039]P107(f331(f331(f239(a1),f2(a1)),f331(f331(f248(a1),f331(f76(a1),x40391)),x40392)))
% 204.30/204.30 [4110]E(f331(f289(f928(x41101),f928(x41101),f162(x41101,x41102)),f331(f331(f313(f928(x41101)),f117(x41101)),f192(f935(f928(x41101),a923)))),f331(f331(f313(f928(x41101)),f117(x41101)),f192(f935(f928(x41101),a923))))
% 204.30/204.30 [4129]E(f331(f331(f114(f935(f934(x41291,x41291),a923)),f311(x41291,x41292)),f311(x41291,f192(f935(f934(x41291,x41291),a923)))),f311(x41291,x41292))
% 204.30/204.30 [4142]E(f331(f331(f36(a1),f331(f107(a1),f331(f331(f80(a1),x41421),x41421))),f331(f107(a1),f331(f331(f80(a1),x41422),x41422))),f331(f331(f36(a1),f331(f107(a1),x41421)),f331(f107(a1),x41422)))
% 204.30/204.30 [4206]E(f331(f331(f248(a1),x42061),f331(f107(a927),f331(f331(f80(a1),x42062),x42062))),f331(f331(f86(a1,a1),f331(f331(f248(a1),x42061),f331(f107(a927),x42062))),f331(f331(f18(a1,a1,a1),f81(a1)),f5(a1))))
% 204.30/204.30 [4213]E(f331(f266(f935(x42131,a923)),f331(f331(f7(f935(x42131,a923),f935(x42131,a923),a923),f239(f935(x42131,a923))),x42132)),f331(f312(x42131),x42132))
% 204.30/204.30 [4229]E(f331(f331(f158(a1,a927),a108),f331(f331(f138(a1),f331(f331(f158(a927,a1),f104(a1)),x42291)),f331(f331(f158(a927,a1),f104(a1)),x42292))),f331(f331(f138(a927),x42291),x42292))
% 204.30/204.30 [4261]E(f331(f314(a1,a1,f331(f331(f7(a1,a1,a1),f80(a1)),x42611)),f331(f306(a1,f2(a1)),f331(f331(f23(a1),x42612),x42611))),f331(f306(a1,x42611),x42612))
% 204.30/204.30 [4263]P54(x42631,f331(f331(f23(f935(f934(x42631,x42631),a923)),x42632),f311(x42631,f192(f935(f934(x42631,x42631),a923)))))
% 204.30/204.30 [4281]E(f331(f193(f928(x42811)),f331(f146(f928(x42811),f928(x42811),f138(x42811),f117(x42811)),x42812)),f331(f169(a927),f331(f331(f158(f928(x42811),a927),f193(f928(x42811))),x42812)))
% 204.30/204.30 [4285]P53(x42851,f246(f935(x42851,a923)),f331(f331(f114(f935(f934(x42851,x42851),a923)),x42852),f311(x42851,f192(f935(f934(x42851,x42851),a923)))))
% 204.30/204.30 [4330]E(f189(a927,f2(a927),f331(f331(f8(a927,a927,a927),a116),f331(f331(f7(a927,a927,a927),f237(a927)),x43301)),x43302),f331(f331(f237(a927),x43302),f331(a116,x43301)))
% 204.30/204.30 [4333]E(f189(a927,f331(a116,x43331),f331(f331(f8(a927,a927,a927),a116),f331(f331(f7(a927,a927,a927),f238(a927)),x43331)),x43332),f331(f331(f238(a927),x43332),f331(a116,x43331)))
% 204.30/204.30 [4336]E(f331(f314(x43361,f928(x43361),f331(f331(f7(x43361,f928(x43361),f928(x43361)),f155(x43361)),f117(x43361))),x43362),f178(x43361,x43362,f331(f331(f313(f928(x43361)),f117(x43361)),f192(f935(f928(x43361),a923)))))
% 204.30/204.30 [4338]E(f331(f331(f114(f935(f934(x43381,x43381),a923)),f331(f331(f293(x43381,x43381,x43381),x43382),f311(x43381,x43382))),f311(x43381,f192(f935(f934(x43381,x43381),a923)))),f311(x43381,x43382))
% 204.30/204.30 [4345]P107(f331(f331(f239(f935(f934(x43451,x43451),a923)),f267(x43451,x43452)),f331(f331(f258(x43451,x43451),x43452),f331(f16(f935(x43451,a923),x43451),x43452))))
% 204.30/204.30 [4348]E(f331(f314(a1,a927,a108),f331(f331(f114(f935(a1,a923)),f331(f314(a927,a1,f104(a1)),x43481)),f331(f314(a927,a1,f104(a1)),x43482))),f331(f331(f114(f935(a927,a923)),x43481),x43482))
% 204.30/204.30 [4349]E(f331(f314(a1,a927,a108),f331(f331(f105(f935(a1,a923)),f331(f314(a927,a1,f104(a1)),x43491)),f331(f314(a927,a1,f104(a1)),x43492))),f331(f331(f105(f935(a927,a923)),x43491),x43492))
% 204.30/204.30 [4352]E(f331(f266(x43521),f331(f331(f8(a923,a923,x43521),a326),f331(f331(f7(x43521,f935(x43521,a923),a923),f333(x43521)),x43522))),f331(f79(f935(x43521,a923)),x43522))
% 204.30/204.30 [4379]E(f331(f146(f928(x43791),f928(x43791),f138(x43791),f117(x43791)),f331(f331(f158(f928(x43791),f928(x43791)),f172(x43791)),f331(f172(f928(x43791)),x43792))),f331(f172(x43791),f331(f146(f928(x43791),f928(x43791),f138(x43791),f117(x43791)),x43792)))
% 204.30/204.30 [4406]E(f331(f331(f39(a927,f935(f934(x44061,x44061),a923)),f246(f935(a927,a923))),f331(f331(f7(a927,f935(f934(x44061,x44061),a923),f935(f934(x44061,x44061),a923)),f187(f934(x44061,x44061),a923)),x44062)),f311(x44061,x44062))
% 204.30/204.30 [4424]E(f85(x44241,f331(f331(f8(f935(x44241,a923),a923,x44241),f331(a328,x44242)),f331(f331(f7(x44241,f935(x44241,a923),f935(x44241,a923)),f313(x44241)),f192(f935(x44241,a923))))),f316(x44241,x44242))
% 204.30/204.30 [4432]E(f331(f193(f928(x44321)),f156(x44321,f331(f146(f928(x44321),f928(x44321),f138(x44321),f117(x44321)),x44322))),f331(f35(x44321),f331(f331(f39(f928(x44321),f935(x44321,a923)),f331(f176(f928(x44321)),x44322)),f176(x44321))))
% 204.30/204.30 [4446]E(f331(f331(f114(f935(f934(x44461,x44461),a923)),x44462),f331(f331(f293(x44461,x44461,x44461),f331(f331(f293(x44461,x44461,x44461),x44462),f311(x44461,x44462))),x44462)),f331(f331(f293(x44461,x44461,x44461),x44462),f311(x44461,x44462)))
% 204.30/204.30 [4470]P107(f331(f331(f239(f935(f934(x44701,x44701),a923)),f331(f331(f293(x44701,x44701,x44701),x44702),f311(x44701,x44702))),f331(f331(f258(x44701,x44701),f331(f285(x44701),x44702)),f331(f16(f935(x44701,a923),x44701),f331(f285(x44701),x44702)))))
% 204.30/204.30 [4511]E(f331(f266(f928(x45111)),f331(f331(f7(f928(x45111),f935(x45111,a923),a923),f331(f331(f8(f935(x45111,a923),f935(f935(x45111,a923),a923),f928(x45111)),f239(f935(x45111,a923))),f176(x45111))),x45112)),f165(x45111,x45112))
% 204.30/204.30 [4522]E(f331(f160(f928(x45221),x45221,f117(x45221),f331(f331(f8(f928(x45221),f935(f928(x45221),f928(x45221)),x45221),f331(f7(f928(x45221),f928(x45221),f928(x45221)),f138(x45221))),f331(f331(f7(x45221,f928(x45221),f928(x45221)),f155(x45221)),f117(x45221)))),x45222),f331(f171(x45221),x45222))
% 204.30/204.30 [4562]P24(f935(x45621,x45622),f935(f934(x45621,x45622),a923),f331(f331(f8(f935(f934(x45621,x45622),a923),f935(f934(x45621,x45622),a923),f935(x45621,x45622)),f266(f934(x45621,x45622))),f331(f331(f8(f935(x45621,f935(x45622,a923)),f935(f934(x45621,x45622),a923),f935(x45621,x45622)),f261(x45621,x45622,a923)),f331(f8(x45622,f935(x45622,a923),x45621),f331(f7(x45622,x45622,a923),a328)))),f246(f935(f935(x45621,x45622),a923)))
% 204.30/204.30 [4567]E(f45(a1,f331(f107(a1),f331(f331(f80(a1),x45671),x45671)),f331(f107(a1),f331(f331(f80(a1),x45672),x45672))),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f107(a1),x45671),f331(f107(a1),x45672))))
% 204.30/204.30 [4611]E(f331(f331(f39(x46111,f935(f934(x46111,x46111),a923)),x46112),f331(f331(f7(x46111,f935(f934(x46111,x46111),a923),f935(f934(x46111,x46111),a923)),f331(f331(f8(f934(x46111,x46111),f935(f935(f934(x46111,x46111),a923),f935(f934(x46111,x46111),a923)),x46111),f313(f934(x46111,x46111))),f331(f331(f18(x46111,x46111,f934(x46111,x46111)),f256(x46111,x46111)),f5(x46111)))),f192(f935(f934(x46111,x46111),a923)))),f267(x46111,x46112))
% 204.30/204.30 [4619]E(f207(x46191,f331(f331(f256(a1,a1),f331(f79(a1),f331(f331(f73(f934(a1,a1),a1,x46191,f255(a1,a1)),f217(x46191)),x46192))),f331(f331(f73(f934(a1,a1),a1,x46191,f260(a1,a1)),f217(x46191)),x46192))),f232(x46191,x46192))
% 204.30/204.30 [4700]E(f331(f266(f935(x47001,a923)),f331(f331(f8(f935(f935(x47001,a923),a923),a923,f935(x47001,a923)),f87(f935(x47001,a923))),f331(f331(f7(f935(x47001,a923),f935(f935(x47001,a923),a923),f935(f935(x47001,a923),a923)),f331(f331(f8(f935(f935(x47001,a923),f935(a923,a923)),f935(f935(f935(x47001,a923),a923),f935(f935(x47001,a923),a923)),f935(x47001,a923)),f18(f935(x47001,a923),a923,a923)),f331(f331(f8(f935(f935(x47001,a923),a923),f935(f935(x47001,a923),f935(a923,a923)),f935(x47001,a923)),f331(f8(a923,f935(a923,a923),f935(x47001,a923)),a329)),f331(f331(f7(f935(x47001,a923),f935(f935(x47001,a923),f935(x47001,a923)),f935(f935(x47001,a923),a923)),f331(f331(f8(f935(f935(x47001,a923),a923),f935(f935(f935(x47001,a923),f935(x47001,a923)),f935(f935(x47001,a923),a923)),f935(x47001,a923)),f8(f935(x47001,a923),a923,f935(x47001,a923))),a328)),f79(f935(x47001,a923)))))),f331(f331(f8(f935(f935(x47001,a923),a923),a923,f935(x47001,a923)),f331(f333(f935(x47001,a923)),x47002)),f312(x47001))))),f331(f312(x47001),f331(f79(f935(x47001,a923)),x47002)))
% 204.30/204.30 [4794]~E(f331(f331(f80(a1),x47941),x47941),f331(f331(f23(a1),f331(f331(f80(a1),x47942),x47942)),a101))
% 204.30/204.30 [4798]~P107(f331(f331(f240(a927),f331(f331(f80(a927),x47981),x47982)),x47982))
% 204.30/204.30 [4799]~P107(f331(f331(f240(a927),f331(f331(f80(a927),x47991),x47992)),x47991))
% 204.30/204.30 [4044]E(f331(f331(f23(a927),x40441),f331(f331(f81(a927),f331(f331(f36(a927),x40441),x40442)),x40442)),f45(a927,x40441,x40442))
% 204.30/204.30 [4045]E(f331(f331(f23(a1),x40451),f331(f331(f81(a1),f331(f331(f36(a1),x40451),x40452)),x40452)),f45(a1,x40451,x40452))
% 204.30/204.30 [4079]E(f331(f331(f158(a927,x40791),f331(f168(x40791),x40792)),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(x40791)),x40792)))),x40792)
% 204.30/204.30 [4138]E(f331(f289(x41381,x41381,f311(x41381,f192(f935(f934(x41381,x41381),a923)))),x41382),x41382)
% 204.30/204.30 [4266]E(f311(x42661,f331(f331(f114(f935(f934(x42661,x42661),a923)),x42662),f311(x42661,f192(f935(f934(x42661,x42661),a923))))),f311(x42661,x42662))
% 204.30/204.30 [4267]E(f311(x42671,f331(f331(f23(f935(f934(x42671,x42671),a923)),x42672),f311(x42671,f192(f935(f934(x42671,x42671),a923))))),f311(x42671,x42672))
% 204.30/204.30 [4317]E(f331(f331(f23(a1),f331(f331(f23(a1),f331(f331(f80(a1),x43171),x43171)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),x43172),x43172)),a101)),f331(f331(f80(a1),f331(f331(f23(a1),x43171),x43172)),f331(f331(f23(a1),x43171),x43172)))
% 204.30/204.30 [4357]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f80(a1),x43571),x43572)),f331(f331(f80(a1),x43571),x43572))),a101),f331(f331(f80(a1),f331(f331(f80(a1),x43571),x43571)),f331(f331(f23(a1),f331(f331(f80(a1),x43572),x43572)),a101)))
% 204.30/204.30 [4382]E(f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),x43821),x43821)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),x43822),x43822)),a101)),f331(f331(f80(a1),f331(f331(f80(a1),x43821),f331(f331(f23(a1),x43822),a101))),f331(f331(f80(a1),x43821),f331(f331(f23(a1),x43822),a101))))
% 204.30/204.30 [4393]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),x43931),x43932)),f331(f331(f23(a1),x43931),x43932))),a101),f331(f331(f23(a1),f331(f331(f23(a1),f331(f331(f80(a1),x43931),x43931)),a101)),f331(f331(f80(a1),x43932),x43932)))
% 204.30/204.30 [4394]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f80(a1),x43941),x43942)),f331(f331(f80(a1),x43941),x43942))),a101),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),x43941),x43941)),a101)),f331(f331(f80(a1),x43942),x43942)))
% 204.30/204.30 [4443]E(f331(f104(a1),f331(f331(f36(a927),f331(f331(f81(a927),f331(a108,f331(f76(a1),x44431))),f331(a108,f331(f76(a1),x44432)))),f221(f331(a108,f331(f76(a1),x44431)),f331(a108,f331(f76(a1),x44432))))),f223(x44431,x44432))
% 204.30/204.30 [4488]E(f331(f331(f263(f934(a103,a103),a103,f934(a103,a103),f934(x44881,f934(a103,a103))),f271(f331(a3,f331(f193(f928(x44881)),x44882)))),f331(f331(f8(x44881,f935(f934(a103,a103),f934(x44881,f934(a103,a103))),a103),f256(x44881,f934(a103,a103))),f331(f331(f8(a927,x44881,a103),f331(f168(x44881),x44882)),a20))),f279(x44881,x44882))
% 204.30/204.30 [4568]E(f331(f146(a927,f928(x45681),f331(f7(f928(x45681),a927,a927),f331(f331(f8(a927,f935(a927,a927),f928(x45681)),f238(a927)),f193(f928(x45681)))),f2(a927)),f331(f172(f928(x45681)),f183(x45681,x45682))),f331(f193(f928(f928(x45681))),f331(f140(f928(x45681),f331(f331(f8(a923,a923,f928(x45681)),a326),f331(f331(f7(f928(x45681),f928(x45681),a923),a328),f117(x45681)))),x45682)))
% 204.30/204.30 [4574]E(f331(f331(f39(a927,f935(x45741,a923)),f246(f935(a927,a923))),f331(f331(f7(a927,f935(a927,f935(x45741,a923)),f935(x45741,a923)),f331(f331(f8(f935(a927,a923),f935(f935(a927,f935(x45741,a923)),f935(x45741,a923)),a927),f39(a927,f935(x45741,a923))),f306(a927,f2(a927)))),x45742)),f331(f331(f39(a927,f935(x45741,a923)),f246(f935(a927,a923))),x45742))
% 204.30/204.30 [4596]P107(f331(f61(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),x45961)),f331(f331(f7(a927,a927,a923),f240(a927)),x45962)))))
% 204.30/204.30 [4709]E(f331(f266(f934(f928(x47091),f928(x47091))),f331(f261(f928(x47091),f928(x47091),a923),f331(f331(f18(f928(x47091),f935(f928(x47091),a923),f935(f928(x47091),a923)),f331(f331(f8(f935(f928(x47091),f935(a923,a923)),f935(f935(f928(x47091),a923),f935(f928(x47091),a923)),f928(x47091)),f18(f928(x47091),a923,a923)),f331(f331(f8(f935(f928(x47091),a923),f935(f928(x47091),f935(a923,a923)),f928(x47091)),f331(f8(a923,f935(a923,a923),f928(x47091)),a330)),f331(f331(f7(f928(x47091),f935(f928(x47091),a927),f935(f928(x47091),a923)),f331(f331(f8(f935(a927,a923),f935(f935(f928(x47091),a927),f935(f928(x47091),a923)),f928(x47091)),f8(a927,a923,f928(x47091))),f331(f331(f8(a927,f935(a927,a923),f928(x47091)),f240(a927)),f193(f928(x47091))))),f193(f928(x47091)))))),f331(f331(f18(f928(x47091),f935(f928(x47091),a923),f935(f928(x47091),a923)),f331(f331(f8(f935(f928(x47091),f935(a923,a923)),f935(f935(f928(x47091),a923),f935(f928(x47091),a923)),f928(x47091)),f18(f928(x47091),a923,a923)),f331(f331(f8(f935(f928(x47091),a923),f935(f928(x47091),f935(a923,a923)),f928(x47091)),f331(f8(a923,f935(a923,a923),f928(x47091)),a329)),f331(f331(f7(f928(x47091),f935(f928(x47091),a927),f935(f928(x47091),a923)),f331(f331(f8(f935(a927,a923),f935(f935(f928(x47091),a927),f935(f928(x47091),a923)),f928(x47091)),f8(a927,a923,f928(x47091))),f331(f331(f8(a927,f935(a927,a923),f928(x47091)),a328),f193(f928(x47091))))),f193(f928(x47091)))))),f331(f331(f7(f928(x47091),f935(f934(f928(x47091),f928(x47091)),a923),f935(f928(x47091),a923)),f331(f331(f8(f935(f928(x47091),f935(f935(f934(f928(x47091),f928(x47091)),a923),a923)),f935(f935(f934(f928(x47091),f928(x47091)),a923),f935(f928(x47091),a923)),f928(x47091)),f7(f928(x47091),f935(f934(f928(x47091),f928(x47091)),a923),a923)),f331(f331(f8(f935(f928(x47091),f934(f928(x47091),f928(x47091))),f935(f928(x47091),f935(f935(f934(f928(x47091),f928(x47091)),a923),a923)),f928(x47091)),f331(f8(f934(f928(x47091),f928(x47091)),f935(f935(f934(f928(x47091),f928(x47091)),a923),a923),f928(x47091)),f333(f934(f928(x47091),f928(x47091))))),f256(f928(x47091),f928(x47091))))),f149(x47091,x47092)))))),f150(x47091,x47092))
% 204.30/204.30 [4385]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f81(a1),x43851),x43852)),f331(f331(f81(a1),x43851),x43852))),x43852),f331(f331(f81(a1),f331(f331(f23(a1),f331(f331(f80(a1),x43851),x43851)),a101)),x43852))
% 204.30/204.30 [4487]E(f331(a108,f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x44871),x44872)),f192(f935(f934(a927,a927),a923)))))),f331(f331(f23(a927),x44871),x44872))
% 204.30/204.30 [4491]E(f331(f331(f293(x44911,x44911,x44911),f331(f331(f114(f935(f934(x44911,x44911),a923)),x44912),f311(x44911,f192(f935(f934(x44911,x44911),a923))))),f311(x44911,f331(f331(f114(f935(f934(x44911,x44911),a923)),x44912),f311(x44911,f192(f935(f934(x44911,x44911),a923)))))),f311(x44911,x44912))
% 204.30/204.30 [4528]E(f272(x45281,f331(f140(f934(a103,x45281),f331(f261(a103,x45281,a923),f331(f331(f8(a923,f935(x45281,a923),a103),f16(a923,x45281)),f331(f240(a103),f2(a103))))),x45282)),f272(x45281,x45282))
% 204.30/204.30 [4529]E(f270(x45291,f331(f140(f934(a103,x45291),f331(f261(a103,x45291,a923),f331(f331(f8(a923,f935(x45291,a923),a103),f16(a923,x45291)),f331(f240(a103),f2(a103))))),x45292)),f270(x45291,x45292))
% 204.30/204.30 [4531]E(f331(f79(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x45311),x45312)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x45312),x45311)),f192(f935(f934(a927,a927),a923))))))
% 204.30/204.30 [4587]E(f331(f331(f292(f928(a927),x45871),f149(a927,a244)),f331(f331(f7(x45871,f928(f935(x45871,a927)),f928(a927)),f331(f331(f8(f935(f935(x45871,a927),a927),f935(f928(f935(x45871,a927)),f928(a927)),x45871),f158(f935(x45871,a927),a927)),f331(f7(f935(x45871,a927),x45871,a927),f5(f935(x45871,a927))))),x45872)),f157(x45871,x45872))
% 204.30/204.30 [4608]E(f331(f331(f86(a1,a927),f331(f107(a1),f331(f331(f80(a1),x46081),a101))),f331(f331(f18(a1,a927,a927),f331(f331(f7(a1,a927,f935(a927,a927)),f331(f331(f8(a923,f935(a927,f935(a927,a927)),a1),f100(a927)),a197)),f2(a927))),f331(f331(f8(a927,a927,a1),a116),f331(f331(f8(a927,a927,a1),f331(f237(a927),x46082)),a108)))),f331(f331(f237(a927),f331(a116,x46082)),f331(f107(a927),x46081)))
% 204.30/204.30 [4609]E(f331(f331(f86(a1,a927),f331(f107(a1),f331(f331(f80(a1),x46091),a101))),f331(f331(f18(a1,a927,a927),f331(f331(f7(a1,a927,f935(a927,a927)),f331(f331(f8(a923,f935(a927,f935(a927,a927)),a1),f100(a927)),a197)),f331(a116,x46092))),f331(f331(f8(a927,a927,a1),a116),f331(f331(f8(a927,a927,a1),f331(f238(a927),x46092)),a108)))),f331(f331(f238(a927),f331(a116,x46092)),f331(f107(a927),x46091)))
% 204.30/204.30 [4629]E(f331(f146(f928(x46291),f928(x46291),f138(x46291),f117(x46291)),f331(f331(f158(f928(x46291),f928(x46291)),f160(f928(x46291),x46291,f117(x46291),f331(f331(f8(f928(x46291),f935(f928(x46291),f928(x46291)),x46291),f16(f928(x46291),f928(x46291))),f331(f331(f7(x46291,f928(x46291),f928(x46291)),f155(x46291)),f117(x46291))))),x46292)),f331(f331(f158(f928(x46291),x46291),f145(x46291)),f331(f140(f928(x46291),f331(f331(f8(a923,a923,f928(x46291)),a326),f331(f331(f7(f928(x46291),f928(x46291),a923),a328),f117(x46291)))),x46292)))
% 204.30/204.30 [4691]E(f331(f261(a1,a1,a923),f331(f331(f7(a1,f935(a1,a923),f935(a1,a923)),f331(f331(f8(f935(a1,f935(a923,a923)),f935(f935(a1,a923),f935(a1,a923)),a1),f18(a1,a923,a923)),f331(f331(f8(f935(a1,a923),f935(a1,f935(a923,a923)),a1),f331(f8(a923,f935(a923,a923),a1),a329)),f331(f331(f8(f935(a1,a1),f935(a1,a923),a1),f331(f8(a1,a923,a1),f331(a328,x46911))),f331(f331(f8(a1,f935(a1,a1),a1),f80(a1)),f331(f81(a1),x46912)))))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),f331(a334,f331(f331(f240(a1),f2(a1)),x46912))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),f331(f331(f7(a1,a1,a923),f240(a1)),x46912))))),f331(f331(f8(a923,a923,a1),f331(a334,f331(a326,f331(f331(f240(a1),f2(a1)),x46912)))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f240(a1),x46912))),f331(f331(f7(a1,a1,a923),f239(a1)),f2(a1))))))),f49(x46911,x46912))
% 204.30/204.30 [4694]E(f331(f266(x46941),f331(f331(f8(f935(a927,a923),a923,x46941),f87(a927)),f331(f331(f7(x46941,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),x46941),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),x46941),f331(f8(a923,f935(a923,a923),a927),a329)),f331(f331(f7(x46941,f935(a927,x46941),f935(a927,a923)),f331(f331(f8(f935(x46941,a923),f935(f935(a927,x46941),f935(a927,a923)),x46941),f8(x46941,a923,a927)),a328)),f331(f168(x46941),x46942))))),f331(f331(f7(a927,a927,a923),f240(a927)),f331(f193(f928(x46941)),x46942))))),f331(f176(x46941),x46942))
% 204.30/204.30 [4501]E(f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),x45011),a101)),x45012)),f331(f331(f23(a1),f331(f331(f80(a1),x45011),a101)),x45012))),a101),f331(f331(f23(a1),f331(f331(f80(a1),x45011),x45011)),f331(f331(f23(a1),f331(f331(f80(a1),x45012),x45012)),a101)))
% 204.30/204.30 [4624]E(f331(f146(f928(f928(x46241)),f928(f928(x46241)),f138(f928(x46241)),f117(f928(x46241))),f331(f331(f158(f928(x46241),f928(f928(x46241))),f160(f928(f928(x46241)),x46241,f117(f928(x46241)),f331(f16(f935(f928(x46241),f928(f928(x46241))),x46241),f331(f331(f7(f928(x46241),f928(f928(x46241)),f928(f928(x46241))),f155(f928(x46241))),f117(f928(x46241)))))),x46242)),f331(f331(f158(f928(x46241),f928(x46241)),f175(x46241)),f331(f140(f928(x46241),f331(f331(f8(a923,a923,f928(x46241)),a326),f331(f331(f7(f928(x46241),f928(x46241),a923),a328),f117(x46241)))),x46242)))
% 204.30/204.30 [4634]E(f331(f331(f86(a1,a927),f331(f107(a1),f331(f331(f80(a1),x46341),a101))),f331(f331(f18(a1,a927,a927),f331(f331(f7(a1,a927,f935(a927,a927)),f331(f331(f8(a923,f935(a927,f935(a927,a927)),a1),f100(a927)),a197)),f2(a927))),f331(f331(f8(a927,a927,a1),a116),f331(f331(f7(a1,a927,a927),f331(f331(f8(a927,f935(a927,a927),a1),f237(a927)),a108)),x46342)))),f331(f331(f237(a927),f331(f107(a927),x46341)),f331(a116,x46342)))
% 204.30/204.30 [4635]E(f331(f331(f86(a1,a927),f331(f107(a1),f331(f331(f80(a1),x46351),a101))),f331(f331(f18(a1,a927,a927),f331(f331(f7(a1,a927,f935(a927,a927)),f331(f331(f8(a923,f935(a927,f935(a927,a927)),a1),f100(a927)),a197)),f331(a116,x46352))),f331(f331(f8(a927,a927,a1),a116),f331(f331(f7(a1,a927,a927),f331(f331(f8(a927,f935(a927,a927),a1),f238(a927)),a108)),x46352)))),f331(f331(f238(a927),f331(f107(a927),x46351)),f331(a116,x46352)))
% 204.30/204.30 [4623]E(f331(f261(x46231,x46231,a923),f331(f331(f18(x46231,a923,f935(x46231,a923)),f331(f331(f8(f935(x46231,f935(a923,a923)),f935(a923,f935(x46231,a923)),x46231),f7(x46231,a923,a923)),f331(f331(f8(f935(x46231,a923),f935(x46231,f935(a923,a923)),x46231),f331(f8(a923,f935(a923,a923),x46231),a329)),a328))),x46232)),f267(x46231,x46232))
% 204.30/204.30 [4668]E(f331(f331(f36(a927),x46681),f331(f331(f80(a927),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x46682)),f331(f331(f36(a927),x46681),f331(a116,f331(a116,f331(a116,x46682)))))
% 204.30/204.30 [4669]E(f45(a927,x46691,f331(f331(f80(a927),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x46692)),f45(a927,x46691,f331(a116,f331(a116,f331(a116,x46692)))))
% 204.30/204.30 [4670]E(f45(a927,f331(f331(f80(a927),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x46701),x46702),f45(a927,f331(a116,f331(a116,f331(a116,x46701))),x46702))
% 204.30/204.30 [4682]E(f127(f331(x46821,f331(f331(f81(a103),f331(f107(a103),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x46822))),f331(f205(x46821),x46822))
% 204.30/204.30 [4683]E(f331(f331(f36(a927),f331(f331(f80(a927),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x46831)),x46832),f331(f331(f36(a927),f331(a116,f331(a116,f331(a116,x46831)))),x46832))
% 204.30/204.30 [4746]~E(f27(x47461,x47462,x47463),a25)
% 204.30/204.30 [4747]~E(f26(x47471,x47472,x47473),a25)
% 204.30/204.30 [4751]~E(f130(x47511,x47512,x47513),f123(x47511))
% 204.30/204.30 [3473]E(f331(f196(x34731,x34732),x34733),f125(x34731,x34732))
% 204.30/204.30 [3492]E(f331(f204(x34921,x34922),x34923),f331(f133(x34921),x34922))
% 204.30/204.30 [3570]E(f331(f331(f158(x35701,x35702),x35703),f117(x35701)),f117(x35702))
% 204.30/204.30 [3610]E(f331(f188(x36101,x36102,x36103),f2(a927)),x36102)
% 204.30/204.30 [3612]E(f331(f331(f185(x36121,x36122),x36123),f117(x36122)),f117(f934(x36121,x36122)))
% 204.30/204.30 [3627]E(f331(f193(f928(x36271)),f173(x36271,x36272,x36273)),x36272)
% 204.30/204.30 [3646]E(f85(x36461,f62(x36461,x36462,x36463)),f331(f63(x36461,x36462),x36463))
% 204.30/204.30 [3650]E(f247(x36501,x36502,f247(x36502,x36501,x36503)),x36503)
% 204.30/204.30 [3670]E(f331(f172(x36701),f173(x36701,x36702,x36703)),f173(x36701,x36702,x36703))
% 204.30/204.30 [3697]E(f144(x36971,x36972,f156(x36971,x36973)),f156(x36971,f144(x36971,x36972,x36973)))
% 204.30/204.30 [3716]E(f331(f255(f928(x37161),f928(x37161)),f170(x37161,x37162,x37163)),f331(f140(x37161,x37162),x37163))
% 204.30/204.30 [3759]E(f331(f331(f155(x37591),x37592),f173(x37591,x37593,x37592)),f173(x37591,f331(a116,x37593),x37592))
% 204.30/204.30 [3791]E(f189(x37911,x37912,x37913,f2(a927)),x37912)
% 204.30/204.30 [3792]E(f17(x37921,x37922,x37923,f2(a103)),x37922)
% 204.30/204.30 [3793]E(f19(x37931,x37932,x37933,f2(a103)),x37932)
% 204.30/204.30 [3800]E(f167(x38001,x38002,x38003,f117(x38001)),f117(x38002))
% 204.30/204.30 [3801]E(f134(x38011,x38012,x38013,f123(x38011)),f123(x38012))
% 204.30/204.30 [3807]E(f331(f331(f168(x38071),f331(f331(f155(x38071),x38072),x38073)),f2(a927)),x38072)
% 204.30/204.30 [3837]E(f59(x38371,x38372,f117(x38371),x38373),f117(f934(x38371,x38372)))
% 204.30/204.30 [3858]P24(x38581,x38582,x38583,f192(f935(x38581,a923)))
% 204.30/204.30 [3960]E(f269(x39601,x39602,x39603),f331(f256(f935(a103,f935(a923,f931(f929(x39601)))),f934(a103,a103)),f41(x39601)))
% 204.30/204.30 [4018]E(f331(f73(x40181,x40182,x40181,x40183),f32(x40181)),x40183)
% 204.30/204.30 [4197]P107(f331(f331(f333(f934(x41971,x41971)),f331(f331(f256(x41971,x41971),x41972),x41972)),f311(x41971,x41973)))
% 204.30/204.30 [4804]~P107(f331(f331(f333(f934(f928(x48041),f928(x48041))),f331(f331(f256(f928(x48041),f928(x48041)),x48042),f117(x48041))),f149(x48041,x48043)))
% 204.30/204.30 [4805]~P107(f331(f331(f333(f934(f928(x48051),f928(x48051))),f331(f331(f256(f928(x48051),f928(x48051)),x48052),f117(x48051))),f151(x48051,x48053)))
% 204.30/204.30 [4806]~P107(f331(f331(f333(f934(f928(x48061),f928(x48061))),f331(f331(f256(f928(x48061),f928(x48061)),x48062),f117(x48061))),f161(x48061,x48063)))
% 204.30/204.30 [4807]~P107(f331(f331(f333(f934(f928(x48071),f928(x48071))),f331(f331(f256(f928(x48071),f928(x48071)),f117(x48071)),x48072)),f149(x48071,x48073)))
% 204.30/204.30 [4808]~P107(f331(f331(f333(f934(f928(x48081),f928(x48081))),f331(f331(f256(f928(x48081),f928(x48081)),f117(x48081)),x48082)),f161(x48081,x48083)))
% 204.30/204.30 [3543]E(f331(f331(f206(x35431),x35432),x35433),f207(x35431,f220(x35432,x35433)))
% 204.30/204.30 [3599]E(f331(f290(x35991,x35992),f331(f290(x35992,x35991),x35993)),x35993)
% 204.30/204.30 [3622]E(f331(f331(f185(x36221,x36222),f117(x36221)),x36223),f117(f934(x36221,x36222)))
% 204.30/204.30 [3625]E(f180(x36251,x36252,f331(f286(a927),x36253)),f331(f331(f179(x36251),x36253),x36252))
% 204.30/204.30 [3643]E(f156(x36431,f331(f140(x36431,x36432),x36433)),f331(f140(x36431,x36432),f156(x36431,x36433)))
% 204.30/204.30 [3644]E(f331(f288(x36441,x36442),f331(f290(x36442,x36441),x36443)),f331(f268(x36442,x36441),x36443))
% 204.30/204.30 [3645]E(f331(f268(x36451,x36452),f331(f290(x36452,x36451),x36453)),f331(f288(x36452,x36451),x36453))
% 204.30/204.30 [3663]E(f331(f140(x36631,x36632),f331(f172(x36631),x36633)),f331(f172(x36631),f331(f140(x36631,x36632),x36633)))
% 204.30/204.30 [3676]E(f331(f331(f142(x36761),x36762),f331(f175(x36761),x36763)),f331(f331(f142(x36761),f331(a116,x36762)),x36763))
% 204.30/204.30 [3692]E(f28(f26(x36921,x36922,x36923)),f331(f331(f80(a927),f28(x36923)),f331(a116,f2(a927))))
% 204.30/204.30 [3693]E(f331(f314(x36931,x36932,x36933),f192(f935(x36931,a923))),f192(f935(x36932,a923)))
% 204.30/204.30 [3694]E(f331(f289(x36941,x36942,x36943),f192(f935(x36941,a923))),f192(f935(x36942,a923)))
% 204.30/204.30 [3695]E(f331(f315(x36951,x36952,x36953),f192(f935(x36952,a923))),f192(f935(x36951,a923)))
% 204.30/204.30 [3696]E(f331(f315(x36961,x36962,x36963),f246(f935(x36962,a923))),f246(f935(x36961,a923)))
% 204.30/204.30 [3722]E(f124(x37221,f130(f929(x37221),x37222,x37223)),f120(x37221,x37222,f124(x37221,x37223)))
% 204.30/204.30 [3724]E(f331(f331(f313(x37241),x37242),f331(f176(x37241),x37243)),f331(f176(x37241),f144(x37241,x37242,x37243)))
% 204.30/204.30 [3811]E(f331(f193(a925),f26(x38111,x38112,x38113)),f331(f331(f80(a927),f331(f193(a925),x38113)),f331(a116,f2(a927))))
% 204.30/204.30 [3812]E(f331(f314(f934(x38121,x38122),x38122,f260(x38121,x38122)),x38123),f331(f288(x38121,x38122),x38123))
% 204.30/204.30 [3813]E(f331(f314(f934(x38131,x38132),x38131,f255(x38131,x38132)),x38133),f331(f268(x38131,x38132),x38133))
% 204.30/204.30 [3829]E(f331(f176(x38291),f173(x38291,f331(a116,x38292),x38293)),f331(f331(f313(x38291),x38293),f192(f935(x38291,a923))))
% 204.30/204.30 [3887]E(f331(f331(f256(x38871,x38872),f331(f255(x38871,x38872),x38873)),f331(f260(x38871,x38872),x38873)),x38873)
% 204.30/204.30 [3894]E(f331(f193(f929(x38941)),f130(x38941,x38942,x38943)),f331(f331(f80(a927),f331(f193(f929(x38941)),x38943)),f331(a116,f2(a927))))
% 204.30/204.30 [3895]E(f331(f331(f261(x38951,x38952,x38951),f16(x38951,x38952)),x38953),f331(f255(x38951,x38952),x38953))
% 204.30/204.30 [3973]E(f28(f27(x39731,x39732,x39733)),f331(f331(f80(a927),f331(f331(f80(a927),f28(x39732)),f28(x39733))),f331(a116,f2(a927))))
% 204.30/204.30 [4023]E(f331(f73(x40231,x40231,x40232,f32(x40231)),x40233),x40233)
% 204.30/204.30 [4030]E(f331(f331(f138(x40301),f173(x40301,x40302,x40303)),f331(f331(f155(x40301),x40303),f117(x40301))),f331(f331(f155(x40301),x40303),f173(x40301,x40302,x40303)))
% 204.30/204.30 [4132]E(f331(f193(a925),f27(x41321,x41322,x41323)),f331(f331(f80(a927),f331(f331(f80(a927),f331(f193(a925),x41322)),f331(f193(a925),x41323))),f331(a116,f2(a927))))
% 204.30/204.30 [4207]P107(f331(f331(f239(f935(x42071,a923)),f331(f176(x42071),f331(f140(x42071,x42072),x42073))),f331(f176(x42071),x42073)))
% 204.30/204.30 [4252]P107(f331(f331(f239(f935(x42521,a923)),f331(f176(x42521),f331(f331(f179(x42521),x42522),x42523))),f331(f176(x42521),x42523)))
% 204.30/204.30 [4253]P107(f331(f331(f239(f935(x42531,a923)),f331(f176(x42531),f331(f331(f142(x42531),x42532),x42533))),f331(f176(x42531),x42533)))
% 204.30/204.30 [4257]P107(f331(f331(f239(f935(x42571,a923)),f331(f176(x42571),f180(x42571,x42572,x42573))),f331(f176(x42571),x42572)))
% 204.30/204.30 [4258]P107(f331(f331(f239(f935(x42581,a923)),f331(f176(x42581),f174(x42581,x42582,x42583))),f331(f176(x42581),x42583)))
% 204.30/204.30 [4279]P24(f934(x42791,x42792),f934(x42792,x42791),f331(f261(x42791,x42792,f934(x42792,x42791)),f331(f7(x42792,x42791,f934(x42792,x42791)),f256(x42792,x42791))),x42793)
% 204.30/204.30 [4290]E(f331(f331(f331(f187(f928(x42901),f928(x42901)),f45(a927,x42902,f331(f193(f928(x42901)),x42903))),f171(x42901)),x42903),f331(f331(f331(f187(f928(x42901),f928(x42901)),x42902),f171(x42901)),x42903))
% 204.30/204.30 [4334]P107(f331(f331(f333(f934(f928(x43341),f928(x43341))),f331(f331(f256(f928(x43341),f928(x43341)),x43342),x43342)),f162(x43341,f311(x43341,x43343))))
% 204.30/204.30 [4474]E(f85(f934(x44741,x44742),f331(f331(f18(f934(x44741,x44742),x44742,a923),f331(f331(f8(x44741,f935(x44742,a923),f934(x44741,x44742)),x44743),f255(x44741,x44742))),f260(x44741,x44742))),f85(f934(x44741,x44742),f331(f261(x44741,x44742,a923),x44743)))
% 204.30/204.30 [4475]E(f90(f934(x44751,x44752),f331(f331(f18(f934(x44751,x44752),x44752,a923),f331(f331(f8(x44751,f935(x44752,a923),f934(x44751,x44752)),x44753),f255(x44751,x44752))),f260(x44751,x44752))),f90(f934(x44751,x44752),f331(f261(x44751,x44752,a923),x44753)))
% 204.30/204.30 [4508]E(f331(f331(f292(f934(a927,x45081),x45081),f323(a927,x45081,a244,x45082)),f331(f331(f18(x45081,x45081,f934(a927,x45081)),f331(f331(f8(a927,f935(x45081,f934(a927,x45081)),x45081),f256(a927,x45081)),x45083)),f5(x45081))),f325(x45081,x45083,x45082))
% 204.30/204.30 [4570]E(f331(f262(x45701,x45701,x45702,x45702,f5(x45701),f5(x45702)),x45703),x45703)
% 204.30/204.30 [4643]E(f331(f146(f928(f928(x46431)),f928(f928(x46431)),f138(f928(x46431)),f117(f928(x46431))),f331(f331(f158(f928(x46431),f928(f928(x46431))),f331(f331(f7(f928(x46431),f928(x46431),f928(f928(x46431))),f331(f331(f8(f935(x46431,f928(x46431)),f935(f928(x46431),f928(f928(x46431))),f928(x46431)),f158(x46431,f928(x46431))),f331(f7(x46431,f928(x46431),f928(x46431)),f155(x46431)))),x46432)),f55(x46431,x46433,x46432))),f55(x46431,f331(a116,x46433),x46432))
% 204.30/204.30 [4699]E(f228(a927,f934(x46991,f929(x46991)),f2(a927),f331(f261(x46991,f929(x46991),a927),f331(f331(f7(x46991,a927,f935(f929(x46991),a927)),f331(f331(f8(f935(f929(x46991),f935(a927,a927)),f935(a927,f935(f929(x46991),a927)),x46991),f7(f929(x46991),a927,a927)),f331(f331(f8(f935(f929(x46991),a927),f935(f929(x46991),f935(a927,a927)),x46991),f331(f8(a927,f935(a927,a927),f929(x46991)),f80(a927))),f331(f331(f7(x46991,f935(f929(x46991),a927),f935(f929(x46991),a927)),f331(f331(f8(f935(a927,a927),f935(f935(f929(x46991),a927),f935(f929(x46991),a927)),x46991),f8(a927,a927,f929(x46991))),f331(f331(f8(a927,f935(a927,a927),x46991),f80(a927)),x46992))),f129(x46991,x46992))))),f78(a927))),f331(f139(x46991),x46993)),f331(f129(x46991,x46992),x46993))
% 204.30/204.30 [4708]E(f331(f331(f86(a1,x47081),f223(f331(f331(f73(f934(a1,a1),a1,x47081,f260(a1,a1)),f217(x47081)),x47082),f331(f331(f73(f934(a1,a1),a1,x47081,f260(a1,a1)),f217(x47081)),x47083))),f331(f331(f18(a1,a1,x47081),f331(f331(f8(a1,f935(a1,x47081),a1),f206(x47081)),f331(f331(f18(a1,a1,a1),f331(f331(f8(a1,f935(a1,a1),a1),f80(a1)),f331(f331(f8(a1,a1,a1),f331(f81(a1),f331(f331(f73(f934(a1,a1),a1,x47081,f255(a1,a1)),f217(x47081)),x47082))),f331(f331(f7(a1,a1,a1),f36(a1)),f331(f331(f73(f934(a1,a1),a1,x47081,f260(a1,a1)),f217(x47081)),x47082))))),f331(f331(f8(a1,a1,a1),f331(f81(a1),f331(f331(f73(f934(a1,a1),a1,x47081,f255(a1,a1)),f217(x47081)),x47083))),f331(f331(f7(a1,a1,a1),f36(a1)),f331(f331(f73(f934(a1,a1),a1,x47081,f260(a1,a1)),f217(x47081)),x47083)))))),f5(a1))),f235(x47081,x47082,x47083))
% 204.30/204.30 [4742]~E(f331(f331(f155(x47421),x47422),x47423),x47423)
% 204.30/204.30 [4749]~E(f331(f331(f155(x47491),x47492),x47493),f117(x47491))
% 204.30/204.30 [4763]~E(f331(f331(f313(x47631),x47632),x47633),f192(f935(x47631,a923)))
% 204.30/204.30 [4785]~E(f331(f314(x47851,f935(x47851,a923),x47852),x47853),f331(f312(x47851),x47853))
% 204.30/204.30 [3604]E(f331(f331(f163(x36041,f117(x36041)),x36042),x36043),f117(x36041))
% 204.30/204.30 [3605]E(f331(f145(x36051),f331(f331(f155(x36051),x36052),x36053)),x36052)
% 204.30/204.30 [3606]E(f331(f175(x36061),f331(f331(f155(x36061),x36062),x36063)),x36063)
% 204.30/204.30 [3649]E(f331(f331(f142(x36491),f78(a927)),f331(f331(f155(x36491),x36492),x36493)),x36493)
% 204.30/204.30 [3683]E(f118(x36831,f331(f331(f142(x36831),x36832),x36833)),f331(f331(f142(x36831),x36832),f118(x36831,x36833)))
% 204.30/204.30 [3685]E(f331(f331(f163(x36851,x36852),x36853),f331(f331(f168(x36851),x36852),x36853)),x36852)
% 204.30/204.30 [3706]E(f331(f331(f313(x37061),x37062),f331(f331(f313(x37061),x37062),x37063)),f331(f331(f313(x37061),x37062),x37063))
% 204.30/204.30 [3719]E(f331(f331(f313(x37191),x37192),f331(f176(x37191),x37193)),f331(f176(x37191),f331(f331(f155(x37191),x37192),x37193)))
% 204.30/204.30 [3721]E(f331(f331(f142(x37211),x37212),f331(f175(x37211),x37213)),f331(f175(x37211),f331(f331(f142(x37211),x37212),x37213)))
% 204.30/204.30 [3733]E(f331(f331(f179(x37331),f78(a927)),f331(f331(f155(x37331),x37332),x37333)),f331(f331(f155(x37331),x37332),f117(x37331)))
% 204.30/204.30 [3776]E(f331(f63(x37761,x37762),f331(f331(f313(x37761),x37763),f192(f935(x37761,a923)))),x37763)
% 204.30/204.30 [3819]E(f331(f331(f80(a927),x38191),f331(f331(f80(a927),x38192),x38193)),f331(f331(f80(a927),x38192),f331(f331(f80(a927),x38191),x38193)))
% 204.30/204.30 [3820]E(f331(f331(f80(a1),x38201),f331(f331(f80(a1),x38202),x38203)),f331(f331(f80(a1),x38202),f331(f331(f80(a1),x38201),x38203)))
% 204.30/204.30 [3825]E(f331(f331(f258(x38251,x38252),f192(f935(x38251,a923))),x38253),f192(f935(f934(x38251,x38252),a923)))
% 204.30/204.30 [3850]E(f331(f331(f114(f935(x38501,a923)),x38502),x38503),f331(f331(f114(f935(x38501,a923)),x38503),x38502))
% 204.30/204.30 [3851]E(f331(f331(f105(f935(x38511,a923)),x38512),x38513),f331(f331(f105(f935(x38511,a923)),x38513),x38512))
% 204.30/204.30 [3853]E(f331(f331(f138(x38531),x38532),f331(f331(f155(x38531),x38533),f117(x38531))),f331(f171(x38531),f331(f331(f155(x38531),x38533),x38532)))
% 204.30/204.30 [3854]E(f331(f331(f138(x38541),f331(f172(x38541),x38542)),f331(f172(x38541),x38543)),f331(f172(x38541),f331(f331(f138(x38541),x38543),x38542)))
% 204.30/204.30 [3864]E(f331(f175(x38641),f331(f331(f179(x38641),f331(a116,x38642)),x38643)),f331(f331(f179(x38641),x38642),f331(f175(x38641),x38643)))
% 204.30/204.30 [3872]P107(f331(f331(f333(x38721),x38722),f331(f331(f313(x38721),x38722),x38723)))
% 204.30/204.30 [3876]E(f331(f331(f40(x38761,f935(x38762,a923)),f192(f935(x38761,a923))),x38763),f246(f935(x38762,a923)))
% 204.30/204.30 [3879]E(f331(f289(x38791,x38791,f267(x38791,x38792)),x38793),f331(f331(f105(f935(x38791,a923)),x38792),x38793))
% 204.30/204.30 [3893]E(f331(f193(f928(x38931)),f331(f331(f155(x38931),x38932),x38933)),f331(f331(f80(a927),f331(f193(f928(x38931)),x38933)),f331(a116,f2(a927))))
% 204.30/204.30 [3897]E(f118(x38971,f331(f331(f138(x38971),x38972),f331(f331(f155(x38971),x38973),f117(x38971)))),x38972)
% 204.30/204.30 [3898]E(f148(x38981,f331(f331(f138(x38981),x38982),f331(f331(f155(x38981),x38983),f117(x38981)))),x38983)
% 204.30/204.30 [3907]E(f331(f331(f138(x39071),f331(f331(f179(x39071),x39072),x39073)),f331(f331(f142(x39071),x39072),x39073)),x39073)
% 204.30/204.30 [3916]E(f331(f331(f23(a927),f331(f331(f80(a927),x39161),x39162)),f331(f331(f80(a927),x39163),x39162)),f331(f331(f23(a927),x39161),x39163))
% 204.30/204.30 [3917]E(f331(f331(f23(a927),f331(f331(f80(a927),x39171),x39172)),f331(f331(f80(a927),x39171),x39173)),f331(f331(f23(a927),x39172),x39173))
% 204.30/204.30 [3923]E(f331(f331(f138(x39231),f331(f172(x39231),x39232)),f331(f331(f155(x39231),x39233),f117(x39231))),f331(f172(x39231),f331(f331(f155(x39231),x39233),x39232)))
% 204.30/204.30 [3925]E(f331(f331(f80(a927),f331(f193(f928(x39251)),x39252)),f331(f193(f928(x39251)),x39253)),f331(f193(f928(x39251)),f331(f331(f138(x39251),x39252),x39253)))
% 204.30/204.30 [3928]E(f331(f331(f80(a927),f331(f193(f928(x39281)),x39282)),f331(f193(f928(x39281)),x39283)),f331(f193(f928(x39281)),f177(x39281,x39282,x39283)))
% 204.30/204.30 [3935]E(f331(f331(f114(f935(x39351,a923)),f331(f176(x39351),x39352)),f331(f176(x39351),x39353)),f331(f176(x39351),f331(f331(f138(x39351),x39352),x39353)))
% 204.30/204.30 [3936]E(f45(a927,f331(f331(f81(a927),x39361),x39362),f331(f331(f81(a927),x39361),x39363)),f331(f331(f81(a927),x39361),f45(a927,x39362,x39363)))
% 204.30/204.30 [3948]E(f331(f331(f179(x39481),f331(f331(f23(a927),x39482),f78(a927))),f331(f175(x39481),x39483)),f331(f175(x39481),f331(f331(f179(x39481),x39482),x39483)))
% 204.30/204.30 [3953]E(f331(f331(f105(f935(x39531,a923)),x39532),f331(f79(f935(x39531,a923)),x39533)),f331(f331(f23(f935(x39531,a923)),x39532),x39533))
% 204.30/204.30 [3954]E(f331(f331(f23(f935(x39541,a923)),x39542),f331(f79(f935(x39541,a923)),x39543)),f331(f331(f105(f935(x39541,a923)),x39542),x39543))
% 204.30/204.30 [3977]E(f331(f331(f258(x39771,x39772),x39773),f331(f16(f935(x39772,a923),x39771),f192(f935(x39772,a923)))),f192(f935(f934(x39771,x39772),a923)))
% 204.30/204.30 [3979]E(f331(f331(f23(a927),f331(f331(f81(a927),x39791),x39792)),f331(f331(f81(a927),x39791),x39793)),f331(f331(f81(a927),x39791),f331(f331(f23(a927),x39792),x39793)))
% 204.30/204.30 [3980]E(f331(f331(f80(a927),f331(f331(f81(a927),x39801),x39802)),f331(f331(f81(a927),x39801),x39803)),f331(f331(f81(a927),x39801),f331(f331(f80(a927),x39802),x39803)))
% 204.30/204.30 [3981]E(f331(f331(f23(a1),f331(f331(f81(a1),x39811),x39812)),f331(f331(f81(a1),x39811),x39813)),f331(f331(f81(a1),x39811),f331(f331(f23(a1),x39812),x39813)))
% 204.30/204.30 [3982]E(f331(f331(f80(a1),f331(f331(f81(a1),x39821),x39822)),f331(f331(f81(a1),x39821),x39823)),f331(f331(f81(a1),x39821),f331(f331(f80(a1),x39822),x39823)))
% 204.30/204.30 [3983]E(f331(f331(f81(a1),f331(f331(f248(a1),x39831),x39832)),f331(f331(f248(a1),x39831),x39833)),f331(f331(f248(a1),x39831),f331(f331(f80(a927),x39832),x39833)))
% 204.30/204.30 [3997]E(f331(f331(f39(x39971,f935(x39972,a923)),x39973),f331(f16(f935(x39972,a923),x39971),f192(f935(x39972,a923)))),f192(f935(x39972,a923)))
% 204.30/204.30 [3999]E(f45(a927,f331(f331(f81(a927),x39991),x39992),f331(f331(f81(a927),x39993),x39992)),f331(f331(f81(a927),f45(a927,x39991,x39993)),x39992))
% 204.30/204.30 [4004]E(f45(a1,f331(f331(f23(a1),x40041),f45(a1,x40042,x40043)),x40043),f45(a1,f331(f331(f23(a1),x40041),x40042),x40043))
% 204.30/204.30 [4005]E(f45(a1,f331(f331(f81(a1),x40051),f45(a1,x40052,x40053)),x40053),f45(a1,f331(f331(f81(a1),x40051),x40052),x40053))
% 204.30/204.30 [4006]P107(f331(f331(f239(f935(x40061,a923)),x40062),f331(f331(f313(x40061),x40063),x40062)))
% 204.30/204.30 [4083]E(f331(f331(f40(f935(x40831,a923),f935(x40831,a923)),x40832),f331(f114(f935(x40831,a923)),x40833)),f331(f331(f114(f935(x40831,a923)),x40833),f38(f935(x40831,a923),x40832)))
% 204.30/204.30 [4084]E(f331(f331(f39(f935(x40841,a923),f935(x40841,a923)),x40842),f331(f105(f935(x40841,a923)),x40843)),f331(f331(f105(f935(x40841,a923)),x40843),f37(f935(x40841,a923),x40842)))
% 204.30/204.30 [4096]E(f331(f176(x40961),f331(f331(f331(f187(f928(x40961),f928(x40961)),x40962),f171(x40961)),x40963)),f331(f176(x40961),x40963))
% 204.30/204.30 [4100]E(f331(f331(f179(x41001),f331(f193(f928(x41001)),f181(x41001,x41002,x41003))),x41003),f181(x41001,x41002,x41003))
% 204.30/204.30 [4104]E(f331(f193(f928(x41041)),f331(f331(f331(f187(f928(x41041),f928(x41041)),x41042),f171(x41041)),x41043)),f331(f193(f928(x41041)),x41043))
% 204.30/204.30 [4107]E(f331(f331(f261(x41071,x41072,x41072),f331(f16(f935(x41072,x41072),x41071),f5(x41072))),x41073),f331(f260(x41071,x41072),x41073))
% 204.30/204.30 [4114]E(f45(a1,f331(f331(f23(a1),f45(a1,x41141,x41142)),x41143),x41142),f45(a1,f331(f331(f23(a1),x41141),x41143),x41142))
% 204.30/204.30 [4115]E(f45(a1,f331(f331(f248(a1),f45(a1,x41151,x41152)),x41153),x41152),f45(a1,f331(f331(f248(a1),x41151),x41153),x41152))
% 204.30/204.30 [4118]E(f331(f331(f39(f935(f934(x41181,x41182),a923),f935(x41182,a923)),x41183),f288(x41181,x41182)),f331(f288(x41181,x41182),f37(f935(f934(x41181,x41182),a923),x41183)))
% 204.30/204.30 [4119]E(f331(f331(f39(f935(f934(x41191,x41192),a923),f935(x41191,a923)),x41193),f268(x41191,x41192)),f331(f268(x41191,x41192),f37(f935(f934(x41191,x41192),a923),x41193)))
% 204.30/204.30 [4143]E(f331(f73(x41431,x41431,x41431,x41432),f331(f331(f187(x41431,x41431),x41433),x41432)),f331(f331(f187(x41431,x41431),f331(a116,x41433)),x41432))
% 204.30/204.30 [4161]E(f331(f331(f142(x41611),f331(f331(f23(a927),f331(f193(f928(x41611)),x41612)),x41613)),f331(f172(x41611),x41612)),f331(f172(x41611),f331(f331(f179(x41611),x41613),x41612)))
% 204.30/204.30 [4162]E(f331(f331(f179(x41621),f331(f331(f23(a927),f331(f193(f928(x41621)),x41622)),x41623)),f331(f172(x41621),x41622)),f331(f172(x41621),f331(f331(f142(x41621),x41623),x41622)))
% 204.30/204.30 [4164]E(f331(f331(f80(a927),f331(f169(a927),f331(f331(f158(x41641,a927),x41642),x41643))),f331(f193(f928(x41641)),x41643)),f159(x41641,x41642,x41643))
% 204.30/204.30 [4184]E(f331(f171(x41841),f331(f331(f331(f187(f928(x41841),f928(x41841)),x41842),f171(x41841)),x41843)),f331(f331(f331(f187(f928(x41841),f928(x41841)),f331(a116,x41842)),f171(x41841)),x41843))
% 204.30/204.30 [4198]P107(f331(f331(f239(a927),f331(f193(f928(x41981)),f331(f140(x41981,x41982),x41983))),f331(f193(f928(x41981)),x41983)))
% 204.30/204.30 [4216]E(f331(f331(f114(f935(f935(x42161,a923),a923)),f331(f312(x42161),x42162)),f331(f314(f935(x42161,a923),f935(x42161,a923),f331(f313(x42161),x42163)),f331(f312(x42161),x42162))),f331(f312(x42161),f331(f331(f313(x42161),x42163),x42162)))
% 204.30/204.30 [4235]P23(x42351,x42352,f331(f331(f313(f926(x42351)),f331(f331(f331(f91(x42351),x42353),a25),x42353)),f192(f935(f926(x42351),a923))))
% 204.30/204.30 [4249]P107(f331(f331(f239(a927),f331(f193(f928(x42491)),f181(x42491,x42492,x42493))),f331(f193(f928(x42491)),x42493)))
% 204.30/204.30 [4256]E(f331(f268(x42561,x42562),f331(f266(f934(x42561,x42562)),f331(f261(x42561,x42562,a923),x42563))),f331(f266(x42561),f331(f331(f8(f935(x42562,a923),a923,x42561),f87(x42562)),x42563)))
% 204.30/204.30 [4268]E(f331(f314(a927,a927,f331(f331(f7(a927,a927,a927),f80(a927)),x42681)),f307(a927,x42682,x42683)),f307(a927,f331(f331(f80(a927),x42682),x42681),f331(f331(f80(a927),x42683),x42681)))
% 204.30/204.30 [4282]E(f331(f314(a927,a927,f331(f331(f7(a927,a927,a927),f80(a927)),x42821)),f331(f306(a927,x42822),x42823)),f331(f306(a927,f331(f331(f80(a927),x42822),x42821)),f331(f331(f80(a927),x42823),x42821)))
% 204.30/204.30 [4300]E(f331(f331(f185(x43001,x43002),f331(f331(f158(f934(x43001,x43002),x43001),f255(x43001,x43002)),x43003)),f331(f331(f158(f934(x43001,x43002),x43002),f260(x43001,x43002)),x43003)),x43003)
% 204.30/204.30 [4305]E(f331(f331(f80(a927),f331(f331(f81(a927),x43051),f45(a927,f331(f331(f36(a927),x43052),x43051),x43053))),f45(a927,x43052,x43051)),f45(a927,x43052,f331(f331(f81(a927),x43051),x43053)))
% 204.30/204.30 [4318]E(f331(f331(f138(x43181),x43182),f331(f146(f928(x43181),f928(x43181),f138(x43181),f117(x43181)),x43183)),f331(f146(f928(x43181),f928(x43181),f138(x43181),x43182),x43183))
% 204.30/204.30 [4339]P107(f331(f331(f333(f934(x43391,x43391)),f331(f331(f256(x43391,x43391),x43392),x43392)),f331(f331(f187(f934(x43391,x43391),a923),f2(a927)),x43393)))
% 204.30/204.30 [4344]E(f331(f266(x43441),f331(f331(f8(f935(x43442,a923),a923,x43441),f87(x43442)),f331(f7(x43442,x43441,a923),x43443))),f331(f288(x43442,x43441),f331(f266(f934(x43442,x43441)),f331(f261(x43442,x43441,a923),x43443))))
% 204.30/204.30 [4361]E(f331(f331(f114(f935(x43611,a923)),f331(f331(f39(a927,f935(x43611,a923)),f307(a927,f78(a927),x43612)),x43613)),f331(x43613,f2(a927))),f331(f331(f39(a927,f935(x43611,a923)),f331(f305(a927),x43612)),x43613))
% 204.30/204.30 [4376]E(f331(f146(f928(x43761),f928(x43761),f138(x43761),f117(x43761)),f331(f331(f158(f928(x43761),f928(x43761)),f140(x43761,x43762)),x43763)),f331(f140(x43761,x43762),f331(f146(f928(x43761),f928(x43761),f138(x43761),f117(x43761)),x43763)))
% 204.30/204.30 [4380]E(f331(f260(f928(x43801),f928(x43801)),f170(x43801,x43802,x43803)),f331(f140(x43801,f331(f73(a923,a923,x43801,a326),x43802)),x43803))
% 204.30/204.30 [4398]E(f331(f331(f40(x43981,f935(x43982,a923)),f246(f935(x43981,a923))),f331(f331(f8(f935(x43982,a923),f935(x43982,a923),x43981),f266(x43982)),f331(f7(x43982,x43981,a923),x43983))),f331(f266(x43982),f331(f331(f8(f935(x43981,a923),a923,x43982),f88(x43981)),x43983)))
% 204.30/204.30 [4426]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f81(a1),x44261),f331(f331(f36(a1),x44262),x44261))),f45(a1,x44262,x44261))),x44263),f331(f331(f80(a1),x44262),x44263))
% 204.30/204.30 [4463]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f81(a1),f331(f331(f36(a1),x44631),x44632)),x44632)),f45(a1,x44631,x44632))),x44633),f331(f331(f80(a1),x44631),x44633))
% 204.30/204.30 [4489]E(f85(f934(x44891,x44892),f331(f261(x44891,x44892,a923),f331(f331(f8(f935(x44892,f934(x44891,x44892)),f935(x44892,a923),x44891),f331(f8(f934(x44891,x44892),a923,x44892),x44893)),f256(x44891,x44892)))),f85(f934(x44891,x44892),x44893))
% 204.30/204.30 [4490]E(f90(f934(x44901,x44902),f331(f261(x44901,x44902,a923),f331(f331(f8(f935(x44902,f934(x44901,x44902)),f935(x44902,a923),x44901),f331(f8(f934(x44901,x44902),a923,x44902),x44903)),f256(x44901,x44902)))),f90(f934(x44901,x44902),x44903))
% 204.30/204.30 [4517]P107(f331(f331(f239(f935(x45171,a923)),f37(f935(x45171,a923),f331(f331(f105(f935(f935(x45171,a923),a923)),x45172),x45173))),f331(f331(f105(f935(x45171,a923)),f37(f935(x45171,a923),x45172)),f37(f935(x45171,a923),x45173))))
% 204.30/204.30 [4518]E(f331(f172(x45181),f331(f331(f331(f187(f928(x45181),f928(x45181)),f331(f331(f23(a927),f331(f193(f928(x45181)),x45182)),f45(a927,x45183,f331(f193(f928(x45181)),x45182)))),f171(x45181)),x45182)),f331(f331(f331(f187(f928(x45181),f928(x45181)),x45183),f171(x45181)),f331(f172(x45181),x45182)))
% 204.30/204.30 [4555]P107(f331(f331(f239(a927),f331(f193(f928(x45551)),f331(f331(f142(x45551),f331(f193(f928(x45551)),f181(x45551,x45552,x45553))),x45553))),f331(f193(f928(x45551)),x45553)))
% 204.30/204.30 [4797]~P107(f331(f62(x47971,x47972,f192(f935(x47971,a923))),x47973))
% 204.30/204.30 [4803]~P107(f331(f331(f333(f934(x48031,x48031)),f331(f331(f256(x48031,x48031),x48032),x48033)),f157(x48031,f117(f935(x48031,a927)))))
% 204.30/204.30 [3865]E(f331(f193(f928(x38651)),f331(f331(f179(x38651),x38652),x38653)),f331(f331(f237(a927),f331(f193(f928(x38651)),x38653)),x38652))
% 204.30/204.30 [3866]E(f331(f193(f928(x38661)),f331(f331(f142(x38661),x38662),x38663)),f331(f331(f23(a927),f331(f193(f928(x38661)),x38663)),x38662))
% 204.30/204.30 [3892]E(f331(f193(f928(f928(x38921))),f55(x38921,x38922,x38923)),f331(f331(f248(a927),f331(f193(f928(x38921)),x38923)),x38922))
% 204.30/204.30 [3909]E(f331(f331(f36(a927),f331(f331(f36(a927),x39091),x39092)),x39093),f331(f331(f36(a927),x39091),f331(f331(f81(a927),x39092),x39093)))
% 204.30/204.30 [3910]E(f331(f331(f23(a927),f331(f331(f23(a927),x39101),x39102)),x39103),f331(f331(f23(a927),x39101),f331(f331(f80(a927),x39102),x39103)))
% 204.30/204.30 [3911]E(f331(f331(f81(a927),f331(f331(f81(a927),x39111),x39112)),x39113),f331(f331(f81(a927),x39111),f331(f331(f81(a927),x39112),x39113)))
% 204.30/204.30 [3912]E(f331(f331(f81(a1),f331(f331(f81(a1),x39121),x39122)),x39123),f331(f331(f81(a1),x39121),f331(f331(f81(a1),x39122),x39123)))
% 204.30/204.30 [3913]E(f331(f331(f80(a927),f331(f331(f80(a927),x39131),x39132)),x39133),f331(f331(f80(a927),x39131),f331(f331(f80(a927),x39132),x39133)))
% 204.30/204.30 [3914]E(f331(f331(f80(a1),f331(f331(f80(a1),x39141),x39142)),x39143),f331(f331(f80(a1),x39141),f331(f331(f80(a1),x39142),x39143)))
% 204.30/204.30 [3915]E(f331(f331(f248(a1),f331(f331(f248(a1),x39151),x39152)),x39153),f331(f331(f248(a1),x39151),f331(f331(f81(a927),x39152),x39153)))
% 204.30/204.30 [3934]E(f166(x39341,f331(f331(f155(f935(x39341,a923)),x39342),x39343)),f178(x39341,x39342,f166(x39341,x39343)))
% 204.30/204.30 [3978]E(f331(f331(f23(a927),f331(f331(f23(a927),x39781),x39782)),x39783),f331(f331(f23(a927),f331(f331(f23(a927),x39781),x39783)),x39782))
% 204.30/204.30 [3986]E(f331(f331(f105(f935(x39861,a923)),x39862),f331(f331(f23(f935(x39861,a923)),x39863),x39862)),f192(f935(x39861,a923)))
% 204.30/204.30 [3990]E(f331(f331(f158(a927,x39901),f331(f16(x39901,a927),x39902)),f143(a927,f331(f306(a927,f2(a927)),x39903))),f173(x39901,x39903,x39902))
% 204.30/204.30 [4028]E(f37(f935(x40281,a923),f331(f331(f313(f935(x40281,a923)),x40282),x40283)),f331(f331(f114(f935(x40281,a923)),x40282),f37(f935(x40281,a923),x40283)))
% 204.30/204.30 [4029]E(f38(f935(x40291,a923),f331(f331(f313(f935(x40291,a923)),x40292),x40293)),f331(f331(f105(f935(x40291,a923)),x40292),f38(f935(x40291,a923),x40293)))
% 204.30/204.30 [4031]E(f173(x40311,f331(f193(f928(x40311)),f331(f140(x40311,f331(a328,x40312)),x40313)),x40312),f331(f140(x40311,f331(a328,x40312)),x40313))
% 204.30/204.30 [4033]E(f331(f331(f23(a927),f331(f331(f81(a927),x40331),x40332)),f331(f331(f81(a927),x40333),x40332)),f331(f331(f81(a927),f331(f331(f23(a927),x40331),x40333)),x40332))
% 204.30/204.30 [4034]E(f331(f331(f80(a927),f331(f331(f81(a927),x40341),x40342)),f331(f331(f81(a927),x40343),x40342)),f331(f331(f81(a927),f331(f331(f80(a927),x40341),x40343)),x40342))
% 204.30/204.30 [4035]E(f331(f331(f23(a1),f331(f331(f81(a1),x40351),x40352)),f331(f331(f81(a1),x40353),x40352)),f331(f331(f81(a1),f331(f331(f23(a1),x40351),x40353)),x40352))
% 204.30/204.30 [4036]E(f331(f331(f80(a1),f331(f331(f81(a1),x40361),x40362)),f331(f331(f81(a1),x40363),x40362)),f331(f331(f81(a1),f331(f331(f80(a1),x40361),x40363)),x40362))
% 204.30/204.30 [4038]E(f331(f331(f237(a927),f331(f331(f23(a927),x40381),x40382)),f331(f331(f23(a927),x40383),x40382)),f331(f331(f23(a927),f331(f331(f237(a927),x40381),x40383)),x40382))
% 204.30/204.30 [4060]E(f331(f331(f105(f935(f928(x40601),a923)),f164(x40601,x40602)),f164(x40601,x40603)),f164(x40601,f331(f331(f105(f935(x40601,a923)),x40602),x40603)))
% 204.30/204.30 [4063]E(f331(f331(f114(f935(x40631,a923)),x40632),f331(f331(f114(f935(x40631,a923)),x40632),x40633)),f331(f331(f114(f935(x40631,a923)),x40632),x40633))
% 204.30/204.30 [4064]E(f331(f331(f114(f935(x40641,a923)),x40642),f331(f331(f23(f935(x40641,a923)),x40643),x40642)),f331(f331(f114(f935(x40641,a923)),x40642),x40643))
% 204.30/204.30 [4065]E(f331(f331(f105(f935(x40651,a923)),x40652),f331(f331(f105(f935(x40651,a923)),x40652),x40653)),f331(f331(f105(f935(x40651,a923)),x40652),x40653))
% 204.30/204.30 [4077]E(f331(f331(f293(x40771,x40772,x40772),x40773),f311(x40772,f192(f935(f934(x40772,x40772),a923)))),x40773)
% 204.30/204.30 [4080]E(f331(f331(f114(f935(x40801,a923)),f331(f331(f313(x40801),x40802),f192(f935(x40801,a923)))),x40803),f331(f331(f313(x40801),x40802),x40803))
% 204.30/204.30 [4099]E(f331(f331(f23(a927),f331(f331(f23(a927),f331(a116,x40991)),x40992)),f331(a116,x40993)),f331(f331(f23(a927),f331(f331(f23(a927),x40991),x40992)),x40993))
% 204.30/204.30 [4127]E(f331(f331(f105(f935(f935(x41271,a923),a923)),f331(f312(x41271),x41272)),f331(f312(x41271),x41273)),f331(f312(x41271),f331(f331(f105(f935(x41271,a923)),x41272),x41273)))
% 204.30/204.30 [4130]E(f331(f331(f114(f935(x41301,a923)),f331(f79(f935(x41301,a923)),x41302)),x41303),f331(f79(f935(x41301,a923)),f331(f331(f23(f935(x41301,a923)),x41302),x41303)))
% 204.30/204.30 [4140]E(f331(f331(f313(x41401),x41402),f331(f331(f23(f935(x41401,a923)),x41403),f331(f331(f313(x41401),x41402),f192(f935(x41401,a923))))),f331(f331(f313(x41401),x41402),x41403))
% 204.30/204.30 [4150]P107(f331(f331(f239(f935(x41501,a923)),x41502),f331(f331(f114(f935(x41501,a923)),x41503),x41502)))
% 204.30/204.30 [4151]P107(f331(f331(f239(f935(x41511,a923)),x41512),f331(f331(f114(f935(x41511,a923)),x41512),x41513)))
% 204.30/204.30 [4155]E(f331(f331(f105(f935(x41551,a923)),f331(f79(f935(x41551,a923)),x41552)),f331(f79(f935(x41551,a923)),x41553)),f331(f79(f935(x41551,a923)),f331(f331(f114(f935(x41551,a923)),x41552),x41553)))
% 204.30/204.30 [4156]E(f331(f331(f114(f935(x41561,a923)),f331(f79(f935(x41561,a923)),x41562)),f331(f79(f935(x41561,a923)),x41563)),f331(f79(f935(x41561,a923)),f331(f331(f105(f935(x41561,a923)),x41562),x41563)))
% 204.30/204.30 [4170]P107(f331(f331(f239(f935(x41701,a923)),f331(f176(x41701),x41702)),f331(f176(x41701),f331(f331(f155(x41701),x41703),x41702))))
% 204.30/204.30 [4182]E(f331(f331(f114(f935(x41821,a923)),f331(f331(f23(f935(x41821,a923)),x41822),x41823)),f331(f331(f105(f935(x41821,a923)),x41822),x41823)),x41822)
% 204.30/204.30 [4236]E(f331(f331(f6(x42361,a1),f331(f331(f8(a927,a1,x42361),f104(a1)),x42362)),x42363),f331(f104(a1),f331(f331(f6(x42361,a927),x42362),x42363)))
% 204.30/204.30 [4237]E(f331(f331(f9(x42371,a1),f331(f331(f8(a927,a1,x42371),f104(a1)),x42372)),x42373),f331(f104(a1),f331(f331(f9(x42371,a927),x42372),x42373)))
% 204.30/204.30 [4284]E(f331(f331(f138(x42841),f181(x42841,x42842,x42843)),f331(f331(f142(x42841),f331(f193(f928(x42841)),f181(x42841,x42842,x42843))),x42843)),x42843)
% 204.30/204.30 [4288]E(f331(f79(f935(f934(x42881,x42882),a923)),f331(f331(f258(x42881,x42882),x42883),f331(f16(f935(x42882,a923),x42881),f246(f935(x42882,a923))))),f331(f331(f258(x42881,x42882),f331(f79(f935(x42881,a923)),x42883)),f331(f16(f935(x42882,a923),x42881),f246(f935(x42882,a923)))))
% 204.30/204.30 [4289]E(f331(f79(f935(f934(x42891,x42892),a923)),f331(f331(f258(x42891,x42892),f246(f935(x42891,a923))),f331(f16(f935(x42892,a923),x42891),x42893))),f331(f331(f258(x42891,x42892),f246(f935(x42891,a923))),f331(f16(f935(x42892,a923),x42891),f331(f79(f935(x42892,a923)),x42893))))
% 204.30/204.30 [4340]E(f331(f331(f39(f935(x43401,a923),f935(x43401,a923)),x43402),f331(f331(f7(f935(x43401,a923),f935(x43401,a923),f935(x43401,a923)),f105(f935(x43401,a923))),x43403)),f331(f331(f105(f935(x43401,a923)),f37(f935(x43401,a923),x43402)),x43403))
% 204.30/204.30 [4346]E(f331(f146(f928(x43461),f928(x43461),f138(x43461),f117(x43461)),f331(f331(f155(f928(x43461)),x43462),x43463)),f331(f331(f138(x43461),x43462),f331(f146(f928(x43461),f928(x43461),f138(x43461),f117(x43461)),x43463)))
% 204.30/204.30 [4367]E(f331(f331(f313(f935(x43671,a923)),f331(f289(x43671,x43671,x43672),f331(f331(f313(x43671),x43673),f192(f935(x43671,a923))))),f192(f935(f935(x43671,a923),a923))),f331(f331(f60(x43671),f331(f331(f313(x43671),x43673),f192(f935(x43671,a923)))),x43672))
% 204.30/204.30 [4377]E(f331(f331(f80(a927),f331(f331(f81(a927),x43771),f331(f331(f36(a927),x43772),x43773))),f331(f331(f36(a927),f331(f331(f81(a927),x43771),f45(a927,x43772,x43773))),x43773)),f331(f331(f36(a927),f331(f331(f81(a927),x43771),x43772)),x43773))
% 204.30/204.30 [4378]E(f331(f331(f80(a1),f331(f331(f81(a1),x43781),f331(f331(f36(a1),x43782),x43783))),f331(f331(f36(a1),f331(f331(f81(a1),x43781),f45(a1,x43782,x43783))),x43783)),f331(f331(f36(a1),f331(f331(f81(a1),x43781),x43782)),x43783))
% 204.30/204.30 [4411]E(f331(f331(f23(f935(x44111,a923)),f331(f176(x44111),x44112)),f331(f331(f313(x44111),x44113),f192(f935(x44111,a923)))),f331(f176(x44111),f331(f140(x44111,f331(f331(f8(a923,a923,x44111),a326),f331(a328,x44113))),x44112)))
% 204.30/204.30 [4461]E(f331(f331(f138(x44611),f331(f146(f928(x44611),f928(x44611),f138(x44611),f117(x44611)),x44612)),f331(f146(f928(x44611),f928(x44611),f138(x44611),f117(x44611)),x44613)),f331(f146(f928(x44611),f928(x44611),f138(x44611),f117(x44611)),f331(f331(f138(f928(x44611)),x44612),x44613)))
% 204.30/204.30 [4464]E(f331(f331(f256(f928(x44641),f928(x44641)),f331(f140(x44641,x44642),x44643)),f331(f140(x44641,f331(f73(a923,a923,x44641,a326),x44642)),x44643)),f170(x44641,x44642,x44643))
% 204.30/204.30 [4467]E(f331(f331(f80(a927),f331(f331(f80(a927),f331(f331(f36(a927),x44671),x44672)),f331(f331(f36(a927),x44673),x44672))),f331(f331(f36(a927),f331(f331(f80(a927),f45(a927,x44671,x44672)),f45(a927,x44673,x44672))),x44672)),f331(f331(f36(a927),f331(f331(f80(a927),x44671),x44673)),x44672))
% 204.30/204.30 [4468]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f36(a1),x44681),x44682)),f331(f331(f36(a1),x44683),x44682))),f331(f331(f36(a1),f331(f331(f80(a1),f45(a1,x44681,x44682)),f45(a1,x44683,x44682))),x44682)),f331(f331(f36(a1),f331(f331(f80(a1),x44681),x44683)),x44682))
% 204.30/204.30 [4521]E(f331(f331(f105(f935(f928(x45211),a923)),f331(f331(f7(f928(x45211),f935(f928(x45211),a923),a923),f333(f928(x45211))),f165(x45211,x45212))),f331(f331(f7(f928(x45211),f935(f928(x45211),a923),a923),f333(f928(x45211))),f165(x45211,x45213))),f164(x45211,f331(f331(f105(f935(x45211,a923)),f331(f331(f7(x45211,f935(x45211,a923),a923),f333(x45211)),x45212)),f331(f331(f7(x45211,f935(x45211,a923),a923),f333(x45211)),x45213))))
% 204.30/204.30 [4533]E(f331(f266(x45331),f331(f331(f18(x45331,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45331),a330),f331(f331(f7(x45331,x45331,a923),a328),x45332))),f331(f331(f7(x45331,f935(x45331,a923),a923),f333(x45331)),x45333))),f331(f331(f313(x45331),x45332),x45333))
% 204.30/204.30 [4553]E(f331(f331(f86(f928(f928(x45531)),f928(f928(x45531))),f54(x45531,x45532)),f331(f331(f18(f928(f928(x45531)),f928(f928(x45531)),f928(f928(x45531))),f331(f331(f8(f928(f928(x45531)),f935(f928(f928(x45531)),f928(f928(x45531))),f928(f928(x45531))),f138(f928(x45531))),f331(f158(f928(x45531),f928(x45531)),f331(f155(x45531),x45533)))),f5(f928(f928(x45531))))),f54(x45531,f331(f331(f155(x45531),x45533),x45532)))
% 204.30/204.30 [4556]E(f331(f266(x45561),f331(f331(f18(x45561,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45561),a330),f331(f331(f7(x45561,f935(x45561,a923),a923),f333(x45561)),x45562))),f331(f331(f7(x45561,f935(x45561,a923),a923),f333(x45561)),x45563))),f331(f331(f114(f935(x45561,a923)),x45562),x45563))
% 204.30/204.30 [4557]E(f331(f266(x45571),f331(f331(f18(x45571,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45571),a329),f331(f331(f7(x45571,f935(x45571,a923),a923),f333(x45571)),x45572))),f331(f331(f7(x45571,f935(x45571,a923),a923),f333(x45571)),x45573))),f331(f331(f105(f935(x45571,a923)),x45572),x45573))
% 204.30/204.30 [4646]E(f331(f331(f39(x46461,f935(f935(x46461,a923),a923)),x46462),f331(f331(f7(x46461,f935(f935(x46461,a923),a923),f935(f935(x46461,a923),a923)),f331(f331(f8(f935(x46461,a923),f935(f935(f935(x46461,a923),a923),f935(f935(x46461,a923),a923)),x46461),f313(f935(x46461,a923))),f331(f331(f8(f935(x46461,a923),f935(x46461,a923),x46461),f289(x46461,x46461,x46463)),f331(f331(f7(x46461,f935(x46461,a923),f935(x46461,a923)),f313(x46461)),f192(f935(x46461,a923)))))),f192(f935(f935(x46461,a923),a923)))),f331(f331(f60(x46461),x46462),x46463))
% 204.30/204.30 [4648]E(f331(f331(f206(x46481),f331(f331(f81(a1),f331(f331(f73(f934(a1,a1),a1,x46481,f255(a1,a1)),f217(x46481)),x46482)),f331(f331(f73(f934(a1,a1),a1,x46481,f255(a1,a1)),f217(x46481)),x46483))),f331(f331(f81(a1),f331(f331(f73(f934(a1,a1),a1,x46481,f260(a1,a1)),f217(x46481)),x46482)),f331(f331(f73(f934(a1,a1),a1,x46481,f260(a1,a1)),f217(x46481)),x46483))),f233(x46481,x46482,x46483))
% 204.30/204.30 [4651]E(f331(f266(f928(x46511)),f331(f331(f18(f928(x46511),a923,a923),f331(f331(f8(a923,f935(a923,a923),f928(x46511)),a329),f331(f331(f7(f928(x46511),a927,a923),f331(f331(f8(a927,f935(a927,a923),f928(x46511)),a328),f193(f928(x46511)))),x46512))),f331(f331(f7(f928(x46511),f935(x46511,a923),a923),f331(f331(f8(f935(x46511,a923),f935(f935(x46511,a923),a923),f928(x46511)),f239(f935(x46511,a923))),f176(x46511))),f331(f176(x46511),x46513)))),f331(f176(f928(x46511)),f55(x46511,x46512,x46513)))
% 204.30/204.30 [4051]E(f45(a927,f331(f331(f80(a927),f331(f331(f81(a927),x40511),x40512)),x40513),x40512),f45(a927,x40513,x40512))
% 204.30/204.30 [4098]E(f143(a927,f331(f306(a927,f331(f331(f80(a927),x40981),x40982)),x40983)),f331(f331(f142(a927),x40982),f143(a927,f331(f306(a927,x40981),x40983))))
% 204.30/204.30 [4139]E(f331(f331(f80(a1),f331(f104(a1),x41391)),f331(f331(f80(a1),f331(f104(a1),x41392)),x41393)),f331(f331(f80(a1),f331(f104(a1),f331(f331(f80(a927),x41391),x41392))),x41393))
% 204.30/204.30 [4146]E(f331(f331(f114(f935(x41461,a923)),f331(f331(f23(f935(x41461,a923)),x41462),x41463)),x41463),f331(f331(f114(f935(x41461,a923)),x41462),x41463))
% 204.30/204.30 [4147]E(f331(f331(f23(f935(x41471,a923)),f331(f331(f23(f935(x41471,a923)),x41472),x41473)),x41473),f331(f331(f23(f935(x41471,a923)),x41472),x41473))
% 204.30/204.30 [4171]E(f331(f331(f293(x41711,x41711,x41712),f311(x41711,f192(f935(f934(x41711,x41711),a923)))),x41713),x41713)
% 204.30/204.30 [4179]E(f331(f331(f114(f935(x41791,a923)),f331(f285(x41791),x41792)),f331(f285(x41791),x41793)),f331(f285(x41791),f331(f331(f114(f935(f934(x41791,x41791),a923)),x41792),x41793)))
% 204.30/204.30 [4189]E(f270(x41891,f331(f331(f155(f934(a103,x41891)),f331(f331(f256(a103,x41891),f2(a103)),x41892)),x41893)),f270(x41891,x41893))
% 204.30/204.30 [4191]E(f331(f331(f114(f935(x41911,a923)),f37(f935(x41911,a923),x41912)),f37(f935(x41911,a923),x41913)),f37(f935(x41911,a923),f331(f331(f114(f935(f935(x41911,a923),a923)),x41912),x41913)))
% 204.30/204.30 [4192]E(f331(f331(f105(f935(x41921,a923)),f38(f935(x41921,a923),x41922)),f38(f935(x41921,a923),x41923)),f38(f935(x41921,a923),f331(f331(f114(f935(f935(x41921,a923),a923)),x41922),x41923)))
% 204.30/204.30 [4231]E(f331(f331(f293(x42311,x42311,x42311),f331(f331(f187(f934(x42311,x42311),a923),x42312),x42313)),x42313),f331(f331(f187(f934(x42311,x42311),a923),f331(a116,x42312)),x42313))
% 204.30/204.30 [4276]P107(f331(f331(f239(f935(x42761,a923)),f331(f331(f23(f935(x42761,a923)),x42762),x42763)),x42762))
% 204.30/204.30 [4277]P107(f331(f331(f239(f935(x42771,a923)),f331(f331(f105(f935(x42771,a923)),x42772),x42773)),x42773))
% 204.30/204.30 [4278]P107(f331(f331(f239(f935(x42781,a923)),f331(f331(f105(f935(x42781,a923)),x42782),x42783)),x42782))
% 204.30/204.30 [4302]E(f311(x43021,f331(f331(f114(f935(f934(x43021,x43021),a923)),f311(x43021,x43022)),f311(x43021,x43023))),f311(x43021,f331(f331(f114(f935(f934(x43021,x43021),a923)),x43022),x43023)))
% 204.30/204.30 [4306]E(f37(f935(x43061,a923),f331(f331(f313(f935(x43061,a923)),x43062),f331(f331(f313(f935(x43061,a923)),x43063),f192(f935(f935(x43061,a923),a923))))),f331(f331(f114(f935(x43061,a923)),x43062),x43063))
% 204.30/204.30 [4307]E(f38(f935(x43071,a923),f331(f331(f313(f935(x43071,a923)),x43072),f331(f331(f313(f935(x43071,a923)),x43073),f192(f935(f935(x43071,a923),a923))))),f331(f331(f105(f935(x43071,a923)),x43072),x43073))
% 204.30/204.30 [4312]E(f331(f331(f293(x43121,x43121,x43121),f331(f331(f187(f934(x43121,x43121),a923),x43122),x43123)),x43123),f331(f331(f293(x43121,x43121,x43121),x43123),f331(f331(f187(f934(x43121,x43121),a923),x43122),x43123)))
% 204.30/204.30 [4381]E(f331(f331(f114(f935(x43811,a923)),f331(f266(x43811),f331(f331(f7(x43811,x43811,a923),a328),x43812))),x43813),f331(f331(f313(x43811),x43812),x43813))
% 204.30/204.30 [4383]E(f331(a108,f331(f331(f6(x43831,a1),f331(f331(f8(a927,a1,x43831),f104(a1)),x43832)),x43833)),f331(f331(f6(x43831,a927),x43832),x43833))
% 204.30/204.30 [4384]E(f331(a108,f331(f331(f9(x43841,a1),f331(f331(f8(a927,a1,x43841),f104(a1)),x43842)),x43843)),f331(f331(f9(x43841,a927),x43842),x43843))
% 204.30/204.30 [4458]E(f331(f160(f928(x44581),x44581,f331(f175(x44581),x44582),f331(f16(f935(f928(x44581),f928(x44581)),x44581),f331(f331(f7(f928(x44581),f928(x44581),f928(x44581)),f138(x44581)),x44582))),x44583),f331(f175(x44581),f331(f331(f138(x44581),x44583),x44582)))
% 204.30/204.30 [4486]P107(f331(f331(f239(f935(f935(x44861,a923),a923)),f331(f331(f114(f935(f935(x44861,a923),a923)),f331(f312(x44861),x44862)),f331(f312(x44861),x44863))),f331(f312(x44861),f331(f331(f114(f935(x44861,a923)),x44862),x44863))))
% 204.30/204.30 [4575]E(f331(f266(x45751),f331(f331(f18(x45751,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45751),a329),f331(f331(f7(x45751,f935(x45751,a923),a923),f333(x45751)),x45752))),f331(f331(f8(a923,a923,x45751),a326),f331(f331(f7(x45751,f935(x45751,a923),a923),f333(x45751)),x45753)))),f331(f331(f23(f935(x45751,a923)),x45752),x45753))
% 204.30/204.30 [4599]E(f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,a927,a923),f240(a927)),f331(f193(f928(x45991)),x45992)))),f331(f331(f8(x45991,a923,a927),x45993),f331(f168(x45991),x45992))))),f331(f193(f928(x45991)),f331(f140(x45991,x45993),x45992)))
% 204.30/204.30 [4601]E(f331(f193(f928(x46011)),f180(x46011,x46012,x46013)),f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,a927,a923),f240(a927)),f331(f193(f928(x46011)),x46012)))),f331(f331(f7(a927,f935(a927,a923),a923),f333(a927)),x46013)))))
% 204.30/204.30 [4697]E(f331(f331(f105(f935(f934(f928(x46971),f928(x46971)),a923)),f331(f314(f934(f934(x46971,f928(x46971)),f934(x46971,f928(x46971))),f934(f928(x46971),f928(x46971)),f262(f934(x46971,f928(x46971)),f928(x46971),f934(x46971,f928(x46971)),f928(x46971),f331(f261(x46971,f928(x46971),f928(x46971)),f155(x46971)),f331(f261(x46971,f928(x46971),f928(x46971)),f155(x46971)))),f323(x46971,f928(x46971),x46972,f331(f147(x46971,x46972),x46973)))),f331(f266(f934(f928(x46971),f928(x46971))),f331(f261(f928(x46971),f928(x46971),a923),f331(f331(f7(f928(x46971),f935(f928(x46971),a923),f935(f928(x46971),a923)),f331(f331(f8(f935(a923,a923),f935(f935(f928(x46971),a923),f935(f928(x46971),a923)),f928(x46971)),f8(a923,a923,f928(x46971))),f331(f331(f8(a923,f935(a923,a923),f928(x46971)),a329),f331(f331(f7(f928(x46971),a927,a923),f331(f331(f8(a927,f935(a927,a923),f928(x46971)),a328),f193(f928(x46971)))),f331(a116,x46973))))),f331(f331(f7(f928(x46971),a927,a923),f331(f331(f8(a927,f935(a927,a923),f928(x46971)),a328),f193(f928(x46971)))),f331(a116,x46973)))))),f331(f147(x46971,x46972),f331(a116,x46973)))
% 204.30/204.30 [4193]E(f45(a927,f331(a116,f331(f331(f80(a927),f331(f331(f81(a927),x41931),x41932)),x41933)),x41932),f45(a927,f331(a116,x41933),x41932))
% 204.30/204.30 [4444]E(f331(f266(x44441),f331(f331(f18(x44441,a923,a923),f331(f331(f8(a923,f935(a923,a923),x44441),a329),x44442)),x44443)),f331(f331(f105(f935(x44441,a923)),f331(f266(x44441),x44442)),f331(f266(x44441),x44443)))
% 204.30/204.30 [4445]E(f331(f266(x44451),f331(f331(f18(x44451,a923,a923),f331(f331(f8(a923,f935(a923,a923),x44451),a330),x44452)),x44453)),f331(f331(f114(f935(x44451,a923)),f331(f266(x44451),x44452)),f331(f266(x44451),x44453)))
% 204.30/204.30 [4447]E(f331(f331(f138(x44471),f331(f331(f142(x44471),f45(a927,x44472,f331(f193(f928(x44471)),x44473))),x44473)),f331(f331(f179(x44471),f45(a927,x44472,f331(f193(f928(x44471)),x44473))),x44473)),f331(f331(f331(f187(f928(x44471),f928(x44471)),x44472),f171(x44471)),x44473))
% 204.30/204.30 [4453]E(f331(f266(x44531),f331(f331(f18(x44531,a923,a923),f331(f331(f8(a923,f935(a923,a923),x44531),a334),x44532)),x44533)),f331(f331(f114(f935(x44531,a923)),f331(f79(f935(x44531,a923)),f331(f266(x44531),x44532))),f331(f266(x44531),x44533)))
% 204.30/204.30 [4469]E(f331(f331(f80(a927),f331(f193(f928(x44691)),f331(f140(x44691,x44692),x44693))),f331(f193(f928(x44691)),f331(f140(x44691,f331(f331(f8(a923,a923,x44691),a326),x44692)),x44693))),f331(f193(f928(x44691)),x44693))
% 204.30/204.30 [4492]P107(f331(f331(f239(f935(x44921,a923)),f331(f331(f114(f935(x44921,a923)),f38(f935(x44921,a923),x44922)),f38(f935(x44921,a923),x44923))),f38(f935(x44921,a923),f331(f331(f105(f935(f935(x44921,a923),a923)),x44922),x44923))))
% 204.30/204.30 [4506]E(f331(f176(x45061),f331(f140(x45061,f331(f331(f8(a923,a923,x45061),a326),f331(f331(f7(x45061,x45061,a923),a328),x45062))),x45063)),f331(f331(f23(f935(x45061,a923)),f331(f176(x45061),x45063)),f331(f331(f313(x45061),x45062),f192(f935(x45061,a923)))))
% 204.30/204.30 [4515]P107(f331(f331(f239(f935(f934(x45151,x45151),a923)),f331(f331(f114(f935(f934(x45151,x45151),a923)),f311(x45151,x45152)),f311(x45151,x45153))),f311(x45151,f331(f331(f114(f935(f934(x45151,x45151),a923)),x45152),x45153))))
% 204.30/204.30 [4538]E(f331(f331(f81(a927),f331(a116,f331(a116,f2(a927)))),f331(f331(f6(a927,a927),f331(f331(f8(a927,a927,a927),f331(f80(a927),x45381)),f331(f331(f7(a927,a927,a927),f81(a927)),x45382))),f331(f286(a927),x45383))),f331(f331(f81(a927),x45383),f331(f331(f80(a927),x45381),f331(f331(f80(a927),x45381),f331(f331(f81(a927),f331(f331(f23(a927),x45383),f78(a927))),x45382)))))
% 204.30/204.30 [4548]E(f331(f266(x45481),f331(f331(f18(x45481,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45481),a329),f331(f331(f7(x45481,f935(x45481,a923),a923),f333(x45481)),f331(f176(x45481),x45482)))),x45483)),f331(f176(x45481),f331(f140(x45481,x45483),x45482)))
% 204.30/204.30 [4696]E(f331(f266(x46961),f331(f331(f8(f935(a927,a923),a923,x46961),f87(a927)),f331(f331(f7(x46961,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),x46961),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),x46961),f331(f8(a923,f935(a923,a923),a927),a329)),f331(f331(f7(x46961,f935(a927,x46961),f935(a927,a923)),f331(f331(f8(f935(x46961,a923),f935(f935(a927,x46961),f935(a927,a923)),x46961),f8(x46961,a923,a927)),a328)),f331(f168(x46961),x46962))))),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,a927,a923),f240(a927)),f331(f193(f928(x46961)),x46962)))),f331(f331(f7(a927,f935(a927,a923),a923),f333(a927)),x46963))))),f331(f176(x46961),f180(x46961,x46962,x46963)))
% 204.30/204.30 [4588]E(f331(f266(x45881),f331(f331(f18(x45881,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45881),a334),f331(f331(f8(a923,a923,x45881),a326),f331(f331(f7(x45881,x45881,a923),a328),x45882)))),x45883)),f331(f331(f313(x45881),x45882),f331(f266(x45881),x45883)))
% 204.30/204.30 [4620]E(f331(f331(f158(f934(x46201,a927),x46201),f255(x46201,a927)),f331(f140(f934(x46201,a927),f331(f331(f7(f934(x46201,a927),f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),f934(x46201,a927)),f333(a927)),f260(x46201,a927))),x46202)),f331(f331(f185(x46201,a927),x46203),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(x46201)),x46203)))))),f180(x46201,x46203,x46202))
% 204.30/204.30 [4647]E(f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f6(a927,a1),f331(f331(f8(a1,a1,a927),f331(f80(a1),x46471)),f331(f331(f7(a927,a1,a1),f331(f331(f8(a1,f935(a1,a1),a927),f81(a1)),f104(a1))),x46472))),f331(f286(a927),x46473))),f331(f331(f81(a1),f331(f104(a1),x46473)),f331(f331(f80(a1),x46471),f331(f331(f80(a1),x46471),f331(f331(f81(a1),f331(f104(a1),f331(f331(f23(a927),x46473),f78(a927)))),x46472)))))
% 204.30/204.30 [4689]E(f331(f266(f934(x46891,x46892)),f331(f261(x46891,x46892,a923),f331(f331(f7(x46891,f935(f934(x46892,x46891),a923),f935(x46892,a923)),f331(f331(f8(f935(x46892,f935(f935(f934(x46892,x46891),a923),a923)),f935(f935(f934(x46892,x46891),a923),f935(x46892,a923)),x46891),f7(x46892,f935(f934(x46892,x46891),a923),a923)),f331(f331(f8(f935(x46892,f934(x46892,x46891)),f935(x46892,f935(f935(f934(x46892,x46891),a923),a923)),x46891),f331(f8(f934(x46892,x46891),f935(f935(f934(x46892,x46891),a923),a923),x46892),f333(f934(x46892,x46891)))),f331(f7(x46892,x46891,f934(x46892,x46891)),f256(x46892,x46891))))),x46893))),f331(f290(x46892,x46891),x46893))
% 204.30/204.30 [4715]E(f331(f266(f928(x47151)),f331(f331(f8(f935(x47151,a923),a923,f928(x47151)),f87(x47151)),f331(f331(f8(f935(x47151,f935(f928(x47151),a923)),f935(x47151,a923),f928(x47151)),f331(f8(f935(f928(x47151),a923),a923,x47151),f87(f928(x47151)))),f331(f331(f7(f928(x47151),f935(x47151,f935(f928(x47151),a923)),f935(x47151,f935(f928(x47151),a923))),f331(f331(f8(f935(x47151,f935(f935(f928(x47151),a923),f935(f928(x47151),a923))),f935(f935(x47151,f935(f928(x47151),a923)),f935(x47151,f935(f928(x47151),a923))),f928(x47151)),f18(x47151,f935(f928(x47151),a923),f935(f928(x47151),a923))),f331(f331(f8(f935(x47151,f935(f928(x47151),f935(a923,a923))),f935(x47151,f935(f935(f928(x47151),a923),f935(f928(x47151),a923))),f928(x47151)),f331(f8(f935(f928(x47151),f935(a923,a923)),f935(f935(f928(x47151),a923),f935(f928(x47151),a923)),x47151),f18(f928(x47151),a923,a923))),f331(f331(f8(f935(x47151,f935(f928(x47151),a923)),f935(x47151,f935(f928(x47151),f935(a923,a923))),f928(x47151)),f331(f8(f935(f928(x47151),a923),f935(f928(x47151),f935(a923,a923)),x47151),f331(f8(a923,f935(a923,a923),f928(x47151)),a329))),f331(f331(f7(f928(x47151),f935(x47151,f935(f928(x47151),f928(x47151))),f935(x47151,f935(f928(x47151),a923))),f331(f331(f8(f935(f935(f928(x47151),f928(x47151)),f935(f928(x47151),a923)),f935(f935(x47151,f935(f928(x47151),f928(x47151))),f935(x47151,f935(f928(x47151),a923))),f928(x47151)),f8(f935(f928(x47151),f928(x47151)),f935(f928(x47151),a923),x47151)),f331(f331(f8(f935(f928(x47151),a923),f935(f935(f928(x47151),f928(x47151)),f935(f928(x47151),a923)),f928(x47151)),f8(f928(x47151),a923,f928(x47151))),a328))),f155(x47151)))))),f331(f331(f7(x47151,f935(f928(x47151),a923),f935(f928(x47151),a923)),f331(f331(f8(f935(a923,a923),f935(f935(f928(x47151),a923),f935(f928(x47151),a923)),x47151),f8(a923,a923,f928(x47151))),f331(f331(f8(a923,f935(a923,a923),x47151),a329),f331(f331(f7(x47151,f935(x47151,a923),a923),f333(x47151)),x47152)))),f331(f331(f7(f928(x47151),f935(f928(x47151),a923),a923),f333(f928(x47151))),x47153)))))),f178(x47151,x47152,x47153))
% 204.30/204.30 [4707]E(f331(f331(f86(a1,f934(a1,a1)),f331(f331(f23(a1),x47071),x47072)),f331(f331(f7(a1,f934(a1,a1),f934(a1,a1)),f331(f331(f18(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f331(f331(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f100(f934(a1,a1))),f331(f239(a1),f2(a1)))),f331(f256(a1,a1),f331(f331(f80(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x47073)),f78(a1))))),f331(f331(f256(a1,a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x47073)),x47071))),f331(f43(x47072),f331(f331(f256(a1,a1),x47073),x47071)))
% 204.30/204.30 [4735]~E(f29(x47351,x47352),f30(x47353,x47354))
% 204.30/204.30 [3749]E(f120(x37491,f331(x37492,x37493),f331(x37494,x37493)),f331(f208(x37491,x37492,x37494),x37493))
% 204.30/204.30 [3802]E(f331(f331(f249(x38021,x38022,x38023),x38024),f2(a927)),x38022)
% 204.30/204.30 [3842]E(f189(x38421,x38422,x38423,f331(a116,x38424)),f331(x38423,x38424))
% 204.30/204.30 [3884]E(f174(x38841,x38842,f174(x38841,x38843,x38844)),f174(x38841,x38843,f174(x38841,x38842,x38844)))
% 204.30/204.30 [3885]E(f130(x38851,x38852,f120(x38851,x38853,x38854)),f120(x38851,f130(x38851,x38852,x38853),x38854))
% 204.30/204.30 [4019]E(f331(f160(x40191,x40192,x40193,x40194),f117(x40192)),x40193)
% 204.30/204.30 [4020]E(f331(f146(x40201,x40202,x40203,x40204),f117(x40202)),x40204)
% 204.30/204.30 [4057]E(f331(f193(f932(x40571,x40572)),f225(x40571,x40572,x40573,x40574)),f2(a927))
% 204.30/204.30 [4082]E(f331(f261(x40821,x40822,x40823),f259(x40821,x40822,x40823,x40824)),x40824)
% 204.30/204.30 [4126]E(f331(f331(f138(x41261),f173(x41261,x41262,x41263)),f173(x41261,x41264,x41263)),f331(f331(f138(x41261),f173(x41261,x41264,x41263)),f173(x41261,x41262,x41263)))
% 204.30/204.30 [4214]E(f331(f331(f263(x42141,x42142,x42143,f934(x42142,x42143)),x42144),f256(x42142,x42143)),x42144)
% 204.30/204.30 [4224]E(f131(x42241,x42242,x42243,x42244,f123(x42242)),x42243)
% 204.30/204.30 [4230]E(f75(x42301,x42302,x42303,x42304,f331(x42303,x42304)),x42303)
% 204.30/204.30 [4499]P43(x44991,x44992,x44993,x44994,f192(f935(x44991,a923)),x44994)
% 204.30/204.30 [3549]E(f331(f331(f16(x35491,x35492),x35493),x35494),x35493)
% 204.30/204.30 [3832]E(f174(x38321,x38322,f331(f140(x38321,x38323),x38324)),f331(f140(x38321,x38323),f174(x38321,x38322,x38324)))
% 204.30/204.30 [3867]E(f331(f331(f64(x38671,x38672,x38673),x38674),f192(f935(x38671,a923))),x38674)
% 204.30/204.30 [3891]E(f331(f331(f168(x38911),f331(f331(f155(x38911),x38912),x38913)),f331(a116,x38914)),f331(f331(f168(x38911),x38913),x38914))
% 204.30/204.30 [3958]E(f331(f331(x39581,x39582),f331(f188(x39583,x39584,x39581),x39582)),f331(f188(x39583,x39584,x39581),f331(a116,x39582)))
% 204.30/204.30 [4000]E(f259(x40001,x40002,x40003,f331(f261(x40001,x40002,x40003),x40004)),x40004)
% 204.30/204.30 [4055]E(f331(f331(f163(x40551,f331(f331(f155(x40551),x40552),x40553)),f2(a927)),x40554),f331(f331(f155(x40551),x40554),x40553))
% 204.30/204.30 [4067]E(f331(f331(f39(f935(x40671,a923),f935(x40672,a923)),x40673),f314(x40671,x40672,x40674)),f331(f314(x40671,x40672,x40674),f37(f935(x40671,a923),x40673)))
% 204.30/204.30 [4068]E(f331(f331(f39(f935(x40681,a923),f935(x40682,a923)),x40683),f315(x40682,x40681,x40684)),f331(f315(x40682,x40681,x40684),f37(f935(x40681,a923),x40683)))
% 204.30/204.30 [4093]E(f124(x40931,f134(x40932,f929(x40931),x40933,x40934)),f331(f122(x40932,x40931,x40934),x40933))
% 204.30/204.30 [4167]E(f331(f129(x41671,x41672),f130(x41671,x41673,x41674)),f331(f331(f80(a927),f331(f331(f80(a927),f331(x41672,x41673)),f331(f129(x41671,x41672),x41674))),f331(a116,f2(a927))))
% 204.30/204.30 [4188]E(f331(f146(x41881,x41882,f331(f7(x41882,x41881,x41881),x41883),x41884),f331(f172(x41882),f117(x41882))),x41884)
% 204.30/204.30 [4296]E(f228(x42961,f934(x42962,f929(x42962)),x42963,f331(f261(x42962,f929(x42962),x42961),x42964),f331(f139(x42962),f123(x42962))),x42963)
% 204.30/204.30 [4429]E(f331(f261(x44291,x44292,x44293),f331(f331(f8(f935(x44292,f934(x44291,x44292)),f935(x44292,x44293),x44291),f331(f8(f934(x44291,x44292),x44293,x44292),x44294)),f256(x44291,x44292))),x44294)
% 204.30/204.30 [3740]E(f331(f260(x37401,x37402),f331(f331(f256(x37401,x37402),x37403),x37404)),x37404)
% 204.30/204.30 [3741]E(f331(f255(x37411,x37412),f331(f331(f256(x37411,x37412),x37413),x37414)),x37413)
% 204.30/204.30 [3774]E(f331(f193(f928(x37741)),f331(f331(f163(x37741,x37742),x37743),x37744)),f331(f193(f928(x37741)),x37742))
% 204.30/204.30 [3775]E(f331(f193(f928(x37751)),f331(f331(f158(x37752,x37751),x37753),x37754)),f331(f193(f928(x37752)),x37754))
% 204.30/204.30 [3796]E(f331(f331(f142(x37961),f331(a116,x37962)),f331(f331(f155(x37961),x37963),x37964)),f331(f331(f142(x37961),x37962),x37964))
% 204.30/204.30 [3862]E(f331(f331(f179(x38621),x38622),f173(x38621,x38623,x38624)),f173(x38621,f331(f331(f237(a927),x38622),x38623),x38624))
% 204.30/204.30 [3863]E(f331(f331(f142(x38631),x38632),f173(x38631,x38633,x38634)),f173(x38631,f331(f331(f23(a927),x38633),x38632),x38634))
% 204.30/204.30 [3869]E(f331(f331(f313(x38691),x38692),f331(f331(f313(x38691),x38693),x38694)),f331(f331(f313(x38691),x38693),f331(f331(f313(x38691),x38692),x38694)))
% 204.30/204.30 [3873]E(f331(f331(f158(x38731,x38732),x38733),f118(x38731,x38734)),f118(x38732,f331(f331(f158(x38731,x38732),x38733),x38734)))
% 204.30/204.30 [3889]E(f331(f172(x38891),f331(f331(f158(x38892,x38891),x38893),x38894)),f331(f331(f158(x38892,x38891),x38893),f331(f172(x38892),x38894)))
% 204.30/204.30 [3890]E(f331(f331(f158(x38901,x38902),x38903),f331(f175(x38901),x38904)),f331(f175(x38902),f331(f331(f158(x38901,x38902),x38903),x38904)))
% 204.30/204.30 [3904]E(f331(f331(f179(x39041),f331(a116,x39042)),f331(f331(f155(x39041),x39043),x39044)),f331(f331(f155(x39041),x39043),f331(f331(f179(x39041),x39042),x39044)))
% 204.30/204.30 [3908]E(f331(f176(x39081),f331(f331(f158(x39082,x39081),x39083),x39084)),f331(f314(x39082,x39081,x39083),f331(f176(x39082),x39084)))
% 204.30/204.30 [3921]E(f331(f331(f158(x39211,x39212),f331(f16(x39212,x39211),x39213)),x39214),f173(x39212,f331(f193(f928(x39211)),x39214),x39213))
% 204.30/204.30 [3957]E(f17(x39571,x39572,x39573,f331(a3,f331(a116,f331(a20,x39574)))),f331(x39573,x39574))
% 204.30/204.30 [3961]E(f331(f331(f138(x39611),f331(f140(x39611,x39612),x39613)),f331(f140(x39611,x39612),x39614)),f331(f140(x39611,x39612),f331(f331(f138(x39611),x39613),x39614)))
% 204.30/204.30 [3974]E(f156(x39741,f331(f331(f158(x39742,x39741),x39743),f156(x39742,x39744))),f156(x39741,f331(f331(f158(x39742,x39741),x39743),x39744)))
% 204.30/204.30 [3989]E(f331(f290(x39891,x39891),f331(f331(f292(x39892,x39891),x39893),x39894)),f331(f331(f292(x39892,x39891),f331(f290(x39892,x39892),x39893)),x39894))
% 204.30/204.30 [4001]E(f331(f331(f293(x40011,x40012,x40013),x40014),f192(f935(f934(x40012,x40013),a923))),f192(f935(f934(x40011,x40013),a923)))
% 204.30/204.30 [4002]E(f331(f331(f179(x40021),f331(f331(f23(a927),x40022),x40023)),f331(f331(f142(x40021),x40023),x40024)),f331(f331(f142(x40021),x40023),f331(f331(f179(x40021),x40022),x40024)))
% 204.30/204.30 [4021]E(f331(f331(f138(x40211),f173(x40211,x40212,x40213)),f173(x40211,x40214,x40213)),f173(x40211,f331(f331(f80(a927),x40212),x40214),x40213))
% 204.30/204.30 [4022]E(f331(f331(f331(f282(x40221),x40222),x40223),x40224),f331(f256(f935(a103,f935(a923,f931(f929(x40221)))),f934(a103,a103)),f331(f42(x40221),x40222)))
% 204.30/204.30 [4048]E(f37(f935(x40481,a923),f331(f314(x40482,f935(x40481,a923),x40483),x40484)),f331(f331(f39(x40482,f935(x40481,a923)),x40484),x40483))
% 204.30/204.30 [4049]E(f38(f935(x40491,a923),f331(f314(x40492,f935(x40491,a923),x40493),x40494)),f331(f331(f40(x40492,f935(x40491,a923)),x40494),x40493))
% 204.30/204.30 [4050]E(f331(f193(f928(f934(x40501,x40502))),f331(f331(f185(x40501,x40502),x40503),x40504)),f331(f331(f237(a927),f331(f193(f928(x40501)),x40503)),f331(f193(f928(x40502)),x40504)))
% 204.30/204.30 [4052]E(f331(f315(x40521,x40522,x40523),f331(f79(f935(x40522,a923)),x40524)),f331(f79(f935(x40521,a923)),f331(f315(x40521,x40522,x40523),x40524)))
% 204.30/204.30 [4103]E(f331(f315(x41031,x41032,x41033),f331(f266(x41032),x41034)),f331(f266(x41031),f331(f331(f8(x41032,a923,x41031),x41034),x41033)))
% 204.30/204.30 [4121]E(f331(f331(f168(x41211),f331(f331(f138(x41211),x41212),f331(f331(f155(x41211),x41213),x41214))),f331(f193(f928(x41211)),x41212)),x41213)
% 204.30/204.30 [4144]E(f331(f314(x41441,x41442,x41443),f331(f315(x41441,x41442,x41443),x41444)),f331(f331(f105(f935(x41442,a923)),x41444),f331(f314(x41441,x41442,x41443),f246(f935(x41441,a923)))))
% 204.30/204.30 [4163]P107(f331(f331(f333(x41631),f331(x41632,x41633)),f331(f314(x41634,x41631,x41632),f246(f935(x41634,a923)))))
% 204.30/204.30 [4172]E(f19(x41721,x41722,x41723,f331(a3,f331(a116,f331(a20,x41724)))),f331(f331(x41723,x41724),f19(x41721,x41722,x41723,x41724)))
% 204.30/204.30 [4176]E(f331(f331(f138(x41761),f173(x41761,x41762,x41763)),f331(f331(f155(x41761),x41763),x41764)),f331(f331(f155(x41761),x41763),f331(f331(f138(x41761),f173(x41761,x41762,x41763)),x41764)))
% 204.30/204.30 [4178]E(f331(f331(f258(x41781,x41782),f331(f176(x41781),x41783)),f331(f16(f935(x41782,a923),x41781),f331(f176(x41782),x41784))),f331(f176(f934(x41781,x41782)),f59(x41781,x41782,x41783,x41784)))
% 204.30/204.30 [4190]E(f159(x41901,x41902,f331(f331(f155(x41901),x41903),x41904)),f331(f331(f80(a927),f331(f331(f80(a927),f331(x41902,x41903)),f159(x41901,x41902,x41904))),f331(a116,f2(a927))))
% 204.30/204.30 [4204]E(f189(f928(x42041),f331(f331(f155(x42041),x42042),x42043),f331(f331(f7(a927,f928(x42041),f928(x42041)),f142(x42041)),x42043),x42044),f331(f331(f142(x42041),x42044),f331(f331(f155(x42041),x42042),x42043)))
% 204.30/204.30 [4205]P24(x42051,f934(x42052,x42051),f335(x42053,x42054,x42052,x42051),f331(f331(f39(x42052,f935(x42051,a923)),x42054),x42053))
% 204.30/204.30 [4215]E(f331(f331(f23(f935(x42151,a923)),f331(f331(f23(f935(x42151,a923)),x42152),x42153)),f331(f331(f313(x42151),x42154),f192(f935(x42151,a923)))),f331(f331(f23(f935(x42151,a923)),x42152),f331(f331(f313(x42151),x42154),x42153)))
% 204.30/204.30 [4228]E(f331(f331(f187(f935(x42281,x42282),f935(x42281,x42282)),x42283),f73(x42282,x42282,x42281,x42284)),f73(x42282,x42282,x42281,f331(f331(f187(x42282,x42282),x42283),x42284)))
% 204.30/204.30 [4301]E(f331(f331(f331(f187(f928(x43011),f928(x43011)),x43012),f171(x43011)),f331(f331(f331(f187(f928(x43011),f928(x43011)),x43013),f171(x43011)),x43014)),f331(f331(f331(f187(f928(x43011),f928(x43011)),f331(f331(f80(a927),x43012),x43013)),f171(x43011)),x43014))
% 204.30/204.30 [4386]P107(f331(f331(f239(f935(x43861,a923)),f331(f176(x43861),f331(f331(f163(x43861,x43862),x43863),x43864))),f331(f331(f313(x43861),x43864),f331(f176(x43861),x43862))))
% 204.30/204.30 [4419]E(f331(f331(f39(f935(x44191,a923),f935(f934(x44191,x44192),a923)),x44193),f331(f331(f7(f935(x44191,a923),f935(x44191,f935(x44192,a923)),f935(f934(x44191,x44192),a923)),f258(x44191,x44192)),x44194)),f331(f331(f258(x44191,x44192),f37(f935(x44191,a923),x44193)),x44194))
% 204.30/204.30 [4457]E(f214(x44571,x44572,x44573,f331(f73(x44572,f935(a103,f935(a103,f935(f934(a103,a103),f935(a103,f929(x44572))))),x44571,f213(x44572)),x44574)),f215(x44571,x44572,x44574,x44573))
% 204.30/204.30 [4472]E(f210(x44721,x44722,x44723,f331(f73(x44722,f935(a103,f935(a103,f935(f934(a103,a103),f935(a103,f929(f931(x44722)))))),x44721,f209(x44722)),x44724)),f211(x44721,x44722,x44724,x44723))
% 204.30/204.30 [4477]P107(f331(f66(x44771,x44772,x44773,x44774,f192(f935(x44771,a923))),x44774))
% 204.30/204.30 [4516]E(f331(f331(f39(x45161,f935(x45162,a923)),x45163),f331(f331(f7(x45161,f935(x45162,a923),f935(x45162,a923)),f331(f331(f8(x45162,f935(f935(x45162,a923),f935(x45162,a923)),x45161),f313(x45162)),x45164)),f192(f935(x45162,a923)))),f331(f314(x45161,x45162,x45164),x45163))
% 204.30/204.30 [4523]P107(f331(f331(f239(f935(x45231,a923)),f331(f288(x45232,x45231),f331(f331(f105(f935(f934(x45232,x45231),a923)),x45233),x45234))),f331(f331(f105(f935(x45231,a923)),f331(f288(x45232,x45231),x45233)),f331(f288(x45232,x45231),x45234))))
% 204.30/204.30 [4524]P107(f331(f331(f239(f935(x45241,a923)),f331(f268(x45241,x45242),f331(f331(f105(f935(f934(x45241,x45242),a923)),x45243),x45244))),f331(f331(f105(f935(x45241,a923)),f331(f268(x45241,x45242),x45243)),f331(f268(x45241,x45242),x45244))))
% 204.30/204.30 [4584]P107(f331(f331(f239(f935(f934(x45841,x45842),a923)),f331(f314(x45842,f934(x45841,x45842),f335(x45843,x45844,x45841,x45842)),f331(f331(f39(x45841,f935(x45842,a923)),x45844),x45843))),f331(f331(f258(x45841,x45842),x45844),x45843)))
% 204.30/204.30 [4585]E(f331(f122(x45851,f934(x45851,x45852),x45853),f331(f331(f8(f935(x45852,f929(f934(x45851,x45852))),f929(f934(x45851,x45852)),x45851),f122(x45852,f934(x45851,x45852),x45854)),f331(f331(f8(f935(x45852,f934(x45851,x45852)),f935(x45852,f929(f934(x45851,x45852))),x45851),f331(f8(f934(x45851,x45852),f929(f934(x45851,x45852)),x45852),f133(f934(x45851,x45852)))),f256(x45851,x45852)))),f135(x45851,x45852,x45853,x45854))
% 204.30/204.30 [4586]E(f280(x45861,x45862,x45863,f331(f73(x45862,f935(a103,f935(a103,f935(f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x45862)))),f934(a103,a103))))),x45861,f282(x45862)),x45864)),f283(x45861,x45862,x45864,x45863))
% 204.30/204.30 [4626]E(f85(f934(x46261,x46262),f331(f261(x46261,x46262,a923),f331(f331(f7(x46261,f935(x46262,a923),f935(x46262,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x46262,a923),f935(x46262,a923)),x46261),f8(a923,a923,x46262)),f331(f331(f8(a923,f935(a923,a923),x46261),a329),f331(a328,x46263)))),f331(a328,x46264)))),f331(f331(f256(x46261,x46262),x46263),x46264))
% 204.30/204.30 [4627]E(f90(f934(x46271,x46272),f331(f261(x46271,x46272,a923),f331(f331(f7(x46271,f935(x46272,a923),f935(x46272,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x46272,a923),f935(x46272,a923)),x46271),f8(a923,a923,x46272)),f331(f331(f8(a923,f935(a923,a923),x46271),a329),f331(a328,x46273)))),f331(a328,x46274)))),f331(f331(f256(x46271,x46272),x46273),x46274))
% 204.30/204.30 [4698]E(f331(f331(f261(f928(x46981),f928(x46981),f934(f928(x46981),f928(x46981))),f331(f331(f18(f928(x46981),f935(f928(x46981),f934(f928(x46981),f928(x46981))),f935(f928(x46981),f934(f928(x46981),f928(x46981)))),f331(f331(f8(f935(f928(x46981),f935(f934(f928(x46981),f928(x46981)),f934(f928(x46981),f928(x46981)))),f935(f935(f928(x46981),f934(f928(x46981),f928(x46981))),f935(f928(x46981),f934(f928(x46981),f928(x46981)))),f928(x46981)),f18(f928(x46981),f934(f928(x46981),f928(x46981)),f934(f928(x46981),f928(x46981)))),f331(f331(f8(f935(f928(x46981),f934(f928(x46981),f928(x46981))),f935(f928(x46981),f935(f934(f928(x46981),f928(x46981)),f934(f928(x46981),f928(x46981)))),f928(x46981)),f331(f8(f934(f928(x46981),f928(x46981)),f935(f934(f928(x46981),f928(x46981)),f934(f928(x46981),f928(x46981))),f928(x46981)),f331(f100(f934(f928(x46981),f928(x46981))),f331(x46982,x46983)))),f331(f331(f8(f928(x46981),f935(f928(x46981),f934(f928(x46981),f928(x46981))),f928(x46981)),f256(f928(x46981),f928(x46981))),f331(f155(x46981),x46983))))),f331(f331(f7(f928(x46981),f935(f928(x46981),f928(x46981)),f935(f928(x46981),f934(f928(x46981),f928(x46981)))),f331(f331(f8(f935(f928(x46981),f934(f928(x46981),f928(x46981))),f935(f935(f928(x46981),f928(x46981)),f935(f928(x46981),f934(f928(x46981),f928(x46981)))),f928(x46981)),f8(f928(x46981),f934(f928(x46981),f928(x46981)),f928(x46981))),f256(f928(x46981),f928(x46981)))),f331(f155(x46981),x46983)))),f170(x46981,x46982,x46984)),f170(x46981,x46982,f331(f331(f155(x46981),x46983),x46984)))
% 204.30/204.30 [3814]E(f331(f193(f926(x38141)),f331(f331(f331(f91(x38141),x38142),x38143),x38144)),f2(a927))
% 204.30/204.30 [3937]E(f331(f331(f179(x39371),x39372),f331(f331(f179(x39371),x39373),x39374)),f331(f331(f179(x39371),f331(f331(f237(a927),x39372),x39373)),x39374))
% 204.30/204.30 [3938]E(f331(f331(f142(x39381),x39382),f331(f331(f142(x39381),x39383),x39384)),f331(f331(f142(x39381),f331(f331(f80(a927),x39382),x39383)),x39384))
% 204.30/204.30 [3949]E(f331(f331(f138(x39491),f331(f331(f155(x39491),x39492),x39493)),x39494),f331(f331(f155(x39491),x39492),f331(f331(f138(x39491),x39493),x39494)))
% 204.30/204.30 [3950]E(f331(f331(f138(x39501),f331(f331(f138(x39501),x39502),x39503)),x39504),f331(f331(f138(x39501),x39502),f331(f331(f138(x39501),x39503),x39504)))
% 204.30/204.30 [4032]E(f331(f331(f168(x40321),f331(f331(f155(x40321),x40322),x40323)),x40324),f189(x40321,x40322,f331(f168(x40321),x40323),x40324))
% 204.30/204.30 [4041]E(f331(f331(f187(x40411,x40411),x40412),f331(f331(f187(x40411,x40411),x40413),x40414)),f331(f331(f187(x40411,x40411),f331(f331(f81(a927),x40413),x40412)),x40414))
% 204.30/204.30 [4070]E(f331(f331(f114(f935(x40701,a923)),x40702),f331(f331(f313(x40701),x40703),x40704)),f331(f331(f313(x40701),x40703),f331(f331(f114(f935(x40701,a923)),x40702),x40704)))
% 204.30/204.30 [4085]E(f331(f331(f331(f187(x40851,x40851),x40852),x40853),f331(x40853,x40854)),f331(x40853,f331(f331(f331(f187(x40851,x40851),x40852),x40853),x40854)))
% 204.30/204.30 [4094]E(f331(f331(f293(x40941,x40942,x40943),f192(f935(f934(x40941,x40942),a923))),x40944),f192(f935(f934(x40941,x40943),a923)))
% 204.30/204.30 [4109]E(f331(f331(f114(f935(x41091,a923)),f331(f331(f313(x41091),x41092),x41093)),x41094),f331(f331(f313(x41091),x41092),f331(f331(f114(f935(x41091,a923)),x41093),x41094)))
% 204.30/204.30 [4128]E(f331(f35(f934(x41281,x41282)),f331(f331(f258(x41281,x41282),x41283),f331(f16(f935(x41282,a923),x41281),x41284))),f331(f331(f81(a927),f331(f35(x41281),x41283)),f331(f35(x41282),x41284)))
% 204.30/204.30 [4135]E(f331(f331(f105(f935(x41351,a923)),f331(f331(f313(x41351),x41352),x41353)),f331(f331(f313(x41351),x41352),x41354)),f331(f331(f313(x41351),x41352),f331(f331(f105(f935(x41351,a923)),x41353),x41354)))
% 204.30/204.30 [4148]E(f331(f331(f114(f935(x41481,a923)),x41482),f331(f331(f114(f935(x41481,a923)),x41483),x41484)),f331(f331(f114(f935(x41481,a923)),x41483),f331(f331(f114(f935(x41481,a923)),x41482),x41484)))
% 204.30/204.30 [4149]E(f331(f331(f105(f935(x41491,a923)),x41492),f331(f331(f105(f935(x41491,a923)),x41493),x41494)),f331(f331(f105(f935(x41491,a923)),x41493),f331(f331(f105(f935(x41491,a923)),x41492),x41494)))
% 204.30/204.30 [4159]E(f64(x41591,x41592,f331(f331(f8(x41592,f935(x41592,x41592),x41591),x41593),x41594)),f331(f65(x41592,x41591,x41593),x41594))
% 204.30/204.30 [4168]E(f183(x41681,f331(f331(f158(f928(x41682),f928(x41681)),f331(f158(x41682,x41681),x41683)),x41684)),f331(f331(f158(f928(x41682),f928(x41681)),f331(f158(x41682,x41681),x41683)),f183(x41682,x41684)))
% 204.30/204.30 [4187]E(f331(f146(f928(x41871),f928(x41871),f138(x41871),f117(x41871)),f331(f331(f158(x41872,f928(x41871)),x41873),x41874)),f167(x41872,x41871,x41873,x41874))
% 204.30/204.30 [4248]E(f331(f73(x42481,x42481,x42481,f331(f331(f187(x42481,x42481),x42482),x42483)),f331(f331(f187(x42481,x42481),x42484),x42483)),f331(f331(f187(x42481,x42481),f331(f331(f80(a927),x42482),x42484)),x42483))
% 204.30/204.30 [4271]E(f331(f331(f105(f935(x42711,a923)),f331(f331(f114(f935(x42711,a923)),x42712),x42713)),f331(f331(f114(f935(x42711,a923)),x42712),x42714)),f331(f331(f114(f935(x42711,a923)),x42712),f331(f331(f105(f935(x42711,a923)),x42713),x42714)))
% 204.30/204.30 [4272]E(f331(f331(f105(f935(x42721,a923)),f331(f331(f23(f935(x42721,a923)),x42722),x42723)),f331(f331(f23(f935(x42721,a923)),x42722),x42724)),f331(f331(f23(f935(x42721,a923)),x42722),f331(f331(f114(f935(x42721,a923)),x42723),x42724)))
% 204.30/204.30 [4273]E(f331(f331(f114(f935(x42731,a923)),f331(f331(f23(f935(x42731,a923)),x42732),x42733)),f331(f331(f23(f935(x42731,a923)),x42732),x42734)),f331(f331(f23(f935(x42731,a923)),x42732),f331(f331(f105(f935(x42731,a923)),x42733),x42734)))
% 204.30/204.30 [4274]E(f331(f331(f114(f935(x42741,a923)),f331(f331(f105(f935(x42741,a923)),x42742),x42743)),f331(f331(f105(f935(x42741,a923)),x42742),x42744)),f331(f331(f105(f935(x42741,a923)),x42742),f331(f331(f114(f935(x42741,a923)),x42743),x42744)))
% 204.30/204.30 [4275]E(f331(f331(f23(f935(x42751,a923)),f331(f331(f105(f935(x42751,a923)),x42752),x42753)),f331(f331(f105(f935(x42751,a923)),x42752),x42754)),f331(f331(f105(f935(x42751,a923)),x42752),f331(f331(f23(f935(x42751,a923)),x42753),x42754)))
% 204.30/204.30 [4280]E(f331(f35(f934(x42801,x42802)),f331(f331(f258(x42801,x42802),f331(f331(f313(x42801),x42803),f192(f935(x42801,a923)))),f331(f16(f935(x42802,a923),x42801),x42804))),f331(f35(x42802),x42804))
% 204.30/204.30 [4315]E(f331(f331(f40(x43151,f935(x43152,a923)),x43153),f331(f331(f8(f935(x43152,a923),f935(x43152,a923),x43151),f79(f935(x43152,a923))),x43154)),f331(f79(f935(x43152,a923)),f331(f331(f39(x43151,f935(x43152,a923)),x43153),x43154)))
% 204.30/204.30 [4316]E(f331(f331(f39(x43161,f935(x43162,a923)),x43163),f331(f331(f8(f935(x43162,a923),f935(x43162,a923),x43161),f79(f935(x43162,a923))),x43164)),f331(f79(f935(x43162,a923)),f331(f331(f40(x43161,f935(x43162,a923)),x43163),x43164)))
% 204.30/204.30 [4332]E(f331(f331(f293(x43321,x43321,x43321),f331(f331(f187(f934(x43321,x43321),a923),x43322),x43323)),f331(f331(f187(f934(x43321,x43321),a923),x43324),x43323)),f331(f331(f187(f934(x43321,x43321),a923),f331(f331(f80(a927),x43322),x43324)),x43323))
% 204.30/204.30 [4362]E(f331(f331(f40(x43621,f935(f935(x43622,a923),a923)),x43623),f331(f331(f8(f935(x43622,a923),f935(f935(x43622,a923),a923),x43621),f312(x43622)),x43624)),f331(f312(x43622),f331(f331(f40(x43621,f935(x43622,a923)),x43623),x43624)))
% 204.30/204.30 [4391]E(f331(f331(f39(f935(x43911,a923),f935(x43912,a923)),x43913),f331(f331(f7(f935(x43911,a923),f935(x43911,f935(x43912,a923)),f935(x43912,a923)),f39(x43911,f935(x43912,a923))),x43914)),f331(f331(f39(x43911,f935(x43912,a923)),f37(f935(x43911,a923),x43913)),x43914))
% 204.30/204.30 [4392]E(f331(f331(f40(f935(x43921,a923),f935(x43922,a923)),x43923),f331(f331(f7(f935(x43921,a923),f935(x43921,f935(x43922,a923)),f935(x43922,a923)),f40(x43921,f935(x43922,a923))),x43924)),f331(f331(f40(x43921,f935(x43922,a923)),f37(f935(x43921,a923),x43923)),x43924))
% 204.30/204.30 [4397]E(f331(f331(f158(x43971,x43972),x43973),f331(f146(f928(x43971),f928(x43971),f138(x43971),f117(x43971)),x43974)),f331(f146(f928(x43972),f928(x43972),f138(x43972),f117(x43972)),f331(f331(f158(f928(x43971),f928(x43972)),f331(f158(x43971,x43972),x43973)),x43974)))
% 204.30/204.30 [4400]E(f189(f928(x44001),f117(x44001),f331(f331(f8(f928(x44001),f928(x44001),a927),f331(f155(x44001),x44002)),f331(f331(f7(a927,f928(x44001),f928(x44001)),f179(x44001)),x44003)),x44004),f331(f331(f179(x44001),x44004),f331(f331(f155(x44001),x44002),x44003)))
% 204.30/204.30 [4438]P107(f331(f331(f239(f935(x44381,a923)),f331(f314(x44382,x44381,x44383),f331(f315(x44382,x44381,x44383),x44384))),x44384))
% 204.30/204.30 [4440]E(f331(f314(f934(x44401,x44402),f934(x44402,x44401),f331(f261(x44401,x44402,f934(x44402,x44401)),f331(f7(x44402,x44401,f934(x44402,x44401)),f256(x44402,x44401)))),f331(f331(f258(x44401,x44402),x44403),f331(f16(f935(x44402,a923),x44401),x44404))),f331(f331(f258(x44402,x44401),x44404),f331(f16(f935(x44401,a923),x44402),x44403)))
% 204.30/204.30 [4449]E(f331(f331(f39(x44491,f935(x44492,a923)),x44493),f331(f331(f8(f935(x44491,a923),f935(x44492,a923),x44491),f289(x44491,x44492,x44494)),f331(f331(f7(x44491,f935(x44491,a923),f935(x44491,a923)),f313(x44491)),f192(f935(x44491,a923))))),f331(f289(x44491,x44492,x44494),x44493))
% 204.30/204.30 [4450]E(f331(f331(f39(x44501,f935(x44502,a923)),x44503),f331(f331(f8(f935(x44501,a923),f935(x44502,a923),x44501),f315(x44502,x44501,x44504)),f331(f331(f7(x44501,f935(x44501,a923),f935(x44501,a923)),f313(x44501)),f192(f935(x44501,a923))))),f331(f315(x44502,x44501,x44504),x44503))
% 204.30/204.30 [4537]E(f331(f331(f114(f935(x45371,a923)),f331(f331(f114(f935(x45371,a923)),f331(f331(f105(f935(x45371,a923)),x45372),x45373)),f331(f331(f105(f935(x45371,a923)),x45373),x45374))),f331(f331(f105(f935(x45371,a923)),x45374),x45372)),f331(f331(f105(f935(x45371,a923)),f331(f331(f105(f935(x45371,a923)),f331(f331(f114(f935(x45371,a923)),x45372),x45373)),f331(f331(f114(f935(x45371,a923)),x45373),x45374))),f331(f331(f114(f935(x45371,a923)),x45374),x45372)))
% 204.30/204.30 [4600]E(f331(f146(f928(x46001),f928(x46001),f138(x46001),f117(x46001)),f331(f331(f158(x46002,f928(x46001)),f331(f331(f7(x46002,f928(x46001),f928(x46001)),f331(f331(f8(x46001,f935(f928(x46001),f928(x46001)),x46002),f155(x46001)),x46003)),f117(x46001))),x46004)),f331(f331(f158(x46002,x46001),x46003),x46004))
% 204.30/204.30 [4610]E(f331(f331(f86(a1,x46101),f331(f107(a1),f331(f331(f80(a1),x46102),a101))),f331(f331(f18(a1,x46101,x46101),f331(f331(f7(a1,x46101,f935(x46101,x46101)),f331(f331(f8(a923,f935(x46101,f935(x46101,x46101)),a1),f100(x46101)),a197)),x46103)),f331(f331(f8(a927,x46101,a1),x46104),a108))),f189(x46101,x46103,x46104,f331(f107(a927),x46102)))
% 204.30/204.30 [4641]E(f331(f266(x46411),f331(f331(f8(f935(x46412,a923),a923,x46411),f87(x46412)),f331(f331(f8(f935(x46412,a923),f935(x46412,a923),x46411),f331(f18(x46412,a923,a923),f331(f331(f8(a923,f935(a923,a923),x46412),a329),f331(f331(f7(x46412,f935(x46412,a923),a923),f333(x46412)),x46413)))),f331(f7(x46412,x46411,a923),x46414)))),f331(f289(x46412,x46411,f331(f266(f934(x46412,x46411)),f331(f261(x46412,x46411,a923),x46414))),x46413))
% 204.30/204.30 [4801]~P107(f331(f331(f192(f935(x48011,f935(x48012,a923))),x48013),x48014))
% 204.30/204.30 [4097]E(f331(f331(f168(x40971),f331(f331(f138(x40971),x40972),x40973)),f331(f331(f80(a927),f331(f193(f928(x40971)),x40972)),x40974)),f331(f331(f168(x40971),x40973),x40974))
% 204.30/204.30 [4102]E(f331(f331(f142(x41021),x41022),f331(f331(f179(x41021),f331(f331(f80(a927),x41023),x41022)),x41024)),f331(f331(f179(x41021),x41023),f331(f331(f142(x41021),x41022),x41024)))
% 204.30/204.30 [4202]E(f331(f331(f114(f935(x42021,a923)),f331(f288(x42022,x42021),x42023)),f331(f288(x42022,x42021),x42024)),f331(f288(x42022,x42021),f331(f331(f114(f935(f934(x42022,x42021),a923)),x42023),x42024)))
% 204.30/204.30 [4203]E(f331(f331(f114(f935(x42031,a923)),f331(f268(x42031,x42032),x42033)),f331(f268(x42031,x42032),x42034)),f331(f268(x42031,x42032),f331(f331(f114(f935(f934(x42031,x42032),a923)),x42033),x42034)))
% 204.30/204.30 [4208]E(f331(f331(f114(f935(x42081,a923)),f331(f331(f114(f935(x42081,a923)),x42082),x42083)),x42084),f331(f331(f114(f935(x42081,a923)),x42082),f331(f331(f114(f935(x42081,a923)),x42083),x42084)))
% 204.30/204.30 [4209]E(f331(f331(f23(f935(x42091,a923)),f331(f331(f105(f935(x42091,a923)),x42092),x42093)),x42094),f331(f331(f105(f935(x42091,a923)),x42092),f331(f331(f23(f935(x42091,a923)),x42093),x42094)))
% 204.30/204.30 [4210]E(f331(f331(f105(f935(x42101,a923)),f331(f331(f105(f935(x42101,a923)),x42102),x42103)),x42104),f331(f331(f105(f935(x42101,a923)),x42102),f331(f331(f105(f935(x42101,a923)),x42103),x42104)))
% 204.30/204.30 [4250]E(f331(f331(f114(f935(f934(x42501,x42502),a923)),f331(f290(x42502,x42501),x42503)),f331(f290(x42502,x42501),x42504)),f331(f290(x42502,x42501),f331(f331(f114(f935(f934(x42502,x42501),a923)),x42503),x42504)))
% 204.30/204.30 [4251]E(f331(f331(f105(f935(f934(x42511,x42512),a923)),f331(f290(x42512,x42511),x42513)),f331(f290(x42512,x42511),x42514)),f331(f290(x42512,x42511),f331(f331(f105(f935(f934(x42512,x42511),a923)),x42513),x42514)))
% 204.30/204.30 [4264]E(f331(f331(f114(f935(x42641,f935(x42642,a923))),f247(x42642,x42641,x42643)),f247(x42642,x42641,x42644)),f247(x42642,x42641,f331(f331(f114(f935(x42642,f935(x42641,a923))),x42643),x42644)))
% 204.30/204.30 [4265]E(f331(f331(f105(f935(x42651,f935(x42652,a923))),f247(x42652,x42651,x42653)),f247(x42652,x42651,x42654)),f247(x42652,x42651,f331(f331(f105(f935(x42652,f935(x42651,a923))),x42653),x42654)))
% 204.30/204.30 [4319]E(f331(f331(f105(f935(x43191,a923)),f331(f331(f114(f935(x43191,a923)),x43192),x43193)),f331(f331(f114(f935(x43191,a923)),x43194),x43193)),f331(f331(f114(f935(x43191,a923)),f331(f331(f105(f935(x43191,a923)),x43192),x43194)),x43193))
% 204.30/204.30 [4320]E(f331(f331(f114(f935(x43201,a923)),f331(f331(f23(f935(x43201,a923)),x43202),x43203)),f331(f331(f23(f935(x43201,a923)),x43204),x43203)),f331(f331(f23(f935(x43201,a923)),f331(f331(f114(f935(x43201,a923)),x43202),x43204)),x43203))
% 204.30/204.30 [4321]E(f331(f331(f114(f935(x43211,a923)),f331(f331(f105(f935(x43211,a923)),x43212),x43213)),f331(f331(f105(f935(x43211,a923)),x43214),x43213)),f331(f331(f105(f935(x43211,a923)),f331(f331(f114(f935(x43211,a923)),x43212),x43214)),x43213))
% 204.30/204.30 [4322]E(f331(f331(f23(f935(x43221,a923)),f331(f331(f105(f935(x43221,a923)),x43222),x43223)),f331(f331(f105(f935(x43221,a923)),x43224),x43223)),f331(f331(f105(f935(x43221,a923)),f331(f331(f23(f935(x43221,a923)),x43222),x43224)),x43223))
% 204.30/204.30 [4323]E(f331(f331(f23(f935(x43231,a923)),f331(f331(f105(f935(x43231,a923)),x43232),x43233)),f331(f331(f105(f935(x43231,a923)),x43234),x43233)),f331(f331(f23(f935(x43231,a923)),f331(f331(f105(f935(x43231,a923)),x43232),x43233)),x43234))
% 204.30/204.30 [4335]E(f331(f331(f23(f935(x43351,a923)),f331(f331(f23(f935(x43351,a923)),x43352),f331(f331(f313(x43351),x43353),f192(f935(x43351,a923))))),x43354),f331(f331(f23(f935(x43351,a923)),x43352),f331(f331(f313(x43351),x43353),x43354)))
% 204.30/204.30 [4388]E(f331(f331(f114(f935(x43881,a923)),f331(f331(f313(x43881),x43882),f331(f331(f313(x43881),x43883),f192(f935(x43881,a923))))),f331(f285(x43881),x43884)),f331(f285(x43881),f331(f331(f313(f934(x43881,x43881)),f331(f331(f256(x43881,x43881),x43882),x43883)),x43884)))
% 204.30/204.30 [4414]E(f331(f331(f39(a927,f935(x44141,a923)),f331(f305(a927),x44142)),f331(f331(f8(a927,f935(x44141,a923),a927),x44143),f331(f331(f7(a927,a927,a927),f80(a927)),x44144))),f331(f331(f39(a927,f935(x44141,a923)),f307(a927,x44144,f331(f331(f80(a927),x44142),x44144))),x44143))
% 204.30/204.30 [4415]E(f178(x44151,f331(f289(x44151,x44151,x44152),f331(f331(f313(x44151),x44153),f192(f935(x44151,a923)))),f331(f289(f928(x44151),f928(x44151),f162(x44151,x44152)),f331(f331(f313(f928(x44151)),x44154),f192(f935(f928(x44151),a923))))),f331(f289(f928(x44151),f928(x44151),f162(x44151,x44152)),f331(f331(f313(f928(x44151)),f331(f331(f155(x44151),x44153),x44154)),f192(f935(f928(x44151),a923)))))
% 204.30/204.30 [4479]E(f331(f266(x44791),f331(f331(f7(x44791,f935(x44792,a923),a923),f331(f331(f8(x44792,f935(f935(x44792,a923),a923),x44791),f333(x44792)),x44793)),x44794)),f331(f315(x44791,x44792,x44793),x44794))
% 204.30/204.30 [4569]E(f331(f266(x45691),f331(f331(f7(x45691,f935(f934(x45692,x45691),a923),a923),f331(f331(f8(f934(x45692,x45691),f935(f935(f934(x45692,x45691),a923),a923),x45691),f333(f934(x45692,x45691))),f331(f256(x45692,x45691),x45693))),x45694)),f331(f289(x45692,x45691,x45694),f331(f331(f313(x45692),x45693),f192(f935(x45692,a923)))))
% 204.30/204.30 [4583]E(f331(f331(f158(f934(x45831,a927),x45831),f255(x45831,a927)),f331(f140(f934(x45831,a927),f331(f331(f8(a927,a923,f934(x45831,a927)),x45832),f331(f331(f8(a927,a927,f934(x45831,a927)),a116),f260(x45831,a927)))),f331(f331(f185(x45831,a927),x45833),x45834))),f331(f331(f158(f934(x45831,a927),x45831),f255(x45831,a927)),f331(f140(f934(x45831,a927),f331(f331(f8(a927,a923,f934(x45831,a927)),x45832),f260(x45831,a927))),f331(f331(f185(x45831,a927),x45833),f331(f331(f158(a927,a927),a116),x45834)))))
% 204.30/204.30 [4592]P107(f331(f331(f239(f935(f935(x45921,a923),a923)),f331(f331(f39(x45922,f935(f935(x45921,a923),a923)),x45923),f331(f331(f8(f935(x45921,a923),f935(f935(x45921,a923),a923),x45922),f312(x45921)),x45924))),f331(f312(x45921),f331(f331(f39(x45922,f935(x45921,a923)),x45923),x45924))))
% 204.30/204.30 [4633]E(f331(f331(f86(a1,x46331),f331(f107(a1),f331(f331(f80(a1),x46332),a101))),f331(f331(f18(a1,x46331,x46331),f331(f331(f7(a1,x46331,f935(x46331,x46331)),f331(f331(f8(a923,f935(x46331,f935(x46331,x46331)),a1),f100(x46331)),a197)),x46333)),f331(f331(f18(a1,x46331,x46331),f331(f331(f8(a927,f935(x46331,x46331),a1),x46334),a108)),f331(f331(f8(a927,x46331,a1),f188(x46331,x46333,x46334)),a108)))),f331(f188(x46331,x46333,x46334),f331(f107(a927),x46332)))
% 204.30/204.30 [4657]E(f331(f266(f934(x46571,x46572)),f331(f261(x46571,x46572,a923),f331(f331(f7(x46571,f935(x46572,a923),f935(x46572,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x46572,a923),f935(x46572,a923)),x46571),f8(a923,a923,x46572)),f331(f331(f8(a923,f935(a923,a923),x46571),a329),f331(f331(f7(x46571,f935(x46571,a923),a923),f333(x46571)),x46573)))),f331(f331(f7(x46572,f935(x46572,a923),a923),f333(x46572)),x46574)))),f234(x46571,x46572,x46573,x46574))
% 204.30/204.30 [4693]E(f331(f331(f39(x46931,f935(f934(x46931,x46932),a923)),x46933),f331(f331(f18(x46931,f935(x46932,f935(f934(x46931,x46932),a923)),f935(f934(x46931,x46932),a923)),f331(f331(f8(f935(x46932,a923),f935(f935(x46932,f935(f934(x46931,x46932),a923)),f935(f934(x46931,x46932),a923)),x46931),f39(x46932,f935(f934(x46931,x46932),a923))),x46934)),f331(f331(f7(x46931,f935(f934(x46931,x46932),a923),f935(x46932,f935(f934(x46931,x46932),a923))),f331(f331(f8(f935(x46932,f935(f935(f934(x46931,x46932),a923),f935(f934(x46931,x46932),a923))),f935(f935(f934(x46931,x46932),a923),f935(x46932,f935(f934(x46931,x46932),a923))),x46931),f7(x46932,f935(f934(x46931,x46932),a923),f935(f934(x46931,x46932),a923))),f331(f331(f8(f935(x46932,f934(x46931,x46932)),f935(x46932,f935(f935(f934(x46931,x46932),a923),f935(f934(x46931,x46932),a923))),x46931),f331(f8(f934(x46931,x46932),f935(f935(f934(x46931,x46932),a923),f935(f934(x46931,x46932),a923)),x46932),f313(f934(x46931,x46932)))),f256(x46931,x46932)))),f192(f935(f934(x46931,x46932),a923))))),f331(f331(f258(x46931,x46932),x46933),x46934))
% 204.30/204.30 [4259]E(f331(f331(f138(x42591),f331(f331(f179(x42591),x42592),x42593)),f331(f331(f179(x42591),f331(f331(f23(a927),x42592),f331(f193(f928(x42591)),x42593))),x42594)),f331(f331(f179(x42591),x42592),f331(f331(f138(x42591),x42593),x42594)))
% 204.30/204.30 [4260]E(f331(f331(f138(x42601),f331(f331(f142(x42601),x42602),x42603)),f331(f331(f142(x42601),f331(f331(f23(a927),x42602),f331(f193(f928(x42601)),x42603))),x42604)),f331(f331(f142(x42601),x42602),f331(f331(f138(x42601),x42603),x42604)))
% 204.30/204.30 [4309]E(f331(f331(f80(a927),f331(f331(f81(a927),x43091),x43092)),f331(f331(f80(a927),f331(f331(f81(a927),x43093),x43092)),x43094)),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f80(a927),x43091),x43093)),x43092)),x43094))
% 204.30/204.30 [4455]E(f90(x44551,f331(f331(f7(x44551,x44552,a923),f331(f331(f8(x44552,f935(x44552,a923),x44551),a328),x44553)),x44554)),f331(f92(x44551,x44552,f246(f935(x44551,a923)),x44553),x44554))
% 204.30/204.30 [4503]P107(f331(f331(f239(f935(x45031,a923)),f331(f331(f23(f935(x45031,a923)),f331(f288(x45032,x45031),x45033)),f331(f288(x45032,x45031),x45034))),f331(f288(x45032,x45031),f331(f331(f23(f935(f934(x45032,x45031),a923)),x45033),x45034))))
% 204.30/204.30 [4504]P107(f331(f331(f239(f935(x45041,a923)),f331(f331(f23(f935(x45041,a923)),f331(f268(x45041,x45042),x45043)),f331(f268(x45041,x45042),x45044))),f331(f268(x45041,x45042),f331(f331(f23(f935(f934(x45041,x45042),a923)),x45043),x45044))))
% 204.30/204.30 [4612]E(f331(f331(f80(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x46121),x46122)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x46123),x46124)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),f331(f331(f80(a927),x46121),x46123)),f331(f331(f80(a927),x46122),x46124))),f192(f935(f934(a927,a927),a923))))))
% 204.30/204.30 [4652]E(f331(f331(f81(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x46521),x46522)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x46523),x46524)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),f331(f331(f80(a927),f331(f331(f81(a927),x46521),x46523)),f331(f331(f81(a927),x46522),x46524))),f331(f331(f80(a927),f331(f331(f81(a927),x46521),x46524)),f331(f331(f81(a927),x46522),x46523)))),f192(f935(f934(a927,a927),a923))))))
% 204.30/204.30 [4673]E(f331(f266(x46731),f331(f331(f8(f935(x46732,a923),a923,x46731),f88(x46732)),f331(f331(f8(f935(x46732,a923),f935(x46732,a923),x46731),f331(f18(x46732,a923,a923),f331(f331(f8(a923,f935(a923,a923),x46732),a334),f331(f331(f7(x46732,f935(x46732,a923),a923),f333(x46732)),x46733)))),f331(f331(f7(x46731,f935(x46732,f935(x46731,a923)),f935(x46732,a923)),f331(f331(f8(f935(f935(x46731,a923),a923),f935(f935(x46732,f935(x46731,a923)),f935(x46732,a923)),x46731),f8(f935(x46731,a923),a923,x46732)),f333(x46731))),x46734)))),f331(f331(f40(x46732,f935(x46731,a923)),x46733),x46734))
% 204.30/204.30 [4706]E(f331(f331(f293(x47061,x47061,x47061),f331(f331(f313(f934(x47061,x47061)),f331(f331(f256(x47061,x47061),x47062),x47063)),x47064)),f311(x47061,f331(f331(f313(f934(x47061,x47061)),f331(f331(f256(x47061,x47061),x47062),x47063)),x47064))),f331(f331(f114(f935(f934(x47061,x47061),a923)),f331(f331(f293(x47061,x47061,x47061),x47064),f311(x47061,x47064))),f331(f266(f934(x47061,x47061)),f331(f261(x47061,x47061,a923),f331(f331(f7(x47061,f935(x47061,a923),f935(x47061,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x47061,a923),f935(x47061,a923)),x47061),f8(a923,a923,x47061)),f331(f331(f8(a923,f935(a923,a923),x47061),a329),f331(f331(f7(x47061,f935(f934(x47061,x47061),a923),a923),f331(f331(f8(f934(x47061,x47061),f935(f935(f934(x47061,x47061),a923),a923),x47061),f333(f934(x47061,x47061))),f331(f331(f7(x47061,x47061,f934(x47061,x47061)),f256(x47061,x47061)),x47062))),f311(x47061,x47064))))),f331(f331(f7(x47061,f935(f934(x47061,x47061),a923),a923),f331(f331(f8(f934(x47061,x47061),f935(f935(f934(x47061,x47061),a923),a923),x47061),f333(f934(x47061,x47061))),f331(f256(x47061,x47061),x47063))),f311(x47061,x47064)))))))
% 204.30/204.30 [4505]E(f331(f140(x45051,f331(f331(f18(x45051,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45051),a329),x45052)),x45053)),x45054),f331(f140(x45051,x45053),f331(f140(x45051,x45052),x45054)))
% 204.30/204.30 [4606]E(f331(f331(f138(x46061),f331(f331(f331(f100(f928(x46061)),f331(f331(f333(a927),f2(a927)),x46062)),f331(f331(f155(x46061),x46063),f117(x46061))),f117(x46061))),f180(x46061,x46064,f331(f266(a927),f331(f331(f7(a927,f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),a927),f333(a927)),a116)),x46062)))),f180(x46061,f331(f331(f155(x46061),x46063),x46064),x46062))
% 204.30/204.30 [4702]E(f331(f266(f934(x47021,x47022)),f331(f331(f8(f935(a927,a923),a923,f934(x47021,x47022)),f87(a927)),f331(f331(f7(f934(x47021,x47022),f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),f934(x47021,x47022)),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),f934(x47021,x47022)),f331(f8(a923,f935(a923,a923),a927),a329)),f331(f331(f7(f934(x47021,x47022),f935(a927,f934(x47021,x47022)),f935(a927,a923)),f331(f331(f8(f935(f934(x47021,x47022),a923),f935(f935(a927,f934(x47021,x47022)),f935(a927,a923)),f934(x47021,x47022)),f8(f934(x47021,x47022),a923,a927)),a328)),f331(f331(f18(a927,x47022,f934(x47021,x47022)),f331(f331(f8(x47021,f935(x47022,f934(x47021,x47022)),a927),f256(x47021,x47022)),f331(f168(x47021),x47023))),f331(f168(x47022),x47024)))))),f331(f331(f7(a927,a927,a923),f240(a927)),f331(f331(f237(a927),f331(f193(f928(x47021)),x47023)),f331(f193(f928(x47022)),x47024)))))),f331(f176(f934(x47021,x47022)),f331(f331(f185(x47021,x47022),x47023),x47024)))
% 204.30/204.30 [4625]E(f331(f266(f934(x46251,x46252)),f331(f261(x46251,x46252,a923),f331(f331(f7(x46251,f935(x46252,a923),f935(x46252,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x46252,a923),f935(x46252,a923)),x46251),f8(a923,a923,x46252)),f331(f331(f8(a923,f935(a923,a923),x46251),a329),x46253))),x46254))),f331(f331(f258(x46251,x46252),f331(f266(x46251),x46253)),f331(f16(f935(x46252,a923),x46251),f331(f266(x46252),x46254))))
% 204.30/204.30 [4628]E(f331(f266(f934(x46281,x46282)),f331(f261(x46281,x46282,a923),f331(f331(f18(x46281,f935(x46282,a923),f935(x46282,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x46282,a923),f935(x46282,a923)),x46281),f8(a923,a923,x46282)),f331(f331(f8(a923,f935(a923,a923),x46281),a329),x46283))),x46284))),f331(f331(f258(x46281,x46282),f331(f266(x46281),x46283)),f331(f331(f8(f935(x46282,a923),f935(x46282,a923),x46281),f266(x46282)),x46284)))
% 204.30/204.30 [4640]E(f331(f266(x46401),f331(f331(f8(f935(x46402,a923),a923,x46401),f88(x46402)),f331(f331(f8(f935(x46402,a923),f935(x46402,a923),x46401),f331(f18(x46402,a923,a923),f331(f331(f8(a923,f935(a923,a923),x46402),a334),f331(f331(f7(x46402,f935(x46402,a923),a923),f333(x46402)),x46403)))),x46404))),f331(f331(f40(x46402,f935(x46401,a923)),x46403),f331(f331(f8(f935(x46401,a923),f935(x46401,a923),x46402),f266(x46401)),f331(f7(x46401,x46402,a923),x46404))))
% 204.30/204.30 [4685]E(f331(f331(f158(f934(x46851,a927),x46851),f255(x46851,a927)),f331(f140(f934(x46851,a927),f331(f331(f7(f934(x46851,a927),f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),f934(x46851,a927)),f333(a927)),f260(x46851,a927))),x46852)),f331(f331(f185(x46851,a927),x46853),f143(a927,f331(f306(a927,x46854),f331(f331(f80(a927),x46854),f331(f193(f928(x46851)),x46853))))))),f331(f331(f158(f934(x46851,a927),x46851),f255(x46851,a927)),f331(f140(f934(x46851,a927),f331(f331(f7(f934(x46851,a927),f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),f934(x46851,a927)),f333(a927)),f331(f331(f7(f934(x46851,a927),a927,a927),f331(f331(f8(a927,f935(a927,a927),f934(x46851,a927)),f80(a927)),f260(x46851,a927))),x46854))),x46852)),f331(f331(f185(x46851,a927),x46853),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(x46851)),x46853)))))))
% 204.30/204.30 [4686]E(f331(a116,f331(f331(f238(a927),f331(f193(f928(x46861)),x46862)),f331(f146(a927,f928(x46863),f331(f7(f928(x46863),a927,a927),f331(f331(f8(a927,f935(a927,a927),f928(x46863)),f238(a927)),f331(f331(f7(f928(x46863),a927,a927),f331(f331(f8(a927,f935(a927,a927),f928(x46863)),f23(a927)),f193(f928(x46863)))),f331(a116,f2(a927))))),f2(a927)),f331(f172(f928(x46863)),f331(f140(f928(x46863),f331(f331(f8(a923,a923,f928(x46863)),a326),f331(f331(f7(f928(x46863),f928(x46863),a923),a328),f117(x46863)))),x46864))))),f331(f331(f238(a927),f331(a116,f331(f193(f928(x46861)),x46862))),f331(f146(a927,f928(x46863),f331(f7(f928(x46863),a927,a927),f331(f331(f8(a927,f935(a927,a927),f928(x46863)),f238(a927)),f193(f928(x46863)))),f2(a927)),f331(f172(f928(x46863)),x46864))))
% 204.30/204.30 [4639]E(f331(f331(f138(x46391),f180(x46391,x46392,x46393)),f180(x46391,x46394,f331(f266(a927),f331(f331(f7(a927,f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),a927),f333(a927)),f331(f331(f7(a927,a927,a927),f80(a927)),f331(f193(f928(x46391)),x46392)))),x46393)))),f180(x46391,f331(f331(f138(x46391),x46392),x46394),x46393))
% 204.30/204.30 [4687]E(f37(f935(x46871,a923),f331(f266(f935(x46871,a923)),f331(f331(f8(f935(x46872,a923),a923,f935(x46871,a923)),f87(x46872)),f331(f331(f8(f935(x46872,a923),f935(x46872,a923),f935(x46871,a923)),f331(f18(x46872,a923,a923),f331(f331(f8(a923,f935(a923,a923),x46872),a329),f331(f331(f7(x46872,f935(x46872,a923),a923),f333(x46872)),x46873)))),f331(f331(f7(f935(x46871,a923),f935(x46872,f935(x46871,a923)),f935(x46872,a923)),f331(f331(f8(f935(f935(x46871,a923),a923),f935(f935(x46872,f935(x46871,a923)),f935(x46872,a923)),f935(x46871,a923)),f8(f935(x46871,a923),a923,x46872)),a328)),x46874))))),f331(f331(f39(x46872,f935(x46871,a923)),x46873),x46874))
% 204.30/204.30 [4688]E(f38(f935(x46881,a923),f331(f266(f935(x46881,a923)),f331(f331(f8(f935(x46882,a923),a923,f935(x46881,a923)),f87(x46882)),f331(f331(f8(f935(x46882,a923),f935(x46882,a923),f935(x46881,a923)),f331(f18(x46882,a923,a923),f331(f331(f8(a923,f935(a923,a923),x46882),a329),f331(f331(f7(x46882,f935(x46882,a923),a923),f333(x46882)),x46883)))),f331(f331(f7(f935(x46881,a923),f935(x46882,f935(x46881,a923)),f935(x46882,a923)),f331(f331(f8(f935(f935(x46881,a923),a923),f935(f935(x46882,f935(x46881,a923)),f935(x46882,a923)),f935(x46881,a923)),f8(f935(x46881,a923),a923,x46882)),a328)),x46884))))),f331(f331(f40(x46882,f935(x46881,a923)),x46883),x46884))
% 204.30/204.30 [4695]E(f331(f331(f155(f928(x46951)),f331(f331(f155(x46951),x46952),f331(f146(f928(x46951),f928(x46951),f138(x46951),f117(x46951)),f331(f331(f158(f928(x46951),f928(x46951)),f160(f928(x46951),x46951,f117(x46951),f331(f331(f8(f928(x46951),f935(f928(x46951),f928(x46951)),x46951),f16(f928(x46951),f928(x46951))),f331(f331(f7(x46951,f928(x46951),f928(x46951)),f155(x46951)),f117(x46951))))),x46953)))),f183(x46951,f331(f331(f155(f928(x46951)),x46954),f331(f146(f928(f928(x46951)),f928(f928(x46951)),f138(f928(x46951)),f117(f928(x46951))),f331(f331(f158(f928(x46951),f928(f928(x46951))),f160(f928(f928(x46951)),x46951,f117(f928(x46951)),f331(f16(f935(f928(x46951),f928(f928(x46951))),x46951),f331(f331(f7(f928(x46951),f928(f928(x46951)),f928(f928(x46951))),f155(f928(x46951))),f117(f928(x46951)))))),x46953))))),f183(x46951,f331(f331(f155(f928(x46951)),f331(f331(f155(x46951),x46952),x46954)),x46953)))
% 204.30/204.30 [4703]E(f331(f266(f934(x47031,x47031)),f331(f261(x47031,x47031,a923),f331(f331(f7(x47031,f935(f934(x47032,x47032),a923),f935(x47031,a923)),f331(f331(f8(f935(x47031,f935(f935(f934(x47032,x47032),a923),a923)),f935(f935(f934(x47032,x47032),a923),f935(x47031,a923)),x47031),f7(x47031,f935(f934(x47032,x47032),a923),a923)),f331(f331(f8(f935(x47031,f934(x47032,x47032)),f935(x47031,f935(f935(f934(x47032,x47032),a923),a923)),x47031),f331(f8(f934(x47032,x47032),f935(f935(f934(x47032,x47032),a923),a923),x47031),f333(f934(x47032,x47032)))),f331(f331(f7(x47031,f935(x47031,x47032),f935(x47031,f934(x47032,x47032))),f331(f331(f8(f935(x47032,f934(x47032,x47032)),f935(f935(x47031,x47032),f935(x47031,f934(x47032,x47032))),x47031),f8(x47032,f934(x47032,x47032),x47031)),f331(f331(f8(x47032,f935(x47032,f934(x47032,x47032)),x47031),f256(x47032,x47032)),x47033))),x47033)))),x47034))),f331(f331(f292(x47032,x47031),x47034),x47033))
% 204.30/204.30 [4754]~E(f30(x47541,x47542),f27(x47543,x47544,x47545))
% 204.30/204.30 [4755]~E(f30(x47551,x47552),f26(x47553,x47554,x47555))
% 204.30/204.30 [4756]~E(f29(x47561,x47562),f27(x47563,x47564,x47565))
% 204.30/204.30 [4757]~E(f29(x47571,x47572),f26(x47573,x47574,x47575))
% 204.30/204.30 [4758]~E(f27(x47581,x47582,x47583),f30(x47584,x47585))
% 204.30/204.30 [4759]~E(f27(x47591,x47592,x47593),f29(x47594,x47595))
% 204.30/204.30 [4760]~E(f26(x47601,x47602,x47603),f30(x47604,x47605))
% 204.30/204.30 [4761]~E(f26(x47611,x47612,x47613),f29(x47614,x47615))
% 204.30/204.30 [3833]E(f331(f331(f158(x38331,x38332),x38333),f173(x38331,x38334,x38335)),f173(x38332,x38334,f331(x38333,x38335)))
% 204.30/204.30 [4169]E(f134(x41691,x41692,x41693,f130(x41691,x41694,x41695)),f130(x41692,f331(x41693,x41694),f134(x41691,x41692,x41693,x41695)))
% 204.30/204.30 [4404]E(f331(f75(x44041,x44042,x44043,x44044,x44045),x44044),x44045)
% 204.30/204.30 [4456]E(f257(x44561,x44562,x44563,f247(x44562,x44561,x44564),f247(x44563,x44562,x44565)),f247(x44563,x44561,f257(x44563,x44562,x44561,x44565,x44564)))
% 204.30/204.30 [4026]E(f331(f331(f261(x40261,x40262,x40263),x40264),x40265),f331(f331(x40264,f331(f255(x40261,x40262),x40265)),f331(f260(x40261,x40262),x40265)))
% 204.30/204.30 [4062]E(f331(f331(f331(f65(x40621,x40622,x40623),x40624),x40625),f192(f935(x40622,a923))),x40625)
% 204.30/204.30 [4343]E(f331(f73(f928(x43431),f928(x43432),f928(x43433),f331(f158(x43431,x43432),x43434)),f331(f158(x43433,x43431),x43435)),f331(f158(x43433,x43432),f331(f73(x43431,x43432,x43433,x43434),x43435)))
% 204.30/204.30 [4418]E(f85(x44181,f66(x44182,x44181,x44183,x44184,x44185)),f331(f331(f64(x44182,x44181,x44183),x44184),x44185))
% 204.30/204.30 [4452]E(f331(f331(f80(a927),f331(f331(f80(a927),f331(x44521,f331(f255(x44522,x44523),x44524))),f331(x44525,f331(f260(x44522,x44523),x44524)))),f331(a116,f2(a927))),f265(x44522,x44523,x44521,x44525,x44524))
% 204.30/204.30 [3962]E(f331(f331(f179(x39621),x39622),f331(f331(f158(x39623,x39621),x39624),x39625)),f331(f331(f158(x39623,x39621),x39624),f331(f331(f179(x39623),x39622),x39625)))
% 204.30/204.30 [3963]E(f331(f331(f142(x39631),x39632),f331(f331(f158(x39633,x39631),x39634),x39635)),f331(f331(f158(x39633,x39631),x39634),f331(f331(f142(x39633),x39632),x39635)))
% 204.30/204.30 [3995]E(f331(f331(f158(x39951,x39952),x39953),f331(f331(f155(x39951),x39954),x39955)),f331(f331(f155(x39952),f331(x39953,x39954)),f331(f331(f158(x39951,x39952),x39953),x39955)))
% 204.30/204.30 [4056]E(f331(f314(x40561,x40562,x40563),f331(f331(f313(x40561),x40564),x40565)),f331(f331(f313(x40562),f331(x40563,x40564)),f331(f314(x40561,x40562,x40563),x40565)))
% 204.30/204.30 [4086]E(f177(x40861,f331(f331(f155(x40861),x40862),x40863),f331(f331(f155(x40861),x40864),x40865)),f331(f331(f155(x40861),x40862),f331(f331(f155(x40861),x40864),f177(x40861,x40863,x40865))))
% 204.30/204.30 [4123]E(f331(f331(f185(x41231,x41232),f331(f331(f179(x41231),x41233),x41234)),f331(f331(f179(x41232),x41233),x41235)),f331(f331(f179(f934(x41231,x41232)),x41233),f331(f331(f185(x41231,x41232),x41234),x41235)))
% 204.30/204.30 [4124]E(f331(f331(f185(x41241,x41242),f331(f331(f142(x41241),x41243),x41244)),f331(f331(f142(x41242),x41243),x41245)),f331(f331(f142(f934(x41241,x41242)),x41243),f331(f331(f185(x41241,x41242),x41244),x41245)))
% 204.30/204.30 [4134]E(f331(f331(f163(x41341,f331(f331(f155(x41341),x41342),x41343)),f331(a116,x41344)),x41345),f331(f331(f155(x41341),x41342),f331(f331(f163(x41341,x41343),x41344),x41345)))
% 204.30/204.30 [4137]E(f331(f331(f138(x41371),f331(f331(f158(x41372,x41371),x41373),x41374)),f331(f331(f158(x41372,x41371),x41373),x41375)),f331(f331(f158(x41372,x41371),x41373),f331(f331(f138(x41372),x41374),x41375)))
% 204.30/204.30 [4141]E(f331(f331(x41411,x41412),f331(f331(f249(x41413,x41414,x41411),x41412),x41415)),f331(f331(f249(x41413,x41414,x41411),x41412),f331(a116,x41415)))
% 204.30/204.30 [4173]E(f167(x41731,x41732,x41733,f331(f331(f155(x41731),x41734),x41735)),f331(f331(f138(x41732),f331(x41733,x41734)),f167(x41731,x41732,x41733,x41735)))
% 204.30/204.30 [4185]E(f331(f331(f293(x41851,x41852,x41853),f331(f290(x41852,x41851),x41854)),f331(f290(x41853,x41852),x41855)),f331(f290(x41853,x41851),f331(f331(f293(x41853,x41852,x41851),x41855),x41854)))
% 204.30/204.30 [4219]E(f331(f331(f331(f187(f928(x42191),f928(x42191)),x42192),f171(x42191)),f331(f331(f158(x42193,x42191),x42194),x42195)),f331(f331(f158(x42193,x42191),x42194),f331(f331(f331(f187(f928(x42193),f928(x42193)),x42192),f171(x42193)),x42195)))
% 204.30/204.30 [4220]E(f331(f331(f263(x42201,x42202,x42201,x42203),f331(f256(x42202,x42201),x42204)),x42205),f331(x42205,x42204))
% 204.30/204.30 [4245]E(f159(x42451,x42452,f331(f331(f158(x42453,x42451),x42454),x42455)),f159(x42453,f331(f73(x42451,a927,x42453,x42452),x42454),x42455))
% 204.30/204.30 [4308]E(f181(f934(x43081,x43082),f331(f73(x43082,a923,f934(x43081,x43082),x43083),f260(x43081,x43082)),f331(f331(f185(x43081,x43082),x43084),x43085)),f331(f331(f185(x43081,x43082),x43084),f181(x43082,x43083,x43085)))
% 204.30/204.30 [4313]E(f331(f314(x43131,x43132,f331(f331(f8(x43133,x43132,x43131),x43134),x43135)),f246(f935(x43131,a923))),f331(f314(x43133,x43132,x43134),f331(f314(x43131,x43133,x43135),f246(f935(x43131,a923)))))
% 204.30/204.30 [4326]E(f181(f934(x43261,x43262),f331(f73(x43261,a923,f934(x43261,x43262),x43263),f255(x43261,x43262)),f331(f331(f185(x43261,x43262),x43264),x43265)),f331(f331(f185(x43261,x43262),f181(x43261,x43263,x43264)),x43265))
% 204.30/204.30 [4347]E(f331(f331(f114(f935(x43471,a923)),f331(f315(x43471,x43472,x43473),f331(f331(f313(x43472),x43474),f192(f935(x43472,a923))))),f331(f315(x43471,x43472,x43473),x43475)),f331(f315(x43471,x43472,x43473),f331(f331(f313(x43472),x43474),x43475)))
% 204.30/204.30 [4403]E(f331(f331(f138(f934(x44031,x44032)),f331(f331(f158(x44032,f934(x44031,x44032)),f331(f256(x44031,x44032),x44033)),x44034)),f59(x44031,x44032,x44035,x44034)),f59(x44031,x44032,f331(f331(f155(x44031),x44033),x44035),x44034))
% 204.30/204.30 [4405]E(f331(f331(f158(x44051,x44052),x44053),f181(x44051,f331(f73(x44052,a923,x44051,x44054),x44053),x44055)),f181(x44052,x44054,f331(f331(f158(x44051,x44052),x44053),x44055)))
% 204.30/204.30 [4410]E(f331(f146(x44101,x44102,f331(f7(x44102,x44101,x44101),f331(f7(x44101,x44102,x44101),x44103)),x44104),f331(f172(x44102),f331(f172(x44102),x44105))),f331(f146(x44101,x44102,x44103,x44104),x44105))
% 204.30/204.30 [4513]P107(f331(f331(f239(f935(x45131,a923)),f331(f314(x45132,x45131,x45133),f331(f331(f105(f935(x45132,a923)),x45134),x45135))),f331(f331(f105(f935(x45131,a923)),f331(f314(x45132,x45131,x45133),x45134)),f331(f314(x45132,x45131,x45133),x45135))))
% 204.30/204.30 [4514]P107(f331(f331(f239(f935(x45141,a923)),f331(f289(x45142,x45141,x45143),f331(f331(f105(f935(x45142,a923)),x45144),x45145))),f331(f331(f105(f935(x45141,a923)),f331(f289(x45142,x45141,x45143),x45144)),f331(f289(x45142,x45141,x45143),x45145))))
% 204.30/204.30 [4613]E(f331(f260(x46131,x46132),f331(f262(x46133,x46131,x46132,x46132,x46134,f32(x46132)),x46135)),f331(f260(x46133,x46132),x46135))
% 204.30/204.30 [4614]E(f331(f255(x46141,x46142),f331(f262(x46141,x46141,x46143,x46142,f32(x46141),x46144),x46145)),f331(f255(x46141,x46143),x46145))
% 204.30/204.30 [4701]P23(x47011,x47012,f331(f331(f313(f926(x47011)),f331(f331(f331(f91(x47011),f331(f331(f7(x47011,f935(a924,a923),f935(a924,a923)),f331(f331(f8(f935(a924,f935(a923,a923)),f935(f935(a924,a923),f935(a924,a923)),x47011),f18(a924,a923,a923)),f331(f331(f8(f935(a924,a923),f935(a924,f935(a923,a923)),x47011),f331(f8(a923,f935(a923,a923),a924),a329)),x47013))),f331(f331(f8(a923,a923,a924),a326),x47014))),f29(x47014,x47015)),x47013)),f192(f935(f926(x47011),a923))))
% 204.30/204.30 [3803]E(f331(f331(f331(f331(f209(x38031),x38032),x38033),x38034),x38035),f196(x38031,x38032))
% 204.30/204.30 [3804]E(f331(f331(f331(f331(f213(x38041),x38042),x38043),x38044),x38045),f204(x38041,x38042))
% 204.30/204.30 [3849]E(f97(x38491,x38492,f331(f331(f331(f91(x38491),x38493),x38494),x38495)),f2(a927))
% 204.30/204.30 [4174]E(f331(f331(f39(x41741,f935(x41742,a923)),f331(f331(f313(x41741),x41743),x41744)),x41745),f331(f331(f114(f935(x41742,a923)),f331(x41745,x41743)),f331(f331(f39(x41741,f935(x41742,a923)),x41744),x41745)))
% 204.30/204.30 [4175]E(f331(f331(f40(x41751,f935(x41752,a923)),f331(f331(f313(x41751),x41753),x41754)),x41755),f331(f331(f105(f935(x41752,a923)),f331(x41755,x41753)),f331(f331(f40(x41751,f935(x41752,a923)),x41754),x41755)))
% 204.30/204.30 [4227]E(f331(f122(x42271,x42272,f331(x42273,x42274)),f331(f331(f7(x42271,a103,f929(x42272)),x42275),x42274)),f331(f202(x42271,x42272,x42273,x42275),x42274))
% 204.30/204.30 [4239]E(f331(f331(f114(f935(x42391,a923)),f331(f314(x42392,x42391,x42393),x42394)),f331(f314(x42392,x42391,x42393),x42395)),f331(f314(x42392,x42391,x42393),f331(f331(f114(f935(x42392,a923)),x42394),x42395)))
% 204.30/204.30 [4240]E(f331(f331(f114(f935(x42401,a923)),f331(f289(x42402,x42401,x42403),x42404)),f331(f289(x42402,x42401,x42403),x42405)),f331(f289(x42402,x42401,x42403),f331(f331(f114(f935(x42402,a923)),x42404),x42405)))
% 204.30/204.30 [4241]E(f331(f331(f114(f935(x42411,a923)),f331(f315(x42411,x42412,x42413),x42414)),f331(f315(x42411,x42412,x42413),x42415)),f331(f315(x42411,x42412,x42413),f331(f331(f114(f935(x42412,a923)),x42414),x42415)))
% 204.30/204.30 [4242]E(f331(f331(f23(f935(x42421,a923)),f331(f315(x42421,x42422,x42423),x42424)),f331(f315(x42421,x42422,x42423),x42425)),f331(f315(x42421,x42422,x42423),f331(f331(f23(f935(x42422,a923)),x42424),x42425)))
% 204.30/204.30 [4243]E(f331(f331(f105(f935(x42431,a923)),f331(f315(x42431,x42432,x42433),x42434)),f331(f315(x42431,x42432,x42433),x42435)),f331(f315(x42431,x42432,x42433),f331(f331(f105(f935(x42432,a923)),x42434),x42435)))
% 204.30/204.30 [4304]E(f331(f331(f163(x43041,f331(f331(f138(x43041),x43042),f331(f331(f155(x43041),x43043),x43044))),f331(f193(f928(x43041)),x43042)),x43045),f331(f331(f138(x43041),x43042),f331(f331(f155(x43041),x43045),x43044)))
% 204.30/204.30 [4311]E(f331(f331(f40(x43111,f935(x43112,a923)),x43113),f331(f331(f8(f935(x43112,a923),f935(x43112,a923),x43111),f331(f313(x43112),x43114)),x43115)),f331(f331(f313(x43112),x43114),f331(f331(f40(x43111,f935(x43112,a923)),x43113),x43115)))
% 204.30/204.30 [4465]E(f331(f331(f158(x44651,x44652),x44653),f331(f140(x44651,f331(f73(x44652,a923,x44651,x44654),x44653)),x44655)),f331(f140(x44652,x44654),f331(f331(f158(x44651,x44652),x44653),x44655)))
% 204.30/204.30 [4471]E(f331(f193(f928(x44711)),f331(f140(x44711,x44712),f331(f331(f158(x44713,x44711),x44714),x44715))),f331(f193(f928(x44713)),f331(f140(x44713,f331(f73(x44711,a923,x44713,x44712),x44714)),x44715)))
% 204.30/204.30 [4678]E(f331(f160(f928(f934(x46781,x46782)),x46782,f117(f934(x46781,x46782)),f331(f331(f7(x46782,f935(f928(x46782),f928(f934(x46781,x46782))),f935(f928(x46782),f928(f934(x46781,x46782)))),f331(f331(f8(f935(f928(f934(x46781,x46782)),f928(f934(x46781,x46782))),f935(f935(f928(x46782),f928(f934(x46781,x46782))),f935(f928(x46782),f928(f934(x46781,x46782)))),x46782),f8(f928(f934(x46781,x46782)),f928(f934(x46781,x46782)),f928(x46782))),f331(f331(f8(f934(x46781,x46782),f935(f928(f934(x46781,x46782)),f928(f934(x46781,x46782))),x46782),f155(f934(x46781,x46782))),f331(f256(x46781,x46782),x46783)))),f331(f185(x46781,x46782),x46784))),x46785),f331(f331(f185(x46781,x46782),f331(f331(f155(x46781),x46783),x46784)),x46785))
% 204.30/204.30 [4166]E(f331(f331(f163(x41661,f331(f331(f163(x41661,x41662),x41663),x41664)),x41663),x41665),f331(f331(f163(x41661,x41662),x41663),x41665))
% 204.30/204.30 [4221]E(f331(f288(x42211,x42212),f331(f331(f313(f934(x42211,x42212)),f331(f331(f256(x42211,x42212),x42213),x42214)),x42215)),f331(f331(f313(x42212),x42214),f331(f288(x42211,x42212),x42215)))
% 204.30/204.30 [4222]E(f331(f268(x42221,x42222),f331(f331(f313(f934(x42221,x42222)),f331(f331(f256(x42221,x42222),x42223),x42224)),x42225)),f331(f331(f313(x42221),x42223),f331(f268(x42221,x42222),x42225)))
% 204.30/204.30 [4269]E(f126(x42691,x42692,f331(x42693,x42694),f331(f331(f7(x42691,a103,f929(f931(x42692))),x42695),x42694)),f331(f200(x42691,x42692,x42693,x42695),x42694))
% 204.30/204.30 [4297]E(f331(f331(f114(f935(f934(x42971,x42972),a923)),f331(f331(f258(x42971,x42972),x42973),x42974)),f331(f331(f258(x42971,x42972),x42975),x42974)),f331(f331(f258(x42971,x42972),f331(f331(f114(f935(x42971,a923)),x42973),x42975)),x42974))
% 204.30/204.30 [4298]E(f331(f331(f23(f935(f934(x42981,x42982),a923)),f331(f331(f258(x42981,x42982),x42983),x42984)),f331(f331(f258(x42981,x42982),x42985),x42984)),f331(f331(f258(x42981,x42982),f331(f331(f23(f935(x42981,a923)),x42983),x42985)),x42984))
% 204.30/204.30 [4299]E(f331(f331(f105(f935(f934(x42991,x42992),a923)),f331(f331(f258(x42991,x42992),x42993),x42994)),f331(f331(f258(x42991,x42992),x42995),x42994)),f331(f331(f258(x42991,x42992),f331(f331(f105(f935(x42991,a923)),x42993),x42995)),x42994))
% 204.30/204.30 [4358]E(f331(f331(f114(f935(x43581,a923)),f331(f331(f39(x43582,f935(x43581,a923)),x43583),x43584)),f331(f331(f39(x43582,f935(x43581,a923)),x43585),x43584)),f331(f331(f39(x43582,f935(x43581,a923)),f331(f331(f114(f935(x43582,a923)),x43583),x43585)),x43584))
% 204.30/204.30 [4359]E(f331(f331(f105(f935(x43591,a923)),f331(f331(f40(x43592,f935(x43591,a923)),x43593),x43594)),f331(f331(f40(x43592,f935(x43591,a923)),x43595),x43594)),f331(f331(f40(x43592,f935(x43591,a923)),f331(f331(f114(f935(x43592,a923)),x43593),x43595)),x43594))
% 204.30/204.30 [4373]E(f331(f331(f39(x43731,f935(x43732,a923)),x43733),f331(f331(f8(f935(x43732,a923),f935(x43732,a923),x43731),f331(f23(f935(x43732,a923)),x43734)),x43735)),f331(f331(f23(f935(x43732,a923)),x43734),f331(f331(f40(x43731,f935(x43732,a923)),x43733),x43735)))
% 204.30/204.30 [4374]E(f331(f331(f39(x43741,f935(x43742,a923)),x43743),f331(f331(f8(f935(x43742,a923),f935(x43742,a923),x43741),f331(f105(f935(x43742,a923)),x43744)),x43745)),f331(f331(f105(f935(x43742,a923)),x43744),f331(f331(f39(x43741,f935(x43742,a923)),x43743),x43745)))
% 204.30/204.30 [4375]E(f331(f331(f40(x43751,f935(x43752,a923)),x43753),f331(f331(f8(f935(x43752,a923),f935(x43752,a923),x43751),f331(f114(f935(x43752,a923)),x43754)),x43755)),f331(f331(f114(f935(x43752,a923)),x43754),f331(f331(f40(x43751,f935(x43752,a923)),x43753),x43755)))
% 204.30/204.30 [4430]E(f189(f928(x44301),f331(f331(f155(x44301),x44302),x44303),f331(f331(f8(f928(x44301),f928(x44301),a927),f331(f155(x44301),x44304)),f331(f331(f7(a927,x44301,f928(x44301)),f163(x44301,x44303)),x44302)),x44305),f331(f331(f163(x44301,f331(f331(f155(x44301),x44304),x44303)),x44305),x44302))
% 204.30/204.30 [4434]E(f331(f331(f39(x44341,f935(f934(x44342,x44343),a923)),x44344),f331(f331(f8(f935(f934(x44343,x44342),a923),f935(f934(x44342,x44343),a923),x44341),f290(x44343,x44342)),x44345)),f331(f290(x44343,x44342),f331(f331(f39(x44341,f935(f934(x44343,x44342),a923)),x44344),x44345)))
% 204.30/204.30 [4435]E(f331(f331(f40(x44351,f935(f934(x44352,x44353),a923)),x44354),f331(f331(f8(f935(f934(x44353,x44352),a923),f935(f934(x44352,x44353),a923),x44351),f290(x44353,x44352)),x44355)),f331(f290(x44353,x44352),f331(f331(f40(x44351,f935(f934(x44353,x44352),a923)),x44354),x44355)))
% 204.30/204.30 [4536]P107(f331(f331(f239(f935(x45361,a923)),f331(f331(f23(f935(x45361,a923)),f331(f314(x45362,x45361,x45363),x45364)),f331(f314(x45362,x45361,x45363),x45365))),f331(f314(x45362,x45361,x45363),f331(f331(f23(f935(x45362,a923)),x45364),x45365))))
% 204.30/204.30 [4681]E(f331(f160(f928(f934(x46811,x46812)),x46811,f117(f934(x46811,x46812)),f331(f331(f7(x46811,f935(f928(x46811),f928(f934(x46811,x46812))),f935(f928(x46811),f928(f934(x46811,x46812)))),f331(f331(f8(f935(f928(f934(x46811,x46812)),f928(f934(x46811,x46812))),f935(f935(f928(x46811),f928(f934(x46811,x46812))),f935(f928(x46811),f928(f934(x46811,x46812)))),x46811),f8(f928(f934(x46811,x46812)),f928(f934(x46811,x46812)),f928(x46811))),f331(f331(f8(f934(x46811,x46812),f935(f928(f934(x46811,x46812)),f928(f934(x46811,x46812))),x46811),f155(f934(x46811,x46812))),f331(f331(f7(x46811,x46812,f934(x46811,x46812)),f256(x46811,x46812)),x46813)))),f331(f331(f7(f928(x46811),f928(x46812),f928(f934(x46811,x46812))),f185(x46811,x46812)),x46814))),x46815),f331(f331(f185(x46811,x46812),x46815),f331(f331(f155(x46812),x46813),x46814)))
% 204.30/204.30 [4399]E(f331(f331(f114(f935(x43991,a923)),f331(f289(x43992,x43991,x43993),x43994)),f331(f289(x43992,x43991,x43995),x43994)),f331(f289(x43992,x43991,f331(f331(f114(f935(f934(x43992,x43991),a923)),x43993),x43995)),x43994))
% 204.30/204.30 [4436]E(f331(f331(f138(f934(x44361,x44362)),f331(f331(f185(x44361,x44362),x44363),f331(f331(f179(x44362),f331(f193(f928(x44361)),x44363)),x44364))),f331(f331(f185(x44361,x44362),x44365),f331(f331(f142(x44362),f331(f193(f928(x44361)),x44363)),x44364))),f331(f331(f185(x44361,x44362),f331(f331(f138(x44361),x44363),x44365)),x44364))
% 204.30/204.30 [4539]E(f331(f331(f258(x45391,x45392),x45393),f331(f331(f18(x45391,f935(x45392,a923),f935(x45392,a923)),f331(f331(f8(f935(x45392,a923),f935(f935(x45392,a923),f935(x45392,a923)),x45391),f114(f935(x45392,a923))),x45394)),x45395)),f331(f331(f114(f935(f934(x45391,x45392),a923)),f331(f331(f258(x45391,x45392),x45393),x45394)),f331(f331(f258(x45391,x45392),x45393),x45395)))
% 204.30/204.30 [4540]E(f331(f331(f258(x45401,x45402),x45403),f331(f331(f18(x45401,f935(x45402,a923),f935(x45402,a923)),f331(f331(f8(f935(x45402,a923),f935(f935(x45402,a923),f935(x45402,a923)),x45401),f23(f935(x45402,a923))),x45404)),x45405)),f331(f331(f23(f935(f934(x45401,x45402),a923)),f331(f331(f258(x45401,x45402),x45403),x45404)),f331(f331(f258(x45401,x45402),x45403),x45405)))
% 204.30/204.30 [4541]E(f331(f331(f258(x45411,x45412),x45413),f331(f331(f18(x45411,f935(x45412,a923),f935(x45412,a923)),f331(f331(f8(f935(x45412,a923),f935(f935(x45412,a923),f935(x45412,a923)),x45411),f105(f935(x45412,a923))),x45414)),x45415)),f331(f331(f105(f935(f934(x45411,x45412),a923)),f331(f331(f258(x45411,x45412),x45413),x45414)),f331(f331(f258(x45411,x45412),x45413),x45415)))
% 204.30/204.30 [4545]E(f331(f331(f39(x45451,f935(x45452,a923)),x45453),f331(f331(f7(x45451,f935(x45452,a923),f935(x45452,a923)),f331(f331(f8(f935(x45452,a923),f935(f935(x45452,a923),f935(x45452,a923)),x45451),f23(f935(x45452,a923))),x45454)),x45455)),f331(f331(f23(f935(x45452,a923)),f331(f331(f39(x45451,f935(x45452,a923)),x45453),x45454)),x45455))
% 204.30/204.30 [4546]E(f331(f331(f39(x45461,f935(x45462,a923)),x45463),f331(f331(f7(x45461,f935(x45462,a923),f935(x45462,a923)),f331(f331(f8(f935(x45462,a923),f935(f935(x45462,a923),f935(x45462,a923)),x45461),f105(f935(x45462,a923))),x45464)),x45465)),f331(f331(f105(f935(x45462,a923)),f331(f331(f39(x45461,f935(x45462,a923)),x45463),x45464)),x45465))
% 204.30/204.30 [4547]E(f331(f331(f40(x45471,f935(x45472,a923)),x45473),f331(f331(f7(x45471,f935(x45472,a923),f935(x45472,a923)),f331(f331(f8(f935(x45472,a923),f935(f935(x45472,a923),f935(x45472,a923)),x45471),f114(f935(x45472,a923))),x45474)),x45475)),f331(f331(f114(f935(x45472,a923)),f331(f331(f40(x45471,f935(x45472,a923)),x45473),x45474)),x45475))
% 204.30/204.30 [4551]E(f331(f331(f39(x45511,f935(x45512,a923)),x45513),f331(f331(f18(x45511,f935(x45512,a923),f935(x45512,a923)),f331(f331(f8(f935(x45512,a923),f935(f935(x45512,a923),f935(x45512,a923)),x45511),f114(f935(x45512,a923))),x45514)),x45515)),f331(f331(f114(f935(x45512,a923)),f331(f331(f39(x45511,f935(x45512,a923)),x45513),x45514)),f331(f331(f39(x45511,f935(x45512,a923)),x45513),x45515)))
% 204.30/204.30 [4552]E(f331(f331(f40(x45521,f935(x45522,a923)),x45523),f331(f331(f18(x45521,f935(x45522,a923),f935(x45522,a923)),f331(f331(f8(f935(x45522,a923),f935(f935(x45522,a923),f935(x45522,a923)),x45521),f105(f935(x45522,a923))),x45524)),x45525)),f331(f331(f105(f935(x45522,a923)),f331(f331(f40(x45521,f935(x45522,a923)),x45523),x45524)),f331(f331(f40(x45521,f935(x45522,a923)),x45523),x45525)))
% 204.30/204.30 [4565]E(f331(f331(f39(x45651,f935(x45652,a923)),x45653),f331(f331(f18(x45651,f935(x45652,a923),f935(x45652,a923)),f331(f331(f8(f935(x45652,a923),f935(f935(x45652,a923),f935(x45652,a923)),x45651),f114(f935(x45652,a923))),x45654)),x45655)),f331(f331(f114(f935(x45652,a923)),f37(f935(x45652,a923),f331(f314(x45651,f935(x45652,a923),x45654),x45653))),f37(f935(x45652,a923),f331(f314(x45651,f935(x45652,a923),x45655),x45653))))
% 204.30/204.30 [4566]E(f331(f331(f40(x45661,f935(x45662,a923)),x45663),f331(f331(f18(x45661,f935(x45662,a923),f935(x45662,a923)),f331(f331(f8(f935(x45662,a923),f935(f935(x45662,a923),f935(x45662,a923)),x45661),f105(f935(x45662,a923))),x45664)),x45665)),f331(f331(f105(f935(x45662,a923)),f38(f935(x45662,a923),f331(f314(x45661,f935(x45662,a923),x45664),x45663))),f38(f935(x45662,a923),f331(f314(x45661,f935(x45662,a923),x45665),x45663))))
% 204.30/204.30 [4602]E(f331(f331(f142(x46021),f331(f193(f928(x46021)),f181(x46021,x46022,f331(f331(f158(x46023,x46021),x46024),x46025)))),f331(f331(f158(x46023,x46021),x46024),x46025)),f331(f331(f158(x46023,x46021),x46024),f331(f331(f142(x46023),f331(f193(f928(x46023)),f181(x46023,f331(f73(x46021,a923,x46023,x46022),x46024),x46025))),x46025)))
% 204.30/204.30 [4478]E(f331(f331(f138(f934(x44781,x44782)),f331(f331(f185(x44781,x44782),f331(f331(f179(x44781),f331(f193(f928(x44782)),x44783)),x44784)),x44783)),f331(f331(f185(x44781,x44782),f331(f331(f142(x44781),f331(f193(f928(x44782)),x44783)),x44784)),x44785)),f331(f331(f185(x44781,x44782),x44784),f331(f331(f138(x44782),x44783),x44785)))
% 204.30/204.30 [4593]E(f85(x45931,f331(f331(f18(x45931,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45931),a329),f331(f331(f7(x45931,f935(x45931,a923),a923),f333(x45931)),x45932))),f331(f331(f7(x45931,x45933,a923),f331(f331(f8(x45933,f935(x45933,a923),x45931),a328),x45934)),x45935))),f331(f77(x45931,x45933,x45932,x45934),x45935))
% 204.30/204.30 [4594]E(f90(x45941,f331(f331(f18(x45941,a923,a923),f331(f331(f8(a923,f935(a923,a923),x45941),a329),f331(f331(f7(x45941,f935(x45941,a923),a923),f333(x45941)),x45942))),f331(f331(f7(x45941,x45943,a923),f331(f331(f8(x45943,f935(x45943,a923),x45941),a328),x45944)),x45945))),f331(f92(x45941,x45943,x45942,x45944),x45945))
% 204.30/204.30 [4642]E(f331(f331(f86(a1,x46421),f331(f107(a1),f331(f331(f80(a1),x46422),a101))),f331(f331(f18(a1,x46421,x46421),f331(f331(f7(a1,x46421,f935(x46421,x46421)),f331(f331(f8(a923,f935(x46421,f935(x46421,x46421)),a1),f100(x46421)),a197)),f189(x46421,x46423,x46424,x46425))),f331(f331(f8(a927,x46421,a1),x46424),f331(f331(f7(a1,a927,a927),f331(f331(f8(a927,f935(a927,a927),a1),f80(a927)),a108)),x46425)))),f189(x46421,x46423,x46424,f331(f331(f80(a927),f331(f107(a927),x46422)),x46425)))
% 204.30/204.30 [4677]E(f331(f331(f86(a1,x46771),f331(f107(a1),f331(f331(f80(a1),x46772),a101))),f331(f331(f18(a1,x46771,x46771),f331(f331(f7(a1,x46771,f935(x46771,x46771)),f331(f331(f8(a923,f935(x46771,f935(x46771,x46771)),a1),f100(x46771)),a197)),f331(f188(x46771,x46773,x46774),x46775))),f331(f331(f18(a1,x46771,x46771),f331(f331(f8(a927,f935(x46771,x46771),a1),x46774),f331(f331(f7(a1,a927,a927),f331(f331(f8(a927,f935(a927,a927),a1),f80(a927)),a108)),x46775))),f331(f331(f8(a927,x46771,a1),f188(x46771,x46773,x46774)),f331(f331(f7(a1,a927,a927),f331(f331(f8(a927,f935(a927,a927),a1),f80(a927)),a108)),x46775))))),f331(f188(x46771,x46773,x46774),f331(f331(f80(a927),f331(f107(a927),x46772)),x46775)))
% 204.30/204.30 [4716]E(f331(f266(f934(x47161,x47162)),f331(f261(x47161,x47162,a923),f331(f331(f8(f935(x47162,f935(x47163,a923)),f935(x47162,a923),x47161),f331(f8(f935(x47163,a923),a923,x47162),f87(x47163))),f331(f331(f7(x47161,f935(x47162,f935(x47163,a923)),f935(x47162,f935(x47163,a923))),f331(f331(f8(f935(f935(x47163,a923),f935(x47163,a923)),f935(f935(x47162,f935(x47163,a923)),f935(x47162,f935(x47163,a923))),x47161),f8(f935(x47163,a923),f935(x47163,a923),x47162)),f331(f331(f8(f935(x47163,f935(a923,a923)),f935(f935(x47163,a923),f935(x47163,a923)),x47161),f18(x47163,a923,a923)),f331(f331(f8(f935(x47163,a923),f935(x47163,f935(a923,a923)),x47161),f331(f8(a923,f935(a923,a923),x47163),a329)),f331(f331(f7(x47161,f935(f934(x47161,x47163),a923),f935(x47163,a923)),f331(f331(f8(f935(x47163,f935(f935(f934(x47161,x47163),a923),a923)),f935(f935(f934(x47161,x47163),a923),f935(x47163,a923)),x47161),f7(x47163,f935(f934(x47161,x47163),a923),a923)),f331(f331(f8(f935(x47163,f934(x47161,x47163)),f935(x47163,f935(f935(f934(x47161,x47163),a923),a923)),x47161),f331(f8(f934(x47161,x47163),f935(f935(f934(x47161,x47163),a923),a923),x47163),f333(f934(x47161,x47163)))),f256(x47161,x47163)))),x47164))))),f331(f331(f7(x47162,f935(f934(x47163,x47162),a923),f935(x47163,a923)),f331(f331(f8(f935(x47163,f935(f935(f934(x47163,x47162),a923),a923)),f935(f935(f934(x47163,x47162),a923),f935(x47163,a923)),x47162),f7(x47163,f935(f934(x47163,x47162),a923),a923)),f331(f331(f8(f935(x47163,f934(x47163,x47162)),f935(x47163,f935(f935(f934(x47163,x47162),a923),a923)),x47162),f331(f8(f934(x47163,x47162),f935(f935(f934(x47163,x47162),a923),a923),x47163),f333(f934(x47163,x47162)))),f331(f7(x47163,x47162,f934(x47163,x47162)),f256(x47163,x47162))))),x47165))))),f331(f331(f293(x47161,x47163,x47162),x47164),x47165))
% 204.30/204.30 [4780]~E(f26(x47801,x47802,x47803),f27(x47804,x47805,x47806))
% 204.30/204.30 [4327]E(f229(x43271,x43272,x43273,x43274,f225(x43271,x43272,x43275,x43276)),f331(f331(x43274,x43275),x43276))
% 204.30/204.30 [4328]E(f230(x43281,x43282,x43283,x43284,f225(x43281,x43282,x43285,x43286)),f331(f331(x43284,x43285),x43286))
% 204.30/204.30 [4454]E(f131(x44541,x44542,x44543,x44544,f130(x44542,x44545,x44546)),f331(f331(f331(x44544,x44545),x44546),f131(x44541,x44542,x44543,x44544,x44546)))
% 204.30/204.30 [4473]E(f75(x44731,x44732,f75(x44731,x44732,x44733,x44734,x44735),x44734,x44736),f75(x44731,x44732,x44733,x44734,x44736))
% 204.30/204.30 [4581]E(f331(f73(f934(x45811,x45812),x45812,f934(x45813,x45814),f260(x45811,x45812)),f262(x45813,x45811,x45814,x45812,x45815,x45816)),f331(f73(x45814,x45812,f934(x45813,x45814),x45816),f260(x45813,x45814)))
% 204.30/204.30 [4582]E(f331(f73(f934(x45821,x45822),x45821,f934(x45823,x45824),f255(x45821,x45822)),f262(x45823,x45821,x45824,x45822,x45825,x45826)),f331(f73(x45823,x45821,f934(x45823,x45824),x45825),f255(x45823,x45824)))
% 204.30/204.30 [4195]E(f331(f331(f73(x41951,x41952,x41953,x41954),x41955),x41956),f331(x41954,f331(x41955,x41956)))
% 204.30/204.30 [4337]E(f228(x43371,f934(x43372,f929(x43372)),x43373,f331(f261(x43372,f929(x43372),x43371),x43374),f331(f139(x43372),f130(x43372,x43375,x43376))),f331(f331(x43374,x43375),x43376))
% 204.30/204.30 [4387]E(f231(x43871,x43872,x43873,x43874,f225(x43871,x43872,x43875,x43876)),f331(f331(f80(a927),f331(f331(f80(a927),f331(x43873,x43875)),f331(x43874,x43876))),f331(a116,f2(a927))))
% 204.30/204.30 [3993]E(f331(f331(f261(x39931,x39932,x39933),x39934),f331(f331(f256(x39931,x39932),x39935),x39936)),f331(f331(x39934,x39935),x39936))
% 204.30/204.30 [4053]E(f331(f331(f331(f8(x40531,x40532,x40533),x40534),x40535),x40536),f331(x40534,f331(x40535,x40536)))
% 204.30/204.30 [4054]E(f331(f331(f331(f7(x40541,x40542,x40543),x40544),x40545),x40546),f331(f331(x40544,x40546),x40545))
% 204.30/204.30 [4072]E(f331(f331(f331(f18(x40721,x40722,x40723),x40724),x40725),x40726),f331(f331(x40724,x40726),f331(x40725,x40726)))
% 204.30/204.30 [4095]E(f331(f160(x40951,x40952,x40953,x40954),f331(f331(f155(x40952),x40955),x40956)),f331(f331(x40954,x40955),x40956))
% 204.30/204.30 [4133]E(f173(f934(x41331,x41332),f331(f331(f237(a927),x41333),x41334),f331(f331(f256(x41331,x41332),x41335),x41336)),f331(f331(f185(x41331,x41332),f173(x41331,x41333,x41335)),f173(x41332,x41334,x41336)))
% 204.30/204.30 [4199]E(f331(f331(f155(f934(x41991,x41992)),f331(f331(f256(x41991,x41992),x41993),x41994)),f331(f331(f185(x41991,x41992),x41995),x41996)),f331(f331(f185(x41991,x41992),f331(f331(f155(x41991),x41993),x41995)),f331(f331(f155(x41992),x41994),x41996)))
% 204.30/204.30 [4201]E(f331(f331(f158(x42011,x42012),x42013),f331(f331(f163(x42011,x42014),x42015),x42016)),f331(f331(f163(x42012,f331(f331(f158(x42011,x42012),x42013),x42014)),x42015),f331(x42013,x42016)))
% 204.30/204.30 [4226]E(f331(f331(f259(x42261,x42262,x42263,x42264),x42265),x42266),f331(x42264,f331(f331(f256(x42261,x42262),x42265),x42266)))
% 204.30/204.30 [4244]E(f331(f146(x42441,x42442,x42443,x42444),f331(f331(f155(x42442),x42445),x42446)),f331(f146(x42441,x42442,x42443,f331(f331(x42443,x42444),x42445)),x42446))
% 204.30/204.30 [4270]E(f264(x42701,x42702,x42703,x42704,f331(f331(f256(x42701,x42702),x42705),x42706)),f331(f331(x42704,x42705),x42706))
% 204.30/204.30 [4351]E(f331(f331(f39(x43511,f935(x43512,a923)),x43513),f331(f73(x43514,f935(x43512,a923),x43511,x43515),x43516)),f331(f331(f39(x43514,f935(x43512,a923)),f331(f314(x43511,x43514,x43516),x43513)),x43515))
% 204.30/204.30 [4402]E(f331(f331(f158(x44021,x44022),x44023),f331(f331(f158(x44024,x44021),x44025),x44026)),f331(f331(f158(x44024,x44022),f331(f73(x44021,x44022,x44024,x44023),x44025)),x44026))
% 204.30/204.30 [4408]E(f331(f314(x44081,x44082,f331(f73(x44083,x44082,x44081,x44084),x44085)),x44086),f331(f314(x44083,x44082,x44084),f331(f314(x44081,x44083,x44085),x44086)))
% 204.30/204.30 [4409]E(f331(f315(x44091,x44092,f331(f73(x44093,x44092,x44091,x44094),x44095)),x44096),f331(f315(x44091,x44093,x44095),f331(f315(x44093,x44092,x44094),x44096)))
% 204.30/204.30 [4437]E(f331(f146(x44371,x44372,x44373,f331(f146(x44371,x44372,x44373,x44374),x44375)),x44376),f331(f146(x44371,x44372,x44373,x44374),f331(f331(f138(x44372),x44375),x44376)))
% 204.30/204.30 [4571]E(f331(f262(x45711,x45711,x45712,x45713,f32(x45711),x45714),f331(f331(f256(x45711,x45712),x45715),x45716)),f331(f331(f256(x45711,x45713),x45715),f331(x45714,x45716)))
% 204.30/204.30 [4572]E(f331(f262(x45721,x45722,x45723,x45723,x45724,f32(x45723)),f331(f331(f256(x45721,x45723),x45725),x45726)),f331(f331(f256(x45722,x45723),f331(x45724,x45725)),x45726))
% 204.30/204.30 [4660]E(f331(f331(f158(f934(x46601,x46602),f934(x46601,x46603)),f331(f261(x46601,x46602,f934(x46601,x46603)),f331(f331(f7(x46601,f935(x46602,x46603),f935(x46602,f934(x46601,x46603))),f331(f331(f8(f935(x46603,f934(x46601,x46603)),f935(f935(x46602,x46603),f935(x46602,f934(x46601,x46603))),x46601),f8(x46603,f934(x46601,x46603),x46602)),f256(x46601,x46603))),x46604))),f331(f331(f185(x46601,x46602),x46605),x46606)),f331(f331(f185(x46601,x46603),x46605),f331(f331(f158(x46602,x46603),x46604),x46606)))
% 204.30/204.30 [4058]E(f98(x40581,x40582,x40583,f331(f331(f331(f91(x40581),x40584),x40585),x40586)),f331(f331(f331(x40583,x40584),x40585),x40586))
% 204.30/204.30 [4059]E(f99(x40591,x40592,x40593,f331(f331(f331(f91(x40591),x40594),x40595),x40596)),f331(f331(f331(x40593,x40594),x40595),x40596))
% 204.30/204.30 [4254]E(f331(f331(f73(x42541,x42542,x42543,f331(f16(x42542,x42541),x42544)),x42545),x42546),x42544)
% 204.30/204.30 [4286]E(f331(f314(x42861,x42862,x42863),f331(f314(x42864,x42861,x42865),x42866)),f331(f314(x42864,x42862,f331(f331(f8(x42861,x42862,x42864),x42863),x42865)),x42866))
% 204.30/204.30 [4292]E(f331(f331(f39(x42921,f935(x42922,a923)),f331(f314(x42923,x42921,x42924),x42925)),x42926),f331(f331(f39(x42923,f935(x42922,a923)),x42925),f331(f331(f8(x42921,f935(x42922,a923),x42923),x42926),x42924)))
% 204.30/204.30 [4293]E(f331(f331(f40(x42931,f935(x42932,a923)),f331(f314(x42933,x42931,x42934),x42935)),x42936),f331(f331(f40(x42933,f935(x42932,a923)),x42935),f331(f331(f8(x42931,f935(x42932,a923),x42933),x42936),x42934)))
% 204.30/204.30 [4294]E(f331(f331(f39(x42941,f935(x42942,a923)),x42943),f331(f331(f8(x42944,f935(x42942,a923),x42941),x42945),x42946)),f331(f331(f39(x42944,f935(x42942,a923)),f331(f314(x42941,x42944,x42946),x42943)),x42945))
% 204.30/204.30 [4295]E(f331(f331(f40(x42951,f935(x42952,a923)),x42953),f331(f331(f8(x42954,f935(x42952,a923),x42951),x42955),x42956)),f331(f331(f40(x42954,f935(x42952,a923)),f331(f314(x42951,x42954,x42956),x42953)),x42955))
% 204.30/204.30 [4353]E(f331(f331(f39(x43531,f935(x43532,a923)),x43533),f331(f331(f8(f935(x43534,a923),f935(x43532,a923),x43531),f314(x43534,x43532,x43535)),x43536)),f331(f314(x43534,x43532,x43535),f331(f331(f39(x43531,f935(x43534,a923)),x43533),x43536)))
% 204.30/204.30 [4354]E(f331(f331(f39(x43541,f935(x43542,a923)),x43543),f331(f331(f8(f935(x43544,a923),f935(x43542,a923),x43541),f289(x43544,x43542,x43545)),x43546)),f331(f289(x43544,x43542,x43545),f331(f331(f39(x43541,f935(x43544,a923)),x43543),x43546)))
% 204.30/204.30 [4355]E(f331(f331(f39(x43551,f935(x43552,a923)),x43553),f331(f331(f8(f935(x43554,a923),f935(x43552,a923),x43551),f315(x43552,x43554,x43555)),x43556)),f331(f315(x43552,x43554,x43555),f331(f331(f39(x43551,f935(x43554,a923)),x43553),x43556)))
% 204.30/204.30 [4356]E(f331(f331(f40(x43561,f935(x43562,a923)),x43563),f331(f331(f8(f935(x43564,a923),f935(x43562,a923),x43561),f315(x43562,x43564,x43565)),x43566)),f331(f315(x43562,x43564,x43565),f331(f331(f40(x43561,f935(x43564,a923)),x43563),x43566)))
% 204.30/204.30 [4442]E(f331(f146(x44421,x44422,f331(f7(x44422,x44421,x44421),x44423),x44424),f331(f172(x44422),f331(f331(f155(x44422),x44425),x44426))),f331(f331(x44423,x44425),f331(f146(x44421,x44422,f331(f7(x44422,x44421,x44421),x44423),x44424),f331(f172(x44422),x44426))))
% 204.30/204.30 [4500]E(f331(f331(f18(f934(x45001,x45002),x45002,x45003),f331(f331(f8(x45004,f935(x45002,x45003),f934(x45001,x45002)),x45005),f331(f331(f8(x45001,x45004,f934(x45001,x45002)),x45006),f255(x45001,x45002)))),f260(x45001,x45002)),f331(f261(x45001,x45002,x45003),f331(f331(f8(x45004,f935(x45002,x45003),x45001),x45005),x45006)))
% 204.30/204.30 [4507]E(f331(f146(x45071,x45072,f331(f7(x45072,x45071,x45071),x45073),f331(f146(x45071,x45072,f331(f7(x45072,x45071,x45071),x45073),x45074),f331(f172(x45072),x45075))),f331(f172(x45072),x45076)),f331(f146(x45071,x45072,f331(f7(x45072,x45071,x45071),x45073),x45074),f331(f172(x45072),f331(f331(f138(x45072),x45076),x45075))))
% 204.30/204.30 [4509]E(f331(f331(f158(f934(x45091,x45092),f934(x45093,x45092)),f331(f261(x45091,x45092,f934(x45093,x45092)),f331(f331(f8(x45093,f935(x45092,f934(x45093,x45092)),x45091),f256(x45093,x45092)),x45094))),f331(f331(f185(x45091,x45092),x45095),x45096)),f331(f331(f185(x45093,x45092),f331(f331(f158(x45091,x45093),x45094),x45095)),x45096))
% 204.30/204.30 [4554]P107(f331(f331(f239(f935(x45541,a923)),f331(f289(x45542,x45541,x45543),f331(f331(f40(x45544,f935(x45542,a923)),x45545),x45546))),f331(f331(f40(x45544,f935(x45541,a923)),x45545),f331(f331(f8(f935(x45542,a923),f935(x45541,a923),x45544),f289(x45542,x45541,x45543)),x45546))))
% 204.30/204.30 [4366]E(f331(f331(f185(x43661,x43662),f331(f331(f163(x43661,x43663),x43664),f331(f255(x43661,x43662),x43665))),f331(f331(f163(x43662,x43666),x43664),f331(f260(x43661,x43662),x43665))),f331(f331(f163(f934(x43661,x43662),f331(f331(f185(x43661,x43662),x43663),x43666)),x43664),x43665))
% 204.30/204.30 [4425]E(f331(f331(f114(f935(f934(x44251,x44252),a923)),f331(f331(f293(x44251,x44253,x44252),x44254),x44255)),f331(f331(f293(x44251,x44253,x44252),x44254),x44256)),f331(f331(f293(x44251,x44253,x44252),x44254),f331(f331(f114(f935(f934(x44253,x44252),a923)),x44255),x44256)))
% 204.30/204.30 [4519]E(f331(f331(f313(f934(x45191,x45192)),f331(f331(f256(x45191,x45192),x45193),x45194)),f331(f331(f114(f935(f934(x45191,x45192),a923)),f331(f331(f258(x45191,x45192),x45195),f331(f16(f935(x45192,a923),x45191),f331(f331(f313(x45192),x45194),x45196)))),f331(f331(f258(x45191,x45192),f331(f331(f313(x45191),x45193),x45195)),f331(f16(f935(x45192,a923),x45191),x45196)))),f331(f331(f258(x45191,x45192),f331(f331(f313(x45191),x45193),x45195)),f331(f16(f935(x45192,a923),x45191),f331(f331(f313(x45192),x45194),x45196))))
% 204.30/204.30 [4598]E(f331(f331(f105(f935(x45981,a923)),f331(f315(x45981,x45982,f331(f73(f934(x45982,x45983),x45982,x45981,f255(x45982,x45983)),x45984)),x45985)),f331(f315(x45981,x45983,f331(f73(f934(x45982,x45983),x45983,x45981,f260(x45982,x45983)),x45984)),x45986)),f331(f315(x45981,f934(x45982,x45983),x45984),f331(f331(f258(x45982,x45983),x45985),f331(f16(f935(x45983,a923),x45982),x45986))))
% 204.30/204.30 [4448]E(f331(f331(f114(f935(f934(x44481,x44482),a923)),f331(f331(f293(x44481,x44483,x44482),x44484),x44485)),f331(f331(f293(x44481,x44483,x44482),x44486),x44485)),f331(f331(f293(x44481,x44483,x44482),f331(f331(f114(f935(f934(x44481,x44483),a923)),x44484),x44486)),x44485))
% 204.30/204.31 [4579]E(f331(f331(f39(x45791,f935(x45792,a923)),x45793),f331(f331(f7(x45791,f935(x45794,f935(x45792,a923)),f935(x45792,a923)),f331(f331(f8(f935(x45794,a923),f935(f935(x45794,f935(x45792,a923)),f935(x45792,a923)),x45791),f39(x45794,f935(x45792,a923))),x45795)),x45796)),f331(f331(f39(x45794,f935(x45792,a923)),f331(f331(f39(x45791,f935(x45794,a923)),x45793),x45795)),x45796))
% 204.30/204.31 [4580]E(f331(f331(f40(x45801,f935(x45802,a923)),x45803),f331(f331(f7(x45801,f935(x45804,f935(x45802,a923)),f935(x45802,a923)),f331(f331(f8(f935(x45804,a923),f935(f935(x45804,f935(x45802,a923)),f935(x45802,a923)),x45801),f40(x45804,f935(x45802,a923))),x45805)),x45806)),f331(f331(f40(x45804,f935(x45802,a923)),f331(f331(f39(x45801,f935(x45804,a923)),x45803),x45805)),x45806))
% 204.30/204.31 [4632]E(f331(f261(x46321,x46322,f934(x46323,x46324)),f331(f331(f7(x46321,f935(x46322,x46324),f935(x46322,f934(x46323,x46324))),f331(f331(f8(f935(x46324,f934(x46323,x46324)),f935(f935(x46322,x46324),f935(x46322,f934(x46323,x46324))),x46321),f8(x46324,f934(x46323,x46324),x46322)),f331(f331(f8(x46323,f935(x46324,f934(x46323,x46324)),x46321),f256(x46323,x46324)),x46325))),x46326)),f262(x46321,x46323,x46322,x46324,x46325,x46326))
% 204.30/204.31 [4655]E(f331(f314(x46551,x46552,f331(f331(f18(x46551,x46552,x46552),f331(f331(f18(x46551,x46552,f935(x46552,x46552)),f331(f331(f8(a923,f935(x46552,f935(x46552,x46552)),x46551),f100(x46552)),x46553)),x46554)),x46555)),x46556),f331(f331(f114(f935(x46552,a923)),f331(f314(x46551,x46552,x46554),f331(f331(f105(f935(x46551,a923)),x46556),f331(f266(x46551),x46553)))),f331(f314(x46551,x46552,x46555),f331(f331(f105(f935(x46551,a923)),x46556),f331(f266(x46551),f331(f331(f8(a923,a923,x46551),a326),x46553))))))
% 204.30/204.31 [4667]E(f331(f314(x46671,f934(x46672,x46673),f331(f331(f18(x46671,x46673,f934(x46672,x46673)),f331(f331(f8(x46672,f935(x46673,f934(x46672,x46673)),x46671),f256(x46672,x46673)),x46674)),x46675)),x46676),f331(f331(f258(x46672,x46673),f331(f314(x46671,x46672,x46674),x46676)),f331(f331(f8(f935(x46671,a923),f935(x46673,a923),x46672),f314(x46671,x46673,x46675)),f331(f331(f7(x46672,f935(x46671,a923),f935(x46671,a923)),f331(f331(f8(f935(x46671,a923),f935(f935(x46671,a923),f935(x46671,a923)),x46672),f105(f935(x46671,a923))),f331(f331(f8(f935(x46672,a923),f935(x46671,a923),x46672),f315(x46671,x46672,x46674)),f331(f331(f7(x46672,f935(x46672,a923),f935(x46672,a923)),f313(x46672)),f192(f935(x46672,a923)))))),x46676))))
% 204.30/204.31 [4692]E(f250(x46921,x46922,x46923,x46924,x46925,x46926),f331(x46924,f331(f266(x46921),f331(f331(f8(f935(f935(x46923,x46921),a923),a923,x46921),f87(f935(x46923,x46921))),f331(f331(f8(f935(f935(x46923,x46921),a923),f935(f935(x46923,x46921),a923),x46921),f331(f18(f935(x46923,x46921),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x46923,x46921)),a329),f331(f331(f7(f935(x46923,x46921),f935(f935(x46923,x46921),a923),a923),f333(f935(x46923,x46921))),x46925)))),f331(f331(f7(x46921,f935(f935(x46923,x46921),x46921),f935(f935(x46923,x46921),a923)),f331(f331(f8(f935(x46921,a923),f935(f935(f935(x46923,x46921),x46921),f935(f935(x46923,x46921),a923)),x46921),f8(x46921,a923,f935(x46923,x46921))),a328)),f331(f331(f7(f935(x46923,x46921),x46923,x46921),f5(f935(x46923,x46921))),x46926)))))))
% 204.30/204.31 [4481]E(f331(f73(x44811,x44812,x44813,x44814),f75(x44813,x44811,x44815,x44816,x44817)),f75(x44813,x44812,f331(f73(x44811,x44812,x44813,x44814),x44815),x44816,f331(x44814,x44817)))
% 204.30/204.31 [4615]E(f331(f260(x46151,x46152),f331(f262(x46153,x46151,x46154,x46152,x46155,x46156),x46157)),f331(x46156,f331(f260(x46153,x46154),x46157)))
% 204.30/204.31 [4616]E(f331(f255(x46161,x46162),f331(f262(x46163,x46161,x46164,x46162,x46165,x46166),x46167)),f331(x46165,f331(f255(x46163,x46164),x46167)))
% 204.30/204.31 [4329]E(f331(f331(f185(x43291,x43292),f331(f331(f163(x43291,x43293),x43294),x43295)),f331(f331(f163(x43292,x43296),x43294),x43297)),f331(f331(f163(f934(x43291,x43292),f331(f331(f185(x43291,x43292),x43293),x43296)),x43294),f331(f331(f256(x43291,x43292),x43295),x43297)))
% 204.30/204.31 [4396]E(f331(f331(f331(f263(x43961,x43962,x43963,x43964),x43965),x43966),x43967),f331(f331(f261(x43962,x43963,x43964),x43966),f331(x43965,x43967)))
% 204.30/204.31 [4407]E(f331(f331(f331(f263(x44071,x44072,x44073,x44074),x44075),x44076),x44077),f331(f331(x44076,f331(f255(x44072,x44073),f331(x44075,x44077))),f331(f260(x44072,x44073),f331(x44075,x44077))))
% 204.30/204.31 [4459]E(f331(f73(x44591,x44592,x44593,x44594),f331(f73(x44595,x44591,x44593,x44596),x44597)),f331(f73(x44595,x44592,x44593,f331(f73(x44591,x44592,x44595,x44594),x44596)),x44597))
% 204.30/204.31 [4636]E(f331(f262(x46361,x46362,x46363,x46363,x46364,f32(x46363)),f331(f262(x46361,x46361,x46365,x46363,f32(x46361),x46366),x46367)),f331(f331(f256(x46362,x46363),f331(x46364,f331(f255(x46361,x46365),x46367))),f331(x46366,f331(f260(x46361,x46365),x46367))))
% 204.30/204.31 [4637]E(f331(f262(x46371,x46371,x46372,x46373,f32(x46371),x46374),f331(f262(x46375,x46371,x46372,x46372,x46376,f32(x46372)),x46377)),f331(f331(f256(x46371,x46373),f331(x46376,f331(f255(x46375,x46372),x46377))),f331(x46374,f331(f260(x46375,x46372),x46377))))
% 204.30/204.31 [4653]E(f331(f262(x46531,x46532,x46533,x46533,x46534,f32(x46533)),f331(f262(x46535,x46531,x46533,x46533,x46536,f32(x46533)),x46537)),f331(f262(x46535,x46532,x46533,x46533,f331(f73(x46531,x46532,x46535,x46534),x46536),f32(x46533)),x46537))
% 204.30/204.31 [4654]E(f331(f262(x46541,x46541,x46542,x46543,f32(x46541),x46544),f331(f262(x46541,x46541,x46545,x46542,f32(x46541),x46546),x46547)),f331(f262(x46541,x46541,x46545,x46543,f32(x46541),f331(f73(x46542,x46543,x46545,x46544),x46546)),x46547))
% 204.30/204.31 [4664]E(f331(f262(x46641,x46642,x46643,x46643,x46644,f32(x46643)),f331(f262(x46641,x46641,x46645,x46643,f32(x46641),x46646),x46647)),f331(f262(x46642,x46642,x46645,x46643,f32(x46642),x46646),f331(f262(x46641,x46642,x46645,x46645,x46644,f32(x46645)),x46647)))
% 204.30/204.31 [4363]E(f331(f331(f293(x43631,x43632,x43633),f331(f331(f293(x43631,x43634,x43632),x43635),x43636)),x43637),f331(f331(f293(x43631,x43634,x43633),x43635),f331(f331(f293(x43634,x43632,x43633),x43636),x43637)))
% 204.30/204.31 [4431]E(f331(f331(f261(x44311,x44312,x44313),f331(f73(x44314,f935(x44312,x44313),x44311,x44315),x44316)),x44317),f331(f331(x44315,f331(x44316,f331(f255(x44311,x44312),x44317))),f331(f260(x44311,x44312),x44317)))
% 204.30/204.31 [4512]E(f331(f146(x45121,x45122,f331(f7(x45122,x45121,x45121),x45123),x45124),f331(f172(x45122),f331(f331(f158(x45125,x45122),x45126),x45127))),f331(f146(x45121,x45125,f331(f7(x45125,x45121,x45121),f331(f73(x45122,f935(x45121,x45121),x45125,x45123),x45126)),x45124),f331(f172(x45125),x45127)))
% 204.30/204.31 [4460]E(f331(f331(f39(x44601,f935(f934(x44602,x44603),a923)),x44604),f331(f331(f8(f935(f934(x44605,x44603),a923),f935(f934(x44602,x44603),a923),x44601),f331(f293(x44602,x44605,x44603),x44606)),x44607)),f331(f331(f293(x44602,x44605,x44603),x44606),f331(f331(f39(x44601,f935(f934(x44605,x44603),a923)),x44604),x44607)))
% 204.30/204.31 [4603]E(f331(f331(f39(x46031,f935(f934(x46032,x46033),a923)),x46034),f331(f331(f7(x46031,f935(f934(x46035,x46033),a923),f935(f934(x46032,x46033),a923)),f331(f331(f8(f935(f934(x46032,x46035),a923),f935(f935(f934(x46035,x46033),a923),f935(f934(x46032,x46033),a923)),x46031),f293(x46032,x46035,x46033)),x46036)),x46037)),f331(f331(f293(x46032,x46035,x46033),f331(f331(f39(x46031,f935(f934(x46032,x46035),a923)),x46034),x46036)),x46037))
% 204.30/204.31 [4604]E(f331(f146(x46041,x46042,f331(f331(f7(x46041,f935(x46042,x46043),f935(x46042,x46041)),f331(f331(f8(f935(x46043,x46041),f935(f935(x46042,x46043),f935(x46042,x46041)),x46041),f8(x46043,x46041,x46042)),x46044)),x46045),x46046),x46047),f331(f146(x46041,x46043,x46044,x46046),f331(f331(f158(x46042,x46043),x46045),x46047)))
% 204.30/204.31 [4665]E(f331(f331(f40(x46651,f935(x46652,a923)),x46653),f331(f331(f8(f935(x46654,f935(x46652,a923)),f935(x46652,a923),x46651),f331(f40(x46654,f935(x46652,a923)),x46655)),f331(f331(f7(x46651,f935(x46654,f935(x46652,a923)),f935(x46654,f935(x46652,a923))),f331(f331(f8(f935(f935(x46652,a923),f935(x46652,a923)),f935(f935(x46654,f935(x46652,a923)),f935(x46654,f935(x46652,a923))),x46651),f8(f935(x46652,a923),f935(x46652,a923),x46654)),f331(f331(f8(f935(x46652,a923),f935(f935(x46652,a923),f935(x46652,a923)),x46651),f114(f935(x46652,a923))),x46656))),x46657))),f331(f331(f114(f935(x46652,a923)),f331(f331(f40(x46651,f935(x46652,a923)),x46653),x46656)),f331(f331(f40(x46654,f935(x46652,a923)),x46655),x46657)))
% 204.30/204.31 [4666]E(f331(f331(f39(x46661,f935(x46662,a923)),x46663),f331(f331(f8(f935(x46664,f935(x46662,a923)),f935(x46662,a923),x46661),f331(f39(x46664,f935(x46662,a923)),x46665)),f331(f331(f7(x46661,f935(x46664,f935(x46662,a923)),f935(x46664,f935(x46662,a923))),f331(f331(f8(f935(f935(x46662,a923),f935(x46662,a923)),f935(f935(x46664,f935(x46662,a923)),f935(x46664,f935(x46662,a923))),x46661),f8(f935(x46662,a923),f935(x46662,a923),x46664)),f331(f331(f8(f935(x46662,a923),f935(f935(x46662,a923),f935(x46662,a923)),x46661),f105(f935(x46662,a923))),x46666))),x46667))),f331(f331(f105(f935(x46662,a923)),f331(f331(f39(x46661,f935(x46662,a923)),x46663),x46666)),f331(f331(f39(x46664,f935(x46662,a923)),x46665),x46667)))
% 204.30/204.31 [4658]E(f202(x46581,x46582,f331(f331(f331(x46583,x46584),x46585),x46586),f331(f331(f7(x46581,f934(a103,a103),f935(a103,f929(x46582))),f331(f331(f7(x46581,a103,f935(f934(a103,a103),f935(a103,f929(x46582)))),f331(f331(f7(x46581,a103,f935(a103,f935(f934(a103,a103),f935(a103,f929(x46582))))),x46587),x46584)),x46585)),x46586)),f331(f331(f331(f214(x46581,x46582,x46583,x46587),x46584),x46585),x46586))
% 204.30/204.31 [4672]E(f203(x46721,x46722,f331(f331(f331(x46723,x46724),x46725),x46726),f331(f331(f7(x46721,f934(a103,a103),f935(a103,f929(x46722))),f331(f331(f7(x46721,a103,f935(f934(a103,a103),f935(a103,f929(x46722)))),f331(f331(f7(x46721,a103,f935(a103,f935(f934(a103,a103),f935(a103,f929(x46722))))),x46727),x46724)),x46725)),x46726)),f216(x46721,x46722,x46723,x46727,x46724,x46725,x46726))
% 204.30/204.31 [4663]E(f200(x46631,x46632,f331(f331(f331(x46633,x46634),x46635),x46636),f331(f331(f7(x46631,f934(a103,a103),f935(a103,f929(f931(x46632)))),f331(f331(f7(x46631,a103,f935(f934(a103,a103),f935(a103,f929(f931(x46632))))),f331(f331(f7(x46631,a103,f935(a103,f935(f934(a103,a103),f935(a103,f929(f931(x46632)))))),x46637),x46634)),x46635)),x46636)),f331(f331(f331(f210(x46631,x46632,x46633,x46637),x46634),x46635),x46636))
% 204.30/204.31 [4674]E(f201(x46741,x46742,f331(f331(f331(x46743,x46744),x46745),x46746),f331(f331(f7(x46741,f934(a103,a103),f935(a103,f929(f931(x46742)))),f331(f331(f7(x46741,a103,f935(f934(a103,a103),f935(a103,f929(f931(x46742))))),f331(f331(f7(x46741,a103,f935(a103,f935(f934(a103,a103),f935(a103,f929(f931(x46742)))))),x46747),x46744)),x46745)),x46746)),f212(x46741,x46742,x46743,x46747,x46744,x46745,x46746))
% 204.30/204.31 [4573]E(f331(f262(x45731,x45732,x45733,x45734,x45735,x45736),f331(f331(f256(x45731,x45733),x45737),x45738)),f331(f331(f256(x45732,x45734),f331(x45735,x45737)),f331(x45736,x45738)))
% 204.30/204.31 [4676]E(f331(f331(f158(f934(x46761,x46762),f934(x46763,x46764)),f331(f261(x46761,x46762,f934(x46763,x46764)),f331(f331(f7(x46761,f935(x46762,x46764),f935(x46762,f934(x46763,x46764))),f331(f331(f8(f935(x46764,f934(x46763,x46764)),f935(f935(x46762,x46764),f935(x46762,f934(x46763,x46764))),x46761),f8(x46764,f934(x46763,x46764),x46762)),f331(f331(f8(x46763,f935(x46764,f934(x46763,x46764)),x46761),f256(x46763,x46764)),x46765))),x46766))),f331(f331(f185(x46761,x46762),x46767),x46768)),f331(f331(f185(x46763,x46764),f331(f331(f158(x46761,x46763),x46765),x46767)),f331(f331(f158(x46762,x46764),x46766),x46768)))
% 204.30/204.31 [4679]E(f331(f331(f158(f934(x46791,x46792),x46793),f331(f261(x46791,x46792,x46793),f331(f331(f8(f935(x46792,f934(x46791,x46794)),f935(x46792,x46793),x46791),f331(f8(f934(x46791,x46794),x46793,x46792),x46795)),f331(f331(f7(x46791,f935(x46792,x46794),f935(x46792,f934(x46791,x46794))),f331(f331(f8(f935(x46794,f934(x46791,x46794)),f935(f935(x46792,x46794),f935(x46792,f934(x46791,x46794))),x46791),f8(x46794,f934(x46791,x46794),x46792)),f256(x46791,x46794))),x46796)))),f331(f331(f185(x46791,x46792),x46797),x46798)),f331(f331(f158(f934(x46791,x46794),x46793),x46795),f331(f331(f185(x46791,x46794),x46797),f331(f331(f158(x46792,x46794),x46796),x46798))))
% 204.30/204.31 [4607]E(f331(f331(f158(f934(x46071,x46072),x46073),f331(f261(x46071,x46072,x46073),f331(f331(f8(f935(x46072,f934(x46074,x46072)),f935(x46072,x46073),x46071),f331(f8(f934(x46074,x46072),x46073,x46072),x46075)),f331(f331(f8(x46074,f935(x46072,f934(x46074,x46072)),x46071),f256(x46074,x46072)),x46076)))),f331(f331(f185(x46071,x46072),x46077),x46078)),f331(f331(f158(f934(x46074,x46072),x46073),x46075),f331(f331(f185(x46074,x46072),f331(f331(f158(x46071,x46074),x46076),x46077)),x46078)))
% 204.30/204.31 [4564]E(f331(f331(f261(x45641,x45642,x45643),f331(f331(f8(f935(x45642,f934(x45644,x45645)),f935(x45642,x45643),x45641),f331(f8(f934(x45644,x45645),x45643,x45642),f331(f261(x45644,x45645,x45643),x45646))),x45647)),x45648),f331(f331(f261(x45644,x45645,x45643),x45646),f331(f331(f261(x45641,x45642,f934(x45644,x45645)),x45647),x45648)))
% 204.30/204.31 [4680]E(f331(f331(f39(f934(x46801,x46802),f935(f934(x46803,x46804),a923)),f331(f331(f258(x46801,x46802),x46805),f331(f16(f935(x46802,a923),x46801),x46806))),f331(f261(x46801,x46802,f935(f934(x46803,x46804),a923)),f331(f331(f7(x46801,f935(x46802,f935(x46803,f935(x46804,a923))),f935(x46802,f935(f934(x46803,x46804),a923))),f331(f331(f8(f935(f935(x46803,f935(x46804,a923)),f935(f934(x46803,x46804),a923)),f935(f935(x46802,f935(x46803,f935(x46804,a923))),f935(x46802,f935(f934(x46803,x46804),a923))),x46801),f8(f935(x46803,f935(x46804,a923)),f935(f934(x46803,x46804),a923),x46802)),f331(f331(f8(f935(x46803,a923),f935(f935(x46803,f935(x46804,a923)),f935(f934(x46803,x46804),a923)),x46801),f258(x46803,x46804)),x46807))),f331(f331(f8(f935(x46804,a923),f935(x46803,f935(x46804,a923)),x46802),f16(f935(x46804,a923),x46803)),x46808)))),f331(f331(f258(x46803,x46804),f331(f331(f39(x46801,f935(x46803,a923)),x46805),x46807)),f331(f16(f935(x46804,a923),x46803),f331(f331(f39(x46802,f935(x46804,a923)),x46806),x46808))))
% 204.30/204.31 [4710]E(f31(x47101,x47102,x47103,x47104,x47105,x47106,x47107,x47108,x47109,a25),x47102)
% 204.30/204.31 [4621]E(f331(f331(f263(x46211,x46212,x46213,x46214),f331(f331(f263(x46211,x46215,x46216,f934(x46212,x46213)),x46217),x46218)),x46219),f331(f331(f263(x46211,x46215,x46216,x46214),x46217),f331(f331(f7(x46215,f935(x46212,f935(x46213,x46214)),f935(x46216,x46214)),f331(f331(f8(f935(x46216,f934(x46212,x46213)),f935(f935(x46212,f935(x46213,x46214)),f935(x46216,x46214)),x46215),f263(x46216,x46212,x46213,x46214)),x46218)),x46219)))
% 204.30/204.31 [4650]E(f331(f73(f934(x46501,x46502),f934(x46503,x46504),f934(x46505,x46506),f262(x46501,x46503,x46502,x46504,x46507,x46508)),f262(x46505,x46501,x46506,x46502,x46509,x465010)),f262(x46505,x46503,x46506,x46504,f331(f73(x46501,x46503,x46505,x46507),x46509),f331(f73(x46502,x46504,x46506,x46508),x465010)))
% 204.30/204.31 [4711]E(f31(x47111,x47112,x47113,x47114,x47115,x47116,x47117,x47118,x47119,f30(x471110,x471111)),f331(f331(x47115,x471110),x471111))
% 204.30/204.31 [4712]E(f31(x47121,x47122,x47123,x47124,x47125,x47126,x47127,x47128,x47129,f29(x471210,x471211)),f331(f331(x47127,x471210),x471211))
% 204.30/204.31 [4656]E(f331(f262(x46561,x46562,x46563,x46564,x46565,x46566),f331(f262(x46567,x46561,x46568,x46563,x46569,x465610),x465611)),f331(f262(x46567,x46562,x46568,x46564,f331(f73(x46561,x46562,x46567,x46565),x46569),f331(f73(x46563,x46564,x46568,x46566),x465610)),x465611))
% 204.30/204.31 [4713]E(f31(x47131,x47132,x47133,x47134,x47135,x47136,x47137,x47138,x47139,f27(x471310,x471311,x471312)),f331(f331(f331(x47136,x471310),x471311),x471312))
% 204.30/204.31 [4714]E(f31(x47141,x47142,x47143,x47144,x47145,x47146,x47147,x47148,x47149,f26(x471410,x471411,x471412)),f331(f331(f331(x47144,x471410),x471411),x471412))
% 204.30/204.31 [4809]~P3(x48091)+P3(f931(x48091))
% 204.30/204.31 [4810]~P63(x48101)+P63(f931(x48101))
% 204.30/204.31 [4811]~P105(x48111)+P105(f928(x48111))
% 204.30/204.31 [4814]~P146(x48141)+~E(f78(x48141),f2(x48141))
% 204.30/204.31 [4816]~E(x48161,f2(a103))+E(f331(a22,x48161),f2(a1))
% 204.30/204.31 [4817]~E(x48171,f2(a1))+E(f82(a1,x48171),f2(a1))
% 204.30/204.31 [4823]~P147(x48231)+P28(x48231,f2(x48231))
% 204.30/204.31 [4825]~P109(x48251)+P12(x48251,f117(x48251))
% 204.30/204.31 [4834]P107(x48341)+P107(f331(a326,x48341))
% 204.30/204.31 [4888]~P147(x48881)+~P28(x48881,f78(x48881))
% 204.30/204.31 [4929]~P107(x49291)+~P107(f331(a326,x49291))
% 204.30/204.31 [4950]E(f331(a108,x49501),f2(a927))+~P107(f331(a197,x49501))
% 204.30/204.31 [5016]~P102(x50161)+P13(x50161,x50161,f114(x50161))
% 204.30/204.31 [5017]~P98(x50171)+P13(x50171,x50171,f81(x50171))
% 204.30/204.31 [5018]~P103(x50181)+P13(x50181,x50181,f105(x50181))
% 204.30/204.31 [5019]~P109(x50191)+P13(x50191,x50191,f237(x50191))
% 204.30/204.31 [5020]~P109(x50201)+P13(x50201,x50201,f238(x50201))
% 204.30/204.31 [5021]~P69(x50211)+P15(x50211,x50211,f81(x50211))
% 204.30/204.31 [4820]~E(x48201,f2(a927))+E(f331(f104(a1),x48201),f2(a1))
% 204.30/204.31 [4827]~P95(x48271)+E(f331(f107(x48271),a83),f2(x48271))
% 204.30/204.31 [4830]~E(f582(x48301),f2(a927))+E(f331(f169(a927),x48301),f2(a927))
% 204.30/204.31 [4831]~P110(x48311)+E(f241(x48311,f239(x48311)),f237(x48311))
% 204.30/204.31 [4832]~P110(x48321)+E(f242(x48321,f239(x48321)),f238(x48321))
% 204.30/204.31 [4833]~P92(x48331)+E(f82(x48331,f2(x48331)),f2(x48331))
% 204.30/204.31 [4842]~P147(x48421)+E(f331(f104(x48421),f78(a927)),f78(x48421))
% 204.30/204.31 [4843]~P147(x48431)+E(f331(f104(x48431),f2(a927)),f2(x48431))
% 204.30/204.31 [4844]~P144(x48441)+E(f331(f106(x48441),f78(a1)),f78(x48441))
% 204.30/204.31 [4845]~P144(x48451)+E(f331(f106(x48451),f2(a1)),f2(x48451))
% 204.30/204.31 [4846]E(x48461,f2(a927))+~E(f331(f104(a1),x48461),f2(a1))
% 204.30/204.31 [4882]~P114(x48821)+E(f331(f76(x48821),f78(x48821)),f78(x48821))
% 204.30/204.31 [4883]~P88(x48831)+E(f331(f76(x48831),f2(x48831)),f2(x48831))
% 204.30/204.31 [4884]~P97(x48841)+E(f331(f79(x48841),f192(x48841)),f246(x48841))
% 204.30/204.31 [4885]~P97(x48851)+E(f331(f79(x48851),f246(x48851)),f192(x48851))
% 204.30/204.31 [4886]~P76(x48861)+E(f331(f79(x48861),f2(x48861)),f2(x48861))
% 204.30/204.31 [4887]~P84(x48871)+E(f331(f169(x48871),f117(x48871)),f2(x48871))
% 204.30/204.31 [4905]~P37(x49051)+P41(f331(f176(a1),x49051))
% 204.30/204.31 [4934]~P95(x49341)+E(f331(f79(x49341),f78(x49341)),f331(f107(x49341),a101))
% 204.30/204.31 [4949]~P95(x49491)+P28(x49491,f331(f107(x49491),a83))
% 204.30/204.31 [4975]P37(x49751)+~P41(f331(f176(a1),x49751))
% 204.30/204.31 [5022]E(f331(f104(a1),f331(a108,x50221)),x50221)+P107(f331(a197,x50221))
% 204.30/204.31 [5041]~P110(x50411)+E(f93(x50411,x50411,f5(x50411)),f94(x50411))
% 204.30/204.31 [5093]~P117(x50931)+E(f249(x50931,f78(x50931),f81(x50931)),f248(x50931))
% 204.30/204.31 [5126]~P95(x51261)+~P28(x51261,f331(f107(x51261),a101))
% 204.30/204.31 [5218]~E(x52181,f78(a927))+P107(f331(f331(f291(a927),x52181),f78(a927)))
% 204.30/204.31 [5274]E(f331(f76(a1),x52741),x52741)+P107(f331(f331(f240(a1),x52741),f2(a1)))
% 204.30/204.31 [5292]~E(f331(a108,x52921),f2(a927))+P107(f331(f331(f239(a1),x52921),f2(a1)))
% 204.30/204.31 [5358]~P107(f331(a197,x53581))+P107(f331(f331(f240(a1),x53581),f2(a1)))
% 204.30/204.31 [5398]~P127(x53981)+P107(f331(f331(f239(x53981),f2(x53981)),f78(x53981)))
% 204.30/204.31 [5399]~P144(x53991)+P107(f331(f331(f333(x53991),f78(x53991)),f113(x53991)))
% 204.30/204.31 [5400]~P147(x54001)+P107(f331(f331(f333(x54001),f78(x54001)),f190(x54001)))
% 204.30/204.31 [5401]~P144(x54011)+P107(f331(f331(f333(x54011),f2(x54011)),f113(x54011)))
% 204.30/204.31 [5402]~P147(x54021)+P107(f331(f331(f333(x54021),f2(x54021)),f190(x54021)))
% 204.30/204.31 [5403]~P127(x54031)+P107(f331(f331(f240(x54031),f2(x54031)),f78(x54031)))
% 204.30/204.31 [5457]E(x54571,f78(a927))+~P107(f331(f331(f291(a927),x54571),f78(a927)))
% 204.30/204.31 [5458]E(x54581,f2(a927))+~P107(f331(f331(f239(a927),x54581),f2(a927)))
% 204.30/204.31 [5500]E(f331(a108,x55001),f2(a927))+~P107(f331(f331(f239(a1),x55001),f2(a1)))
% 204.30/204.31 [5561]P107(f331(a197,x55611))+~P107(f331(f331(f240(a1),x55611),f2(a1)))
% 204.30/204.31 [5568]~P109(x55681)+P15(x55681,f928(x55681),f152(x55681,x55681,f5(x55681)))
% 204.30/204.31 [5586]P41(x55861)+~P107(f331(f331(f239(a1),f2(a1)),f339(x55861)))
% 204.30/204.31 [5591]E(f331(f76(a1),x55911),f331(f79(a1),x55911))+~P107(f331(f331(f240(a1),x55911),f2(a1)))
% 204.30/204.31 [5761]~P127(x57611)+~P107(f331(f331(f239(x57611),f78(x57611)),f2(x57611)))
% 204.30/204.31 [5762]~P127(x57621)+~P107(f331(f331(f240(x57621),f78(x57621)),f2(x57621)))
% 204.30/204.31 [5776]~E(x57761,f2(a927))+P107(f331(f331(f239(a1),f331(f104(a1),x57761)),f2(a1)))
% 204.30/204.31 [5777]~E(x57771,f2(a1))+P107(f331(f331(f240(a1),f331(f76(a1),x57771)),f78(a1)))
% 204.30/204.31 [5898]~P84(x58981)+E(f146(x58981,x58981,f80(x58981),f2(x58981)),f169(x58981))
% 204.30/204.31 [6072]~P104(x60721)+P24(a927,x60721,f104(x60721),f246(f935(a927,a923)))
% 204.30/204.31 [6274]E(x62741,f2(a927))+~P107(f331(f331(f239(a1),f331(f104(a1),x62741)),f2(a1)))
% 204.30/204.31 [6275]E(x62751,f2(a1))+~P107(f331(f331(f240(a1),f331(f76(a1),x62751)),f78(a1)))
% 204.30/204.31 [7074]~P107(f331(f331(f240(a1),x70741),f2(a1)))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x70741),x70741)),f2(a1)))
% 204.30/204.31 [7628]P107(f331(f331(f240(a1),x76281),f2(a1)))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),x76281),x76281)),f2(a1)))
% 204.30/204.31 [8177]E(x81771,f331(a3,f2(a927)))+P107(f331(f331(f240(a927),f331(f331(f23(a927),f331(a20,x81771)),f331(a116,f2(a927)))),f331(a20,x81771)))
% 204.30/204.31 [8956]~P107(f331(f331(f240(a1),x89561),f2(a1)))+P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x89561),x89561)),a101)),f2(a1)))
% 204.30/204.31 [9053]~P107(f331(f331(f240(a1),x90531),f2(a1)))+P107(f331(f331(f240(a1),f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x90531)),x90531)),f2(a1)))
% 204.30/204.31 [9376]P107(f331(f331(f240(a1),x93761),f2(a1)))+~P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93761),x93761)),a101)),f2(a1)))
% 204.30/204.31 [9440]P107(f331(f331(f240(a1),x94401),f2(a1)))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x94401)),x94401)),f2(a1)))
% 204.30/204.31 [4923]~E(a83,x49231)+E(f331(f331(f80(a1),x49231),x49231),a83)
% 204.30/204.31 [4924]~E(x49241,a83)+E(f331(f331(f80(a1),x49241),x49241),a83)
% 204.30/204.31 [4935]E(x49351,f2(a1))+E(f331(f331(f36(a1),x49351),x49351),f78(a1))
% 204.30/204.31 [5070]E(x50701,a83)+~E(f331(f331(f80(a1),x50701),x50701),a83)
% 204.30/204.31 [5071]E(a83,x50711)+~E(f331(f331(f80(a1),x50711),x50711),a83)
% 204.30/204.31 [5083]~P4(x50831)+E(f37(x50831,f192(f935(x50831,a923))),f192(x50831))
% 204.30/204.31 [5084]~P4(x50841)+E(f37(x50841,f246(f935(x50841,a923))),f246(x50841))
% 204.30/204.31 [5085]~P4(x50851)+E(f38(x50851,f192(f935(x50851,a923))),f246(x50851))
% 204.30/204.31 [5086]~P4(x50861)+E(f38(x50861,f246(f935(x50861,a923))),f192(x50861))
% 204.30/204.31 [5087]~P109(x50871)+E(f143(x50871,f192(f935(x50871,a923))),f117(x50871))
% 204.30/204.31 [5230]E(x52301,f2(a927))+P107(f331(f331(f240(a927),f2(a927)),x52301))
% 204.30/204.31 [5249]~P5(x52491)+P107(f331(f331(f239(a1),f2(a1)),x52491))
% 204.30/204.31 [5283]~E(f331(f107(a927),x52831),f2(a927))+P107(f331(f331(f239(a1),x52831),a83))
% 204.30/204.31 [5288]P41(x52881)+P107(f331(f331(f333(a1),f339(x52881)),x52881))
% 204.30/204.31 [5289]E(x52891,f331(a3,f2(a927)))+P107(f331(f331(f239(a103),f78(a103)),x52891))
% 204.30/204.31 [5330]P107(f331(a197,x53301))+P107(f331(f331(f239(a1),f2(a1)),x53301))
% 204.30/204.31 [5380]E(f331(f104(a1),f331(a108,x53801)),f2(a1))+P107(f331(f331(f239(a1),f2(a1)),x53801))
% 204.30/204.31 [5438]E(f331(f104(a1),f331(f107(a927),x54381)),f331(f107(a1),x54381))+P107(f331(a197,f331(f107(a1),x54381)))
% 204.30/204.31 [5464]E(f331(f107(a927),x54641),f2(a927))+~P107(f331(a197,f331(f107(a1),x54641)))
% 204.30/204.31 [5465]E(f331(f107(a927),x54651),f2(a927))+~P107(f331(f331(f239(a1),x54651),a83))
% 204.30/204.31 [5497]P5(x54971)+~P107(f331(f331(f239(a1),f2(a1)),x54971))
% 204.30/204.31 [5571]E(f331(a116,f826(x55711)),x55711)+~P107(f331(f331(f240(a927),f2(a927)),x55711))
% 204.30/204.31 [5580]E(f331(a116,f331(f107(a927),x55801)),f78(a927))+~P107(f331(a197,f331(f107(a1),x55801)))
% 204.30/204.31 [5587]E(f331(f104(a1),f382(x55871)),x55871)+~P107(f331(f331(f240(a1),f2(a1)),x55871))
% 204.30/204.31 [5594]~E(x55941,f331(a3,f2(a927)))+~P107(f331(f331(f239(a103),f78(a103)),x55941))
% 204.30/204.31 [5601]E(f331(f104(a1),f331(f107(a927),x56011)),f2(a1))+~P107(f331(a197,f331(f107(a1),x56011)))
% 204.30/204.31 [5626]E(f331(f169(a927),x56261),f2(a927))+P107(f331(f331(f333(a927),f582(x56261)),f331(f176(a927),x56261)))
% 204.30/204.31 [5646]E(f331(f104(a1),f331(a108,x56461)),x56461)+~P107(f331(f331(f239(a1),f2(a1)),x56461))
% 204.30/204.31 [5654]~P107(f331(a197,x56541))+~P107(f331(f331(f239(a1),f2(a1)),x56541))
% 204.30/204.31 [5754]E(f331(f331(f80(a927),f78(a927)),f331(f107(a927),x57541)),f78(a927))+~P107(f331(f331(f240(a1),x57541),a83))
% 204.30/204.31 [5818]E(x58181,f2(a927))+~P107(f331(f331(f240(a927),x58181),f331(a116,f2(a927))))
% 204.30/204.31 [5857]E(f331(f331(f23(a927),f331(f107(a927),x58571)),f78(a927)),f2(a927))+~P107(f331(f331(f239(a1),x58571),a83))
% 204.30/204.31 [5858]E(f331(f331(f80(a927),f331(f107(a927),x58581)),f78(a927)),f78(a927))+~P107(f331(f331(f240(a1),x58581),a83))
% 204.30/204.31 [5870]~P41(x58701)+E(f331(f35(a927),f331(f314(a1,a927,a108),x58701)),f331(f35(a1),x58701))
% 204.30/204.31 [5899]~P109(x58991)+E(f241(x58991,f331(f7(x58991,x58991,a923),f239(x58991))),f238(x58991))
% 204.30/204.31 [5900]~P109(x59001)+E(f242(x59001,f331(f7(x59001,x59001,a923),f239(x59001))),f237(x59001))
% 204.30/204.31 [5910]E(f45(a927,f331(a116,f2(a927)),f331(f107(a927),x59101)),f331(a116,f2(a927)))+~P107(f331(a197,f331(f107(a1),x59101)))
% 204.30/204.31 [5919]~P107(f331(f331(f240(a1),f2(a1)),x59191))+P107(f331(f331(f239(a1),f78(a1)),x59191))
% 204.30/204.31 [5920]P107(f331(f331(f240(a1),f2(a1)),x59201))+~P107(f331(f331(f239(a1),f78(a1)),x59201))
% 204.30/204.31 [5931]E(f331(a116,f331(f331(f23(a927),x59311),f78(a927))),x59311)+~P107(f331(f331(f240(a927),f2(a927)),x59311))
% 204.30/204.31 [5987]P107(f331(f331(f240(a927),f2(a927)),f382(x59871)))+~P107(f331(f331(f240(a1),f2(a1)),x59871))
% 204.30/204.31 [6048]E(f45(a1,f331(f107(a1),a101),x60481),f331(f331(f23(a1),x60481),f78(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x60481))
% 204.30/204.31 [6085]~P107(f331(f331(f240(a1),a83),x60851))+P107(f331(f331(f240(a927),f2(a927)),f331(f107(a927),x60851)))
% 204.30/204.31 [6090]E(f331(a20,f817(x60901)),x60901)+~P107(f331(f331(f333(a927),x60901),f246(f935(a927,a923))))
% 204.30/204.31 [6139]P107(f331(f331(f240(a927),f2(a927)),f331(a108,x61391)))+~P107(f331(f331(f240(a1),f2(a1)),x61391))
% 204.30/204.31 [6189]~P107(f331(f331(f240(a927),f2(a927)),x61891))+P107(f331(f331(f240(a1),f2(a1)),f331(f104(a1),x61891)))
% 204.30/204.31 [6227]~P107(f331(f331(f240(a927),f2(a927)),f331(a108,x62271)))+P107(f331(f331(f240(a1),f2(a1)),x62271))
% 204.30/204.31 [6242]~P41(x62421)+E(f331(f314(a927,a1,f104(a1)),f331(f314(a1,a927,a108),x62421)),x62421)
% 204.30/204.31 [6255]P107(f331(f331(f240(a1),a83),x62551))+~P107(f331(f331(f240(a927),f2(a927)),f331(f107(a927),x62551)))
% 204.30/204.31 [6313]P107(f331(f331(f240(a927),f2(a927)),x63131))+~P107(f331(f331(f240(a1),f2(a1)),f331(f104(a1),x63131)))
% 204.30/204.31 [6427]E(f331(f314(a927,a1,f104(a1)),f331(f286(a927),f331(a108,x64271))),f331(f306(a1,f2(a1)),x64271))+~P107(f331(f331(f239(a1),f2(a1)),x64271))
% 204.30/204.31 [6444]~P127(x64441)+P107(f331(f331(f240(x64441),f2(x64441)),f331(f331(f80(x64441),f78(x64441)),f78(x64441))))
% 204.30/204.31 [6494]P107(f331(f331(f240(a927),f331(a116,f2(a927))),f331(a108,x64941)))+~P107(f331(f331(f240(a1),f78(a1)),x64941))
% 204.30/204.31 [6593]E(x65931,f2(a1))+P107(f331(f49(f2(a1),x65931),f331(f331(f256(a1,a1),f2(a1)),f2(a1))))
% 204.30/204.31 [6761]~P107(f331(f331(f240(a927),f331(a116,f2(a927))),f331(a108,x67611)))+P107(f331(f331(f240(a1),f78(a1)),x67611))
% 204.30/204.31 [7186]~P118(x71861)+P38(x71861,f331(f266(f934(x71861,x71861)),f331(f261(x71861,x71861,a923),f240(x71861))))
% 204.30/204.31 [5805]E(f331(f107(a927),f331(f331(f23(a1),x58051),a101)),f331(a116,f331(f107(a927),x58051)))+P107(f331(a197,f331(f107(a1),x58051)))
% 204.30/204.31 [5821]~P37(x58211)+E(f331(f331(f158(a927,a1),f104(a1)),f331(f331(f158(a1,a927),a108),x58211)),x58211)
% 204.30/204.31 [5937]E(f331(f79(a1),f331(f104(a1),f331(a116,f461(x59371)))),x59371)+~P107(f331(f331(f240(a1),x59371),f2(a1)))
% 204.30/204.31 [5947]E(f331(f331(f80(a927),f78(a927)),f331(f107(a927),x59471)),f331(f107(a927),f331(f331(f23(a1),x59471),a101)))+P107(f331(f331(f240(a1),x59471),a83))
% 204.30/204.31 [5989]E(f331(f331(f36(a1),f331(f107(a1),a101)),x59891),f331(f107(a1),a101))+~P107(f331(f331(f240(a1),f2(a1)),x59891))
% 204.30/204.31 [6081]E(f331(f331(f23(a927),f331(f107(a927),x60811)),f78(a927)),f331(f107(a927),f331(f331(f80(a1),x60811),a101)))+P107(f331(f331(f239(a1),x60811),a83))
% 204.30/204.31 [6082]E(f331(f331(f80(a927),f331(f107(a927),x60821)),f78(a927)),f331(f107(a927),f331(f331(f23(a1),x60821),a101)))+P107(f331(f331(f240(a1),x60821),a83))
% 204.30/204.31 [6126]E(f331(a108,f331(f331(f80(a1),f78(a1)),x61261)),f331(a116,f331(a108,x61261)))+~P107(f331(f331(f239(a1),f2(a1)),x61261))
% 204.30/204.31 [6160]E(f331(a116,f331(f331(f23(a927),x61601),f331(a116,f2(a927)))),x61601)+~P107(f331(f331(f240(a927),f2(a927)),x61601))
% 204.30/204.31 [6378]E(f45(a927,f331(a116,f2(a927)),f331(f107(a927),x63781)),f331(a108,f45(a1,f78(a1),f331(f107(a1),x63781))))+P107(f331(a197,f331(f107(a1),x63781)))
% 204.30/204.31 [6420]~P107(f331(f331(f239(a1),a83),x64201))+P107(f331(f331(f239(a1),a83),f331(f331(f80(a1),x64201),x64201)))
% 204.30/204.31 [6421]~P107(f331(f331(f240(a1),a101),x64211))+P107(f331(f331(f239(a1),a101),f331(f331(f80(a1),x64211),x64211)))
% 204.30/204.31 [6422]~P107(f331(f331(f240(a1),a83),x64221))+P107(f331(f331(f240(a1),a83),f331(f331(f80(a1),x64221),x64221)))
% 204.30/204.31 [6423]~P107(f331(f331(f240(a1),a101),x64231))+P107(f331(f331(f240(a1),a101),f331(f331(f80(a1),x64231),x64231)))
% 204.30/204.31 [6606]~P107(f331(f61(x66061),f246(f935(x66061,a923))))+P107(f331(f61(f931(x66061)),f246(f935(f931(x66061),a923))))
% 204.30/204.31 [6693]~P107(f331(f331(f239(a1),f2(a1)),x66931))+P107(f331(f331(f240(a1),f2(a1)),f331(f331(f80(a1),f78(a1)),x66931)))
% 204.30/204.31 [6700]E(f331(f255(a1,a1),f47(f78(a1),f331(f107(a1),x67001))),f331(f331(f36(a1),f78(a1)),f331(f107(a1),x67001)))+~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x67001)))
% 204.30/204.31 [6720]E(f331(f260(a1,a1),f47(f78(a1),f331(f107(a1),x67201))),f45(a1,f78(a1),f331(f107(a1),x67201)))+~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x67201)))
% 204.30/204.31 [6732]P107(f331(f61(x67321),f246(f935(x67321,a923))))+~P107(f331(f61(f931(x67321)),f246(f935(f931(x67321),a923))))
% 204.30/204.31 [6762]P107(f331(f331(f239(a1),a83),x67621))+~P107(f331(f331(f239(a1),a83),f331(f331(f80(a1),x67621),x67621)))
% 204.30/204.31 [6763]P107(f331(f331(f240(a1),a83),x67631))+~P107(f331(f331(f240(a1),a83),f331(f331(f80(a1),x67631),x67631)))
% 204.30/204.31 [6764]P107(f331(f331(f240(a1),a101),x67641))+~P107(f331(f331(f239(a1),a101),f331(f331(f80(a1),x67641),x67641)))
% 204.30/204.31 [6765]P107(f331(f331(f240(a1),a101),x67651))+~P107(f331(f331(f240(a1),a101),f331(f331(f80(a1),x67651),x67651)))
% 204.30/204.31 [7078]~P107(f331(f61(x70781),f246(f935(x70781,a923))))+P107(f331(f331(f240(a927),f2(a927)),f331(f35(x70781),f246(f935(x70781,a923)))))
% 204.30/204.31 [7667]P107(f331(f61(a927),x76671))+~P107(f331(f61(a1),f331(f314(a927,a1,f104(a1)),x76671)))
% 204.30/204.31 [5729]~E(a101,x57291)+E(f331(f331(f23(a1),f331(f331(f80(a1),x57291),x57291)),a101),a101)
% 204.30/204.31 [5730]~E(x57301,a101)+E(f331(f331(f23(a1),f331(f331(f80(a1),x57301),x57301)),a101),a101)
% 204.30/204.31 [6250]E(x62501,a101)+~E(f331(f331(f23(a1),f331(f331(f80(a1),x62501),x62501)),a101),a101)
% 204.30/204.31 [6251]E(a101,x62511)+~E(f331(f331(f23(a1),f331(f331(f80(a1),x62511),x62511)),a101),a101)
% 204.30/204.31 [6662]~E(f331(f107(a927),x66621),f2(a927))+P107(f331(a197,f331(f107(a1),f331(f331(f80(a1),x66621),a101))))
% 204.30/204.31 [7008]~P107(f331(a197,f331(f107(a1),x70081)))+P107(f331(a197,f331(f107(a1),f331(f331(f80(a1),x70081),x70081))))
% 204.30/204.31 [7009]~P107(f331(f331(f239(a1),x70091),a83))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x70091),x70091)),a83))
% 204.30/204.31 [7010]~P107(f331(f331(f239(a1),x70101),a101))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x70101),x70101)),a101))
% 204.30/204.31 [7011]~P107(f331(f331(f240(a1),x70111),a83))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x70111),x70111)),a83))
% 204.30/204.31 [7012]~P107(f331(f331(f239(a1),x70121),a101))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x70121),x70121)),a101))
% 204.30/204.31 [7333]E(f331(f107(a927),x73331),f2(a927))+~P107(f331(a197,f331(f107(a1),f331(f331(f80(a1),x73331),a101))))
% 204.30/204.31 [7581]~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x75811)))+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),f331(f331(f80(a1),x75811),x75811))))
% 204.30/204.31 [7582]P107(f331(a197,f331(f107(a1),x75821)))+~P107(f331(a197,f331(f107(a1),f331(f331(f80(a1),x75821),x75821))))
% 204.30/204.31 [7583]P107(f331(f331(f239(a1),x75831),a83))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x75831),x75831)),a83))
% 204.30/204.31 [7584]P107(f331(f331(f239(a1),x75841),a101))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x75841),x75841)),a101))
% 204.30/204.31 [7585]P107(f331(f331(f239(a1),x75851),a101))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),x75851),x75851)),a101))
% 204.30/204.31 [7586]P107(f331(f331(f240(a1),x75861),a83))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),x75861),x75861)),a83))
% 204.30/204.31 [7945]E(f331(a110,f575(x79451)),x79451)+~P107(f331(f331(f333(f935(f934(a927,a927),a923)),x79451),a102))
% 204.30/204.31 [6580]~P95(x65801)+E(f331(f107(x65801),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(x65801))
% 204.30/204.31 [7058]~P107(f331(a197,f331(f107(a1),x70581)))+E(f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),x70581),x70581)),a101)),f2(a927))
% 204.30/204.31 [8123]~P107(f331(f331(f240(a1),f331(f107(a1),x81231)),f2(a1)))+E(f331(f255(a1,a1),f331(a51,f50(f331(f79(a1),f78(a1)),f331(f79(a1),f331(f107(a1),x81231))))),f331(f331(f36(a1),f78(a1)),f331(f107(a1),x81231)))
% 204.30/204.31 [8136]~P107(f331(f331(f240(a1),f331(f107(a1),x81361)),f2(a1)))+E(f331(f260(a1,a1),f331(a51,f50(f331(f79(a1),f78(a1)),f331(f79(a1),f331(f107(a1),x81361))))),f45(a1,f78(a1),f331(f107(a1),x81361)))
% 204.30/204.31 [8184]~P107(f331(f331(f239(a1),a83),x81841))+P107(f331(f331(f239(a1),a83),f331(f331(f23(a1),f331(f331(f80(a1),x81841),x81841)),a101)))
% 204.30/204.31 [8185]~P107(f331(f331(f239(a1),a101),x81851))+P107(f331(f331(f239(a1),a101),f331(f331(f23(a1),f331(f331(f80(a1),x81851),x81851)),a101)))
% 204.30/204.31 [8186]~P107(f331(f331(f239(a1),a83),x81861))+P107(f331(f331(f240(a1),a83),f331(f331(f23(a1),f331(f331(f80(a1),x81861),x81861)),a101)))
% 204.30/204.31 [8187]~P107(f331(f331(f240(a1),a101),x81871))+P107(f331(f331(f240(a1),a101),f331(f331(f23(a1),f331(f331(f80(a1),x81871),x81871)),a101)))
% 204.30/204.31 [8487]~P95(x84871)+~P28(x84871,f331(f107(x84871),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))
% 204.30/204.31 [8671]P107(f331(f331(f239(a1),a83),x86711))+~P107(f331(f331(f239(a1),a83),f331(f331(f23(a1),f331(f331(f80(a1),x86711),x86711)),a101)))
% 204.30/204.31 [8672]P107(f331(f331(f239(a1),a83),x86721))+~P107(f331(f331(f240(a1),a83),f331(f331(f23(a1),f331(f331(f80(a1),x86721),x86721)),a101)))
% 204.30/204.31 [8673]P107(f331(f331(f239(a1),a101),x86731))+~P107(f331(f331(f239(a1),a101),f331(f331(f23(a1),f331(f331(f80(a1),x86731),x86731)),a101)))
% 204.30/204.31 [8674]P107(f331(f331(f240(a1),a101),x86741))+~P107(f331(f331(f240(a1),a101),f331(f331(f23(a1),f331(f331(f80(a1),x86741),x86741)),a101)))
% 204.30/204.31 [9003]E(f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),x90031),x90031)),a101)),f331(f331(f86(a927,a927),f331(f107(a927),x90031)),f331(f331(f8(a927,a927,a927),a116),f331(f331(f18(a927,a927,a927),f80(a927)),f5(a927)))))+P107(f331(a197,f331(f107(a1),x90031)))
% 204.30/204.31 [9876]E(x98761,f192(f935(f934(a927,a927),a923)))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x98761),f192(f935(f934(a927,a927),a923)))),a69))
% 204.30/204.31 [8930]~P107(f331(a197,f331(f107(a1),x89301)))+P107(f331(a197,f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x89301),x89301)),a101))))
% 204.30/204.31 [8931]~P107(f331(f331(f240(a1),x89311),a83))+P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x89311),x89311)),a101)),a83))
% 204.30/204.31 [8932]~P107(f331(f331(f239(a1),x89321),a101))+P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x89321),x89321)),a101)),a101))
% 204.30/204.31 [8933]~P107(f331(f331(f240(a1),x89331),a83))+P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x89331),x89331)),a101)),a83))
% 204.30/204.31 [8934]~P107(f331(f331(f240(a1),x89341),a101))+P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x89341),x89341)),a101)),a101))
% 204.30/204.31 [9044]~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x90441)))+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x90441),x90441)),a101))))
% 204.30/204.31 [9204]~P95(x92041)+E(f331(f331(f80(x92041),f78(x92041)),f78(x92041)),f331(f107(x92041),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))
% 204.30/204.31 [9360]P107(f331(a197,f331(f107(a1),x93601)))+~P107(f331(a197,f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93601),x93601)),a101))))
% 204.30/204.31 [9361]P107(f331(f331(f239(a1),x93611),a101))+~P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93611),x93611)),a101)),a101))
% 204.30/204.31 [9362]P107(f331(f331(f240(a1),x93621),a83))+~P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93621),x93621)),a101)),a83))
% 204.30/204.31 [9363]P107(f331(f331(f240(a1),x93631),a83))+~P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93631),x93631)),a101)),a83))
% 204.30/204.31 [9364]P107(f331(f331(f240(a1),x93641),a101))+~P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93641),x93641)),a101)),a101))
% 204.30/204.31 [9921]~P107(f331(f61(f934(a927,a927)),x99211))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),f192(f935(f934(a927,a927),a923))),x99211)),a70))
% 204.30/204.31 [9697]~P147(x96971)+E(f331(f331(f248(x96971),f78(x96971)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x96971))
% 204.30/204.31 [9698]~P147(x96981)+E(f331(f331(f248(x96981),f2(x96981)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(x96981))
% 204.30/204.31 [10145]~P107(f331(f331(f240(a927),f78(a927)),x101451))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f36(a927),x101451),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.30/204.31 [10151]~P107(f331(f331(f240(a927),f2(a927)),x101511))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f36(a927),f331(f331(f80(a927),x101511),f78(a927))),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.30/204.31 [10191]~E(f45(a927,x101911,f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(a927))+P107(f331(f331(f240(a927),f2(a927)),f45(a927,x101911,f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.30/204.31 [10210]E(f45(a927,x102101,f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(a927))+~P107(f331(f331(f240(a927),f2(a927)),f45(a927,x102101,f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.30/204.31 [4851]~P6(x48511,x48512)+P44(x48511,x48512)
% 204.30/204.31 [4852]~P38(x48521,x48522)+P58(x48521,x48522)
% 204.30/204.31 [4853]~P45(x48531,x48532)+P58(x48531,x48532)
% 204.30/204.31 [4855]~P6(x48551,x48552)+P50(x48551,x48552)
% 204.30/204.31 [4857]~P14(x48571,x48572)+P50(x48571,x48572)
% 204.30/204.31 [4859]~P6(x48591,x48592)+P51(x48591,x48592)
% 204.30/204.31 [4861]~P14(x48611,x48612)+P51(x48611,x48612)
% 204.30/204.31 [4862]~P6(x48621,x48622)+P14(x48621,x48622)
% 204.30/204.31 [4812]~E(x48121,x48122)+E(f273(x48121,x48122),f78(a103))
% 204.30/204.31 [4815]E(f221(x48151,x48152),x48151)+~E(x48152,f2(a927))
% 204.30/204.31 [4822]~E(x48222,f117(x48221))+E(f156(x48221,x48222),f117(x48221))
% 204.30/204.31 [4841]~E(f156(x48412,x48411),f117(x48412))+E(x48411,f117(x48412))
% 204.30/204.31 [4866]~P1(x48662)+P1(f935(x48661,x48662))
% 204.30/204.31 [4867]~P108(x48672)+P108(f935(x48671,x48672))
% 204.30/204.31 [4868]~P110(x48682)+P110(f935(x48681,x48682))
% 204.30/204.31 [4869]~P111(x48692)+P111(f935(x48691,x48692))
% 204.30/204.31 [4870]~P2(x48702)+P2(f935(x48701,x48702))
% 204.30/204.31 [4871]~P79(x48712)+P79(f935(x48711,x48712))
% 204.30/204.31 [4872]~P99(x48722)+P80(f935(x48721,x48722))
% 204.30/204.31 [4873]~P79(x48732)+P102(f935(x48731,x48732))
% 204.30/204.31 [4874]~P79(x48742)+P103(f935(x48741,x48742))
% 204.30/204.31 [4875]~P100(x48752)+P100(f935(x48751,x48752))
% 204.30/204.31 [4876]~P4(x48762)+P4(f935(x48761,x48762))
% 204.30/204.31 [4877]~P116(x48772)+P116(f935(x48771,x48772))
% 204.30/204.31 [4878]~P99(x48782)+P101(f935(x48781,x48782))
% 204.30/204.31 [4879]~P97(x48792)+P97(f935(x48791,x48792))
% 204.30/204.31 [4880]~P91(x48802)+P91(f935(x48801,x48802))
% 204.30/204.31 [4881]~P99(x48812)+P99(f935(x48811,x48812))
% 204.30/204.31 [4894]E(x48941,x48942)+~E(f331(a116,x48941),f331(a116,x48942))
% 204.30/204.31 [4895]E(x48951,x48952)+~E(f331(a110,x48951),f331(a110,x48952))
% 204.30/204.31 [4896]E(x48961,x48962)+~E(f331(a3,x48961),f331(a3,x48962))
% 204.30/204.31 [4898]E(x48981,x48982)+~E(f331(a20,x48981),f331(a20,x48982))
% 204.30/204.31 [4951]P40(x49511,x49512)+~E(f714(x49512,x49511),f715(x49512,x49511))
% 204.30/204.31 [4981]~P58(x49811,x49812)+P40(x49811,f311(x49811,x49812))
% 204.30/204.31 [4982]~P52(x49821,x49822)+P52(x49821,f311(x49821,x49822))
% 204.30/204.31 [4995]~P61(x49951)+E(f45(x49951,x49952,x49952),f2(x49951))
% 204.30/204.31 [5029]~P38(x50291,x50292)+P38(f928(x50291),f150(x50291,x50292))
% 204.30/204.31 [5030]~P38(x50301,x50302)+P38(f928(x50301),f149(x50301,x50302))
% 204.30/204.31 [5031]~P39(x50311,x50312)+P39(f928(x50311),f151(x50311,x50312))
% 204.30/204.31 [5032]~P39(x50321,x50322)+P39(f928(x50321),f162(x50321,x50322))
% 204.30/204.31 [5033]~P52(x50331,x50332)+P52(f928(x50331),f162(x50331,x50332))
% 204.30/204.31 [5131]~P38(x51311,x51312)+P38(f935(x51311,a923),f322(x51311,x51312))
% 204.30/204.31 [5132]~P38(x51321,x51322)+P38(f935(x51321,a923),f324(x51321,x51322))
% 204.30/204.31 [5258]~P5(x52581)+P41(f307(a1,x52581,x52582))
% 204.30/204.31 [5361]~P38(x53611,x53612)+P60(x53611,f67(x53611,x53611,x53612))
% 204.30/204.31 [5864]~P81(x58641)+P24(x58641,x58641,f79(x58641),x58642)
% 204.30/204.31 [4836]~E(x48362,f117(x48361))+E(f331(f171(x48361),x48362),f117(x48361))
% 204.30/204.31 [4837]~E(x48372,f117(x48371))+E(f331(f172(x48371),x48372),f117(x48371))
% 204.30/204.31 [4900]E(x49001,f331(a108,x49002))+~E(f331(f104(a1),x49001),x49002)
% 204.30/204.31 [4903]E(x49031,f117(x49032))+~E(f331(f171(x49032),x49031),f117(x49032))
% 204.30/204.31 [4904]E(x49041,f117(x49042))+~E(f331(f172(x49042),x49041),f117(x49042))
% 204.30/204.31 [4920]~P95(x49201)+E(f331(f107(x49201),x49202),f331(f106(x49201),x49202))
% 204.30/204.31 [4928]~P3(x49281)+P107(f331(f61(x49281),x49282))
% 204.30/204.31 [4936]~E(f674(x49362,x49361),f117(x49361))+E(f183(x49361,x49362),f117(f928(x49361)))
% 204.30/204.31 [4945]~E(x49452,f117(x49451))+E(f331(f176(x49451),x49452),f192(f935(x49451,a923)))
% 204.30/204.31 [4946]~E(x49462,f117(x49461))+E(f192(f935(x49461,a923)),f331(f176(x49461),x49462))
% 204.30/204.31 [4948]E(x49481,x49482)+~E(f331(f104(a1),x49481),f331(f104(a1),x49482))
% 204.30/204.31 [4952]E(f219(x49521,x49522),f2(a927))+P107(f331(f61(x49521),x49522))
% 204.30/204.31 [4970]~P114(x49701)+E(f82(x49701,f82(x49701,x49702)),f82(x49701,x49702))
% 204.30/204.31 [4984]~P120(x49841)+E(f331(f331(f248(x49841),x49842),f78(a927)),x49842)
% 204.30/204.31 [4985]~P83(x49851)+E(f331(f331(f248(x49851),x49852),f78(a927)),x49852)
% 204.30/204.31 [4986]~P52(x49861,x49862)+E(f331(f290(x49861,x49861),x49862),x49862)
% 204.30/204.31 [4990]E(x49901,x49902)+E(f273(x49901,x49902),f331(f331(f80(a103),x49902),f78(a103)))
% 204.30/204.31 [4993]E(f331(f35(x49931),x49932),f2(a927))+P107(f331(f61(x49931),x49932))
% 204.30/204.31 [4996]~E(f156(x49961,x49962),x49962)+P107(f331(f141(x49961),x49962))
% 204.30/204.31 [4999]~P80(x49991)+E(f331(f331(f114(x49991),x49992),f192(x49991)),x49992)
% 204.30/204.31 [5000]~P76(x50001)+E(f331(f331(f23(x50001),x50002),f2(x50001)),x50002)
% 204.30/204.31 [5001]~P71(x50011)+E(f331(f331(f81(x50011),x50012),f78(x50011)),x50012)
% 204.30/204.31 [5002]~P120(x50021)+E(f331(f331(f81(x50021),x50022),f78(x50021)),x50022)
% 204.30/204.31 [5003]~P83(x50031)+E(f331(f331(f81(x50031),x50032),f78(x50031)),x50032)
% 204.30/204.31 [5004]~P101(x50041)+E(f331(f331(f105(x50041),x50042),f246(x50041)),x50042)
% 204.30/204.31 [5005]~P72(x50051)+E(f331(f331(f80(x50051),x50052),f2(x50051)),x50052)
% 204.30/204.31 [5006]~P120(x50061)+E(f331(f331(f80(x50061),x50062),f2(x50061)),x50062)
% 204.30/204.31 [5007]~P84(x50071)+E(f331(f331(f80(x50071),x50072),f2(x50071)),x50072)
% 204.30/204.31 [5008]~P124(x50081)+E(f331(f331(f294(x50081),x50082),f78(x50081)),x50082)
% 204.30/204.31 [5009]~P61(x50091)+E(f331(f331(f36(x50091),x50092),f78(x50091)),x50092)
% 204.30/204.31 [5010]~P120(x50101)+E(f331(f331(f248(x50101),x50102),f2(a927)),f78(x50101))
% 204.30/204.31 [5011]~P117(x50111)+E(f331(f331(f248(x50111),x50112),f2(a927)),f78(x50111))
% 204.30/204.31 [5012]~E(x50122,f192(f935(x50121,a923)))+E(f331(f35(x50121),x50122),f2(a927))
% 204.30/204.31 [5023]~P61(x50231)+E(f45(x50231,x50232,f2(x50231)),x50232)
% 204.30/204.31 [5034]~P101(x50341)+E(f331(f331(f114(x50341),x50342),f246(x50341)),f246(x50341))
% 204.30/204.31 [5035]~P120(x50351)+E(f331(f331(f81(x50351),x50352),f2(x50351)),f2(x50351))
% 204.30/204.31 [5036]~P130(x50361)+E(f331(f331(f81(x50361),x50362),f2(x50361)),f2(x50361))
% 204.30/204.31 [5037]~P80(x50371)+E(f331(f331(f105(x50371),x50372),f192(x50371)),f192(x50371))
% 204.30/204.31 [5038]~P125(x50381)+E(f331(f331(f294(x50381),x50382),f2(x50381)),f2(x50381))
% 204.30/204.31 [5039]~P61(x50391)+E(f331(f331(f36(x50391),x50392),f2(x50391)),f2(x50391))
% 204.30/204.31 [5042]~P61(x50421)+E(f45(x50421,x50422,f78(x50421)),f2(x50421))
% 204.30/204.31 [5043]~P61(x50431)+E(f45(x50431,f2(x50431),x50432),f2(x50431))
% 204.30/204.31 [5072]E(x50721,f2(a927))+E(f55(x50722,x50721,f117(x50722)),f117(f928(x50722)))
% 204.30/204.31 [5095]P52(x50951,x50952)+~E(f331(f290(x50951,x50951),x50952),x50952)
% 204.30/204.31 [5096]P38(x50961,x50962)+~E(f583(x50962,x50961),f192(f935(x50961,a923)))
% 204.30/204.31 [5097]E(x50971,f117(x50972))+~E(f331(f176(x50972),x50971),f192(f935(x50972,a923)))
% 204.30/204.31 [5098]E(x50981,f117(x50982))+~E(f192(f935(x50982,a923)),f331(f176(x50982),x50981))
% 204.30/204.31 [5101]~E(x51011,x51012)+P107(f331(f331(a328,x51011),x51012))
% 204.30/204.31 [5111]P107(x51111)+P107(f331(f331(a334,x51111),x51112))
% 204.30/204.31 [5112]E(x51121,f117(x51122))+E(f331(f331(f168(x51122),x51121),f2(a927)),f331(f145(x51122),x51121))
% 204.30/204.31 [5115]E(f156(x51151,x51152),x51152)+~P107(f331(f141(x51151),x51152))
% 204.30/204.31 [5122]~P107(x51222)+P107(f331(f331(a334,x51221),x51222))
% 204.30/204.31 [5123]~P107(x51232)+P107(f331(f331(a330,x51231),x51232))
% 204.30/204.31 [5124]~P107(x51241)+P107(f331(f331(a330,x51241),x51242))
% 204.30/204.31 [5134]~E(f675(x51342,x51341),f679(x51342,x51341))+P107(f331(f141(x51341),x51342))
% 204.30/204.31 [5141]E(f331(f266(x51411),x51412),f192(f935(x51411,a923)))+P107(f331(x51412,f337(x51412)))
% 204.30/204.31 [5142]E(f192(f935(x51421,a923)),f331(f266(x51421),x51422))+P107(f331(x51422,f338(x51422)))
% 204.30/204.31 [5211]~P114(x52111)+E(f331(f331(f81(x52111),x52112),f82(x52111,x52112)),f331(f76(x52111),x52112))
% 204.30/204.31 [5223]~E(x52231,f2(a1))+E(f46(x52231,x52232),f331(f331(f256(a1,a1),f2(a1)),f2(a1)))
% 204.30/204.31 [5254]~P58(x52541,x52542)+P58(x52541,f331(f290(x52541,x52541),x52542))
% 204.30/204.31 [5255]~P39(x52551,x52552)+P39(x52551,f331(f290(x52551,x52551),x52552))
% 204.30/204.31 [5256]~P40(x52561,x52562)+P40(x52561,f331(f290(x52561,x52561),x52562))
% 204.30/204.31 [5257]~P52(x52571,x52572)+P52(x52571,f331(f290(x52571,x52571),x52572))
% 204.30/204.31 [5279]E(x52791,x52792)+~P107(f331(f331(a328,x52791),x52792))
% 204.30/204.31 [5290]P107(x52901)+~P107(f331(f331(a329,x52902),x52901))
% 204.30/204.31 [5291]P107(x52911)+~P107(f331(f331(a329,x52911),x52912))
% 204.30/204.31 [5296]~P116(x52961)+P107(f331(f331(f239(x52961),x52962),f246(x52961)))
% 204.30/204.31 [5297]~P120(x52971)+P107(f331(f331(f291(x52971),x52972),f2(x52971)))
% 204.30/204.31 [5301]E(x53011,x53012)+~E(f331(x53011,f340(x53012,x53011)),f331(x53012,f340(x53012,x53011)))
% 204.30/204.31 [5332]E(x53321,f2(a927))+E(f221(x53321,f45(a927,x53322,x53321)),f221(x53322,x53321))
% 204.30/204.31 [5337]~P109(x53371)+P12(x53371,f331(f331(f155(x53371),x53372),f117(x53371)))
% 204.30/204.31 [5339]E(x53391,f2(a1))+P107(f331(f49(x53392,x53391),f46(x53392,x53391)))
% 204.30/204.31 [5356]~P14(x53562,x53561)+P107(f331(f331(x53561,f809(x53561)),f809(x53561)))
% 204.30/204.31 [5359]~E(x53591,x53592)+P107(f331(f331(f240(a927),x53591),f331(a116,x53592)))
% 204.30/204.31 [5369]~E(x53691,f2(a927))+P107(f331(f331(f240(a927),x53691),f331(a116,x53692)))
% 204.30/204.31 [5379]P107(f331(x53791,x53792))+P107(f331(f331(f239(a1),f2(a1)),f451(x53791)))
% 204.30/204.31 [5443]P58(x54431,x54432)+~P58(x54431,f331(f290(x54431,x54431),x54432))
% 204.30/204.31 [5444]P39(x54441,x54442)+~P39(x54441,f331(f290(x54441,x54441),x54442))
% 204.30/204.31 [5445]P40(x54451,x54452)+~P40(x54451,f331(f290(x54451,x54451),x54452))
% 204.30/204.31 [5446]P52(x54461,x54462)+~P52(x54461,f331(f290(x54461,x54461),x54462))
% 204.30/204.31 [5450]~E(f45(a927,x54502,x54501),f2(a927))+E(f331(f331(f81(a927),x54501),f347(x54501,x54502)),x54502)
% 204.30/204.31 [5451]~E(f45(a1,x54512,x54511),f2(a1))+E(f331(f331(f81(a1),x54511),f348(x54511,x54512)),x54512)
% 204.30/204.31 [5478]~P107(f331(x54781,x54782))+P107(f331(f331(f239(a1),f2(a1)),f346(x54781)))
% 204.30/204.31 [5489]E(f331(f331(f23(a927),f331(a108,x54891)),f331(a108,x54892)),f331(a108,x54891))+~P107(f331(a197,x54892))
% 204.30/204.31 [5518]E(f276(x55181,x55182),f78(a103))+~P107(f331(f331(f239(a103),x55181),f78(a103)))
% 204.30/204.31 [5612]E(f331(f331(f168(x56121),x56122),f675(x56122,x56121)),f331(f331(f168(x56121),x56122),f679(x56122,x56121)))+P107(f331(f141(x56121),x56122))
% 204.30/204.31 [5655]~P107(f331(x56551,f90(x56552,x56551)))+P107(f331(x56551,f585(x56552,x56551)))
% 204.30/204.31 [5719]P60(x57191,x57192)+~P107(f331(f319(x57191,x57192),f554(x57192,x57191)))
% 204.30/204.31 [5861]~P14(x58612,x58611)+P107(f331(f331(x58611,f810(x58611,x58612)),f810(x58611,x58612)))
% 204.30/204.31 [5862]~P14(x58622,x58621)+P107(f331(f331(x58621,f814(x58621,x58622)),f814(x58621,x58622)))
% 204.30/204.31 [5871]~E(f331(a116,f45(a927,x58711,x58712)),x58712)+E(f45(a927,f331(a116,x58711),x58712),f2(a927))
% 204.30/204.31 [5926]P38(x59261,x59262)+P107(f331(f331(f333(x59261),f620(x59262,x59261)),f621(x59262,x59261)))
% 204.30/204.31 [5933]~P144(x59331)+P107(f331(f331(f333(x59331),f331(f104(x59331),x59332)),f113(x59331)))
% 204.30/204.31 [5934]~P147(x59341)+P107(f331(f331(f333(x59341),f331(f104(x59341),x59342)),f190(x59341)))
% 204.30/204.31 [5935]~P144(x59351)+P107(f331(f331(f333(x59351),f331(f106(x59351),x59352)),f113(x59351)))
% 204.30/204.31 [5936]~P95(x59361)+P107(f331(f331(f333(x59361),f331(f107(x59361),x59362)),f113(x59361)))
% 204.30/204.31 [6070]~P39(x60701,x60702)+E(f331(f331(f293(x60701,x60701,x60701),x60702),f311(x60701,x60702)),x60702)
% 204.30/204.31 [6084]E(f331(a116,f45(a927,x60841,x60842)),x60842)+E(f45(a927,f331(a116,x60841),x60842),f331(a116,f45(a927,x60841,x60842)))
% 204.30/204.31 [6506]P38(x65061,x65062)+~P107(f331(f331(f333(x65061),f526(x65062,x65061)),f320(x65061,x65062)))
% 204.30/204.31 [6544]~P127(x65441)+~P107(f331(f331(f240(x65441),f331(f104(x65441),x65442)),f2(x65441)))
% 204.30/204.31 [6545]~P88(x65451)+~P107(f331(f331(f240(x65451),f331(f76(x65451),x65452)),f2(x65451)))
% 204.30/204.31 [6633]P107(f331(f331(f240(a1),x66331),f45(a1,x66332,x66331)))+~P107(f331(f331(f240(a1),x66331),f2(a1)))
% 204.30/204.31 [6734]E(f331(f331(f313(a927),f331(a116,x67341)),f307(a927,x67342,x67341)),f307(a927,x67342,f331(a116,x67341)))+~P107(f331(f331(f239(a927),x67342),f331(a116,x67341)))
% 204.30/204.31 [6823]~P109(x68231)+P12(x68231,f154(x68231,x68231,f5(x68231),x68232))
% 204.30/204.31 [6952]E(f331(f171(x69521),x69522),x69522)+~P107(f331(f331(f239(a927),f331(f193(f928(x69521)),x69522)),f78(a927)))
% 204.30/204.31 [6971]~P88(x69711)+P107(f331(f331(f239(x69711),f331(f79(x69711),f331(f76(x69711),x69712))),f2(x69711)))
% 204.30/204.31 [7004]~P38(x70041,x70042)+P38(x70041,f331(f331(f293(x70041,x70041,x70041),x70042),f311(x70041,x70042)))
% 204.30/204.31 [7005]~P52(x70051,x70052)+P52(x70051,f331(f331(f293(x70051,x70051,x70051),x70052),f311(x70051,x70052)))
% 204.30/204.31 [7225]~P107(f331(f331(f240(a1),x72252),f2(a1)))+P107(f331(f331(f239(a1),f45(a1,x72251,x72252)),f2(a1)))
% 204.30/204.31 [7623]~P147(x76231)+E(f194(x76231,f331(f331(f7(x76231,x76231,x76231),f80(x76231)),f78(x76231)),x76232,f2(x76231)),f331(f104(x76231),x76232))
% 204.30/204.31 [7653]~P128(x76531)+~P107(f331(f331(f240(x76531),f331(f331(f81(x76531),x76532),x76532)),f2(x76531)))
% 204.30/204.31 [10297]~P114(x102971)+~P107(f331(f331(f240(x102971),f331(f331(f248(x102971),x102972),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x102971)))
% 204.30/204.31 [4901]~E(x49012,f117(x49011))+E(f331(f193(f928(x49011)),x49012),f2(a927))
% 204.30/204.31 [4937]~E(x49371,f2(a927))+E(f331(f331(f80(a927),x49371),x49372),x49372)
% 204.30/204.31 [4938]~E(x49382,f2(a927))+E(f331(f331(f81(a927),x49381),x49382),f2(a927))
% 204.30/204.31 [4940]~E(x49401,f2(a927))+E(f331(f331(f81(a927),x49401),x49402),f2(a927))
% 204.30/204.31 [4941]~E(x49412,f2(a927))+E(f331(f331(f248(a927),x49411),x49412),f78(a927))
% 204.30/204.31 [4942]~E(x49422,f2(a1))+E(f331(f331(f36(a1),x49421),x49422),f2(a1))
% 204.30/204.31 [4953]E(x49531,f117(x49532))+~E(f331(f193(f928(x49532)),x49531),f2(a927))
% 204.30/204.31 [4954]~P79(x49541)+E(f331(f331(f114(x49541),x49542),x49542),x49542)
% 204.30/204.31 [4956]~P102(x49561)+E(f331(f331(f114(x49561),x49562),x49562),x49562)
% 204.30/204.31 [4958]~P98(x49581)+E(f331(f331(f81(x49581),x49582),x49582),x49582)
% 204.30/204.31 [4959]~P79(x49591)+E(f331(f331(f105(x49591),x49592),x49592),x49592)
% 204.30/204.31 [4961]~P103(x49611)+E(f331(f331(f105(x49611),x49612),x49612),x49612)
% 204.30/204.31 [4963]~P109(x49631)+E(f331(f331(f237(x49631),x49632),x49632),x49632)
% 204.30/204.31 [4965]~P109(x49651)+E(f331(f331(f238(x49651),x49652),x49652),x49652)
% 204.30/204.31 [4983]~P76(x49831)+E(f331(f331(f23(x49831),x49832),x49832),f2(x49831))
% 204.30/204.31 [4997]~P76(x49971)+E(f331(f79(x49971),f331(f79(x49971),x49972)),x49972)
% 204.30/204.31 [4998]~P97(x49981)+E(f331(f79(x49981),f331(f79(x49981),x49982)),x49982)
% 204.30/204.31 [5015]~E(x50152,f2(a927))+E(f331(f331(f248(a927),x50151),x50152),f331(a116,f2(a927)))
% 204.30/204.31 [5051]~P80(x50511)+E(f331(f331(f114(x50511),f192(x50511)),x50512),x50512)
% 204.30/204.31 [5052]~P71(x50521)+E(f331(f331(f81(x50521),f78(x50521)),x50522),x50522)
% 204.30/204.31 [5053]~P120(x50531)+E(f331(f331(f81(x50531),f78(x50531)),x50532),x50532)
% 204.30/204.31 [5054]~P83(x50541)+E(f331(f331(f81(x50541),f78(x50541)),x50542),x50542)
% 204.30/204.31 [5055]~P101(x50551)+E(f331(f331(f105(x50551),f246(x50551)),x50552),x50552)
% 204.30/204.31 [5056]~P72(x50561)+E(f331(f331(f80(x50561),f2(x50561)),x50562),x50562)
% 204.30/204.31 [5057]~P120(x50571)+E(f331(f331(f80(x50571),f2(x50571)),x50572),x50572)
% 204.30/204.31 [5058]~P84(x50581)+E(f331(f331(f80(x50581),f2(x50581)),x50582),x50582)
% 204.30/204.31 [5076]~P101(x50761)+E(f331(f331(f114(x50761),f246(x50761)),x50762),f246(x50761))
% 204.30/204.31 [5077]~P120(x50771)+E(f331(f331(f81(x50771),f2(x50771)),x50772),f2(x50771))
% 204.30/204.31 [5078]~P130(x50781)+E(f331(f331(f81(x50781),f2(x50781)),x50782),f2(x50781))
% 204.30/204.31 [5079]~P80(x50791)+E(f331(f331(f105(x50791),f192(x50791)),x50792),f192(x50791))
% 204.30/204.31 [5080]~P83(x50801)+E(f331(f331(f248(x50801),f78(x50801)),x50802),f78(x50801))
% 204.30/204.31 [5081]~P124(x50811)+E(f331(f331(f294(x50811),f2(x50811)),x50812),f2(x50811))
% 204.30/204.31 [5082]~P61(x50821)+E(f331(f331(f36(x50821),f2(x50821)),x50822),f2(x50821))
% 204.30/204.31 [5090]E(x50901,f117(x50902))+E(f148(x50902,f331(f172(x50902),x50901)),f331(f145(x50902),x50901))
% 204.30/204.31 [5091]E(x50911,f117(x50912))+E(f331(f145(x50912),f331(f172(x50912),x50911)),f148(x50912,x50911))
% 204.30/204.31 [5092]E(x50921,f2(a927))+~E(f331(f331(f80(a927),x50922),x50921),x50922)
% 204.30/204.31 [5099]~P144(x50991)+E(f331(f106(x50991),f331(f104(a1),x50992)),f331(f104(x50991),x50992))
% 204.30/204.31 [5100]~P95(x51001)+E(f331(f106(x51001),f331(f107(a1),x51002)),f331(f107(x51001),x51002))
% 204.30/204.31 [5107]E(x51071,f78(a927))+~E(f331(f331(f81(a927),x51072),x51071),f78(a927))
% 204.30/204.31 [5108]E(x51081,f78(a927))+~E(f331(f331(f81(a927),x51081),x51082),f78(a927))
% 204.30/204.31 [5109]E(x51091,f2(a927))+~E(f331(f331(f80(a927),x51092),x51091),f2(a927))
% 204.30/204.31 [5110]E(x51101,f2(a927))+~E(f331(f331(f80(a927),x51101),x51102),f2(a927))
% 204.30/204.31 [5127]~P114(x51271)+E(f331(f76(x51271),f331(f104(x51271),x51272)),f331(f104(x51271),x51272))
% 204.30/204.31 [5128]~P88(x51281)+E(f331(f76(x51281),f331(f76(x51281),x51282)),f331(f76(x51281),x51282))
% 204.30/204.31 [5129]~P88(x51291)+E(f331(f76(x51291),f331(f79(x51291),x51292)),f331(f76(x51291),x51292))
% 204.30/204.31 [5130]~P72(x51301)+E(f331(f169(x51301),f331(f172(x51301),x51302)),f331(f169(x51301),x51302))
% 204.30/204.31 [5135]~E(x51351,f331(a116,f2(a927)))+E(f331(f331(f248(a927),x51351),x51352),f331(a116,f2(a927)))
% 204.30/204.31 [5144]~P76(x51441)+E(f331(f331(f23(x51441),f2(x51441)),x51442),f331(f79(x51441),x51442))
% 204.30/204.31 [5145]~E(x51452,f2(a927))+E(f143(a927,f331(f306(a927,x51451),x51452)),f117(a927))
% 204.30/204.31 [5154]~P95(x51541)+E(f331(f331(f80(x51541),x51542),f331(f107(x51541),a83)),x51542)
% 204.30/204.31 [5155]E(x51551,f2(a1))+E(f47(f331(f76(a1),x51552),f331(f76(a1),x51551)),f53(x51552,x51551))
% 204.30/204.31 [5171]~E(x51711,x51712)+P107(f331(f331(f239(a927),x51711),x51712))
% 204.30/204.31 [5178]~E(x51781,f2(a103))+E(f331(f331(f80(a927),f331(a20,x51781)),x51782),x51782)
% 204.30/204.31 [5179]~E(f331(f107(a1),x51792),f331(f104(a1),x51791))+E(x51791,f331(a108,f331(f107(a1),x51792)))
% 204.30/204.31 [5192]~P5(x51921)+P5(f331(f331(f248(a1),x51921),x51922))
% 204.30/204.31 [5193]~P97(x51931)+E(f331(f331(f114(x51931),x51932),f331(f79(x51931),x51932)),f246(x51931))
% 204.30/204.31 [5194]~P97(x51941)+E(f331(f331(f105(x51941),x51942),f331(f79(x51941),x51942)),f192(x51941))
% 204.30/204.31 [5195]~P76(x51951)+E(f331(f331(f80(x51951),x51952),f331(f79(x51951),x51952)),f2(x51951))
% 204.30/204.31 [5220]E(x52201,f2(a927))+~E(f331(f79(a1),f331(f104(a1),x52202)),f331(f104(a1),x52201))
% 204.30/204.31 [5221]E(x52211,f2(a927))+~E(f331(f79(a1),f331(f104(a1),x52211)),f331(f104(a1),x52212))
% 204.30/204.31 [5231]E(f199(x52311,x52312),f2(a1))+P107(f331(f331(f239(a1),x52312),x52311))
% 204.30/204.31 [5232]E(f182(x52321,x52322),f117(a1))+P107(f331(f331(f239(a1),x52321),x52322))
% 204.30/204.31 [5233]E(f245(x52331,x52332),f2(a103))+P107(f331(f331(f240(a103),x52331),x52332))
% 204.30/204.31 [5246]E(x52461,f331(a116,f2(a927)))+~E(f331(f331(f81(a927),x52462),x52461),f331(a116,f2(a927)))
% 204.30/204.31 [5247]E(x52471,f331(a116,f2(a927)))+~E(f331(f331(f81(a927),x52471),x52472),f331(a116,f2(a927)))
% 204.30/204.31 [5248]~P108(x52481)+P107(f331(f331(f239(x52481),x52482),x52482))
% 204.30/204.31 [5251]~P95(x52511)+E(f331(f331(f81(x52511),x52512),f331(f107(x52511),a101)),f331(f79(x52511),x52512))
% 204.30/204.31 [5271]~P144(x52711)+E(f331(f79(x52711),f331(f106(x52711),x52712)),f331(f106(x52711),f331(f79(a1),x52712)))
% 204.30/204.31 [5272]~P95(x52721)+E(f331(f79(x52721),f331(f107(x52721),x52722)),f331(f107(x52721),f331(f79(a1),x52722)))
% 204.30/204.31 [5302]~E(x53021,f331(a116,x53022))+P107(f331(f331(f240(a927),f2(a927)),x53021))
% 204.30/204.31 [5320]~P109(x53201)+E(f331(f79(f935(x53201,a923)),f331(f286(x53201),x53202)),f331(f287(x53201),x53202))
% 204.30/204.31 [5321]~P109(x53211)+E(f331(f79(f935(x53211,a923)),f331(f305(x53211),x53212)),f331(f308(x53211),x53212))
% 204.30/204.31 [5322]~P109(x53221)+E(f331(f79(f935(x53221,a923)),f331(f308(x53221),x53222)),f331(f305(x53221),x53222))
% 204.30/204.31 [5323]~P109(x53231)+E(f331(f79(f935(x53231,a923)),f331(f287(x53231),x53232)),f331(f286(x53231),x53232))
% 204.30/204.31 [5331]~E(f331(f104(a1),x53312),x53311)+P107(f331(f331(f239(a1),f2(a1)),x53311))
% 204.30/204.31 [5338]~E(x53382,f2(a1))+E(f53(x53381,x53382),f331(f331(f256(a1,a1),f2(a1)),f331(f76(a1),x53381)))
% 204.30/204.31 [5340]~P1(x53401)+P107(f331(f331(f239(x53401),f192(x53401)),x53402))
% 204.30/204.31 [5374]E(x53741,x53742)+~E(f331(f331(f80(a1),x53741),x53741),f331(f331(f80(a1),x53742),x53742))
% 204.30/204.31 [5378]~P107(f331(x53781,x53782))+P107(f331(x53781,f331(a108,f346(x53781))))
% 204.30/204.31 [5404]~P114(x54041)+E(f331(f331(f81(x54041),f82(x54041,x54042)),f331(f76(x54041),x54042)),x54042)
% 204.30/204.31 [5405]E(x54051,x54052)+~P107(f331(f331(f198(a25),x54051),x54052))
% 204.30/204.31 [5412]~E(x54122,f2(a927))+E(f85(f934(a927,a927),f48(x54121,x54122)),f331(f331(f256(a927,a927),f2(a927)),x54121))
% 204.30/204.31 [5417]~E(x54171,x54172)+~P107(f331(f331(f240(a927),x54171),x54172))
% 204.30/204.31 [5418]~E(x54181,x54182)+~P107(f331(f331(f240(a1),x54181),x54182))
% 204.30/204.31 [5421]~P147(x54211)+E(f331(f331(f80(x54211),f78(x54211)),f331(f104(x54211),x54212)),f331(f104(x54211),f331(a116,x54212)))
% 204.30/204.31 [5425]~E(x54251,f2(a927))+~P107(f331(f331(f240(a927),x54252),x54251))
% 204.30/204.31 [5439]E(f156(x54391,x54392),x54392)+~E(f331(f193(f928(x54391)),f156(x54391,x54392)),f331(f193(f928(x54391)),x54392))
% 204.30/204.31 [5440]E(f331(f35(x54401),f331(f176(x54401),x54402)),f331(f193(f928(x54401)),x54402))+~P107(f331(f141(x54401),x54402))
% 204.30/204.31 [5455]~P107(f331(x54551,f372(x54551)))+P107(f331(x54551,f331(f104(a1),x54552)))
% 204.30/204.31 [5466]E(f245(x54661,x54662),x54662)+~P107(f331(f331(f240(a103),x54661),x54662))
% 204.30/204.31 [5468]E(f276(x54681,x54682),f78(a103))+~P107(f331(f331(f240(a103),x54682),x54681))
% 204.30/204.31 [5469]E(f182(x54691,x54692),f117(a1))+~P107(f331(f331(f240(a1),x54692),x54691))
% 204.30/204.31 [5470]E(f132(x54701,x54702),f119(a1))+~P107(f331(f331(f240(a1),x54701),x54702))
% 204.30/204.31 [5472]~P111(x54721)+E(f307(x54721,x54722,x54722),f331(f331(f313(x54721),x54722),f192(f935(x54721,a923))))
% 204.30/204.31 [5492]~E(f331(f331(f23(a927),x54921),x54922),f2(a927))+P107(f331(f331(f239(a927),x54921),x54922))
% 204.30/204.31 [5515]~E(x55152,f2(a927))+E(f55(x55151,x55152,f117(x55151)),f331(f331(f155(f928(x55151)),f117(x55151)),f117(f928(x55151))))
% 204.30/204.31 [5519]~P108(x55191)+~P107(f331(f331(f240(x55191),x55192),x55192))
% 204.30/204.31 [5521]~E(f45(a1,x55211,x55212),f2(a1))+E(f45(a1,x55211,f331(f79(a1),x55212)),f2(a1))
% 204.30/204.31 [5523]~E(f45(a1,x55231,x55232),f2(a1))+E(f45(a1,f331(f79(a1),x55231),x55232),f2(a1))
% 204.30/204.31 [5530]E(f331(f306(a927,x55301),f331(a116,x55302)),f192(f935(a927,a923)))+P107(f331(f331(f239(a927),x55301),x55302))
% 204.30/204.31 [5553]E(f143(a927,f331(f306(a927,x55531),x55532)),f117(a927))+P107(f331(f331(f240(a927),x55531),x55532))
% 204.30/204.31 [5558]~E(f331(f35(x55581),f331(f176(x55581),x55582)),f331(f193(f928(x55581)),x55582))+P107(f331(f141(x55581),x55582))
% 204.30/204.31 [5562]~P107(f331(f141(x55621),x55622))+P107(f331(f141(x55621),f331(f171(x55621),x55622)))
% 204.30/204.31 [5563]~P107(f331(f141(x55631),x55632))+P107(f331(f141(x55631),f331(f175(x55631),x55632)))
% 204.30/204.31 [5564]~P107(f331(f141(x55641),x55642))+P107(f331(f141(x55641),f331(f172(x55641),x55642)))
% 204.30/204.31 [5572]P107(f331(x55721,x55722))+~P107(f331(x55721,f331(a108,f451(x55721))))
% 204.30/204.31 [5573]P107(f331(f331(f239(a927),x55732),x55731))+P107(f331(f331(f239(a927),x55731),x55732))
% 204.30/204.31 [5574]P107(f331(f331(f239(a1),x55742),x55741))+P107(f331(f331(f239(a1),x55741),x55742))
% 204.30/204.31 [5578]~P88(x55781)+P107(f331(f331(f239(x55781),x55782),f331(f76(x55781),x55782)))
% 204.30/204.31 [5581]P107(f331(x55811,f373(x55811)))+~P107(f331(x55811,f331(f104(a1),x55812)))
% 204.30/204.31 [5605]E(f331(f331(f23(a927),x56051),x56052),f2(a927))+~P107(f331(f331(f239(a927),x56051),x56052))
% 204.30/204.31 [5606]E(f331(f331(f36(a927),x56061),x56062),f2(a927))+~P107(f331(f331(f240(a927),x56061),x56062))
% 204.30/204.31 [5624]E(f45(a927,x56241,x56242),x56241)+~P107(f331(f331(f240(a927),x56241),x56242))
% 204.30/204.31 [5632]E(f45(a1,x56321,f331(f79(a1),x56322)),f295(x56321,x56322))+P107(f331(f331(f239(a1),f2(a1)),x56322))
% 204.30/204.31 [5644]E(f331(f331(f23(a1),x56441),x56442),f199(x56441,x56442))+~P107(f331(f331(f239(a1),x56442),x56441))
% 204.30/204.31 [5664]P107(f331(f331(f239(a1),f2(a1)),f372(x56641)))+P107(f331(x56641,f331(f104(a1),x56642)))
% 204.30/204.31 [5677]~P127(x56771)+P107(f331(f331(f239(x56771),f2(x56771)),f331(f104(x56771),x56772)))
% 204.30/204.31 [5678]~P88(x56781)+P107(f331(f331(f239(x56781),f2(x56781)),f331(f76(x56781),x56782)))
% 204.30/204.31 [5705]E(f331(f331(f80(a927),x57051),f827(x57052,x57051)),x57052)+~P107(f331(f331(f239(a927),x57051),x57052))
% 204.30/204.31 [5717]~E(f331(f107(a1),x57171),f331(f104(a1),x57172))+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x57171)))
% 204.30/204.31 [5720]E(f307(a1,x57201,x57202),f192(f935(a1,a923)))+~P107(f331(f331(f240(a1),x57202),x57201))
% 204.30/204.31 [5722]~P114(x57221)+E(f331(f331(f81(x57221),f331(f76(x57221),x57222)),f331(f76(x57221),x57222)),f331(f331(f81(x57221),x57222),x57222))
% 204.30/204.31 [5728]E(f143(a927,f331(f306(a927,x57281),f331(a116,x57282))),f117(a927))+P107(f331(f331(f239(a927),x57281),x57282))
% 204.30/204.31 [5732]E(f331(f331(f36(a1),x57321),x57322),f296(x57321,x57322))+~P107(f331(f331(f239(a1),f2(a1)),x57322))
% 204.30/204.31 [5752]P107(f331(f141(x57521),x57522))+~P107(f331(f141(x57521),f331(f171(x57521),x57522)))
% 204.30/204.31 [5753]P107(f331(f141(x57531),x57532))+~P107(f331(f141(x57531),f331(f172(x57531),x57532)))
% 204.30/204.31 [5778]P107(f331(f61(a927),x57781))+P107(f331(f331(f333(a927),f374(x57781,x57782)),x57781))
% 204.30/204.31 [5779]P107(f331(f61(a927),x57791))+P107(f331(f331(f333(a927),f376(x57791,x57792)),x57791))
% 204.30/204.31 [5782]P107(f331(f331(f240(a927),x57822),f331(a116,x57821)))+P107(f331(f331(f240(a927),x57821),x57822))
% 204.30/204.31 [5783]E(f45(a1,x57831,x57832),f295(x57831,x57832))+~P107(f331(f331(f239(a1),f2(a1)),x57832))
% 204.30/204.31 [5786]E(f143(a927,f331(f306(a927,x57861),x57862)),f117(a927))+~P107(f331(f331(f239(a927),x57862),x57861))
% 204.30/204.31 [5787]~P81(x57871)+E(f331(f314(x57871,x57871,f79(x57871)),f331(f286(x57871),x57872)),f331(f308(x57871),f331(f79(x57871),x57872)))
% 204.30/204.31 [5788]~P81(x57881)+E(f331(f314(x57881,x57881,f79(x57881)),f331(f305(x57881),x57882)),f331(f287(x57881),f331(f79(x57881),x57882)))
% 204.30/204.31 [5789]~P81(x57891)+E(f331(f314(x57891,x57891,f79(x57891)),f331(f308(x57891),x57892)),f331(f286(x57891),f331(f79(x57891),x57892)))
% 204.30/204.31 [5790]~P81(x57901)+E(f331(f314(x57901,x57901,f79(x57901)),f331(f287(x57901),x57902)),f331(f305(x57901),f331(f79(x57901),x57902)))
% 204.30/204.31 [5801]E(x58011,f192(f935(x58012,a923)))+P107(f331(f331(f333(x58012),f449(x58011,x58012)),x58011))
% 204.30/204.31 [5802]E(x58021,f192(f935(x58022,a923)))+P107(f331(f331(f333(x58022),f391(x58021,x58022)),x58021))
% 204.30/204.31 [5813]~P107(f331(f331(f240(a927),x58131),x58132))+P107(f331(f331(f239(a927),x58131),x58132))
% 204.30/204.31 [5814]~P107(f331(f331(f240(a1),x58141),x58142))+P107(f331(f331(f239(a1),x58141),x58142))
% 204.30/204.31 [5830]E(f47(x58301,x58302),f331(f331(f256(a1,a1),f2(a1)),x58301))+~P107(f331(f331(f240(a1),x58301),x58302))
% 204.30/204.31 [5832]E(f220(f331(f79(a1),x58321),f331(f79(a1),x58322)),f220(x58321,x58322))+~P107(f331(f331(f240(a1),x58322),f2(a1)))
% 204.30/204.31 [5843]E(x58431,x58432)+~E(f331(a3,f331(a116,f331(a20,x58431))),f331(a3,f331(a116,f331(a20,x58432))))
% 204.30/204.31 [5848]E(f47(x58481,x58482),f331(f331(f256(a1,a1),f2(a1)),x58481))+~P107(f331(f331(f239(a1),x58482),f2(a1)))
% 204.30/204.31 [5877]E(f45(a927,f331(f107(a927),x58771),f331(f107(a927),x58772)),f2(a927))+~P107(f331(a197,f331(f107(a1),x58771)))
% 204.30/204.31 [5891]P107(f331(f331(f239(a1),f2(a1)),f373(x58911)))+~P107(f331(x58911,f331(f104(a1),x58912)))
% 204.30/204.31 [5924]P41(f307(a1,x59241,x59242))+~P107(f331(f331(f239(a1),f2(a1)),x59241))
% 204.30/204.31 [5929]~P107(f331(f61(x59291),x59292))+P107(f331(f61(f935(x59291,a923)),f331(f312(x59291),x59292)))
% 204.30/204.31 [5942]E(f331(f331(f80(a1),x59421),f331(f104(a1),f383(x59422,x59421))),x59422)+~P107(f331(f331(f239(a1),x59421),x59422))
% 204.30/204.31 [5950]P107(f331(f331(f239(a927),x59501),x59502))+P107(f331(f331(f239(a927),f331(a116,x59502)),x59501))
% 204.30/204.31 [5994]E(f331(f331(f36(a927),f331(f107(a927),x59941)),f331(f107(a927),x59942)),f2(a927))+~P107(f331(a197,f331(f107(a1),x59941)))
% 204.30/204.31 [5995]E(f331(f331(f81(a927),f331(f107(a927),x59951)),f331(f107(a927),x59952)),f2(a927))+~P107(f331(f331(f240(a1),x59951),a83))
% 204.30/204.31 [5997]P107(f331(f331(f239(a927),x59971),f331(a116,x59972)))+~P107(f331(f331(f239(a927),x59971),x59972))
% 204.30/204.31 [5999]P107(f331(f331(f240(a927),x59991),f331(a116,x59992)))+~P107(f331(f331(f239(a927),x59991),x59992))
% 204.30/204.31 [6001]P107(f331(f331(f240(a927),x60011),f331(a116,x60012)))+~P107(f331(f331(f240(a927),x60011),x60012))
% 204.30/204.31 [6004]~E(x60041,x60042)+P107(f331(f331(f240(a1),x60041),f331(f331(f80(a1),x60042),f78(a1))))
% 204.30/204.31 [6007]E(f45(a1,x60071,x60072),f2(a1))+E(f331(f331(f23(a1),x60072),f45(a1,x60071,x60072)),f45(a1,f331(f79(a1),x60071),x60072))
% 204.30/204.31 [6016]E(x60161,f117(x60162))+P107(f331(f331(f333(x60162),f148(x60162,x60161)),f331(f176(x60162),x60161)))
% 204.30/204.31 [6028]E(f85(f934(a927,a927),f48(x60281,x60282)),f331(f331(f256(a927,a927),f2(a927)),x60281))+~P107(f331(f331(f240(a927),x60281),x60282))
% 204.30/204.31 [6063]E(f331(f331(f23(a927),f331(f107(a927),x60631)),f331(f107(a927),x60632)),f331(f107(a927),x60631))+~P107(f331(f331(f240(a1),x60632),a83))
% 204.30/204.31 [6064]E(f331(f331(f80(a927),f331(f107(a927),x60641)),f331(f107(a927),x60642)),f331(f107(a927),x60642))+~P107(f331(f331(f240(a1),x60641),a83))
% 204.30/204.31 [6071]E(f331(a116,f331(f331(f80(a927),x60711),f882(x60712,x60711))),x60712)+~P107(f331(f331(f240(a927),x60711),x60712))
% 204.30/204.31 [6095]P107(f331(x60951,x60952))+~P107(f331(x60951,f331(a89,f574(x60952,x60951))))
% 204.30/204.31 [6096]P107(f331(x60961,x60962))+~P107(f331(x60961,f331(a3,f828(x60962,x60961))))
% 204.30/204.31 [6105]~P107(f331(f331(f240(a927),x61051),f331(a116,x61052)))+P107(f331(f331(f239(a927),x61051),x61052))
% 204.30/204.31 [6151]E(f331(f331(f313(a927),x61511),f331(f306(a927,x61512),x61511)),f331(f306(a927,x61512),f331(a116,x61511)))+~P107(f331(f331(f239(a927),x61512),x61511))
% 204.30/204.31 [6153]E(x61531,f117(x61532))+E(f331(f331(f138(x61532),f118(x61532,x61531)),f331(f331(f155(x61532),f148(x61532,x61531)),f117(x61532))),x61531)
% 204.30/204.31 [6170]P107(f331(f61(x61701),x61702))+~P107(f331(f331(f240(a927),f2(a927)),f331(f35(x61701),x61702)))
% 204.30/204.31 [6173]~E(x61731,f192(f935(x61732,a923)))+~P107(f331(f331(f240(a927),f2(a927)),f331(f35(x61732),x61731)))
% 204.30/204.31 [6185]~P107(f331(f331(f240(a927),x61851),x61852))+P107(f331(f331(f239(a927),f331(a116,x61851)),x61852))
% 204.30/204.31 [6190]~P109(x61901)+E(f154(x61901,x61901,f5(x61901),f156(x61901,x61902)),f143(x61901,f331(f176(x61901),x61902)))
% 204.30/204.31 [6193]E(x61931,f117(x61932))+P107(f331(f331(f333(x61932),f331(f145(x61932),x61931)),f331(f176(x61932),x61931)))
% 204.30/204.31 [6199]~P127(x61991)+P107(f331(f331(f240(x61991),x61992),f331(f331(f80(x61991),x61992),f78(x61991))))
% 204.30/204.31 [6201]~P88(x62011)+P107(f331(f331(f239(x62011),f331(f79(x62011),x62012)),f331(f76(x62011),x62012)))
% 204.30/204.31 [6234]P107(f331(f61(a927),x62341))+~P107(f331(f331(f239(a927),f376(x62341,x62342)),x62342))
% 204.30/204.31 [6235]P107(f331(f61(a927),x62351))+~P107(f331(f331(f240(a927),f374(x62351,x62352)),x62352))
% 204.30/204.31 [6239]~P107(f331(f61(f934(x62391,x62391)),x62392))+P107(f331(f61(x62391),f331(f285(x62391),x62392)))
% 204.30/204.31 [6297]~P107(f331(f331(f240(a927),x62972),f331(a116,x62971)))+~P107(f331(f331(f240(a927),x62971),x62972))
% 204.30/204.31 [6298]~P111(x62981)+E(f331(f331(f105(f935(x62981,a923)),f331(f305(x62981),x62982)),f331(f287(x62981),x62982)),f331(f331(f313(x62981),x62982),f192(f935(x62981,a923))))
% 204.30/204.31 [6310]P107(f331(f61(x63101),x63102))+~P107(f331(f61(f935(x63101,a923)),f331(f312(x63101),x63102)))
% 204.30/204.31 [6333]P107(f331(f331(f239(a927),f331(a116,x63331)),f331(a116,x63332)))+~P107(f331(f331(f239(a927),x63331),x63332))
% 204.30/204.31 [6334]P107(f331(f331(f239(a927),f331(a20,x63341)),f331(a20,x63342)))+~P107(f331(f331(f239(a103),x63341),x63342))
% 204.30/204.31 [6335]P107(f331(f331(f239(a103),f331(a3,x63351)),f331(a3,x63352)))+~P107(f331(f331(f239(a927),x63351),x63352))
% 204.30/204.31 [6337]P107(f331(f331(f240(a927),f331(a116,x63371)),f331(a116,x63372)))+~P107(f331(f331(f240(a927),x63371),x63372))
% 204.30/204.31 [6338]P107(f331(f331(f240(a927),f331(a20,x63381)),f331(a20,x63382)))+~P107(f331(f331(f240(a103),x63381),x63382))
% 204.30/204.31 [6339]P107(f331(f331(f240(a103),f331(a3,x63391)),f331(a3,x63392)))+~P107(f331(f331(f240(a927),x63391),x63392))
% 204.30/204.31 [6344]E(x63441,x63442)+~E(f331(f314(a927,a1,f104(a1)),x63441),f331(f314(a927,a1,f104(a1)),x63442))
% 204.30/204.31 [6360]P107(f331(f331(f239(a927),x63601),x63602))+~P107(f331(f331(f239(a927),f331(a116,x63601)),x63602))
% 204.30/204.31 [6363]P107(f331(f331(f240(a927),x63631),x63632))+~P107(f331(f331(f239(a927),f331(a116,x63631)),x63632))
% 204.30/204.31 [6364]P107(f331(f331(f240(a927),x63641),x63642))+~P107(f331(f331(f240(a927),f331(a116,x63641)),x63642))
% 204.30/204.31 [6381]E(f45(a1,x63811,x63812),f2(a1))+E(f331(f331(f23(a1),f45(a1,x63811,x63812)),x63812),f45(a1,x63811,f331(f79(a1),x63812)))
% 204.30/204.31 [6447]E(f331(f35(f935(x64471,a923)),f331(f312(x64471),x64472)),f331(f331(f248(a927),f331(a116,f331(a116,f2(a927)))),f331(f35(x64471),x64472)))+~P107(f331(f61(x64471),x64472))
% 204.30/204.31 [6450]E(x64501,f117(x64502))+E(f331(f331(f168(x64502),x64501),f331(f331(f23(a927),f331(f193(f928(x64502)),x64501)),f78(a927))),f148(x64502,x64501))
% 204.30/204.31 [6472]E(x64721,f117(x64722))+E(f331(f331(f138(x64722),f331(f175(x64722),x64721)),f331(f331(f155(x64722),f331(f145(x64722),x64721)),f117(x64722))),f331(f171(x64722),x64721))
% 204.30/204.31 [6503]~P107(f331(f61(x65031),f37(f935(x65031,a923),x65032)))+P107(f331(f61(f935(x65031,a923)),x65032))
% 204.30/204.31 [6526]P107(f331(f331(f239(a927),f331(f107(a927),x65261)),f331(f107(a927),x65262)))+~P107(f331(f331(f239(a1),x65261),a83))
% 204.30/204.31 [6546]~P107(f331(f331(f240(a1),x65461),x65462))+P107(f331(f331(f239(a1),x65461),f331(f331(f23(a1),x65462),f78(a1))))
% 204.30/204.31 [6547]~P107(f331(f331(f239(a1),x65471),x65472))+P107(f331(f331(f240(a1),x65471),f331(f331(f80(a1),x65472),f78(a1))))
% 204.30/204.31 [6548]~P107(f331(f331(f240(a1),x65481),x65482))+P107(f331(f331(f240(a1),x65481),f331(f331(f80(a1),x65482),f78(a1))))
% 204.30/204.31 [6550]~P107(f331(f331(f239(a1),x65501),x65502))+P107(f331(f331(f239(a927),f331(f107(a927),x65501)),f331(f107(a927),x65502)))
% 204.30/204.31 [6552]~P107(f331(f331(f239(a927),x65521),x65522))+P107(f331(f331(f239(a1),f331(f104(a1),x65521)),f331(f104(a1),x65522)))
% 204.30/204.31 [6553]~P107(f331(f331(f239(a1),x65531),x65532))+P107(f331(f331(f239(a1),f331(f107(a1),x65531)),f331(f107(a1),x65532)))
% 204.30/204.31 [6555]~P107(f331(f331(f240(a927),x65551),x65552))+P107(f331(f331(f240(a1),f331(f104(a1),x65551)),f331(f104(a1),x65552)))
% 204.30/204.31 [6556]~P107(f331(f331(f240(a1),x65561),x65562))+P107(f331(f331(f240(a1),f331(f107(a1),x65561)),f331(f107(a1),x65562)))
% 204.30/204.31 [6577]~P107(f331(f331(f239(a927),x65771),x65772))+~P107(f331(f331(f239(a927),f331(a116,x65772)),x65771))
% 204.30/204.31 [6619]~P107(f331(f331(f239(a927),f331(a116,x66191)),f331(a116,x66192)))+P107(f331(f331(f239(a927),x66191),x66192))
% 204.30/204.31 [6620]~P107(f331(f331(f239(a103),f331(a3,x66201)),f331(a3,x66202)))+P107(f331(f331(f239(a927),x66201),x66202))
% 204.30/204.31 [6621]~P107(f331(f331(f239(a927),f331(a20,x66211)),f331(a20,x66212)))+P107(f331(f331(f239(a103),x66211),x66212))
% 204.30/204.31 [6623]~P107(f331(f331(f240(a927),f331(a116,x66231)),f331(a116,x66232)))+P107(f331(f331(f240(a927),x66231),x66232))
% 204.30/204.31 [6624]~P107(f331(f331(f240(a103),f331(a3,x66241)),f331(a3,x66242)))+P107(f331(f331(f240(a927),x66241),x66242))
% 204.30/204.31 [6625]~P107(f331(f331(f240(a927),f331(a108,x66251)),f331(a108,x66252)))+P107(f331(f331(f240(a1),x66251),x66252))
% 204.30/204.31 [6626]~P107(f331(f331(f240(a927),f331(a20,x66261)),f331(a20,x66262)))+P107(f331(f331(f240(a103),x66261),x66262))
% 204.30/204.31 [6668]~P107(f331(f331(f240(a927),f331(a108,x66682)),f331(a108,x66681)))+P107(f331(f331(f240(a1),f2(a1)),x66681))
% 204.30/204.31 [6699]P107(f331(f331(f239(a1),f2(a1)),f45(a1,x66991,x66992)))+~P107(f331(f331(f240(a1),f2(a1)),x66992))
% 204.30/204.31 [6858]P38(x68581,x68582)+~E(f331(f331(f293(x68581,x68581,x68581),x68582),x68582),f192(f935(f934(x68581,x68581),a923)))
% 204.30/204.31 [6870]~P38(x68701,x68702)+P38(x68701,f331(f331(f293(x68701,x68701,x68701),x68702),x68702))
% 204.30/204.31 [6881]P107(f331(f331(f239(a1),x68811),x68812))+~P107(f331(f331(f240(a1),x68811),f331(f331(f80(a1),x68812),f78(a1))))
% 204.30/204.31 [6882]P107(f331(f331(f240(a1),x68821),x68822))+~P107(f331(f331(f239(a1),x68821),f331(f331(f23(a1),x68822),f78(a1))))
% 204.30/204.31 [6885]P107(f331(f331(f239(a927),x68851),x68852))+~P107(f331(f331(f239(a1),f331(f104(a1),x68851)),f331(f104(a1),x68852)))
% 204.30/204.31 [6886]P107(f331(f331(f239(a1),x68861),x68862))+~P107(f331(f331(f239(a1),f331(f107(a1),x68861)),f331(f107(a1),x68862)))
% 204.30/204.31 [6888]P107(f331(f331(f240(a927),x68881),x68882))+~P107(f331(f331(f240(a1),f331(f104(a1),x68881)),f331(f104(a1),x68882)))
% 204.30/204.31 [6889]P107(f331(f331(f240(a1),x68891),x68892))+~P107(f331(f331(f240(a927),f331(f107(a927),x68891)),f331(f107(a927),x68892)))
% 204.30/204.31 [6890]P107(f331(f331(f240(a1),x68901),x68902))+~P107(f331(f331(f240(a1),f331(f107(a1),x68901)),f331(f107(a1),x68902)))
% 204.30/204.31 [6986]~E(f705(x69862,x69861),f117(x69861))+E(f331(f146(f928(x69861),f928(x69861),f138(x69861),f117(x69861)),x69862),f117(x69861))
% 204.30/204.31 [6987]~E(f710(x69872,x69871),f117(x69871))+E(f331(f146(f928(x69871),f928(x69871),f138(x69871),f117(x69871)),x69872),f117(x69871))
% 204.30/204.31 [6991]~P4(x69911)+E(f331(f146(x69911,x69911,f114(x69911),f192(x69911)),x69912),f37(x69911,f331(f176(x69911),x69912)))
% 204.30/204.31 [6992]~P4(x69921)+E(f331(f146(x69921,x69921,f105(x69921),f246(x69921)),x69922),f38(x69921,f331(f176(x69921),x69922)))
% 204.30/204.31 [7006]E(x70061,f2(a103))+E(f331(f331(f80(a927),f331(a20,f331(f331(f23(a103),x70061),f78(a103)))),f331(a116,x70062)),f331(f331(f80(a927),f331(a20,x70061)),x70062))
% 204.30/204.31 [7055]P107(f331(f331(f240(a1),f331(f331(f23(a1),x70551),x70552)),f2(a1)))+~P107(f331(f331(f240(a1),x70551),x70552))
% 204.30/204.31 [7080]~P109(x70801)+E(f331(f331(f114(f935(x70801,a923)),f331(f331(f313(x70801),x70802),f192(f935(x70801,a923)))),f331(f308(x70801),x70802)),f331(f287(x70801),x70802))
% 204.30/204.31 [7153]~P60(x71531,x71532)+P38(x71531,f331(f266(f934(x71531,x71531)),f331(f261(x71531,x71531,a923),x71532)))
% 204.30/204.31 [7154]~P60(x71541,x71542)+P58(x71541,f331(f266(f934(x71541,x71541)),f331(f261(x71541,x71541,a923),x71542)))
% 204.30/204.31 [7155]~P50(x71551,x71552)+P39(x71551,f331(f266(f934(x71551,x71551)),f331(f261(x71551,x71551,a923),x71552)))
% 204.30/204.31 [7156]~P51(x71561,x71562)+P52(x71561,f331(f266(f934(x71561,x71561)),f331(f261(x71561,x71561,a923),x71562)))
% 204.30/204.31 [7157]E(x71571,f192(f935(x71572,a923)))+~P107(f331(f331(f239(f935(x71572,a923)),x71571),f192(f935(x71572,a923))))
% 204.30/204.31 [7241]~P107(f331(f331(f240(a927),f2(a927)),x72412))+P107(f331(f331(f239(a927),f45(a927,x72411,x72412)),x72412))
% 204.30/204.31 [7242]~P107(f331(f331(f239(a1),f2(a1)),x72421))+P107(f331(f331(f239(a1),f45(a1,x72421,x72422)),x72421))
% 204.30/204.31 [7243]~P107(f331(f331(f240(a927),f2(a927)),x72432))+P107(f331(f331(f240(a927),f45(a927,x72431,x72432)),x72432))
% 204.30/204.31 [7245]~P107(f331(f331(f240(a1),f2(a1)),x72452))+P107(f331(f331(f240(a1),f45(a1,x72451,x72452)),x72452))
% 204.30/204.31 [7323]~P111(x73231)+E(f331(f331(f23(f935(x73231,a923)),f331(f331(f313(x73231),x73232),f192(f935(x73231,a923)))),f331(f286(x73231),x73232)),f331(f331(f313(x73231),x73232),f192(f935(x73231,a923))))
% 204.30/204.31 [7396]~P44(x73961,x73962)+P53(x73961,f246(f935(x73961,a923)),f331(f266(f934(x73961,x73961)),f331(f261(x73961,x73961,a923),x73962)))
% 204.30/204.31 [7397]P107(f331(x73971,x73972))+P107(f331(f331(f333(f935(f934(a927,a927),a923)),f574(x73972,x73971)),a102))
% 204.30/204.31 [7442]E(f331(f331(f138(a927),f143(a927,f331(f306(a927,x74421),x74422))),f331(f331(f155(a927),x74422),f117(a927))),f143(a927,f331(f306(a927,x74421),f331(a116,x74422))))+~P107(f331(f331(f239(a927),x74421),x74422))
% 204.30/204.31 [7590]E(x75901,f2(a927))+~E(f331(f146(a927,a927,f80(a927),x75901),x75902),f2(a927))
% 204.30/204.31 [7615]~P107(f331(f331(f240(a1),f331(f331(f23(a1),x76151),x76152)),f2(a1)))+P107(f331(f331(f240(a1),x76151),x76152))
% 204.30/204.31 [7644]P38(x76441,x76442)+~P38(x76441,f331(f331(f293(x76441,x76441,x76441),x76442),x76442))
% 204.30/204.31 [7670]~P107(f331(f331(f239(a927),f331(a116,x76701)),x76702))+P107(f189(a923,a243,f331(f239(a927),x76701),x76702))
% 204.30/204.31 [7823]P24(a927,a927,f331(f331(f7(a927,a927,a927),f23(a927)),x78231),x78232)+P107(f331(f331(f333(a927),f588(x78231,x78232)),x78232))
% 204.30/204.31 [7879]E(f331(f331(f331(f65(a927,x78791,f80(a927)),f331(f16(a927,x78791),f78(a927))),f2(a927)),x78792),f331(f35(x78791),x78792))+~P107(f331(f61(x78791),x78792))
% 204.30/204.31 [7921]P24(a927,a927,f331(f331(f7(a927,a927,a927),f23(a927)),x79211),x79212)+~P107(f331(f331(f239(a927),x79211),f588(x79211,x79212)))
% 204.30/204.31 [7978]P38(x79781,x79782)+P107(f331(f331(f239(f935(x79781,a923)),f583(x79782,x79781)),f331(f289(x79781,x79781,x79782),f583(x79782,x79781))))
% 204.30/204.31 [7983]P60(x79831,x79832)+~P38(x79831,f331(f266(f934(x79831,x79831)),f331(f261(x79831,x79831,a923),x79832)))
% 204.30/204.31 [7984]P50(x79841,x79842)+~P39(x79841,f331(f266(f934(x79841,x79841)),f331(f261(x79841,x79841,a923),x79842)))
% 204.30/204.31 [7985]P51(x79851,x79852)+~P52(x79851,f331(f266(f934(x79851,x79851)),f331(f261(x79851,x79851,a923),x79852)))
% 204.30/204.31 [8056]P107(f331(f331(f239(a927),f331(a116,x80561)),x80562))+~P107(f189(a923,a243,f331(f239(a927),x80561),x80562))
% 204.30/204.31 [8111]P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x81111),x81112)),f311(a927,a321)))+~P107(f331(f331(f239(a927),x81111),x81112))
% 204.30/204.31 [8206]P44(x82061,x82062)+~P53(x82061,f246(f935(x82061,a923)),f331(f266(f934(x82061,x82061)),f331(f261(x82061,x82061,a923),x82062)))
% 204.30/204.31 [8267]~P107(f331(f141(x82671),x82672))+P107(f331(f141(f935(x82671,a923)),f331(f331(f158(f928(x82671),f935(x82671,a923)),f176(x82671)),f54(x82671,x82672))))
% 204.30/204.31 [8465]~P38(x84651,f331(f290(x84651,x84651),x84652))+P38(x84651,f331(f290(x84651,x84651),f331(f331(f293(x84651,x84651,x84651),x84652),f311(x84651,x84652))))
% 204.30/204.31 [8563]P25(x85631,a927,f831(x85632,x85631),x85632,f331(f306(a927,f2(a927)),f331(f35(x85631),x85632)))+~P107(f331(f61(x85631),x85632))
% 204.30/204.31 [8564]P25(a927,x85641,f832(x85642,x85641),f331(f306(a927,f2(a927)),f331(f35(x85641),x85642)),x85642)+~P107(f331(f61(x85641),x85642))
% 204.30/204.31 [8581]P25(a927,x85811,f833(x85812,x85811),f307(a927,f78(a927),f331(f35(x85811),x85812)),x85812)+~P107(f331(f61(x85811),x85812))
% 204.30/204.31 [8591]P107(f331(f61(f934(x85911,x85911)),f331(f331(f293(x85911,x85911,x85911),x85912),f311(x85911,x85912))))+~P107(f331(f61(f934(x85911,x85911)),x85912))
% 204.30/204.31 [8618]E(x86181,f2(a1))+P107(f331(f49(x86182,x86181),f331(f331(f256(a1,a1),f331(f331(f36(a1),x86182),x86181)),f45(a1,x86182,x86181))))
% 204.30/204.31 [8631]~P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x86311),x86312)),f311(a927,a321)))+P107(f331(f331(f239(a927),x86311),x86312))
% 204.30/204.31 [8649]~P84(x86491)+E(f331(f146(x86491,x86491,f331(f7(x86491,x86491,x86491),f80(x86491)),f2(x86491)),f331(f172(x86491),x86492)),f331(f146(x86491,x86491,f80(x86491),f2(x86491)),x86492))
% 204.30/204.31 [8830]~P109(x88301)+E(f331(f146(f928(x88301),x88301,f331(f7(x88301,f928(x88301),f928(x88301)),f152(x88301,x88301,f5(x88301))),f117(x88301)),x88302),f154(x88301,x88301,f5(x88301),x88302))
% 204.30/204.31 [8941]~P58(x89411,f331(f266(f934(x89411,x89411)),f331(f261(x89411,x89411,a923),x89412)))+P58(x89411,f331(f266(f934(x89411,x89411)),f331(f261(x89411,x89411,a923),f247(x89411,x89411,x89412))))
% 204.30/204.31 [8955]P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x89551),x89552)),f331(f331(f293(a927,a927,a927),a321),f311(a927,a321))))+~P107(f331(f331(f240(a927),x89551),x89552))
% 204.30/204.31 [9001]~P107(f331(f61(f934(x90011,x90011)),f331(f331(f293(x90011,x90011,x90011),x90012),f311(x90011,x90012))))+P107(f331(f61(f934(x90011,x90011)),x90012))
% 204.30/204.31 [9059]~P58(x90591,f331(f266(f934(x90591,x90591)),f331(f261(x90591,x90591,a923),f247(x90591,x90591,x90592))))+P58(x90591,f331(f266(f934(x90591,x90591)),f331(f261(x90591,x90591,a923),x90592)))
% 204.30/204.31 [9260]P58(x92601,x92602)+P107(f331(f331(f333(f934(x92601,x92601)),f331(f331(f256(x92601,x92601),f614(x92602,x92601)),f614(x92602,x92601))),f331(f331(f293(x92601,x92601,x92601),x92602),f311(x92601,x92602))))
% 204.30/204.31 [9261]P58(x92611,x92612)+P107(f331(f331(f333(f934(x92611,x92611)),f331(f331(f256(x92611,x92611),f625(x92612,x92611)),f625(x92612,x92611))),f331(f331(f293(x92611,x92611,x92611),x92612),f311(x92611,x92612))))
% 204.30/204.31 [9379]~P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x93791),x93792)),f331(f331(f293(a927,a927,a927),a321),f311(a927,a321))))+P107(f331(f331(f240(a927),x93791),x93792))
% 204.30/204.31 [5316]~P95(x53161)+E(f331(f331(f80(x53161),f331(f107(x53161),a83)),x53162),x53162)
% 204.30/204.31 [5345]~P97(x53451)+E(f331(f331(f114(x53451),f331(f79(x53451),x53452)),x53452),f246(x53451))
% 204.30/204.31 [5346]~P97(x53461)+E(f331(f331(f105(x53461),f331(f79(x53461),x53462)),x53462),f192(x53461))
% 204.30/204.31 [5347]~P68(x53471)+E(f331(f331(f80(x53471),f331(f79(x53471),x53472)),x53472),f2(x53471))
% 204.30/204.31 [5348]~P76(x53481)+E(f331(f331(f80(x53481),f331(f79(x53481),x53482)),x53482),f2(x53481))
% 204.30/204.31 [5382]~P95(x53821)+E(f331(f331(f81(x53821),f331(f107(x53821),a101)),x53822),f331(f79(x53821),x53822))
% 204.30/204.31 [5545]~P119(x55451)+E(f331(f331(f81(x55451),f331(f79(x55451),f78(x55451))),x55452),f331(f79(x55451),x55452))
% 204.30/204.31 [5590]E(f331(f76(a1),x55901),f78(a1))+~E(f331(f76(a1),f331(f331(f81(a1),x55901),x55902)),f78(a1))
% 204.30/204.31 [5680]~P95(x56801)+E(f331(f331(f80(x56801),f78(x56801)),f331(f107(x56801),x56802)),f331(f107(x56801),f331(f331(f23(a1),x56802),a101)))
% 204.30/204.31 [5733]~P79(x57331)+E(f10(x57331,f331(f331(f313(x57331),x57332),f192(f935(x57331,a923)))),x57332)
% 204.30/204.31 [5734]~P79(x57341)+E(f11(x57341,f331(f331(f313(x57341),x57342),f192(f935(x57341,a923)))),x57342)
% 204.30/204.31 [5735]~P4(x57351)+E(f37(x57351,f331(f331(f313(x57351),x57352),f192(f935(x57351,a923)))),x57352)
% 204.30/204.31 [5736]~P4(x57361)+E(f38(x57361,f331(f331(f313(x57361),x57362),f192(f935(x57361,a923)))),x57362)
% 204.30/204.31 [5737]~P109(x57371)+E(f14(x57371,f331(f331(f313(x57371),x57372),f192(f935(x57371,a923)))),x57372)
% 204.30/204.31 [5738]~P109(x57381)+E(f15(x57381,f331(f331(f313(x57381),x57382),f192(f935(x57381,a923)))),x57382)
% 204.30/204.31 [5760]E(f331(f331(f80(a927),x57601),f331(f331(f23(a927),x57602),x57601)),x57602)+P107(f331(f331(f240(a927),x57602),x57601))
% 204.30/204.31 [5796]E(x57961,f117(x57962))+P107(f331(f331(f240(a927),f2(a927)),f331(f193(f928(x57962)),x57961)))
% 204.30/204.31 [5921]~P109(x59211)+E(f12(x59211,f238(x59211),f331(f331(f313(x59211),x59212),f192(f935(x59211,a923)))),x59212)
% 204.30/204.31 [5922]~P109(x59221)+E(f13(x59221,f237(x59221),f331(f331(f313(x59221),x59222),f192(f935(x59221,a923)))),x59222)
% 204.30/204.31 [5983]E(f331(f331(f23(a927),x59831),f331(f331(f23(a927),x59831),x59832)),x59832)+~P107(f331(f331(f239(a927),x59832),x59831))
% 204.30/204.31 [5984]E(f331(f331(f80(a927),x59841),f331(f331(f23(a927),x59842),x59841)),x59842)+~P107(f331(f331(f239(a927),x59841),x59842))
% 204.30/204.31 [6006]E(f45(a927,f331(f331(f23(a927),x60061),x60062),x60062),f45(a927,x60061,x60062))+P107(f331(f331(f240(a927),x60061),x60062))
% 204.30/204.31 [6017]E(f331(f79(a1),f331(f331(f36(a1),x60171),f331(f79(a1),x60172))),f296(x60171,x60172))+P107(f331(f331(f239(a1),f2(a1)),x60172))
% 204.30/204.31 [6019]~E(x60192,f2(a927))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f248(a927),x60191),x60192)))
% 204.30/204.31 [6073]~P95(x60731)+E(f331(f331(f80(x60731),f331(f79(x60731),f78(x60731))),f331(f107(x60731),x60732)),f331(f107(x60731),f331(f331(f80(a1),x60732),a101)))
% 204.30/204.31 [6075]E(f331(f331(f248(a927),f331(f107(a927),x60751)),x60752),f331(f331(f248(a927),f2(a927)),x60752))+~P107(f331(a197,f331(f107(a1),x60751)))
% 204.30/204.31 [6177]E(f331(f145(a927),f143(a927,f331(f306(a927,x61771),x61772))),x61771)+~P107(f331(f331(f240(a927),x61771),x61772))
% 204.30/204.31 [6194]E(f331(f331(f81(a927),f331(f107(a927),x61941)),f331(f107(a927),x61942)),f331(f107(a927),f331(f331(f81(a1),x61941),x61942)))+P107(f331(f331(f240(a1),x61941),a83))
% 204.30/204.31 [6200]~P128(x62001)+P107(f331(f331(f239(x62001),f2(x62001)),f331(f331(f81(x62001),x62002),x62002)))
% 204.30/204.31 [6212]E(f331(f331(f23(a927),f331(a116,x62121)),x62122),f331(a116,f331(f331(f23(a927),x62121),x62122)))+~P107(f331(f331(f239(a927),x62122),x62121))
% 204.30/204.31 [6215]E(f45(a927,f331(f331(f23(a927),x62151),x62152),x62152),f45(a927,x62151,x62152))+~P107(f331(f331(f239(a927),x62152),x62151))
% 204.30/204.31 [6270]E(f331(f331(f248(a927),f331(a108,x62701)),x62702),f331(a108,f331(f331(f248(a1),x62701),x62702)))+~P107(f331(f331(f239(a1),f2(a1)),x62701))
% 204.30/204.31 [6288]P107(f331(f141(x62881),x62882))+P107(f331(f331(f240(a927),f675(x62882,x62881)),f331(f193(f928(x62881)),x62882)))
% 204.30/204.31 [6289]P107(f331(f141(x62891),x62892))+P107(f331(f331(f240(a927),f679(x62892,x62891)),f331(f193(f928(x62891)),x62892)))
% 204.30/204.31 [6304]~E(x63041,f117(x63042))+~P107(f331(f331(f240(a927),f2(a927)),f331(f193(f928(x63042)),x63041)))
% 204.30/204.31 [6315]E(f148(a927,f143(a927,f331(f306(a927,x63151),x63152))),f331(f331(f23(a927),x63152),f78(a927)))+~P107(f331(f331(f240(a927),x63151),x63152))
% 204.30/204.31 [6318]E(f331(f331(f80(a1),x63181),f331(f104(a1),f331(a116,f385(x63182,x63181)))),x63182)+~P107(f331(f331(f240(a1),x63181),x63182))
% 204.30/204.31 [6325]E(x63251,f2(a927))+E(f331(f331(f81(a927),x63252),f331(f331(f248(a927),x63252),f331(f331(f23(a927),x63251),f78(a927)))),f331(f331(f248(a927),x63252),x63251))
% 204.30/204.31 [6354]E(f331(f331(f81(a927),f331(a108,x63541)),f331(a108,x63542)),f331(a108,f331(f331(f81(a1),x63541),x63542)))+~P107(f331(f331(f239(a1),f2(a1)),x63541))
% 204.30/204.31 [6355]E(f331(f331(f36(a927),f331(a108,x63551)),f331(a108,x63552)),f331(a108,f331(f331(f36(a1),x63551),x63552)))+~P107(f331(f331(f239(a1),f2(a1)),x63551))
% 204.30/204.31 [6369]~P120(x63691)+E(f331(f331(f80(x63691),x63692),x63692),f331(f331(f81(x63691),f331(f331(f80(x63691),f78(x63691)),f78(x63691))),x63692))
% 204.30/204.31 [6390]E(f331(f331(f23(a1),f331(f104(a1),x63901)),f331(f104(a1),x63902)),f331(f104(a1),f331(f331(f23(a927),x63901),x63902)))+~P107(f331(f331(f239(a927),x63902),x63901))
% 204.30/204.31 [6392]E(f331(f331(f256(a1,a1),f331(f107(a1),a101)),f331(f331(f80(a1),x63921),x63922)),f50(x63921,x63922))+~P107(f331(f331(f239(a1),x63922),f2(a1)))
% 204.30/204.31 [6424]E(f183(x64241,x64242),f117(f928(x64241)))+P107(f331(f331(f333(f928(x64241)),f674(x64242,x64241)),f331(f176(f928(x64241)),x64242)))
% 204.30/204.31 [6434]E(f120(a1,f331(f133(a1),x64341),f132(x64342,f331(f331(f80(a1),x64341),f78(a1)))),f132(x64342,x64341))+P107(f331(f331(f240(a1),x64342),x64341))
% 204.30/204.31 [6488]~P107(f331(f331(f291(a927),x64881),x64882))+P107(f331(f331(f291(a927),x64881),f331(f331(f80(a927),x64882),x64881)))
% 204.30/204.31 [6509]E(f331(f331(f155(a1),x65091),f182(f331(f331(f80(a1),x65091),f78(a1)),x65092)),f182(x65091,x65092))+~P107(f331(f331(f239(a1),x65091),x65092))
% 204.30/204.31 [6549]~P107(f331(f331(f240(a927),x65492),x65491))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f23(a927),x65491),x65492)))
% 204.30/204.31 [6582]~P107(f331(f331(f240(a927),x65821),f331(a108,x65822)))+P107(f331(f331(f240(a1),f331(f104(a1),x65821)),x65822))
% 204.30/204.31 [6610]~P109(x66101)+E(f331(f331(f114(f935(x66101,a923)),f331(f286(x66101),x66102)),f331(f331(f313(x66101),x66102),f192(f935(x66101,a923)))),f331(f305(x66101),x66102))
% 204.30/204.31 [6611]~P107(f331(f331(f239(a1),f2(a1)),x66111))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f248(a1),x66111),x66112)))
% 204.30/204.31 [6614]~P107(f331(f331(f240(a927),f2(a927)),x66141))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f248(a927),x66141),x66142)))
% 204.30/204.31 [6641]~E(f331(x66411,f2(a927)),f2(a927))+E(f331(f331(f6(a927,a927),x66411),f307(a927,f331(a116,f2(a927)),x66412)),f331(f331(f6(a927,a927),x66411),f307(a927,f2(a927),x66412)))
% 204.30/204.31 [6707]~P95(x67071)+E(f331(f331(f81(x67071),f331(f331(f80(x67071),f78(x67071)),f78(x67071))),f331(f107(x67071),x67072)),f331(f107(x67071),f331(f331(f80(a1),x67072),x67072)))
% 204.30/204.31 [6722]E(f331(f331(f313(a1),x67221),f307(a1,f331(f331(f80(a1),x67221),f78(a1)),x67222)),f307(a1,x67221,x67222))+P107(f331(f331(f240(a1),x67222),x67221))
% 204.30/204.31 [6723]P107(f331(f331(f240(a927),x67231),f331(a108,x67232)))+~P107(f331(f331(f240(a1),f331(f104(a1),x67231)),x67232))
% 204.30/204.31 [6820]P107(f331(f331(f291(a927),x68201),x68202))+~P107(f331(f331(f291(a927),x68201),f331(f331(f80(a927),x68202),x68201)))
% 204.30/204.31 [6827]E(f331(a108,f331(f331(f36(a1),f331(f107(a1),x68271)),f331(f107(a1),x68272))),f331(f331(f36(a927),f331(f107(a927),x68271)),f331(f107(a927),x68272)))+P107(f331(a197,f331(f107(a1),x68271)))
% 204.30/204.31 [6883]P107(f331(f331(f240(a927),x68831),x68832))+~P107(f331(f331(f240(a927),f2(a927)),f331(f331(f23(a927),x68832),x68831)))
% 204.30/204.31 [6927]P107(f331(f331(f240(a927),f2(a927)),x69271))+~P107(f331(f331(f240(a927),f2(a927)),f331(f331(f81(a927),x69272),x69271)))
% 204.30/204.31 [6928]P107(f331(f331(f240(a927),f2(a927)),x69281))+~P107(f331(f331(f240(a927),f2(a927)),f331(f331(f81(a927),x69281),x69282)))
% 204.30/204.31 [6947]~P107(f331(f331(f239(a1),x69471),f2(a1)))+E(f331(f331(f81(a927),f331(a108,f331(f79(a1),x69471))),f331(a108,f331(f79(a1),x69472))),f331(a108,f331(f331(f81(a1),x69471),x69472)))
% 204.30/204.31 [7003]~E(x70032,f192(f935(x70031,a923)))+P107(f331(f331(f239(f935(x70031,a923)),x70032),f331(f79(f935(x70031,a923)),x70032)))
% 204.30/204.31 [7065]~P95(x70651)+E(f331(f331(f80(x70651),f331(f331(f80(x70651),f2(x70651)),f331(f107(x70651),x70652))),f331(f107(x70651),x70652)),f331(f107(x70651),f331(f331(f80(a1),x70652),x70652)))
% 204.30/204.31 [7119]~P107(f331(f331(f240(a1),x71191),x71192))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x71191),f78(a1))),x71192))
% 204.30/204.31 [7187]E(x71871,f2(a927))+~P107(f331(f331(f239(a1),f331(f104(a1),x71872)),f331(f79(a1),f331(f104(a1),x71871))))
% 204.30/204.31 [7188]E(x71881,f2(a927))+~P107(f331(f331(f239(a1),f331(f104(a1),x71881)),f331(f79(a1),f331(f104(a1),x71882))))
% 204.30/204.31 [7291]E(f331(f331(f256(a1,a1),f331(f107(a1),a101)),f331(f331(f80(a1),x72911),x72912)),f50(x72911,x72912))+~P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),x72911),x72912)))
% 204.30/204.31 [7335]~P26(x73351,x73352)+P38(x73351,f331(f255(f935(f934(x73351,x73351),a923),f935(f934(x73351,x73351),a923)),x73352))
% 204.30/204.31 [7354]~P107(f331(f331(f239(a927),f331(a116,f2(a927))),x73541))+P107(f331(f331(f239(a927),f331(a116,f2(a927))),f331(f331(f248(a927),x73541),x73542)))
% 204.30/204.31 [7532]~P107(f331(f331(f239(a1),x75321),x75322))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x75321),x75321)),f331(f331(f80(a1),x75322),x75322)))
% 204.30/204.31 [7537]~P107(f331(f331(f240(a1),x75371),x75372))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x75371),x75371)),f331(f331(f80(a1),x75372),x75372)))
% 204.30/204.31 [7591]~P107(f331(f331(f240(a927),f2(a927)),x75911))+P107(f331(f331(f240(a927),f331(f331(f23(a927),x75911),f331(a116,x75912))),x75911))
% 204.30/204.31 [7626]P107(f331(f331(f239(a927),f331(a116,f2(a927))),x76261))+~P107(f331(f331(f239(a927),f331(a116,f2(a927))),f331(f331(f81(a927),x76262),x76261)))
% 204.30/204.31 [7627]P107(f331(f331(f239(a927),f331(a116,f2(a927))),x76271))+~P107(f331(f331(f239(a927),f331(a116,f2(a927))),f331(f331(f81(a927),x76271),x76272)))
% 204.30/204.31 [7631]P107(f331(f331(f239(a927),f331(f331(f168(a927),x76311),x76312)),f331(f169(a927),x76311)))+~P107(f331(f331(f240(a927),x76312),f331(f193(f928(a927)),x76311)))
% 204.30/204.31 [7669]P107(f331(f331(f240(a1),x76691),x76692))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x76691),f78(a1))),x76692))
% 204.30/204.31 [7712]P107(f331(f61(x77121),f246(f935(x77121,a923))))+~P107(f331(f61(f935(x77122,x77121)),f246(f935(f935(x77122,x77121),a923))))
% 204.30/204.31 [7713]P107(f331(f61(x77131),f246(f935(x77131,a923))))+~P107(f331(f61(f933(x77132,x77131)),f246(f935(f933(x77132,x77131),a923))))
% 204.30/204.31 [7714]P107(f331(f61(x77141),f246(f935(x77141,a923))))+~P107(f331(f61(f933(x77141,x77142)),f246(f935(f933(x77141,x77142),a923))))
% 204.30/204.31 [7753]E(x77531,f192(f935(x77532,a923)))+~P107(f331(f331(f239(f935(x77532,a923)),x77531),f331(f79(f935(x77532,a923)),x77531)))
% 204.30/204.31 [7889]E(f331(f146(f928(x78891),f928(x78891),f138(x78891),f117(x78891)),x78892),f117(x78891))+P107(f331(f331(f333(f928(x78891)),f705(x78892,x78891)),f331(f176(f928(x78891)),x78892)))
% 204.30/204.31 [7890]E(f331(f146(f928(x78901),f928(x78901),f138(x78901),f117(x78901)),x78902),f117(x78901))+P107(f331(f331(f333(f928(x78901)),f710(x78902,x78901)),f331(f176(f928(x78901)),x78902)))
% 204.30/204.31 [8129]P107(f331(f331(f239(a1),x81291),x81292))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x81291),x81291)),f331(f331(f80(a1),x81292),x81292)))
% 204.30/204.31 [8134]P107(f331(f331(f240(a1),x81341),x81342))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),x81341),x81341)),f331(f331(f80(a1),x81342),x81342)))
% 204.30/204.31 [8226]~P120(x82261)+E(f331(f331(f81(x82261),f331(f331(f80(x82261),f78(x82261)),f78(x82261))),f331(f331(f6(a927,x82261),f104(x82261)),f307(a927,f78(a927),x82262))),f331(f331(f81(x82261),f331(f104(x82261),x82262)),f331(f331(f80(x82261),f331(f104(x82261),x82262)),f78(x82261))))
% 204.30/204.31 [8281]P107(f331(f331(f333(a927),x82811),x82812))+~P107(f331(f331(f333(a1),f331(f104(a1),x82811)),f331(f314(a927,a1,f104(a1)),x82812)))
% 204.30/204.31 [8437]~P107(f331(f61(x84371),x84372))+E(f331(f314(a927,x84371,f463(x84372,x84371)),f331(f266(a927),f331(f331(f7(a927,a927,a923),f240(a927)),f464(x84372,x84371)))),x84372)
% 204.30/204.31 [8724]P54(x87241,x87242)+P107(f331(f331(f333(f934(x87241,x87241)),f331(f331(f256(x87241,x87241),f513(x87242,x87241)),f513(x87242,x87241))),x87242))
% 204.30/204.31 [8725]P39(x87251,x87252)+P107(f331(f331(f333(f934(x87251,x87251)),f331(f331(f256(x87251,x87251),f797(x87252,x87251)),f800(x87252,x87251))),x87252))
% 204.30/204.31 [8726]P39(x87261,x87262)+P107(f331(f331(f333(f934(x87261,x87261)),f331(f331(f256(x87261,x87261),f800(x87262,x87261)),f801(x87262,x87261))),x87262))
% 204.30/204.31 [8727]P40(x87271,x87272)+P107(f331(f331(f333(f934(x87271,x87271)),f331(f331(f256(x87271,x87271),f715(x87272,x87271)),f714(x87272,x87271))),x87272))
% 204.30/204.31 [8728]P40(x87281,x87282)+P107(f331(f331(f333(f934(x87281,x87281)),f331(f331(f256(x87281,x87281),f714(x87282,x87281)),f715(x87282,x87281))),x87282))
% 204.30/204.31 [8729]P52(x87291,x87292)+P107(f331(f331(f333(f934(x87291,x87291)),f331(f331(f256(x87291,x87291),f811(x87292,x87291)),f812(x87292,x87291))),x87292))
% 204.30/204.31 [8873]~P95(x88731)+E(f331(f331(f23(x88731),f78(x88731)),f331(f107(x88731),x88732)),f331(f107(x88731),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f79(a1),x88732))))
% 204.30/204.31 [8998]~P107(f331(f331(f240(f935(a927,a923)),x89981),x89982))+P107(f331(f331(f240(f935(a1,a923)),f331(f314(a927,a1,f104(a1)),x89981)),f331(f314(a927,a1,f104(a1)),x89982)))
% 204.30/204.31 [9032]~P107(f331(f331(f240(a1),x90321),x90322))+P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x90321),x90321)),a101)),f331(f331(f80(a1),x90322),x90322)))
% 204.30/204.31 [9034]~P107(f331(f331(f240(a1),x90341),x90342))+P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x90341),x90341)),a101)),f331(f331(f80(a1),x90342),x90342)))
% 204.30/204.31 [9107]~P107(f331(f331(f333(a927),x91071),f331(f176(a927),x91072)))+P107(f331(f331(f239(a927),x91071),f331(f146(a927,a927,f80(a927),f2(a927)),x91072)))
% 204.30/204.31 [9198]P47(x91981,x91982)+~P107(f331(f331(f333(f934(x91981,x91981)),f331(f331(f256(x91981,x91981),f506(x91982,x91981)),f506(x91982,x91981))),x91982))
% 204.30/204.31 [9199]P39(x91991,x91992)+~P107(f331(f331(f333(f934(x91991,x91991)),f331(f331(f256(x91991,x91991),f797(x91992,x91991)),f801(x91992,x91991))),x91992))
% 204.30/204.31 [9200]P52(x92001,x92002)+~P107(f331(f331(f333(f934(x92001,x92001)),f331(f331(f256(x92001,x92001),f812(x92002,x92001)),f811(x92002,x92001))),x92002))
% 204.30/204.31 [9342]~P107(f331(f331(f239(f935(a1,a923)),f331(f314(a927,a1,f104(a1)),x93421)),f331(f314(a927,a1,f104(a1)),x93422)))+P107(f331(f331(f239(f935(a927,a923)),x93421),x93422))
% 204.30/204.31 [9343]~P107(f331(f331(f240(f935(a1,a923)),f331(f314(a927,a1,f104(a1)),x93431)),f331(f314(a927,a1,f104(a1)),x93432)))+P107(f331(f331(f240(f935(a927,a923)),x93431),x93432))
% 204.30/204.31 [9430]P107(f331(f331(f240(a1),x94301),x94302))+~P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x94301),x94301)),a101)),f331(f331(f80(a1),x94302),x94302)))
% 204.30/204.31 [9432]P107(f331(f331(f240(a1),x94321),x94322))+~P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x94321),x94321)),a101)),f331(f331(f80(a1),x94322),x94322)))
% 204.30/204.31 [10317]~P105(x103171)+E(f120(f928(x103171),f331(f133(f928(x103171)),f117(x103171)),f331(f331(f331(f100(f929(f928(x103171))),f331(f331(f240(a1),f2(a1)),x103172)),f331(f122(f934(x103171,f928(x103171)),f928(x103171),f135(x103171,f928(x103171),f136(x103171,f331(f331(f23(a1),x103172),f78(a1))),f136(f928(x103171),f331(f331(f23(a1),x103172),f78(a1))))),f331(f261(x103171,f928(x103171),f929(f928(x103171))),f331(f331(f8(f935(f928(x103171),f928(x103171)),f935(f928(x103171),f929(f928(x103171))),x103171),f331(f8(f928(x103171),f929(f928(x103171)),f928(x103171)),f133(f928(x103171)))),f155(x103171))))),f119(f928(x103171)))),f136(f928(x103171),x103172))
% 204.30/204.31 [10340]~P107(f331(f61(x103401),x103402))+E(f331(f193(f928(x103401)),f90(f928(x103401),f331(f331(f18(f928(x103401),a923,a923),f331(f331(f8(a923,f935(a923,a923),f928(x103401)),a329),f331(f331(f7(f928(x103401),f935(x103401,a923),a923),f331(f331(f8(f935(x103401,a923),f935(f935(x103401,a923),a923),f928(x103401)),a328),f176(x103401))),x103402))),f141(x103401)))),f219(x103401,x103402))
% 204.30/204.31 [10515]~P23(a924,x105151,f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),a328),x105152),f198(x105152))),f192(f935(f926(a924),a923))))+P23(a924,x105151,f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),f331(f331(f8(f935(a924,f935(a924,a923)),f935(a924,a923),a924),f331(f8(f935(a924,a923),a923,a924),f88(a924))),f331(f331(f8(f935(a924,a923),f935(a924,f935(a924,a923)),a924),f331(f7(a924,f935(a924,a923),f935(a924,a923)),f331(f331(f8(f935(a924,f935(a923,a923)),f935(f935(a924,a923),f935(a924,a923)),a924),f18(a924,a923,a923)),f331(f331(f8(f935(a924,a923),f935(a924,f935(a923,a923)),a924),f331(f8(a923,f935(a923,a923),a924),a334)),f198(x105152))))),a328))),x105152),a328)),f192(f935(f926(a924),a923))))
% 204.30/204.31 [6314]E(f331(f331(f80(a927),f331(f331(f23(a927),x63141),x63142)),x63142),x63141)+~P107(f331(f331(f239(a927),x63142),x63141))
% 204.30/204.31 [6386]E(f331(f331(f36(a927),f331(f331(f81(a927),x63861),x63862)),x63862),x63861)+~P107(f331(f331(f240(a927),f2(a927)),x63862))
% 204.30/204.31 [6387]E(f331(f331(f36(a927),f331(f331(f81(a927),x63871),x63872)),x63871),x63872)+~P107(f331(f331(f240(a927),f2(a927)),x63871))
% 204.30/204.31 [6391]~P72(x63911)+E(f331(f331(f6(a927,x63911),f331(f168(x63911),x63912)),f331(f306(a927,f2(a927)),f331(f193(f928(x63911)),x63912))),f331(f169(x63911),x63912))
% 204.30/204.31 [6501]E(f45(a927,f331(a116,f331(f331(f81(a927),x65011),x65012)),x65011),f78(a927))+~P107(f331(f331(f240(a927),f78(a927)),x65011))
% 204.30/204.31 [6507]E(f331(a116,f331(f331(f80(a927),f331(f107(a927),x65071)),x65072)),f331(f331(f80(a927),f78(a927)),x65072))+~P107(f331(a197,f331(f107(a1),x65071)))
% 204.30/204.31 [6537]E(f331(a108,f331(f331(f248(a1),f331(f107(a1),x65371)),x65372)),f331(f331(f248(a927),f331(f107(a927),x65371)),x65372))+P107(f331(a197,f331(f107(a1),x65371)))
% 204.30/204.31 [6777]E(f331(f331(f23(a927),x67771),f331(f107(a927),f331(f331(f80(a1),x67772),a101))),f331(f331(f23(a927),f331(a116,x67771)),f331(f107(a927),x67772)))+~P107(f331(f331(f240(a1),a83),x67772))
% 204.30/204.31 [6857]E(x68571,f2(a927))+E(f331(a116,f331(f331(f80(a927),f331(f331(f23(a927),x68571),f78(a927))),x68572)),f331(f331(f80(a927),x68571),x68572))
% 204.30/204.31 [6896]E(x68961,f2(a1))+P107(f331(f331(f240(a1),f2(a1)),f331(f331(f248(a1),f331(f76(a1),x68961)),x68962)))
% 204.30/204.31 [6911]~E(x69112,f2(a927))+P107(f331(f331(f240(a1),f2(a1)),f331(f331(f248(a1),f331(f76(a1),x69111)),x69112)))
% 204.30/204.31 [6950]E(x69501,f2(a927))+E(f331(f331(f80(a927),x69502),f331(f331(f81(a927),f331(f331(f23(a927),x69501),f78(a927))),x69502)),f331(f331(f81(a927),x69501),x69502))
% 204.30/204.31 [6996]~P107(f331(f331(f239(a1),x69961),x69962))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x69961),a101)),x69962))
% 204.30/204.31 [7122]E(f331(f331(f155(a927),x71221),f143(a927,f331(f306(a927,f331(a116,x71221)),x71222))),f143(a927,f331(f306(a927,x71221),x71222)))+~P107(f331(f331(f240(a927),x71221),x71222))
% 204.30/204.31 [7326]E(x73261,x73262)+~E(f331(f331(f23(a1),f331(f331(f80(a1),x73261),x73261)),a101),f331(f331(f23(a1),f331(f331(f80(a1),x73262),x73262)),a101))
% 204.30/204.31 [7329]E(x73291,f117(x73292))+E(f270(x73292,f331(f331(f158(x73292,f934(a103,x73292)),f331(f256(a103,x73292),f78(a103))),x73291)),f279(x73292,x73291))
% 204.30/204.31 [7562]P107(f331(f331(f239(a1),x75621),x75622))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),x75621),a101)),x75622))
% 204.30/204.31 [8033]~P107(f331(f331(f240(a927),x80331),x80332))+P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x80331),x80332)),a244))
% 204.30/204.31 [8255]~P107(f331(f331(f240(a103),f2(a103)),x82551))+P107(f331(f331(f240(a103),f331(f255(a103,f934(a103,a103)),f331(f271(x82551),x82552))),x82551))
% 204.30/204.31 [8518]~P39(x85181,x85182)+P39(x85181,f331(f331(f114(f935(f934(x85181,x85181),a923)),x85182),f311(x85181,f192(f935(f934(x85181,x85181),a923)))))
% 204.30/204.31 [8519]~P40(x85191,x85192)+P40(x85191,f331(f331(f114(f935(f934(x85191,x85191),a923)),x85192),f311(x85191,f192(f935(f934(x85191,x85191),a923)))))
% 204.30/204.31 [8567]~P88(x85671)+P107(f331(f331(f239(x85671),f331(f76(x85671),f331(f169(x85671),x85672))),f331(f169(x85671),f331(f331(f158(x85671,x85671),f76(x85671)),x85672))))
% 204.30/204.31 [8593]P107(f331(f331(f240(a927),x85931),x85932))+~P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x85931),x85932)),a244))
% 204.30/204.31 [8751]E(f331(f331(f256(x87511,x87511),f638(x87512,x87511)),f638(x87512,x87511)),x87512)+~P107(f331(f331(f333(f934(x87511,x87511)),x87512),f311(x87511,f192(f935(f934(x87511,x87511),a923)))))
% 204.30/204.31 [8795]E(f331(f306(a927,x87951),f331(f331(f80(a927),x87951),f331(f35(a927),x87952))),x87952)+~P107(f331(f331(f239(f935(a927,a923)),x87952),f331(f306(a927,x87951),f331(f331(f80(a927),x87951),f331(f35(a927),x87952)))))
% 204.30/204.31 [9025]P40(x90251,x90252)+~P40(x90251,f331(f331(f114(f935(f934(x90251,x90251),a923)),x90252),f311(x90251,f192(f935(f934(x90251,x90251),a923)))))
% 204.30/204.31 [9151]E(f331(f331(f36(a1),f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x91511),x91511)),a101))),f331(f107(a1),f331(f331(f80(a1),x91512),x91512))),f331(f331(f36(a1),f331(f107(a1),x91511)),f331(f107(a1),x91512)))+~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x91512)))
% 204.30/204.31 [9244]~P39(x92441,x92442)+P107(f331(f331(f239(f935(f934(x92441,x92441),a923)),f331(f331(f293(x92441,x92441,x92441),x92442),x92442)),x92442))
% 204.30/204.31 [9271]E(f181(f928(x92711),f331(f331(f8(a923,a923,f928(x92711)),a326),f331(f331(f7(f928(x92711),f928(x92711),a923),a328),f117(x92711))),x92712),f183(x92711,f183(x92711,x92712)))+~P12(a927,f331(f172(a927),f331(f331(f158(f928(x92711),a927),f193(f928(x92711))),x92712)))
% 204.30/204.31 [9274]E(f331(f331(f36(a1),f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x92741),x92741)),a101))),f331(f107(a1),f331(f331(f80(a1),x92742),x92742))),f331(f331(f36(a1),f331(f331(f80(a1),f331(f107(a1),x92741)),f78(a1))),f331(f107(a1),x92742)))+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x92742)))
% 204.30/204.31 [10126]P107(f331(a197,x101262))+E(f331(f331(f86(a1,a927),f331(f331(f23(a1),x101261),x101262)),f331(f331(f18(a1,a927,a927),f331(f331(f7(a1,a927,f935(a927,a927)),f331(f331(f8(a923,f935(a927,f935(a927,a927)),a1),f100(a927)),a197)),f2(a927))),a108)),f331(f331(f23(a927),f331(a108,x101261)),f331(a108,x101262)))
% 204.30/204.31 [10134]E(f331(f331(f86(a1,a927),f331(f107(a1),f331(f331(f80(a1),x101341),f331(f79(a1),x101342)))),f331(f331(f18(a1,a927,a927),f331(f331(f7(a1,a927,f935(a927,a927)),f331(f331(f8(a923,f935(a927,f935(a927,a927)),a1),f100(a927)),a197)),f2(a927))),a108)),f331(f331(f23(a927),f331(f107(a927),x101341)),f331(f107(a927),x101342)))+P107(f331(f331(f240(a1),x101342),a83))
% 204.30/204.31 [10135]~P26(x101351,x101352)+P107(f331(f331(f239(f935(f934(x101351,x101351),a923)),f331(f331(f293(x101351,x101351,x101351),f331(f255(f935(f934(x101351,x101351),a923),f935(f934(x101351,x101351),a923)),x101352)),f331(f260(f935(f934(x101351,x101351),a923),f935(f934(x101351,x101351),a923)),x101352))),f331(f255(f935(f934(x101351,x101351),a923),f935(f934(x101351,x101351),a923)),x101352)))
% 204.30/204.31 [10192]~E(f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,f935(a927,a923),a923),f333(a927)),x101921))),f331(f331(f7(a927,a927,a923),f240(a927)),f331(a116,x101922))))),f2(a927))+~P107(f331(f331(f333(a927),f2(a927)),x101921))
% 204.30/204.31 [10247]E(f45(a1,f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x102471),x102471)),a101)),f331(f107(a1),f331(f331(f80(a1),x102472),x102472))),f331(f331(f80(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f107(a1),x102471),f331(f107(a1),x102472)))),f78(a1)))+~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x102472)))
% 204.30/204.31 [10256]E(f45(a1,f331(f107(a1),f331(f331(f23(a1),f331(f331(f80(a1),x102561),x102561)),a101)),f331(f107(a1),f331(f331(f80(a1),x102562),x102562))),f331(f331(f23(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f331(f80(a1),f331(f107(a1),x102561)),f78(a1)),f331(f107(a1),x102562)))),f78(a1)))+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x102562)))
% 204.30/204.31 [10306]~P4(x103061)+E(f37(x103061,f331(f266(x103061),f331(f331(f8(f935(x103061,a923),a923,x103061),f88(x103061)),f331(f331(f8(f935(x103061,a923),f935(x103061,a923),x103061),f331(f18(x103061,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103061),a334),f331(f331(f7(x103061,f935(x103061,a923),a923),f333(x103061)),x103062)))),f239(x103061))))),f38(x103061,x103062))
% 204.30/204.31 [10333]~P38(x103331,x103332)+P60(x103331,f331(f331(f7(x103331,f935(f934(x103331,x103331),a923),f935(x103331,a923)),f331(f331(f8(f935(x103331,f935(f935(f934(x103331,x103331),a923),a923)),f935(f935(f934(x103331,x103331),a923),f935(x103331,a923)),x103331),f7(x103331,f935(f934(x103331,x103331),a923),a923)),f331(f331(f8(f935(x103331,f934(x103331,x103331)),f935(x103331,f935(f935(f934(x103331,x103331),a923),a923)),x103331),f331(f8(f934(x103331,x103331),f935(f935(f934(x103331,x103331),a923),a923),x103331),f333(f934(x103331,x103331)))),f256(x103331,x103331)))),x103332))
% 204.30/204.31 [10334]~P7(x103341,f246(f935(x103341,a923)),x103342)+P6(x103341,f331(f331(f7(x103341,f935(f934(x103341,x103341),a923),f935(x103341,a923)),f331(f331(f8(f935(x103341,f935(f935(f934(x103341,x103341),a923),a923)),f935(f935(f934(x103341,x103341),a923),f935(x103341,a923)),x103341),f7(x103341,f935(f934(x103341,x103341),a923),a923)),f331(f331(f8(f935(x103341,f934(x103341,x103341)),f935(x103341,f935(f935(f934(x103341,x103341),a923),a923)),x103341),f331(f8(f934(x103341,x103341),f935(f935(f934(x103341,x103341),a923),a923),x103341),f333(f934(x103341,x103341)))),f256(x103341,x103341)))),x103342))
% 204.30/204.31 [10380]P38(x103801,x103802)+~P60(x103801,f331(f331(f7(x103801,f935(f934(x103801,x103801),a923),f935(x103801,a923)),f331(f331(f8(f935(x103801,f935(f935(f934(x103801,x103801),a923),a923)),f935(f935(f934(x103801,x103801),a923),f935(x103801,a923)),x103801),f7(x103801,f935(f934(x103801,x103801),a923),a923)),f331(f331(f8(f935(x103801,f934(x103801,x103801)),f935(x103801,f935(f935(f934(x103801,x103801),a923),a923)),x103801),f331(f8(f934(x103801,x103801),f935(f935(f934(x103801,x103801),a923),a923),x103801),f333(f934(x103801,x103801)))),f256(x103801,x103801)))),x103802))
% 204.30/204.31 [10381]P7(x103811,f246(f935(x103811,a923)),x103812)+~P6(x103811,f331(f331(f7(x103811,f935(f934(x103811,x103811),a923),f935(x103811,a923)),f331(f331(f8(f935(x103811,f935(f935(f934(x103811,x103811),a923),a923)),f935(f935(f934(x103811,x103811),a923),f935(x103811,a923)),x103811),f7(x103811,f935(f934(x103811,x103811),a923),a923)),f331(f331(f8(f935(x103811,f934(x103811,x103811)),f935(x103811,f935(f935(f934(x103811,x103811),a923),a923)),x103811),f331(f8(f934(x103811,x103811),f935(f935(f934(x103811,x103811),a923),a923),x103811),f333(f934(x103811,x103811)))),f256(x103811,x103811)))),x103812))
% 204.30/204.31 [7512]E(f331(f331(f80(a927),f331(f107(a927),f331(f331(f23(a1),x75121),a101))),x75122),f331(a116,f331(f331(f80(a927),f331(f107(a927),x75121)),x75122)))+P107(f331(a197,f331(f107(a1),x75121)))
% 204.30/204.31 [7948]~P95(x79481)+E(f331(f331(f80(x79481),f331(f331(f80(x79481),f78(x79481)),f331(f107(x79481),x79482))),f331(f107(x79481),x79482)),f331(f107(x79481),f331(f331(f23(a1),f331(f331(f80(a1),x79482),x79482)),a101)))
% 204.30/204.31 [8595]~P107(f331(f331(f239(a1),x85951),x85952))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x85951),x85951)),f331(f331(f23(a1),f331(f331(f80(a1),x85952),x85952)),a101)))
% 204.30/204.31 [8597]~P107(f331(f331(f239(a1),x85971),x85972))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x85971),x85971)),f331(f331(f23(a1),f331(f331(f80(a1),x85972),x85972)),a101)))
% 204.30/204.31 [9036]P107(f331(f331(f239(a1),x90361),x90362))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x90361),x90361)),f331(f331(f23(a1),f331(f331(f80(a1),x90362),x90362)),a101)))
% 204.30/204.31 [9038]P107(f331(f331(f239(a1),x90381),x90382))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),x90381),x90381)),f331(f331(f23(a1),f331(f331(f80(a1),x90382),x90382)),a101)))
% 204.30/204.31 [9331]~P107(f331(f331(f239(a1),x93311),x93312))+P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93311),x93311)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),x93312),x93312)),a101)))
% 204.30/204.31 [9333]~P107(f331(f331(f240(a1),x93331),x93332))+P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x93331),x93331)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),x93332),x93332)),a101)))
% 204.30/204.31 [9607]P107(f331(f331(f239(a1),x96071),x96072))+~P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),x96071),x96071)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),x96072),x96072)),a101)))
% 204.30/204.31 [9609]P107(f331(f331(f240(a1),x96091),x96092))+~P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),x96091),x96091)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),x96092),x96092)),a101)))
% 204.30/204.31 [9642]~P107(f331(f61(x96421),x96422))+P107(f331(f61(f935(x96421,a923)),f331(f266(f935(x96421,a923)),f331(f331(f7(f935(x96421,a923),f935(x96421,a923),a923),f239(f935(x96421,a923))),x96422))))
% 204.30/204.31 [9692]~E(f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),x96921),f192(f935(f934(a927,a927),a923)))),f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),x96922),f192(f935(f934(a927,a927),a923)))))+P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),x96921),x96922)),a112))
% 204.30/204.31 [9787]E(f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),x97871),f192(f935(f934(a927,a927),a923)))),f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),x97872),f192(f935(f934(a927,a927),a923)))))+~P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),x97871),x97872)),a112))
% 204.30/204.31 [9823]P107(f331(f331(f239(a1),f2(a1)),f645(x98231,x98232)))+E(f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x98231)),f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x98232)))
% 204.30/204.31 [10316]~P4(x103161)+E(f38(x103161,f331(f266(x103161),f331(f331(f8(f935(x103161,a923),a923,x103161),f88(x103161)),f331(f331(f8(f935(x103161,a923),f935(x103161,a923),x103161),f331(f18(x103161,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103161),a334),f331(f331(f7(x103161,f935(x103161,a923),a923),f333(x103161)),x103162)))),f331(f7(x103161,x103161,a923),f239(x103161)))))),f37(x103161,x103162))
% 204.30/204.31 [10339]P107(f331(f331(f333(a927),f2(a927)),x103391))+E(f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),a927),f333(a927)),a116)),x103391))),f331(f331(f7(a927,a927,a923),f240(a927)),x103392)))),f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,f935(a927,a923),a923),f333(a927)),x103391))),f331(f331(f7(a927,a927,a923),f240(a927)),f331(a116,x103392))))))
% 204.30/204.31 [10401]P107(f331(f331(f291(a927),x104011),x104012))+~P107(f331(f331(f333(a927),x104012),f298(a927,f331(f331(f18(a927,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),a927),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),a927),f331(f8(a923,f935(a923,a923),a927),a329)),f291(a927)))),f331(f331(f8(f935(a927,a923),f935(a927,a923),a927),f331(f8(a923,a923,a927),a326)),f331(f7(a927,a927,a923),f291(a927)))),x104011)))
% 204.30/204.31 [10402]P107(f331(f331(f291(a927),x104021),x104022))+~P107(f331(f331(f333(a927),x104021),f302(a927,f331(f331(f18(a927,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),a927),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),a927),f331(f8(a923,f935(a923,a923),a927),a329)),f291(a927)))),f331(f331(f8(f935(a927,a923),f935(a927,a923),a927),f331(f8(a923,a923,a927),a326)),f331(f7(a927,a927,a923),f291(a927)))),x104022)))
% 204.30/204.31 [10403]~P107(f331(f331(f291(a927),x104031),x104032))+~P107(f331(f331(f333(a927),x104032),f302(a927,f331(f331(f18(a927,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),a927),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),a927),f331(f8(a923,f935(a923,a923),a927),a329)),f291(a927)))),f331(f331(f8(f935(a927,a923),f935(a927,a923),a927),f331(f8(a923,a923,a927),a326)),f331(f7(a927,a927,a923),f291(a927)))),x104031)))
% 204.30/204.31 [10404]~P107(f331(f331(f291(a927),x104041),x104042))+~P107(f331(f331(f333(a927),x104041),f298(a927,f331(f331(f18(a927,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),a927),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),a927),f331(f8(a923,f935(a923,a923),a927),a329)),f291(a927)))),f331(f331(f8(f935(a927,a923),f935(a927,a923),a927),f331(f8(a923,a923,a927),a326)),f331(f7(a927,a927,a923),f291(a927)))),x104042)))
% 204.30/204.31 [7817]~P95(x78171)+E(f331(f331(f81(x78171),x78172),f331(f107(x78171),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),x78172)
% 204.30/204.31 [8081]~P95(x80811)+E(f331(f331(f80(x80811),f331(f107(x80811),x80812)),f78(x80811)),f331(f107(x80811),f331(f331(f80(a1),x80812),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))
% 204.30/204.31 [8224]P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x82242)))+E(f331(f331(f248(a1),x82241),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),x82242),x82242)),a101))),f78(a1))
% 204.30/204.31 [9667]~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x96672)))+E(f331(f331(f248(a1),x96671),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),x96672),x96672)),a101))),f331(f331(f86(a1,a1),f331(f331(f248(a1),x96671),f331(f107(a927),x96672))),f331(f331(f18(a1,a1,a1),f331(f331(f8(a1,f935(a1,a1),a1),f81(a1)),f331(f81(a1),x96671))),f5(a1))))
% 204.30/204.31 [10044]~P107(f331(f331(f239(a927),f659(x100442,x100441)),f331(x100441,f659(x100442,x100441))))+P107(f331(f61(a927),f331(f266(a927),f331(f331(f7(a927,a927,a923),f331(f331(f8(a927,f935(a927,a923),a927),f239(a927)),x100441)),x100442))))
% 204.30/204.31 [10182]~P107(f331(f331(f239(a927),f331(f107(a927),x101821)),f331(a116,x101822)))+P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x101821),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),f239(a927)),a108)),x101822))))
% 204.30/204.31 [10183]~P107(f331(f331(f240(a927),f331(f107(a927),x101831)),f331(a116,x101832)))+P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x101831),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),f240(a927)),a108)),x101832))))
% 204.30/204.31 [10231]P107(f331(f331(f239(a927),f331(f107(a927),x102311)),f331(a116,x102312)))+~P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x102311),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),f239(a927)),a108)),x102312))))
% 204.30/204.31 [10232]P107(f331(f331(f240(a927),f331(f107(a927),x102321)),f331(a116,x102322)))+~P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x102321),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),f240(a927)),a108)),x102322))))
% 204.30/204.31 [10262]~P107(f331(f331(f239(a927),f331(a116,x102622)),f331(f107(a927),x102621)))+P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x102621),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f8(a927,a923,a1),f331(f239(a927),x102622)),a108)))))
% 204.30/204.31 [10263]~P107(f331(f331(f240(a927),f331(a116,x102632)),f331(f107(a927),x102631)))+P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x102631),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f8(a927,a923,a1),f331(f240(a927),x102632)),a108)))))
% 204.30/204.31 [10304]P107(f331(f331(f239(a927),f331(a116,x103041)),f331(f107(a927),x103042)))+~P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x103042),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f8(a927,a923,a1),f331(f239(a927),x103041)),a108)))))
% 204.30/204.31 [10305]P107(f331(f331(f240(a927),f331(a116,x103051)),f331(f107(a927),x103052)))+~P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x103052),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f8(a927,a923,a1),f331(f240(a927),x103051)),a108)))))
% 204.30/204.31 [10391]~P107(f331(f331(f333(a927),f2(a927)),x103911))+E(f331(a116,f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,f935(a927,a923),a923),f331(f331(f8(a927,f935(f935(a927,a923),a923),a927),f333(a927)),a116)),x103911))),f331(f331(f7(a927,a927,a923),f240(a927)),x103912))))),f331(f35(a927),f331(f266(a927),f331(f331(f18(a927,a923,a923),f331(f331(f8(a923,f935(a923,a923),a927),a329),f331(f331(f7(a927,f935(a927,a923),a923),f333(a927)),x103911))),f331(f331(f7(a927,a927,a923),f240(a927)),f331(a116,x103912))))))
% 204.30/204.31 [8778]~P95(x87781)+E(f331(f331(f81(x87781),f331(f107(x87781),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),x87782),x87782)
% 204.30/204.31 [8839]~P95(x88391)+E(f331(f331(f80(x88391),f78(x88391)),f331(f107(x88391),x88392)),f331(f107(x88391),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),x88392)))
% 204.30/204.31 [8901]~P95(x89011)+E(f331(f331(f23(x89011),f331(f107(x89011),x89012)),f78(x89011)),f331(f107(x89011),f331(f331(f80(a1),x89012),f331(f79(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [9055]~P107(f331(f331(f240(a927),f331(f107(a927),a83)),x90552))+E(f331(f331(f23(a927),x90551),f331(f331(f23(a927),x90552),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f23(a927),f331(a116,x90551)),x90552))
% 204.30/204.31 [9710]~P120(x97101)+E(f331(f331(f81(x97101),x97102),x97102),f331(f331(f248(x97101),x97102),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [9711]~P83(x97111)+E(f331(f331(f248(x97111),x97112),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f81(x97111),x97112),x97112))
% 204.30/204.31 [9713]~P95(x97131)+E(f331(f331(f81(x97131),x97132),f331(f107(x97131),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f80(x97131),x97132),x97132))
% 204.30/204.31 [9962]~P114(x99621)+E(f331(f331(f248(x99621),f331(f76(x99621),x99622)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f248(x99621),x99622),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [9963]~P144(x99631)+E(f331(f331(f248(x99631),f331(f79(x99631),x99632)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f248(x99631),x99632),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [9959]~P95(x99591)+E(f331(f331(f81(x99591),f331(f107(x99591),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99592),f331(f331(f80(x99591),x99592),x99592))
% 204.30/204.31 [10077]~P114(x100771)+E(f331(f76(x100771),f331(f331(f248(x100771),x100772),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x100771),x100772),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [10142]~P114(x101421)+P107(f331(f331(f239(x101421),f2(x101421)),f331(f331(f248(x101421),x101422),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.30/204.31 [10295]~E(f331(a116,x102952),f331(f107(a927),x102951))+P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x102951),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),a328),a108)),x102952)))))
% 204.30/204.31 [10296]~E(f331(f107(a927),x102961),f331(a116,x102962))+P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x102961),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),a328),a108)),x102962)))))
% 204.30/204.31 [10342]E(f331(a116,x103421),f331(f107(a927),x103422))+~P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x103422),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),a328),a108)),x103421)))))
% 204.30/204.31 [10343]E(f331(f107(a927),x103431),f331(a116,x103432))+~P107(f331(f331(f86(a1,a923),f331(f107(a1),f331(f331(f80(a1),x103431),a101))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a334),f331(f331(f8(a923,a923,a1),a326),a197))),f331(f331(f7(a1,a927,a923),f331(f331(f8(a927,f935(a927,a923),a1),a328),a108)),x103432)))))
% 204.30/204.31 [10392]~P14(x103921,x103922)+P107(f331(f331(f333(f935(x103921,a923)),f819(x103922,x103921)),f331(f331(f8(f935(x103921,a923),a923,f935(x103921,a923)),f87(x103921)),f331(f331(f8(f935(x103921,a923),f935(x103921,a923),f935(x103921,a923)),f331(f18(x103921,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103921),a329),f331(f331(f18(x103921,x103921,a923),x103922),f5(x103921))))),f331(f331(f7(f935(x103921,a923),f935(x103921,f935(x103921,a923)),f935(x103921,a923)),f331(f331(f8(f935(f935(x103921,a923),a923),f935(f935(x103921,f935(x103921,a923)),f935(x103921,a923)),f935(x103921,a923)),f8(f935(x103921,a923),a923,x103921)),a328)),x103922)))))
% 204.30/204.31 [10140]~P95(x101401)+E(f331(f331(f248(x101401),f331(f107(x101401),a101)),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101402)),f78(x101401))
% 204.30/204.31 [10141]~P144(x101411)+E(f331(f331(f248(x101411),f331(f79(x101411),f78(x101411))),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101412)),f78(x101411))
% 204.30/204.31 [10144]~P83(x101441)+E(f331(f331(f248(x101441),x101442),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),f331(f331(f81(x101441),f331(f331(f81(x101441),x101442),x101442)),x101442))
% 204.30/204.31 [10321]~P107(f331(f331(f239(a1),f2(a1)),x103212))+E(f45(a1,f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103211)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103212)),f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,x103211,x103212))))
% 204.30/204.31 [10345]~P107(f331(f331(f239(a1),f2(a1)),x103452))+E(f331(f331(f36(a1),f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103451))),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103452)),f331(f331(f36(a1),x103451),x103452))
% 204.30/204.31 [10347]~P107(f331(f331(f239(a1),x103472),f2(a1)))+E(f331(f331(f36(a1),f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103471))),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103472)),f331(f331(f36(a1),f331(f331(f80(a1),x103471),f78(a1))),x103472))
% 204.30/204.31 [10348]~P107(f331(f331(f239(a1),x103482),f2(a1)))+E(f45(a1,f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103481)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103482)),f331(f331(f23(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f331(f80(a1),x103481),f78(a1)),x103482))),f78(a1)))
% 204.30/204.31 [10222]~P95(x102221)+E(f331(f331(f248(x102221),f331(f107(x102221),a101)),f331(a116,f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102222))),f331(f107(x102221),a101))
% 204.30/204.31 [10224]~P144(x102241)+E(f331(f331(f248(x102241),f331(f79(x102241),f78(x102241))),f331(a116,f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102242))),f331(f79(x102241),f78(x102241)))
% 204.30/204.31 [5181]P39(x51811,x51812)+~P7(x51811,x51813,x51812)
% 204.30/204.31 [5183]P52(x51831,x51832)+~P7(x51831,x51833,x51832)
% 204.30/204.31 [5353]~P23(x53531,x53532,x53533)+P27(x53531,x53532,x53533)
% 204.30/204.31 [5355]~P7(x53551,x53552,x53553)+P53(x53551,x53552,x53553)
% 204.30/204.31 [8296]~E(x82962,x82963)+P35(x82961,x82961,a328,x82962,x82963)
% 204.30/204.31 [8852]E(x88521,x88522)+~P35(x88523,x88523,a328,x88521,x88522)
% 204.30/204.31 [4988]E(f173(x49881,x49882,x49883),f117(x49881))+~E(x49882,f2(a927))
% 204.30/204.31 [5157]~E(f173(x51572,x51571,x51573),f117(x51572))+E(x51571,f2(a927))
% 204.30/204.31 [5360]~P38(x53601,x53603)+P38(x53601,f325(x53601,x53602,x53603))
% 204.30/204.31 [5471]~P30(x54711,x54712,x54713)+P32(a1,x54711,f182(x54712,x54713))
% 204.30/204.31 [5543]P30(x55431,x55432,x55433)+~P32(a1,x55431,f182(x55432,x55433))
% 204.30/204.31 [5613]~P7(x56131,x56132,x56133)+P7(f928(x56131),f165(x56131,x56132),f162(x56131,x56133))
% 204.30/204.31 [5614]~P53(x56141,x56142,x56143)+P53(f928(x56141),f165(x56141,x56142),f162(x56141,x56143))
% 204.30/204.31 [5725]P55(x57251,x57252,x57253)+~E(f601(x57253,x57252,x57251),f602(x57253,x57252,x57251))
% 204.30/204.31 [5726]P56(x57261,x57262,x57263)+~E(f618(x57263,x57262,x57261),f619(x57263,x57262,x57261))
% 204.30/204.31 [8302]~E(x83022,x83023)+P25(x83021,x83021,f32(x83021),x83022,x83023)
% 204.30/204.31 [8860]E(x88601,x88602)+~P25(x88603,x88603,f32(x88603),x88601,x88602)
% 204.30/204.31 [4943]~E(f331(f172(x49432),x49431),x49433)+E(x49431,f331(f172(x49432),x49433))
% 204.30/204.31 [4944]~E(x49442,f331(f172(x49441),x49443))+E(f331(f172(x49441),x49442),x49443)
% 204.30/204.31 [4994]E(x49941,x49942)+~E(f331(f172(x49943),x49941),f331(f172(x49943),x49942))
% 204.30/204.31 [5207]~P6(x52073,x52071)+P107(f331(f331(x52071,x52072),x52072))
% 204.30/204.31 [5208]~P44(x52083,x52081)+P107(f331(f331(x52081,x52082),x52082))
% 204.30/204.31 [5210]~P60(x52101,x52102)+P107(f331(f319(x52101,x52102),x52103))
% 204.30/204.31 [5275]~P38(x52751,x52752)+P38(f928(x52751),f331(f147(x52751,x52752),x52753))
% 204.30/204.31 [5280]~P107(f331(x52802,x52803))+~E(f331(f266(x52801),x52802),f192(f935(x52801,a923)))
% 204.30/204.31 [5281]~P107(f331(x52812,x52813))+~E(f192(f935(x52811,a923)),f331(f266(x52811),x52812))
% 204.30/204.31 [5293]E(x52931,f2(a927))+E(f148(x52932,f173(x52932,x52931,x52933)),x52933)
% 204.30/204.31 [5312]~P107(f331(x53121,x53123))+P107(f331(x53121,f90(x53122,x53121)))
% 204.30/204.31 [5313]~P107(f331(x53131,x53133))+P107(f331(x53131,f745(x53131,x53132)))
% 204.30/204.31 [5325]E(x53251,f2(a927))+E(f331(f145(x53252),f173(x53252,x53251,x53253)),x53253)
% 204.30/204.31 [5432]~E(x54322,x54323)+P107(f331(f331(f333(x54321),x54322),f331(a328,x54323)))
% 204.30/204.31 [5447]P107(f331(x54471,x54472))+~P107(f331(x54471,f584(x54471,x54473)))
% 204.30/204.31 [5448]~E(x54482,f2(a927))+E(f331(f176(x54481),f173(x54481,x54482,x54483)),f192(f935(x54481,a923)))
% 204.30/204.31 [5493]E(f331(f172(x54931),x54932),f331(f331(f155(x54931),x54933),f117(x54931)))+~E(x54932,f331(f331(f155(x54931),x54933),f117(x54931)))
% 204.30/204.31 [5494]~E(x54943,f331(f331(f155(x54941),x54942),f117(x54941)))+E(f331(f331(f155(x54941),x54942),f117(x54941)),f331(f172(x54941),x54943))
% 204.30/204.31 [5539]~P34(x55391,x55392,x55393)+P34(x55391,x55392,f331(f172(x55391),x55393))
% 204.30/204.31 [5540]~P32(x55401,x55402,x55403)+P32(x55401,x55402,f331(f172(x55401),x55403))
% 204.30/204.31 [5544]E(f331(f35(x55441),f341(x55442,x55443,x55441)),x55442)+~E(f331(f35(x55441),x55443),f331(a116,x55442))
% 204.30/204.31 [5551]~P38(x55511,x55513)+P107(f331(f331(f333(x55511),x55512),f320(x55511,x55513)))
% 204.30/204.31 [5555]~E(f331(f172(x55552),x55551),f331(f331(f155(x55552),x55553),f117(x55552)))+E(x55551,f331(f331(f155(x55552),x55553),f117(x55552)))
% 204.30/204.31 [5556]~E(f331(f331(f155(x55562),x55563),f117(x55562)),f331(f172(x55562),x55561))+E(x55561,f331(f331(f155(x55562),x55563),f117(x55562)))
% 204.30/204.31 [5579]E(f85(f934(a927,a927),f48(x55791,x55792)),x55793)+~P107(f331(f48(x55791,x55792),x55793))
% 204.30/204.31 [5617]P34(x56171,x56172,x56173)+~P34(x56171,x56172,f331(f172(x56171),x56173))
% 204.30/204.31 [5618]P32(x56181,x56182,x56183)+~P32(x56181,x56182,f331(f172(x56181),x56183))
% 204.30/204.31 [5656]P107(f331(f331(x56561,x56562),x56562))+~P107(f331(f274(x56563,x56561),x56562))
% 204.30/204.31 [5657]~P107(f331(f331(x56572,x56573),x56573))+P107(f331(f274(x56571,x56572),x56573))
% 204.30/204.31 [5679]~E(x56792,f117(x56791))+P107(f331(f331(f333(f928(x56791)),x56792),f165(x56791,x56793)))
% 204.30/204.31 [5688]~P53(x56881,x56882,x56883)+P53(x56881,x56882,f331(f290(x56881,x56881),x56883))
% 204.30/204.31 [5689]~P56(x56891,x56892,x56893)+P56(x56891,x56892,f331(f290(x56891,x56891),x56893))
% 204.30/204.31 [5706]~P61(x57061)+E(f45(x57061,f45(x57061,x57062,x57063),x57063),f45(x57061,x57062,x57063))
% 204.30/204.31 [5807]E(x58071,x58072)+~P107(f331(f331(f333(x58073),x58071),f331(a328,x58072)))
% 204.30/204.31 [5853]~P147(x58531)+E(f194(x58531,x58532,f2(a927),x58533),x58533)
% 204.30/204.31 [5875]P53(x58751,x58752,x58753)+~P53(x58751,x58752,f331(f290(x58751,x58751),x58753))
% 204.30/204.31 [5876]P56(x58761,x58762,x58763)+~P56(x58761,x58762,f331(f290(x58761,x58761),x58763))
% 204.30/204.31 [5880]~P109(x58802)+E(f154(x58801,x58802,x58803,f117(x58801)),f117(x58801))
% 204.30/204.31 [5892]E(f174(x58921,x58922,f156(x58921,x58923)),f156(x58921,f174(x58921,x58922,x58923)))+~P107(f331(f141(x58921),x58923))
% 204.30/204.31 [5991]~P107(f331(f331(x59913,x59912),x59912))+P107(f331(f331(f333(x59911),x59912),f274(x59911,x59913)))
% 204.30/204.31 [5993]E(f331(f140(x59931,x59932),x59933),f117(x59931))+P107(f331(x59932,f691(x59933,x59932,x59931)))
% 204.30/204.31 [6052]E(f68(x60521,x60522,x60523),x60522)+P107(f331(x60523,f746(x60522,x60521,x60523)))
% 204.30/204.31 [6144]~P107(f331(f141(x61441),x61442))+P107(f331(f141(x61441),f180(x61441,x61442,x61443)))
% 204.30/204.31 [6145]~P107(f331(f141(x61451),x61453))+P107(f331(f141(x61451),f174(x61451,x61452,x61453)))
% 204.30/204.31 [6146]~P107(f331(f141(x61461),x61463))+P107(f331(f141(x61461),f181(x61461,x61462,x61463)))
% 204.30/204.31 [6147]~P107(f331(f141(x61471),x61473))+P107(f331(f141(x61471),f144(x61471,x61472,x61473)))
% 204.30/204.31 [6148]~P148(x61481,x61483,x61482)+P107(f331(x61481,f45(a1,x61482,x61483)))
% 204.30/204.31 [6164]~P34(x61643,x61641,x61642)+P107(f331(x61641,f758(x61642,x61641,x61643)))
% 204.30/204.31 [6165]~P36(x61653,x61651,x61652)+P107(f331(x61651,f765(x61652,x61651,x61653)))
% 204.30/204.31 [6166]~P36(x61663,x61661,x61662)+P107(f331(x61661,f775(x61662,x61661,x61663)))
% 204.30/204.31 [6167]~P34(x61673,x61671,x61672)+P107(f331(x61671,f804(x61672,x61671,x61673)))
% 204.30/204.31 [6168]~P34(x61683,x61681,x61682)+P107(f331(x61681,f805(x61681,x61682,x61683)))
% 204.30/204.31 [6172]P107(f331(f331(x61721,x61722),x61722))+~P107(f331(f331(f333(x61723),x61722),f274(x61723,x61721)))
% 204.30/204.31 [6188]E(f331(f140(x61881,x61882),x61883),f181(x61881,x61882,x61883))+P107(f331(x61882,f730(x61883,x61882,x61881)))
% 204.30/204.31 [6230]~P107(f331(f141(x62301),x62303))+P107(f331(f141(f928(x62301)),f55(x62301,x62302,x62303)))
% 204.30/204.31 [6264]~P111(x62641)+E(f331(f331(f105(f935(x62641,a923)),f331(f286(x62641),x62642)),f307(x62641,x62642,x62643)),f192(f935(x62641,a923)))
% 204.30/204.31 [6265]~P111(x62651)+E(f331(f331(f105(f935(x62651,a923)),f331(f305(x62651),x62652)),f309(x62651,x62652,x62653)),f192(f935(x62651,a923)))
% 204.30/204.31 [6266]~P111(x62661)+E(f331(f331(f105(f935(x62661,a923)),f331(f305(x62661),x62662)),f310(x62661,x62662,x62663)),f192(f935(x62661,a923)))
% 204.30/204.31 [6497]E(f331(f140(x64971,x64972),x64973),x64973)+~P107(f331(x64972,f692(x64973,x64972,x64971)))
% 204.30/204.31 [6499]E(f331(f331(f313(x64991),f342(x64992,x64993,x64991)),f341(x64992,x64993,x64991)),x64993)+~E(f331(f35(x64991),x64993),f331(a116,x64992))
% 204.30/204.31 [6515]P148(x65151,x65152,x65153)+~P107(f331(x65151,f45(a1,x65153,x65152)))
% 204.30/204.31 [6565]P32(x65651,x65652,x65653)+~P107(f331(x65652,f766(x65653,x65652,x65651)))
% 204.30/204.31 [6566]P32(x65661,x65662,x65663)+~P107(f331(x65662,f773(x65662,x65663,x65661)))
% 204.30/204.31 [6567]P32(x65671,x65672,x65673)+~P107(f331(x65672,f774(x65673,x65672,x65671)))
% 204.30/204.31 [6568]P30(x65681,x65682,x65683)+~P107(f331(x65681,f788(x65683,x65682,x65681)))
% 204.30/204.31 [6569]P31(x65691,x65692,x65693)+~P107(f331(x65691,f839(x65693,x65692,x65691)))
% 204.30/204.31 [6571]E(f181(x65711,x65712,x65713),x65713)+~P107(f331(x65712,f725(x65713,x65712,x65711)))
% 204.30/204.31 [6651]~P107(f331(x66512,f587(x66513,x66512,x66511)))+P107(f331(f252(x66511,x66512),x66513))
% 204.30/204.31 [6652]~P107(f331(x66522,f693(x66523,x66522,x66521)))+P107(f331(f164(x66521,x66522),x66523))
% 204.30/204.31 [6897]~P107(f331(f319(x68971,x68972),f498(x68973,x68972,x68971)))+P107(f331(f319(x68971,x68972),x68973))
% 204.30/204.31 [6898]~P107(f331(f319(x68981,x68982),f512(x68983,x68982,x68981)))+P107(f331(f319(x68981,x68982),x68983))
% 204.30/204.31 [7513]~P61(x75131)+E(f331(f331(f80(x75131),f331(f331(f81(x75131),x75132),f331(f331(f36(x75131),x75133),x75132))),f45(x75131,x75133,x75132)),x75133)
% 204.30/204.31 [7542]P30(x75421,x75422,x75423)+P107(f331(f331(f333(a1),f788(x75423,x75422,x75421)),f307(a1,x75422,x75423)))
% 204.30/204.31 [7970]E(f331(f331(f256(x79701,x79701),f528(x79702,x79703,x79701)),f528(x79702,x79703,x79701)),x79703)+~P107(f331(f331(f333(f934(x79701,x79701)),x79703),f267(x79701,x79702)))
% 204.30/204.31 [8089]~P107(f331(f331(f333(x80891),f541(x80893,x80892,x80891)),f320(x80891,x80893)))+P107(f331(f331(f333(x80891),x80892),f320(x80891,x80893)))
% 204.30/204.31 [8090]~P107(f331(f331(f333(x80901),f603(x80903,x80902,x80901)),f320(x80901,x80903)))+P107(f331(f331(f333(x80901),x80902),f320(x80901,x80903)))
% 204.30/204.31 [8091]~P107(f331(f331(f333(x80911),f606(x80913,x80912,x80911)),f320(x80911,x80913)))+P107(f331(f331(f333(x80911),x80912),f320(x80911,x80913)))
% 204.30/204.31 [8183]P34(a1,x81831,f182(x81832,x81833))+P30(f331(f73(a923,a923,a1,a326),x81831),x81832,x81833)
% 204.30/204.31 [8277]~P61(x82771)+E(f331(f331(f80(x82771),f331(f331(f81(x82771),f331(f331(f36(x82771),x82772),x82773)),x82773)),f45(x82771,x82772,x82773)),x82772)
% 204.30/204.31 [8323]~E(f331(f35(x83231),x83232),f331(a116,x83233))+~P107(f331(f331(f333(x83231),f342(x83233,x83232,x83231)),f341(x83233,x83232,x83231)))
% 204.30/204.31 [8770]~P34(a1,x87701,f182(x87702,x87703))+~P30(f331(f73(a923,a923,a1,a326),x87701),x87702,x87703)
% 204.30/204.31 [8957]P107(f331(f331(f239(f935(f934(x89571,x89571),a923)),f311(x89571,x89572)),f311(x89571,x89573)))+~P107(f331(f331(f239(f935(f934(x89571,x89571),a923)),x89572),f311(x89571,x89573)))
% 204.30/204.31 [9240]E(x92401,f117(x92402))+~P107(f331(f331(f333(f934(f928(x92402),f928(x92402))),f331(f331(f256(f928(x92402),f928(x92402)),x92401),f117(x92402))),f162(x92402,x92403)))
% 204.30/204.31 [9265]E(x92651,f117(x92652))+~P107(f331(f331(f333(f934(f928(x92652),f928(x92652))),f331(f331(f256(f928(x92652),f928(x92652)),f117(x92652)),x92651)),f162(x92652,x92653)))
% 204.30/204.31 [9391]E(f331(f331(f155(x93911),f699(x93912,x93913,x93911)),f700(x93912,x93913,x93911)),x93913)+~P107(f331(f331(f333(f934(f928(x93911),f928(x93911))),f331(f331(f256(f928(x93911),f928(x93911)),f117(x93911)),x93913)),f151(x93911,x93912)))
% 204.30/204.31 [9635]~P128(x96351)+~P107(f331(f331(f240(x96351),f331(f331(f80(x96351),f331(f331(f81(x96351),x96352),x96352)),f331(f331(f81(x96351),x96353),x96353))),f2(x96351)))
% 204.30/204.31 [9684]P107(f331(f61(x96841),x96842))+~P107(f331(f331(f333(f934(f935(x96841,a923),f935(x96841,a923))),f331(f331(f256(f935(x96841,a923),f935(x96841,a923)),x96843),x96842)),f318(x96841)))
% 204.30/204.31 [9988]~P48(x99881,x99882,x99883)+P107(f331(f331(f239(a1),f331(f331(f73(f934(a1,a1),a1,x99881,f255(a1,a1)),f217(x99881)),f235(x99881,x99882,f232(x99881,x99883)))),f2(a1)))
% 204.30/204.31 [9989]~P49(x99891,x99892,x99893)+P107(f331(f331(f240(a1),f331(f331(f73(f934(a1,a1),a1,x99891,f255(a1,a1)),f217(x99891)),f235(x99891,x99892,f232(x99891,x99893)))),f2(a1)))
% 204.30/204.31 [10108]P49(x101081,x101082,x101083)+~P107(f331(f331(f240(a1),f331(f331(f73(f934(a1,a1),a1,x101081,f255(a1,a1)),f217(x101081)),f235(x101081,x101082,f232(x101081,x101083)))),f2(a1)))
% 204.30/204.31 [10109]P48(x101091,x101092,x101093)+~P107(f331(f331(f239(a1),f331(f331(f73(f934(a1,a1),a1,x101091,f255(a1,a1)),f217(x101091)),f235(x101091,x101092,f232(x101091,x101093)))),f2(a1)))
% 204.30/204.31 [10456]~P114(x104561)+~P107(f331(f331(f240(x104561),f331(f331(f80(x104561),f331(f331(f248(x104561),x104562),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x104561),x104563),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x104561)))
% 204.30/204.31 [4973]~E(x49733,f117(x49731))+E(f331(f331(f138(x49731),x49732),x49733),x49732)
% 204.30/204.31 [4974]~E(x49742,f117(x49741))+E(f331(f331(f138(x49741),x49742),x49743),x49743)
% 204.30/204.31 [4980]~E(x49802,f2(a927))+E(f331(f331(f179(x49801),x49802),x49803),f117(x49801))
% 204.30/204.31 [4989]~E(x49893,f117(x49891))+E(f331(f331(f179(x49891),x49892),x49893),f117(x49891))
% 204.30/204.31 [5028]~E(x50281,x50283)+E(x50281,f331(f331(f138(x50282),f117(x50282)),x50283))
% 204.30/204.31 [5120]~P1(x51202)+E(f331(f192(f935(x51201,x51202)),x51203),f192(x51202))
% 204.30/204.31 [5121]~P116(x51212)+E(f331(f246(f935(x51211,x51212)),x51213),f246(x51212))
% 204.30/204.31 [5139]E(x51391,f117(x51392))+~E(f331(f331(f138(x51392),x51393),x51391),x51393)
% 204.30/204.31 [5140]E(x51401,f117(x51402))+~E(f331(f331(f138(x51402),x51401),x51403),x51403)
% 204.30/204.31 [5148]E(x51481,f117(x51482))+~E(f331(f331(f138(x51482),x51483),x51481),f117(x51482))
% 204.30/204.31 [5149]E(x51491,f117(x51492))+~E(f331(f331(f138(x51492),x51491),x51493),f117(x51492))
% 204.30/204.31 [5174]~E(x51742,f2(a927))+E(f331(f331(f81(a927),x51741),x51742),f331(f331(f81(a927),x51743),x51742))
% 204.30/204.31 [5176]~E(x51761,f2(a927))+E(f331(f331(f81(a927),x51761),x51762),f331(f331(f81(a927),x51761),x51763))
% 204.30/204.31 [5234]~P79(x52341)+E(f331(f331(f114(x52341),x52342),x52343),f331(f331(f114(x52341),x52343),x52342))
% 204.30/204.31 [5236]~P102(x52361)+E(f331(f331(f114(x52361),x52362),x52363),f331(f331(f114(x52361),x52363),x52362))
% 204.30/204.31 [5237]~P120(x52371)+E(f331(f331(f81(x52371),x52372),x52373),f331(f331(f81(x52371),x52373),x52372))
% 204.30/204.31 [5238]~P79(x52381)+E(f331(f331(f105(x52381),x52382),x52383),f331(f331(f105(x52381),x52383),x52382))
% 204.30/204.31 [5240]~P103(x52401)+E(f331(f331(f105(x52401),x52402),x52403),f331(f331(f105(x52401),x52403),x52402))
% 204.30/204.31 [5241]~P120(x52411)+E(f331(f331(f80(x52411),x52412),x52413),f331(f331(f80(x52411),x52413),x52412))
% 204.30/204.31 [5243]~P109(x52431)+E(f331(f331(f237(x52431),x52432),x52433),f331(f331(f237(x52431),x52433),x52432))
% 204.30/204.31 [5245]~P109(x52451)+E(f331(f331(f238(x52451),x52452),x52453),f331(f331(f238(x52451),x52453),x52452))
% 204.30/204.31 [5307]E(f45(a927,x53071,x53072),f2(a927))+~E(x53071,f331(f331(f81(a927),x53072),x53073))
% 204.30/204.31 [5308]E(f45(a1,x53081,x53082),f2(a1))+~E(x53081,f331(f331(f81(a1),x53082),x53083))
% 204.30/204.31 [5372]E(x53721,x53722)+~E(f331(f331(f80(a927),x53723),x53721),f331(f331(f80(a927),x53723),x53722))
% 204.30/204.31 [5373]E(x53731,x53732)+~E(f331(f331(f80(a927),x53731),x53733),f331(f331(f80(a927),x53732),x53733))
% 204.30/204.31 [5383]~P97(x53831)+E(f331(f331(f105(x53831),x53832),f331(f79(x53831),x53833)),f331(f331(f23(x53831),x53832),x53833))
% 204.30/204.31 [5384]~P68(x53841)+E(f331(f331(f80(x53841),x53842),f331(f79(x53841),x53843)),f331(f331(f23(x53841),x53842),x53843))
% 204.30/204.31 [5385]~P76(x53851)+E(f331(f331(f80(x53851),x53852),f331(f79(x53851),x53853)),f331(f331(f23(x53851),x53852),x53853))
% 204.30/204.31 [5386]~P119(x53861)+E(f331(f331(f80(x53861),x53862),f331(f79(x53861),x53863)),f331(f331(f23(x53861),x53862),x53863))
% 204.30/204.31 [5387]~P76(x53871)+E(f331(f331(f23(x53871),x53872),f331(f79(x53871),x53873)),f331(f331(f80(x53871),x53872),x53873))
% 204.30/204.31 [5426]~P107(f331(x54263,x54262))+P107(f331(f331(f333(x54261),x54262),x54263))
% 204.30/204.31 [5428]~P72(x54282)+E(f331(f331(f6(x54281,x54282),x54283),f192(f935(x54281,a923))),f2(x54282))
% 204.30/204.31 [5430]~P71(x54302)+E(f331(f331(f9(x54301,x54302),x54303),f192(f935(x54301,a923))),f78(x54302))
% 204.30/204.31 [5483]~E(x54832,f331(f331(f80(a927),x54831),x54833))+P107(f331(f331(f239(a927),x54831),x54832))
% 204.30/204.31 [5486]~E(x54862,f192(f935(x54861,a923)))+E(f331(f331(f60(x54861),x54862),x54863),f192(f935(f935(x54861,a923),a923)))
% 204.30/204.31 [5487]~E(x54872,f192(f935(x54871,a923)))+E(f192(f935(f935(x54871,a923),a923)),f331(f331(f60(x54871),x54872),x54873))
% 204.30/204.31 [5559]~E(f331(f288(x55592,x55593),x55591),f192(f935(x55593,a923)))+E(x55591,f192(f935(f934(x55592,x55593),a923)))
% 204.30/204.31 [5560]~E(f331(f268(x55602,x55603),x55601),f192(f935(x55602,a923)))+E(x55601,f192(f935(f934(x55602,x55603),a923)))
% 204.30/204.31 [5592]E(f331(f288(x55921,x55922),x55923),f192(f935(x55922,a923)))+~E(x55923,f192(f935(f934(x55921,x55922),a923)))
% 204.30/204.31 [5593]E(f331(f268(x55931,x55932),x55933),f192(f935(x55931,a923)))+~E(x55933,f192(f935(f934(x55931,x55932),a923)))
% 204.30/204.31 [5596]E(f278(x55961,x55962,x55963),f331(f331(f23(a103),x55962),x55963))+P107(f331(f331(f240(a103),x55962),x55963))
% 204.30/204.31 [5611]P107(f331(x56111,x56112))+~P107(f331(f331(f333(x56113),x56112),x56111))
% 204.30/204.31 [5649]E(x56491,x56492)+~E(f331(f79(f935(x56493,a923)),x56491),f331(f79(f935(x56493,a923)),x56492))
% 204.30/204.31 [5660]~E(x56601,f192(f935(x56602,a923)))+~P107(f331(f331(f333(x56602),x56603),x56601))
% 204.30/204.31 [5690]~E(x56902,f331(f331(f80(a1),x56901),f331(f104(a1),x56903)))+P107(f331(f331(f239(a1),x56901),x56902))
% 204.30/204.31 [5704]E(f331(f331(f313(x57041),x57042),x57043),x57043)+~P107(f331(f331(f333(x57041),x57042),x57043))
% 204.30/204.31 [5715]E(x57151,f192(f935(x57152,a923)))+~E(f331(f331(f60(x57152),x57151),x57153),f192(f935(f935(x57152,a923),a923)))
% 204.30/204.31 [5716]E(x57161,f192(f935(x57162,a923)))+~E(f192(f935(f935(x57162,a923),a923)),f331(f331(f60(x57162),x57161),x57163))
% 204.30/204.31 [5723]~P112(x57231)+E(f331(f331(f81(x57231),f331(f79(x57231),x57232)),f331(f79(x57231),x57233)),f331(f331(f81(x57231),x57232),x57233))
% 204.30/204.31 [5724]~P64(x57241)+E(f331(f331(f294(x57241),f331(f79(x57241),x57242)),f331(f79(x57241),x57243)),f331(f331(f294(x57241),x57242),x57243))
% 204.30/204.31 [5756]~P107(f331(x57563,x57562))+P107(f331(f331(f333(x57561),x57562),f331(f266(x57561),x57563)))
% 204.30/204.31 [5781]E(x57811,f2(a927))+E(f331(f176(x57812),f173(x57812,x57811,x57813)),f331(f331(f313(x57812),x57813),f192(f935(x57812,a923))))
% 204.30/204.31 [5800]E(f174(x58001,x58002,x58003),x58003)+P107(f331(f331(f333(x58001),x58002),f331(f176(x58001),x58003)))
% 204.30/204.31 [5884]~P107(f331(f141(x58841),x58843))+P107(f331(f141(x58841),f331(f140(x58841,x58842),x58843)))
% 204.30/204.31 [5927]~P61(x59271)+E(f331(f331(f36(x59271),f45(x59271,x59272,x59273)),x59273),f2(x59271))
% 204.30/204.31 [5946]E(f180(x59461,f331(f331(f155(x59461),x59462),f117(x59461)),x59463),f117(x59461))+P107(f331(f331(f333(a927),f2(a927)),x59463))
% 204.30/204.31 [5952]E(x59521,f2(a927))+E(f331(f175(x59522),f173(x59522,x59521,x59523)),f173(x59522,f331(f331(f23(a927),x59521),f78(a927)),x59523))
% 204.30/204.31 [6003]E(f331(f331(f155(x60031),x60032),x60033),f144(x60031,x60032,x60033))+P107(f331(f331(f333(x60031),x60032),f331(f176(x60031),x60033)))
% 204.30/204.31 [6012]E(x60121,x60122)+~E(f331(f331(f81(a927),f331(a116,x60123)),x60121),f331(f331(f81(a927),f331(a116,x60123)),x60122))
% 204.30/204.31 [6013]~E(x60132,f331(f331(f80(a1),x60131),f331(f104(a1),f331(a116,x60133))))+P107(f331(f331(f240(a1),x60131),x60132))
% 204.30/204.31 [6074]~P31(x60741,x60742,x60743)+P32(a927,x60741,f143(a927,f331(f306(a927,x60742),x60743)))
% 204.30/204.31 [6125]~E(x61253,f117(x61251))+E(f331(f331(f331(f187(f928(x61251),f928(x61251)),x61252),f171(x61251)),x61253),f117(x61251))
% 204.30/204.31 [6129]P107(f331(x61291,x61292))+~P107(f331(f331(f333(x61293),x61292),f331(f266(x61293),x61291)))
% 204.30/204.31 [6159]E(x61591,x61592)+~E(f331(f331(f313(x61593),x61591),f192(f935(x61593,a923))),f331(f331(f313(x61593),x61592),f192(f935(x61593,a923))))
% 204.30/204.31 [6174]~P111(x61741)+E(f331(f331(f105(f935(x61741,a923)),f331(f286(x61741),x61742)),f331(f306(x61741,x61742),x61743)),f192(f935(x61741,a923)))
% 204.30/204.31 [6214]E(f144(x62141,x62142,x62143),x62143)+~P107(f331(f331(f333(x62141),x62142),f331(f176(x62141),x62143)))
% 204.30/204.31 [6238]~P81(x62381)+E(f331(f314(x62381,x62381,f79(x62381)),f331(f306(x62381,x62382),x62383)),f309(x62381,f331(f79(x62381),x62383),f331(f79(x62381),x62382)))
% 204.30/204.31 [6249]E(f331(f193(f928(x62491)),f174(x62491,x62492,x62493)),f331(f193(f928(x62491)),x62493))+P107(f331(f331(f333(x62491),x62492),f331(f176(x62491),x62493)))
% 204.30/204.31 [6303]~P111(x63031)+E(f331(f331(f105(f935(x63031,a923)),f331(f306(x63031,x63032),x63033)),f331(f287(x63031),x63033)),f192(f935(x63031,a923)))
% 204.30/204.31 [6323]~P81(x63231)+E(f331(f314(x63231,x63231,f79(x63231)),f307(x63231,x63232,x63233)),f307(x63231,f331(f79(x63231),x63233),f331(f79(x63231),x63232)))
% 204.30/204.31 [6324]~P81(x63241)+E(f331(f314(x63241,x63241,f79(x63241)),f310(x63241,x63242,x63243)),f310(x63241,f331(f79(x63241),x63243),f331(f79(x63241),x63242)))
% 204.30/204.31 [6388]E(f180(x63881,f331(f331(f155(x63881),x63882),f117(x63881)),x63883),f331(f331(f155(x63881),x63882),f117(x63881)))+~P107(f331(f331(f333(a927),f2(a927)),x63883))
% 204.30/204.31 [6393]P31(x63931,x63932,x63933)+~P32(a927,x63931,f143(a927,f331(f306(a927,x63932),x63933)))
% 204.30/204.31 [6396]~P81(x63961)+E(f331(f314(x63961,x63961,f79(x63961)),f309(x63961,x63962,x63963)),f331(f306(x63961,f331(f79(x63961),x63963)),f331(f79(x63961),x63962)))
% 204.30/204.31 [6416]~P62(x64161)+E(f45(x64161,f331(f79(x64161),f45(x64161,x64162,x64163)),x64163),f45(x64161,f331(f79(x64161),x64162),x64163))
% 204.30/204.31 [6512]~P107(f331(f61(f934(x65122,x65121)),x65123))+P107(f331(f61(x65121),f331(f288(x65122,x65121),x65123)))
% 204.30/204.31 [6513]~P107(f331(f61(f934(x65131,x65132)),x65133))+P107(f331(f61(x65131),f331(f268(x65131,x65132),x65133)))
% 204.30/204.31 [6519]~P111(x65191)+E(f331(f331(f105(f935(x65191,a923)),f307(x65191,x65192,x65193)),f331(f308(x65191),x65193)),f192(f935(x65191,a923)))
% 204.30/204.31 [6520]~P111(x65201)+E(f331(f331(f105(f935(x65201,a923)),f309(x65201,x65202,x65203)),f331(f308(x65201),x65203)),f192(f935(x65201,a923)))
% 204.30/204.31 [6521]~P111(x65211)+E(f331(f331(f105(f935(x65211,a923)),f310(x65211,x65212,x65213)),f331(f287(x65211),x65213)),f192(f935(x65211,a923)))
% 204.30/204.31 [6591]E(f331(f331(f168(x65911),x65912),f642(x65912,x65913,x65911)),x65913)+~P107(f331(f331(f333(x65911),x65913),f331(f176(x65911),x65912)))
% 204.30/204.31 [6733]E(x67331,f117(x67332))+~E(f331(f331(f331(f187(f928(x67332),f928(x67332)),x67333),f171(x67332)),x67331),f117(x67332))
% 204.30/204.31 [6837]~P107(f331(f61(f934(x68372,x68371)),x68373))+P107(f331(f61(f934(x68371,x68372)),f331(f290(x68372,x68371),x68373)))
% 204.30/204.31 [6988]P56(x69881,x69882,x69883)+P107(f331(f331(f333(x69881),f619(x69883,x69882,x69881)),x69882))
% 204.30/204.31 [6989]P56(x69891,x69892,x69893)+P107(f331(f331(f333(x69891),f618(x69893,x69892,x69891)),x69892))
% 204.30/204.31 [6999]P107(f331(f319(x69991,x69992),x69993))+P107(f331(f331(x69992,f498(x69993,x69992,x69991)),x69993))
% 204.30/204.31 [7000]P107(f331(f319(x70001,x70002),x70003))+P107(f331(f331(x70002,f512(x70003,x70002,x70001)),x70003))
% 204.30/204.31 [7031]E(f331(f193(f928(x70311)),f174(x70311,x70312,x70313)),f331(f331(f23(a927),f331(f193(f928(x70311)),x70313)),f78(a927)))+~P107(f331(f331(f333(x70311),x70312),f331(f176(x70311),x70313)))
% 204.30/204.31 [7070]P107(f331(f252(x70701,x70702),x70703))+P107(f331(f331(f333(x70701),f587(x70703,x70702,x70701)),x70703))
% 204.30/204.31 [7079]~P107(f331(f61(f934(x70792,x70791)),f331(f290(x70791,x70792),x70793)))+P107(f331(f61(f934(x70791,x70792)),x70793))
% 204.30/204.31 [7134]~P107(f331(f331(f333(x71341),x71342),f331(f176(x71341),f118(x71341,x71343))))+P107(f331(f331(f333(x71341),x71342),f331(f176(x71341),x71343)))
% 204.30/204.31 [7170]E(f331(f140(x71701,x71702),x71703),x71703)+P107(f331(f331(f333(x71701),f692(x71703,x71702,x71701)),f331(f176(x71701),x71703)))
% 204.30/204.31 [7185]E(f331(f140(x71851,x71852),x71853),f117(x71851))+P107(f331(f331(f333(x71851),f691(x71853,x71852,x71851)),f331(f176(x71851),x71853)))
% 204.30/204.31 [7209]P32(x72091,x72092,x72093)+P107(f331(f331(f333(x72091),f766(x72093,x72092,x72091)),f331(f176(x72091),x72093)))
% 204.30/204.31 [7210]P32(x72101,x72102,x72103)+P107(f331(f331(f333(x72101),f774(x72103,x72102,x72101)),f331(f176(x72101),x72103)))
% 204.30/204.31 [7211]P32(x72111,x72112,x72113)+P107(f331(f331(f333(x72111),f773(x72112,x72113,x72111)),f331(f176(x72111),x72113)))
% 204.30/204.31 [7214]E(f181(x72141,x72142,x72143),x72143)+P107(f331(f331(f333(x72141),f725(x72143,x72142,x72141)),f331(f176(x72141),x72143)))
% 204.30/204.31 [7292]P107(f331(f164(x72921,x72922),x72923))+P107(f331(f331(f333(x72921),f693(x72923,x72922,x72921)),f331(f176(x72921),x72923)))
% 204.30/204.31 [7301]~P34(x73011,x73013,x73012)+P107(f331(f331(f333(x73011),f758(x73012,x73013,x73011)),f331(f176(x73011),x73012)))
% 204.30/204.31 [7302]~P36(x73021,x73023,x73022)+P107(f331(f331(f333(x73021),f765(x73022,x73023,x73021)),f331(f176(x73021),x73022)))
% 204.30/204.31 [7303]~P36(x73031,x73033,x73032)+P107(f331(f331(f333(x73031),f775(x73032,x73033,x73031)),f331(f176(x73031),x73032)))
% 204.30/204.31 [7304]~P34(x73041,x73043,x73042)+P107(f331(f331(f333(x73041),f804(x73042,x73043,x73041)),f331(f176(x73041),x73042)))
% 204.30/204.31 [7305]~P34(x73051,x73052,x73053)+P107(f331(f331(f333(x73051),f805(x73052,x73053,x73051)),f331(f176(x73051),x73053)))
% 204.30/204.31 [7339]P107(f331(f331(f333(x73391),x73392),f648(x73393,x73392,x73391)))+~P107(f331(f331(f333(x73391),x73392),f37(f935(x73391,a923),x73393)))
% 204.30/204.31 [7340]~P72(x73401)+E(f331(f331(f80(x73401),f331(f331(f6(a927,x73401),x73402),f331(f286(a927),x73403))),f331(x73402,x73403)),f331(f331(f6(a927,x73401),x73402),f331(f286(a927),f331(a116,x73403))))
% 204.30/204.31 [7352]P31(x73521,x73522,x73523)+P107(f331(f331(f333(a927),f839(x73523,x73522,x73521)),f331(f306(a927,x73522),x73523)))
% 204.30/204.31 [7430]~P34(x74302,x74301,x74303)+P107(f331(x74301,f331(f331(f168(x74302),x74303),f762(x74303,x74301,x74302))))
% 204.30/204.31 [7443]~P107(f331(f331(f333(x74431),x74432),f499(x74432,x74433,x74431)))+P107(f331(f331(f333(x74431),x74432),f38(f935(x74431,a923),x74433)))
% 204.30/204.31 [7476]~P72(x74761)+E(f331(f331(f80(x74761),f331(f331(f6(a927,x74761),x74762),f331(f305(a927),x74763))),f331(x74762,f331(a116,x74763))),f331(f331(f6(a927,x74761),x74762),f331(f305(a927),f331(a116,x74763))))
% 204.30/204.31 [7613]P107(f331(f331(f333(f928(x76131)),x76132),f165(x76131,x76133)))+P107(f331(f331(f333(x76131),f666(x76133,x76132,x76131)),f331(f176(x76131),x76132)))
% 204.30/204.31 [7629]~P107(f331(f331(f333(f928(x76291)),x76292),f165(x76291,f320(x76291,x76293))))+P107(f331(f331(f333(f928(x76291)),x76292),f320(f928(x76291),f161(x76291,x76293))))
% 204.30/204.31 [7654]~P107(f331(f331(f333(f928(x76541)),x76542),f320(f928(x76541),f161(x76541,x76543))))+P107(f331(f331(f333(f928(x76541)),x76542),f165(x76541,f320(x76541,x76543))))
% 204.30/204.31 [7687]E(f331(f331(f331(f187(f928(x76871),f928(x76871)),x76872),f171(x76871)),x76873),x76873)+~P107(f331(f331(f239(a927),f331(f193(f928(x76871)),x76873)),f78(a927)))
% 204.30/204.31 [7721]E(f331(f331(f138(x77211),f763(x77212,x77213,x77211)),f331(f331(f155(x77211),x77213),f764(x77212,x77213,x77211))),x77212)+~P107(f331(f331(f333(x77211),x77213),f331(f176(x77211),x77212)))
% 204.30/204.31 [7722]E(f331(f331(f138(x77221),f768(x77222,x77223,x77221)),f331(f331(f155(x77221),x77223),f769(x77222,x77223,x77221))),x77222)+~P107(f331(f331(f333(x77221),x77223),f331(f176(x77221),x77222)))
% 204.30/204.31 [7723]E(f331(f331(f138(x77231),f770(x77232,x77233,x77231)),f331(f331(f155(x77231),x77233),f771(x77232,x77233,x77231))),x77232)+~P107(f331(f331(f333(x77231),x77233),f331(f176(x77231),x77232)))
% 204.30/204.31 [7745]~P24(x77451,x77452,x77453,f246(f935(x77451,a923)))+P24(f928(x77451),f928(x77452),f331(f158(x77451,x77452),x77453),f246(f935(f928(x77451),a923)))
% 204.30/204.31 [7891]E(x78911,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x78912)),x78913)),f331(f260(a927,a927),x78912)))+~P107(f331(f48(x78911,x78913),x78912))
% 204.30/204.31 [7899]P24(x78991,x78992,x78993,f246(f935(x78991,a923)))+~P24(f928(x78991),f928(x78992),f331(f158(x78991,x78992),x78993),f246(f935(f928(x78991),a923)))
% 204.30/204.31 [7944]P107(f331(f331(f333(f935(x79441,a923)),f499(x79442,x79443,x79441)),x79443))+P107(f331(f331(f333(x79441),x79442),f38(f935(x79441,a923),x79443)))
% 204.30/204.31 [8037]P107(f331(f331(f333(f928(x80371)),x80372),f165(x80371,x80373)))+~P107(f331(f331(f333(x80371),f666(x80373,x80372,x80371)),x80373))
% 204.30/204.31 [8138]P32(x81381,x81382,x81383)+~P107(f331(x81382,f331(f331(f168(x81381),x81383),f767(x81383,x81382,x81381))))
% 204.30/204.31 [8162]E(x81621,x81622)+~E(f331(f331(f7(x81623,f935(x81623,a923),a923),f333(x81623)),x81621),f331(f331(f7(x81623,f935(x81623,a923),a923),f333(x81623)),x81622))
% 204.30/204.31 [8170]~P107(f331(f331(f333(f934(x81701,x81701)),x81703),f267(x81701,x81702)))+P107(f331(f331(f333(x81701),f528(x81702,x81703,x81701)),x81702))
% 204.30/204.31 [8172]~P107(f331(f331(f333(x81721),x81723),f37(f935(x81721,a923),x81722)))+P107(f331(f331(f333(f935(x81721,a923)),f648(x81722,x81723,x81721)),x81722))
% 204.30/204.31 [8297]P24(x82971,x82972,f92(x82972,x82971,f246(f935(x82972,a923)),x82973),f246(f935(x82971,a923)))+~E(f331(f314(x82972,x82971,x82973),f246(f935(x82972,a923))),f246(f935(x82971,a923)))
% 204.30/204.31 [8350]~P107(f331(f331(f333(x83501),x83502),f331(f176(x83501),f768(x83503,x83502,x83501))))+~P107(f331(f331(f333(x83501),x83502),f331(f176(x83501),x83503)))
% 204.30/204.31 [8351]~P107(f331(f331(f333(x83511),x83512),f331(f176(x83511),f771(x83513,x83512,x83511))))+~P107(f331(f331(f333(x83511),x83512),f331(f176(x83511),x83513)))
% 204.30/204.31 [8377]P31(f331(f73(a923,a923,a927,a326),x83771),x83772,x83773)+P34(a927,x83771,f143(a927,f331(f306(a927,x83772),x83773)))
% 204.30/204.31 [8538]E(x85381,f117(x85382))+P107(f331(f331(f333(x85382),f331(f255(x85382,f934(a103,a103)),f331(f279(x85382,x85381),x85383))),f331(f176(x85382),x85381)))
% 204.30/204.31 [8636]~P70(x86361)+E(f331(f146(x86361,x86361,f331(f7(x86361,x86361,x86361),f80(x86361)),x86362),f331(f172(x86361),x86363)),f331(f146(x86361,x86361,f80(x86361),x86362),x86363))
% 204.30/204.31 [8840]~P24(x88402,x88401,x88403,f246(f935(x88402,a923)))+E(f331(f314(x88401,x88402,f92(x88402,x88401,f246(f935(x88402,a923)),x88403)),f246(f935(x88401,a923))),f246(f935(x88402,a923)))
% 204.30/204.31 [8910]~P31(f331(f73(a923,a923,a927,a326),x89101),x89102,x89103)+~P34(a927,x89101,f143(a927,f331(f306(a927,x89102),x89103)))
% 204.30/204.31 [9157]~P109(x91571)+E(f331(f176(x91571),f153(x91571,x91571,f5(x91571),x91572,x91573)),f331(f331(f313(x91571),x91572),f331(f176(x91571),x91573)))
% 204.30/204.31 [9166]~E(f331(x91663,f331(f92(x91661,x91662,f246(f935(x91661,a923)),x91663),f818(x91663,x91662,x91661))),f818(x91663,x91662,x91661))+E(f331(f314(x91661,x91662,x91663),f246(f935(x91661,a923))),f246(f935(x91662,a923)))
% 204.30/204.31 [9168]P107(f331(f331(f240(a927),f2(a927)),f626(x91681,x91682,x91683)))+~P107(f331(f331(f333(f934(x91683,x91683)),x91682),f331(f331(f293(x91683,x91683,x91683),x91681),f311(x91683,x91681))))
% 204.30/204.31 [9451]~P58(x94511,x94512)+~P107(f331(f331(f333(f934(x94511,x94511)),f331(f331(f256(x94511,x94511),x94513),x94513)),f331(f331(f293(x94511,x94511,x94511),x94512),f311(x94511,x94512))))
% 204.30/204.31 [9590]~E(f331(f331(f105(f935(f934(x95901,x95901),a923)),f331(f290(x95901,x95901),x95902)),f311(x95901,x95902)),f192(f935(f934(x95901,x95901),a923)))+~P107(f331(f331(f333(f934(x95901,x95901)),f331(f331(f256(x95901,x95901),x95903),x95903)),f331(f331(f293(x95901,x95901,x95901),x95902),f311(x95901,x95902))))
% 204.30/204.31 [9780]~P107(f331(f61(x97801),x97802))+P107(f331(f331(f239(a927),f331(f35(x97801),f331(f331(f23(f935(x97801,a923)),x97802),f331(f331(f313(x97801),x97803),f192(f935(x97801,a923)))))),f331(f35(x97801),x97802)))
% 204.30/204.31 [5295]~E(x52953,f117(x52951))+E(f148(x52951,f331(f331(f155(x52951),x52952),x52953)),x52952)
% 204.30/204.31 [5304]~E(x53043,f117(x53041))+E(f118(x53041,f331(f331(f155(x53041),x53042),x53043)),f117(x53041))
% 204.30/204.31 [5334]E(x53341,f117(x53342))+E(f148(x53342,f331(f331(f155(x53342),x53343),x53341)),f148(x53342,x53341))
% 204.30/204.31 [5336]E(x53361,f117(x53362))+E(f148(x53362,f331(f331(f138(x53362),x53363),x53361)),f148(x53362,x53361))
% 204.30/204.31 [5341]~E(x53413,f117(x53411))+E(f118(x53411,f331(f331(f138(x53411),x53412),x53413)),f118(x53411,x53412))
% 204.30/204.31 [5343]~E(x53433,f117(x53431))+E(f148(x53431,f331(f331(f138(x53431),x53432),x53433)),f148(x53431,x53432))
% 204.30/204.31 [5377]E(x53771,f117(x53772))+E(f331(f145(x53772),f331(f331(f138(x53772),x53771),x53773)),f331(f145(x53772),x53771))
% 204.30/204.31 [5406]~E(x54062,f117(x54061))+E(f331(f145(x54061),f331(f331(f138(x54061),x54062),x54063)),f331(f145(x54061),x54063))
% 204.30/204.31 [5459]~P79(x54591)+E(f331(f331(f114(x54591),x54592),f331(f331(f105(x54591),x54592),x54593)),x54592)
% 204.30/204.31 [5460]~P79(x54601)+E(f331(f331(f105(x54601),x54602),f331(f331(f114(x54601),x54602),x54603)),x54602)
% 204.30/204.31 [5461]~P109(x54611)+E(f331(f331(f237(x54611),x54612),f331(f331(f238(x54611),x54612),x54613)),x54612)
% 204.30/204.31 [5462]~P109(x54621)+E(f331(f331(f238(x54621),x54622),f331(f331(f237(x54621),x54622),x54623)),x54622)
% 204.30/204.31 [5481]~P61(x54811)+E(f45(x54811,f331(f331(f81(x54811),x54812),x54813),x54813),f2(x54811))
% 204.30/204.31 [5482]~P61(x54821)+E(f45(x54821,f331(f331(f81(x54821),x54822),x54823),x54822),f2(x54821))
% 204.30/204.31 [5554]~P68(x55541)+E(f331(f79(x55541),f331(f331(f23(x55541),x55542),x55543)),f331(f331(f23(x55541),x55543),x55542))
% 204.30/204.31 [5615]E(x56151,f117(x56152))+E(f118(x56152,f331(f331(f155(x56152),x56153),x56151)),f331(f331(f155(x56152),x56153),f118(x56152,x56151)))
% 204.30/204.31 [5616]E(x56161,f117(x56162))+E(f118(x56162,f331(f331(f138(x56162),x56163),x56161)),f331(f331(f138(x56162),x56163),f118(x56162,x56161)))
% 204.30/204.31 [5619]~P4(x56191)+E(f37(x56191,f331(f331(f313(x56191),x56192),x56193)),f331(f331(f114(x56191),x56192),f37(x56191,x56193)))
% 204.30/204.31 [5620]~P4(x56201)+E(f38(x56201,f331(f331(f313(x56201),x56202),x56203)),f331(f331(f105(x56201),x56202),f38(x56201,x56203)))
% 204.30/204.31 [5665]~P79(x56651)+E(f331(f331(f114(x56651),x56652),f331(f331(f114(x56651),x56652),x56653)),f331(f331(f114(x56651),x56652),x56653))
% 204.30/204.31 [5667]~P102(x56671)+E(f331(f331(f114(x56671),x56672),f331(f331(f114(x56671),x56672),x56673)),f331(f331(f114(x56671),x56672),x56673))
% 204.30/204.31 [5668]~P98(x56681)+E(f331(f331(f81(x56681),x56682),f331(f331(f81(x56681),x56682),x56683)),f331(f331(f81(x56681),x56682),x56683))
% 204.30/204.31 [5669]~P79(x56691)+E(f331(f331(f105(x56691),x56692),f331(f331(f105(x56691),x56692),x56693)),f331(f331(f105(x56691),x56692),x56693))
% 204.30/204.31 [5671]~P103(x56711)+E(f331(f331(f105(x56711),x56712),f331(f331(f105(x56711),x56712),x56713)),f331(f331(f105(x56711),x56712),x56713))
% 204.30/204.31 [5673]~P109(x56731)+E(f331(f331(f237(x56731),x56732),f331(f331(f237(x56731),x56732),x56733)),f331(f331(f237(x56731),x56732),x56733))
% 204.30/204.31 [5675]~P109(x56751)+E(f331(f331(f238(x56751),x56752),f331(f331(f238(x56751),x56752),x56753)),f331(f331(f238(x56751),x56752),x56753))
% 204.30/204.31 [5682]~P61(x56821)+E(f45(x56821,f331(f331(f80(x56821),x56822),x56823),x56823),f45(x56821,x56822,x56823))
% 204.30/204.31 [5683]~P61(x56831)+E(f45(x56831,f331(f331(f80(x56831),x56832),x56833),x56832),f45(x56831,x56833,x56832))
% 204.30/204.31 [5691]~P112(x56911)+E(f331(f331(f81(x56911),x56912),f331(f79(x56911),x56913)),f331(f79(x56911),f331(f331(f81(x56911),x56912),x56913)))
% 204.30/204.31 [5692]~P64(x56921)+E(f331(f331(f294(x56921),x56922),f331(f79(x56921),x56923)),f331(f79(x56921),f331(f331(f294(x56921),x56922),x56923)))
% 204.30/204.31 [5693]~P84(x56931)+E(f331(f331(f80(x56931),x56932),f331(f169(x56931),x56933)),f331(f169(x56931),f331(f331(f155(x56931),x56932),x56933)))
% 204.30/204.31 [5721]~P112(x57211)+E(f331(f331(f81(x57211),f331(f79(x57211),x57212)),x57213),f331(f331(f81(x57211),x57212),f331(f79(x57211),x57213)))
% 204.30/204.31 [5727]~P7(x57271,x57272,x57273)+E(f37(f935(x57271,a923),f331(f331(f60(x57271),x57272),x57273)),x57272)
% 204.30/204.31 [5792]~P117(x57921)+E(f331(f331(f81(x57921),x57922),f331(f331(f248(x57921),x57922),x57923)),f331(f331(f248(x57921),x57922),f331(a116,x57923)))
% 204.30/204.31 [5793]~P120(x57931)+E(f331(f331(f81(x57931),x57932),f331(f331(f248(x57931),x57932),x57933)),f331(f331(f248(x57931),x57932),f331(a116,x57933)))
% 204.30/204.31 [5803]~P76(x58031)+E(f331(f331(f80(x58031),f331(f79(x58031),x58032)),f331(f331(f80(x58031),x58032),x58033)),x58033)
% 204.30/204.31 [5826]~P147(x58261)+E(f331(f331(f248(x58261),f331(f104(x58261),x58262)),x58263),f331(f104(x58261),f331(f331(f248(a927),x58262),x58263)))
% 204.30/204.31 [5827]~P144(x58271)+E(f331(f331(f248(x58271),f331(f106(x58271),x58272)),x58273),f331(f106(x58271),f331(f331(f248(a1),x58272),x58273)))
% 204.30/204.31 [5833]~P88(x58331)+E(f331(f76(x58331),f331(f331(f23(x58331),x58332),x58333)),f331(f76(x58331),f331(f331(f23(x58331),x58333),x58332)))
% 204.30/204.31 [5835]~P114(x58351)+E(f331(f331(f81(x58351),f82(x58351,x58352)),f82(x58351,x58353)),f82(x58351,f331(f331(f81(x58351),x58352),x58353)))
% 204.30/204.31 [5839]E(x58391,f117(x58392))+E(f331(f331(f138(x58392),f331(f175(x58392),x58391)),x58393),f331(f175(x58392),f331(f331(f138(x58392),x58391),x58393)))
% 204.30/204.31 [5844]~E(x58442,f331(a116,f331(f331(f80(a927),x58441),x58443)))+P107(f331(f331(f240(a927),x58441),x58442))
% 204.30/204.31 [5845]~P114(x58451)+E(f331(f331(f248(x58451),f331(f76(x58451),x58452)),x58453),f331(f76(x58451),f331(f331(f248(x58451),x58452),x58453)))
% 204.30/204.31 [5846]~P112(x58461)+E(f331(f331(f81(x58461),f331(f79(x58461),x58462)),x58463),f331(f79(x58461),f331(f331(f81(x58461),x58462),x58463)))
% 204.30/204.31 [5847]~P124(x58471)+E(f331(f331(f294(x58471),f331(f79(x58471),x58472)),x58473),f331(f79(x58471),f331(f331(f294(x58471),x58472),x58473)))
% 204.30/204.31 [5945]E(f680(x59451,x59452,x59453),f681(x59451,x59452,x59453))+E(f331(f331(f105(f935(x59453,a923)),x59452),x59451),f192(f935(x59453,a923)))
% 204.30/204.31 [5960]~P72(x59602)+E(f331(f331(f6(x59601,x59602),f331(f16(x59602,x59601),f2(x59602))),x59603),f2(x59602))
% 204.30/204.31 [5961]~P71(x59612)+E(f331(f331(f9(x59611,x59612),f331(f16(x59612,x59611),f78(x59612))),x59613),f78(x59612))
% 204.30/204.31 [5963]~P147(x59631)+E(f331(f331(f81(x59631),f331(f104(x59631),x59632)),f331(f104(x59631),x59633)),f331(f104(x59631),f331(f331(f81(a927),x59632),x59633)))
% 204.30/204.31 [5964]~P147(x59641)+E(f331(f331(f80(x59641),f331(f104(x59641),x59642)),f331(f104(x59641),x59643)),f331(f104(x59641),f331(f331(f80(a927),x59642),x59643)))
% 204.30/204.31 [5965]~P144(x59651)+E(f331(f331(f23(x59651),f331(f106(x59651),x59652)),f331(f106(x59651),x59653)),f331(f106(x59651),f331(f331(f23(a1),x59652),x59653)))
% 204.30/204.31 [5966]~P144(x59661)+E(f331(f331(f81(x59661),f331(f106(x59661),x59662)),f331(f106(x59661),x59663)),f331(f106(x59661),f331(f331(f81(a1),x59662),x59663)))
% 204.30/204.31 [5967]~P144(x59671)+E(f331(f331(f80(x59671),f331(f106(x59671),x59672)),f331(f106(x59671),x59673)),f331(f106(x59671),f331(f331(f80(a1),x59672),x59673)))
% 204.30/204.31 [5968]~P95(x59681)+E(f331(f331(f23(x59681),f331(f107(x59681),x59682)),f331(f107(x59681),x59683)),f331(f107(x59681),f331(f331(f23(a1),x59682),x59683)))
% 204.30/204.31 [5971]~P95(x59711)+E(f331(f331(f81(x59711),f331(f107(x59711),x59712)),f331(f107(x59711),x59713)),f331(f107(x59711),f331(f331(f81(a1),x59712),x59713)))
% 204.30/204.31 [5972]~P95(x59721)+E(f331(f331(f80(x59721),f331(f107(x59721),x59722)),f331(f107(x59721),x59723)),f331(f107(x59721),f331(f331(f80(a1),x59722),x59723)))
% 204.30/204.31 [6020]~E(x60203,x60202)+P107(f331(f331(f239(f935(x60201,a923)),x60202),x60203))
% 204.30/204.31 [6026]~E(x60262,x60263)+P107(f331(f331(f239(f935(x60261,a923)),x60262),x60263))
% 204.30/204.31 [6031]~P114(x60311)+E(f331(f331(f81(x60311),f331(f76(x60311),x60312)),f331(f76(x60311),x60313)),f331(f76(x60311),f331(f331(f81(x60311),x60312),x60313)))
% 204.30/204.31 [6032]~P66(x60321)+E(f331(f331(f294(x60321),f331(f76(x60321),x60322)),f331(f76(x60321),x60323)),f331(f76(x60321),f331(f331(f294(x60321),x60322),x60323)))
% 204.30/204.31 [6033]~P97(x60331)+E(f331(f331(f105(x60331),f331(f79(x60331),x60332)),f331(f79(x60331),x60333)),f331(f79(x60331),f331(f331(f114(x60331),x60332),x60333)))
% 204.30/204.31 [6034]~P97(x60341)+E(f331(f331(f114(x60341),f331(f79(x60341),x60342)),f331(f79(x60341),x60343)),f331(f79(x60341),f331(f331(f105(x60341),x60342),x60343)))
% 204.30/204.31 [6035]~P76(x60351)+E(f331(f331(f80(x60351),f331(f79(x60351),x60352)),f331(f79(x60351),x60353)),f331(f79(x60351),f331(f331(f80(x60351),x60353),x60352)))
% 204.30/204.31 [6036]~P68(x60361)+E(f331(f331(f80(x60361),f331(f79(x60361),x60362)),f331(f79(x60361),x60363)),f331(f79(x60361),f331(f331(f80(x60361),x60362),x60363)))
% 204.30/204.31 [6037]~P77(x60371)+E(f331(f331(f238(x60371),f331(f79(x60371),x60372)),f331(f79(x60371),x60373)),f331(f79(x60371),f331(f331(f237(x60371),x60372),x60373)))
% 204.30/204.31 [6038]~P77(x60381)+E(f331(f331(f237(x60381),f331(f79(x60381),x60382)),f331(f79(x60381),x60383)),f331(f79(x60381),f331(f331(f238(x60381),x60382),x60383)))
% 204.30/204.31 [6039]~P84(x60391)+E(f331(f331(f80(x60391),f331(f169(x60391),x60392)),f331(f169(x60391),x60393)),f331(f169(x60391),f331(f331(f138(x60391),x60392),x60393)))
% 204.30/204.31 [6040]E(x60401,f192(f935(x60402,a923)))+~E(f331(f331(f114(f935(x60402,a923)),x60403),x60401),f192(f935(x60402,a923)))
% 204.30/204.31 [6041]E(x60411,f192(f935(x60412,a923)))+~E(f331(f331(f114(f935(x60412,a923)),x60411),x60413),f192(f935(x60412,a923)))
% 204.30/204.31 [6042]~P149(x60421,x60423,x60422)+P107(f331(x60421,f331(f331(f36(a1),x60422),x60423)))
% 204.30/204.31 [6098]~P107(f331(f61(x60981),x60983))+P107(f331(f61(x60981),f331(f331(f313(x60981),x60982),x60983)))
% 204.30/204.31 [6099]~P107(f331(f141(x60991),x60993))+P107(f331(f141(x60991),f331(f331(f179(x60991),x60992),x60993)))
% 204.30/204.31 [6100]~P107(f331(f141(x61001),x61003))+P107(f331(f141(x61001),f331(f331(f142(x61001),x61002),x61003)))
% 204.30/204.31 [6130]~P79(x61301)+P107(f331(f331(f239(x61301),x61302),f331(f331(f114(x61301),x61303),x61302)))
% 204.30/204.31 [6131]~P102(x61311)+P107(f331(f331(f239(x61311),x61312),f331(f331(f114(x61311),x61313),x61312)))
% 204.30/204.31 [6132]~P79(x61321)+P107(f331(f331(f239(x61321),x61322),f331(f331(f114(x61321),x61322),x61323)))
% 204.30/204.31 [6133]~P102(x61331)+P107(f331(f331(f239(x61331),x61332),f331(f331(f114(x61331),x61332),x61333)))
% 204.30/204.31 [6134]~P109(x61341)+P107(f331(f331(f239(x61341),x61342),f331(f331(f238(x61341),x61343),x61342)))
% 204.30/204.31 [6135]~P109(x61351)+P107(f331(f331(f239(x61351),x61352),f331(f331(f238(x61351),x61352),x61353)))
% 204.30/204.31 [6149]~E(x61491,f2(a927))+E(f331(f331(f36(a927),f331(f331(f81(a927),x61491),x61492)),f331(f331(f81(a927),x61491),x61493)),f2(a927))
% 204.30/204.31 [6217]P107(f331(x62171,x62172))+P107(f331(f331(f198(f29(x62171,x62173)),x62172),x62172))
% 204.30/204.31 [6232]~P95(x62321)+E(f331(f331(f23(x62321),f331(f107(x62321),x62322)),f331(f107(x62321),x62323)),f331(f107(x62321),f331(f331(f80(a1),x62322),f331(f79(a1),x62323))))
% 204.30/204.31 [6290]E(x62901,f2(a927))+E(f331(f331(f36(a927),f331(f331(f81(a927),x62901),x62902)),f331(f331(f81(a927),x62901),x62903)),f331(f331(f36(a927),x62902),x62903))
% 204.30/204.31 [6321]E(f156(x63211,f331(f331(f155(x63211),x63212),x63213)),f331(f331(f155(x63211),x63212),f156(x63211,x63213)))+P107(f331(f331(f333(x63211),x63212),f331(f176(x63211),x63213)))
% 204.30/204.31 [6358]P149(x63581,x63582,x63583)+~P107(f331(x63581,f331(f331(f36(a1),x63583),x63582)))
% 204.30/204.31 [6429]E(x64291,f117(x64292))+E(f331(f331(f155(x64292),f331(f145(x64292),x64291)),f331(f331(f179(x64292),x64293),f331(f175(x64292),x64291))),f331(f331(f179(x64292),f331(a116,x64293)),x64291))
% 204.30/204.31 [6437]E(f331(f331(f23(f935(x64371,a923)),x64372),x64373),x64372)+~E(f331(f331(f105(f935(x64371,a923)),x64372),x64373),f192(f935(x64371,a923)))
% 204.30/204.31 [6451]E(f156(x64511,f331(f331(f155(x64511),x64512),x64513)),f156(x64511,x64513))+~P107(f331(f331(f333(x64511),x64512),f331(f176(x64511),x64513)))
% 204.30/204.31 [6481]~P107(f331(f331(f239(a927),x64811),x64813))+P107(f331(f331(f239(a927),x64811),f331(f331(f80(a927),x64812),x64813)))
% 204.30/204.31 [6483]~P107(f331(f331(f239(a927),x64831),x64832))+P107(f331(f331(f239(a927),x64831),f331(f331(f80(a927),x64832),x64833)))
% 204.30/204.31 [6485]~P107(f331(f331(f240(a927),x64851),x64853))+P107(f331(f331(f240(a927),x64851),f331(f331(f80(a927),x64852),x64853)))
% 204.30/204.31 [6487]~P107(f331(f331(f240(a927),x64871),x64872))+P107(f331(f331(f240(a927),x64871),f331(f331(f80(a927),x64872),x64873)))
% 204.30/204.31 [6527]P107(f331(f61(x65271),x65272))+~P107(f331(f61(x65271),f331(f331(f313(x65271),x65273),x65272)))
% 204.30/204.31 [6528]P107(f331(f141(x65281),x65282))+~P107(f331(f141(x65281),f331(f331(f155(x65281),x65283),x65282)))
% 204.30/204.31 [6529]P107(f331(f141(x65291),x65292))+~P107(f331(f141(x65291),f331(f331(f138(x65291),x65293),x65292)))
% 204.30/204.31 [6530]P107(f331(f141(x65301),x65302))+~P107(f331(f141(x65301),f331(f331(f138(x65301),x65302),x65303)))
% 204.30/204.31 [6581]~P120(x65811)+E(f331(f331(f80(x65811),x65812),f331(f331(f81(x65811),x65813),x65812)),f331(f331(f81(x65811),f331(f331(f80(x65811),x65813),f78(x65811))),x65812))
% 204.30/204.31 [6627]~E(x66271,x66272)+~P107(f331(f331(f240(f935(x66273,a923)),x66271),x66272))
% 204.30/204.31 [6673]P107(f331(f331(f333(x66731),x66732),x66733))+P107(f331(f331(f333(x66731),x66732),f331(f79(f935(x66731,a923)),x66733)))
% 204.30/204.31 [6679]E(f148(x66791,f331(f331(f142(x66791),x66792),x66793)),f148(x66791,x66793))+~P107(f331(f331(f240(a927),x66792),f331(f193(f928(x66791)),x66793)))
% 204.30/204.31 [6680]E(f331(f331(f179(x66801),x66802),f118(x66801,x66803)),f331(f331(f179(x66801),x66802),x66803))+~P107(f331(f331(f240(a927),x66802),f331(f193(f928(x66801)),x66803)))
% 204.30/204.31 [6735]E(f331(f331(f331(f187(f928(x67351),f928(x67351)),x67352),f171(x67351)),x67353),x67353)+~E(f45(a927,x67352,f331(f193(f928(x67351)),x67353)),f2(a927))
% 204.30/204.31 [6742]~P7(x67421,x67423,x67422)+E(f331(f331(f293(x67421,x67421,x67421),f331(f290(x67421,x67421),x67422)),x67422),x67422)
% 204.30/204.31 [6784]~E(f331(f331(f114(f935(x67841,a923)),x67842),x67843),x67843)+P107(f331(f331(f239(f935(x67841,a923)),x67842),x67843))
% 204.30/204.31 [6789]~P55(x67891,x67891,x67893)+P55(x67891,x67891,f331(f331(f187(f934(x67891,x67891),a923),x67892),x67893))
% 204.30/204.31 [6792]~P107(f331(f331(f333(x67921),x67923),f331(f176(x67921),x67922)))+P107(f331(f331(f240(a927),f2(a927)),f331(f193(f928(x67921)),x67922)))
% 204.30/204.31 [6818]~P88(x68181)+E(f331(f76(x68181),f331(f331(f80(x68181),f331(f76(x68181),x68182)),f331(f76(x68181),x68183))),f331(f331(f80(x68181),f331(f76(x68181),x68182)),f331(f76(x68181),x68183)))
% 204.30/204.31 [6830]E(f331(f331(f36(a927),f331(f331(f81(a927),x68301),x68302)),f331(f331(f81(a927),x68301),x68303)),f331(f331(f36(a927),x68302),x68303))+~P107(f331(f331(f240(a927),f2(a927)),x68301))
% 204.30/204.31 [6967]~P107(f331(f61(x69671),x69673))+E(f331(f331(f64(x69671,f935(x69671,a923),f313(x69671)),x69672),x69673),f331(f331(f114(f935(x69671,a923)),x69673),x69672))
% 204.30/204.31 [7024]E(f331(f331(f114(f935(x70241,a923)),x70242),x70243),x70242)+~P107(f331(f331(f239(f935(x70241,a923)),x70243),x70242))
% 204.30/204.31 [7026]E(f331(f331(f114(f935(x70261,a923)),x70262),x70263),x70263)+~P107(f331(f331(f239(f935(x70261,a923)),x70262),x70263))
% 204.30/204.31 [7027]E(f331(f331(f105(f935(x70271,a923)),x70272),x70273),x70273)+~P107(f331(f331(f239(f935(x70271,a923)),x70273),x70272))
% 204.30/204.31 [7028]E(f331(f331(f105(f935(x70281,a923)),x70282),x70283),x70282)+~P107(f331(f331(f239(f935(x70281,a923)),x70282),x70283))
% 204.30/204.31 [7077]~P107(f331(f141(x70771),x70772))+E(f331(f331(f23(f935(x70771,a923)),f331(f176(x70771),x70772)),f331(f331(f313(x70771),x70773),f192(f935(x70771,a923)))),f331(f176(x70771),f174(x70771,x70773,x70772)))
% 204.30/204.31 [7129]P38(x71291,x71292)+~P38(x71291,f331(f331(f187(f934(x71291,x71291),a923),x71293),x71292))
% 204.30/204.31 [7197]P107(f331(f49(x71971,x71972),f331(a51,x71973)))+~P107(f331(f49(f331(f79(a1),x71971),f331(f79(a1),x71972)),x71973))
% 204.30/204.31 [7202]E(f331(f331(f23(f935(x72021,a923)),f331(f331(f313(x72021),x72022),x72023)),f331(f331(f313(x72021),x72022),f192(f935(x72021,a923)))),x72023)+P107(f331(f331(f333(x72021),x72022),x72023))
% 204.30/204.31 [7223]E(f331(f331(f105(f935(x72231,a923)),f331(f176(x72231),x72232)),f331(f176(x72231),x72233)),f192(f935(x72231,a923)))+~P107(f331(f141(x72231),f331(f331(f138(x72231),x72232),x72233)))
% 204.30/204.31 [7238]~P107(f331(f331(f333(x72381),x72382),f331(f176(x72381),x72383)))+~P107(f331(f141(x72381),f331(f331(f155(x72381),x72382),x72383)))
% 204.30/204.31 [7311]P32(x73111,x73112,x73113)+P107(f331(f331(f240(a927),f767(x73113,x73112,x73111)),f331(f193(f928(x73111)),x73113)))
% 204.30/204.31 [7321]E(f331(f331(f105(f935(x73211,a923)),x73212),x73213),f192(f935(x73211,a923)))+P107(f331(f331(f333(x73211),f680(x73213,x73212,x73211)),x73212))
% 204.30/204.31 [7322]E(f331(f331(f105(f935(x73221,a923)),x73222),x73223),f192(f935(x73221,a923)))+P107(f331(f331(f333(x73221),f681(x73223,x73222,x73221)),x73223))
% 204.30/204.31 [7325]E(f118(x73251,f331(f331(f179(x73251),x73252),x73253)),f331(f331(f179(x73251),f331(f331(f23(a927),x73252),f78(a927))),x73253))+~P107(f331(f331(f239(a927),x73252),f331(f193(f928(x73251)),x73253)))
% 204.30/204.31 [7385]~P34(x73853,x73852,x73851)+P107(f331(f331(f240(a927),f762(x73851,x73852,x73853)),f331(f193(f928(x73853)),x73851)))
% 204.30/204.31 [7403]P107(f331(f331(f240(a927),f2(a927)),x74031))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x74032),x74031)),f331(f331(f81(a927),x74033),x74031)))
% 204.30/204.31 [7404]P107(f331(f331(f240(a927),f2(a927)),x74041))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x74041),x74042)),f331(f331(f81(a927),x74041),x74043)))
% 204.30/204.31 [7407]~P107(f331(f331(f333(x74071),x74072),x74073))+~P107(f331(f331(f333(x74071),x74072),f331(f79(f935(x74071,a923)),x74073)))
% 204.30/204.31 [7413]~P107(f331(f331(f240(f935(x74131,a923)),x74132),x74133))+P107(f331(f331(f239(f935(x74131,a923)),x74132),x74133))
% 204.30/204.31 [7521]~P107(f331(f331(f239(a927),x75213),x75212))+P107(f331(f331(f239(a927),f331(f331(f23(a927),x75211),x75212)),f331(f331(f23(a927),x75211),x75213)))
% 204.30/204.31 [7522]~P107(f331(f331(f239(a927),x75221),x75223))+P107(f331(f331(f239(a927),f331(f331(f23(a927),x75221),x75222)),f331(f331(f23(a927),x75223),x75222)))
% 204.30/204.31 [7524]~P107(f331(f331(f239(a927),x75242),x75243))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x75241),x75242)),f331(f331(f81(a927),x75241),x75243)))
% 204.30/204.31 [7526]~P107(f331(f331(f239(a927),x75261),x75263))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x75261),x75262)),f331(f331(f81(a927),x75263),x75262)))
% 204.30/204.31 [7527]~P107(f331(f331(f239(a927),x75272),x75273))+P107(f331(f331(f239(a927),f331(f331(f80(a927),x75271),x75272)),f331(f331(f80(a927),x75271),x75273)))
% 204.30/204.31 [7528]~P107(f331(f331(f239(a927),x75281),x75283))+P107(f331(f331(f239(a927),f331(f331(f80(a927),x75281),x75282)),f331(f331(f80(a927),x75283),x75282)))
% 204.30/204.31 [7529]~P107(f331(f331(f239(a927),x75291),x75293))+P107(f331(f331(f239(a927),f331(f331(f36(a927),x75291),x75292)),f331(f331(f36(a927),x75293),x75292)))
% 204.30/204.31 [7530]~P107(f331(f331(f239(a1),x75302),x75303))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x75301),x75302)),f331(f331(f80(a1),x75301),x75303)))
% 204.30/204.31 [7533]~P107(f331(f331(f240(a927),x75332),x75333))+P107(f331(f331(f240(a927),f331(f331(f80(a927),x75331),x75332)),f331(f331(f80(a927),x75331),x75333)))
% 204.30/204.31 [7534]~P107(f331(f331(f240(a927),x75341),x75343))+P107(f331(f331(f240(a927),f331(f331(f80(a927),x75341),x75342)),f331(f331(f80(a927),x75343),x75342)))
% 204.30/204.31 [7535]~P107(f331(f331(f240(a1),x75351),x75353))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x75351),x75352)),f331(f331(f80(a1),x75353),x75352)))
% 204.30/204.31 [7612]E(x76121,x76122)+~P107(f331(f331(f333(x76123),x76121),f331(f331(f313(x76123),x76122),f192(f935(x76123,a923)))))
% 204.30/204.31 [7614]~E(f331(f331(f105(f935(x76141,a923)),x76142),x76143),f192(f935(x76141,a923)))+P107(f331(f331(f239(f935(x76141,a923)),x76142),f331(f79(f935(x76141,a923)),x76143)))
% 204.30/204.31 [7619]P107(f331(f331(f333(f935(x76191,a923)),x76192),f331(f312(x76191),x76193)))+~P107(f331(f331(f239(f935(x76191,a923)),x76192),x76193))
% 204.30/204.31 [7671]E(f331(f331(f155(x76711),f331(f331(f168(x76711),x76712),x76713)),f331(f331(f142(x76711),f331(a116,x76713)),x76712)),f331(f331(f142(x76711),x76713),x76712))+~P107(f331(f331(f240(a927),x76713),f331(f193(f928(x76711)),x76712)))
% 204.30/204.31 [7697]P107(f331(f331(f333(f934(x76971,x76971)),x76972),f311(x76971,x76973)))+~P107(f331(f331(f333(f934(x76971,x76971)),x76972),x76973))
% 204.30/204.31 [7707]~P107(f331(f331(f333(f935(x77071,a923)),x77072),f331(f312(x77071),x77073)))+P107(f331(f331(f239(f935(x77071,a923)),x77072),x77073))
% 204.30/204.31 [7751]P107(f331(f331(f239(f935(x77511,a923)),x77512),f37(f935(x77511,a923),x77513)))+~P107(f331(f331(f333(f935(x77511,a923)),x77512),x77513))
% 204.30/204.31 [7773]~P144(x77731)+E(f331(f331(f81(x77731),f331(f331(f248(x77731),f331(f79(x77731),f78(x77731))),x77732)),f331(f331(f248(x77731),x77733),x77732)),f331(f331(f248(x77731),f331(f79(x77731),x77733)),x77732))
% 204.30/204.31 [7795]E(f331(f331(f168(x77951),x77952),f331(f331(f23(a927),f331(f193(f928(x77951)),x77952)),f331(a116,x77953))),f331(f331(f168(x77951),f331(f172(x77951),x77952)),x77953))+~P107(f331(f331(f240(a927),x77953),f331(f193(f928(x77951)),x77952)))
% 204.30/204.31 [7812]~E(f331(f331(f105(f935(x78121,a923)),f894(x78123,x78122,x78121)),x78123),f192(f935(x78121,a923)))+E(f331(f331(f105(f935(x78121,a923)),f37(f935(x78121,a923),x78122)),x78123),f192(f935(x78121,a923)))
% 204.30/204.31 [7874]~P107(f331(f331(f333(x78743),x78742),f331(f176(x78743),x78741)))+P107(f331(f331(f240(a927),f642(x78741,x78742,x78743)),f331(f193(f928(x78743)),x78741)))
% 204.30/204.31 [7882]P107(f331(f331(f333(x78821),f331(f331(f168(x78821),x78822),x78823)),f331(f176(x78821),x78822)))+~P107(f331(f331(f240(a927),x78823),f331(f193(f928(x78821)),x78822)))
% 204.30/204.31 [7981]~P107(f331(x79812,f726(x79813,x79812,x79811)))+E(f331(f331(f142(x79811),f331(f193(f928(x79811)),f181(x79811,x79812,x79813))),x79813),f117(x79811))
% 204.30/204.31 [7994]P107(f331(f331(f239(f935(f928(x79941),a923)),f165(x79941,x79942)),f165(x79941,x79943)))+~P107(f331(f331(f239(f935(x79941,a923)),x79942),x79943))
% 204.30/204.31 [7995]P107(f331(f331(f239(f935(f928(x79951),a923)),f164(x79951,x79952)),f164(x79951,x79953)))+~P107(f331(f331(f239(f935(x79951,a923)),x79952),x79953))
% 204.30/204.31 [8023]E(f331(f331(f105(f935(x80231,a923)),f37(f935(x80231,a923),x80232)),x80233),f192(f935(x80231,a923)))+P107(f331(f331(f333(f935(x80231,a923)),f894(x80233,x80232,x80231)),x80232))
% 204.30/204.31 [8025]~P107(f331(f331(f333(f935(x80251,a923)),x80253),x80252))+P107(f331(f331(f239(f935(x80251,a923)),f38(f935(x80251,a923),x80252)),x80253))
% 204.30/204.31 [8027]E(f331(f331(f105(f935(x80271,a923)),x80272),x80273),f192(f935(x80271,a923)))+~P107(f331(f331(f239(f935(x80271,a923)),x80272),f331(f79(f935(x80271,a923)),x80273)))
% 204.30/204.31 [8076]E(f331(f331(f23(a927),f331(f331(f80(a927),f331(f169(a927),x80761)),x80762)),f331(f331(f168(a927),x80761),x80763)),f331(f169(a927),f331(f331(f163(a927,x80761),x80763),x80762)))+~P107(f331(f331(f240(a927),x80763),f331(f193(f928(a927)),x80761)))
% 204.30/204.31 [8127]P107(f331(f331(f239(a927),x81271),x81272))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x81273),x81271)),f331(f331(f80(a927),x81273),x81272)))
% 204.30/204.31 [8130]P107(f331(f331(f240(a927),x81301),x81302))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),x81303),x81301)),f331(f331(f80(a927),x81303),x81302)))
% 204.30/204.31 [8131]P107(f331(f331(f240(a927),x81311),x81312))+~P107(f331(f331(f240(a927),f331(f331(f81(a927),x81313),x81311)),f331(f331(f81(a927),x81313),x81312)))
% 204.30/204.31 [8132]P107(f331(f331(f240(a927),x81321),x81322))+~P107(f331(f331(f240(a927),f331(f331(f81(a927),x81321),x81323)),f331(f331(f81(a927),x81322),x81323)))
% 204.30/204.31 [8160]P107(f331(f331(f240(a927),f2(a927)),x81601))+~P107(f331(f331(f240(a927),f331(f331(f81(a927),x81602),x81601)),f331(f331(f81(a927),x81603),x81601)))
% 204.30/204.31 [8161]P107(f331(f331(f240(a927),f2(a927)),x81611))+~P107(f331(f331(f240(a927),f331(f331(f81(a927),x81611),x81612)),f331(f331(f81(a927),x81611),x81613)))
% 204.30/204.31 [8234]E(f251(x82341,x82342,x82343),x82342)+~P107(f331(f331(f239(f935(x82341,a923)),x82343),f331(f331(f313(x82341),x82342),f192(f935(x82341,a923)))))
% 204.30/204.31 [8290]~P107(f331(f141(x82901),x82903))+E(f331(f140(x82901,f331(f331(f8(a923,a923,x82901),a326),f331(a328,x82902))),x82903),f174(x82901,x82902,x82903))
% 204.30/204.31 [8315]E(f331(f331(f142(x83151),f331(f193(f928(x83151)),f181(x83151,x83152,x83153))),x83153),f117(x83151))+P107(f331(f331(f333(x83151),f726(x83153,x83152,x83151)),f331(f176(x83151),x83153)))
% 204.30/204.31 [8319]E(f331(f331(f138(x83191),f331(f331(f179(x83191),x83192),x83193)),f331(f331(f155(x83191),f331(f331(f168(x83191),x83193),x83192)),f117(x83191))),f331(f331(f179(x83191),f331(a116,x83192)),x83193))+~P107(f331(f331(f240(a927),x83192),f331(f193(f928(x83191)),x83193)))
% 204.30/204.31 [8382]E(f331(f140(x83821,f331(f331(f8(a923,a923,x83821),a326),f331(a328,x83822))),x83823),x83823)+P107(f331(f331(f333(x83821),x83822),f331(f176(x83821),x83823)))
% 204.30/204.31 [8388]P107(f331(f331(f239(f935(f935(x83881,a923),a923)),f252(x83881,x83882)),f252(x83881,x83883)))+~P107(f331(f331(f239(f935(x83881,a923)),x83882),x83883))
% 204.30/204.31 [8428]~P107(f331(f141(x84281),x84283))+P107(f331(f141(x84281),f331(f331(f331(f187(f928(x84281),f928(x84281)),x84282),f171(x84281)),x84283)))
% 204.30/204.31 [8434]~P107(f331(f331(f240(a927),x84342),x84343))+P107(f331(f331(f240(a927),f331(f331(f81(a927),f331(a116,x84341)),x84342)),f331(f331(f81(a927),f331(a116,x84341)),x84343)))
% 204.30/204.31 [8454]P107(f331(f331(f239(f935(f935(x84541,a923),a923)),f331(f312(x84541),x84542)),f331(f312(x84541),x84543)))+~P107(f331(f331(f239(f935(x84541,a923)),x84542),x84543))
% 204.30/204.31 [8523]~E(f331(f314(x85231,x85232,x85233),f246(f935(x85231,a923))),f246(f935(x85232,a923)))+E(f331(f73(x85231,x85232,x85232,x85233),f92(x85231,x85232,f246(f935(x85231,a923)),x85233)),f32(x85232))
% 204.30/204.31 [8617]~P107(f331(f331(f239(f935(x86171,a923)),x86173),x86172))+P107(f331(f331(f239(f935(x86171,a923)),f331(f79(f935(x86171,a923)),x86172)),f331(f79(f935(x86171,a923)),x86173)))
% 204.30/204.31 [8652]E(f331(f314(a927,a927,f331(f331(f7(a927,a927,a927),f23(a927)),x86521)),f331(f306(a927,x86522),x86523)),f331(f306(a927,f331(f331(f23(a927),x86522),x86521)),f331(f331(f23(a927),x86523),x86521)))+~P107(f331(f331(f240(a927),x86521),x86523))
% 204.30/204.31 [8679]~P84(x86791)+E(f331(f331(f80(x86791),x86792),f331(f146(x86791,x86791,f80(x86791),f2(x86791)),x86793)),f331(f146(x86791,x86791,f80(x86791),x86792),x86793))
% 204.30/204.31 [8764]~P88(x87641)+P107(f331(f331(f239(x87641),f331(f76(x87641),f331(f331(f23(x87641),x87642),x87643))),f331(f331(f80(x87641),f331(f76(x87641),x87642)),f331(f76(x87641),x87643))))
% 204.30/204.31 [8765]~P88(x87651)+P107(f331(f331(f239(x87651),f331(f76(x87651),f331(f331(f80(x87651),x87652),x87653))),f331(f331(f80(x87651),f331(f76(x87651),x87652)),f331(f76(x87651),x87653))))
% 204.30/204.31 [8776]E(f331(f331(f80(a1),f331(f331(f81(a1),x87761),f45(a1,f331(f331(f36(a1),x87762),x87761),x87763))),f45(a1,x87762,x87761)),f45(a1,x87762,f331(f331(f81(a1),x87761),x87763)))+~P107(f331(f331(f240(a1),f2(a1)),x87763))
% 204.30/204.31 [8782]E(f331(f331(f138(x87821),f331(f331(f179(x87821),x87822),x87823)),f331(f331(f155(x87821),f331(f145(x87821),f331(f331(f142(x87821),x87822),x87823))),f117(x87821))),f331(f331(f179(x87821),f331(a116,x87822)),x87823))+~P107(f331(f331(f240(a927),x87822),f331(f193(f928(x87821)),x87823)))
% 204.30/204.31 [8802]E(f331(f272(x88021,f331(f331(f158(x88021,f934(a103,x88021)),f331(f256(a103,x88021),f78(a103))),x88022)),f331(a3,x88023)),f331(f331(f168(x88021),x88022),x88023))+~P107(f331(f331(f240(a927),x88023),f331(f193(f928(x88021)),x88022)))
% 204.30/204.31 [8870]P107(f331(f331(f333(f934(x88701,x88701)),x88702),f331(f331(f293(x88701,x88701,x88701),x88703),f311(x88701,x88703))))+~P107(f331(f331(f333(f934(x88701,x88701)),x88702),x88703))
% 204.30/204.31 [8881]E(f331(f314(x88811,x88812,x88813),f246(f935(x88811,a923))),f246(f935(x88812,a923)))+~E(f331(f73(x88811,x88812,x88812,x88813),f92(x88811,x88812,f246(f935(x88811,a923)),x88813)),f32(x88812))
% 204.30/204.31 [8890]P107(f331(f331(f239(a927),x88901),x88902))+~P107(f331(f331(f239(a927),f331(f331(f81(a927),f331(a116,x88903)),x88901)),f331(f331(f81(a927),f331(a116,x88903)),x88902)))
% 204.30/204.31 [8906]P107(f331(f331(f239(f935(x89061,a923)),x89062),x89063))+~P107(f331(f331(f239(f935(x89061,a923)),f331(f79(f935(x89061,a923)),x89063)),f331(f79(f935(x89061,a923)),x89062)))
% 204.30/204.31 [8929]P107(f331(f141(x89291),x89292))+~P107(f331(f141(x89291),f331(f331(f331(f187(f928(x89291),f928(x89291)),x89293),f171(x89291)),x89292)))
% 204.30/204.31 [9002]E(f331(f289(x90021,x90021,f311(x90021,x90022)),x90023),x90023)+~P107(f331(f331(f239(f935(x90021,a923)),f331(f289(x90021,x90021,x90022),x90023)),x90023))
% 204.30/204.31 [9050]~P109(x90501)+P12(x90501,f331(f140(x90501,f331(f331(f7(x90501,x90501,a923),a328),f331(x90502,x90503))),x90503))
% 204.30/204.31 [9057]~P107(f331(f331(f239(a927),x90571),x90572))+P107(f331(f331(f239(a927),x90571),f331(f146(a927,a927,f80(a927),x90572),x90573)))
% 204.30/204.31 [9143]~P107(f331(f331(f333(f934(x91431,x91431)),x91432),f311(x91431,x91433)))+P107(f331(f331(f333(f934(x91431,x91431)),x91432),f331(f331(f187(f934(x91431,x91431),a923),f624(x91433,x91432,x91431)),x91433)))
% 204.30/204.31 [9227]~P84(x92271)+E(f331(f331(f80(x92271),x92272),f331(f146(x92271,x92271,f331(f7(x92271,x92271,x92271),f80(x92271)),f2(x92271)),f331(f172(x92271),x92273))),f331(f146(x92271,x92271,f80(x92271),x92272),x92273))
% 204.30/204.31 [9346]~P25(x93462,x93461,x93463,f246(f935(x93462,a923)),f246(f935(x93461,a923)))+E(f92(x93461,x93462,f246(f935(x93461,a923)),f92(x93462,x93461,f246(f935(x93462,a923)),x93463)),x93463)
% 204.30/204.31 [9501]P55(x95011,x95012,x95013)+P107(f331(f331(f333(f934(x95011,x95012)),f331(f331(f256(x95011,x95012),f616(x95013,x95012,x95011)),f602(x95013,x95012,x95011))),x95013))
% 204.30/204.31 [9502]P55(x95021,x95022,x95023)+P107(f331(f331(f333(f934(x95021,x95022)),f331(f331(f256(x95021,x95022),f616(x95023,x95022,x95021)),f601(x95023,x95022,x95021))),x95023))
% 204.30/204.31 [9573]~P107(f331(f331(f333(f934(x95731,x95731)),x95732),f331(f331(f293(x95731,x95731,x95731),x95733),f311(x95731,x95733))))+P107(f331(f331(f333(f934(x95731,x95731)),x95732),f331(f331(f187(f934(x95731,x95731),a923),f626(x95733,x95732,x95731)),x95733)))
% 204.30/204.31 [9574]~P107(f331(x95741,f331(f331(f168(x95742),x95743),f331(f193(f928(x95742)),f181(x95742,x95741,x95743)))))+~P107(f331(f331(f240(a927),f331(f193(f928(x95742)),f181(x95742,x95741,x95743))),f331(f193(f928(x95742)),x95743)))
% 204.30/204.31 [9665]~P107(f331(f331(f239(f935(x96651,a923)),x96652),x96653))+P107(f331(f331(f239(f935(x96651,a923)),f331(f331(f7(x96651,f935(x96651,a923),a923),f333(x96651)),x96652)),f331(f331(f7(x96651,f935(x96651,a923),a923),f333(x96651)),x96653)))
% 204.30/204.31 [9727]~P107(f331(f331(f333(f934(f935(x97271,a923),f935(x97271,a923))),f331(f331(f256(f935(x97271,a923),f935(x97271,a923)),x97272),x97273)),f318(x97271)))+P107(f331(f331(f240(f935(x97271,a923)),x97272),x97273))
% 204.30/204.31 [9755]P56(x97551,x97552,x97553)+~P107(f331(f331(f333(f934(x97551,x97551)),f331(f331(f256(x97551,x97551),f619(x97553,x97552,x97551)),f618(x97553,x97552,x97551))),x97553))
% 204.30/204.31 [9756]P56(x97561,x97562,x97563)+~P107(f331(f331(f333(f934(x97561,x97561)),f331(f331(f256(x97561,x97561),f618(x97563,x97562,x97561)),f619(x97563,x97562,x97561))),x97563))
% 204.30/204.31 [9794]~P107(f331(f331(f333(f934(f928(x97941),f928(x97941))),f331(f331(f256(f928(x97941),f928(x97941)),x97942),x97942)),f151(x97941,x97943)))+P107(f331(f331(f333(f934(x97941,x97941)),f331(f331(f256(x97941,x97941),f658(x97942,x97943,x97941)),f658(x97942,x97943,x97941))),x97943))
% 204.30/204.31 [9844]P107(f331(f331(f239(f935(x98441,a923)),x98442),x98443))+~P107(f331(f331(f239(f935(x98441,a923)),f331(f331(f7(x98441,f935(x98441,a923),a923),f333(x98441)),x98442)),f331(f331(f7(x98441,f935(x98441,a923),a923),f333(x98441)),x98443)))
% 204.30/204.31 [9925]E(f331(f331(f23(a927),f331(f331(f6(a927,a927),x99251),f331(f286(a927),x99252))),f331(f331(f6(a927,a927),x99253),f331(f286(a927),x99252))),f331(f331(f6(a927,a927),f331(f331(f18(a927,a927,a927),f331(f331(f8(a927,f935(a927,a927),a927),f23(a927)),x99251)),x99253)),f331(f286(a927),x99252)))+~P107(f331(f331(f239(a927),f331(x99253,f388(x99252,x99251,x99253))),f331(x99251,f388(x99252,x99251,x99253))))
% 204.30/204.31 [5881]~P76(x58811)+E(f331(f331(f23(x58811),f331(f331(f80(x58811),x58812),x58813)),x58813),x58812)
% 204.30/204.31 [5882]~P76(x58821)+E(f331(f331(f80(x58821),f331(f331(f23(x58821),x58822),x58823)),x58823),x58822)
% 204.30/204.31 [6107]~P76(x61071)+E(f331(f331(f80(x61071),x61072),f331(f331(f80(x61071),f331(f79(x61071),x61072)),x61073)),x61073)
% 204.30/204.31 [6191]~P83(x61911)+E(f331(f331(f81(x61911),f331(f331(f248(x61911),x61912),x61913)),x61912),f331(f331(f248(x61911),x61912),f331(a116,x61913)))
% 204.30/204.31 [6192]~P120(x61921)+E(f331(f331(f81(x61921),f331(f331(f248(x61921),x61922),x61923)),x61922),f331(f331(f248(x61921),x61922),f331(a116,x61923)))
% 204.30/204.31 [6413]~P114(x64131)+E(f331(f76(x64131),f331(f331(f248(x64131),f331(f79(x64131),x64132)),x64133)),f331(f76(x64131),f331(f331(f248(x64131),x64132),x64133)))
% 204.30/204.31 [6460]~P83(x64601)+E(f331(f331(f81(x64601),f331(f331(f248(x64601),x64602),x64603)),x64602),f331(f331(f81(x64601),x64602),f331(f331(f248(x64601),x64602),x64603)))
% 204.30/204.31 [6518]E(f331(f331(f23(a103),f331(f331(f80(a103),x65181),x65182)),x65183),f278(x65181,x65182,x65183))+~P107(f331(f331(f240(a103),x65182),x65183))
% 204.30/204.31 [6541]~E(f331(f331(f142(x65411),x65413),x65412),f117(x65411))+P107(f331(f331(f239(a927),f331(f193(f928(x65411)),x65412)),x65413))
% 204.30/204.31 [6678]E(f331(f331(f81(a927),f331(f107(a927),x66781)),f331(f331(f81(a927),f331(f107(a927),x66782)),x66783)),f2(a927))+~P107(f331(f331(f240(a1),x66781),a83))
% 204.30/204.31 [6694]~P64(x66941)+E(f331(f331(f248(x66941),f331(f331(f294(x66941),f78(x66941)),x66942)),x66943),f331(f331(f294(x66941),f78(x66941)),f331(f331(f248(x66941),x66942),x66943)))
% 204.30/204.31 [6771]E(f331(f331(f23(a927),f331(f331(f80(a927),x67711),x67712)),x67713),f331(f331(f23(a927),x67711),f331(f331(f23(a927),x67713),x67712)))+~P107(f331(f331(f239(a927),x67712),x67713))
% 204.30/204.31 [6773]E(f331(f331(f23(a927),f331(f331(f80(a927),x67731),x67732)),x67733),f331(f331(f80(a927),x67731),f331(f331(f23(a927),x67732),x67733)))+~P107(f331(f331(f239(a927),x67733),x67732))
% 204.30/204.31 [6809]~P79(x68091)+P107(f331(f331(f239(x68091),f331(f331(f105(x68091),x68092),x68093)),x68093))
% 204.30/204.31 [6810]~P103(x68101)+P107(f331(f331(f239(x68101),f331(f331(f105(x68101),x68102),x68103)),x68103))
% 204.30/204.31 [6811]~P79(x68111)+P107(f331(f331(f239(x68111),f331(f331(f105(x68111),x68112),x68113)),x68112))
% 204.30/204.31 [6812]~P103(x68121)+P107(f331(f331(f239(x68121),f331(f331(f105(x68121),x68122),x68123)),x68122))
% 204.30/204.31 [6813]~P109(x68131)+P107(f331(f331(f239(x68131),f331(f331(f237(x68131),x68132),x68133)),x68133))
% 204.30/204.31 [6814]~P109(x68141)+P107(f331(f331(f239(x68141),f331(f331(f237(x68141),x68142),x68143)),x68142))
% 204.30/204.31 [6829]E(f331(f331(f36(a1),f331(f331(f36(a1),x68291),x68292)),x68293),f331(f331(f36(a1),x68291),f331(f331(f81(a1),x68292),x68293)))+~P107(f331(f331(f240(a1),f2(a1)),x68293))
% 204.30/204.31 [6879]~P120(x68791)+E(f331(f331(f80(x68791),f331(f331(f81(x68791),x68792),x68793)),x68793),f331(f331(f81(x68791),f331(f331(f80(x68791),x68792),f78(x68791))),x68793))
% 204.30/204.31 [6880]~P95(x68801)+E(f331(f331(f81(x68801),f331(f79(x68801),f331(f107(x68801),x68802))),x68803),f331(f331(f81(x68801),f331(f107(x68801),f331(f79(a1),x68802))),x68803))
% 204.30/204.31 [6953]~P84(x69531)+E(f331(f169(x69531),f331(f331(f158(x69532,x69531),f331(f16(x69531,x69532),f2(x69531))),x69533)),f2(x69531))
% 204.30/204.31 [6968]E(f331(f331(f80(a927),f331(f107(a927),x69681)),f331(f331(f80(a927),f331(f107(a927),x69682)),x69683)),f331(f331(f80(a927),f331(f107(a927),x69682)),x69683))+~P107(f331(a197,f331(f107(a1),x69681)))
% 204.30/204.31 [6982]~P4(x69821)+E(f37(x69821,f331(f331(f313(x69821),x69822),f331(f331(f313(x69821),x69823),f192(f935(x69821,a923))))),f331(f331(f114(x69821),x69822),x69823))
% 204.30/204.31 [6983]~P4(x69831)+E(f38(x69831,f331(f331(f313(x69831),x69832),f331(f331(f313(x69831),x69833),f192(f935(x69831,a923))))),f331(f331(f105(x69831),x69832),x69833))
% 204.30/204.31 [7007]E(f331(f331(f179(x70071),x70072),x70073),x70073)+~P107(f331(f331(f239(a927),f331(f193(f928(x70071)),x70073)),x70072))
% 204.30/204.31 [7019]E(f331(f331(f142(x70191),x70192),x70193),f117(x70191))+~P107(f331(f331(f239(a927),f331(f193(f928(x70191)),x70193)),x70192))
% 204.30/204.31 [7030]E(f331(f331(f80(a927),f331(f331(f23(a927),x70301),x70302)),x70303),f331(f331(f23(a927),f331(f331(f80(a927),x70301),x70303)),x70302))+~P107(f331(f331(f239(a927),x70302),x70301))
% 204.30/204.31 [7044]~P107(f331(f331(f240(a927),x70441),x70443))+P107(f331(f331(f240(a927),f331(f331(f23(a927),x70441),x70442)),x70443))
% 204.30/204.31 [7071]~P109(x70711)+E(f174(x70711,x70712,f331(f331(f152(x70711,x70711,f5(x70711)),x70712),x70713)),x70713)
% 204.30/204.31 [7158]E(f331(f331(f23(a927),f331(f331(f80(a927),x71581),x71582)),f331(a116,x71583)),f331(f331(f23(a927),x71581),f331(a116,f331(f331(f23(a927),x71583),x71582))))+~P107(f331(f331(f239(a927),x71582),x71583))
% 204.30/204.31 [7159]~P114(x71591)+P107(f331(f331(f239(x71591),f2(x71591)),f331(f331(f248(x71591),f331(f76(x71591),x71592)),x71593)))
% 204.30/204.31 [7207]P23(x72071,x72072,x72073)+~P107(f331(f331(f239(f935(f926(x72071),a923)),x72073),x72072))
% 204.30/204.31 [7250]~P107(f331(f61(x72501),x72502))+P107(f331(f61(x72501),f331(f331(f23(f935(x72501,a923)),x72502),x72503)))
% 204.30/204.31 [7251]~P107(f331(f61(x72511),x72513))+P107(f331(f61(x72511),f331(f331(f105(f935(x72511,a923)),x72512),x72513)))
% 204.30/204.31 [7252]~P107(f331(f61(x72521),x72522))+P107(f331(f61(x72521),f331(f331(f105(f935(x72521,a923)),x72522),x72523)))
% 204.30/204.31 [7393]~P38(x73931,x73933)+P38(x73931,f331(f331(f105(f935(f934(x73931,x73931),a923)),x73932),x73933))
% 204.30/204.31 [7394]~P38(x73941,x73942)+P38(x73941,f331(f331(f105(f935(f934(x73941,x73941),a923)),x73942),x73943))
% 204.30/204.31 [7517]~P79(x75171)+E(f10(x75171,f331(f176(x75171),f331(f331(f155(x75171),x75172),x75173))),f331(f146(x75171,x75171,f114(x75171),x75172),x75173))
% 204.30/204.31 [7518]~P79(x75181)+E(f11(x75181,f331(f176(x75181),f331(f331(f155(x75181),x75182),x75183))),f331(f146(x75181,x75181,f105(x75181),x75182),x75183))
% 204.30/204.31 [7519]~P109(x75191)+E(f14(x75191,f331(f176(x75191),f331(f331(f155(x75191),x75192),x75193))),f331(f146(x75191,x75191,f237(x75191),x75192),x75193))
% 204.30/204.31 [7520]~P109(x75201)+E(f15(x75201,f331(f176(x75201),f331(f331(f155(x75201),x75202),x75203))),f331(f146(x75201,x75201,f238(x75201),x75202),x75203))
% 204.30/204.31 [7580]~P107(f331(f61(x75801),x75802))+P107(f331(f331(f239(a927),f331(f35(x75801),x75802)),f331(f35(x75801),f331(f331(f313(x75801),x75803),x75802))))
% 204.30/204.31 [7587]E(f331(f331(f114(f935(a927,a923)),f331(f306(a927,x75871),x75872)),f331(f306(a927,x75872),f331(f331(f80(a927),x75872),x75873))),f331(f306(a927,x75871),f331(f331(f80(a927),x75872),x75873)))+~P107(f331(f331(f239(a927),x75871),x75872))
% 204.30/204.31 [7596]P107(f331(f331(f239(a927),x75961),x75962))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x75963),x75961)),x75962))
% 204.30/204.31 [7597]P107(f331(f331(f239(a927),x75971),x75972))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x75971),x75973)),x75972))
% 204.30/204.31 [7598]P107(f331(f331(f240(a927),x75981),x75982))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),x75981),x75983)),x75982))
% 204.30/204.31 [7638]~P109(x76381)+E(f12(x76381,f238(x76381),f331(f176(x76381),f331(f331(f155(x76381),x76382),x76383))),f331(f146(x76381,x76381,f238(x76381),x76382),x76383))
% 204.30/204.31 [7639]~P109(x76391)+E(f13(x76391,f237(x76391),f331(f176(x76391),f331(f331(f155(x76391),x76392),x76393))),f331(f146(x76391,x76391,f237(x76391),x76392),x76393))
% 204.30/204.31 [7643]~E(x76432,f192(f935(f934(x76431,x76431),a923)))+P107(f331(f331(f239(f935(f934(x76431,x76431),a923)),x76432),x76433))
% 204.30/204.31 [7746]E(f331(f331(f114(f935(x77461,a923)),x77462),f331(f331(f23(f935(x77461,a923)),x77463),x77462)),x77463)+~P107(f331(f331(f239(f935(x77461,a923)),x77462),x77463))
% 204.30/204.31 [7747]~P107(f331(f331(f239(a927),x77471),f331(f331(f80(a927),x77473),x77472)))+P107(f331(f331(f239(a927),f331(f331(f23(a927),x77471),x77472)),x77473))
% 204.30/204.31 [7748]~P107(f331(f331(f240(a927),x77481),f331(f331(f23(a927),x77483),x77482)))+P107(f331(f331(f240(a927),f331(f331(f80(a927),x77481),x77482)),x77483))
% 204.30/204.31 [7802]E(x78021,f117(x78022))+E(f331(f145(x78022),f331(f331(f331(f187(f928(x78022),f928(x78022)),x78023),f171(x78022)),x78021)),f331(f331(f168(x78022),x78021),f45(a927,x78023,f331(f193(f928(x78022)),x78021))))
% 204.30/204.31 [7811]E(f331(f331(f313(x78111),x78112),f331(f331(f23(f935(x78111,a923)),x78113),f331(f331(f313(x78111),x78112),f192(f935(x78111,a923))))),x78113)+~P107(f331(f331(f333(x78111),x78112),x78113))
% 204.30/204.31 [7972]P107(f331(f331(f239(a927),x79721),f331(f331(f80(a927),x79722),x79723)))+~P107(f331(f331(f239(a927),f331(f331(f23(a927),x79721),x79723)),x79722))
% 204.30/204.31 [7973]P107(f331(f331(f240(a927),x79731),f331(f331(f23(a927),x79732),x79733)))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),x79731),x79733)),x79732))
% 204.30/204.31 [7998]P107(f331(f61(x79981),x79982))+~P107(f331(f61(x79981),f331(f331(f114(f935(x79981,a923)),x79983),x79982)))
% 204.30/204.31 [7999]P107(f331(f61(x79991),x79992))+~P107(f331(f61(x79991),f331(f331(f114(f935(x79991,a923)),x79992),x79993)))
% 204.30/204.31 [8075]~P47(x80751,x80753)+P107(f331(f331(f333(f934(x80751,x80751)),f331(f331(f256(x80751,x80751),x80752),x80752)),x80753))
% 204.30/204.31 [8207]E(f331(f331(f168(a927),f143(a927,f331(f306(a927,x82071),x82072))),x82073),f331(f331(f80(a927),x82071),x82073))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),x82071),x82073)),x82072))
% 204.30/204.31 [8279]E(f331(f331(f179(a927),x82791),f143(a927,f331(f306(a927,x82792),x82793))),f143(a927,f331(f306(a927,x82792),f331(f331(f80(a927),x82792),x82791))))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x82792),x82791)),x82793))
% 204.30/204.31 [8335]~P95(x83351)+E(f331(f331(f248(x83351),x83352),f331(f107(a927),f331(f331(f80(a1),x83353),x83353))),f331(f331(f86(x83351,x83351),f331(f331(f248(x83351),x83352),f331(f107(a927),x83353))),f331(f331(f18(x83351,x83351,x83351),f81(x83351)),f5(x83351))))
% 204.30/204.31 [8598]E(f331(f331(f138(x85981),f331(f331(f179(x85981),x85982),x85983)),f331(f331(f155(x85981),f331(f331(f168(x85981),x85983),x85982)),f331(f331(f142(x85981),f331(a116,x85982)),x85983))),x85983)+~P107(f331(f331(f240(a927),x85982),f331(f193(f928(x85981)),x85983)))
% 204.30/204.31 [8605]P107(f331(f331(f239(f935(x86051,a923)),f319(x86051,x86052)),f319(x86051,x86053)))+~P107(f331(f331(f239(f935(x86051,f935(x86051,a923))),x86053),x86052))
% 204.30/204.31 [8606]~P56(x86061,x86062,x86063)+P56(x86061,x86062,f331(f331(f23(f935(f934(x86061,x86061),a923)),x86063),f311(x86061,f192(f935(f934(x86061,x86061),a923)))))
% 204.30/204.31 [8625]P107(f331(f331(f239(f935(x86251,a923)),f320(x86251,x86252)),f320(x86251,x86253)))+~P107(f331(f331(f239(f935(f934(x86251,x86251),a923)),x86253),x86252))
% 204.30/204.31 [8632]~P128(x86321)+P107(f331(f331(f239(x86321),f2(x86321)),f331(f331(f80(x86321),f331(f331(f81(x86321),x86322),x86322)),f331(f331(f81(x86321),x86323),x86323))))
% 204.30/204.31 [8667]P107(f331(f331(f239(f935(x86671,a923)),f331(f285(x86671),x86672)),f331(f285(x86671),x86673)))+~P107(f331(f331(f239(f935(f934(x86671,x86671),a923)),x86672),x86673))
% 204.30/204.31 [8700]~P54(x87001,x87002)+~P107(f331(f331(f333(f934(x87001,x87001)),f331(f331(f256(x87001,x87001),x87003),x87003)),x87002))
% 204.30/204.31 [8702]~P38(x87021,x87022)+~P107(f331(f331(f333(f934(x87021,x87021)),f331(f331(f256(x87021,x87021),x87023),x87023)),x87022))
% 204.30/204.31 [8766]P107(f331(f331(f239(f935(x87661,a923)),f37(f935(x87661,a923),x87662)),f37(f935(x87661,a923),x87663)))+~P107(f331(f331(f239(f935(f935(x87661,a923),a923)),x87662),x87663))
% 204.30/204.31 [8767]P107(f331(f331(f239(f935(x87671,a923)),f38(f935(x87671,a923),x87672)),f38(f935(x87671,a923),x87673)))+~P107(f331(f331(f239(f935(f935(x87671,a923),a923)),x87673),x87672))
% 204.30/204.31 [8821]~P7(x88211,x88213,x88212)+P107(f331(f331(f239(f935(f934(x88211,x88211),a923)),x88212),f331(f331(f258(x88211,x88211),x88213),f331(f16(f935(x88211,a923),x88211),x88213))))
% 204.30/204.31 [8822]~P53(x88221,x88223,x88222)+P107(f331(f331(f239(f935(f934(x88221,x88221),a923)),x88222),f331(f331(f258(x88221,x88221),x88223),f331(f16(f935(x88221,a923),x88221),x88223))))
% 204.30/204.31 [8871]~P88(x88711)+P107(f331(f331(f239(x88711),f331(f331(f23(x88711),f331(f76(x88711),x88712)),f331(f76(x88711),x88713))),f331(f76(x88711),f331(f331(f23(x88711),x88713),x88712))))
% 204.30/204.31 [8872]~P88(x88721)+P107(f331(f331(f239(x88721),f331(f331(f23(x88721),f331(f76(x88721),x88722)),f331(f76(x88721),x88723))),f331(f76(x88721),f331(f331(f23(x88721),x88722),x88723))))
% 204.30/204.31 [8904]P107(f331(f331(f239(f935(f934(x89041,x89041),a923)),f311(x89041,x89042)),f311(x89041,x89043)))+~P107(f331(f331(f239(f935(f934(x89041,x89041),a923)),x89042),x89043))
% 204.30/204.31 [9015]~P24(x90152,x90151,x90153,f246(f935(x90152,a923)))+E(f331(f73(x90151,x90152,x90152,f92(x90152,x90151,f246(f935(x90152,a923)),x90153)),x90153),f32(x90152))
% 204.30/204.31 [9075]P56(x90751,x90752,x90753)+~P56(x90751,x90752,f331(f331(f23(f935(f934(x90751,x90751),a923)),x90753),f311(x90751,f192(f935(f934(x90751,x90751),a923)))))
% 204.30/204.31 [9095]P107(f331(f331(f239(f935(f934(f928(x90951),f928(x90951)),a923)),f161(x90951,x90952)),f161(x90951,x90953)))+~P107(f331(f331(f239(f935(f934(x90951,x90951),a923)),x90952),x90953))
% 204.30/204.31 [9096]P107(f331(f331(f239(f935(f934(f928(x90961),f928(x90961)),a923)),f162(x90961,x90962)),f162(x90961,x90963)))+~P107(f331(f331(f239(f935(f934(x90961,x90961),a923)),x90962),x90963))
% 204.30/204.31 [9117]~P53(x91171,x91173,x91172)+P107(f331(f331(f239(f935(f934(x91171,x91171),a923)),x91172),f331(f331(f293(x91171,x91171,x91171),f331(f290(x91171,x91171),x91172)),x91172)))
% 204.30/204.31 [9169]~P107(f331(f141(x91691),x91692))+E(f331(f140(x91691,f331(f331(f7(x91691,f935(x91691,a923),a923),f333(x91691)),f331(f176(x91691),f180(x91691,x91692,x91693)))),x91692),f180(x91691,x91692,x91693))
% 204.30/204.31 [9225]E(x92251,x92252)+~P107(f331(f331(f333(f934(x92253,x92253)),f331(f331(f256(x92253,x92253),x92251),x92252)),f311(x92253,f192(f935(f934(x92253,x92253),a923)))))
% 204.30/204.31 [9309]P107(f331(f331(f333(x93091),x93092),f320(x93091,x93093)))+P107(f331(f331(f333(f934(x93091,x93091)),f331(f331(f256(x93091,x93091),f541(x93093,x93092,x93091)),x93092)),x93093))
% 204.30/204.31 [9310]P107(f331(f331(f333(x93101),x93102),f320(x93101,x93103)))+P107(f331(f331(f333(f934(x93101,x93101)),f331(f331(f256(x93101,x93101),f603(x93103,x93102,x93101)),x93102)),x93103))
% 204.30/204.31 [9311]P107(f331(f331(f333(x93111),x93112),f320(x93111,x93113)))+P107(f331(f331(f333(f934(x93111,x93111)),f331(f331(f256(x93111,x93111),f606(x93113,x93112,x93111)),x93112)),x93113))
% 204.30/204.31 [9347]P24(x93471,x93472,x93473,f246(f935(x93471,a923)))+~E(f331(f73(x93472,x93471,x93471,f92(x93471,x93472,f246(f935(x93471,a923)),x93473)),x93473),f32(x93471))
% 204.30/204.31 [9401]~P107(f331(f331(f333(f928(x94011)),x94013),f165(x94011,x94012)))+P107(f331(f164(x94011,f331(f331(f7(x94011,f935(x94011,a923),a923),f333(x94011)),x94012)),x94013))
% 204.30/204.31 [9425]P107(f331(x94253,x94252))+E(f331(f266(x94251),f331(f331(f18(x94251,a923,a923),f331(f331(f8(a923,f935(a923,a923),x94251),a329),f331(a328,x94252))),x94253)),f192(f935(x94251,a923)))
% 204.30/204.31 [9442]~P88(x94421)+P107(f331(f331(f239(x94421),f331(f76(x94421),f331(f331(f23(x94421),f331(f76(x94421),x94422)),f331(f76(x94421),x94423)))),f331(f76(x94421),f331(f331(f23(x94421),x94422),x94423))))
% 204.30/204.31 [9456]~P107(f331(x94563,x94562))+E(f331(f266(x94561),f331(f331(f18(x94561,a923,a923),f331(f331(f8(a923,f935(a923,a923),x94561),a329),f331(a328,x94562))),x94563)),f331(f331(f313(x94561),x94562),f192(f935(x94561,a923))))
% 204.30/204.31 [9463]~P107(f331(f331(f333(f935(x94631,a923)),x94633),f331(f312(x94631),x94632)))+P107(f331(f252(x94631,f331(f331(f7(x94631,f935(x94631,a923),a923),f333(x94631)),x94632)),x94633))
% 204.30/204.31 [9500]P38(x95001,x95002)+P107(f331(f331(f333(f934(x95001,x95001)),f331(f331(f256(x95001,x95001),f331(f549(x95002,x95001),f331(a116,x95003))),f331(f549(x95002,x95001),x95003))),x95002))
% 204.30/204.31 [9644]P107(f331(f331(f333(f928(x96441)),x96442),f165(x96441,x96443)))+~P107(f331(f164(x96441,f331(f331(f7(x96441,f935(x96441,a923),a923),f333(x96441)),x96443)),x96442))
% 204.30/204.31 [9657]P107(f331(f331(f333(f935(x96571,a923)),x96572),f331(f312(x96571),x96573)))+~P107(f331(f252(x96571,f331(f331(f7(x96571,f935(x96571,a923),a923),f333(x96571)),x96573)),x96572))
% 204.30/204.31 [9722]P107(f331(f331(f333(x97221),f331(f272(x97221,x97222),x97223)),f331(f176(x97221),f331(f331(f158(f934(a103,x97221),x97221),f260(a103,x97221)),x97222))))+~P107(f331(f331(f240(a103),x97223),f331(f169(a103),f331(f331(f158(f934(a103,x97221),a103),f255(a103,x97221)),x97222))))
% 204.30/204.31 [9773]P107(f331(f331(f239(f935(f934(f928(x97731),f928(x97731)),a923)),f162(x97731,x97732)),f331(f331(f258(f928(x97731),f928(x97731)),f165(x97731,x97733)),f331(f16(f935(f928(x97731),a923),f928(x97731)),f165(x97731,x97733)))))+~P107(f331(f331(f239(f935(f934(x97731,x97731),a923)),x97732),f331(f331(f258(x97731,x97731),x97733),f331(f16(f935(x97731,a923),x97731),x97733))))
% 204.30/204.31 [9797]P107(f331(f331(f333(x97971),f331(f255(x97971,f934(a103,a103)),f331(f270(x97971,x97972),x97973))),f331(f176(x97971),f331(f331(f158(f934(a103,x97971),x97971),f260(a103,x97971)),x97972))))+~P107(f331(f331(f240(a103),f2(a103)),f331(f169(a103),f331(f331(f158(f934(a103,x97971),a103),f255(a103,x97971)),x97972))))
% 204.30/204.31 [9812]~P107(f331(f331(f239(f935(f934(x98121,x98121),a923)),x98122),f331(f331(f258(x98121,x98121),x98123),f331(f16(f935(x98121,a923),x98121),x98123))))+P107(f331(f331(f239(f935(f934(x98121,x98121),a923)),f331(f331(f293(x98121,x98121,x98121),x98122),f311(x98121,x98122))),f331(f331(f258(x98121,x98121),x98123),f331(f16(f935(x98121,a923),x98121),x98123))))
% 204.30/204.31 [10111]~P38(x101111,x101112)+~P107(f331(f331(f333(f934(x101111,x101111)),f331(f331(f256(x101111,x101111),f331(x101113,f331(a116,f550(x101112,x101111,x101113)))),f331(x101113,f550(x101112,x101111,x101113)))),x101112))
% 204.30/204.31 [10112]~P38(x101121,x101122)+~P107(f331(f331(f333(f934(x101121,x101121)),f331(f331(f256(x101121,x101121),f331(x101123,f331(a116,f611(x101123,x101122,x101121)))),f331(x101123,f611(x101123,x101122,x101121)))),x101122))
% 204.30/204.31 [10359]P107(f331(f331(f239(f935(f934(f935(x103591,a923),f935(x103591,a923)),a923)),f331(f331(f293(f935(x103591,a923),f935(x103591,a923),f935(x103591,a923)),f322(x103591,x103592)),f331(f331(f114(f935(f934(f935(x103591,a923),f935(x103591,a923)),a923)),f322(x103591,x103593)),f331(f331(f313(f934(f935(x103591,a923),f935(x103591,a923))),f331(f331(f256(f935(x103591,a923),f935(x103591,a923)),f192(f935(x103591,a923))),f192(f935(x103591,a923)))),f192(f935(f934(f935(x103591,a923),f935(x103591,a923)),a923)))))),f322(x103591,x103592)))+~P107(f331(f331(f239(f935(f934(x103591,x103591),a923)),f331(f331(f293(x103591,x103591,x103591),x103592),x103593)),x103592))
% 204.30/204.31 [10360]P107(f331(f331(f239(f935(f934(f935(x103601,a923),f935(x103601,a923)),a923)),f331(f331(f293(f935(x103601,a923),f935(x103601,a923),f935(x103601,a923)),f324(x103601,x103602)),f331(f331(f114(f935(f934(f935(x103601,a923),f935(x103601,a923)),a923)),f324(x103601,x103603)),f331(f331(f313(f934(f935(x103601,a923),f935(x103601,a923))),f331(f331(f256(f935(x103601,a923),f935(x103601,a923)),f192(f935(x103601,a923))),f192(f935(x103601,a923)))),f192(f935(f934(f935(x103601,a923),f935(x103601,a923)),a923)))))),f324(x103601,x103602)))+~P107(f331(f331(f239(f935(f934(x103601,x103601),a923)),f331(f331(f293(x103601,x103601,x103601),x103602),x103603)),x103602))
% 204.30/204.31 [7516]~P107(f331(f331(f239(a927),x75162),x75161))+E(f331(f331(f23(a927),f331(a116,f331(f331(f23(a927),x75161),x75162))),x75163),f331(f331(f23(a927),f331(a116,x75161)),f331(f331(f80(a927),x75162),x75163)))
% 204.30/204.31 [7555]~P61(x75551)+E(f331(f331(f80(x75551),f45(x75551,x75552,x75553)),f331(f331(f81(x75551),f331(f331(f36(x75551),x75552),x75553)),x75553)),x75552)
% 204.30/204.31 [7752]E(f331(f331(f81(a927),f331(f107(a927),x77521)),f331(f331(f81(a927),f331(f107(a927),x77522)),x77523)),f331(f331(f81(a927),f331(f107(a927),f331(f331(f81(a1),x77521),x77522))),x77523))+P107(f331(f331(f240(a1),x77521),a83))
% 204.30/204.31 [8216]~P107(f331(f331(f239(a927),x82163),x82162))+P107(f331(f331(f239(a927),x82161),f331(f331(f23(a927),f331(f331(f80(a927),x82162),x82161)),x82163)))
% 204.30/204.31 [8419]~P107(f331(f331(f239(a927),x84191),x84192))+E(f331(f331(f138(a927),f143(a927,f331(f306(a927,x84191),x84192))),f143(a927,f331(f306(a927,x84192),f331(f331(f80(a927),x84192),x84193)))),f143(a927,f331(f306(a927,x84191),f331(f331(f80(a927),x84192),x84193))))
% 204.30/204.31 [8676]~P107(f331(f61(x86761),x86762))+E(f331(a116,f331(f35(x86761),f331(f331(f23(f935(x86761,a923)),x86762),f331(f331(f313(x86761),x86763),f192(f935(x86761,a923)))))),f331(f35(x86761),f331(f331(f313(x86761),x86763),x86762)))
% 204.30/204.31 [8721]~P107(f331(f61(x87211),x87212))+E(f331(f331(f80(a927),f78(a927)),f331(f35(x87211),f331(f331(f23(f935(x87211,a923)),x87212),f331(f331(f313(x87211),x87213),f192(f935(x87211,a923)))))),f331(f35(x87211),f331(f331(f313(x87211),x87213),x87212)))
% 204.30/204.31 [8913]E(f331(f331(f23(a927),f331(f35(x89131),x89132)),f331(f35(x89131),f331(f331(f105(f935(x89131,a923)),x89132),x89133))),f331(f35(x89131),f331(f331(f23(f935(x89131,a923)),x89132),x89133)))+~P107(f331(f61(x89131),f331(f331(f105(f935(x89131,a923)),x89132),x89133)))
% 204.30/204.31 [9164]~P5(f331(x91642,f454(x91642,x91643,x91641)))+E(f331(f104(a1),f331(f331(f6(x91641,a927),f331(f331(f8(a1,a927,x91641),a108),x91642)),x91643)),f331(f331(f6(x91641,a1),x91642),x91643))
% 204.30/204.31 [9165]~P5(f331(x91652,f455(x91652,x91653,x91651)))+E(f331(f104(a1),f331(f331(f9(x91651,a927),f331(f331(f8(a1,a927,x91651),a108),x91652)),x91653)),f331(f331(f9(x91651,a1),x91652),x91653))
% 204.30/204.31 [9207]~P107(f331(f61(x92071),x92073))+P107(f331(f331(f239(a927),f331(f331(f23(a927),f331(f35(x92071),x92072)),f331(f35(x92071),x92073))),f331(f35(x92071),f331(f331(f23(f935(x92071,a923)),x92072),x92073))))
% 204.30/204.31 [9235]P107(f331(f331(f333(x92351),f454(x92352,x92353,x92351)),x92353))+E(f331(f104(a1),f331(f331(f6(x92351,a927),f331(f331(f8(a1,a927,x92351),a108),x92352)),x92353)),f331(f331(f6(x92351,a1),x92352),x92353))
% 204.30/204.31 [9236]P107(f331(f331(f333(x92361),f455(x92362,x92363,x92361)),x92363))+E(f331(f104(a1),f331(f331(f9(x92361,a927),f331(f331(f8(a1,a927,x92361),a108),x92362)),x92363)),f331(f331(f9(x92361,a1),x92362),x92363))
% 204.30/204.31 [9301]E(f85(x93011,f331(f331(f7(x93011,f935(x93011,a923),a923),f333(x93011)),f331(f331(f23(f935(x93011,a923)),x93012),f331(f331(f313(x93011),x93013),f192(f935(x93011,a923)))))),f251(x93011,x93013,x93012))+P107(f331(f331(f239(f935(x93011,a923)),x93012),f331(f331(f313(x93011),x93013),f192(f935(x93011,a923)))))
% 204.30/204.31 [9658]E(f331(f331(f158(f928(x96581),x96581),f331(f331(f7(f928(x96581),a927,x96581),f168(x96581)),x96582)),f331(f140(f928(x96581),f331(f331(f8(a927,a923,f928(x96581)),f331(f240(a927),x96582)),f193(f928(x96581)))),x96583)),f331(f331(f168(f928(x96581)),f183(x96581,x96583)),x96582))+~P107(f331(f331(f240(a927),x96582),f331(f193(f928(f928(x96581))),f183(x96581,x96583))))
% 204.30/204.31 [9745]E(f331(f140(x97451,x97452),x97453),f181(x97451,x97452,x97453))+P107(f331(f331(f333(x97451),f730(x97453,x97452,x97451)),f331(f176(x97451),f331(f331(f142(x97451),f331(f193(f928(x97451)),f181(x97451,x97452,x97453))),x97453))))
% 204.30/204.31 [9885]E(f331(f331(f142(x98851),f331(f193(f928(x98851)),f181(x98851,x98852,x98853))),x98853),f117(x98851))+~P107(f331(x98852,f331(f145(x98851),f331(f331(f142(x98851),f331(f193(f928(x98851)),f181(x98851,x98852,x98853))),x98853))))
% 204.30/204.31 [9977]~P107(f331(f331(f333(f934(x99771,x99771)),x99772),f311(x99771,x99773)))+P107(f331(f331(f333(f934(x99771,x99771)),x99772),f331(f331(f39(a927,f935(f934(x99771,x99771),a923)),f246(f935(a927,a923))),f331(f331(f7(a927,f935(f934(x99771,x99771),a923),f935(f934(x99771,x99771),a923)),f187(f934(x99771,x99771),a923)),x99773))))
% 204.30/204.31 [10037]~P107(f331(f331(f239(f935(x100371,a923)),f331(f331(f39(a927,f935(x100371,a923)),f331(f306(a927,f2(a927)),f435(x100373,x100372,x100371))),x100372)),x100373))+P107(f331(f331(f239(f935(x100371,a923)),f331(f331(f39(a927,f935(x100371,a923)),f246(f935(a927,a923))),x100372)),x100373))
% 204.30/204.31 [10084]~P107(f331(f331(f240(a1),f2(a1)),x100843))+P107(f331(f331(f240(a1),x100841),f331(f331(f80(a1),x100842),f331(f331(f81(a1),f331(f331(f80(a1),f331(f76(a1),f331(f331(f23(a1),x100842),x100841))),f78(a1))),x100843))))
% 204.30/204.31 [10098]~P38(x100981,f331(f331(f114(f935(f934(x100981,x100981),a923)),x100982),x100983))+P38(x100981,f331(f331(f114(f935(f934(x100981,x100981),a923)),f331(f331(f114(f935(f934(x100981,x100981),a923)),f331(f331(f293(x100981,x100981,x100981),x100982),x100982)),f331(f331(f293(x100981,x100981,x100981),x100983),x100982))),x100983))
% 204.30/204.31 [10173]P38(x101731,f331(f331(f114(f935(f934(x101731,x101731),a923)),x101732),x101733))+~P38(x101731,f331(f331(f114(f935(f934(x101731,x101731),a923)),f331(f331(f114(f935(f934(x101731,x101731),a923)),f331(f331(f293(x101731,x101731,x101731),x101732),x101732)),f331(f331(f293(x101731,x101731,x101731),x101733),x101732))),x101733))
% 204.30/204.31 [9749]~P144(x97491)+E(f331(f106(x97491),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x97492),x97493)),f192(f935(f934(a927,a927),a923)))))),f331(f331(f23(x97491),f331(f104(x97491),x97492)),f331(f104(x97491),x97493)))
% 204.30/204.31 [9832]P107(f331(x98323,x98322))+E(f331(f266(x98321),f331(f331(f18(x98321,a923,a923),f331(f331(f8(a923,f935(a923,a923),x98321),a329),f331(f331(f7(x98321,x98321,a923),a328),x98322))),x98323)),f192(f935(x98321,a923)))
% 204.30/204.31 [9834]~P107(f331(x98343,x98342))+E(f331(f266(x98341),f331(f331(f18(x98341,a923,a923),f331(f331(f8(a923,f935(a923,a923),x98341),a329),f331(f331(f7(x98341,x98341,a923),a328),x98342))),x98343)),f331(f331(f313(x98341),x98342),f192(f935(x98341,a923))))
% 204.30/204.31 [10063]E(x100631,x100632)+P107(f331(f331(f247(x100633,x100633,f331(f331(f8(f935(x100633,a923),f935(x100633,a923),x100633),f331(f8(a923,a923,x100633),a326)),a328)),x100631),x100632))
% 204.30/204.31 [10153]~E(x101531,x101532)+~P107(f331(f331(f247(x101533,x101533,f331(f331(f8(f935(x101533,a923),f935(x101533,a923),x101533),f331(f8(a923,a923,x101533),a326)),a328)),x101531),x101532))
% 204.30/204.31 [10165]~P107(f331(f61(x101651),x101653))+E(f331(f331(f64(x101651,f935(x101651,a923),f331(f331(f8(f935(x101651,a923),f935(f935(x101651,a923),f935(x101651,a923)),x101651),f331(f7(f935(x101651,a923),f935(x101651,a923),f935(x101651,a923)),f23(f935(x101651,a923)))),f331(f331(f7(x101651,f935(x101651,a923),f935(x101651,a923)),f313(x101651)),f192(f935(x101651,a923))))),x101652),x101653),f331(f331(f23(f935(x101651,a923)),x101652),x101653))
% 204.30/204.31 [10197]~P107(f331(f331(f240(a1),f2(a1)),x101973))+P107(f331(f331(f240(a1),f331(f331(f23(a1),x101971),f331(f331(f81(a1),f331(f331(f80(a1),f331(f76(a1),f331(f331(f23(a1),x101971),x101972))),f78(a1))),x101973))),x101972))
% 204.30/204.31 [10452]~P107(f331(f331(f333(x104521),x104523),f320(x104521,x104522)))+P107(f331(f319(x104521,f331(f331(f7(x104521,f935(f934(x104521,x104521),a923),f935(x104521,a923)),f331(f331(f8(f935(x104521,f935(f935(f934(x104521,x104521),a923),a923)),f935(f935(f934(x104521,x104521),a923),f935(x104521,a923)),x104521),f7(x104521,f935(f934(x104521,x104521),a923),a923)),f331(f331(f8(f935(x104521,f934(x104521,x104521)),f935(x104521,f935(f935(f934(x104521,x104521),a923),a923)),x104521),f331(f8(f934(x104521,x104521),f935(f935(f934(x104521,x104521),a923),a923),x104521),f333(f934(x104521,x104521)))),f256(x104521,x104521)))),x104522)),x104523))
% 204.30/204.31 [10466]P107(f331(f331(f333(x104661),x104662),f320(x104661,x104663)))+~P107(f331(f319(x104661,f331(f331(f7(x104661,f935(f934(x104661,x104661),a923),f935(x104661,a923)),f331(f331(f8(f935(x104661,f935(f935(f934(x104661,x104661),a923),a923)),f935(f935(f934(x104661,x104661),a923),f935(x104661,a923)),x104661),f7(x104661,f935(f934(x104661,x104661),a923),a923)),f331(f331(f8(f935(x104661,f934(x104661,x104661)),f935(x104661,f935(f935(f934(x104661,x104661),a923),a923)),x104661),f331(f8(f934(x104661,x104661),f935(f935(f934(x104661,x104661),a923),a923),x104661),f333(f934(x104661,x104661)))),f256(x104661,x104661)))),x104663)),x104662))
% 204.30/204.31 [10035]~P107(f331(f61(x100351),f331(f266(x100351),x100353)))+P107(f331(f61(x100351),f331(f266(x100351),f331(f331(f18(x100351,a923,a923),f331(f331(f8(a923,f935(a923,a923),x100351),a329),x100352)),x100353))))
% 204.30/204.31 [10036]~P107(f331(f61(x100361),f331(f266(x100361),x100362)))+P107(f331(f61(x100361),f331(f266(x100361),f331(f331(f18(x100361,a923,a923),f331(f331(f8(a923,f935(a923,a923),x100361),a329),x100362)),x100363))))
% 204.30/204.31 [10132]P107(f331(f61(x101321),f331(f266(x101321),x101322)))+~P107(f331(f61(x101321),f331(f266(x101321),f331(f331(f18(x101321,a923,a923),f331(f331(f8(a923,f935(a923,a923),x101321),a330),x101323)),x101322))))
% 204.30/204.31 [10133]P107(f331(f61(x101331),f331(f266(x101331),x101332)))+~P107(f331(f61(x101331),f331(f266(x101331),f331(f331(f18(x101331,a923,a923),f331(f331(f8(a923,f935(a923,a923),x101331),a330),x101332)),x101333))))
% 204.30/204.31 [10429]~P107(f331(f61(x104291),x104292))+P107(f331(f61(f928(x104291)),f331(f266(f928(x104291)),f331(f331(f18(f928(x104291),a923,a923),f331(f331(f8(a923,f935(a923,a923),f928(x104291)),a329),f331(f331(f7(f928(x104291),f935(x104291,a923),a923),f331(f331(f8(f935(x104291,a923),f935(f935(x104291,a923),a923),f928(x104291)),f239(f935(x104291,a923))),f176(x104291))),x104292))),f331(f331(f7(f928(x104291),a927,a923),f331(f331(f8(a927,f935(a927,a923),f928(x104291)),a328),f193(f928(x104291)))),x104293)))))
% 204.30/204.31 [10430]~P107(f331(f61(x104301),x104302))+P107(f331(f61(f928(x104301)),f331(f266(f928(x104301)),f331(f331(f18(f928(x104301),a923,a923),f331(f331(f8(a923,f935(a923,a923),f928(x104301)),a329),f331(f331(f7(f928(x104301),f935(x104301,a923),a923),f331(f331(f8(f935(x104301,a923),f935(f935(x104301,a923),a923),f928(x104301)),f239(f935(x104301,a923))),f176(x104301))),x104302))),f331(f331(f7(f928(x104301),a927,a923),f331(f331(f8(a927,f935(a927,a923),f928(x104301)),f239(a927)),f193(f928(x104301)))),x104303)))))
% 204.30/204.31 [10146]~P120(x101461)+E(f331(f331(f248(x101461),x101462),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101463)),f331(f331(f81(x101461),f331(f331(f248(x101461),x101462),x101463)),f331(f331(f248(x101461),x101462),x101463)))
% 204.30/204.31 [10178]~P83(x101781)+E(f331(f331(f248(x101781),f331(f331(f248(x101781),x101782),x101783)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f248(x101781),x101782),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101783)))
% 204.30/204.31 [10223]~P144(x102231)+E(f331(f331(f248(x102231),f331(f79(x102231),x102232)),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102233)),f331(f331(f248(x102231),x102232),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102233)))
% 204.30/204.31 [10367]~P114(x103671)+P107(f331(f331(f239(x103671),f2(x103671)),f331(f331(f80(x103671),f331(f331(f248(x103671),x103672),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x103671),x103673),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))))
% 204.30/204.31 [10233]~P120(x102331)+E(f331(f331(f248(x102331),x102332),f331(a116,f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102333))),f331(f331(f81(x102331),x102332),f331(f331(f81(x102331),f331(f331(f248(x102331),x102332),x102333)),f331(f331(f248(x102331),x102332),x102333))))
% 204.30/204.31 [10283]~P83(x102831)+E(f331(f331(f81(x102831),x102832),f331(f331(f248(x102831),f331(f331(f248(x102831),x102832),x102833)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x102831),x102832),f331(a116,f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102833))))
% 204.30/204.31 [10320]~P114(x103201)+P107(f331(f331(f239(x103201),f2(x103201)),f331(f331(f248(x103201),x103202),f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x103203))))
% 204.30/204.31 [10405]~P95(x104051)+E(f331(f331(f23(x104051),f331(f331(f80(x104051),f331(f331(f248(x104051),x104052),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x104051),x104053),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f331(f331(f81(x104051),f331(f331(f81(x104051),f331(f107(x104051),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x104052)),x104053)),f331(f331(f248(x104051),f331(f331(f23(x104051),x104052),x104053)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [10406]~P95(x104061)+E(f331(f331(f80(x104061),f331(f331(f80(x104061),f331(f331(f248(x104061),x104062),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x104061),x104063),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f331(f331(f81(x104061),f331(f331(f81(x104061),f331(f107(x104061),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x104062)),x104063)),f331(f331(f248(x104061),f331(f331(f80(x104061),x104062),x104063)),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [4916]E(x49161,x49162)+~E(f30(x49163,x49161),f30(x49164,x49162))
% 204.30/204.31 [4917]E(x49171,x49172)+~E(f30(x49171,x49173),f30(x49172,x49174))
% 204.30/204.31 [4918]E(x49181,x49182)+~E(f29(x49183,x49181),f29(x49184,x49182))
% 204.30/204.31 [4919]E(x49191,x49192)+~E(f29(x49191,x49193),f29(x49192,x49194))
% 204.30/204.31 [8017]P24(x80171,x80172,x80173,x80174)+~E(f534(x80174,x80173,x80172,x80171),f535(x80174,x80173,x80172,x80171))
% 204.30/204.31 [8313]P35(x83131,x83132,x83133,x83134,f117(x83132))+~E(x83134,f117(x83131))
% 204.30/204.31 [8314]P35(x83141,x83142,x83143,f117(x83141),x83144)+~E(x83144,f117(x83142))
% 204.30/204.31 [8861]~P35(x88612,x88613,x88614,x88611,f117(x88613))+E(x88611,f117(x88612))
% 204.30/204.31 [8862]~P35(x88623,x88622,x88624,f117(x88623),x88621)+E(x88621,f117(x88622))
% 204.30/204.31 [5300]~P16(x53003,x53001,x53004)+E(f331(f331(x53001,x53002),x53002),x53002)
% 204.30/204.31 [5552]P107(f331(x55522,x55524))+E(f331(f140(x55521,x55522),f173(x55521,x55523,x55524)),f117(x55521))
% 204.30/204.31 [5589]~E(x55894,f192(f935(x55891,a923)))+E(f331(f314(x55891,x55892,x55893),x55894),f192(f935(x55892,a923)))
% 204.30/204.31 [5831]~P107(f331(x58312,x58314))+E(f331(f140(x58311,x58312),f173(x58311,x58313,x58314)),f173(x58311,x58313,x58314))
% 204.30/204.31 [5860]~E(f331(f314(x58602,x58603,x58604),x58601),f192(f935(x58603,a923)))+E(x58601,f192(f935(x58602,a923)))
% 204.30/204.31 [6047]~P6(x60471,x60473)+E(f275(x60471,x60472,f274(x60471,x60473),x60474),x60474)
% 204.30/204.31 [6150]~P109(x61502)+E(f331(f331(f152(x61501,x61502,x61503),x61504),f117(x61501)),f331(f331(f155(x61501),x61504),f117(x61501)))
% 204.30/204.31 [6511]~E(x65111,f192(f935(x65112,a923)))+~P107(f331(f62(x65112,x65113,x65111),x65114))
% 204.30/204.31 [6534]~P59(x65341,x65343,x65344,x65342)+P107(f331(f61(x65341),x65342))
% 204.30/204.31 [6536]~P59(x65361,x65363,x65362,x65364)+P107(f331(f61(x65361),x65362))
% 204.30/204.31 [6543]~P59(x65432,x65433,x65434,x65431)+~E(x65431,f192(f935(x65432,a923)))
% 204.30/204.31 [6576]~P111(x65761)+E(f331(f331(f105(f935(x65761,a923)),f331(f306(x65761,x65762),x65763)),f307(x65761,x65763,x65764)),f192(f935(x65761,a923)))
% 204.30/204.31 [6602]~P107(f331(f331(x66023,x66024),x66022))+P107(f331(f331(f333(x66021),x66022),f297(x66021,x66023,x66024)))
% 204.30/204.31 [6603]~P107(f331(f331(x66033,x66034),x66032))+P107(f331(f331(f333(x66031),x66032),f298(x66031,x66033,x66034)))
% 204.30/204.31 [6604]~P107(f331(f331(x66043,x66042),x66044))+P107(f331(f331(f333(x66041),x66042),f299(x66041,x66043,x66044)))
% 204.30/204.31 [6605]~P107(f331(f331(x66053,x66052),x66054))+P107(f331(f331(f333(x66051),x66052),f302(x66051,x66053,x66054)))
% 204.30/204.31 [6746]~P111(x67461)+E(f331(f331(f105(f935(x67461,a923)),f307(x67461,x67462,x67463)),f309(x67461,x67463,x67464)),f192(f935(x67461,a923)))
% 204.30/204.31 [6747]~P111(x67471)+E(f331(f331(f105(f935(x67471,a923)),f307(x67471,x67472,x67473)),f310(x67471,x67473,x67474)),f192(f935(x67471,a923)))
% 204.30/204.31 [6748]~P111(x67481)+E(f331(f331(f105(f935(x67481,a923)),f309(x67481,x67482,x67483)),f309(x67481,x67483,x67484)),f192(f935(x67481,a923)))
% 204.30/204.31 [6749]~P111(x67491)+E(f331(f331(f105(f935(x67491,a923)),f309(x67491,x67492,x67493)),f310(x67491,x67493,x67494)),f192(f935(x67491,a923)))
% 204.30/204.31 [6750]~P111(x67501)+E(f331(f331(f105(f935(x67501,a923)),f310(x67501,x67502,x67503)),f307(x67501,x67503,x67504)),f192(f935(x67501,a923)))
% 204.30/204.31 [6787]P107(f331(f331(x67871,x67872),f557(x67872,x67871)))+~P107(f331(f253(x67873,x67874,x67871),x67872))
% 204.30/204.31 [6866]~P109(x68662)+E(f331(f176(x68661),f154(x68661,x68662,x68663,x68664)),f331(f176(x68661),x68664))
% 204.30/204.31 [6916]~P147(x69161)+E(f194(x69161,x69162,f331(a116,x69163),x69164),f194(x69161,x69162,x69163,f331(x69162,x69164)))
% 204.30/204.31 [6977]~P107(f331(f331(f333(x69774),x69773),f297(x69774,x69771,x69772)))+P107(f331(f331(x69771,x69772),x69773))
% 204.30/204.31 [6978]~P107(f331(f331(f333(x69784),x69783),f298(x69784,x69781,x69782)))+P107(f331(f331(x69781,x69782),x69783))
% 204.30/204.31 [6979]~P107(f331(f331(f333(x69794),x69792),f299(x69794,x69791,x69793)))+P107(f331(f331(x69791,x69792),x69793))
% 204.30/204.31 [6980]~P107(f331(f331(f333(x69804),x69802),f302(x69804,x69801,x69803)))+P107(f331(f331(x69801,x69802),x69803))
% 204.30/204.31 [7056]E(f331(f35(f933(x70561,x70562)),f317(x70561,x70562,x70563,x70564)),f2(a927))+P107(f331(f61(x70562),x70564))
% 204.30/204.31 [7057]E(f331(f35(f933(x70571,x70572)),f317(x70571,x70572,x70573,x70574)),f2(a927))+P107(f331(f61(x70571),x70573))
% 204.30/204.31 [7259]~P13(x72594,x72591,x72592)+E(f331(f73(x72591,x72591,x72591,f331(x72592,x72593)),f331(x72592,x72593)),f331(x72592,x72593))
% 204.30/204.31 [7501]E(f281(x75011,x75012,x75013,x75014),f331(f256(f935(a103,f935(a923,f931(f929(x75011)))),f934(a103,a103)),f41(x75011)))+~P107(f331(f331(f239(a103),x75013),f2(a103)))
% 204.30/204.31 [8055]~P107(f331(x80551,x80554))+P107(f331(x80551,f95(x80552,a927,x80553,x80551)))
% 204.30/204.31 [8139]~E(x81392,x81393)+P107(f331(f331(f333(f934(x81391,x81391)),f331(f331(f256(x81391,x81391),x81392),x81393)),f311(x81391,x81394)))
% 204.30/204.31 [8168]~P24(x81681,x81682,x81683,f246(f935(x81681,a923)))+E(f331(f77(x81681,x81682,f246(f935(x81681,a923)),x81683),f331(x81683,x81684)),x81684)
% 204.30/204.31 [8169]~P24(x81691,x81692,x81693,f246(f935(x81691,a923)))+E(f331(f92(x81691,x81692,f246(f935(x81691,a923)),x81693),f331(x81693,x81694)),x81694)
% 204.30/204.31 [8259]~P107(f331(f331(f333(f928(x82591)),f331(f331(f155(x82591),x82594),x82592)),f165(x82591,x82593)))+P107(f331(f331(f333(f928(x82591)),x82592),f165(x82591,x82593)))
% 204.30/204.31 [8260]~P107(f331(f331(f333(f928(x82601)),f331(f331(f138(x82601),x82604),x82602)),f165(x82601,x82603)))+P107(f331(f331(f333(f928(x82601)),x82602),f165(x82601,x82603)))
% 204.30/204.31 [8261]~P107(f331(f331(f333(f928(x82611)),f331(f331(f138(x82611),x82612),x82614)),f165(x82611,x82613)))+P107(f331(f331(f333(f928(x82611)),x82612),f165(x82611,x82613)))
% 204.30/204.31 [8275]~P109(x82751)+P12(x82751,f331(f331(f158(x82752,x82751),x82753),f154(x82752,x82751,x82753,x82754)))
% 204.30/204.31 [8376]P24(x83764,x83763,x83761,x83762)+E(f331(x83761,f534(x83762,x83761,x83763,x83764)),f331(x83761,f535(x83762,x83761,x83763,x83764)))
% 204.30/204.31 [8483]~P24(x84832,x84831,x84834,x84833)+P24(x84831,x84832,f77(x84832,x84831,x84833,x84834),f331(f314(x84832,x84831,x84834),x84833))
% 204.30/204.31 [8623]P38(f934(x86232,x86234),f284(x86232,x86234,x86231,x86233))+P107(f331(x86231,f548(x86232,x86233,x86234,x86231)))
% 204.30/204.31 [8746]E(x87461,x87462)+~P107(f331(f331(f333(f934(x87463,x87463)),f331(f331(f256(x87463,x87463),x87461),x87462)),f267(x87463,x87464)))
% 204.30/204.31 [8813]~P107(f331(f61(f933(x88133,x88131)),f317(x88133,x88131,x88134,x88132)))+P107(f331(f61(x88131),x88132))
% 204.30/204.31 [8814]~P107(f331(f61(f933(x88141,x88143)),f317(x88141,x88143,x88142,x88144)))+P107(f331(f61(x88141),x88142))
% 204.30/204.31 [8823]~P24(x88231,x88232,x88233,x88234)+P25(x88231,x88232,x88233,x88234,f331(f314(x88231,x88232,x88233),x88234))
% 204.30/204.31 [8824]P10(x88241,x88242,x88243,x88244)+~E(f331(x88244,f858(x88242,x88244,x88243,x88241)),f331(x88244,f859(x88242,x88244,x88243,x88241)))
% 204.30/204.31 [8914]~P25(x89142,x89143,x89144,x89141,f192(f935(x89143,a923)))+E(x89141,f192(f935(x89142,a923)))
% 204.30/204.31 [8915]~P25(x89153,x89152,x89154,f192(f935(x89153,a923)),x89151)+E(x89151,f192(f935(x89152,a923)))
% 204.30/204.31 [9007]P38(f934(x90071,x90072),f284(x90071,x90072,x90073,x90074))+~P38(x90072,f331(x90074,f548(x90071,x90074,x90072,x90073)))
% 204.30/204.31 [9578]E(f331(f331(f163(x95781,x95782),f677(x95783,x95784,x95782,x95781)),f678(x95783,x95784,x95782,x95781)),x95784)+~P107(f331(f331(f333(f934(f928(x95781),f928(x95781))),f331(f331(f256(f928(x95781),f928(x95781)),x95782),x95784)),f161(x95781,x95783)))
% 204.30/204.31 [9579]~P107(f331(x95793,x95794))+P107(f331(f331(f239(a927),f331(x95791,f95(x95792,a927,x95791,x95793))),f331(x95791,x95794)))
% 204.30/204.31 [9585]~P107(f331(f331(f333(f934(f928(x95851),f928(x95851))),f331(f331(f256(f928(x95851),f928(x95851)),x95852),x95853)),f149(x95851,x95854)))+P107(f331(f331(f333(f934(f928(x95851),f928(x95851))),f331(f331(f256(f928(x95851),f928(x95851)),x95852),x95853)),f151(x95851,x95854)))
% 204.30/204.31 [9695]P107(f331(f61(x96951),x96952))+~P107(f331(f331(f333(f934(f935(x96951,a923),f935(x96951,a923))),f331(f331(f256(f935(x96951,a923),f935(x96951,a923)),x96953),x96952)),f322(x96951,x96954)))
% 204.30/204.31 [9696]P107(f331(f61(x96961),x96962))+~P107(f331(f331(f333(f934(f935(x96961,a923),f935(x96961,a923))),f331(f331(f256(f935(x96961,a923),f935(x96961,a923)),x96962),x96963)),f322(x96961,x96964)))
% 204.30/204.31 [9699]~E(x96991,f192(f935(x96992,a923)))+~P107(f331(f331(f333(f934(f935(x96992,a923),f935(x96992,a923))),f331(f331(f256(f935(x96992,a923),f935(x96992,a923)),x96993),x96991)),f322(x96992,x96994)))
% 204.30/204.31 [10332]P10(x103321,x103322,x103323,x103324)+~P107(f331(f331(f261(x103321,x103321,a923),f331(f331(f7(x103321,f935(x103321,x103322),f935(x103321,a923)),f331(f331(f8(f935(x103322,a923),f935(f935(x103321,x103322),f935(x103321,a923)),x103321),f8(x103322,a923,x103321)),f331(f331(f8(x103322,f935(x103322,a923),x103321),a328),x103324))),x103324)),f589(x103324,x103323,x103322,x103321)))
% 204.30/204.31 [5199]~E(x51992,f117(x51991))+E(f331(f331(f163(x51991,x51992),x51993),x51994),f117(x51991))
% 204.30/204.31 [5200]~E(x52004,f117(x52001))+E(f331(f331(f158(x52001,x52002),x52003),x52004),f117(x52002))
% 204.30/204.31 [5434]E(x54341,f117(x54342))+~E(f331(f331(f158(x54342,x54343),x54344),x54341),f117(x54343))
% 204.30/204.31 [5435]E(x54351,f117(x54352))+~E(f331(f331(f163(x54352,x54351),x54353),x54354),f117(x54352))
% 204.30/204.31 [5473]E(x54731,x54732)+~E(f331(f331(f138(x54733),x54734),x54731),f331(f331(f138(x54733),x54734),x54732))
% 204.30/204.31 [5474]E(x54741,x54742)+~E(f331(f331(f138(x54743),x54741),x54744),f331(f331(f138(x54743),x54742),x54744))
% 204.30/204.31 [5625]P107(f331(x56253,x56252))+E(f174(x56251,x56252,f331(f140(x56251,x56253),x56254)),f331(f140(x56251,x56253),x56254))
% 204.30/204.31 [5627]~P107(f331(x56272,x56273))+P34(x56271,x56272,f331(f331(f155(x56271),x56273),x56274))
% 204.30/204.31 [5636]E(x56361,x56362)+~E(f143(a927,f331(f306(a927,x56361),x56363)),f331(f331(f155(a927),x56362),x56364))
% 204.30/204.31 [5684]~P26(x56842,x56843)+P26(x56841,f331(f331(f74(x56842,x56841),x56843),x56844))
% 204.30/204.31 [5685]~P38(x56852,x56853)+P38(x56851,f331(f331(f292(x56852,x56851),x56853),x56854))
% 204.30/204.31 [5686]~P39(x56862,x56863)+P39(x56861,f331(f331(f292(x56862,x56861),x56863),x56864))
% 204.30/204.31 [5687]~P52(x56872,x56873)+P52(x56871,f331(f331(f292(x56872,x56871),x56873),x56874))
% 204.30/204.31 [5815]~P34(x58151,x58152,x58154)+P34(x58151,x58152,f331(f331(f155(x58151),x58153),x58154))
% 204.30/204.31 [5816]~P34(x58161,x58162,x58164)+P34(x58161,x58162,f331(f331(f138(x58161),x58163),x58164))
% 204.30/204.31 [5817]~P34(x58171,x58172,x58173)+P34(x58171,x58172,f331(f331(f138(x58171),x58173),x58174))
% 204.30/204.31 [5903]~E(x59031,f117(x59032))+~E(f331(f331(f138(x59032),x59033),f331(f331(f155(x59032),x59034),f117(x59032))),x59031)
% 204.30/204.31 [5928]~P32(x59283,x59281,f331(f331(f155(x59283),x59282),x59284))+P107(f331(x59281,x59282))
% 204.30/204.31 [5938]E(f118(x59381,x59382),x59383)+~E(f331(f331(f138(x59381),x59383),f331(f331(f155(x59381),x59384),f117(x59381))),x59382)
% 204.30/204.31 [5939]E(f148(x59391,x59392),x59393)+~E(f331(f331(f138(x59391),x59394),f331(f331(f155(x59391),x59393),f117(x59391))),x59392)
% 204.30/204.31 [6049]~E(f143(a927,f331(f306(a927,x60491),x60492)),f331(f331(f155(a927),x60493),x60494))+P107(f331(f331(f240(a927),x60491),x60492))
% 204.30/204.31 [6058]P32(x60581,x60582,x60583)+~P32(x60581,x60582,f331(f331(f155(x60581),x60584),x60583))
% 204.30/204.31 [6059]P32(x60591,x60592,x60593)+~P32(x60591,x60592,f331(f331(f138(x60591),x60594),x60593))
% 204.30/204.31 [6060]P32(x60601,x60602,x60603)+~P32(x60601,x60602,f331(f331(f138(x60601),x60603),x60604))
% 204.30/204.31 [6256]E(x62561,f331(f331(f138(x62562),f331(f172(x62562),x62563)),f331(f331(f155(x62562),x62564),f117(x62562))))+~E(f331(f172(x62562),x62561),f331(f331(f155(x62562),x62564),x62563))
% 204.30/204.31 [6432]~P111(x64321)+E(f331(f331(f105(f935(x64321,a923)),f331(f306(x64321,x64322),x64323)),f331(f306(x64321,x64323),x64324)),f192(f935(x64321,a923)))
% 204.30/204.31 [6443]E(f331(f331(f168(x64431),f173(x64431,x64432,x64433)),x64434),x64433)+~P107(f331(f331(f240(a927),x64434),x64432))
% 204.30/204.31 [6470]~P72(x64701)+E(f331(f169(x64701),f331(f331(f158(a1,x64701),x64702),f182(x64703,x64704))),f331(f331(f6(a1,x64701),x64702),f331(f176(a1),f182(x64703,x64704))))
% 204.30/204.31 [6471]~P72(x64711)+E(f331(f331(f6(a1,x64711),x64712),f331(f176(a1),f182(x64713,x64714))),f331(f169(x64711),f331(f331(f158(a1,x64711),x64712),f182(x64713,x64714))))
% 204.30/204.31 [6615]~E(x66152,f331(f331(f138(x66151),f331(f172(x66151),x66154)),f331(f331(f155(x66151),x66153),f117(x66151))))+E(f331(f172(x66151),x66152),f331(f331(f155(x66151),x66153),x66154))
% 204.30/204.31 [6631]~P18(x66312,x66313,x66314,x66311)+E(f331(x66311,f192(f935(x66312,a923))),f32(x66313))
% 204.30/204.31 [6659]~P111(x66591)+E(f331(f331(f105(f935(x66591,a923)),f310(x66591,x66592,x66593)),f331(f306(x66591,x66593),x66594)),f192(f935(x66591,a923)))
% 204.30/204.31 [6867]E(x68671,f192(f935(x68672,a923)))+~E(f317(x68673,x68672,x68674,x68671),f192(f935(f933(x68673,x68672),a923)))
% 204.30/204.31 [6868]E(x68681,f192(f935(x68682,a923)))+~E(f317(x68682,x68683,x68681,x68684),f192(f935(f933(x68682,x68683),a923)))
% 204.30/204.31 [6938]~P109(x69382)+E(f331(f193(f928(x69381)),f154(x69381,x69382,x69383,x69384)),f331(f193(f928(x69381)),x69384))
% 204.30/204.31 [6949]~P107(f331(f254(x69493,x69494,x69491),x69492))+P107(f331(f331(x69491,f556(x69492,x69491)),x69492))
% 204.30/204.31 [6990]~P107(f331(f61(x69902),x69904))+P107(f331(f61(x69901),f331(f314(x69902,x69901,x69903),x69904)))
% 204.30/204.31 [7219]~P24(x72192,x72191,x72193,x72194)+E(f331(f35(x72191),f331(f314(x72192,x72191,x72193),x72194)),f331(f35(x72192),x72194))
% 204.30/204.31 [7237]E(f331(f314(x72371,x72372,x72373),f331(f315(x72371,x72372,x72373),x72374)),x72374)+~E(f331(f314(x72371,x72372,x72373),f246(f935(x72371,a923))),f246(f935(x72372,a923)))
% 204.30/204.31 [7652]~P24(x76521,x76522,x76523,f246(f935(x76521,a923)))+E(f331(f315(x76521,x76522,x76523),f331(f314(x76521,x76522,x76523),x76524)),x76524)
% 204.30/204.31 [7932]E(x79321,x79322)+~P107(f331(f331(f333(x79323),x79321),f331(f176(x79323),f173(x79323,x79324,x79322))))
% 204.30/204.31 [7941]~E(x79411,f2(a927))+~P107(f331(f331(f333(x79412),x79413),f331(f176(x79412),f173(x79412,x79411,x79414))))
% 204.30/204.31 [7975]P107(f331(x79751,x79752))+~P107(f331(f331(f333(x79753),x79752),f331(f176(x79753),f181(x79753,x79751,x79754))))
% 204.30/204.31 [8086]~P107(f331(f331(f333(f928(x80861)),f331(f331(f155(x80861),x80862),x80864)),f165(x80861,x80863)))+P107(f331(f331(f333(x80861),x80862),x80863))
% 204.30/204.31 [8213]~P107(f331(f331(f333(x82131),x82132),f331(f176(x82131),f180(x82131,x82133,x82134))))+P107(f331(f331(f333(x82131),x82132),f331(f176(x82131),x82133)))
% 204.30/204.31 [8214]~P107(f331(f331(f333(x82141),x82142),f331(f176(x82141),f174(x82141,x82144,x82143))))+P107(f331(f331(f333(x82141),x82142),f331(f176(x82141),x82143)))
% 204.30/204.31 [8215]~P107(f331(f331(f333(x82151),x82152),f331(f176(x82151),f181(x82151,x82154,x82153))))+P107(f331(f331(f333(x82151),x82152),f331(f176(x82151),x82153)))
% 204.30/204.31 [8225]E(f331(f193(f928(x82251)),x82252),x82253)+~P107(f331(f331(f333(f928(x82251)),x82252),f331(f176(f928(x82251)),f55(x82251,x82253,x82254))))
% 204.30/204.31 [8326]P107(f331(x83263,x83262))+E(f331(f140(x83261,f331(f331(f8(a923,a923,x83261),a326),f331(a328,x83262))),f331(f140(x83261,x83263),x83264)),f331(f140(x83261,x83263),x83264))
% 204.30/204.31 [8435]E(f331(f331(f168(x84351),f181(x84351,x84352,x84353)),x84354),f331(f331(f168(x84351),x84353),x84354))+~P107(f331(f331(f240(a927),x84354),f331(f193(f928(x84351)),f181(x84351,x84352,x84353))))
% 204.30/204.31 [8521]~P72(x85211)+E(f331(f331(f6(a927,x85211),f331(f331(f8(a927,x85211,a927),x85212),a116)),f331(f306(a927,x85213),x85214)),f331(f331(f6(a927,x85211),x85212),f331(f306(a927,f331(a116,x85213)),f331(a116,x85214))))
% 204.30/204.31 [8530]~P72(x85301)+E(f331(f331(f6(a927,x85301),f331(f331(f8(a927,x85301,a927),x85302),a116)),f307(a927,x85303,x85304)),f331(f331(f6(a927,x85301),x85302),f307(a927,f331(a116,x85303),f331(a116,x85304))))
% 204.30/204.31 [8660]~P24(x86601,x86603,x86604,f246(f935(x86601,a923)))+P24(x86601,f935(x86602,x86603),f331(f331(f8(x86603,f935(x86602,x86603),x86601),f16(x86603,x86602)),x86604),f246(f935(x86601,a923)))
% 204.30/204.31 [8755]~P24(x87552,x87551,x87554,x87553)+E(f331(f314(x87551,x87552,f77(x87552,x87551,x87553,x87554)),f331(f314(x87552,x87551,x87554),x87553)),x87553)
% 204.30/204.31 [8815]~P107(f331(f331(f333(f934(x88151,x88151)),f331(f331(f256(x88151,x88151),x88152),x88154)),f267(x88151,x88153)))+P107(f331(f331(f333(x88151),x88152),x88153))
% 204.30/204.31 [8938]~P24(x89382,x89381,x89383,f246(f935(x89382,a923)))+E(f331(f314(x89381,x89382,f92(x89382,x89381,f246(f935(x89382,a923)),x89383)),f331(f314(x89382,x89381,x89383),x89384)),x89384)
% 204.30/204.31 [9013]~P25(x90131,x90132,x90133,x90134,f246(f935(x90132,a923)))+E(f331(f314(x90131,x90132,x90133),f246(f935(x90131,a923))),f246(f935(x90132,a923)))
% 204.30/204.31 [9046]~E(f331(f331(f6(x90461,a927),x90464),x90463),f331(a116,x90462))+P107(f331(f331(f333(x90461),f468(x90462,x90463,x90464,x90461)),x90463))
% 204.30/204.31 [9067]~E(f331(f331(f6(x90674,a927),x90671),x90673),f331(a116,x90672))+P107(f331(f331(f240(a927),f2(a927)),f331(x90671,f468(x90672,x90673,x90671,x90674))))
% 204.30/204.31 [9078]~P107(f331(f61(x90782),x90784))+P107(f331(f331(f239(a927),f331(f35(x90781),f331(f314(x90782,x90781,x90783),x90784))),f331(f35(x90782),x90784)))
% 204.30/204.31 [9079]E(f331(f331(f256(x90791,x90792),f649(x90793,x90794,x90792,x90791)),f650(x90793,x90794,x90792,x90791)),x90794)+~P107(f331(f331(f333(f934(x90791,x90792)),x90794),f331(f290(x90792,x90791),x90793)))
% 204.30/204.31 [9087]P24(x90871,x90872,x90873,x90874)+P107(f331(f331(f333(x90871),f534(x90874,x90873,x90872,x90871)),x90874))
% 204.30/204.31 [9088]P24(x90881,x90882,x90883,x90884)+P107(f331(f331(f333(x90881),f535(x90884,x90883,x90882,x90881)),x90884))
% 204.30/204.31 [9156]P10(x91561,x91562,x91563,x91564)+P107(f331(f331(f333(f934(x91561,x91561)),f589(x91564,x91563,x91562,x91561)),x91563))
% 204.30/204.31 [9212]P107(f331(x92121,x92122))+~P107(f331(x92121,f331(f331(f256(x92123,x92124),f507(x92124,x92123,x92121)),f508(x92124,x92123,x92121))))
% 204.30/204.31 [9230]E(f331(f193(f928(x92301)),x92302),f331(f193(f928(x92301)),x92303))+~P107(f331(f331(f333(f934(f928(x92301),f928(x92301))),f331(f331(f256(f928(x92301),f928(x92301)),x92302),x92303)),f149(x92301,x92304)))
% 204.30/204.31 [9231]E(f331(f193(f928(x92311)),x92312),f331(f193(f928(x92311)),x92313))+~P107(f331(f331(f333(f934(f928(x92311),f928(x92311))),f331(f331(f256(f928(x92311),f928(x92311)),x92312),x92313)),f161(x92311,x92314)))
% 204.30/204.31 [9234]E(f331(f193(f928(x92341)),x92342),f331(f193(f928(x92341)),x92343))+~P107(f331(f331(f333(f934(f928(x92341),f928(x92341))),f331(f331(f256(f928(x92341),f928(x92341)),x92342),x92343)),f162(x92341,x92344)))
% 204.30/204.31 [9305]P107(f331(f331(f239(a927),f159(x93051,x93052,x93053)),f159(x93051,x93054,x93053)))+P107(f331(f331(f333(x93051),f676(x93054,x93052,x93053,x93051)),f331(f176(x93051),x93053)))
% 204.30/204.31 [9308]E(f331(f193(f928(x93081)),x93082),f331(f193(f928(x93081)),x93083))+~P107(f331(f331(f333(f934(f928(x93081),f928(x93081))),f331(f331(f256(f928(x93081),f928(x93081)),x93082),x93083)),f311(f928(x93081),f161(x93081,x93084))))
% 204.30/204.31 [9428]P107(f331(f331(f291(a927),x94281),x94282))+P107(f331(f331(f239(f935(a927,a923)),f300(a927,f291(a927),x94281,x94282)),f300(a927,f291(a927),x94283,x94284)))
% 204.30/204.31 [9549]~P24(x95491,x95492,x95493,x95494)+~P107(f331(f331(f240(a927),f331(f35(x95492),f331(f314(x95491,x95492,x95493),x95494))),f331(f35(x95491),x95494)))
% 204.30/204.31 [9598]~P107(f331(f331(f333(f934(f928(x95981),f928(x95981))),f331(f331(f256(f928(x95981),f928(x95981)),x95982),x95983)),f161(x95981,x95984)))+P107(f331(f331(f333(f934(f928(x95981),f928(x95981))),f331(f331(f256(f928(x95981),f928(x95981)),x95982),x95983)),f162(x95981,f311(x95981,x95984))))
% 204.30/204.31 [9602]~P107(f331(f331(f333(f934(f928(x96021),f928(x96021))),f331(f331(f256(f928(x96021),f928(x96021)),x96022),x96023)),f162(x96021,x96024)))+P107(f331(f331(f333(f934(f928(x96021),f928(x96021))),f331(f331(f256(f928(x96021),f928(x96021)),x96022),x96023)),f311(f928(x96021),f161(x96021,x96024))))
% 204.30/204.31 [9618]P107(f331(f331(f333(f934(x96181,x96181)),f331(f331(f256(x96181,x96181),x96182),x96183)),f311(x96181,x96184)))+~P107(f331(f331(f333(f934(x96181,x96181)),f331(f331(f256(x96181,x96181),x96182),x96183)),f331(f331(f293(x96181,x96181,x96181),x96184),f311(x96181,x96184))))
% 204.30/204.31 [9690]P107(f331(f331(f291(a927),x96901),x96902))+~P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x96903,x96904)),f300(a927,f291(a927),x96901,x96902)))
% 204.30/204.31 [9813]E(f331(f331(f138(x98131),f695(x98132,x98133,x98134,x98131)),f331(f331(f155(x98131),f689(x98132,x98133,x98134,x98131)),f696(x98132,x98133,x98134,x98131))),x98134)+~P107(f331(f331(f333(f934(f928(x98131),f928(x98131))),f331(f331(f256(f928(x98131),f928(x98131)),x98134),x98133)),f161(x98131,x98132)))
% 204.30/204.31 [9814]E(f331(f331(f138(x98141),f695(x98142,x98143,x98144,x98141)),f331(f331(f155(x98141),f690(x98142,x98143,x98144,x98141)),f696(x98142,x98143,x98144,x98141))),x98143)+~P107(f331(f331(f333(f934(f928(x98141),f928(x98141))),f331(f331(f256(f928(x98141),f928(x98141)),x98144),x98143)),f161(x98141,x98142)))
% 204.30/204.31 [9892]P107(f331(f331(f333(f934(x98921,x98921)),f331(f331(f256(x98921,x98921),x98922),f641(x98923,x98924,x98922,x98921))),f311(x98921,x98923)))+~P107(f331(f331(f333(f934(x98921,x98921)),f331(f331(f256(x98921,x98921),x98922),x98924)),f331(f331(f293(x98921,x98921,x98921),x98923),f311(x98921,x98923))))
% 204.30/204.31 [9960]P107(f331(f331(f239(a927),f159(x99601,x99602,x99603)),f159(x99601,x99604,x99603)))+~P107(f331(f331(f240(a927),f331(x99602,f676(x99604,x99602,x99603,x99601))),f331(x99604,f676(x99604,x99602,x99603,x99601))))
% 204.30/204.31 [10031]P107(f331(f331(f333(f934(x100311,x100311)),f331(f331(f256(x100311,x100311),f639(x100312,x100313,x100314,x100311)),x100313)),f311(x100311,x100312)))+~P107(f331(f331(f333(f934(x100311,x100311)),f331(f331(f256(x100311,x100311),x100314),x100313)),f331(f331(f293(x100311,x100311,x100311),x100312),f311(x100311,x100312))))
% 204.30/204.31 [5454]~E(x54542,x54543)+E(f174(x54541,x54542,f331(f331(f155(x54541),x54543),x54544)),x54544)
% 204.30/204.31 [5582]P107(f331(x55822,x55823))+E(f181(x55821,x55822,f331(f331(f155(x55821),x55823),x55824)),f117(x55821))
% 204.30/204.31 [5648]~P91(x56482)+E(f331(f331(f79(f935(x56481,x56482)),x56483),x56484),f331(f79(x56482),f331(x56483,x56484)))
% 204.30/204.31 [5661]~E(x56612,f2(a927))+E(f331(f331(f142(x56611),x56612),f331(f331(f155(x56611),x56613),x56614)),f331(f331(f155(x56611),x56613),x56614))
% 204.30/204.31 [5662]P107(f331(x56622,x56623))+E(f331(f140(x56621,x56622),f331(f331(f155(x56621),x56623),x56624)),f331(f140(x56621,x56622),x56624))
% 204.30/204.31 [5798]~E(x57982,x57984)+P107(f331(f331(f331(f313(x57981),x57982),x57983),x57984))
% 204.30/204.31 [5806]E(x58061,f117(x58062))+E(f148(x58063,f331(f331(f158(x58062,x58063),x58064),x58061)),f331(x58064,f148(x58062,x58061)))
% 204.30/204.31 [5820]~E(x58201,f63(x58202,x58204))+E(f331(x58201,f331(f331(f313(x58202),x58203),f192(f935(x58202,a923)))),x58203)
% 204.30/204.31 [5855]E(x58551,f117(x58552))+E(f331(f145(x58553),f331(f331(f158(x58552,x58553),x58554),x58551)),f331(x58554,f331(f145(x58552),x58551)))
% 204.30/204.31 [5958]~P107(f331(x59583,x59584))+P107(f331(f331(f331(f313(x59581),x59582),x59583),x59584))
% 204.30/204.31 [6077]~P17(x60772,x60774,x60771)+E(f331(x60771,f331(f331(f313(x60772),x60773),f192(f935(x60772,a923)))),x60773)
% 204.30/204.31 [6103]~E(x61032,x61033)+P107(f331(f331(f333(x61031),x61032),f331(f331(f313(x61031),x61033),x61034)))
% 204.30/204.31 [6108]~P79(x61081)+E(f331(f331(f114(x61081),x61082),f331(f331(f114(x61081),x61083),x61084)),f331(f331(f114(x61081),x61083),f331(f331(f114(x61081),x61082),x61084)))
% 204.30/204.31 [6110]~P102(x61101)+E(f331(f331(f114(x61101),x61102),f331(f331(f114(x61101),x61103),x61104)),f331(f331(f114(x61101),x61103),f331(f331(f114(x61101),x61102),x61104)))
% 204.30/204.31 [6111]~P120(x61111)+E(f331(f331(f81(x61111),x61112),f331(f331(f81(x61111),x61113),x61114)),f331(f331(f81(x61111),x61113),f331(f331(f81(x61111),x61112),x61114)))
% 204.30/204.31 [6112]~P79(x61121)+E(f331(f331(f105(x61121),x61122),f331(f331(f105(x61121),x61123),x61124)),f331(f331(f105(x61121),x61123),f331(f331(f105(x61121),x61122),x61124)))
% 204.30/204.31 [6114]~P103(x61141)+E(f331(f331(f105(x61141),x61142),f331(f331(f105(x61141),x61143),x61144)),f331(f331(f105(x61141),x61143),f331(f331(f105(x61141),x61142),x61144)))
% 204.30/204.31 [6115]~P120(x61151)+E(f331(f331(f80(x61151),x61152),f331(f331(f80(x61151),x61153),x61154)),f331(f331(f80(x61151),x61153),f331(f331(f80(x61151),x61152),x61154)))
% 204.30/204.31 [6117]~P109(x61171)+E(f331(f331(f237(x61171),x61172),f331(f331(f237(x61171),x61173),x61174)),f331(f331(f237(x61171),x61173),f331(f331(f237(x61171),x61172),x61174)))
% 204.30/204.31 [6119]~P109(x61191)+E(f331(f331(f238(x61191),x61192),f331(f331(f238(x61191),x61193),x61194)),f331(f331(f238(x61191),x61193),f331(f331(f238(x61191),x61192),x61194)))
% 204.30/204.31 [6124]E(x61241,x61242)+E(f174(x61243,x61241,f331(f331(f155(x61243),x61242),x61244)),f331(f331(f155(x61243),x61242),f174(x61243,x61241,x61244)))
% 204.30/204.31 [6137]~P107(f331(x61372,x61373))+E(f331(f140(x61371,x61372),f331(f331(f155(x61371),x61373),x61374)),f331(f331(f155(x61371),x61373),f331(f140(x61371,x61372),x61374)))
% 204.30/204.31 [6276]~P107(f331(x62762,x62763))+E(f181(x62761,x62762,f331(f331(f155(x62761),x62763),x62764)),f331(f331(f155(x62761),x62763),f181(x62761,x62762,x62764)))
% 204.30/204.31 [6326]P23(x63261,x63262,x63263)+~P23(x63261,x63262,f331(f331(f313(f926(x63261)),x63264),x63263))
% 204.30/204.31 [6342]E(x63421,f192(f935(x63422,a923)))+E(f331(f331(f39(x63422,f935(x63423,a923)),x63421),f331(f16(f935(x63423,a923),x63422),x63424)),x63424)
% 204.30/204.31 [6343]E(x63431,f192(f935(x63432,a923)))+E(f331(f331(f40(x63432,f935(x63433,a923)),x63431),f331(f16(f935(x63433,a923),x63432),x63434)),x63434)
% 204.30/204.31 [6352]~E(x63524,f192(f935(x63522,a923)))+E(f331(f331(f258(x63521,x63522),x63523),f331(f16(f935(x63522,a923),x63521),x63524)),f192(f935(f934(x63521,x63522),a923)))
% 204.30/204.31 [6353]~E(x63533,f192(f935(x63531,a923)))+E(f331(f331(f258(x63531,x63532),x63533),f331(f16(f935(x63532,a923),x63531),x63534)),f192(f935(f934(x63531,x63532),a923)))
% 204.30/204.31 [6404]E(x64041,f2(a927))+E(f331(f331(f142(x64042),x64041),f331(f331(f155(x64042),x64043),x64044)),f331(f331(f142(x64042),f331(f331(f23(a927),x64041),f78(a927))),x64044))
% 204.30/204.31 [6425]E(x64251,f192(f935(x64252,a923)))+E(f331(f314(x64252,x64253,f331(f16(x64253,x64252),x64254)),x64251),f331(f331(f313(x64253),x64254),f192(f935(x64253,a923))))
% 204.30/204.31 [6428]E(f331(f315(x64281,x64282,f331(f16(x64282,x64281),x64283)),x64284),f192(f935(x64281,a923)))+P107(f331(f331(f333(x64282),x64283),x64284))
% 204.30/204.31 [6495]~E(x64953,f192(f935(x64951,a923)))+E(f331(f331(f39(x64951,f935(x64952,a923)),x64953),f331(f16(f935(x64952,a923),x64951),x64954)),f192(f935(x64952,a923)))
% 204.30/204.31 [6496]~E(x64963,f192(f935(x64961,a923)))+E(f331(f331(f40(x64961,f935(x64962,a923)),x64963),f331(f16(f935(x64962,a923),x64961),x64964)),f246(f935(x64962,a923)))
% 204.30/204.31 [6498]~P61(x64981)+E(f45(x64981,f331(f331(f81(x64981),x64982),x64983),f331(f331(f81(x64981),x64982),x64984)),f331(f331(f81(x64981),x64982),f45(x64981,x64983,x64984)))
% 204.30/204.31 [6669]E(f331(f315(x66691,x66692,f331(f16(x66692,x66691),x66693)),x66694),f246(f935(x66691,a923)))+~P107(f331(f331(f333(x66692),x66693),x66694))
% 204.30/204.31 [6692]~P107(f331(f331(f333(x66921),x66922),x66924))+P107(f331(f331(f333(x66921),x66922),f331(f331(f313(x66921),x66923),x66924)))
% 204.30/204.31 [6697]P107(f331(x66971,x66972))+~P107(f331(f164(x66973,x66971),f331(f331(f155(x66973),x66972),x66974)))
% 204.30/204.31 [6706]~E(x67063,f331(f331(f23(a927),f331(f193(f928(x67061)),x67062)),f78(a927)))+E(f118(x67061,f331(f331(f163(x67061,x67062),x67063),x67064)),f118(x67061,x67062))
% 204.30/204.31 [6724]~P109(x67241)+E(f331(f331(f105(f935(x67241,a923)),f331(f305(x67241),x67242)),f307(x67241,x67243,x67244)),f307(x67241,x67243,f331(f331(f237(x67241),x67242),x67244)))
% 204.30/204.31 [6725]~P109(x67251)+E(f331(f331(f105(f935(x67251,a923)),f331(f287(x67251),x67252)),f307(x67251,x67253,x67254)),f307(x67251,f331(f331(f238(x67251),x67252),x67253),x67254))
% 204.30/204.31 [6741]E(f331(f331(f105(f935(x67411,a923)),x67412),f331(f331(f313(x67411),x67413),x67414)),f331(f331(f105(f935(x67411,a923)),x67412),x67414))+P107(f331(f331(f333(x67411),x67413),x67412))
% 204.30/204.31 [6753]E(f174(x67531,x67532,f331(f331(f138(x67531),x67533),x67534)),f331(f331(f138(x67531),x67533),f174(x67531,x67532,x67534)))+P107(f331(f331(f333(x67531),x67532),f331(f176(x67531),x67533)))
% 204.30/204.31 [6758]~P83(x67581)+E(f331(f331(f81(x67581),f331(f331(f248(x67581),x67582),x67583)),f331(f331(f248(x67581),x67582),x67584)),f331(f331(f248(x67581),x67582),f331(f331(f80(a927),x67583),x67584)))
% 204.30/204.31 [6759]~P120(x67591)+E(f331(f331(f81(x67591),f331(f331(f248(x67591),x67592),x67593)),f331(f331(f248(x67591),x67592),x67594)),f331(f331(f248(x67591),x67592),f331(f331(f80(a927),x67593),x67594)))
% 204.30/204.31 [6795]~P100(x67951)+E(f331(f331(f105(x67951),f331(f331(f114(x67951),x67952),x67953)),f331(f331(f114(x67951),x67952),x67954)),f331(f331(f114(x67951),x67952),f331(f331(f105(x67951),x67953),x67954)))
% 204.30/204.31 [6796]~P120(x67961)+E(f331(f331(f80(x67961),f331(f331(f81(x67961),x67962),x67963)),f331(f331(f81(x67961),x67962),x67964)),f331(f331(f81(x67961),x67962),f331(f331(f80(x67961),x67963),x67964)))
% 204.30/204.31 [6797]~P100(x67971)+E(f331(f331(f114(x67971),f331(f331(f105(x67971),x67972),x67973)),f331(f331(f105(x67971),x67972),x67974)),f331(f331(f105(x67971),x67972),f331(f331(f114(x67971),x67973),x67974)))
% 204.30/204.31 [6798]~P109(x67981)+E(f331(f331(f238(x67981),f331(f331(f237(x67981),x67982),x67983)),f331(f331(f237(x67981),x67982),x67984)),f331(f331(f237(x67981),x67982),f331(f331(f238(x67981),x67983),x67984)))
% 204.30/204.31 [6799]~P109(x67991)+E(f331(f331(f237(x67991),f331(f331(f238(x67991),x67992),x67993)),f331(f331(f238(x67991),x67992),x67994)),f331(f331(f238(x67991),x67992),f331(f331(f237(x67991),x67993),x67994)))
% 204.30/204.31 [6832]~P61(x68321)+E(f45(x68321,f331(f331(f81(x68321),x68322),x68323),f331(f331(f81(x68321),x68324),x68323)),f331(f331(f81(x68321),f45(x68321,x68322,x68324)),x68323))
% 204.30/204.31 [6835]~E(f331(f193(f928(x68351)),x68353),f331(f193(f928(x68352)),x68354))+E(f331(f331(f158(f934(x68351,x68352),x68352),f260(x68351,x68352)),f331(f331(f185(x68351,x68352),x68353),x68354)),x68354)
% 204.30/204.31 [6836]~E(f331(f193(f928(x68361)),x68363),f331(f193(f928(x68362)),x68364))+E(f331(f331(f158(f934(x68361,x68362),x68361),f255(x68361,x68362)),f331(f331(f185(x68361,x68362),x68363),x68364)),x68363)
% 204.30/204.31 [6841]P107(f331(f164(x68411,x68412),x68413))+~P107(f331(f164(x68411,x68412),f331(f331(f155(x68411),x68414),x68413)))
% 204.30/204.31 [6842]P107(f331(f164(x68421,x68422),x68423))+~P107(f331(f164(x68421,x68422),f331(f331(f138(x68421),x68424),x68423)))
% 204.30/204.31 [6843]P107(f331(f164(x68431,x68432),x68433))+~P107(f331(f164(x68431,x68432),f331(f331(f138(x68431),x68433),x68434)))
% 204.30/204.31 [6848]~P62(x68481)+E(f45(x68481,f331(f331(f23(x68481),x68482),f45(x68481,x68483,x68484)),x68484),f45(x68481,f331(f331(f23(x68481),x68482),x68483),x68484))
% 204.30/204.31 [6849]~P61(x68491)+E(f45(x68491,f331(f331(f81(x68491),x68492),f45(x68491,x68493,x68494)),x68494),f45(x68491,f331(f331(f81(x68491),x68492),x68493),x68494))
% 204.30/204.31 [6851]~P61(x68511)+E(f45(x68511,f331(f331(f80(x68511),x68512),f45(x68511,x68513,x68514)),x68514),f45(x68511,f331(f331(f80(x68511),x68512),x68513),x68514))
% 204.30/204.31 [6930]~P109(x69301)+E(f331(f331(f105(f935(x69301,a923)),f307(x69301,x69302,x69303)),f331(f305(x69301),x69304)),f307(x69301,x69302,f331(f331(f237(x69301),x69303),x69304)))
% 204.30/204.31 [6931]~P109(x69311)+E(f331(f331(f105(f935(x69311,a923)),f307(x69311,x69312,x69313)),f331(f287(x69311),x69314)),f307(x69311,f331(f331(f238(x69311),x69312),x69314),x69313))
% 204.30/204.31 [6934]~E(f331(f193(f928(x69341)),x69343),f331(f193(f928(x69342)),x69344))+E(f331(f331(f185(x69341,x69342),f331(f172(x69341),x69343)),f331(f172(x69342),x69344)),f331(f172(f934(x69341,x69342)),f331(f331(f185(x69341,x69342),x69343),x69344)))
% 204.30/204.31 [6946]E(x69461,f331(f331(f23(a927),f331(f193(f928(x69462)),x69463)),f78(a927)))+E(f118(x69462,f331(f331(f163(x69462,x69463),x69461),x69464)),f331(f331(f163(x69462,f118(x69462,x69463)),x69461),x69464))
% 204.30/204.31 [6960]~P107(f331(f141(x69602),x69604))+P107(f331(f141(f934(x69601,x69602)),f331(f331(f185(x69601,x69602),x69603),x69604)))
% 204.30/204.31 [6961]~P107(f331(f141(x69611),x69613))+P107(f331(f141(f934(x69611,x69612)),f331(f331(f185(x69611,x69612),x69613),x69614)))
% 204.30/204.31 [7222]E(f331(f331(f36(a927),x72221),x72222),x72223)+~P107(f331(f48(x72221,x72222),f331(f331(f256(a927,a927),x72223),x72224)))
% 204.30/204.31 [7246]E(f45(a927,x72461,x72462),x72463)+~P107(f331(f48(x72461,x72462),f331(f331(f256(a927,a927),x72464),x72463)))
% 204.30/204.31 [7249]P107(f331(f141(x72491),x72492))+~P107(f331(f141(x72493),f331(f331(f158(x72491,x72493),x72494),x72492)))
% 204.30/204.31 [7257]~P23(x72571,x72572,f331(f331(f313(f926(x72571)),x72573),x72574))+P23(x72571,x72572,f331(f331(f313(f926(x72571)),x72573),f192(f935(f926(x72571),a923))))
% 204.30/204.31 [7334]E(f174(x73341,x73342,f331(f331(f138(x73341),x73343),x73344)),f331(f331(f138(x73341),f174(x73341,x73342,x73343)),x73344))+~P107(f331(f331(f333(x73341),x73342),f331(f176(x73341),x73343)))
% 204.30/204.31 [7425]~P62(x74251)+E(f45(x74251,f331(f331(f23(x74251),f45(x74251,x74252,x74253)),x74254),x74253),f45(x74251,f331(f331(f23(x74251),x74252),x74254),x74253))
% 204.30/204.31 [7428]~P61(x74281)+E(f45(x74281,f331(f331(f81(x74281),f45(x74281,x74282,x74283)),x74284),x74283),f45(x74281,f331(f331(f81(x74281),x74282),x74284),x74283))
% 204.30/204.31 [7429]~P61(x74291)+E(f45(x74291,f331(f331(f80(x74291),f45(x74291,x74292,x74293)),x74294),x74293),f45(x74291,f331(f331(f80(x74291),x74292),x74294),x74293))
% 204.30/204.31 [7621]~E(x76211,f331(f331(f155(x76212),x76213),x76214))+~P107(f331(f331(f239(a927),f331(f193(f928(x76212)),x76211)),f331(f193(f928(x76212)),x76214)))
% 204.30/204.31 [7824]P24(x78241,x78242,x78243,f331(f176(x78241),x78244))+~P107(f331(f141(x78242),f331(f331(f158(x78241,x78242),x78243),x78244)))
% 204.30/204.31 [7897]~P107(f331(f331(f239(f935(x78971,a923)),x78972),x78974))+P107(f331(f331(f239(f935(x78971,a923)),x78972),f331(f331(f313(x78971),x78973),x78974)))
% 204.30/204.31 [7933]~P62(x79331)+E(f45(x79331,f331(f331(f23(x79331),f45(x79331,x79332,x79333)),f45(x79331,x79334,x79333)),x79333),f45(x79331,f331(f331(f23(x79331),x79332),x79334),x79333))
% 204.30/204.31 [7934]~P61(x79341)+E(f45(x79341,f331(f331(f81(x79341),f45(x79341,x79342,x79343)),f45(x79341,x79344,x79343)),x79343),f45(x79341,f331(f331(f81(x79341),x79342),x79344),x79343))
% 204.30/204.31 [7935]~P61(x79351)+E(f45(x79351,f331(f331(f80(x79351),f45(x79351,x79352,x79353)),f45(x79351,x79354,x79353)),x79353),f45(x79351,f331(f331(f80(x79351),x79352),x79354),x79353))
% 204.30/204.31 [8041]~E(f331(x80414,f841(x80414,x80413,x80411,x80412)),f192(f935(x80412,a923)))+E(f331(f331(f39(x80411,f935(x80412,a923)),x80413),x80414),f192(f935(x80412,a923)))
% 204.30/204.31 [8042]~E(f331(x80424,f895(x80424,x80423,x80421,x80422)),f246(f935(x80422,a923)))+E(f331(f331(f40(x80421,f935(x80422,a923)),x80423),x80424),f246(f935(x80422,a923)))
% 204.30/204.31 [8043]~E(f331(x80434,f847(x80434,x80433,x80432,x80431)),f192(f935(x80432,a923)))+E(f331(f331(f39(x80431,f935(x80432,a923)),x80433),x80434),f192(f935(x80432,a923)))
% 204.30/204.31 [8044]~E(f331(x80444,f896(x80444,x80443,x80442,x80441)),f246(f935(x80442,a923)))+E(f331(f331(f40(x80441,f935(x80442,a923)),x80443),x80444),f246(f935(x80442,a923)))
% 204.30/204.31 [8436]P107(f331(x84361,x84362))+~P107(f331(f331(f333(x84363),x84362),f331(f331(f105(f935(x84363,a923)),x84364),f331(f266(x84363),x84361))))
% 204.30/204.31 [8473]~P107(f331(f331(f239(f935(x84731,a923)),x84733),x84734))+P107(f331(f331(f239(f935(x84731,a923)),f331(f331(f313(x84731),x84732),x84733)),f331(f331(f313(x84731),x84732),x84734)))
% 204.30/204.31 [8643]P107(f331(f331(f198(x86431),x86432),f893(x86433,x86432,x86434,x86431)))+~P107(f331(f331(f198(f30(x86431,x86434)),x86432),x86433))
% 204.30/204.31 [8644]P107(f331(f331(f198(x86441),x86442),f354(x86443,x86442,x86444,x86441)))+~P107(f331(f331(f198(f30(x86441,x86444)),x86442),x86443))
% 204.30/204.31 [8653]P107(f331(x86532,x86533))+E(f331(f331(f142(x86531),f331(f193(f928(x86531)),f181(x86531,x86532,f331(f331(f155(x86531),x86533),x86534)))),f331(f331(f155(x86531),x86533),x86534)),f331(f331(f155(x86531),x86533),x86534))
% 204.30/204.31 [8769]~P107(f331(f331(f240(a927),f331(x87694,x87692)),f331(x87694,x87693)))+P107(f331(f331(f333(f934(x87691,x87691)),f331(f331(f256(x87691,x87691),x87692),x87693)),f331(f331(f292(a927,x87691),a244),x87694)))
% 204.30/204.31 [8865]~P107(f331(x88652,f748(x88654,x88652,x88653,x88651)))+E(f181(x88651,x88652,f331(f331(f138(x88651),x88653),x88654)),f331(f331(f138(x88651),x88653),f181(x88651,x88652,x88654)))
% 204.30/204.31 [8942]P24(f928(x89421),f928(x89422),f331(f158(x89421,x89422),x89423),x89424)+~P24(x89421,x89422,x89423,f37(f935(x89421,a923),f331(f314(f928(x89421),f935(x89421,a923),f176(x89421)),x89424)))
% 204.30/204.31 [9017]~P107(f331(x90172,x90173))+E(f331(f331(f142(x90171),f331(f193(f928(x90171)),f181(x90171,x90172,f331(f331(f155(x90171),x90173),x90174)))),f331(f331(f155(x90171),x90173),x90174)),f331(f331(f142(x90171),f331(f193(f928(x90171)),f181(x90171,x90172,x90174))),x90174))
% 204.30/204.31 [9058]~E(x90582,x90583)+E(f331(f140(x90581,f331(f331(f8(a923,a923,x90581),a326),f331(a328,x90582))),f331(f331(f155(x90581),x90583),x90584)),f331(f140(x90581,f331(f331(f8(a923,a923,x90581),a326),f331(a328,x90582))),x90584))
% 204.30/204.31 [9068]E(f331(f331(f39(x90681,f935(x90682,a923)),x90683),x90684),f192(f935(x90682,a923)))+P107(f331(f331(f333(x90681),f841(x90684,x90683,x90681,x90682)),x90683))
% 204.30/204.31 [9069]E(f331(f331(f40(x90691,f935(x90692,a923)),x90693),x90694),f246(f935(x90692,a923)))+P107(f331(f331(f333(x90691),f895(x90694,x90693,x90691,x90692)),x90693))
% 204.30/204.31 [9070]E(f331(f331(f39(x90701,f935(x90702,a923)),x90703),x90704),f192(f935(x90702,a923)))+P107(f331(f331(f333(x90701),f847(x90704,x90703,x90702,x90701)),x90703))
% 204.30/204.31 [9071]E(f331(f331(f40(x90711,f935(x90712,a923)),x90713),x90714),f246(f935(x90712,a923)))+P107(f331(f331(f333(x90711),f896(x90714,x90713,x90712,x90711)),x90713))
% 204.30/204.31 [9109]P107(f331(f331(f240(a927),f331(x91091,x91092)),f331(x91091,x91093)))+~P107(f331(f331(f333(f934(x91094,x91094)),f331(f331(f256(x91094,x91094),x91092),x91093)),f331(f331(f292(a927,x91094),a244),x91091)))
% 204.30/204.31 [9135]E(f181(x91351,x91352,f331(f331(f138(x91351),x91353),x91354)),f331(f331(f138(x91351),x91353),f181(x91351,x91352,x91354)))+P107(f331(f331(f333(x91351),f748(x91354,x91352,x91353,x91351)),f331(f176(x91351),x91353)))
% 204.30/204.31 [9172]P107(f331(f331(f198(x91721),f893(x91722,x91723,x91721,x91724)),x91722))+~P107(f331(f331(f198(f30(x91724,x91721)),x91723),x91722))
% 204.30/204.31 [9173]P107(f331(f331(f198(x91731),f354(x91732,x91733,x91731,x91734)),x91732))+~P107(f331(f331(f198(f30(x91734,x91731)),x91733),x91732))
% 204.30/204.31 [9188]~P25(x91881,x91882,x91883,f246(f935(x91881,a923)),f246(f935(x91882,a923)))+E(f331(f314(x91881,x91882,x91883),f331(f79(f935(x91881,a923)),x91884)),f331(f79(f935(x91882,a923)),f331(f314(x91881,x91882,x91883),x91884)))
% 204.30/204.31 [9294]P107(f331(f331(f333(x92941),f522(x92942,x92943,x92944,x92941)),x92943))+~P107(f331(f331(f333(f935(x92941,a923)),x92944),f331(f331(f60(x92941),x92943),x92942)))
% 204.30/204.31 [9297]E(x92971,x92972)+~P107(f331(f331(f333(f934(x92973,x92973)),f331(f331(f256(x92973,x92973),x92971),x92972)),f331(f331(f187(f934(x92973,x92973),a923),f2(a927)),x92974)))
% 204.30/204.31 [9378]E(f331(f289(x93781,x93781,x93782),f331(f331(f313(x93781),f522(x93782,x93783,x93784,x93781)),f192(f935(x93781,a923)))),x93784)+~P107(f331(f331(f333(f935(x93781,a923)),x93784),f331(f331(f60(x93781),x93783),x93782)))
% 204.30/204.31 [9383]~P107(f331(f331(f333(f934(x93831,x93831)),f331(f331(f256(x93831,x93831),x93833),x93832)),f311(x93831,x93834)))+P107(f331(f331(f333(f934(x93831,x93831)),f331(f331(f256(x93831,x93831),x93832),x93833)),f311(x93831,f331(f290(x93831,x93831),x93834))))
% 204.30/204.31 [9396]~P61(x93961)+E(f331(f331(f80(x93961),f331(f331(f80(x93961),f331(f331(f81(x93961),x93962),f331(f331(f36(x93961),x93963),x93962))),f45(x93961,x93963,x93962))),x93964),f331(f331(f80(x93961),x93963),x93964))
% 204.30/204.31 [9409]~P107(f331(f331(f333(x94091),x94093),x94094))+P107(f331(f331(f333(f935(x94091,a923)),f331(f289(x94091,x94091,x94092),f331(f331(f313(x94091),x94093),f192(f935(x94091,a923))))),f331(f331(f60(x94091),x94094),x94092)))
% 204.30/204.31 [9421]P107(f331(f331(f333(f934(x94211,x94211)),f331(f331(f256(x94211,x94211),x94212),x94213)),f311(x94211,x94214)))+~P107(f331(f331(f333(f934(x94211,x94211)),f331(f331(f256(x94211,x94211),x94213),x94212)),f311(x94211,f331(f290(x94211,x94211),x94214))))
% 204.30/204.31 [9507]E(f331(f331(f163(x95071,f331(f172(x95071),x95072)),f331(f331(f23(a927),f331(f331(f23(a927),f331(f193(f928(x95071)),x95072)),x95073)),f78(a927))),x95074),f331(f172(x95071),f331(f331(f163(x95071,x95072),x95073),x95074)))+~P107(f331(f331(f240(a927),x95073),f331(f193(f928(x95071)),x95072)))
% 204.30/204.31 [9510]~P107(f331(x95102,f743(x95104,x95102,x95103,x95101)))+E(f331(f331(f142(x95101),f331(f193(f928(x95101)),f181(x95101,x95102,f331(f331(f138(x95101),x95103),x95104)))),f331(f331(f138(x95101),x95103),x95104)),f331(f331(f142(x95101),f331(f193(f928(x95101)),f181(x95101,x95102,x95104))),x95104))
% 204.30/204.31 [9557]~P24(x95572,x95571,x95573,f246(f935(x95572,a923)))+P107(f331(f331(f239(f935(x95571,a923)),f331(f314(x95572,x95571,x95573),f331(f79(f935(x95572,a923)),x95574))),f331(f79(f935(x95571,a923)),f331(f314(x95572,x95571,x95573),x95574))))
% 204.30/204.31 [9569]~P4(x95691)+E(f331(f146(x95691,x95692,f331(f7(x95692,x95691,x95691),f331(f331(f8(x95691,f935(x95691,x95691),x95692),f114(x95691)),x95693)),f192(x95691)),x95694),f331(f331(f39(x95692,x95691),f331(f176(x95692),x95694)),x95693))
% 204.30/204.31 [9570]~P4(x95701)+E(f331(f146(x95701,x95702,f331(f7(x95702,x95701,x95701),f331(f331(f8(x95701,f935(x95701,x95701),x95702),f105(x95701)),x95703)),f246(x95701)),x95704),f331(f331(f40(x95702,x95701),f331(f176(x95702),x95704)),x95703))
% 204.30/204.31 [9582]E(f331(f331(f142(x95821),f331(f193(f928(x95821)),f181(x95821,x95822,f331(f331(f138(x95821),x95823),x95824)))),f331(f331(f138(x95821),x95823),x95824)),f331(f331(f142(x95821),f331(f193(f928(x95821)),f181(x95821,x95822,x95824))),x95824))+P107(f331(f331(f333(x95821),f743(x95824,x95822,x95823,x95821)),f331(f176(x95821),x95823)))
% 204.30/204.31 [9652]~P107(f331(f331(f333(f934(f928(x96524),f928(x96524))),f331(f331(f256(f928(x96524),f928(x96524)),x96523),x96522)),f161(x96524,x96521)))+P107(f331(f331(f240(a927),f677(x96521,x96522,x96523,x96524)),f331(f193(f928(x96524)),x96523)))
% 204.30/204.31 [9653]~P61(x96531)+E(f331(f331(f80(x96531),f331(f331(f80(x96531),f331(f331(f81(x96531),f331(f331(f36(x96531),x96532),x96533)),x96533)),f45(x96531,x96532,x96533))),x96534),f331(f331(f80(x96531),x96532),x96534))
% 204.30/204.31 [9680]~P107(f331(f331(f333(f934(f928(x96801),f928(x96801))),f331(f331(f256(f928(x96801),f928(x96801)),x96802),x96803)),f331(f290(f928(x96801),f928(x96801)),f161(x96801,x96804))))+P107(f331(f331(f333(f934(f928(x96801),f928(x96801))),f331(f331(f256(f928(x96801),f928(x96801)),x96802),x96803)),f161(x96801,f331(f290(x96801,x96801),x96804))))
% 204.30/204.31 [9681]P107(f331(f331(f333(f934(f928(x96811),f928(x96811))),f331(f331(f256(f928(x96811),f928(x96811)),x96812),x96813)),f331(f290(f928(x96811),f928(x96811)),f161(x96811,x96814))))+~P107(f331(f331(f333(f934(f928(x96811),f928(x96811))),f331(f331(f256(f928(x96811),f928(x96811)),x96812),x96813)),f161(x96811,f331(f290(x96811,x96811),x96814))))
% 204.30/204.31 [9725]~P107(f331(f331(f333(x97251),x97253),f331(f268(x97251,x97252),x97254)))+P107(f331(f331(f333(f934(x97251,x97252)),f331(f331(f256(x97251,x97252),x97253),f565(x97254,x97252,x97253,x97251))),x97254))
% 204.30/204.31 [9726]~P107(f331(f331(f333(x97261),x97263),f331(f268(x97261,x97262),x97264)))+P107(f331(f331(f333(f934(x97261,x97262)),f331(f331(f256(x97261,x97262),x97263),f570(x97264,x97262,x97263,x97261))),x97264))
% 204.30/204.31 [9887]~P107(f331(f331(f333(f934(x98871,x98871)),f331(f331(f256(x98871,x98871),x98872),x98874)),f331(f331(f293(x98871,x98871,x98871),x98873),f311(x98871,x98873))))+P107(f331(f331(f333(f934(x98871,x98871)),f331(f331(f256(x98871,x98871),x98872),f639(x98873,x98874,x98872,x98871))),x98873))
% 204.30/204.31 [10045]P10(x100451,x100452,x100453,x100454)+P107(f331(f331(f333(f934(x100451,x100451)),f331(f331(f256(x100451,x100451),f859(x100452,x100454,x100453,x100451)),f858(x100452,x100454,x100453,x100451))),x100453))
% 204.30/204.31 [10052]~P107(f331(f331(f333(f934(x100522,x100521)),x100524),f331(f290(x100521,x100522),x100523)))+P107(f331(f331(f333(f934(x100521,x100522)),f331(f331(f256(x100521,x100522),f650(x100523,x100524,x100521,x100522)),f649(x100523,x100524,x100521,x100522))),x100523))
% 204.30/204.31 [10076]~P107(f331(f331(f333(f934(f928(x100761),f928(x100761))),f331(f331(f256(f928(x100761),f928(x100761)),x100764),x100763)),f161(x100761,x100762)))+P107(f331(f331(f333(f934(x100761,x100761)),f331(f331(f256(x100761,x100761),f689(x100762,x100763,x100764,x100761)),f690(x100762,x100763,x100764,x100761))),x100762))
% 204.30/204.31 [10167]~P107(f331(f331(f333(f934(f928(x101671),f928(x101671))),f331(f331(f256(f928(x101671),f928(x101671)),x101672),x101674)),f161(x101671,x101673)))+P107(f331(f331(f333(f934(x101671,x101671)),f331(f331(f256(x101671,x101671),f331(f331(f168(x101671),x101672),f677(x101673,x101674,x101672,x101671))),f678(x101673,x101674,x101672,x101671))),x101673))
% 204.30/204.31 [10189]~P107(f331(f61(x101892),x101894))+E(f331(f331(f331(f65(f935(x101891,a923),x101892,f114(f935(x101891,a923))),f331(f331(f7(x101892,f935(x101891,a923),f935(x101891,a923)),f331(f331(f8(x101891,f935(f935(x101891,a923),f935(x101891,a923)),x101892),f313(x101891)),x101893)),f192(f935(x101891,a923)))),f192(f935(x101891,a923))),x101894),f331(f314(x101892,x101891,x101893),x101894))
% 204.30/204.31 [10284]~P24(x102841,x102842,x102843,f246(f935(x102841,a923)))+P107(f331(f331(f239(f935(x102841,a923)),f331(f315(x102841,x102842,x102843),f331(f331(f313(x102842),x102844),f192(f935(x102842,a923))))),f331(f331(f313(x102841),f85(x102841,f331(f331(f7(x102841,x102842,a923),f331(f331(f8(x102842,f935(x102842,a923),x102841),a328),x102843)),x102844))),f192(f935(x102841,a923)))))
% 204.30/204.31 [5866]~E(f331(f331(f138(x58661),x58662),x58664),x58663)+E(f331(f331(f179(x58661),f331(f193(f928(x58661)),x58662)),x58663),x58662)
% 204.30/204.31 [5867]~E(f331(f331(f138(x58672),x58673),x58671),x58674)+E(x58671,f331(f331(f142(x58672),f331(f193(f928(x58672)),x58673)),x58674))
% 204.30/204.31 [5878]~E(x58784,f2(a927))+E(f331(f331(f168(x58781),f331(f331(f155(x58781),x58782),x58783)),x58784),x58782)
% 204.30/204.31 [6417]~P120(x64171)+E(f331(f331(f248(x64171),f331(f331(f248(x64171),x64172),x64173)),x64174),f331(f331(f248(x64171),x64172),f331(f331(f81(a927),x64173),x64174)))
% 204.30/204.31 [6418]~P83(x64181)+E(f331(f331(f248(x64181),f331(f331(f248(x64181),x64182),x64183)),x64184),f331(f331(f248(x64181),x64182),f331(f331(f81(a927),x64183),x64184)))
% 204.30/204.31 [6426]E(x64261,f2(a927))+E(f331(f331(f168(x64262),f331(f331(f155(x64262),x64263),x64264)),x64261),f331(f331(f168(x64262),x64264),f331(f331(f23(a927),x64261),f78(a927))))
% 204.30/204.31 [6453]~P124(x64531)+E(f331(f331(f294(x64531),f331(f331(f81(x64531),x64532),x64533)),x64534),f331(f331(f81(x64531),x64532),f331(f331(f294(x64531),x64533),x64534)))
% 204.30/204.31 [6455]~P79(x64551)+E(f331(f331(f114(x64551),f331(f331(f114(x64551),x64552),x64553)),x64554),f331(f331(f114(x64551),x64552),f331(f331(f114(x64551),x64553),x64554)))
% 204.30/204.31 [6457]~P102(x64571)+E(f331(f331(f114(x64571),f331(f331(f114(x64571),x64572),x64573)),x64574),f331(f331(f114(x64571),x64572),f331(f331(f114(x64571),x64573),x64574)))
% 204.30/204.31 [6458]~P69(x64581)+E(f331(f331(f81(x64581),f331(f331(f81(x64581),x64582),x64583)),x64584),f331(f331(f81(x64581),x64582),f331(f331(f81(x64581),x64583),x64584)))
% 204.30/204.31 [6459]~P120(x64591)+E(f331(f331(f81(x64591),f331(f331(f81(x64591),x64592),x64593)),x64594),f331(f331(f81(x64591),x64592),f331(f331(f81(x64591),x64593),x64594)))
% 204.30/204.31 [6461]~P79(x64611)+E(f331(f331(f105(x64611),f331(f331(f105(x64611),x64612),x64613)),x64614),f331(f331(f105(x64611),x64612),f331(f331(f105(x64611),x64613),x64614)))
% 204.30/204.31 [6463]~P103(x64631)+E(f331(f331(f105(x64631),f331(f331(f105(x64631),x64632),x64633)),x64634),f331(f331(f105(x64631),x64632),f331(f331(f105(x64631),x64633),x64634)))
% 204.30/204.31 [6464]~P70(x64641)+E(f331(f331(f80(x64641),f331(f331(f80(x64641),x64642),x64643)),x64644),f331(f331(f80(x64641),x64642),f331(f331(f80(x64641),x64643),x64644)))
% 204.30/204.31 [6465]~P120(x64651)+E(f331(f331(f80(x64651),f331(f331(f80(x64651),x64652),x64653)),x64654),f331(f331(f80(x64651),x64652),f331(f331(f80(x64651),x64653),x64654)))
% 204.30/204.31 [6467]~P109(x64671)+E(f331(f331(f237(x64671),f331(f331(f237(x64671),x64672),x64673)),x64674),f331(f331(f237(x64671),x64672),f331(f331(f237(x64671),x64673),x64674)))
% 204.30/204.31 [6469]~P109(x64691)+E(f331(f331(f238(x64691),f331(f331(f238(x64691),x64692),x64693)),x64694),f331(f331(f238(x64691),x64692),f331(f331(f238(x64691),x64693),x64694)))
% 204.30/204.31 [6478]~P61(x64781)+E(f45(x64781,f331(f331(f80(x64781),x64782),f331(f331(f81(x64781),x64783),x64784)),x64784),f45(x64781,x64782,x64784))
% 204.30/204.31 [6479]~P61(x64791)+E(f45(x64791,f331(f331(f80(x64791),x64792),f331(f331(f81(x64791),x64793),x64794)),x64793),f45(x64791,x64792,x64793))
% 204.30/204.31 [6616]E(f331(f331(f168(x66161),f331(f331(f179(x66161),x66162),x66163)),x66164),f331(f331(f168(x66161),x66163),x66164))+~P107(f331(f331(f240(a927),x66164),x66162))
% 204.30/204.31 [6791]~E(x67912,x67914)+P107(f331(f331(f176(x67911),f331(f331(f155(x67911),x67912),x67913)),x67914))
% 204.30/204.31 [6793]~P120(x67931)+E(f331(f331(f81(x67931),f331(f331(f81(x67931),x67932),x67933)),x67934),f331(f331(f81(x67931),f331(f331(f81(x67931),x67932),x67934)),x67933))
% 204.30/204.31 [6794]~P120(x67941)+E(f331(f331(f80(x67941),f331(f331(f80(x67941),x67942),x67943)),x67944),f331(f331(f80(x67941),f331(f331(f80(x67941),x67942),x67944)),x67943))
% 204.30/204.31 [6854]~P147(x68542)+E(f331(f331(f6(x68541,x68542),f331(f16(x68542,x68541),x68543)),x68544),f331(f331(f81(x68542),f331(f104(x68542),f331(f35(x68541),x68544))),x68543))
% 204.30/204.31 [7022]E(f331(f331(f105(f935(x70221,a923)),f331(f331(f313(x70221),x70222),x70223)),x70224),f331(f331(f105(f935(x70221,a923)),x70223),x70224))+P107(f331(f331(f333(x70221),x70222),x70224))
% 204.30/204.31 [7089]~P100(x70891)+E(f331(f331(f105(x70891),f331(f331(f114(x70891),x70892),x70893)),f331(f331(f114(x70891),x70894),x70893)),f331(f331(f114(x70891),f331(f331(f105(x70891),x70892),x70894)),x70893))
% 204.30/204.31 [7090]~P81(x70901)+E(f331(f331(f237(x70901),f331(f331(f23(x70901),x70902),x70903)),f331(f331(f23(x70901),x70904),x70903)),f331(f331(f23(x70901),f331(f331(f237(x70901),x70902),x70904)),x70903))
% 204.30/204.31 [7091]~P81(x70911)+E(f331(f331(f238(x70911),f331(f331(f23(x70911),x70912),x70913)),f331(f331(f23(x70911),x70914),x70913)),f331(f331(f23(x70911),f331(f331(f238(x70911),x70912),x70914)),x70913))
% 204.30/204.31 [7092]~P115(x70921)+E(f331(f331(f80(x70921),f331(f331(f81(x70921),x70922),x70923)),f331(f331(f81(x70921),x70924),x70923)),f331(f331(f81(x70921),f331(f331(f80(x70921),x70922),x70924)),x70923))
% 204.30/204.31 [7094]~P100(x70941)+E(f331(f331(f114(x70941),f331(f331(f105(x70941),x70942),x70943)),f331(f331(f105(x70941),x70944),x70943)),f331(f331(f105(x70941),f331(f331(f114(x70941),x70942),x70944)),x70943))
% 204.30/204.31 [7095]~P86(x70951)+E(f331(f331(f237(x70951),f331(f331(f80(x70951),x70952),x70953)),f331(f331(f80(x70951),x70954),x70953)),f331(f331(f80(x70951),f331(f331(f237(x70951),x70952),x70954)),x70953))
% 204.30/204.31 [7096]~P86(x70961)+E(f331(f331(f238(x70961),f331(f331(f80(x70961),x70962),x70963)),f331(f331(f80(x70961),x70964),x70963)),f331(f331(f80(x70961),f331(f331(f238(x70961),x70962),x70964)),x70963))
% 204.30/204.31 [7097]~P71(x70971)+E(f331(f331(f81(x70971),f331(f331(f248(x70971),x70972),x70973)),f331(f331(f248(x70971),x70974),x70973)),f331(f331(f248(x70971),f331(f331(f81(x70971),x70972),x70974)),x70973))
% 204.30/204.31 [7098]~P120(x70981)+E(f331(f331(f81(x70981),f331(f331(f248(x70981),x70982),x70983)),f331(f331(f248(x70981),x70984),x70983)),f331(f331(f248(x70981),f331(f331(f81(x70981),x70982),x70984)),x70983))
% 204.30/204.31 [7099]~P64(x70991)+E(f331(f331(f294(x70991),f331(f331(f248(x70991),x70992),x70993)),f331(f331(f248(x70991),x70994),x70993)),f331(f331(f248(x70991),f331(f331(f294(x70991),x70992),x70994)),x70993))
% 204.30/204.31 [7100]~P124(x71001)+E(f331(f331(f23(x71001),f331(f331(f294(x71001),x71002),x71003)),f331(f331(f294(x71001),x71004),x71003)),f331(f331(f294(x71001),f331(f331(f23(x71001),x71002),x71004)),x71003))
% 204.30/204.31 [7101]~P124(x71011)+E(f331(f331(f80(x71011),f331(f331(f294(x71011),x71012),x71013)),f331(f331(f294(x71011),x71014),x71013)),f331(f331(f294(x71011),f331(f331(f80(x71011),x71012),x71014)),x71013))
% 204.30/204.31 [7102]~P109(x71021)+E(f331(f331(f238(x71021),f331(f331(f237(x71021),x71022),x71023)),f331(f331(f237(x71021),x71024),x71023)),f331(f331(f237(x71021),f331(f331(f238(x71021),x71022),x71024)),x71023))
% 204.30/204.31 [7103]~P109(x71031)+E(f331(f331(f237(x71031),f331(f331(f238(x71031),x71032),x71033)),f331(f331(f238(x71031),x71034),x71033)),f331(f331(f238(x71031),f331(f331(f237(x71031),x71032),x71034)),x71033))
% 204.30/204.31 [7104]~P120(x71041)+E(f331(f331(f80(x71041),f331(f331(f81(x71041),x71042),x71043)),f331(f331(f81(x71041),x71044),x71043)),f331(f331(f81(x71041),f331(f331(f80(x71041),x71042),x71044)),x71043))
% 204.30/204.31 [7135]E(f331(f331(f163(x71351,x71352),x71353),x71354),x71352)+~P107(f331(f331(f239(a927),f331(f193(f928(x71351)),x71352)),x71353))
% 204.30/204.31 [7161]~P107(f331(x71613,x71614))+P107(f331(f331(f331(f114(f935(x71611,a923)),x71612),x71613),x71614))
% 204.30/204.31 [7163]~P107(f331(x71632,x71634))+P107(f331(f331(f331(f114(f935(x71631,a923)),x71632),x71633),x71634))
% 204.30/204.31 [7184]E(f331(f331(f168(x71841),f331(f331(f138(x71841),x71842),x71843)),x71844),f331(f331(f168(x71841),x71842),x71844))+~P107(f331(f331(f240(a927),x71844),f331(f193(f928(x71841)),x71842)))
% 204.30/204.31 [7195]E(f331(f331(f23(f935(x71951,a923)),f331(f331(f313(x71951),x71952),x71953)),x71954),f331(f331(f23(f935(x71951,a923)),x71953),x71954))+~P107(f331(f331(f333(x71951),x71952),x71954))
% 204.30/204.31 [7235]~E(f143(a927,f331(f306(a927,x72351),x72352)),f331(f331(f155(a927),x72354),x72353))+E(f143(a927,f331(f306(a927,f331(f331(f80(a927),x72351),f78(a927))),x72352)),x72353)
% 204.30/204.31 [7258]~P107(f331(f331(f176(x72581),x72583),x72584))+P107(f331(f331(f176(x72581),f331(f331(f155(x72581),x72582),x72583)),x72584))
% 204.30/204.31 [7309]E(x73091,f2(a927))+E(f331(f331(f155(x73092),x73093),f331(f331(f179(x73092),f331(f331(f23(a927),x73091),f78(a927))),x73094)),f331(f331(f179(x73092),x73091),f331(f331(f155(x73092),x73093),x73094)))
% 204.30/204.31 [7409]E(f331(f331(f168(x74091),x74092),f331(f331(f23(a927),x74093),f331(f193(f928(x74091)),x74094))),f331(f331(f168(x74091),f331(f331(f138(x74091),x74094),x74092)),x74093))+P107(f331(f331(f240(a927),x74093),f331(f193(f928(x74091)),x74094)))
% 204.30/204.31 [7439]E(f331(f331(f105(f935(x74391,a923)),x74392),f331(f331(f313(x74391),x74393),x74394)),f331(f331(f313(x74391),x74393),f331(f331(f105(f935(x74391,a923)),x74392),x74394)))+~P107(f331(f331(f333(x74391),x74393),x74392))
% 204.30/204.31 [7477]E(f331(f331(f168(x74771),f331(f331(f163(x74771,x74772),x74773),x74774)),x74773),x74774)+~P107(f331(f331(f240(a927),x74773),f331(f193(f928(x74771)),x74772)))
% 204.30/204.31 [7499]E(x74991,f192(f935(x74992,a923)))+E(f331(f314(f934(x74993,x74992),x74993,f255(x74993,x74992)),f331(f331(f258(x74993,x74992),x74994),f331(f16(f935(x74992,a923),x74993),x74991))),x74994)
% 204.30/204.31 [7500]E(x75001,f192(f935(x75002,a923)))+E(f331(f314(f934(x75002,x75003),x75003,f260(x75002,x75003)),f331(f331(f258(x75002,x75003),x75001),f331(f16(f935(x75003,a923),x75002),x75004))),x75004)
% 204.30/204.31 [7571]E(f331(f331(f23(f935(x75711,a923)),f331(f331(f313(x75711),x75712),x75713)),x75714),f331(f331(f313(x75711),x75712),f331(f331(f23(f935(x75711,a923)),x75713),x75714)))+P107(f331(f331(f333(x75711),x75712),x75714))
% 204.30/204.31 [7607]~E(x76074,f192(f935(x76072,a923)))+E(f331(f314(f934(x76071,x76072),x76071,f255(x76071,x76072)),f331(f331(f258(x76071,x76072),x76073),f331(f16(f935(x76072,a923),x76071),x76074))),f192(f935(x76071,a923)))
% 204.30/204.31 [7608]~E(x76083,f192(f935(x76081,a923)))+E(f331(f314(f934(x76081,x76082),x76082,f260(x76081,x76082)),f331(f331(f258(x76081,x76082),x76083),f331(f16(f935(x76082,a923),x76081),x76084))),f192(f935(x76082,a923)))
% 204.30/204.31 [7661]~P107(f331(f331(f333(x76611),x76612),x76614))+P107(f331(f331(f333(x76611),x76612),f331(f331(f114(f935(x76611,a923)),x76613),x76614)))
% 204.30/204.31 [7664]~P107(f331(f331(f333(x76641),x76642),x76643))+P107(f331(f331(f333(x76641),x76642),f331(f331(f114(f935(x76641,a923)),x76643),x76644)))
% 204.30/204.31 [7682]E(f331(f331(f105(f935(x76821,a923)),f331(f331(f313(x76821),x76822),x76823)),x76824),f331(f331(f313(x76821),x76822),f331(f331(f105(f935(x76821,a923)),x76823),x76824)))+~P107(f331(f331(f333(x76821),x76822),x76824))
% 204.30/204.31 [7955]P107(f331(x79551,x79552))+~P107(f331(f331(f331(f105(f935(x79553,a923)),x79554),x79551),x79552))
% 204.30/204.31 [7956]P107(f331(x79561,x79562))+~P107(f331(f331(f331(f105(f935(x79563,a923)),x79561),x79564),x79562))
% 204.30/204.31 [7957]E(f331(f331(f6(x79571,a927),x79572),f331(f331(f23(f935(x79571,a923)),x79573),f331(f331(f313(x79571),x79574),f192(f935(x79571,a923))))),f331(f331(f6(x79571,a927),x79572),x79573))+P107(f331(f331(f333(x79571),x79574),x79573))
% 204.30/204.31 [7963]~P72(x79631)+E(f331(f169(x79631),f331(f331(f158(a927,x79631),x79632),f143(a927,f331(f306(a927,x79633),x79634)))),f331(f331(f6(a927,x79631),x79632),f331(f176(a927),f143(a927,f331(f306(a927,x79633),x79634)))))
% 204.30/204.31 [7964]~P72(x79641)+E(f331(f331(f6(a927,x79641),x79642),f331(f176(a927),f143(a927,f331(f306(a927,x79643),x79644)))),f331(f169(x79641),f331(f331(f158(a927,x79641),x79642),f143(a927,f331(f306(a927,x79643),x79644)))))
% 204.30/204.31 [8079]~E(x80793,x80794)+P107(f331(f62(x80791,x80792,f331(f331(f313(x80791),x80793),f192(f935(x80791,a923)))),x80794))
% 204.30/204.31 [8175]P107(f331(f331(f333(x81751),x81752),f331(f176(x81751),x81753)))+~P107(f331(f331(f333(x81751),x81752),f331(f176(x81751),f331(f331(f179(x81751),x81754),x81753))))
% 204.30/204.31 [8176]P107(f331(f331(f333(x81761),x81762),f331(f176(x81761),x81763)))+~P107(f331(f331(f333(x81761),x81762),f331(f176(x81761),f331(f331(f142(x81761),x81764),x81763))))
% 204.30/204.31 [8249]P107(f331(f331(f333(x82491),x82492),x82493))+~P107(f331(f331(f333(x82491),x82492),f331(f331(f23(f935(x82491,a923)),x82493),x82494)))
% 204.30/204.31 [8251]P107(f331(f331(f333(x82511),x82512),x82513))+~P107(f331(f331(f333(x82511),x82512),f331(f331(f105(f935(x82511,a923)),x82514),x82513)))
% 204.30/204.31 [8254]P107(f331(f331(f333(x82541),x82542),x82543))+~P107(f331(f331(f333(x82541),x82542),f331(f331(f105(f935(x82541,a923)),x82543),x82544)))
% 204.30/204.31 [8272]E(f331(f331(f138(x82721),f331(f331(f179(x82721),x82722),x82723)),f331(f331(f155(x82721),x82724),f331(f331(f142(x82721),f331(a116,x82722)),x82723))),f331(f331(f163(x82721,x82723),x82722),x82724))+~P107(f331(f331(f240(a927),x82722),f331(f193(f928(x82721)),x82723)))
% 204.30/204.31 [8295]P107(f331(f331(f333(x82951),x82952),x82953))+~P107(f331(f331(f239(f935(x82951,a923)),f331(f331(f313(x82951),x82952),x82954)),x82953))
% 204.30/204.31 [8331]~P107(f331(f331(f333(x83311),x83312),x83313))+~P107(f331(f331(f333(x83311),x83312),f331(f331(f23(f935(x83311,a923)),x83314),x83313)))
% 204.30/204.31 [8361]~P107(f331(f331(f240(a927),x83614),f331(f193(f928(x83611)),x83613)))+P107(f331(f331(f333(x83611),x83612),f331(f176(x83611),f331(f331(f163(x83611,x83613),x83614),x83612))))
% 204.30/204.31 [8415]E(f331(f331(f168(x84151),f331(f331(f142(x84151),x84152),x84153)),x84154),f331(f331(f168(x84151),x84153),f331(f331(f80(a927),x84152),x84154)))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x84152),x84154)),f331(f193(f928(x84151)),x84153)))
% 204.30/204.31 [8424]~P147(x84242)+E(f331(f331(f6(x84241,x84242),f331(f331(f8(a927,x84242,x84241),f104(x84242)),x84243)),x84244),f331(f104(x84242),f331(f331(f6(x84241,a927),x84243),x84244)))
% 204.30/204.31 [8425]~P144(x84252)+E(f331(f331(f6(x84251,x84252),f331(f331(f8(a1,x84252,x84251),f106(x84252)),x84253)),x84254),f331(f106(x84252),f331(f331(f6(x84251,a1),x84253),x84254)))
% 204.30/204.31 [8475]~P67(x84752)+E(f331(f331(f9(x84751,x84752),f331(f331(f8(x84752,x84752,x84751),f76(x84752)),x84753)),x84754),f331(f76(x84752),f331(f331(f9(x84751,x84752),x84753),x84754)))
% 204.30/204.31 [8476]~P68(x84762)+E(f331(f331(f6(x84761,x84762),f331(f331(f8(x84762,x84762,x84761),f79(x84762)),x84763)),x84764),f331(f79(x84762),f331(f331(f6(x84761,x84762),x84763),x84764)))
% 204.30/204.31 [8478]E(f331(f331(f6(x84781,a927),x84782),f331(f331(f23(f935(x84781,a923)),x84783),f331(f331(f313(x84781),x84784),f192(f935(x84781,a923))))),f331(f331(f23(a927),f331(f331(f6(x84781,a927),x84782),x84783)),f331(x84782,x84784)))+~P107(f331(f331(f333(x84781),x84784),x84783))
% 204.30/204.31 [8497]P107(f331(f331(f239(f935(x84971,a923)),x84972),x84973))+~P107(f331(f331(f239(f935(x84971,a923)),f331(f331(f313(x84971),x84974),x84972)),x84973))
% 204.30/204.31 [8621]~E(f331(f314(x86212,x86213,x86211),f246(f935(x86212,a923))),f246(f935(x86213,a923)))+E(f331(x86211,f331(f92(x86212,x86213,f246(f935(x86212,a923)),x86211),x86214)),x86214)
% 204.30/204.31 [8709]P38(x87091,x87092)+~P38(x87091,f331(f331(f313(f934(x87091,x87091)),f331(f331(f256(x87091,x87091),x87093),x87094)),x87092))
% 204.30/204.31 [8710]P58(x87101,x87102)+~P58(x87101,f331(f331(f313(f934(x87101,x87101)),f331(f331(f256(x87101,x87101),x87103),x87104)),x87102))
% 204.30/204.31 [8718]~P109(x87181)+E(f331(f331(f152(x87181,x87181,f5(x87181)),x87182),f331(f331(f152(x87181,x87181,f5(x87181)),x87183),x87184)),f331(f331(f152(x87181,x87181,f5(x87181)),x87183),f331(f331(f152(x87181,x87181,f5(x87181)),x87182),x87184)))
% 204.30/204.31 [8733]E(x87331,x87332)+~P107(f331(f62(x87333,x87334,f331(f331(f313(x87333),x87331),f192(f935(x87333,a923)))),x87332))
% 204.30/204.31 [8742]E(f331(f331(f138(x87421),f331(f331(f179(x87421),x87422),x87423)),f331(f331(f179(x87421),x87424),f331(f331(f142(x87421),x87422),x87423))),f331(f331(f179(x87421),f331(f331(f80(a927),x87422),x87424)),x87423))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x87422),x87424)),f331(f193(f928(x87421)),x87423)))
% 204.30/204.31 [8785]P107(f331(f61(x87851),x87852))+~E(x87852,f331(f314(a927,x87851,x87853),f331(f266(a927),f331(f331(f7(a927,a927,a923),f240(a927)),x87854))))
% 204.30/204.31 [8805]~P93(x88051)+E(f331(f146(x88051,x88051,f80(x88051),f331(f331(f80(x88051),x88052),x88053)),x88054),f331(f331(f80(x88051),x88052),f331(f146(x88051,x88051,f80(x88051),x88053),x88054)))
% 204.30/204.31 [8841]P107(f331(f331(f239(f935(x88411,a923)),f331(f268(x88411,x88412),x88413)),f331(f268(x88411,x88412),x88414)))+~P107(f331(f331(f239(f935(f934(x88411,x88412),a923)),x88413),x88414))
% 204.30/204.31 [8853]~P107(f331(f331(f239(a927),x88532),x88534))+P107(f331(f331(f239(f935(x88531,a923)),f331(f176(x88531),f331(f331(f179(x88531),x88532),x88533))),f331(f176(x88531),f331(f331(f179(x88531),x88534),x88533))))
% 204.30/204.31 [8854]~P107(f331(f331(f239(a927),x88544),x88542))+P107(f331(f331(f239(f935(x88541,a923)),f331(f176(x88541),f331(f331(f142(x88541),x88542),x88543))),f331(f176(x88541),f331(f331(f142(x88541),x88544),x88543))))
% 204.30/204.31 [8911]~P107(f331(f61(x89111),f331(f331(f23(f935(x89111,a923)),x89112),x89114)))+P107(f331(f61(x89111),f331(f331(f23(f935(x89111,a923)),x89112),f331(f331(f313(x89111),x89113),x89114))))
% 204.30/204.31 [8953]P107(f331(f331(f333(f934(x89531,x89531)),x89532),f311(x89531,x89533)))+~P107(f331(f331(f333(f934(x89531,x89531)),x89532),f331(f331(f187(f934(x89531,x89531),a923),x89534),x89533)))
% 204.30/204.31 [9039]~P107(f331(f61(x90391),f331(f331(f23(f935(x90391,a923)),x90392),f331(f331(f313(x90391),x90394),x90393))))+P107(f331(f61(x90391),f331(f331(f23(f935(x90391,a923)),x90392),x90393)))
% 204.30/204.31 [9253]~P79(x92531)+P107(f331(f331(f239(x92531),f331(f331(f114(x92531),x92532),f331(f331(f105(x92531),x92533),x92534))),f331(f331(f105(x92531),f331(f331(f114(x92531),x92532),x92533)),f331(f331(f114(x92531),x92532),x92534))))
% 204.30/204.31 [9254]~P109(x92541)+P107(f331(f331(f239(x92541),f331(f331(f238(x92541),x92542),f331(f331(f237(x92541),x92543),x92544))),f331(f331(f237(x92541),f331(f331(f238(x92541),x92542),x92543)),f331(f331(f238(x92541),x92542),x92544))))
% 204.30/204.31 [9404]E(x94041,x94042)+~P107(f331(f331(f333(f934(x94043,x94043)),f331(f331(f256(x94043,x94043),x94041),x94042)),f331(f176(f934(x94043,x94043)),f331(f331(f185(x94043,x94043),x94044),x94044))))
% 204.30/204.31 [9436]~P107(f331(f331(f333(f934(x94361,x94361)),f331(f331(f256(x94361,x94361),x94363),x94362)),f311(x94361,x94364)))+~P38(x94361,f331(f331(f313(f934(x94361,x94361)),f331(f331(f256(x94361,x94361),x94362),x94363)),x94364))
% 204.30/204.31 [9437]~P107(f331(f331(f333(f934(x94371,x94371)),f331(f331(f256(x94371,x94371),x94373),x94372)),f311(x94371,x94374)))+~P58(x94371,f331(f331(f313(f934(x94371,x94371)),f331(f331(f256(x94371,x94371),x94372),x94373)),x94374))
% 204.30/204.31 [9441]E(x94411,x94412)+E(f331(f140(x94413,f331(f331(f8(a923,a923,x94413),a326),f331(a328,x94411))),f331(f331(f155(x94413),x94412),x94414)),f331(f331(f155(x94413),x94412),f331(f140(x94413,f331(f331(f8(a923,a923,x94413),a326),f331(a328,x94411))),x94414)))
% 204.30/204.31 [9470]~P25(x94702,x94701,x94703,f246(f935(x94702,a923)),f246(f935(x94701,a923)))+E(f331(f314(x94701,x94702,f92(x94702,x94701,f246(f935(x94702,a923)),x94703)),x94704),f331(f315(x94702,x94701,x94703),x94704))
% 204.30/204.31 [9486]~P79(x94861)+P107(f331(f331(f239(x94861),f331(f331(f114(x94861),f331(f331(f105(x94861),x94862),x94863)),f331(f331(f105(x94861),x94862),x94864))),f331(f331(f105(x94861),x94862),f331(f331(f114(x94861),x94863),x94864))))
% 204.30/204.31 [9487]~P109(x94871)+P107(f331(f331(f239(x94871),f331(f331(f238(x94871),f331(f331(f237(x94871),x94872),x94873)),f331(f331(f237(x94871),x94872),x94874))),f331(f331(f237(x94871),x94872),f331(f331(f238(x94871),x94873),x94874))))
% 204.30/204.31 [9551]~P25(x95512,x95511,x95514,f246(f935(x95512,a923)),f246(f935(x95511,a923)))+E(f331(f266(x95511),f331(f331(f8(x95512,a923,x95511),x95513),f92(x95512,x95511,f246(f935(x95512,a923)),x95514))),f331(f314(x95512,x95511,x95514),f331(f266(x95512),x95513)))
% 204.30/204.31 [9565]~E(f331(f314(x95652,x95651,x95653),f246(f935(x95652,a923))),f246(f935(x95651,a923)))+P107(f331(f331(f239(f935(x95651,a923)),f331(f79(f935(x95651,a923)),f331(f314(x95652,x95651,x95653),x95654))),f331(f314(x95652,x95651,x95653),f331(f79(f935(x95652,a923)),x95654))))
% 204.30/204.31 [9900]P107(f331(f331(f333(f934(x99001,x99001)),f331(f331(f256(x99001,x99001),x99002),x99003)),f331(f290(x99001,x99001),f331(f331(f293(x99001,x99001,x99001),x99004),f311(x99001,x99004)))))+~P107(f331(f331(f333(f934(x99001,x99001)),f331(f331(f256(x99001,x99001),x99002),x99003)),f331(f331(f293(x99001,x99001,x99001),f331(f290(x99001,x99001),x99004)),f311(x99001,f331(f290(x99001,x99001),x99004)))))
% 204.30/204.31 [9901]~P107(f331(f331(f333(f934(x99011,x99011)),f331(f331(f256(x99011,x99011),x99012),x99013)),f331(f290(x99011,x99011),f331(f331(f293(x99011,x99011,x99011),x99014),f311(x99011,x99014)))))+P107(f331(f331(f333(f934(x99011,x99011)),f331(f331(f256(x99011,x99011),x99012),x99013)),f331(f331(f293(x99011,x99011,x99011),f331(f290(x99011,x99011),x99014)),f311(x99011,f331(f290(x99011,x99011),x99014)))))
% 204.30/204.31 [9922]~P107(f331(f331(f333(x99222),x99224),f331(f288(x99221,x99222),x99223)))+P107(f331(f331(f333(f934(x99221,x99222)),f331(f331(f256(x99221,x99222),f553(x99223,x99221,x99224,x99222)),x99224)),x99223))
% 204.30/204.31 [9923]~P107(f331(f331(f333(x99232),x99234),f331(f288(x99231,x99232),x99233)))+P107(f331(f331(f333(f934(x99231,x99232)),f331(f331(f256(x99231,x99232),f567(x99233,x99231,x99234,x99232)),x99234)),x99233))
% 204.30/204.31 [9948]~P107(f331(f331(f333(x99481),x99484),f331(f331(f114(f935(x99481,a923)),x99482),x99483)))+P107(f331(f331(f331(f114(f935(x99481,a923)),f331(f331(f7(x99481,f935(x99481,a923),a923),f333(x99481)),x99482)),f331(f331(f7(x99481,f935(x99481,a923),a923),f333(x99481)),x99483)),x99484))
% 204.30/204.31 [9949]~P107(f331(f331(f333(x99491),x99494),f331(f331(f105(f935(x99491,a923)),x99492),x99493)))+P107(f331(f331(f331(f105(f935(x99491,a923)),f331(f331(f7(x99491,f935(x99491,a923),a923),f333(x99491)),x99492)),f331(f331(f7(x99491,f935(x99491,a923),a923),f333(x99491)),x99493)),x99494))
% 204.30/204.31 [10029]~P107(f331(f331(f333(f934(x100291,x100291)),f331(f331(f256(x100291,x100291),x100294),x100293)),f331(f331(f293(x100291,x100291,x100291),x100292),f311(x100291,x100292))))+P107(f331(f331(f333(f934(x100291,x100291)),f331(f331(f256(x100291,x100291),f641(x100292,x100293,x100294,x100291)),x100293)),x100292))
% 204.30/204.31 [10064]P107(f331(f331(f333(x100641),x100642),f331(f331(f114(f935(x100641,a923)),x100643),x100644)))+~P107(f331(f331(f331(f114(f935(x100641,a923)),f331(f331(f7(x100641,f935(x100641,a923),a923),f333(x100641)),x100643)),f331(f331(f7(x100641,f935(x100641,a923),a923),f333(x100641)),x100644)),x100642))
% 204.30/204.31 [10065]P107(f331(f331(f333(x100651),x100652),f331(f331(f105(f935(x100651,a923)),x100653),x100654)))+~P107(f331(f331(f331(f105(f935(x100651,a923)),f331(f331(f7(x100651,f935(x100651,a923),a923),f333(x100651)),x100653)),f331(f331(f7(x100651,f935(x100651,a923),a923),f333(x100651)),x100654)),x100652))
% 204.30/204.31 [10337]P33(x103371,f331(f331(f7(x103371,f935(f934(x103371,x103371),a923),f935(x103371,a923)),f331(f331(f8(f935(x103371,f935(f935(f934(x103371,x103371),a923),a923)),f935(f935(f934(x103371,x103371),a923),f935(x103371,a923)),x103371),f7(x103371,f935(f934(x103371,x103371),a923),a923)),f331(f331(f8(f935(x103371,f934(x103371,x103371)),f935(x103371,f935(f935(f934(x103371,x103371),a923),a923)),x103371),f331(f8(f934(x103371,x103371),f935(f935(f934(x103371,x103371),a923),a923),x103371),f333(f934(x103371,x103371)))),f256(x103371,x103371)))),x103372),x103373,x103374)+~P107(f331(f331(f333(f934(f928(x103371),f928(x103371))),f331(f331(f256(f928(x103371),f928(x103371)),x103373),x103374)),f162(x103371,x103372)))
% 204.30/204.31 [10341]P59(x103411,f331(f331(f7(x103411,f935(f934(x103411,x103411),a923),f935(x103411,a923)),f331(f331(f8(f935(x103411,f935(f935(f934(x103411,x103411),a923),a923)),f935(f935(f934(x103411,x103411),a923),f935(x103411,a923)),x103411),f7(x103411,f935(f934(x103411,x103411),a923),a923)),f331(f331(f8(f935(x103411,f934(x103411,x103411)),f935(x103411,f935(f935(f934(x103411,x103411),a923),a923)),x103411),f331(f8(f934(x103411,x103411),f935(f935(f934(x103411,x103411),a923),a923),x103411),f333(f934(x103411,x103411)))),f256(x103411,x103411)))),x103412),x103413,x103414)+~P107(f331(f331(f333(f934(f935(x103411,a923),f935(x103411,a923))),f331(f331(f256(f935(x103411,a923),f935(x103411,a923)),x103413),x103414)),f322(x103411,x103412)))
% 204.30/204.31 [10379]E(x103791,x103792)+~E(f331(f331(f7(x103793,f935(f934(x103793,x103794),a923),f935(x103794,a923)),f331(f331(f8(f935(x103794,f935(f935(f934(x103793,x103794),a923),a923)),f935(f935(f934(x103793,x103794),a923),f935(x103794,a923)),x103793),f7(x103794,f935(f934(x103793,x103794),a923),a923)),f331(f331(f8(f935(x103794,f934(x103793,x103794)),f935(x103794,f935(f935(f934(x103793,x103794),a923),a923)),x103793),f331(f8(f934(x103793,x103794),f935(f935(f934(x103793,x103794),a923),a923),x103794),f333(f934(x103793,x103794)))),f256(x103793,x103794)))),x103791),f331(f331(f7(x103793,f935(f934(x103793,x103794),a923),f935(x103794,a923)),f331(f331(f8(f935(x103794,f935(f935(f934(x103793,x103794),a923),a923)),f935(f935(f934(x103793,x103794),a923),f935(x103794,a923)),x103793),f7(x103794,f935(f934(x103793,x103794),a923),a923)),f331(f331(f8(f935(x103794,f934(x103793,x103794)),f935(x103794,f935(f935(f934(x103793,x103794),a923),a923)),x103793),f331(f8(f934(x103793,x103794),f935(f935(f934(x103793,x103794),a923),a923),x103794),f333(f934(x103793,x103794)))),f256(x103793,x103794)))),x103792))
% 204.30/204.31 [10383]~P33(x103831,f331(f331(f7(x103831,f935(f934(x103831,x103831),a923),f935(x103831,a923)),f331(f331(f8(f935(x103831,f935(f935(f934(x103831,x103831),a923),a923)),f935(f935(f934(x103831,x103831),a923),f935(x103831,a923)),x103831),f7(x103831,f935(f934(x103831,x103831),a923),a923)),f331(f331(f8(f935(x103831,f934(x103831,x103831)),f935(x103831,f935(f935(f934(x103831,x103831),a923),a923)),x103831),f331(f8(f934(x103831,x103831),f935(f935(f934(x103831,x103831),a923),a923),x103831),f333(f934(x103831,x103831)))),f256(x103831,x103831)))),x103834),x103832,x103833)+P107(f331(f331(f333(f934(f928(x103831),f928(x103831))),f331(f331(f256(f928(x103831),f928(x103831)),x103832),x103833)),f162(x103831,x103834)))
% 204.30/204.31 [10384]~P59(x103841,f331(f331(f7(x103841,f935(f934(x103841,x103841),a923),f935(x103841,a923)),f331(f331(f8(f935(x103841,f935(f935(f934(x103841,x103841),a923),a923)),f935(f935(f934(x103841,x103841),a923),f935(x103841,a923)),x103841),f7(x103841,f935(f934(x103841,x103841),a923),a923)),f331(f331(f8(f935(x103841,f934(x103841,x103841)),f935(x103841,f935(f935(f934(x103841,x103841),a923),a923)),x103841),f331(f8(f934(x103841,x103841),f935(f935(f934(x103841,x103841),a923),a923),x103841),f333(f934(x103841,x103841)))),f256(x103841,x103841)))),x103844),x103842,x103843)+P107(f331(f331(f333(f934(f935(x103841,a923),f935(x103841,a923))),f331(f331(f256(f935(x103841,a923),f935(x103841,a923)),x103842),x103843)),f322(x103841,x103844)))
% 204.30/204.31 [7733]~P95(x77331)+E(f331(f331(f81(x77331),f331(f107(x77331),x77332)),f331(f331(f81(x77331),f331(f107(x77331),x77333)),x77334)),f331(f331(f81(x77331),f331(f107(x77331),f331(f331(f81(a1),x77332),x77333))),x77334))
% 204.30/204.31 [7734]~P95(x77341)+E(f331(f331(f80(x77341),f331(f107(x77341),x77342)),f331(f331(f23(x77341),f331(f107(x77341),x77343)),x77344)),f331(f331(f23(x77341),f331(f107(x77341),f331(f331(f80(a1),x77342),x77343))),x77344))
% 204.30/204.31 [7735]~P95(x77351)+E(f331(f331(f80(x77351),f331(f107(x77351),x77352)),f331(f331(f80(x77351),f331(f107(x77351),x77353)),x77354)),f331(f331(f80(x77351),f331(f107(x77351),f331(f331(f80(a1),x77352),x77353))),x77354))
% 204.30/204.31 [7774]~P147(x77741)+E(f331(f169(x77741),f331(f331(f158(x77742,x77741),f331(f16(x77741,x77742),x77743)),x77744)),f331(f331(f81(x77741),f331(f104(x77741),f331(f193(f928(x77742)),x77744))),x77743))
% 204.30/204.31 [8012]E(f331(f272(x80121,f331(f331(f155(f934(a103,x80121)),x80122),x80123)),x80124),f331(f260(a103,x80121),x80122))+~P107(f331(f331(f240(a103),x80124),f331(f255(a103,x80121),x80122)))
% 204.30/204.31 [8057]~P95(x80571)+E(f331(f331(f80(x80571),f331(f107(x80571),x80572)),f331(f331(f23(x80571),x80573),f331(f107(x80571),x80574))),f331(f331(f80(x80571),f331(f107(x80571),f331(f331(f80(a1),x80572),f331(f79(a1),x80574)))),x80573))
% 204.30/204.31 [8188]E(f331(f272(x81881,x81882),f331(f331(f23(a103),x81883),f331(f255(a103,x81881),x81884))),f331(f272(x81881,f331(f331(f155(f934(a103,x81881)),x81884),x81882)),x81883))+P107(f331(f331(f240(a103),x81883),f331(f255(a103,x81881),x81884)))
% 204.30/204.31 [8627]~P107(f331(f331(f333(x86271),x86272),f331(f176(x86271),f118(x86271,x86274))))+P107(f331(f331(f333(x86271),x86272),f331(f176(x86271),f118(x86271,f331(f331(f138(x86271),x86273),x86274)))))
% 204.30/204.31 [8628]~P107(f331(f331(f333(x86281),x86282),f331(f176(x86281),f118(x86281,x86283))))+P107(f331(f331(f333(x86281),x86282),f331(f176(x86281),f118(x86281,f331(f331(f138(x86281),x86283),x86284)))))
% 204.30/204.31 [8648]E(f331(f331(f114(f935(x86481,a923)),f331(f331(f105(f935(x86481,a923)),x86482),x86483)),x86484),f331(f331(f105(f935(x86481,a923)),x86482),f331(f331(f114(f935(x86481,a923)),x86483),x86484)))+~P107(f331(f331(f239(f935(x86481,a923)),x86484),x86482))
% 204.30/204.31 [8967]~E(f331(f331(f114(f935(x89671,a923)),f331(f331(f105(f935(x89671,a923)),x89673),x89674)),x89672),f331(f331(f105(f935(x89671,a923)),x89673),f331(f331(f114(f935(x89671,a923)),x89674),x89672)))+P107(f331(f331(f239(f935(x89671,a923)),x89672),x89673))
% 204.30/204.31 [9259]~P107(f331(f331(f239(f935(x92591,a923)),x92592),f331(f331(f114(f935(x92591,a923)),x92593),x92594)))+P107(f331(f331(f239(f935(x92591,a923)),f331(f331(f23(f935(x92591,a923)),x92592),x92593)),x92594))
% 204.30/204.31 [9375]~E(f331(f314(x93751,x93752,x93753),f246(f935(x93751,a923))),f246(f935(x93752,a923)))+E(f331(f314(x93751,x93752,x93753),f331(f314(x93752,x93751,f92(x93751,x93752,f246(f935(x93751,a923)),x93753)),x93754)),x93754)
% 204.30/204.31 [9380]P107(f331(f331(f239(f935(x93801,a923)),x93802),f331(f331(f114(f935(x93801,a923)),x93803),x93804)))+~P107(f331(f331(f239(f935(x93801,a923)),f331(f331(f23(f935(x93801,a923)),x93802),x93803)),x93804))
% 204.30/204.31 [9465]~P88(x94651)+E(f331(f76(x94651),f331(f331(f6(x94652,x94651),f331(f331(f8(x94651,x94651,x94652),f76(x94651)),x94653)),x94654)),f331(f331(f6(x94652,x94651),f331(f331(f8(x94651,x94651,x94652),f76(x94651)),x94653)),x94654))
% 204.30/204.31 [9643]~P88(x96431)+P107(f331(f331(f239(x96431),f2(x96431)),f331(f331(f6(x96432,x96431),f331(f331(f8(x96431,x96431,x96432),f76(x96431)),x96433)),x96434)))
% 204.30/204.31 [9647]~P68(x96471)+E(f331(f169(x96471),f331(f331(f158(x96472,x96471),f331(f73(x96471,x96471,x96472,f79(x96471)),x96473)),x96474)),f331(f79(x96471),f331(f169(x96471),f331(f331(f158(x96472,x96471),x96473),x96474))))
% 204.30/204.31 [9796]~P88(x97961)+P107(f331(f331(f239(x97961),f331(f76(x97961),f331(f331(f6(x97962,x97961),x97963),x97964))),f331(f331(f6(x97962,x97961),f331(f331(f8(x97961,x97961,x97962),f76(x97961)),x97963)),x97964)))
% 204.30/204.31 [9825]~E(f331(f331(f80(a927),x98251),x98254),f331(f331(f80(a927),x98253),x98252))+P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),f331(f331(f256(a927,a927),x98251),x98252)),f331(f331(f256(a927,a927),x98253),x98254))),a112))
% 204.30/204.31 [9826]~P107(f331(f331(f240(a927),x98261),x98263))+P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),f331(f331(f256(a927,a927),x98261),x98262)),f331(f331(f256(a927,a927),x98263),x98264))),a33))
% 204.30/204.31 [9827]~P107(f331(f331(f240(a927),x98271),x98273))+P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),f331(f331(f256(a927,a927),x98271),x98272)),f331(f331(f256(a927,a927),x98273),x98274))),a71))
% 204.30/204.31 [9973]E(f331(f331(f80(a927),x99731),x99732),f331(f331(f80(a927),x99733),x99734))+~P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),f331(f331(f256(a927,a927),x99731),x99734)),f331(f331(f256(a927,a927),x99733),x99732))),a112))
% 204.30/204.31 [10004]E(f331(f331(f168(x100041),f331(f331(f142(x100041),f331(f193(f928(x100041)),f181(x100041,x100042,x100043))),x100043)),x100044),f331(f331(f168(x100041),x100043),f331(f331(f80(a927),x100044),f331(f193(f928(x100041)),f181(x100041,x100042,x100043)))))+~P107(f331(f331(f240(a927),x100044),f331(f193(f928(x100041)),f331(f331(f142(x100041),f331(f193(f928(x100041)),f181(x100041,x100042,x100043))),x100043))))
% 204.30/204.31 [10020]~P107(f331(f331(f333(x100202),x100204),f331(f331(f39(x100201,f935(x100202,a923)),f246(f935(x100201,a923))),x100203)))+P107(f331(f331(f331(f39(x100201,f935(x100202,a923)),f246(f935(x100201,a923))),f331(f331(f8(f935(x100202,a923),f935(x100202,a923),x100201),f331(f7(x100202,f935(x100202,a923),a923),f333(x100202))),x100203)),x100204))
% 204.30/204.31 [10021]~P107(f331(f331(f333(x100212),x100214),f331(f331(f40(x100211,f935(x100212,a923)),f246(f935(x100211,a923))),x100213)))+P107(f331(f331(f331(f40(x100211,f935(x100212,a923)),f246(f935(x100211,a923))),f331(f331(f8(f935(x100212,a923),f935(x100212,a923),x100211),f331(f7(x100212,f935(x100212,a923),a923),f333(x100212))),x100213)),x100214))
% 204.30/204.31 [10091]~P107(f331(f49(x100911,x100912),f331(f331(f256(a1,a1),x100914),x100913)))+P107(f331(f49(f331(f79(a1),x100911),x100912),f331(f331(f256(a1,a1),f331(f331(f331(f100(a1),f331(f331(a328,x100913),f2(a1))),f331(f79(a1),x100914)),f331(f331(f23(a1),f331(f79(a1),x100914)),f78(a1)))),f331(f331(f331(f100(a1),f331(f331(a328,x100913),f2(a1))),f2(a1)),f331(f331(f23(a1),x100912),x100913)))))
% 204.30/204.31 [10103]P107(f331(f331(f333(x101031),x101032),f331(f331(f39(x101033,f935(x101031,a923)),f246(f935(x101033,a923))),x101034)))+~P107(f331(f331(f331(f39(x101033,f935(x101031,a923)),f246(f935(x101033,a923))),f331(f331(f8(f935(x101031,a923),f935(x101031,a923),x101033),f331(f7(x101031,f935(x101031,a923),a923),f333(x101031))),x101034)),x101032))
% 204.30/204.31 [10104]P107(f331(f331(f333(x101041),x101042),f331(f331(f40(x101043,f935(x101041,a923)),f246(f935(x101043,a923))),x101044)))+~P107(f331(f331(f331(f40(x101043,f935(x101041,a923)),f246(f935(x101043,a923))),f331(f331(f8(f935(x101041,a923),f935(x101041,a923),x101043),f331(f7(x101041,f935(x101041,a923),a923),f333(x101041))),x101044)),x101042))
% 204.30/204.31 [10116]E(f331(f331(f39(a927,f935(x101161,a923)),f246(f935(a927,a923))),x101162),f331(f331(f39(a927,f935(x101161,a923)),f246(f935(a927,a923))),x101163))+~E(f331(f331(f39(a927,f935(x101161,a923)),f331(f306(a927,f2(a927)),f414(x101162,x101164,x101163,x101161))),x101163),f331(f331(f39(a927,f935(x101161,a923)),f331(f306(a927,f2(a927)),f331(f331(f80(a927),f414(x101162,x101164,x101163,x101161)),x101164))),x101162))
% 204.30/204.31 [10464]~P107(f331(f331(f239(f935(f934(x104641,x104642),a923)),x104643),x104644))+P107(f331(f331(f239(f935(x104641,f935(x104642,a923))),f331(f331(f7(x104641,f935(f934(x104641,x104642),a923),f935(x104642,a923)),f331(f331(f8(f935(x104642,f935(f935(f934(x104641,x104642),a923),a923)),f935(f935(f934(x104641,x104642),a923),f935(x104642,a923)),x104641),f7(x104642,f935(f934(x104641,x104642),a923),a923)),f331(f331(f8(f935(x104642,f934(x104641,x104642)),f935(x104642,f935(f935(f934(x104641,x104642),a923),a923)),x104641),f331(f8(f934(x104641,x104642),f935(f935(f934(x104641,x104642),a923),a923),x104642),f333(f934(x104641,x104642)))),f256(x104641,x104642)))),x104643)),f331(f331(f7(x104641,f935(f934(x104641,x104642),a923),f935(x104642,a923)),f331(f331(f8(f935(x104642,f935(f935(f934(x104641,x104642),a923),a923)),f935(f935(f934(x104641,x104642),a923),f935(x104642,a923)),x104641),f7(x104642,f935(f934(x104641,x104642),a923),a923)),f331(f331(f8(f935(x104642,f934(x104641,x104642)),f935(x104642,f935(f935(f934(x104641,x104642),a923),a923)),x104641),f331(f8(f934(x104641,x104642),f935(f935(f934(x104641,x104642),a923),a923),x104642),f333(f934(x104641,x104642)))),f256(x104641,x104642)))),x104644)))
% 204.30/204.31 [10481]P107(f331(f331(f239(f935(f934(x104811,x104812),a923)),x104813),x104814))+~P107(f331(f331(f239(f935(x104811,f935(x104812,a923))),f331(f331(f7(x104811,f935(f934(x104811,x104812),a923),f935(x104812,a923)),f331(f331(f8(f935(x104812,f935(f935(f934(x104811,x104812),a923),a923)),f935(f935(f934(x104811,x104812),a923),f935(x104812,a923)),x104811),f7(x104812,f935(f934(x104811,x104812),a923),a923)),f331(f331(f8(f935(x104812,f934(x104811,x104812)),f935(x104812,f935(f935(f934(x104811,x104812),a923),a923)),x104811),f331(f8(f934(x104811,x104812),f935(f935(f934(x104811,x104812),a923),a923),x104812),f333(f934(x104811,x104812)))),f256(x104811,x104812)))),x104813)),f331(f331(f7(x104811,f935(f934(x104811,x104812),a923),f935(x104812,a923)),f331(f331(f8(f935(x104812,f935(f935(f934(x104811,x104812),a923),a923)),f935(f935(f934(x104811,x104812),a923),f935(x104812,a923)),x104811),f7(x104812,f935(f934(x104811,x104812),a923),a923)),f331(f331(f8(f935(x104812,f934(x104811,x104812)),f935(x104812,f935(f935(f934(x104811,x104812),a923),a923)),x104811),f331(f8(f934(x104811,x104812),f935(f935(f934(x104811,x104812),a923),a923),x104812),f333(f934(x104811,x104812)))),f256(x104811,x104812)))),x104814)))
% 204.30/204.31 [9513]~P107(f331(f331(f333(f934(x95131,x95131)),x95132),f311(x95131,x95134)))+P107(f331(f331(f333(f934(x95131,x95131)),x95132),f311(x95131,f331(f331(f114(f935(f934(x95131,x95131),a923)),x95133),x95134))))
% 204.30/204.31 [9514]~P107(f331(f331(f333(f934(x95141,x95141)),x95142),f311(x95141,x95143)))+P107(f331(f331(f333(f934(x95141,x95141)),x95142),f311(x95141,f331(f331(f114(f935(f934(x95141,x95141),a923)),x95143),x95144))))
% 204.30/204.31 [10203]~P107(f331(f331(f239(a927),f331(f331(f80(a927),x102031),x102034)),f331(f331(f80(a927),x102033),x102032)))+P107(f331(f331(f239(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102031),x102032)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102033),x102034)),f192(f935(f934(a927,a927),a923)))))))
% 204.30/204.31 [10204]~P107(f331(f331(f240(a927),f331(f331(f80(a927),x102041),x102044)),f331(f331(f80(a927),x102043),x102042)))+P107(f331(f331(f240(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102041),x102042)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102043),x102044)),f192(f935(f934(a927,a927),a923)))))))
% 204.30/204.31 [10281]P107(f331(f331(f239(a927),f331(f331(f80(a927),x102811),x102812)),f331(f331(f80(a927),x102813),x102814)))+~P107(f331(f331(f239(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102811),x102814)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102813),x102812)),f192(f935(f934(a927,a927),a923)))))))
% 204.30/204.31 [10282]P107(f331(f331(f240(a927),f331(f331(f80(a927),x102821),x102822)),f331(f331(f80(a927),x102823),x102824)))+~P107(f331(f331(f240(a1),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102821),x102824)),f192(f935(f934(a927,a927),a923)))))),f331(a89,f331(f289(f934(a927,a927),f934(a927,a927),a112),f331(f331(f313(f934(a927,a927)),f331(f331(f256(a927,a927),x102823),x102822)),f192(f935(f934(a927,a927),a923)))))))
% 204.30/204.31 [10322]P107(f331(f331(f239(f935(x103221,a923)),f331(f331(f39(a927,f935(x103221,a923)),f246(f935(a927,a923))),x103222)),f331(f331(f39(a927,f935(x103221,a923)),f246(f935(a927,a923))),x103223)))+~P107(f331(f331(f239(f935(x103221,a923)),f331(f331(f39(a927,f935(x103221,a923)),f331(f306(a927,f2(a927)),f412(x103223,x103224,x103222,x103221))),x103222)),f331(f331(f39(a927,f935(x103221,a923)),f331(f306(a927,f2(a927)),f331(f331(f80(a927),f412(x103223,x103224,x103222,x103221)),x103224))),x103223)))
% 204.30/204.31 [10387]P107(f331(f331(f239(a103),x103874),f2(a103)))+E(f331(f331(f263(f934(a103,a103),f934(x103871,f935(a930,a327)),f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103))),f331(x103872,x103873)),f331(f331(f8(f935(f935(a103,f935(a923,f931(f929(x103871)))),f935(f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103)))),f935(f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103))),f934(x103871,f935(a930,a327))),f331(f263(f934(a103,a103),f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103))),f281(x103871,x103872,f331(f331(f23(a103),x103874),f78(a103)),x103873))),f331(f331(f8(f935(f935(a103,f935(a923,f931(f929(x103871)))),f935(a103,f935(a923,f931(f929(x103871))))),f935(f935(a103,f935(a923,f931(f929(x103871)))),f935(f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103)))),f934(x103871,f935(a930,a327))),f331(f8(f935(a103,f935(a923,f931(f929(x103871)))),f935(f934(a103,a103),f934(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103))),f935(a103,f935(a923,f931(f929(x103871))))),f256(f935(a103,f935(a923,f931(f929(x103871)))),f934(a103,a103)))),f331(f331(f8(f935(a103,f935(a923,f931(f929(x103871)))),f935(f935(a103,f935(a923,f931(f929(x103871)))),f935(a103,f935(a923,f931(f929(x103871))))),f934(x103871,f935(a930,a327))),f44(x103871)),f331(f331(f8(x103871,f935(a103,f935(a923,f931(f929(x103871)))),f934(x103871,f935(a930,a327))),f42(x103871)),f255(x103871,f935(a930,a327))))))),f281(x103871,x103872,x103874,x103873))
% 204.30/204.31 [10453]~P107(f331(f331(f333(x104532),x104534),f331(f288(x104531,x104532),x104533)))+P107(f331(f254(x104531,x104532,f331(f331(f7(x104531,f935(f934(x104531,x104532),a923),f935(x104532,a923)),f331(f331(f8(f935(x104532,f935(f935(f934(x104531,x104532),a923),a923)),f935(f935(f934(x104531,x104532),a923),f935(x104532,a923)),x104531),f7(x104532,f935(f934(x104531,x104532),a923),a923)),f331(f331(f8(f935(x104532,f934(x104531,x104532)),f935(x104532,f935(f935(f934(x104531,x104532),a923),a923)),x104531),f331(f8(f934(x104531,x104532),f935(f935(f934(x104531,x104532),a923),a923),x104532),f333(f934(x104531,x104532)))),f256(x104531,x104532)))),x104533)),x104534))
% 204.30/204.31 [10454]~P107(f331(f331(f333(x104541),x104544),f331(f268(x104541,x104542),x104543)))+P107(f331(f253(x104541,x104542,f331(f331(f7(x104541,f935(f934(x104541,x104542),a923),f935(x104542,a923)),f331(f331(f8(f935(x104542,f935(f935(f934(x104541,x104542),a923),a923)),f935(f935(f934(x104541,x104542),a923),f935(x104542,a923)),x104541),f7(x104542,f935(f934(x104541,x104542),a923),a923)),f331(f331(f8(f935(x104542,f934(x104541,x104542)),f935(x104542,f935(f935(f934(x104541,x104542),a923),a923)),x104541),f331(f8(f934(x104541,x104542),f935(f935(f934(x104541,x104542),a923),a923),x104542),f333(f934(x104541,x104542)))),f256(x104541,x104542)))),x104543)),x104544))
% 204.30/204.31 [10467]P107(f331(f331(f333(x104671),x104672),f331(f288(x104673,x104671),x104674)))+~P107(f331(f254(x104673,x104671,f331(f331(f7(x104673,f935(f934(x104673,x104671),a923),f935(x104671,a923)),f331(f331(f8(f935(x104671,f935(f935(f934(x104673,x104671),a923),a923)),f935(f935(f934(x104673,x104671),a923),f935(x104671,a923)),x104673),f7(x104671,f935(f934(x104673,x104671),a923),a923)),f331(f331(f8(f935(x104671,f934(x104673,x104671)),f935(x104671,f935(f935(f934(x104673,x104671),a923),a923)),x104673),f331(f8(f934(x104673,x104671),f935(f935(f934(x104673,x104671),a923),a923),x104671),f333(f934(x104673,x104671)))),f256(x104673,x104671)))),x104674)),x104672))
% 204.30/204.31 [10468]P107(f331(f331(f333(x104681),x104682),f331(f268(x104681,x104683),x104684)))+~P107(f331(f253(x104681,x104683,f331(f331(f7(x104681,f935(f934(x104681,x104683),a923),f935(x104683,a923)),f331(f331(f8(f935(x104683,f935(f935(f934(x104681,x104683),a923),a923)),f935(f935(f934(x104681,x104683),a923),f935(x104683,a923)),x104681),f7(x104683,f935(f934(x104681,x104683),a923),a923)),f331(f331(f8(f935(x104683,f934(x104681,x104683)),f935(x104683,f935(f935(f934(x104681,x104683),a923),a923)),x104681),f331(f8(f934(x104681,x104683),f935(f935(f934(x104681,x104683),a923),a923),x104683),f333(f934(x104681,x104683)))),f256(x104681,x104683)))),x104684)),x104682))
% 204.30/204.31 [10127]P107(f331(f164(x101271,x101272),x101273))+~P107(f331(f164(x101271,f331(f331(f18(x101271,a923,a923),f331(f331(f8(a923,f935(a923,a923),x101271),a329),x101274)),x101272)),x101273))
% 204.30/204.31 [10128]P107(f331(f164(x101281,x101282),x101283))+~P107(f331(f164(x101281,f331(f331(f18(x101281,a923,a923),f331(f331(f8(a923,f935(a923,a923),x101281),a329),x101282)),x101284)),x101283))
% 204.30/204.31 [10205]~P120(x102051)+E(f331(f331(f81(x102051),f331(f331(f80(x102051),f78(x102051)),f78(x102051))),f331(f331(f6(a927,x102051),f331(f331(f8(x102051,x102051,a927),f331(f80(x102051),x102052)),f331(f331(f7(a927,x102051,x102051),f331(f331(f8(x102051,f935(x102051,x102051),a927),f81(x102051)),f104(x102051))),x102053))),f331(f286(a927),x102054))),f331(f331(f81(x102051),f331(f104(x102051),x102054)),f331(f331(f80(x102051),x102052),f331(f331(f80(x102051),x102052),f331(f331(f81(x102051),f331(f104(x102051),f331(f331(f23(a927),x102054),f78(a927)))),x102053)))))
% 204.30/204.31 [10344]P107(f331(x103441,f552(x103442,x103443,x103444,x103441)))+P38(x103442,f331(f266(f934(x103442,x103442)),f331(f261(x103442,x103442,a923),f331(f331(f8(f935(x103442,a923),f935(x103442,a923),x103442),f331(f18(x103442,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103442),a329),x103441))),f331(f331(f7(x103442,f935(x103442,x103442),f935(x103442,a923)),f331(f331(f8(f935(x103442,a923),f935(f935(x103442,x103442),f935(x103442,a923)),x103442),f8(x103442,a923,x103442)),a328)),x103443)))))
% 204.30/204.31 [10361]~P107(f331(f331(f240(a927),f331(x103614,f331(x103613,f552(x103611,x103613,x103614,x103612)))),f331(x103614,f552(x103611,x103613,x103614,x103612))))+P38(x103611,f331(f266(f934(x103611,x103611)),f331(f261(x103611,x103611,a923),f331(f331(f8(f935(x103611,a923),f935(x103611,a923),x103611),f331(f18(x103611,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103611),a329),x103612))),f331(f331(f7(x103611,f935(x103611,x103611),f935(x103611,a923)),f331(f331(f8(f935(x103611,a923),f935(f935(x103611,x103611),f935(x103611,a923)),x103611),f8(x103611,a923,x103611)),a328)),x103613)))))
% 204.30/204.31 [10438]~P4(x104381)+E(f37(x104381,f331(f266(x104381),f331(f331(f8(f935(f935(x104382,x104381),a923),a923,x104381),f87(f935(x104382,x104381))),f331(f331(f8(f935(f935(x104382,x104381),a923),f935(f935(x104382,x104381),a923),x104381),f331(f18(f935(x104382,x104381),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x104382,x104381)),a329),f331(f331(f7(f935(x104382,x104381),f935(f935(x104382,x104381),a923),a923),f333(f935(x104382,x104381))),x104383)))),f331(f331(f7(x104381,f935(f935(x104382,x104381),x104381),f935(f935(x104382,x104381),a923)),f331(f331(f8(f935(x104381,a923),f935(f935(f935(x104382,x104381),x104381),f935(f935(x104382,x104381),a923)),x104381),f8(x104381,a923,f935(x104382,x104381))),a328)),f331(f331(f7(f935(x104382,x104381),x104382,x104381),f5(f935(x104382,x104381))),x104384)))))),f331(f37(f935(x104382,x104381),x104383),x104384))
% 204.30/204.31 [10439]~P4(x104391)+E(f37(x104391,f331(f266(x104391),f331(f331(f8(f935(f935(x104392,x104391),a923),a923,x104391),f87(f935(x104392,x104391))),f331(f331(f8(f935(f935(x104392,x104391),a923),f935(f935(x104392,x104391),a923),x104391),f331(f18(f935(x104392,x104391),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x104392,x104391)),a329),f331(f331(f7(f935(x104392,x104391),f935(f935(x104392,x104391),a923),a923),f333(f935(x104392,x104391))),x104393)))),f331(f331(f7(x104391,f935(f935(x104392,x104391),x104391),f935(f935(x104392,x104391),a923)),f331(f331(f8(f935(x104391,a923),f935(f935(f935(x104392,x104391),x104391),f935(f935(x104392,x104391),a923)),x104391),f8(x104391,a923,f935(x104392,x104391))),a328)),f331(f331(f7(f935(x104392,x104391),x104392,x104391),f5(f935(x104392,x104391))),x104394)))))),f331(f37(f935(x104392,x104391),x104393),x104394))
% 204.30/204.31 [10440]~P4(x104401)+E(f38(x104401,f331(f266(x104401),f331(f331(f8(f935(f935(x104402,x104401),a923),a923,x104401),f87(f935(x104402,x104401))),f331(f331(f8(f935(f935(x104402,x104401),a923),f935(f935(x104402,x104401),a923),x104401),f331(f18(f935(x104402,x104401),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x104402,x104401)),a329),f331(f331(f7(f935(x104402,x104401),f935(f935(x104402,x104401),a923),a923),f333(f935(x104402,x104401))),x104403)))),f331(f331(f7(x104401,f935(f935(x104402,x104401),x104401),f935(f935(x104402,x104401),a923)),f331(f331(f8(f935(x104401,a923),f935(f935(f935(x104402,x104401),x104401),f935(f935(x104402,x104401),a923)),x104401),f8(x104401,a923,f935(x104402,x104401))),a328)),f331(f331(f7(f935(x104402,x104401),x104402,x104401),f5(f935(x104402,x104401))),x104404)))))),f331(f38(f935(x104402,x104401),x104403),x104404))
% 204.30/204.31 [10441]~P4(x104411)+E(f38(x104411,f331(f266(x104411),f331(f331(f8(f935(f935(x104412,x104411),a923),a923,x104411),f87(f935(x104412,x104411))),f331(f331(f8(f935(f935(x104412,x104411),a923),f935(f935(x104412,x104411),a923),x104411),f331(f18(f935(x104412,x104411),a923,a923),f331(f331(f8(a923,f935(a923,a923),f935(x104412,x104411)),a329),f331(f331(f7(f935(x104412,x104411),f935(f935(x104412,x104411),a923),a923),f333(f935(x104412,x104411))),x104413)))),f331(f331(f7(x104411,f935(f935(x104412,x104411),x104411),f935(f935(x104412,x104411),a923)),f331(f331(f8(f935(x104411,a923),f935(f935(f935(x104412,x104411),x104411),f935(f935(x104412,x104411),a923)),x104411),f8(x104411,a923,f935(x104412,x104411))),a328)),f331(f331(f7(f935(x104412,x104411),x104412,x104411),f5(f935(x104412,x104411))),x104414)))))),f331(f38(f935(x104412,x104411),x104413),x104414))
% 204.30/204.31 [10494]~P107(f331(f331(f333(f934(x104941,x104941)),f331(f331(f256(x104941,x104941),x104943),x104944)),f331(f331(f114(f935(f934(x104941,x104941),a923)),x104942),f311(x104941,f192(f935(f934(x104941,x104941),a923))))))+P107(f331(f331(f331(f331(f114(f935(x104941,f935(x104941,a923))),f331(f331(f7(x104941,f935(f934(x104941,x104941),a923),f935(x104941,a923)),f331(f331(f8(f935(x104941,f935(f935(f934(x104941,x104941),a923),a923)),f935(f935(f934(x104941,x104941),a923),f935(x104941,a923)),x104941),f7(x104941,f935(f934(x104941,x104941),a923),a923)),f331(f331(f8(f935(x104941,f934(x104941,x104941)),f935(x104941,f935(f935(f934(x104941,x104941),a923),a923)),x104941),f331(f8(f934(x104941,x104941),f935(f935(f934(x104941,x104941),a923),a923),x104941),f333(f934(x104941,x104941)))),f256(x104941,x104941)))),x104942)),a328),x104943),x104944))
% 204.30/204.31 [10504]P107(f331(f331(f333(f934(x105041,x105041)),f331(f331(f256(x105041,x105041),x105042),x105043)),f331(f331(f114(f935(f934(x105041,x105041),a923)),x105044),f311(x105041,f192(f935(f934(x105041,x105041),a923))))))+~P107(f331(f331(f331(f331(f114(f935(x105041,f935(x105041,a923))),f331(f331(f7(x105041,f935(f934(x105041,x105041),a923),f935(x105041,a923)),f331(f331(f8(f935(x105041,f935(f935(f934(x105041,x105041),a923),a923)),f935(f935(f934(x105041,x105041),a923),f935(x105041,a923)),x105041),f7(x105041,f935(f934(x105041,x105041),a923),a923)),f331(f331(f8(f935(x105041,f934(x105041,x105041)),f935(x105041,f935(f935(f934(x105041,x105041),a923),a923)),x105041),f331(f8(f934(x105041,x105041),f935(f935(f934(x105041,x105041),a923),a923),x105041),f333(f934(x105041,x105041)))),f256(x105041,x105041)))),x105044)),a328),x105042),x105043))
% 204.30/204.31 [10330]~P110(x103303)+E(f90(x103301,f331(f331(f18(x103301,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103301),a329),x103302)),f331(f331(f8(f935(x103301,a923),a923,x103301),f88(x103301)),f331(f331(f8(f935(x103301,a923),f935(x103301,a923),x103301),f331(f18(x103301,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103301),a334),x103302))),f331(f331(f8(x103303,f935(x103301,a923),x103301),f331(f7(x103301,x103303,a923),f331(f331(f8(x103303,f935(x103303,a923),x103301),f239(x103303)),x103304))),x103304))))),f331(f93(x103301,x103303,x103304),x103302))
% 204.30/204.31 [10382]~P110(x103823)+E(f90(x103821,f331(f331(f18(x103821,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103821),a329),x103822)),f331(f331(f8(f935(x103821,a923),a923,x103821),f88(x103821)),f331(f331(f8(f935(x103821,a923),f935(x103821,a923),x103821),f331(f18(x103821,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103821),a334),x103822))),f331(f331(f7(x103821,f935(x103821,x103823),f935(x103821,a923)),f331(f331(f8(f935(x103823,a923),f935(f935(x103821,x103823),f935(x103821,a923)),x103821),f8(x103823,a923,x103821)),f331(f331(f8(x103823,f935(x103823,a923),x103821),f239(x103823)),x103824))),x103824))))),f95(x103821,x103823,x103824,x103822))
% 204.30/204.31 [10449]E(f331(f331(f155(f928(x104491)),f331(f331(f155(x104491),x104492),f331(f146(f928(x104491),f928(x104491),f138(x104491),f117(x104491)),f331(f331(f158(f928(x104491),f928(x104491)),f160(f928(x104491),x104491,f117(x104491),f331(f331(f8(f928(x104491),f935(f928(x104491),f928(x104491)),x104491),f16(f928(x104491),f928(x104491))),f331(f331(f7(x104491,f928(x104491),f928(x104491)),f155(x104491)),f117(x104491))))),x104493)))),f183(x104491,f331(f331(f155(f928(x104491)),x104494),f331(f146(f928(f928(x104491)),f928(f928(x104491)),f138(f928(x104491)),f117(f928(x104491))),f331(f331(f158(f928(x104491),f928(f928(x104491))),f160(f928(f928(x104491)),x104491,f117(f928(x104491)),f331(f16(f935(f928(x104491),f928(f928(x104491))),x104491),f331(f331(f7(f928(x104491),f928(f928(x104491)),f928(f928(x104491))),f155(f928(x104491))),f117(f928(x104491)))))),x104493))))),f183(x104491,f331(f331(f155(f928(x104491)),f331(f331(f155(x104491),x104492),x104494)),x104493)))+~P107(f331(f319(f928(f928(x104491)),f184(x104491)),f331(f331(f155(f928(x104491)),f331(f331(f155(x104491),x104492),x104494)),x104493)))
% 204.30/204.31 [10493]~P107(f331(f61(x104932),f331(f266(x104932),x104934)))+P107(f331(f61(x104931),f331(f266(x104931),f331(f331(f8(f935(x104932,a923),a923,x104931),f87(x104932)),f331(f331(f7(x104931,f935(x104932,a923),f935(x104932,a923)),f331(f331(f8(f935(x104932,f935(a923,a923)),f935(f935(x104932,a923),f935(x104932,a923)),x104931),f18(x104932,a923,a923)),f331(f331(f8(f935(x104932,a923),f935(x104932,f935(a923,a923)),x104931),f331(f8(a923,f935(a923,a923),x104932),a329)),f331(f331(f7(x104931,f935(x104932,x104931),f935(x104932,a923)),f331(f331(f8(f935(x104931,a923),f935(f935(x104932,x104931),f935(x104932,a923)),x104931),f8(x104931,a923,x104932)),a328)),x104933)))),x104934)))))
% 204.30/204.31 [9005]P24(x90051,x90052,x90053,x90054)+~P25(x90051,x90052,x90053,x90054,x90055)
% 204.30/204.31 [5507]E(x55071,x55072)+~E(f173(x55073,x55071,x55074),f173(x55073,x55072,x55075))
% 204.30/204.31 [5508]E(x55081,x55082)+~E(f130(x55083,x55084,x55081),f130(x55083,x55085,x55082))
% 204.30/204.31 [5509]E(x55091,x55092)+~E(f130(x55093,x55091,x55094),f130(x55093,x55092,x55095))
% 204.30/204.31 [8325]~E(f331(x83253,x83254),x83255)+E(f75(x83251,x83252,x83253,x83254,x83255),x83253)
% 204.30/204.31 [8863]~E(f75(x88634,x88635,x88631,x88632,x88633),x88631)+E(f331(x88631,x88632),x88633)
% 204.30/204.31 [9484]~P25(x94842,x94841,x94844,x94843,x94845)+P25(x94841,x94842,f77(x94842,x94841,x94843,x94844),x94845,x94843)
% 204.30/204.31 [9485]~P25(x94852,x94851,x94854,x94853,x94855)+P25(x94851,x94852,f92(x94852,x94851,x94853,x94854),x94855,x94853)
% 204.30/204.31 [6307]P107(f331(f254(x63071,x63072,x63073),x63074))+~P107(f331(f331(x63073,x63075),x63074))
% 204.30/204.31 [6309]P107(f331(f253(x63091,x63092,x63093),x63094))+~P107(f331(f331(x63093,x63094),x63095))
% 204.30/204.31 [6782]~E(x67825,f2(a103))+E(f331(f201(x67821,x67822,x67823,x67824),x67825),f128(x67822))
% 204.30/204.31 [6783]~E(x67835,f2(a103))+E(f331(f203(x67831,x67832,x67833,x67834),x67835),f119(x67832))
% 204.30/204.31 [6918]~E(x69183,f2(a103))+E(f331(f277(x69181,x69182,x69183,x69184),x69185),f331(f256(x69181,x69182),x69185))
% 204.30/204.31 [7968]~P19(x79684,x79681,x79682,x79685)+E(f331(f73(x79681,x79681,x79681,f331(x79682,x79683)),f331(x79682,x79683)),f331(x79682,x79683))
% 204.30/204.31 [8362]~P15(x83625,x83621,x83622)+E(f331(f73(x83621,x83621,x83621,f331(x83622,x83623)),f331(x83622,x83624)),f331(f73(x83621,x83621,x83621,f331(x83622,x83624)),f331(x83622,x83623)))
% 204.30/204.31 [8689]P107(f331(f331(f333(f934(x86891,x86891)),f331(f331(f256(x86891,x86891),x86892),x86893)),f325(x86891,x86894,x86895)))+~P107(f331(f331(f240(a927),f331(x86894,x86892)),f331(x86894,x86893)))
% 204.30/204.31 [8791]~P107(f331(f331(f333(x87914),x87913),f300(x87914,x87911,x87912,x87915)))+P107(f331(f331(x87911,x87912),x87913))
% 204.30/204.31 [8792]~P107(f331(f331(f333(x87924),x87923),f303(x87924,x87921,x87922,x87925)))+P107(f331(f331(x87921,x87922),x87923))
% 204.30/204.31 [8793]~P107(f331(f331(f333(x87934),x87932),f300(x87934,x87931,x87935,x87933)))+P107(f331(f331(x87931,x87932),x87933))
% 204.30/204.31 [8794]~P107(f331(f331(f333(x87944),x87942),f303(x87944,x87941,x87945,x87943)))+P107(f331(f331(x87941,x87942),x87943))
% 204.30/204.31 [8875]~P25(x88751,x88753,x88755,x88752,x88754)+E(f331(f35(x88751),x88752),f331(f35(x88753),x88754))
% 204.30/204.31 [8923]~P25(x89231,x89232,x89233,x89234,x89235)+E(f331(f314(x89231,x89232,x89233),x89234),x89235)
% 204.30/204.31 [8943]~P57(x89432,x89431,x89435,x89433,x89434)+E(f331(f314(x89431,x89432,x89433),x89434),f246(f935(x89432,a923)))
% 204.30/204.31 [9392]~P35(x93921,x93922,x93923,x93924,x93925)+P35(x93921,x93922,x93923,f331(f172(x93921),x93924),f331(f172(x93922),x93925))
% 204.30/204.31 [9394]~P35(x93941,x93942,x93943,f331(f172(x93941),x93944),x93945)+P35(x93941,x93942,x93943,x93944,f331(f172(x93942),x93945))
% 204.30/204.31 [9395]~P35(x93951,x93952,x93953,x93954,f331(f172(x93952),x93955))+P35(x93951,x93952,x93953,f331(f172(x93951),x93954),x93955)
% 204.30/204.31 [9402]P35(x94021,x94022,x94023,x94024,x94025)+~P35(x94021,x94022,x94023,f331(f172(x94021),x94024),f331(f172(x94022),x94025))
% 204.30/204.31 [9815]P107(f331(f331(f333(f934(f928(x98151),f928(x98151))),f331(f331(f256(f928(x98151),f928(x98151)),f331(f331(f155(x98151),x98152),x98153)),f331(f331(f155(x98151),x98152),x98154))),f161(x98151,x98155)))+~P107(f331(f331(f333(f934(f928(x98151),f928(x98151))),f331(f331(f256(f928(x98151),f928(x98151)),x98153),x98154)),f161(x98151,x98155)))
% 204.30/204.31 [9816]P107(f331(f331(f333(f934(f928(x98161),f928(x98161))),f331(f331(f256(f928(x98161),f928(x98161)),f331(f331(f138(x98161),x98162),x98163)),f331(f331(f138(x98161),x98162),x98164))),f151(x98161,x98165)))+~P107(f331(f331(f333(f934(f928(x98161),f928(x98161))),f331(f331(f256(f928(x98161),f928(x98161)),x98163),x98164)),f151(x98161,x98165)))
% 204.30/204.31 [10011]E(f331(f331(f155(x100111),f660(x100112,x100113,x100114,x100115,x100111)),f661(x100112,x100113,x100114,x100115,x100111)),x100115)+~P107(f331(f331(f333(f934(f928(x100111),f928(x100111))),f331(f331(f256(f928(x100111),f928(x100111)),x100115),f331(f331(f155(x100111),x100114),x100113))),f162(x100111,x100112)))
% 204.30/204.31 [10032]E(f331(f331(f155(x100321),f662(x100322,x100323,x100324,x100325,x100321)),f663(x100322,x100323,x100324,x100325,x100321)),x100323)+~P107(f331(f331(f333(f934(f928(x100321),f928(x100321))),f331(f331(f256(f928(x100321),f928(x100321)),f331(f331(f155(x100321),x100325),x100324)),x100323)),f162(x100321,x100322)))
% 204.30/204.31 [10179]~P107(f331(f331(f333(f934(f928(x101791),f928(x101791))),f331(f331(f256(f928(x101791),f928(x101791)),f331(f331(f155(x101791),x101795),x101792)),x101794)),f162(x101791,x101793)))+P107(f331(f331(f333(f934(f928(x101791),f928(x101791))),f331(f331(f256(f928(x101791),f928(x101791)),x101792),f663(x101793,x101794,x101792,x101795,x101791))),f162(x101791,x101793)))
% 204.30/204.31 [10248]~P107(f331(f331(f333(f934(f928(x102481),f928(x102481))),f331(f331(f256(f928(x102481),f928(x102481)),x102485),f331(f331(f155(x102481),x102484),x102483))),f162(x102481,x102482)))+P107(f331(f331(f333(f934(f928(x102481),f928(x102481))),f331(f331(f256(f928(x102481),f928(x102481)),f661(x102482,x102483,x102484,x102485,x102481)),x102483)),f162(x102481,x102482)))
% 204.30/204.31 [10443]P107(f331(f331(f333(f934(x104431,x104431)),f331(f331(f256(x104431,x104431),f331(x104432,f331(f331(f80(a927),x104433),x104434))),f331(x104432,x104433))),f311(x104431,x104435)))+~P107(f331(f331(f333(f934(x104431,x104431)),f331(f331(f256(x104431,x104431),f331(x104432,f331(a116,f617(x104434,x104433,x104435,x104432,x104431)))),f331(x104432,f617(x104434,x104433,x104435,x104432,x104431)))),f311(x104431,x104435)))
% 204.30/204.31 [5475]E(x54751,x54752)+~E(f331(f331(f155(x54753),x54754),x54751),f331(f331(f155(x54753),x54755),x54752))
% 204.30/204.31 [5476]E(x54761,x54762)+~E(f331(f331(f155(x54763),x54761),x54764),f331(f331(f155(x54763),x54762),x54765))
% 204.30/204.31 [5524]P107(f331(x55241,x55242))+~E(f331(f140(x55243,x55241),x55244),f331(f331(f155(x55243),x55242),x55245))
% 204.30/204.31 [5525]P107(f331(x55251,x55252))+~E(f331(f331(f155(x55253),x55252),x55254),f331(f140(x55253,x55251),x55255))
% 204.30/204.31 [5681]~E(f331(f331(f142(x56811),x56813),x56812),f331(f331(f155(x56811),x56814),x56815))+E(f331(f331(f168(x56811),x56812),x56813),x56814)
% 204.30/204.31 [5819]~P13(x58194,x58195,x58191)+E(f331(f331(x58191,x58192),f331(f331(x58191,x58192),x58193)),f331(f331(x58191,x58192),x58193))
% 204.30/204.31 [6366]~E(x63664,f2(a103))+E(f331(f331(f121(x63661,x63662,x63663),x63664),x63665),f331(f331(f256(f928(x63662),x63661),f117(x63662)),x63665))
% 204.30/204.31 [6436]~P109(x64362)+~E(f331(f331(f152(x64361,x64362,x64363),x64364),x64365),f117(x64361))
% 204.30/204.31 [6821]E(x68211,x68212)+~E(f331(f331(f138(x68213),x68214),f331(f331(f155(x68213),x68211),f117(x68213))),f331(f331(f138(x68213),x68215),f331(f331(f155(x68213),x68212),f117(x68213))))
% 204.30/204.31 [6822]E(x68221,x68222)+~E(f331(f331(f138(x68223),x68221),f331(f331(f155(x68223),x68224),f117(x68223))),f331(f331(f138(x68223),x68222),f331(f331(f155(x68223),x68225),f117(x68223))))
% 204.30/204.31 [7133]E(f331(f331(f313(x71331),f331(x71332,x71333)),f331(f314(x71334,x71331,x71332),x71335)),f331(f314(x71334,x71331,x71332),x71335))+~P107(f331(f331(f333(x71334),x71333),x71335))
% 204.30/204.31 [7139]~P107(f331(x71394,f331(x71393,x71395)))+P107(f331(f331(f315(x71391,x71392,x71393),x71394),x71395))
% 204.30/204.31 [7142]~P107(f331(f331(x71423,x71425),x71424))+P107(f331(f331(f247(x71421,x71422,x71423),x71424),x71425))
% 204.30/204.31 [7239]~E(f331(f314(x72391,x72392,x72393),x72394),x72395)+E(f331(f314(f935(x72391,a923),f935(x72392,a923),f314(x72391,x72392,x72393)),f331(f312(x72391),x72394)),f331(f312(x72392),x72395))
% 204.30/204.31 [7269]E(f331(f275(x72691,x72692,x72693,x72694),x72695),f331(x72694,x72695))+~P107(f331(f331(f333(x72691),x72695),x72693))
% 204.30/204.31 [7579]P24(x75791,x75792,x75793,x75794)+~P24(x75791,x75792,x75793,f331(f331(f313(x75791),x75795),x75794))
% 204.30/204.31 [7645]P107(f331(x76451,x76452))+~P107(f331(f331(f96(x76453,x76454,x76451),x76455),x76452))
% 204.30/204.31 [7686]~P107(f331(f331(f333(x76864),x76863),x76865))+P107(f331(f331(f333(x76861),f331(x76862,x76863)),f331(f314(x76864,x76861,x76862),x76865)))
% 204.30/204.31 [7708]~P109(x77082)+E(f154(x77081,x77082,x77083,f331(f140(x77081,x77084),x77085)),f331(f140(x77081,x77084),f154(x77081,x77082,x77083,x77085)))
% 204.30/204.31 [7739]P107(f331(x77391,f331(x77392,x77393)))+~P107(f331(f331(f315(x77394,x77395,x77392),x77391),x77393))
% 204.30/204.31 [7742]P107(f331(f331(x77421,x77422),x77423))+~P107(f331(f331(f247(x77424,x77425,x77421),x77423),x77422))
% 204.30/204.31 [7743]P107(f331(f331(x77431,x77432),x77433))+~P107(f331(f331(f96(x77434,x77431,x77435),x77432),x77433))
% 204.30/204.31 [7804]~P107(f331(f331(f333(x78043),f331(x78044,x78042)),x78045))+P107(f331(f331(f333(x78041),x78042),f331(f315(x78041,x78043,x78044),x78045)))
% 204.30/204.31 [8201]~P107(f331(f331(f333(x82015),x82013),f331(f315(x82015,x82011,x82012),x82014)))+P107(f331(f331(f333(x82011),f331(x82012,x82013)),x82014))
% 204.30/204.31 [8502]~P15(x85022,x85021,x85023)+E(f331(f146(x85021,x85022,f331(f7(x85022,x85021,x85021),x85023),x85024),f156(x85022,x85025)),f331(f331(f64(x85022,x85021,x85023),x85024),f331(f176(x85022),x85025)))
% 204.30/204.31 [8524]E(f331(x85241,f425(x85242,x85241,x85243,x85244)),x85244)+~P107(f331(f331(f333(x85245),x85244),f331(f314(x85243,x85245,x85241),x85242)))
% 204.30/204.31 [8838]~E(x88382,f331(f331(f155(x88381),x88384),x88385))+P107(f331(f331(f333(f934(f928(x88381),f928(x88381))),f331(f331(f256(f928(x88381),f928(x88381)),f117(x88381)),x88382)),f151(x88381,x88383)))
% 204.30/204.31 [8884]E(f331(x88841,f331(f92(x88842,x88843,x88844,x88841),x88845)),x88845)+~P107(f331(f331(f333(x88843),x88845),f331(f314(x88842,x88843,x88841),x88844)))
% 204.30/204.31 [8887]P24(x88871,x88872,f92(x88872,x88871,x88873,x88874),x88875)+~P107(f331(f331(f239(f935(x88871,a923)),x88875),f331(f314(x88872,x88871,x88874),x88873)))
% 204.30/204.31 [8894]~P35(x88941,x88943,x88945,x88942,x88944)+E(f331(f193(f928(x88941)),x88942),f331(f193(f928(x88943)),x88944))
% 204.30/204.31 [8905]P107(f331(f331(f239(f935(x89051,a923)),f331(f331(f40(x89052,f935(x89051,a923)),x89053),x89054)),f331(x89054,x89055)))+~P107(f331(f331(f333(x89052),x89055),x89053))
% 204.30/204.31 [8959]~P57(x89591,x89592,x89593,x89595,x89594)+E(f331(f314(x89591,x89592,x89593),f246(f935(x89591,a923))),x89594)
% 204.30/204.31 [9186]E(f331(f140(x91861,x91862),f749(x91863,x91864,x91865,x91862,x91861)),x91863)+~E(f331(f140(x91861,x91862),x91865),f331(f331(f155(x91861),x91864),x91863))
% 204.30/204.31 [9187]E(f331(f140(x91871,x91872),f753(x91873,x91872,x91874,x91875,x91871)),x91874)+~E(f331(f331(f155(x91871),x91875),x91874),f331(f140(x91871,x91872),x91873))
% 204.30/204.31 [9281]E(f331(f193(f928(x92811)),x92812),x92813)+~P107(f331(f331(f333(f934(f928(x92811),f928(x92811))),f331(f331(f256(f928(x92811),f928(x92811)),x92814),x92812)),f331(f147(x92811,x92815),x92813)))
% 204.30/204.31 [9282]E(f331(f193(f928(x92821)),x92822),x92823)+~P107(f331(f331(f333(f934(f928(x92821),f928(x92821))),f331(f331(f256(f928(x92821),f928(x92821)),x92822),x92824)),f331(f147(x92821,x92825),x92823)))
% 204.30/204.31 [9351]P107(f331(f331(f333(x93511),f425(x93512,x93513,x93511,x93514)),x93512))+~P107(f331(f331(f333(x93515),x93514),f331(f314(x93511,x93515,x93513),x93512)))
% 204.30/204.31 [9511]E(f331(f314(x95111,x95112,x95113),f438(x95114,x95113,x95111,x95115,x95112)),x95115)+~P107(f331(f331(f239(f935(x95112,a923)),x95115),f331(f314(x95111,x95112,x95113),x95114)))
% 204.30/204.31 [9833]P107(f331(f331(f333(f934(f928(x98331),f928(x98331))),f331(f331(f256(f928(x98331),f928(x98331)),f331(f331(f155(x98331),x98332),x98333)),f331(f331(f155(x98331),x98332),x98334))),f311(f928(x98331),f161(x98331,x98335))))+~P107(f331(f331(f333(f934(f928(x98331),f928(x98331))),f331(f331(f256(f928(x98331),f928(x98331)),x98333),x98334)),f311(f928(x98331),f161(x98331,x98335))))
% 204.30/204.31 [9864]~E(f331(x98643,f703(x98645,x98644,x98643,x98642,x98641)),f331(x98645,f703(x98645,x98644,x98643,x98642,x98641)))+E(f331(f331(f158(x98641,x98642),x98643),x98644),f331(f331(f158(x98641,x98642),x98645),x98644))
% 204.30/204.31 [9939]~E(f331(f140(x99391,x99395),x99394),f331(f331(f155(x99391),x99393),x99392))+E(f331(f331(f138(x99391),f751(x99392,x99393,x99394,x99395,x99391)),f331(f331(f155(x99391),x99393),f749(x99392,x99393,x99394,x99395,x99391))),x99394)
% 204.30/204.31 [9940]~E(f331(f331(f155(x99401),x99405),x99404),f331(f140(x99401,x99403),x99402))+E(f331(f331(f138(x99401),f754(x99402,x99403,x99404,x99405,x99401)),f331(f331(f155(x99401),x99405),f753(x99402,x99403,x99404,x99405,x99401))),x99402)
% 204.30/204.31 [9944]E(f331(f331(f158(x99441,x99442),x99443),x99444),f331(f331(f158(x99441,x99442),x99445),x99444))+P107(f331(f331(f333(x99441),f703(x99443,x99444,x99445,x99442,x99441)),f331(f176(x99441),x99444)))
% 204.30/204.31 [9974]~P107(f331(f331(f333(x99745),x99744),f331(f289(x99741,x99745,x99743),x99742)))+P107(f331(f331(f333(x99741),f519(x99742,x99743,x99741,x99744,x99745)),x99742))
% 204.30/204.31 [9975]~P107(f331(f331(f333(x99755),x99754),f331(f289(x99751,x99755,x99753),x99752)))+P107(f331(f331(f333(x99751),f523(x99752,x99753,x99751,x99754,x99755)),x99752))
% 204.30/204.31 [10005]~P107(f331(f331(f239(f935(x100055,a923)),x100054),f331(f314(x100051,x100055,x100053),x100052)))+P107(f331(f331(f239(f935(x100051,a923)),f438(x100052,x100053,x100051,x100054,x100055)),x100052))
% 204.30/204.31 [10444]E(x104441,f2(a103))+E(f228(f934(f928(x104442),x104443),f934(x104442,x104443),f331(f331(f256(f928(x104442),x104443),f117(x104442)),x104444),f331(f261(x104442,x104443,f934(f928(x104442),x104443)),f331(f331(f7(x104442,f935(x104443,f934(f928(x104442),x104443)),f935(x104443,f934(f928(x104442),x104443))),f331(f331(f8(f935(f934(f928(x104442),x104443),f934(f928(x104442),x104443)),f935(f935(x104443,f934(f928(x104442),x104443)),f935(x104443,f934(f928(x104442),x104443))),x104442),f8(f934(f928(x104442),x104443),f934(f928(x104442),x104443),x104443)),f331(f331(f8(f935(f928(x104442),f935(x104443,f934(f928(x104442),x104443))),f935(f934(f928(x104442),x104443),f934(f928(x104442),x104443)),x104442),f261(f928(x104442),x104443,f934(f928(x104442),x104443))),f331(f331(f8(f935(f928(x104442),f928(x104442)),f935(f928(x104442),f935(x104443,f934(f928(x104442),x104443))),x104442),f331(f8(f928(x104442),f935(x104443,f934(f928(x104442),x104443)),f928(x104442)),f256(f928(x104442),x104443))),f155(x104442))))),f331(f121(x104443,x104442,x104445),f331(f331(f23(a103),x104441),f78(a103))))),f331(x104445,x104444)),f331(f331(f121(x104443,x104442,x104445),x104441),x104444))
% 204.30/204.31 [6245]E(x62451,x62452)+~E(f331(f260(x62453,x62454),f331(f331(f256(x62453,x62454),x62455),x62451)),x62452)
% 204.30/204.31 [6246]E(x62461,x62462)+~E(f331(f255(x62463,x62464),f331(f331(f256(x62463,x62464),x62461),x62465)),x62462)
% 204.30/204.31 [6510]~E(x65103,f331(f331(f138(x65101),x65104),f331(f331(f155(x65101),x65102),x65105)))+P107(f331(f331(f333(x65101),x65102),f331(f176(x65101),x65103)))
% 204.30/204.31 [6905]E(f331(f314(x69051,x69052,f331(f16(x69052,x69051),x69053)),x69054),f331(f331(f313(x69052),x69053),f192(f935(x69052,a923))))+~P107(f331(f331(f333(x69051),x69055),x69054))
% 204.30/204.31 [6976]E(f331(f331(f114(f935(x69761,a923)),f331(f176(x69761),x69762)),f331(f176(x69761),x69763)),f331(f176(x69761),x69764))+~E(f170(x69761,x69765,x69764),f331(f331(f256(f928(x69761),f928(x69761)),x69762),x69763))
% 204.30/204.31 [7076]~P109(x70762)+E(f331(f193(f928(x70761)),f331(f331(f152(x70761,x70762,x70763),x70764),x70765)),f331(a116,f331(f193(f928(x70761)),x70765)))
% 204.30/204.31 [7088]~P109(x70882)+E(f331(f176(x70881),f331(f331(f152(x70881,x70882,x70883),x70884),x70885)),f331(f331(f313(x70881),x70884),f331(f176(x70881),x70885)))
% 204.30/204.31 [7363]~P120(x73631)+E(f331(f331(f81(x73631),f331(f331(f81(x73631),x73632),x73633)),f331(f331(f81(x73631),x73634),x73635)),f331(f331(f81(x73631),f331(f331(f81(x73631),x73632),x73634)),f331(f331(f81(x73631),x73633),x73635)))
% 204.30/204.31 [7364]~P120(x73641)+E(f331(f331(f80(x73641),f331(f331(f80(x73641),x73642),x73643)),f331(f331(f80(x73641),x73644),x73645)),f331(f331(f80(x73641),f331(f331(f80(x73641),x73642),x73644)),f331(f331(f80(x73641),x73643),x73645)))
% 204.30/204.31 [7365]~P64(x73651)+E(f331(f331(f294(x73651),f331(f331(f81(x73651),x73652),x73653)),f331(f331(f81(x73651),x73654),x73655)),f331(f331(f81(x73651),f331(f331(f294(x73651),x73652),x73654)),f331(f331(f294(x73651),x73653),x73655)))
% 204.30/204.31 [7379]~P109(x73791)+E(f307(x73791,f331(f331(f238(x73791),x73792),x73793),f331(f331(f237(x73791),x73794),x73795)),f331(f331(f105(f935(x73791,a923)),f307(x73791,x73792,x73794)),f307(x73791,x73793,x73795)))
% 204.30/204.31 [7380]~P109(x73801)+E(f309(x73801,f331(f331(f238(x73801),x73802),x73803),f331(f331(f237(x73801),x73804),x73805)),f331(f331(f105(f935(x73801,a923)),f309(x73801,x73802,x73804)),f309(x73801,x73803,x73805)))
% 204.30/204.31 [7381]~P109(x73811)+E(f310(x73811,f331(f331(f238(x73811),x73812),x73813),f331(f331(f237(x73811),x73814),x73815)),f331(f331(f105(f935(x73811,a923)),f310(x73811,x73812,x73814)),f310(x73811,x73813,x73815)))
% 204.30/204.31 [7382]~P109(x73821)+E(f331(f331(f105(f935(x73821,a923)),f331(f306(x73821,x73822),x73823)),f331(f306(x73821,x73824),x73825)),f331(f306(x73821,f331(f331(f238(x73821),x73822),x73824)),f331(f331(f237(x73821),x73823),x73825)))
% 204.30/204.31 [7502]~P107(f331(x75021,f502(x75023,x75022,x75021)))+P107(f331(x75021,f331(f331(f256(x75022,x75023),x75024),x75025)))
% 204.30/204.31 [7610]~E(x76102,f331(x76104,x76105))+P107(f331(f331(f333(x76101),x76102),f331(f314(x76103,x76101,x76104),f246(f935(x76103,a923)))))
% 204.30/204.31 [7683]~P13(x76833,x76832,x76834)+P13(x76831,x76832,f331(f331(f8(x76833,f935(x76832,x76832),x76831),x76834),x76835))
% 204.30/204.31 [7684]~P15(x76843,x76842,x76844)+P15(x76841,x76842,f331(f331(f8(x76843,f935(x76842,x76842),x76841),x76844),x76845))
% 204.30/204.31 [7821]~P24(x78211,x78212,x78213,x78214)+P24(x78211,x78212,x78213,f331(f331(f23(f935(x78211,a923)),x78214),x78215))
% 204.30/204.31 [7977]~P107(f331(f331(x79773,x79774),x79775))+P107(f331(f331(f261(x79771,x79772,a923),x79773),f331(f331(f256(x79771,x79772),x79774),x79775)))
% 204.30/204.31 [8092]~P107(f331(x80922,x80924))+~E(f331(f331(f142(x80921),f331(f193(f928(x80921)),f181(x80921,x80922,x80923))),x80923),f331(f331(f155(x80921),x80924),x80925))
% 204.30/204.31 [8112]P24(x81121,x81122,x81123,x81124)+~P24(x81121,x81122,x81123,f331(f331(f114(f935(x81121,a923)),x81125),x81124))
% 204.30/204.31 [8113]P24(x81131,x81132,x81133,x81134)+~P24(x81131,x81132,x81133,f331(f331(f114(f935(x81131,a923)),x81134),x81135))
% 204.30/204.31 [8159]~P109(x81592)+E(f331(f331(f152(x81591,x81592,x81593),x81594),f154(x81591,x81592,x81593,x81595)),f154(x81591,x81592,x81593,f331(f331(f155(x81591),x81594),x81595)))
% 204.30/204.31 [8479]~P13(x84792,x84791,x84793)+E(f331(f146(x84791,x84792,f331(f7(x84792,x84791,x84791),x84793),x84794),x84795),f331(f331(f64(x84792,x84791,x84793),x84794),f331(f176(x84792),x84795)))
% 204.30/204.31 [8507]~E(f331(f331(f142(x85071),f331(f193(f928(x85071)),f181(x85071,x85072,x85073))),x85073),f331(f331(f155(x85071),x85074),x85075))+E(f331(f331(f138(x85071),f181(x85071,x85072,x85073)),f331(f331(f155(x85071),x85074),x85075)),x85073)
% 204.30/204.31 [8534]P107(f331(f331(x85341,x85342),x85343))+~P107(f331(f331(f261(x85344,x85345,a923),x85341),f331(f331(f256(x85344,x85345),x85342),x85343)))
% 204.30/204.31 [9022]P107(f331(f331(f239(f935(x90221,a923)),f331(f314(x90222,x90221,x90223),x90224)),f331(f314(x90222,x90221,x90223),x90225)))+~P107(f331(f331(f239(f935(x90222,a923)),x90224),x90225))
% 204.30/204.31 [9023]P107(f331(f331(f239(f935(x90231,a923)),f331(f315(x90231,x90232,x90233),x90234)),f331(f315(x90231,x90232,x90233),x90235)))+~P107(f331(f331(f239(f935(x90232,a923)),x90234),x90235))
% 204.30/204.31 [9102]E(x91021,f2(a103))+E(f331(f331(f263(x91022,x91023,x91022,f934(x91023,x91022)),f331(x91024,x91025)),f277(x91023,x91022,f331(f331(f23(a103),x91021),f78(a103)),x91024)),f331(f277(x91023,x91022,x91021,x91024),x91025))
% 204.30/204.31 [9211]P107(f331(f331(f259(x92111,x92112,a923,x92113),x92114),x92115))+~P107(f331(x92113,f331(f331(f256(x92111,x92112),x92114),x92115)))
% 204.30/204.31 [9490]~P107(f331(f331(f259(x94902,x94903,a923,x94901),x94904),x94905))+P107(f331(x94901,f331(f331(f256(x94902,x94903),x94904),x94905)))
% 204.30/204.31 [9675]~P107(f331(f331(f333(x96752),x96755),f331(f314(x96751,x96752,x96754),x96753)))+P107(f331(f331(f333(x96751),f331(f92(x96751,x96752,x96753,x96754),x96755)),x96753))
% 204.30/204.31 [9775]~P107(f331(f61(x97753),f331(f314(x97752,x97753,x97755),f246(f935(x97752,a923)))))+P107(f331(f61(x97751),f331(f314(x97752,x97751,f331(f331(f8(x97753,x97751,x97752),x97754),x97755)),f246(f935(x97752,a923)))))
% 204.30/204.31 [9800]P107(f331(f331(f239(f935(f935(x98001,a923),a923)),f331(f314(f935(x98002,a923),f935(x98001,a923),f314(x98002,x98001,x98003)),f331(f312(x98002),x98004))),f331(f312(x98001),x98005)))+~P107(f331(f331(f239(f935(x98001,a923)),f331(f314(x98002,x98001,x98003),x98004)),x98005))
% 204.30/204.31 [9872]E(x98721,x98722)+~P107(f331(f66(x98723,x98724,x98725,x98721,f192(f935(x98723,a923))),x98722))
% 204.30/204.31 [9888]E(f331(f331(f256(x98881,x98882),f566(x98883,x98884,x98885,x98882,x98881)),f568(x98883,x98884,x98885,x98882,x98881)),x98885)+~P107(f331(f331(f333(f934(x98881,x98882)),x98885),f331(f331(f258(x98881,x98882),x98884),x98883)))
% 204.30/204.31 [9980]P107(f331(f331(f333(x99801),f566(x99802,x99803,x99804,x99805,x99801)),x99803))+~P107(f331(f331(f333(f934(x99801,x99805)),x99804),f331(f331(f258(x99801,x99805),x99803),x99802)))
% 204.30/204.31 [10080]P23(x100805,x100804,f331(f331(f313(f926(x100805)),f331(f331(f331(f91(x100805),x100801),x100803),x100802)),f192(f935(f926(x100805),a923))))+P107(f331(f331(x100801,f458(x100802,x100803,x100804,x100805,x100801)),f473(x100802,x100803,x100804,x100805,x100801)))
% 204.30/204.31 [10136]P107(f331(f331(f333(x101361),f568(x101362,x101363,x101364,x101361,x101365)),f331(x101362,f566(x101362,x101363,x101364,x101361,x101365))))+~P107(f331(f331(f333(f934(x101365,x101361)),x101364),f331(f331(f258(x101365,x101361),x101363),x101362)))
% 204.30/204.31 [10156]P107(f331(f331(f333(f934(x101561,x101561)),f331(f331(f256(x101561,x101561),x101562),f636(x101563,x101564,x101565,x101562,x101561))),x101563))+~P107(f331(f331(f333(f934(x101561,x101561)),f331(f331(f256(x101561,x101561),x101562),x101565)),f331(f331(f187(f934(x101561,x101561),a923),f331(a116,x101564)),x101563)))
% 204.30/204.31 [10157]P107(f331(f331(f333(f934(x101571,x101571)),f331(f331(f256(x101571,x101571),x101572),f640(x101573,x101574,x101575,x101572,x101571))),x101573))+~P107(f331(f331(f333(f934(x101571,x101571)),f331(f331(f256(x101571,x101571),x101572),x101575)),f331(f331(f187(f934(x101571,x101571),a923),f331(a116,x101574)),x101573)))
% 204.30/204.31 [10174]~P107(f331(f331(f333(f934(f928(x101741),f928(x101741))),f331(f331(f256(f928(x101741),f928(x101741)),f331(f331(f155(x101741),x101742),x101745)),x101744)),f162(x101741,x101743)))+P107(f331(f331(f333(f934(x101741,x101741)),f331(f331(f256(x101741,x101741),x101742),f662(x101743,x101744,x101745,x101742,x101741))),x101743))
% 204.30/204.31 [10176]~P23(x101761,x101762,f331(f331(f313(f926(x101761)),f331(f331(f331(f91(x101761),f96(x101761,x101763,x101764)),x101765),x101763)),f192(f935(f926(x101761),a923))))+P23(x101761,x101762,f331(f331(f313(f926(x101761)),f331(f331(f331(f91(x101761),x101763),f29(x101764,x101765)),f96(x101761,x101763,f331(f73(a923,a923,a924,a326),x101764)))),f192(f935(f926(x101761),a923))))
% 204.30/204.31 [10177]~P27(x101771,x101772,f331(f331(f313(f926(x101771)),f331(f331(f331(f91(x101771),f96(x101771,x101773,x101774)),x101775),x101773)),f192(f935(f926(x101771),a923))))+P27(x101771,x101772,f331(f331(f313(f926(x101771)),f331(f331(f331(f91(x101771),x101773),f29(x101774,x101775)),f96(x101771,x101773,f331(f73(a923,a923,a924,a326),x101774)))),f192(f935(f926(x101771),a923))))
% 204.30/204.31 [10470]P23(x104701,x104702,f331(f331(f313(f926(x104701)),f331(f331(f331(f91(x104701),x104703),x104704),x104705)),f192(f935(f926(x104701),a923))))+~P23(x104701,x104702,f331(f331(f313(f926(x104701)),f331(f331(f331(f91(x104701),f331(f16(f935(a924,a923),x104701),f331(f331(f7(a924,a924,a923),a328),f473(x104705,x104704,x104702,x104701,x104703)))),x104704),f331(f16(f935(a924,a923),x104701),f331(x104705,f458(x104705,x104704,x104702,x104701,x104703))))),f192(f935(f926(x104701),a923))))
% 204.30/204.31 [6588]P107(f331(x65882,x65884))+E(f181(x65881,x65882,f331(f331(f138(x65881),x65883),f331(f331(f155(x65881),x65884),x65885))),f181(x65881,x65882,x65883))
% 204.30/204.31 [6636]~P79(x66362)+E(f331(f331(f331(f114(f935(x66361,x66362)),x66363),x66364),x66365),f331(f331(f114(x66362),f331(x66363,x66365)),f331(x66364,x66365)))
% 204.30/204.31 [6638]~P2(x66382)+E(f331(f331(f331(f23(f935(x66381,x66382)),x66383),x66384),x66385),f331(f331(f23(x66382),f331(x66383,x66385)),f331(x66384,x66385)))
% 204.30/204.31 [6640]~P79(x66402)+E(f331(f331(f331(f105(f935(x66401,x66402)),x66403),x66404),x66405),f331(f331(f105(x66402),f331(x66403,x66405)),f331(x66404,x66405)))
% 204.30/204.31 [6660]E(x66601,x66602)+E(f331(f331(f168(x66603),f331(f331(f163(x66603,x66604),x66601),x66605)),x66602),f331(f331(f168(x66603),x66604),x66602))
% 204.30/204.31 [6924]~E(x69244,f192(f935(x69243,a923)))+E(f331(f331(f114(f935(x69241,a923)),x69242),f331(f331(f39(x69243,f935(x69241,a923)),x69244),x69245)),x69242)
% 204.30/204.31 [6925]~E(x69254,f192(f935(x69253,a923)))+E(f331(f331(f23(f935(x69251,a923)),x69252),f331(f331(f39(x69253,f935(x69251,a923)),x69254),x69255)),x69252)
% 204.30/204.31 [6926]~E(x69264,f192(f935(x69263,a923)))+E(f331(f331(f105(f935(x69261,a923)),x69262),f331(f331(f40(x69263,f935(x69261,a923)),x69264),x69265)),x69262)
% 204.30/204.31 [6942]~E(x69424,f192(f935(x69423,a923)))+E(f331(f331(f313(x69421),x69422),f331(f331(f39(x69423,f935(x69421,a923)),x69424),x69425)),f331(f331(f313(x69421),x69422),f192(f935(x69421,a923))))
% 204.30/204.31 [7731]E(f331(f331(f168(x77311),f331(f331(f158(x77312,x77311),x77313),x77314)),x77315),f331(x77313,f331(f331(f168(x77312),x77314),x77315)))+~P107(f331(f331(f240(a927),x77315),f331(f193(f928(x77312)),x77314)))
% 204.30/204.31 [7792]E(f331(f331(f114(f935(x77921,a923)),f331(x77922,x77923)),f331(f331(f39(x77924,f935(x77921,a923)),x77925),x77922)),f331(f331(f39(x77924,f935(x77921,a923)),x77925),x77922))+~P107(f331(f331(f333(x77924),x77923),x77925))
% 204.30/204.31 [7793]E(f331(f331(f105(f935(x77931,a923)),f331(x77932,x77933)),f331(f331(f40(x77934,f935(x77931,a923)),x77935),x77932)),f331(f331(f40(x77934,f935(x77931,a923)),x77935),x77932))+~P107(f331(f331(f333(x77934),x77933),x77935))
% 204.30/204.31 [8401]~E(x84013,f192(f935(x84011,a923)))+E(f331(f331(f39(x84011,f935(x84012,a923)),x84013),f331(f331(f8(f935(x84012,a923),f935(x84012,a923),x84011),f331(f313(x84012),x84014)),x84015)),f192(f935(x84012,a923)))
% 204.30/204.31 [8407]~P107(f331(f331(f333(x84074),x84073),x84075))+P107(f331(f331(f239(f935(x84071,a923)),f331(x84072,x84073)),f331(f331(f39(x84074,f935(x84071,a923)),x84075),x84072)))
% 204.30/204.31 [8533]~E(f331(x85334,x85332),x85335)+P107(f331(f331(f333(x85331),x85332),f331(f315(x85331,x85333,x85334),f331(f331(f313(x85333),x85335),f192(f935(x85333,a923))))))
% 204.30/204.31 [8580]~P55(x85801,x85802,f331(f290(x85802,x85801),x85803))+E(f331(f331(f105(f935(x85801,a923)),f331(f289(x85802,x85801,x85803),x85804)),f331(f289(x85802,x85801,x85803),x85805)),f331(f289(x85802,x85801,x85803),f331(f331(f105(f935(x85802,a923)),x85804),x85805)))
% 204.30/204.31 [8657]E(x86571,f2(a103))+E(f331(f122(x86572,x86573,f331(x86574,f331(f331(f23(a103),x86571),f78(a103)))),f331(f331(f7(x86572,a103,f929(x86573)),x86575),x86571)),f331(f203(x86572,x86573,x86574,x86575),x86571))
% 204.30/204.31 [8699]E(x86991,f192(f935(x86992,a923)))+E(f331(f331(f39(x86992,f935(x86993,a923)),x86991),f331(f331(f8(f935(x86993,a923),f935(x86993,a923),x86992),f331(f313(x86993),x86994)),x86995)),f331(f331(f313(x86993),x86994),f331(f331(f39(x86992,f935(x86993,a923)),x86991),x86995)))
% 204.30/204.31 [8756]~P24(x87562,x87561,x87563,f246(f935(x87562,a923)))+E(f331(f331(f23(f935(x87561,a923)),f331(f314(x87562,x87561,x87563),x87564)),f331(f314(x87562,x87561,x87563),x87565)),f331(f314(x87562,x87561,x87563),f331(f331(f23(f935(x87562,a923)),x87564),x87565)))
% 204.30/204.31 [8757]~P24(x87572,x87571,x87573,f246(f935(x87572,a923)))+E(f331(f331(f105(f935(x87571,a923)),f331(f314(x87572,x87571,x87573),x87574)),f331(f314(x87572,x87571,x87573),x87575)),f331(f314(x87572,x87571,x87573),f331(f331(f105(f935(x87572,a923)),x87574),x87575)))
% 204.30/204.31 [8825]~P107(f331(f331(f67(x88251,x88252,x88255),x88253),x88254))+P107(f331(f331(f333(f934(x88251,x88252)),f331(f331(f256(x88251,x88252),x88253),x88254)),x88255))
% 204.30/204.31 [8857]P107(f331(f331(f333(x88571),x88572),f331(f288(x88573,x88571),x88574)))+~P107(f331(f331(f333(f934(x88573,x88571)),f331(f331(f256(x88573,x88571),x88575),x88572)),x88574))
% 204.30/204.31 [8859]P107(f331(f331(f333(x88591),x88592),f331(f268(x88591,x88593),x88594)))+~P107(f331(f331(f333(f934(x88591,x88593)),f331(f331(f256(x88591,x88593),x88592),x88595)),x88594))
% 204.30/204.31 [9006]P107(f331(f331(f67(x90061,x90062,x90063),x90064),x90065))+~P107(f331(f331(f333(f934(x90061,x90062)),f331(f331(f256(x90061,x90062),x90064),x90065)),x90063))
% 204.30/204.31 [9045]E(f331(x90451,x90452),x90453)+~P107(f331(f331(f333(x90454),x90452),f331(f315(x90454,x90455,x90451),f331(f331(f313(x90455),x90453),f192(f935(x90455,a923))))))
% 204.30/204.31 [9278]P107(f331(f331(f333(f934(x92781,x92782)),f331(f331(f256(x92781,x92782),x92783),x92784)),f331(f290(x92782,x92781),x92785)))+~P107(f331(f331(f333(f934(x92782,x92781)),f331(f331(f256(x92782,x92781),x92784),x92783)),x92785))
% 204.30/204.31 [9296]~P107(f331(f331(x92961,x92965),x92964))+P107(f331(f331(x92961,f331(f260(x92962,x92963),f331(f331(f256(x92962,x92963),x92964),x92965))),f331(f255(x92962,x92963),f331(f331(f256(x92962,x92963),x92964),x92965))))
% 204.30/204.31 [9326]~P107(f331(f331(f333(f934(x93262,x93261)),f331(f331(f256(x93262,x93261),x93264),x93263)),f331(f290(x93261,x93262),x93265)))+P107(f331(f331(f333(f934(x93261,x93262)),f331(f331(f256(x93261,x93262),x93263),x93264)),x93265))
% 204.30/204.31 [9358]~P107(f331(f331(f333(f934(x93583,x93581)),f331(f331(f256(x93583,x93581),x93585),x93582)),x93584))+P107(f331(f331(f333(x93581),x93582),f331(f289(x93583,x93581,x93584),f331(f331(f313(x93583),x93585),f192(f935(x93583,a923))))))
% 204.30/204.31 [9407]P107(f331(f331(f333(f934(x94071,x94072)),f331(f331(f256(x94071,x94072),x94073),x94074)),x94075))+~P107(f331(f331(f333(x94072),x94074),f331(f289(x94071,x94072,x94075),f331(f331(f313(x94071),x94073),f192(f935(x94071,a923))))))
% 204.30/204.31 [9497]~P72(x94971)+E(f331(f331(f6(a927,x94971),x94972),f307(a927,f331(f331(f80(a927),x94973),x94974),f331(f331(f80(a927),x94975),x94974))),f331(f331(f6(a927,x94971),f331(f331(f8(a927,x94971,a927),x94972),f331(f331(f7(a927,a927,a927),f80(a927)),x94974))),f307(a927,x94973,x94975)))
% 204.30/204.31 [9516]~P72(x95161)+E(f331(f331(f6(a927,x95161),x95162),f331(f306(a927,f331(f331(f80(a927),x95163),x95164)),f331(f331(f80(a927),x95165),x95164))),f331(f331(f6(a927,x95161),f331(f331(f8(a927,x95161,a927),x95162),f331(f331(f7(a927,a927,a927),f80(a927)),x95164))),f331(f306(a927,x95163),x95165)))
% 204.30/204.31 [9575]~P24(x95751,x95752,x95753,f246(f935(x95751,a923)))+E(f331(f331(f158(x95751,x95752),x95753),f331(f140(x95751,f331(f331(f8(a923,a923,x95751),a326),f331(a328,x95754))),x95755)),f331(f140(x95752,f331(f331(f8(a923,a923,x95752),a326),f331(a328,f331(x95753,x95754)))),f331(f331(f158(x95751,x95752),x95753),x95755)))
% 204.30/204.31 [9595]~P24(x95951,x95952,x95953,f331(f331(f313(x95951),x95954),f331(f176(x95951),x95955)))+E(f331(f331(f158(x95951,x95952),x95953),f331(f140(x95951,f331(f331(f8(a923,a923,x95951),a326),f331(a328,x95954))),x95955)),f331(f140(x95952,f331(f331(f8(a923,a923,x95952),a326),f331(a328,f331(x95953,x95954)))),f331(f331(f158(x95951,x95952),x95953),x95955)))
% 204.30/204.31 [9763]P107(f331(f331(f333(f934(f928(x97631),f928(x97631))),f331(f331(f256(f928(x97631),f928(x97631)),f331(f331(f155(x97631),x97632),x97633)),f331(f331(f155(x97631),x97634),x97633))),f161(x97631,x97635)))+~P107(f331(f331(f333(f934(x97631,x97631)),f331(f331(f256(x97631,x97631),x97632),x97634)),x97635))
% 204.30/204.31 [9883]E(f331(f331(f313(x98831),f593(x98832,x98833,x98834,x98835,x98831)),f604(x98832,x98833,x98834,x98835,x98831)),f331(f331(f313(x98831),x98834),x98833))+~P107(f331(f62(x98831,x98835,f331(f331(f313(x98831),x98834),x98833)),x98832))
% 204.30/204.31 [9884]E(f331(f331(f313(x98841),f615(x98842,x98843,x98844,x98845,x98841)),f628(x98842,x98843,x98844,x98845,x98841)),f331(f331(f313(x98841),x98844),x98843))+~P107(f331(f62(x98841,x98845,f331(f331(f313(x98841),x98844),x98843)),x98842))
% 204.30/204.31 [9965]P107(f331(f331(f333(x99651),f898(x99652,x99653,x99654,x99655,x99651)),x99654))+P107(f331(f331(f331(f40(x99651,f935(x99655,a923)),x99654),x99653),x99652))
% 204.30/204.31 [9970]P107(f331(f331(f333(x99701),f891(x99702,x99703,x99701,x99704,x99705)),x99703))+P107(f331(f331(f333(x99705),x99704),f331(f331(f40(x99701,f935(x99705,a923)),x99703),x99702)))
% 204.30/204.31 [9978]P107(f331(f331(f333(x99781),f892(x99782,x99783,x99781,x99784,x99785)),x99783))+P107(f331(f331(f239(f935(x99785,a923)),x99784),f331(f331(f40(x99781,f935(x99785,a923)),x99783),x99782)))
% 204.30/204.31 [9979]P107(f331(f331(f333(x99791),f848(x99792,x99793,x99794,x99795,x99791)),x99795))+P107(f331(f331(f239(f935(x99794,a923)),x99793),f331(f331(f40(x99791,f935(x99794,a923)),x99795),x99792)))
% 204.30/204.31 [9981]P107(f331(f331(x99811,f813(x99812,x99811,x99813,x99814,x99815)),x99812))+~P107(f331(f331(f331(f39(x99815,f935(x99814,a923)),x99813),x99811),x99812))
% 204.30/204.31 [9985]P107(f331(f331(f333(x99851),f813(x99852,x99853,x99854,x99855,x99851)),x99854))+~P107(f331(f331(f331(f39(x99851,f935(x99855,a923)),x99854),x99853),x99852))
% 204.30/204.31 [9986]P53(x99864,f331(f331(f40(x99861,f935(x99864,a923)),x99865),x99863),f331(f331(f40(x99861,f935(f934(x99864,x99864),a923)),x99865),x99862))+P107(f331(f331(f333(x99861),f783(x99862,x99863,x99864,x99865,x99861)),x99865))
% 204.30/204.31 [9987]P53(x99874,f331(f331(f39(x99871,f935(x99874,a923)),x99875),x99873),f331(f331(f39(x99871,f935(f934(x99874,x99874),a923)),x99875),x99872))+P107(f331(f331(f333(x99871),f836(x99872,x99873,x99874,x99875,x99871)),x99875))
% 204.30/204.31 [9997]P107(f331(f331(f333(x99971),f837(x99972,x99973,x99971,x99974,x99975)),x99973))+~P107(f331(f331(f333(x99975),x99974),f331(f331(f39(x99971,f935(x99975,a923)),x99973),x99972)))
% 204.30/204.31 [10003]P107(f331(f331(f333(x100031),x100032),f331(x100033,f837(x100033,x100034,x100035,x100032,x100031))))+~P107(f331(f331(f333(x100031),x100032),f331(f331(f39(x100035,f935(x100031,a923)),x100034),x100033)))
% 204.30/204.31 [10085]~P107(f331(f331(x100854,f898(x100855,x100854,x100853,x100852,x100851)),x100855))+P107(f331(f331(f331(f40(x100851,f935(x100852,a923)),x100853),x100854),x100855))
% 204.30/204.31 [10088]~P107(f331(f331(f333(x100881),x100882),f331(x100885,f891(x100885,x100884,x100883,x100882,x100881))))+P107(f331(f331(f333(x100881),x100882),f331(f331(f40(x100883,f935(x100881,a923)),x100884),x100885)))
% 204.30/204.31 [10092]~P53(x100921,f331(x100924,f836(x100925,x100924,x100921,x100923,x100922)),f331(x100925,f836(x100925,x100924,x100921,x100923,x100922)))+P53(x100921,f331(f331(f39(x100922,f935(x100921,a923)),x100923),x100924),f331(f331(f39(x100922,f935(f934(x100921,x100921),a923)),x100923),x100925))
% 204.30/204.31 [10093]~P53(x100931,f331(x100934,f783(x100935,x100934,x100931,x100933,x100932)),f331(x100935,f783(x100935,x100934,x100931,x100933,x100932)))+P53(x100931,f331(f331(f40(x100932,f935(x100931,a923)),x100933),x100934),f331(f331(f40(x100932,f935(f934(x100931,x100931),a923)),x100933),x100935))
% 204.30/204.31 [10094]~P107(f331(f331(f239(f935(x100941,a923)),x100942),f331(x100945,f892(x100945,x100944,x100943,x100942,x100941))))+P107(f331(f331(f239(f935(x100941,a923)),x100942),f331(f331(f40(x100943,f935(x100941,a923)),x100944),x100945)))
% 204.30/204.31 [10095]~P107(f331(f331(f239(f935(x100951,a923)),x100952),f331(x100955,f848(x100955,x100952,x100951,x100954,x100953))))+P107(f331(f331(f239(f935(x100951,a923)),x100952),f331(f331(f40(x100953,f935(x100951,a923)),x100954),x100955)))
% 204.30/204.31 [10160]~P107(f331(f331(f333(x101601),f593(x101605,x101604,x101603,x101602,x101601)),f604(x101605,x101604,x101603,x101602,x101601)))+~P107(f331(f62(x101601,x101602,f331(f331(f313(x101601),x101603),x101604)),x101605))
% 204.30/204.31 [10161]~P107(f331(f331(f333(x101611),f615(x101615,x101614,x101613,x101612,x101611)),f628(x101615,x101614,x101613,x101612,x101611)))+~P107(f331(f62(x101611,x101612,f331(f331(f313(x101611),x101613),x101614)),x101615))
% 204.30/204.31 [10162]~P107(f331(f331(f333(f934(x101621,x101621)),f331(f331(f256(x101621,x101621),x101622),x101625)),f331(f331(f187(f934(x101621,x101621),a923),f331(a116,x101624)),x101623)))+P107(f331(f331(f333(f934(x101621,x101621)),f331(f331(f256(x101621,x101621),x101622),f637(x101623,x101624,x101625,x101622,x101621))),f331(f331(f187(f934(x101621,x101621),a923),x101624),x101623)))
% 204.30/204.31 [10168]P107(f331(f66(x101681,x101681,x101682,f593(x101683,x101684,x101685,x101682,x101681),f604(x101683,x101684,x101685,x101682,x101681)),x101683))+~P107(f331(f62(x101681,x101682,f331(f331(f313(x101681),x101685),x101684)),x101683))
% 204.30/204.31 [10169]P107(f331(f66(x101691,x101691,x101692,f615(x101693,x101694,x101695,x101692,x101691),f628(x101693,x101694,x101695,x101692,x101691)),x101693))+~P107(f331(f62(x101691,x101692,f331(f331(f313(x101691),x101695),x101694)),x101693))
% 204.30/204.31 [10181]~P109(x101811)+P12(x101811,f331(f331(f158(x101812,x101811),x101813),f331(f140(x101812,f331(f331(f7(x101812,x101811,a923),f331(f331(f8(x101811,f935(x101811,a923),x101812),a328),x101813)),f331(x101814,x101815))),x101815)))
% 204.30/204.31 [10220]~P107(f331(f331(f333(x102202),x102205),f331(f289(x102201,x102202,x102204),x102203)))+P107(f331(f331(f333(f934(x102201,x102202)),f331(f331(f256(x102201,x102202),f519(x102203,x102204,x102201,x102205,x102202)),x102205)),x102204))
% 204.30/204.31 [10221]~P107(f331(f331(f333(x102212),x102215),f331(f289(x102211,x102212,x102214),x102213)))+P107(f331(f331(f333(f934(x102211,x102212)),f331(f331(f256(x102211,x102212),f523(x102213,x102214,x102211,x102215,x102212)),x102215)),x102214))
% 204.30/204.31 [10241]~P107(f331(f331(f333(f934(x102411,x102411)),f331(f331(f256(x102411,x102411),x102415),x102414)),f331(f331(f187(f934(x102411,x102411),a923),f331(a116,x102413)),x102412)))+P107(f331(f331(f333(f934(x102411,x102411)),f331(f331(f256(x102411,x102411),f637(x102412,x102413,x102414,x102415,x102411)),x102414)),x102412))
% 204.30/204.31 [10244]~P107(f331(f331(f333(f934(x102441,x102441)),f331(f331(f256(x102441,x102441),x102445),x102444)),f331(f331(f187(f934(x102441,x102441),a923),f331(a116,x102443)),x102442)))+P107(f331(f331(f333(f934(x102441,x102441)),f331(f331(f256(x102441,x102441),f636(x102442,x102443,x102444,x102445,x102441)),x102444)),f331(f331(f187(f934(x102441,x102441),a923),x102443),x102442)))
% 204.30/204.31 [10245]~P107(f331(f331(f333(f934(x102451,x102451)),f331(f331(f256(x102451,x102451),x102455),x102454)),f331(f331(f187(f934(x102451,x102451),a923),f331(a116,x102453)),x102452)))+P107(f331(f331(f333(f934(x102451,x102451)),f331(f331(f256(x102451,x102451),f640(x102452,x102453,x102454,x102455,x102451)),x102454)),f331(f331(f187(f934(x102451,x102451),a923),x102453),x102452)))
% 204.30/204.31 [10246]~P107(f331(f331(f333(f934(f928(x102461),f928(x102461))),f331(f331(f256(f928(x102461),f928(x102461)),x102465),f331(f331(f155(x102461),x102464),x102463))),f162(x102461,x102462)))+P107(f331(f331(f333(f934(x102461,x102461)),f331(f331(f256(x102461,x102461),f660(x102462,x102463,x102464,x102465,x102461)),x102464)),x102462))
% 204.30/204.31 [7813]~E(x78133,f192(f935(x78132,a923)))+E(f331(f331(f114(f935(x78131,a923)),f331(f331(f39(x78132,f935(x78131,a923)),x78133),x78134)),x78135),x78135)
% 204.30/204.31 [7814]~E(x78143,f192(f935(x78142,a923)))+E(f331(f331(f105(f935(x78141,a923)),f331(f331(f40(x78142,f935(x78141,a923)),x78143),x78144)),x78145),x78145)
% 204.30/204.31 [8243]~E(x82433,f192(f935(x82432,a923)))+E(f331(f331(f23(f935(x82431,a923)),f331(f331(f40(x82432,f935(x82431,a923)),x82433),x82434)),x82435),f331(f331(f23(f935(x82431,a923)),f246(f935(x82431,a923))),x82435))
% 204.30/204.31 [8375]E(f331(f331(f163(x83751,f331(f331(f138(x83751),x83752),x83753)),x83754),x83755),f331(f331(f138(x83751),f331(f331(f163(x83751,x83752),x83754),x83755)),x83753))+~P107(f331(f331(f240(a927),x83754),f331(f193(f928(x83751)),x83752)))
% 204.30/204.31 [8647]E(f331(f331(f168(x86471),f331(f331(f158(a927,x86471),x86472),f143(a927,f331(f306(a927,x86473),x86474)))),x86475),f331(x86472,f331(f331(f80(a927),x86473),x86475)))+~P107(f331(f331(f240(a927),x86475),f331(f331(f23(a927),x86474),x86473)))
% 204.30/204.31 [8661]E(x86611,f2(a103))+E(f126(x86612,x86613,f331(x86614,f331(f331(f23(a103),x86611),f78(a103))),f331(f331(f7(x86612,a103,f929(f931(x86613))),x86615),x86611)),f331(f201(x86612,x86613,x86614,x86615),x86611))
% 204.30/204.31 [8686]~E(x86863,f192(f935(x86861,a923)))+E(f331(f331(f39(x86861,f935(x86862,a923)),x86863),f331(f331(f8(f935(x86862,a923),f935(x86862,a923),x86861),f331(f114(f935(x86862,a923)),x86864)),x86865)),f192(f935(x86862,a923)))
% 204.30/204.31 [8687]~E(x86873,f192(f935(x86871,a923)))+E(f331(f331(f40(x86871,f935(x86872,a923)),x86873),f331(f331(f8(f935(x86872,a923),f935(x86872,a923),x86871),f331(f23(f935(x86872,a923)),x86874)),x86875)),f246(f935(x86872,a923)))
% 204.30/204.31 [8688]~E(x86883,f192(f935(x86881,a923)))+E(f331(f331(f40(x86881,f935(x86882,a923)),x86883),f331(f331(f8(f935(x86882,a923),f935(x86882,a923),x86881),f331(f105(f935(x86882,a923)),x86884)),x86885)),f246(f935(x86882,a923)))
% 204.30/204.31 [8693]~P140(x86932)+E(f331(f331(f6(x86931,x86932),f331(f331(f8(x86932,x86932,x86931),f331(f81(x86932),x86933)),x86934)),x86935),f331(f331(f81(x86932),x86933),f331(f331(f6(x86931,x86932),x86934),x86935)))
% 204.30/204.31 [8990]E(x89901,f192(f935(x89902,a923)))+E(f331(f331(f39(x89902,f935(x89903,a923)),x89901),f331(f331(f8(f935(x89903,a923),f935(x89903,a923),x89902),f331(f114(f935(x89903,a923)),x89904)),x89905)),f331(f331(f114(f935(x89903,a923)),x89904),f331(f331(f39(x89902,f935(x89903,a923)),x89901),x89905)))
% 204.30/204.31 [8991]E(x89911,f192(f935(x89912,a923)))+E(f331(f331(f40(x89912,f935(x89913,a923)),x89911),f331(f331(f8(f935(x89913,a923),f935(x89913,a923),x89912),f331(f23(f935(x89913,a923)),x89914)),x89915)),f331(f331(f23(f935(x89913,a923)),x89914),f331(f331(f39(x89912,f935(x89913,a923)),x89911),x89915)))
% 204.30/204.31 [8992]E(x89921,f192(f935(x89922,a923)))+E(f331(f331(f40(x89922,f935(x89923,a923)),x89921),f331(f331(f8(f935(x89923,a923),f935(x89923,a923),x89922),f331(f105(f935(x89923,a923)),x89924)),x89925)),f331(f331(f105(f935(x89923,a923)),x89924),f331(f331(f40(x89922,f935(x89923,a923)),x89921),x89925)))
% 204.30/204.31 [9193]~P107(f331(f331(f240(a927),f331(x91934,x91932)),f331(x91934,x91933)))+P107(f331(f331(f333(f934(x91931,x91931)),f331(f331(f256(x91931,x91931),x91932),x91933)),f157(x91931,f331(f331(f155(f935(x91931,a927)),x91934),x91935))))
% 204.30/204.31 [9461]~P24(x94612,x94611,x94613,f331(f331(f114(f935(x94612,a923)),x94614),x94615))+E(f331(f331(f105(f935(x94611,a923)),f331(f314(x94612,x94611,x94613),f331(f331(f23(f935(x94612,a923)),x94614),x94615))),f331(f314(x94612,x94611,x94613),f331(f331(f23(f935(x94612,a923)),x94615),x94614))),f192(f935(x94611,a923)))
% 204.30/204.31 [9724]~P24(x97243,x97241,x97245,f246(f935(x97243,a923)))+E(f331(f73(x97241,x97242,x97243,f331(f73(x97243,x97242,x97241,x97244),f92(x97243,x97241,f246(f935(x97243,a923)),x97245))),x97245),x97244)
% 204.30/204.31 [9759]~P107(f331(f331(f239(f935(x97593,a923)),f331(f289(x97591,x97593,x97594),x97592)),x97595))+P107(f331(f331(f239(f935(x97591,a923)),x97592),f331(f79(f935(x97591,a923)),f331(f289(x97593,x97591,f331(f290(x97591,x97593),x97594)),f331(f79(f935(x97593,a923)),x97595)))))
% 204.30/204.31 [9784]~P24(x97841,x97842,x97843,f331(f331(f313(x97841),x97844),x97845))+~P107(f331(f331(f333(x97842),f331(x97843,x97844)),f331(f314(x97841,x97842,x97843),f331(f331(f23(f935(x97841,a923)),x97845),f331(f331(f313(x97841),x97844),f192(f935(x97841,a923)))))))
% 204.30/204.31 [9837]P107(f331(f331(f239(f935(x98371,a923)),f331(f289(x98372,x98371,x98373),x98374)),x98375))+~P107(f331(f331(f239(f935(x98372,a923)),x98374),f331(f79(f935(x98372,a923)),f331(f289(x98371,x98372,f331(f290(x98372,x98371),x98373)),f331(f79(f935(x98371,a923)),x98375)))))
% 204.30/204.31 [9910]~P88(x99101)+P107(f331(f331(f239(x99101),f331(f76(x99101),f331(f331(f23(x99101),f331(f331(f80(x99101),x99102),x99103)),f331(f331(f80(x99101),x99104),x99105)))),f331(f331(f80(x99101),f331(f76(x99101),f331(f331(f23(x99101),x99102),x99104))),f331(f76(x99101),f331(f331(f23(x99101),x99103),x99105)))))
% 204.30/204.31 [10018]P107(f331(f331(f333(x100181),f871(x100182,x100183,x100184,x100181,x100185)),x100184))+P107(f331(f331(f239(f935(x100185,a923)),f331(f331(f39(x100181,f935(x100185,a923)),x100184),x100183)),x100182))
% 204.30/204.31 [10199]~P107(f331(f331(f239(f935(x101991,a923)),f331(x101994,f871(x101995,x101994,x101993,x101992,x101991))),x101995))+P107(f331(f331(f239(f935(x101991,a923)),f331(f331(f39(x101992,f935(x101991,a923)),x101993),x101994)),x101995))
% 204.30/204.31 [8804]E(f331(f331(f138(x88041),x88042),f331(f331(f163(x88041,x88043),f331(f331(f23(a927),x88044),f331(f193(f928(x88041)),x88042))),x88045)),f331(f331(f163(x88041,f331(f331(f138(x88041),x88042),x88043)),x88044),x88045))+P107(f331(f331(f240(a927),x88044),f331(f193(f928(x88041)),x88042)))
% 204.30/204.31 [8832]~P141(x88321)+E(f331(f331(f80(x88321),f331(f331(f81(x88321),x88322),x88323)),f331(f331(f80(x88321),f331(f331(f81(x88321),x88324),x88323)),x88325)),f331(f331(f80(x88321),f331(f331(f81(x88321),f331(f331(f80(x88321),x88322),x88324)),x88323)),x88325))
% 204.30/204.31 [9416]~P140(x94161)+E(f331(f169(x94161),f331(f331(f158(x94162,x94161),f331(f331(f8(x94161,x94161,x94162),f331(f81(x94161),x94163)),x94164)),x94165)),f331(f331(f81(x94161),x94163),f331(f169(x94161),f331(f331(f158(x94162,x94161),x94164),x94165))))
% 204.30/204.31 [9594]E(f331(f193(f928(x95941)),f331(f331(f179(x95941),f331(f331(f237(a927),f331(f193(f928(x95941)),x95942)),f331(f193(f928(x95943)),x95944))),x95942)),f331(f193(f928(x95943)),f331(f331(f179(x95943),f331(f331(f237(a927),f331(f193(f928(x95941)),x95942)),f331(f193(f928(x95943)),x95944))),x95944)))+P107(f331(x95945,f331(f331(f185(x95941,x95943),x95942),x95944)))
% 204.30/204.31 [9847]~P140(x98472)+E(f331(f331(f6(x98471,x98472),f331(f331(f7(x98471,x98472,x98472),f331(f331(f8(x98472,f935(x98472,x98472),x98471),f81(x98472)),x98473)),x98474)),x98475),f331(f331(f81(x98472),f331(f331(f6(x98471,x98472),x98473),x98475)),x98474))
% 204.30/204.31 [9848]~P65(x98482)+E(f331(f331(f6(x98481,x98482),f331(f331(f7(x98481,x98482,x98482),f331(f331(f8(x98482,f935(x98482,x98482),x98481),f294(x98482)),x98483)),x98484)),x98485),f331(f331(f294(x98482),f331(f331(f6(x98481,x98482),x98483),x98485)),x98484))
% 204.30/204.31 [9855]~P68(x98552)+E(f331(f331(f6(x98551,x98552),f331(f331(f18(x98551,x98552,x98552),f331(f331(f8(x98552,f935(x98552,x98552),x98551),f23(x98552)),x98553)),x98554)),x98555),f331(f331(f23(x98552),f331(f331(f6(x98551,x98552),x98553),x98555)),f331(f331(f6(x98551,x98552),x98554),x98555)))
% 204.30/204.31 [9856]~P72(x98562)+E(f331(f331(f6(x98561,x98562),f331(f331(f18(x98561,x98562,x98562),f331(f331(f8(x98562,f935(x98562,x98562),x98561),f80(x98562)),x98563)),x98564)),x98565),f331(f331(f80(x98562),f331(f331(f6(x98561,x98562),x98563),x98565)),f331(f331(f6(x98561,x98562),x98564),x98565)))
% 204.30/204.31 [9857]~P71(x98572)+E(f331(f331(f9(x98571,x98572),f331(f331(f18(x98571,x98572,x98572),f331(f331(f8(x98572,f935(x98572,x98572),x98571),f81(x98572)),x98573)),x98574)),x98575),f331(f331(f81(x98572),f331(f331(f9(x98571,x98572),x98573),x98575)),f331(f331(f9(x98571,x98572),x98574),x98575)))
% 204.30/204.31 [9895]~E(x98953,f192(f935(x98951,a923)))+E(f331(f331(f39(x98951,f935(x98952,a923)),x98953),f331(f331(f7(x98951,f935(x98952,a923),f935(x98952,a923)),f331(f331(f8(f935(x98952,a923),f935(f935(x98952,a923),f935(x98952,a923)),x98951),f114(f935(x98952,a923))),x98954)),x98955)),f192(f935(x98952,a923)))
% 204.30/204.31 [9896]~E(x98963,f192(f935(x98961,a923)))+E(f331(f331(f40(x98961,f935(x98962,a923)),x98963),f331(f331(f7(x98961,f935(x98962,a923),f935(x98962,a923)),f331(f331(f8(f935(x98962,a923),f935(f935(x98962,a923),f935(x98962,a923)),x98961),f23(f935(x98962,a923))),x98964)),x98965)),f246(f935(x98962,a923)))
% 204.30/204.31 [9897]~E(x98973,f192(f935(x98971,a923)))+E(f331(f331(f40(x98971,f935(x98972,a923)),x98973),f331(f331(f7(x98971,f935(x98972,a923),f935(x98972,a923)),f331(f331(f8(f935(x98972,a923),f935(f935(x98972,a923),f935(x98972,a923)),x98971),f105(f935(x98972,a923))),x98974)),x98975)),f246(f935(x98972,a923)))
% 204.30/204.31 [9918]E(x99181,f192(f935(x99182,a923)))+E(f331(f331(f39(x99182,f935(x99183,a923)),x99181),f331(f331(f7(x99182,f935(x99183,a923),f935(x99183,a923)),f331(f331(f8(f935(x99183,a923),f935(f935(x99183,a923),f935(x99183,a923)),x99182),f114(f935(x99183,a923))),x99184)),x99185)),f331(f331(f114(f935(x99183,a923)),f331(f331(f39(x99182,f935(x99183,a923)),x99181),x99184)),x99185))
% 204.30/204.31 [9919]E(x99191,f192(f935(x99192,a923)))+E(f331(f331(f40(x99192,f935(x99193,a923)),x99191),f331(f331(f7(x99192,f935(x99193,a923),f935(x99193,a923)),f331(f331(f8(f935(x99193,a923),f935(f935(x99193,a923),f935(x99193,a923)),x99192),f23(f935(x99193,a923))),x99194)),x99195)),f331(f331(f23(f935(x99193,a923)),f331(f331(f40(x99192,f935(x99193,a923)),x99191),x99194)),x99195))
% 204.30/204.31 [9920]E(x99201,f192(f935(x99202,a923)))+E(f331(f331(f40(x99202,f935(x99203,a923)),x99201),f331(f331(f7(x99202,f935(x99203,a923),f935(x99203,a923)),f331(f331(f8(f935(x99203,a923),f935(f935(x99203,a923),f935(x99203,a923)),x99202),f105(f935(x99203,a923))),x99204)),x99205)),f331(f331(f105(f935(x99203,a923)),f331(f331(f40(x99202,f935(x99203,a923)),x99201),x99204)),x99205))
% 204.30/204.31 [9466]~P107(f331(f331(f239(a927),x94661),x94664))+E(f331(f331(f23(a927),f331(f331(f80(a927),f331(f331(f81(a927),x94661),x94662)),x94663)),f331(f331(f80(a927),f331(f331(f81(a927),x94664),x94662)),x94665)),f331(f331(f23(a927),x94663),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x94664),x94661)),x94662)),x94665)))
% 204.30/204.31 [10067]~P140(x100671)+E(f331(f169(x100671),f331(f331(f158(x100672,x100671),f331(f331(f7(x100672,x100671,x100671),f331(f331(f8(x100671,f935(x100671,x100671),x100672),f81(x100671)),x100673)),x100674)),x100675)),f331(f331(f81(x100671),f331(f169(x100671),f331(f331(f158(x100672,x100671),x100673),x100675))),x100674))
% 204.30/204.31 [10073]~P68(x100731)+E(f331(f169(x100731),f331(f331(f158(x100732,x100731),f331(f331(f18(x100732,x100731,x100731),f331(f331(f8(x100731,f935(x100731,x100731),x100732),f23(x100731)),x100733)),x100734)),x100735)),f331(f331(f23(x100731),f331(f169(x100731),f331(f331(f158(x100732,x100731),x100733),x100735))),f331(f169(x100731),f331(f331(f158(x100732,x100731),x100734),x100735))))
% 204.30/204.31 [10074]~P72(x100741)+E(f331(f169(x100741),f331(f331(f158(x100742,x100741),f331(f331(f18(x100742,x100741,x100741),f331(f331(f8(x100741,f935(x100741,x100741),x100742),f80(x100741)),x100743)),x100744)),x100745)),f331(f331(f80(x100741),f331(f169(x100741),f331(f331(f158(x100742,x100741),x100743),x100745))),f331(f169(x100741),f331(f331(f158(x100742,x100741),x100744),x100745))))
% 204.30/204.31 [10212]P107(f331(x102121,f331(f331(f185(x102122,x102123),x102124),x102125)))+~P107(f331(x102121,f331(f331(f185(x102122,x102123),f331(f331(f179(x102122),f331(f331(f237(a927),f331(f193(f928(x102122)),x102124)),f331(f193(f928(x102123)),x102125))),x102124)),f331(f331(f179(x102123),f331(f331(f237(a927),f331(f193(f928(x102122)),x102124)),f331(f193(f928(x102123)),x102125))),x102125))))
% 204.30/204.31 [10480]~P107(f331(f331(f333(f934(x104802,x104801)),f331(f331(f256(x104802,x104801),x104804),x104805)),f331(f290(x104801,x104802),x104803)))+P107(f331(f331(f247(x104801,x104802,f331(f331(f7(x104801,f935(f934(x104801,x104802),a923),f935(x104802,a923)),f331(f331(f8(f935(x104802,f935(f935(f934(x104801,x104802),a923),a923)),f935(f935(f934(x104801,x104802),a923),f935(x104802,a923)),x104801),f7(x104802,f935(f934(x104801,x104802),a923),a923)),f331(f331(f8(f935(x104802,f934(x104801,x104802)),f935(x104802,f935(f935(f934(x104801,x104802),a923),a923)),x104801),f331(f8(f934(x104801,x104802),f935(f935(f934(x104801,x104802),a923),a923),x104802),f333(f934(x104801,x104802)))),f256(x104801,x104802)))),x104803)),x104804),x104805))
% 204.30/204.31 [10490]P107(f331(f331(f333(f934(x104901,x104902)),f331(f331(f256(x104901,x104902),x104903),x104904)),f331(f290(x104902,x104901),x104905)))+~P107(f331(f331(f247(x104902,x104901,f331(f331(f7(x104902,f935(f934(x104902,x104901),a923),f935(x104901,a923)),f331(f331(f8(f935(x104901,f935(f935(f934(x104902,x104901),a923),a923)),f935(f935(f934(x104902,x104901),a923),f935(x104901,a923)),x104902),f7(x104901,f935(f934(x104902,x104901),a923),a923)),f331(f331(f8(f935(x104901,f934(x104902,x104901)),f935(x104901,f935(f935(f934(x104902,x104901),a923),a923)),x104902),f331(f8(f934(x104902,x104901),f935(f935(f934(x104902,x104901),a923),a923),x104901),f333(f934(x104902,x104901)))),f256(x104902,x104901)))),x104905)),x104903),x104904))
% 204.30/204.31 [9723]~P107(f331(f331(f239(a927),x97234),x97231))+E(f331(f331(f23(a927),f331(f331(f80(a927),f331(f331(f81(a927),x97231),x97232)),x97233)),f331(f331(f80(a927),f331(f331(f81(a927),x97234),x97232)),x97235)),f331(f331(f23(a927),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x97231),x97234)),x97232)),x97233)),x97235))
% 204.30/204.31 [5501]E(x55011,x55012)+~E(f27(x55013,x55014,x55011),f27(x55015,x55016,x55012))
% 204.30/204.31 [5502]E(x55021,x55022)+~E(f27(x55023,x55021,x55024),f27(x55025,x55022,x55026))
% 204.30/204.31 [5503]E(x55031,x55032)+~E(f27(x55031,x55033,x55034),f27(x55032,x55035,x55036))
% 204.30/204.31 [5504]E(x55041,x55042)+~E(f26(x55043,x55044,x55041),f26(x55045,x55046,x55042))
% 204.30/204.31 [5505]E(x55051,x55052)+~E(f26(x55053,x55051,x55054),f26(x55055,x55052,x55056))
% 204.30/204.31 [5506]E(x55061,x55062)+~E(f26(x55061,x55063,x55064),f26(x55062,x55065,x55066))
% 204.30/204.31 [7510]E(x75101,x75102)+~E(f225(x75103,x75104,x75105,x75101),f225(x75103,x75104,x75106,x75102))
% 204.30/204.31 [7511]E(x75111,x75112)+~E(f225(x75113,x75114,x75111,x75115),f225(x75113,x75114,x75112,x75116))
% 204.30/204.31 [8630]~P18(x86305,x86301,x86302,x86306)+E(f331(f73(x86301,x86301,x86301,f331(x86302,x86303)),f331(x86302,x86304)),f331(f73(x86301,x86301,x86301,f331(x86302,x86304)),f331(x86302,x86303)))
% 204.30/204.31 [8876]~P57(x88764,x88765,x88762,x88761,x88766)+E(f331(x88761,f331(x88762,x88763)),x88763)
% 204.30/204.31 [9043]P24(x90431,x90432,x90433,x90434)+~P24(x90431,x90435,f331(f73(x90432,x90435,x90431,x90436),x90433),x90434)
% 204.30/204.31 [9116]~E(x91166,x91164)+E(f331(f75(x91161,x91162,x91163,x91164,x91165),x91166),x91165)
% 204.30/204.31 [9122]E(x91221,x91222)+E(f331(f75(x91223,x91224,x91225,x91222,x91226),x91221),f331(x91225,x91221))
% 204.30/204.31 [9134]~P24(x91344,x91342,f331(f73(x91341,x91342,x91344,x91343),x91345),x91346)+P24(x91341,x91342,x91343,f331(f314(x91344,x91341,x91345),x91346))
% 204.30/204.31 [9858]P107(f331(f61(x98581),x98582))+~P107(f331(f66(x98581,x98583,x98584,x98585,x98582),x98586))
% 204.30/204.31 [9867]~P107(f331(f331(f333(x98674),x98673),f304(x98674,x98675,x98671,x98672,x98676)))+P107(f331(f331(x98671,x98672),x98673))
% 204.30/204.31 [9868]~P107(f331(f331(f333(x98684),x98683),f301(x98684,x98681,x98685,x98682,x98686)))+P107(f331(f331(x98681,x98682),x98683))
% 204.30/204.31 [9869]~P107(f331(f331(f333(x98694),x98692),f304(x98694,x98691,x98695,x98696,x98693)))+P107(f331(f331(x98691,x98692),x98693))
% 204.30/204.31 [9870]~P107(f331(f331(f333(x98704),x98702),f301(x98704,x98705,x98701,x98706,x98703)))+P107(f331(f331(x98701,x98702),x98703))
% 204.30/204.31 [10362]P11(x103621,x103622,x103623,x103624,x103625,x103626)+~E(f331(f331(x103626,f863(x103623,x103626,x103625,x103622,x103624,x103621)),f865(x103623,x103626,x103625,x103622,x103624,x103621)),f331(f331(x103626,f864(x103623,x103626,x103625,x103622,x103624,x103621)),f866(x103623,x103626,x103625,x103622,x103624,x103621)))
% 204.30/204.31 [6009]E(x60091,x60092)+~E(f331(f331(f256(x60093,x60094),x60095),x60091),f331(f331(f256(x60093,x60094),x60096),x60092))
% 204.30/204.31 [6011]E(x60111,x60112)+~E(f331(f331(f256(x60113,x60114),x60111),x60115),f331(f331(f256(x60113,x60114),x60112),x60116))
% 204.30/204.31 [6143]~P15(x61435,x61436,x61431)+E(f331(f331(x61431,x61432),f331(f331(x61431,x61433),x61434)),f331(f331(x61431,x61433),f331(f331(x61431,x61432),x61434)))
% 204.30/204.31 [7573]~P33(x75734,x75731,f331(f331(f155(x75734),x75732),x75735),f331(f331(f155(x75734),x75733),x75736))+P107(f331(f331(x75731,x75732),x75733))
% 204.30/204.31 [7929]P33(x79291,x79292,x79293,x79294)+~P33(x79291,x79292,f331(f331(f155(x79291),x79295),x79293),f331(f331(f155(x79291),x79296),x79294))
% 204.30/204.31 [8980]~P57(x89805,x89801,x89802,x89806,x89804)+P107(f331(f331(f333(x89801),f331(x89802,x89803)),x89804))
% 204.30/204.31 [9184]~E(x91843,f331(f331(f155(x91841),x91845),x91846))+P107(f331(f331(f333(f934(f928(x91841),f928(x91841))),f331(f331(f256(f928(x91841),f928(x91841)),x91842),f331(f331(f138(x91841),x91842),x91843))),f151(x91841,x91844)))
% 204.30/204.31 [9422]~P35(x94221,x94222,x94223,x94225,x94226)+P35(x94221,x94222,x94223,f331(f331(f179(x94221),x94224),x94225),f331(f331(f179(x94222),x94224),x94226))
% 204.30/204.31 [9423]~P35(x94231,x94232,x94233,x94235,x94236)+P35(x94231,x94232,x94233,f331(f331(f142(x94231),x94234),x94235),f331(f331(f142(x94232),x94234),x94236))
% 204.30/204.31 [9685]E(f331(f314(x96851,x96852,f75(x96851,x96852,x96853,x96854,x96855)),x96856),f331(f314(x96851,x96852,x96853),x96856))+P107(f331(f331(f333(x96851),x96854),x96856))
% 204.30/204.31 [9688]E(f331(f331(f158(x96881,x96882),f75(x96881,x96882,x96883,x96884,x96885)),x96886),f331(f331(f158(x96881,x96882),x96883),x96886))+P107(f331(f331(f333(x96881),x96884),f331(f176(x96881),x96886)))
% 204.30/204.31 [9930]~P22(x99304,x99302,x99305,x99303,x99306,x99301)+E(f331(x99301,f192(f935(x99302,a923))),x99303)
% 204.30/204.31 [10163]~E(f331(x101634,f331(f255(x101631,x101633),x101635)),f331(x101636,f331(f255(x101631,x101633),x101635)))+E(f331(f262(x101631,x101632,x101633,x101633,x101634,f32(x101633)),x101635),f331(f262(x101631,x101632,x101633,x101633,x101636,f32(x101633)),x101635))
% 204.30/204.31 [10164]~E(f331(x101644,f331(f260(x101641,x101642),x101645)),f331(x101646,f331(f260(x101641,x101642),x101645)))+E(f331(f262(x101641,x101641,x101642,x101643,f32(x101641),x101644),x101645),f331(f262(x101641,x101641,x101642,x101643,f32(x101641),x101646),x101645))
% 204.30/204.31 [10208]~E(f331(f262(x102082,x102086,x102083,x102083,x102081,f32(x102083)),x102084),f331(f262(x102082,x102086,x102083,x102083,x102085,f32(x102083)),x102084))+E(f331(x102081,f331(f255(x102082,x102083),x102084)),f331(x102085,f331(f255(x102082,x102083),x102084)))
% 204.30/204.31 [10209]~E(f331(f262(x102092,x102092,x102093,x102096,f32(x102092),x102091),x102094),f331(f262(x102092,x102092,x102093,x102096,f32(x102092),x102095),x102094))+E(f331(x102091,f331(f260(x102092,x102093),x102094)),f331(x102095,f331(f260(x102092,x102093),x102094)))
% 204.30/204.31 [9083]P107(f331(f331(f333(x90831),x90832),x90833))+~P107(f331(f331(f333(f934(x90831,x90834)),f331(f331(f256(x90831,x90834),x90832),x90835)),f331(f331(f258(x90831,x90834),x90833),x90836)))
% 204.30/204.31 [9099]P107(f331(f331(f333(x90991),x90992),f331(x90993,x90994)))+~P107(f331(f331(f333(f934(x90995,x90991)),f331(f331(f256(x90995,x90991),x90994),x90992)),f331(f331(f258(x90995,x90991),x90996),x90993)))
% 204.30/204.31 [9542]P107(f331(f331(f333(f934(x95421,x95421)),f331(f331(f256(x95421,x95421),f331(x95422,x95423)),f331(x95422,x95424))),x95425))+~P107(f331(f331(f333(f934(x95426,x95426)),f331(f331(f256(x95426,x95426),x95423),x95424)),f331(f331(f292(x95421,x95426),x95425),x95422)))
% 204.30/204.31 [9562]~P107(f331(f331(f333(f934(x95624,x95624)),f331(f331(f256(x95624,x95624),f331(x95626,x95622)),f331(x95626,x95623))),x95625))+P107(f331(f331(f333(f934(x95621,x95621)),f331(f331(f256(x95621,x95621),x95622),x95623)),f331(f331(f292(x95624,x95621),x95625),x95626)))
% 204.30/204.31 [10211]E(f331(f331(f256(x102111,x102112),f652(x102113,x102114,x102115,x102116,x102112,x102111)),f653(x102113,x102114,x102115,x102116,x102112,x102111)),x102116)+~P107(f331(f331(f333(f934(x102111,x102112)),x102116),f331(f331(f293(x102111,x102115,x102112),x102114),x102113)))
% 204.30/204.31 [10434]~P107(f331(f331(f333(f934(x104341,x104346)),x104345),f331(f331(f293(x104341,x104342,x104346),x104344),x104343)))+P107(f331(f331(f333(f934(x104341,x104342)),f331(f331(f256(x104341,x104342),f652(x104343,x104344,x104342,x104345,x104346,x104341)),f654(x104343,x104344,x104342,x104345,x104346,x104341))),x104344))
% 204.30/204.31 [10435]~P107(f331(f331(f333(f934(x104356,x104352)),x104355),f331(f331(f293(x104356,x104351,x104352),x104354),x104353)))+P107(f331(f331(f333(f934(x104351,x104352)),f331(f331(f256(x104351,x104352),f654(x104353,x104354,x104351,x104355,x104352,x104356)),f653(x104353,x104354,x104351,x104355,x104352,x104356))),x104353))
% 204.30/204.31 [10436]P11(x104361,x104362,x104363,x104364,x104365,x104366)+P107(f331(f331(f333(f934(x104362,x104362)),f331(f331(f256(x104362,x104362),f866(x104363,x104366,x104365,x104362,x104364,x104361)),f865(x104363,x104366,x104365,x104362,x104364,x104361))),x104365))
% 204.30/204.31 [10437]P11(x104371,x104372,x104373,x104374,x104375,x104376)+P107(f331(f331(f333(f934(x104371,x104371)),f331(f331(f256(x104371,x104371),f864(x104373,x104376,x104375,x104372,x104374,x104371)),f863(x104373,x104376,x104375,x104372,x104374,x104371))),x104374))
% 204.30/204.31 [8000]~P4(x80002)+E(f331(f331(f39(x80001,x80002),x80003),f331(f331(f7(x80001,x80004,x80002),x80005),x80006)),f331(f331(f331(f39(x80001,f935(x80004,x80002)),x80003),x80005),x80006))
% 204.30/204.31 [8001]~P4(x80012)+E(f331(f331(f40(x80011,x80012),x80013),f331(f331(f7(x80011,x80014,x80012),x80015),x80016)),f331(f331(f331(f40(x80011,f935(x80014,x80012)),x80013),x80015),x80016))
% 204.30/204.31 [8786]E(f331(f331(f39(x87861,f935(x87862,a923)),x87863),f331(f331(f8(f935(x87862,a923),f935(x87862,a923),x87861),f331(f313(x87862),x87864)),x87865)),f331(f331(f313(x87862),x87864),f331(f331(f39(x87861,f935(x87862,a923)),x87863),x87865)))+~P107(f331(f331(f333(x87861),x87866),x87863))
% 204.30/204.31 [9238]~P4(x92382)+E(f331(f331(f39(x92381,x92382),x92383),f331(f331(f8(f935(x92384,x92382),x92382,x92381),f331(f39(x92384,x92382),x92385)),f331(f7(x92384,x92381,x92382),x92386))),f331(f331(f39(x92384,x92382),x92385),f331(f331(f8(f935(x92381,x92382),x92382,x92384),f331(f39(x92381,x92382),x92383)),x92386)))
% 204.30/204.31 [9239]~P4(x92392)+E(f331(f331(f40(x92391,x92392),x92393),f331(f331(f8(f935(x92394,x92392),x92392,x92391),f331(f40(x92394,x92392),x92395)),f331(f7(x92394,x92391,x92392),x92396))),f331(f331(f40(x92394,x92392),x92395),f331(f331(f8(f935(x92391,x92392),x92392,x92394),f331(f40(x92391,x92392),x92393)),x92396)))
% 204.30/204.31 [9448]P107(f331(f331(f333(x94481),x94482),f331(f176(x94481),x94483)))+~P107(f331(f331(f333(f934(x94484,x94481)),f331(f331(f256(x94484,x94481),x94485),x94482)),f331(f176(f934(x94484,x94481)),f331(f331(f185(x94484,x94481),x94486),x94483))))
% 204.30/204.31 [9449]P107(f331(f331(f333(x94491),x94492),f331(f176(x94491),x94493)))+~P107(f331(f331(f333(f934(x94491,x94494)),f331(f331(f256(x94491,x94494),x94492),x94495)),f331(f176(f934(x94491,x94494)),f331(f331(f185(x94491,x94494),x94493),x94496))))
% 204.30/204.31 [9558]P107(f331(f331(f239(f935(x95581,a923)),f331(f289(x95582,x95581,x95583),x95584)),x95585))+~P107(f331(f331(f239(f935(f934(x95582,x95581),a923)),x95583),f331(f331(f258(x95582,x95581),x95586),f331(f16(f935(x95581,a923),x95582),x95585))))
% 204.30/204.31 [9563]~P25(x95634,x95632,x95635,f246(f935(x95634,a923)),f246(f935(x95632,a923)))+E(f331(f331(f40(x95631,f935(x95632,a923)),x95633),f331(f331(f8(f935(x95634,a923),f935(x95632,a923),x95631),f314(x95634,x95632,x95635)),x95636)),f331(f314(x95634,x95632,x95635),f331(f331(f40(x95631,f935(x95634,a923)),x95633),x95636)))
% 204.30/204.31 [9762]P107(f331(f331(f333(f934(f928(x97621),f928(x97621))),f331(f331(f256(f928(x97621),f928(x97621)),f331(f331(f155(x97621),x97622),x97623)),f331(f331(f155(x97621),x97624),x97625))),f151(x97621,x97626)))+~P107(f331(f331(f333(f934(x97621,x97621)),f331(f331(f256(x97621,x97621),x97622),x97624)),x97626))
% 204.30/204.31 [10207]E(f331(f331(f256(x102071,x102072),f594(x102073,x102074,x102075,x102072,x102071,x102076)),f595(x102073,x102074,x102075,x102072,x102071,x102076)),x102076)+P107(f331(f331(f333(x102075),x102074),f331(f331(f261(x102071,x102072,f935(x102075,a923)),x102073),x102076)))
% 204.30/204.31 [10213]E(f331(f331(f256(x102131,x102132),f596(x102133,x102134,x102132,x102131,x102135,x102136)),f597(x102133,x102134,x102132,x102131,x102135,x102136)),x102133)+~P107(f331(f331(f333(x102136),x102135),f331(f331(f261(x102131,x102132,f935(x102136,a923)),x102134),x102133)))
% 204.30/204.31 [10377]P107(f331(f331(f333(x103771),x103772),f331(f331(x103773,f596(x103774,x103773,x103775,x103776,x103772,x103771)),f597(x103774,x103773,x103775,x103776,x103772,x103771))))+~P107(f331(f331(f333(x103771),x103772),f331(f331(f261(x103776,x103775,f935(x103771,a923)),x103773),x103774)))
% 204.30/204.31 [10407]~P107(f331(f331(f333(x104071),x104072),f331(f331(x104075,f594(x104075,x104072,x104071,x104074,x104073,x104076)),f595(x104075,x104072,x104071,x104074,x104073,x104076))))+P107(f331(f331(f333(x104071),x104072),f331(f331(f261(x104073,x104074,f935(x104071,a923)),x104075),x104076)))
% 204.30/204.31 [8678]E(x86781,x86782)+E(f331(f331(f163(x86783,f331(f331(f163(x86783,x86784),x86781),x86785)),x86782),x86786),f331(f331(f163(x86783,f331(f331(f163(x86783,x86784),x86782),x86786)),x86781),x86785))
% 204.30/204.31 [9822]~P107(f331(f331(f333(x98223),x98226),x98225))+E(f331(f331(f313(x98221),x98222),f331(f314(x98223,x98221,x98224),f331(f331(f23(f935(x98223,a923)),x98225),f331(f331(f313(x98223),x98226),f192(f935(x98223,a923)))))),f331(f314(x98223,x98221,f75(x98223,x98221,x98224,x98226,x98222)),x98225))
% 204.30/204.31 [9319]~P107(f331(f331(x93194,x93195),x93196))+P107(f331(f331(f331(f331(f114(f935(x93191,f935(x93192,a923))),x93193),x93194),x93195),x93196))
% 204.30/204.31 [9321]~P107(f331(f331(x93213,x93215),x93216))+P107(f331(f331(f331(f331(f114(f935(x93211,f935(x93212,a923))),x93213),x93214),x93215),x93216))
% 204.30/204.31 [9615]P107(f331(f331(x96151,x96152),x96153))+~P107(f331(f331(f331(f331(f105(f935(x96154,f935(x96155,a923))),x96156),x96151),x96152),x96153))
% 204.30/204.31 [9616]P107(f331(f331(x96161,x96162),x96163))+~P107(f331(f331(f331(f331(f105(f935(x96164,f935(x96165,a923))),x96161),x96166),x96162),x96163))
% 204.30/204.31 [10055]~P72(x100552)+E(f331(f331(f6(x100551,x100552),f331(f331(f7(x100551,f935(x100553,a923),x100552),f331(f331(f8(f935(x100553,x100552),f935(f935(x100553,a923),x100552),x100551),f6(x100553,x100552)),x100554)),x100555)),x100556),f331(f331(f6(f934(x100551,x100553),x100552),f331(f261(x100551,x100553,x100552),x100554)),f331(f331(f258(x100551,x100553),x100556),f331(f16(f935(x100553,a923),x100551),x100555))))
% 204.30/204.31 [10056]~P71(x100562)+E(f331(f331(f9(x100561,x100562),f331(f331(f7(x100561,f935(x100563,a923),x100562),f331(f331(f8(f935(x100563,x100562),f935(f935(x100563,a923),x100562),x100561),f9(x100563,x100562)),x100564)),x100565)),x100566),f331(f331(f9(f934(x100561,x100563),x100562),f331(f261(x100561,x100563,x100562),x100564)),f331(f331(f258(x100561,x100563),x100566),f331(f16(f935(x100563,a923),x100561),x100565))))
% 204.30/204.31 [10190]~P72(x101902)+E(f331(f331(f6(x101901,x101902),f331(f331(f7(x101901,f935(x101903,a923),x101902),f331(f331(f8(f935(x101903,x101902),f935(f935(x101903,a923),x101902),x101901),f6(x101903,x101902)),f331(f7(x101903,x101901,x101902),x101904))),x101905)),x101906),f331(f331(f6(x101903,x101902),f331(f331(f7(x101903,f935(x101901,a923),x101902),f331(f331(f8(f935(x101901,x101902),f935(f935(x101901,a923),x101902),x101903),f6(x101901,x101902)),x101904)),x101906)),x101905))
% 204.30/204.31 [10502]~P107(f331(f331(f333(f934(x105021,x105022)),f331(f331(f256(x105021,x105022),x105025),x105026)),f331(f331(f114(f935(f934(x105021,x105022),a923)),x105023),x105024)))+P107(f331(f331(f331(f331(f114(f935(x105021,f935(x105022,a923))),f331(f331(f7(x105021,f935(f934(x105021,x105022),a923),f935(x105022,a923)),f331(f331(f8(f935(x105022,f935(f935(f934(x105021,x105022),a923),a923)),f935(f935(f934(x105021,x105022),a923),f935(x105022,a923)),x105021),f7(x105022,f935(f934(x105021,x105022),a923),a923)),f331(f331(f8(f935(x105022,f934(x105021,x105022)),f935(x105022,f935(f935(f934(x105021,x105022),a923),a923)),x105021),f331(f8(f934(x105021,x105022),f935(f935(f934(x105021,x105022),a923),a923),x105022),f333(f934(x105021,x105022)))),f256(x105021,x105022)))),x105023)),f331(f331(f7(x105021,f935(f934(x105021,x105022),a923),f935(x105022,a923)),f331(f331(f8(f935(x105022,f935(f935(f934(x105021,x105022),a923),a923)),f935(f935(f934(x105021,x105022),a923),f935(x105022,a923)),x105021),f7(x105022,f935(f934(x105021,x105022),a923),a923)),f331(f331(f8(f935(x105022,f934(x105021,x105022)),f935(x105022,f935(f935(f934(x105021,x105022),a923),a923)),x105021),f331(f8(f934(x105021,x105022),f935(f935(f934(x105021,x105022),a923),a923),x105022),f333(f934(x105021,x105022)))),f256(x105021,x105022)))),x105024)),x105025),x105026))
% 204.30/204.31 [10503]~P107(f331(f331(f333(f934(x105031,x105032)),f331(f331(f256(x105031,x105032),x105035),x105036)),f331(f331(f105(f935(f934(x105031,x105032),a923)),x105033),x105034)))+P107(f331(f331(f331(f331(f105(f935(x105031,f935(x105032,a923))),f331(f331(f7(x105031,f935(f934(x105031,x105032),a923),f935(x105032,a923)),f331(f331(f8(f935(x105032,f935(f935(f934(x105031,x105032),a923),a923)),f935(f935(f934(x105031,x105032),a923),f935(x105032,a923)),x105031),f7(x105032,f935(f934(x105031,x105032),a923),a923)),f331(f331(f8(f935(x105032,f934(x105031,x105032)),f935(x105032,f935(f935(f934(x105031,x105032),a923),a923)),x105031),f331(f8(f934(x105031,x105032),f935(f935(f934(x105031,x105032),a923),a923),x105032),f333(f934(x105031,x105032)))),f256(x105031,x105032)))),x105033)),f331(f331(f7(x105031,f935(f934(x105031,x105032),a923),f935(x105032,a923)),f331(f331(f8(f935(x105032,f935(f935(f934(x105031,x105032),a923),a923)),f935(f935(f934(x105031,x105032),a923),f935(x105032,a923)),x105031),f7(x105032,f935(f934(x105031,x105032),a923),a923)),f331(f331(f8(f935(x105032,f934(x105031,x105032)),f935(x105032,f935(f935(f934(x105031,x105032),a923),a923)),x105031),f331(f8(f934(x105031,x105032),f935(f935(f934(x105031,x105032),a923),a923),x105032),f333(f934(x105031,x105032)))),f256(x105031,x105032)))),x105034)),x105035),x105036))
% 204.30/204.31 [10512]P107(f331(f331(f333(f934(x105121,x105122)),f331(f331(f256(x105121,x105122),x105123),x105124)),f331(f331(f114(f935(f934(x105121,x105122),a923)),x105125),x105126)))+~P107(f331(f331(f331(f331(f114(f935(x105121,f935(x105122,a923))),f331(f331(f7(x105121,f935(f934(x105121,x105122),a923),f935(x105122,a923)),f331(f331(f8(f935(x105122,f935(f935(f934(x105121,x105122),a923),a923)),f935(f935(f934(x105121,x105122),a923),f935(x105122,a923)),x105121),f7(x105122,f935(f934(x105121,x105122),a923),a923)),f331(f331(f8(f935(x105122,f934(x105121,x105122)),f935(x105122,f935(f935(f934(x105121,x105122),a923),a923)),x105121),f331(f8(f934(x105121,x105122),f935(f935(f934(x105121,x105122),a923),a923),x105122),f333(f934(x105121,x105122)))),f256(x105121,x105122)))),x105125)),f331(f331(f7(x105121,f935(f934(x105121,x105122),a923),f935(x105122,a923)),f331(f331(f8(f935(x105122,f935(f935(f934(x105121,x105122),a923),a923)),f935(f935(f934(x105121,x105122),a923),f935(x105122,a923)),x105121),f7(x105122,f935(f934(x105121,x105122),a923),a923)),f331(f331(f8(f935(x105122,f934(x105121,x105122)),f935(x105122,f935(f935(f934(x105121,x105122),a923),a923)),x105121),f331(f8(f934(x105121,x105122),f935(f935(f934(x105121,x105122),a923),a923),x105122),f333(f934(x105121,x105122)))),f256(x105121,x105122)))),x105126)),x105123),x105124))
% 204.30/204.31 [10513]P107(f331(f331(f333(f934(x105131,x105132)),f331(f331(f256(x105131,x105132),x105133),x105134)),f331(f331(f105(f935(f934(x105131,x105132),a923)),x105135),x105136)))+~P107(f331(f331(f331(f331(f105(f935(x105131,f935(x105132,a923))),f331(f331(f7(x105131,f935(f934(x105131,x105132),a923),f935(x105132,a923)),f331(f331(f8(f935(x105132,f935(f935(f934(x105131,x105132),a923),a923)),f935(f935(f934(x105131,x105132),a923),f935(x105132,a923)),x105131),f7(x105132,f935(f934(x105131,x105132),a923),a923)),f331(f331(f8(f935(x105132,f934(x105131,x105132)),f935(x105132,f935(f935(f934(x105131,x105132),a923),a923)),x105131),f331(f8(f934(x105131,x105132),f935(f935(f934(x105131,x105132),a923),a923),x105132),f333(f934(x105131,x105132)))),f256(x105131,x105132)))),x105135)),f331(f331(f7(x105131,f935(f934(x105131,x105132),a923),f935(x105132,a923)),f331(f331(f8(f935(x105132,f935(f935(f934(x105131,x105132),a923),a923)),f935(f935(f934(x105131,x105132),a923),f935(x105132,a923)),x105131),f7(x105132,f935(f934(x105131,x105132),a923),a923)),f331(f331(f8(f935(x105132,f934(x105131,x105132)),f935(x105132,f935(f935(f934(x105131,x105132),a923),a923)),x105131),f331(f8(f934(x105131,x105132),f935(f935(f934(x105131,x105132),a923),a923),x105132),f333(f934(x105131,x105132)))),f256(x105131,x105132)))),x105136)),x105133),x105134))
% 204.30/204.31 [10496]~P107(f331(f331(f333(f934(x104962,x104963)),f331(f331(f256(x104962,x104963),x104965),x104966)),f331(f331(f39(x104961,f935(f934(x104962,x104963),a923)),f246(f935(x104961,a923))),x104964)))+P107(f331(f331(f331(f331(f39(x104961,f935(x104962,f935(x104963,a923))),f246(f935(x104961,a923))),f331(f331(f8(f935(f934(x104962,x104963),a923),f935(x104962,f935(x104963,a923)),x104961),f331(f7(x104962,f935(f934(x104962,x104963),a923),f935(x104963,a923)),f331(f331(f8(f935(x104963,f935(f935(f934(x104962,x104963),a923),a923)),f935(f935(f934(x104962,x104963),a923),f935(x104963,a923)),x104962),f7(x104963,f935(f934(x104962,x104963),a923),a923)),f331(f331(f8(f935(x104963,f934(x104962,x104963)),f935(x104963,f935(f935(f934(x104962,x104963),a923),a923)),x104962),f331(f8(f934(x104962,x104963),f935(f935(f934(x104962,x104963),a923),a923),x104963),f333(f934(x104962,x104963)))),f256(x104962,x104963))))),x104964)),x104965),x104966))
% 204.30/204.31 [10497]~P107(f331(f331(f333(f934(x104972,x104973)),f331(f331(f256(x104972,x104973),x104975),x104976)),f331(f331(f40(x104971,f935(f934(x104972,x104973),a923)),f246(f935(x104971,a923))),x104974)))+P107(f331(f331(f331(f331(f40(x104971,f935(x104972,f935(x104973,a923))),f246(f935(x104971,a923))),f331(f331(f8(f935(f934(x104972,x104973),a923),f935(x104972,f935(x104973,a923)),x104971),f331(f7(x104972,f935(f934(x104972,x104973),a923),f935(x104973,a923)),f331(f331(f8(f935(x104973,f935(f935(f934(x104972,x104973),a923),a923)),f935(f935(f934(x104972,x104973),a923),f935(x104973,a923)),x104972),f7(x104973,f935(f934(x104972,x104973),a923),a923)),f331(f331(f8(f935(x104973,f934(x104972,x104973)),f935(x104973,f935(f935(f934(x104972,x104973),a923),a923)),x104972),f331(f8(f934(x104972,x104973),f935(f935(f934(x104972,x104973),a923),a923),x104973),f333(f934(x104972,x104973)))),f256(x104972,x104973))))),x104974)),x104975),x104976))
% 204.30/204.31 [10506]P107(f331(f331(f333(f934(x105061,x105062)),f331(f331(f256(x105061,x105062),x105063),x105064)),f331(f331(f39(x105065,f935(f934(x105061,x105062),a923)),f246(f935(x105065,a923))),x105066)))+~P107(f331(f331(f331(f331(f39(x105065,f935(x105061,f935(x105062,a923))),f246(f935(x105065,a923))),f331(f331(f8(f935(f934(x105061,x105062),a923),f935(x105061,f935(x105062,a923)),x105065),f331(f7(x105061,f935(f934(x105061,x105062),a923),f935(x105062,a923)),f331(f331(f8(f935(x105062,f935(f935(f934(x105061,x105062),a923),a923)),f935(f935(f934(x105061,x105062),a923),f935(x105062,a923)),x105061),f7(x105062,f935(f934(x105061,x105062),a923),a923)),f331(f331(f8(f935(x105062,f934(x105061,x105062)),f935(x105062,f935(f935(f934(x105061,x105062),a923),a923)),x105061),f331(f8(f934(x105061,x105062),f935(f935(f934(x105061,x105062),a923),a923),x105062),f333(f934(x105061,x105062)))),f256(x105061,x105062))))),x105066)),x105063),x105064))
% 204.30/204.31 [10507]P107(f331(f331(f333(f934(x105071,x105072)),f331(f331(f256(x105071,x105072),x105073),x105074)),f331(f331(f40(x105075,f935(f934(x105071,x105072),a923)),f246(f935(x105075,a923))),x105076)))+~P107(f331(f331(f331(f331(f40(x105075,f935(x105071,f935(x105072,a923))),f246(f935(x105075,a923))),f331(f331(f8(f935(f934(x105071,x105072),a923),f935(x105071,f935(x105072,a923)),x105075),f331(f7(x105071,f935(f934(x105071,x105072),a923),f935(x105072,a923)),f331(f331(f8(f935(x105072,f935(f935(f934(x105071,x105072),a923),a923)),f935(f935(f934(x105071,x105072),a923),f935(x105072,a923)),x105071),f7(x105072,f935(f934(x105071,x105072),a923),a923)),f331(f331(f8(f935(x105072,f934(x105071,x105072)),f935(x105072,f935(f935(f934(x105071,x105072),a923),a923)),x105071),f331(f8(f934(x105071,x105072),f935(f935(f934(x105071,x105072),a923),a923),x105072),f333(f934(x105071,x105072)))),f256(x105071,x105072))))),x105076)),x105073),x105074))
% 204.30/204.31 [7679]E(f331(x76791,f331(x76792,x76793)),f331(x76794,x76793))+~E(f331(f73(x76795,x76796,x76797,x76791),x76792),x76794)
% 204.30/204.31 [9838]E(x98381,x98382)+E(f75(x98383,x98384,f75(x98383,x98384,x98385,x98381,x98386),x98382,x98387),f75(x98383,x98384,f75(x98383,x98384,x98385,x98382,x98387),x98381,x98386))
% 204.30/204.31 [9929]~P21(x99293,x99294,x99291,x99295,x99296,x99297)+E(f331(f331(x99291,x99292),x99292),x99292)
% 204.30/204.31 [6247]~E(f331(f331(f158(x62471,x62475),x62476),x62472),f331(f331(f158(x62473,x62475),x62477),x62474))+E(f331(f193(f928(x62471)),x62472),f331(f193(f928(x62473)),x62474))
% 204.30/204.31 [8715]E(f331(x87151,f331(x87152,x87153)),f331(x87154,x87153))+~E(f331(f73(x87155,x87156,x87157,x87151),x87152),f331(f73(x87156,x87156,x87157,f32(x87156)),x87154))
% 204.30/204.31 [9072]~P35(x90724,x90725,x90721,f331(f331(f155(x90724),x90722),x90726),f331(f331(f155(x90725),x90723),x90727))+P107(f331(f331(x90721,x90722),x90723))
% 204.30/204.31 [9455]P35(x94551,x94552,x94553,x94554,x94555)+~P35(x94551,x94552,x94553,f331(f331(f155(x94551),x94556),x94554),f331(f331(f155(x94552),x94557),x94555))
% 204.30/204.31 [10089]P107(f331(f331(x100891,x100892),f547(x100893,x100892,x100894,x100891)))+~P107(f331(f331(f257(x100895,x100896,x100897,x100891,x100894),x100892),x100893))
% 204.30/204.31 [10113]P107(f331(f331(x101131,f547(x101132,x101133,x101131,x101134)),x101132))+~P107(f331(f331(f257(x101135,x101136,x101137,x101134,x101131),x101133),x101132))
% 204.30/204.31 [6293]E(x62931,x62932)+~E(f331(f331(f331(f91(x62933),x62934),x62935),x62931),f331(f331(f331(f91(x62933),x62936),x62937),x62932))
% 204.30/204.31 [6294]E(x62941,x62942)+~E(f331(f331(f331(f91(x62943),x62944),x62941),x62945),f331(f331(f331(f91(x62943),x62946),x62942),x62947))
% 204.30/204.31 [6295]E(x62951,x62952)+~E(f331(f331(f331(f91(x62953),x62951),x62954),x62955),f331(f331(f331(f91(x62953),x62952),x62956),x62957))
% 204.30/204.31 [9191]~P19(x91916,x91911,x91913,x91917)+E(f331(f73(x91911,x91911,x91912,f331(x91913,x91914)),f331(f73(x91911,x91911,x91912,f331(x91913,x91914)),x91915)),f331(f73(x91911,x91911,x91912,f331(x91913,x91914)),x91915))
% 204.30/204.31 [9566]~P35(x95663,x95662,x95664,f331(f331(f158(x95661,x95663),x95665),x95666),x95667)+P35(x95661,x95662,f331(f331(f8(x95663,f935(x95662,a923),x95661),x95664),x95665),x95666,x95667)
% 204.30/204.31 [9591]P35(x95911,x95912,x95913,f331(f331(f158(x95914,x95911),x95915),x95916),x95917)+~P35(x95914,x95912,f331(f331(f8(x95911,f935(x95912,a923),x95914),x95913),x95915),x95916,x95917)
% 204.30/204.31 [9190]~P107(f331(f331(f333(x91901),x91902),f331(f331(x91905,x91906),x91907)))+P107(f331(f331(f333(x91901),x91902),f331(f331(f261(x91903,x91904,f935(x91901,a923)),x91905),f331(f331(f256(x91903,x91904),x91906),x91907))))
% 204.30/204.31 [9479]P107(f331(f331(f331(x94791,x94792),x94793),x94794))+~P107(f331(f331(f331(f261(x94795,x94796,f935(x94797,a923)),x94791),f331(f331(f256(x94795,x94796),x94792),x94793)),x94794))
% 204.30/204.31 [9630]P107(f331(f331(f333(x96301),f331(f331(x96302,x96303),x96304)),f331(f314(f934(x96305,x96306),x96301,f331(f261(x96305,x96306,x96301),x96302)),x96307)))+~P107(f331(f331(f333(f934(x96305,x96306)),f331(f331(f256(x96305,x96306),x96303),x96304)),x96307))
% 204.30/204.31 [9976]P107(f331(f331(f333(f934(f928(x99761),f928(x99761))),f331(f331(f256(f928(x99761),f928(x99761)),f331(f331(f138(x99761),x99762),f331(f331(f155(x99761),x99763),x99764))),f331(f331(f138(x99761),x99762),f331(f331(f155(x99761),x99765),x99766)))),f151(x99761,x99767)))+~P107(f331(f331(f333(f934(x99761,x99761)),f331(f331(f256(x99761,x99761),x99763),x99765)),x99767))
% 204.30/204.31 [10040]~P35(x100401,x100403,x100404,x100406,f331(f331(f158(x100402,x100403),x100405),x100407))+P35(x100401,x100402,f331(f331(f7(x100401,f935(x100402,x100403),f935(x100402,a923)),f331(f331(f8(f935(x100403,a923),f935(f935(x100402,x100403),f935(x100402,a923)),x100401),f8(x100403,a923,x100402)),x100404)),x100405),x100406,x100407)
% 204.30/204.31 [10117]P35(x101171,x101172,x101173,x101174,f331(f331(f158(x101175,x101172),x101176),x101177))+~P35(x101171,x101175,f331(f331(f7(x101171,f935(x101175,x101172),f935(x101175,a923)),f331(f331(f8(f935(x101172,a923),f935(f935(x101175,x101172),f935(x101175,a923)),x101171),f8(x101172,a923,x101175)),x101173)),x101176),x101174,x101177)
% 204.30/204.31 [10421]P107(f331(f331(f333(x104211),f900(x104212,x104213,x104214,x104215,x104216,x104217,x104211)),x104215))+P107(f331(f331(f331(f331(f40(x104211,f935(x104217,f935(x104216,a923))),x104215),x104214),x104213),x104212))
% 204.30/204.31 [10422]P107(f331(f331(f333(x104221),f796(x104222,x104223,x104224,x104225,x104226,x104227,x104221)),x104227))+P107(f331(f331(f331(f331(f40(x104221,f935(x104223,f935(x104222,a923))),x104227),x104226),x104225),x104224))
% 204.30/204.31 [10423]P107(f331(f331(f333(x104231),f824(x104232,x104233,x104234,x104235,x104236,x104237,x104231)),x104235))+~P107(f331(f331(f331(f331(f39(x104231,f935(x104237,f935(x104236,a923))),x104235),x104234),x104233),x104232))
% 204.30/204.31 [10424]P107(f331(f331(f333(x104241),f795(x104242,x104243,x104244,x104245,x104246,x104247,x104241)),x104245))+~P107(f331(f331(f331(f331(f39(x104241,f935(x104247,f935(x104246,a923))),x104245),x104244),x104243),x104242))
% 204.30/204.31 [10459]P107(f331(f331(f331(x104591,f824(x104592,x104593,x104591,x104594,x104595,x104596,x104597)),x104593),x104592))+~P107(f331(f331(f331(f331(f39(x104597,f935(x104596,f935(x104595,a923))),x104594),x104591),x104593),x104592))
% 204.30/204.31 [10460]P107(f331(f331(f331(x104601,f795(x104602,x104603,x104601,x104604,x104605,x104606,x104607)),x104603),x104602))+~P107(f331(f331(f331(f331(f39(x104607,f935(x104606,f935(x104605,a923))),x104604),x104601),x104603),x104602))
% 204.30/204.31 [10477]~P107(f331(f331(f331(x104775,f900(x104777,x104776,x104775,x104774,x104773,x104772,x104771)),x104776),x104777))+P107(f331(f331(f331(f331(f40(x104771,f935(x104772,f935(x104773,a923))),x104774),x104775),x104776),x104777))
% 204.30/204.31 [10478]~P107(f331(f331(f331(x104785,f796(x104783,x104782,x104787,x104786,x104785,x104784,x104781)),x104786),x104787))+P107(f331(f331(f331(f331(f40(x104781,f935(x104782,f935(x104783,a923))),x104784),x104785),x104786),x104787))
% 204.30/204.31 [10495]~P107(f331(f331(f333(f934(x104951,x104953)),f331(f331(f256(x104951,x104953),x104956),x104957)),f331(f331(f293(x104951,x104952,x104953),x104954),x104955)))+P107(f331(f331(f257(x104951,x104952,x104953,f331(f331(f7(x104951,f935(f934(x104951,x104952),a923),f935(x104952,a923)),f331(f331(f8(f935(x104952,f935(f935(f934(x104951,x104952),a923),a923)),f935(f935(f934(x104951,x104952),a923),f935(x104952,a923)),x104951),f7(x104952,f935(f934(x104951,x104952),a923),a923)),f331(f331(f8(f935(x104952,f934(x104951,x104952)),f935(x104952,f935(f935(f934(x104951,x104952),a923),a923)),x104951),f331(f8(f934(x104951,x104952),f935(f935(f934(x104951,x104952),a923),a923),x104952),f333(f934(x104951,x104952)))),f256(x104951,x104952)))),x104954),f331(f331(f7(x104952,f935(f934(x104952,x104953),a923),f935(x104953,a923)),f331(f331(f8(f935(x104953,f935(f935(f934(x104952,x104953),a923),a923)),f935(f935(f934(x104952,x104953),a923),f935(x104953,a923)),x104952),f7(x104953,f935(f934(x104952,x104953),a923),a923)),f331(f331(f8(f935(x104953,f934(x104952,x104953)),f935(x104953,f935(f935(f934(x104952,x104953),a923),a923)),x104952),f331(f8(f934(x104952,x104953),f935(f935(f934(x104952,x104953),a923),a923),x104953),f333(f934(x104952,x104953)))),f256(x104952,x104953)))),x104955)),x104956),x104957))
% 204.30/204.31 [10505]P107(f331(f331(f333(f934(x105051,x105052)),f331(f331(f256(x105051,x105052),x105053),x105054)),f331(f331(f293(x105051,x105055,x105052),x105056),x105057)))+~P107(f331(f331(f257(x105051,x105055,x105052,f331(f331(f7(x105051,f935(f934(x105051,x105055),a923),f935(x105055,a923)),f331(f331(f8(f935(x105055,f935(f935(f934(x105051,x105055),a923),a923)),f935(f935(f934(x105051,x105055),a923),f935(x105055,a923)),x105051),f7(x105055,f935(f934(x105051,x105055),a923),a923)),f331(f331(f8(f935(x105055,f934(x105051,x105055)),f935(x105055,f935(f935(f934(x105051,x105055),a923),a923)),x105051),f331(f8(f934(x105051,x105055),f935(f935(f934(x105051,x105055),a923),a923),x105055),f333(f934(x105051,x105055)))),f256(x105051,x105055)))),x105056),f331(f331(f7(x105055,f935(f934(x105055,x105052),a923),f935(x105052,a923)),f331(f331(f8(f935(x105052,f935(f935(f934(x105055,x105052),a923),a923)),f935(f935(f934(x105055,x105052),a923),f935(x105052,a923)),x105055),f7(x105052,f935(f934(x105055,x105052),a923),a923)),f331(f331(f8(f935(x105052,f934(x105055,x105052)),f935(x105052,f935(f935(f934(x105055,x105052),a923),a923)),x105055),f331(f8(f934(x105055,x105052),f935(f935(f934(x105055,x105052),a923),a923),x105052),f333(f934(x105055,x105052)))),f256(x105055,x105052)))),x105057)),x105053),x105054))
% 204.30/204.31 [10433]~P140(x104332)+E(f331(f331(f6(x104331,x104332),f331(f331(f7(x104331,f935(x104333,a923),x104332),f331(f331(f8(f935(x104333,x104332),f935(f935(x104333,a923),x104332),x104331),f6(x104333,x104332)),f331(f331(f7(x104331,f935(x104333,x104332),f935(x104333,x104332)),f331(f331(f8(f935(x104332,x104332),f935(f935(x104333,x104332),f935(x104333,x104332)),x104331),f8(x104332,x104332,x104333)),f331(f331(f8(x104332,f935(x104332,x104332),x104331),f81(x104332)),x104334))),x104335))),x104336)),x104337),f331(f331(f81(x104332),f331(f331(f6(x104331,x104332),x104334),x104337)),f331(f331(f6(x104333,x104332),x104335),x104336)))
% 204.30/204.31 [9512]~P18(x95127,x95121,x95123,x95128)+E(f331(f73(x95121,x95121,x95122,f331(x95123,x95124)),f331(f73(x95121,x95121,x95122,f331(x95123,x95125)),x95126)),f331(f73(x95121,x95121,x95122,f331(x95123,x95125)),f331(f73(x95121,x95121,x95122,f331(x95123,x95124)),x95126)))
% 204.30/204.31 [10500]E(f331(f331(f256(x105001,x105002),f331(x105003,f569(x105004,x105005,x105003,x105006,x105007,x105008,x105002,x105001))),f331(x105005,f571(x105004,x105005,x105003,x105006,x105007,x105008,x105002,x105001))),x105008)+~P107(f331(f331(f333(f934(x105001,x105002)),x105008),f331(f314(f934(x105007,x105006),f934(x105001,x105002),f262(x105007,x105001,x105006,x105002,x105003,x105005)),x105004)))
% 204.30/204.31 [10520]~P107(f331(f331(f333(f934(x105208,x105207)),x105206),f331(f314(f934(x105201,x105202),f934(x105208,x105207),f262(x105201,x105208,x105202,x105207,x105205,x105204)),x105203)))+P107(f331(f331(f333(f934(x105201,x105202)),f331(f331(f256(x105201,x105202),f569(x105203,x105204,x105205,x105202,x105201,x105206,x105207,x105208)),f571(x105203,x105204,x105205,x105202,x105201,x105206,x105207,x105208))),x105203))
% 204.30/204.31 [9966]P107(f331(f331(f333(f934(f934(x99661,x99662),f934(x99661,x99662))),f331(f331(f256(f934(x99661,x99662),f934(x99661,x99662)),f331(f331(f256(x99661,x99662),x99663),x99664)),f331(f331(f256(x99661,x99662),x99665),x99666))),f323(x99661,x99662,x99667,x99668)))+~P107(f331(f331(f333(f934(x99661,x99661)),f331(f331(f256(x99661,x99661),x99663),x99665)),x99667))
% 204.30/204.31 [10489]E(f331(f146(x104891,x104892,f331(f7(x104892,x104891,x104891),x104893),f331(x104894,x104895)),x104896),f331(x104894,f331(f146(x104897,x104892,f331(f7(x104892,x104897,x104897),x104898),x104895),x104896)))+P107(f331(f331(f333(x104892),f741(x104895,x104898,x104894,x104893,x104897,x104891,x104896,x104892)),f331(f176(x104892),x104896)))
% 204.30/204.31 [10508]~E(f331(f73(x105081,x105081,x105087,f331(x105083,f741(x105085,x105088,x105084,x105083,x105087,x105081,x105086,x105082))),x105084),f331(f73(x105087,x105081,x105087,x105084),f331(x105088,f741(x105085,x105088,x105084,x105083,x105087,x105081,x105086,x105082))))+E(f331(f146(x105081,x105082,f331(f7(x105082,x105081,x105081),x105083),f331(x105084,x105085)),x105086),f331(x105084,f331(f146(x105087,x105082,f331(f7(x105082,x105087,x105087),x105088),x105085),x105086)))
% 204.30/204.31 [8720]E(f331(x87201,f331(x87202,x87203)),f331(x87204,f331(x87205,x87203)))+~E(f331(f73(x87206,x87207,x87208,x87201),x87202),f331(f73(x87209,x87207,x87208,x87204),x87205))
% 204.30/204.31 [10338]P107(f331(f331(f333(f934(x103381,x103382)),f331(f331(f256(x103381,x103382),f331(x103383,x103384)),f331(x103385,x103386))),f331(f314(f934(x103387,x103388),f934(x103381,x103382),f262(x103387,x103381,x103388,x103382,x103383,x103385)),x103389)))+~P107(f331(f331(f333(f934(x103387,x103388)),f331(f331(f256(x103387,x103388),x103384),x103386)),x103389))
% 204.30/204.31 [9018]~E(f331(x90184,f331(x90185,x90186)),f331(x90189,f331(x901810,x901811)))+E(f331(f331(f73(x90181,x90182,x90183,x90184),x90185),x90186),f331(f331(f73(x90187,x90182,x90188,x90189),x901810),x901811))
% 204.30/204.31 [4818]~P109(x48181)+~P103(x48181)+E(f105(x48181),f237(x48181))
% 204.30/204.31 [4819]~P109(x48191)+~P102(x48191)+E(f114(x48191),f238(x48191))
% 204.30/204.31 [5069]~P114(x50691)+~P95(x50691)+E(f331(f76(x50691),f331(f107(x50691),a101)),f78(x50691))
% 204.30/204.31 [5357]E(x53571,f2(a1))+E(f82(a1,x53571),f331(f79(a1),f78(a1)))+P107(f331(f331(f240(a1),f2(a1)),x53571))
% 204.30/204.31 [5567]E(x55671,f2(a1))+E(f82(a1,x55671),f78(a1))+~P107(f331(f331(f240(a1),f2(a1)),x55671))
% 204.30/204.31 [7577]~P41(x75771)+P107(f331(f61(a1),x75771))+~P107(f331(f61(a927),f331(f314(a1,a927,a108),x75771)))
% 204.30/204.31 [9928]E(x99281,f192(f935(f934(a927,a927),a923)))+~P107(f331(f61(f934(a927,a927)),x99281))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),f192(f935(f934(a927,a927),a923))),x99281)),a34))
% 204.30/204.31 [10090]E(x100901,f2(a927))+E(x100901,f331(a116,f2(a927)))+~P107(f331(f331(f240(a927),x100901),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.30/204.31 [10370]E(x103701,f2(a103))+E(f331(f331(f80(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a22,f331(f331(f36(a103),x103701),f331(f107(a103),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))),f78(a1)),f331(a22,x103701))+E(f45(a103,x103701,f331(f107(a103),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(a103))
% 204.30/204.31 [10217]E(x102171,f2(a103))+~E(f45(a103,x102171,f331(f107(a103),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(a103))+E(f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a22,f331(f331(f36(a103),x102171),f331(f107(a103),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f331(a22,x102171))
% 204.30/204.31 [4899]~P58(x48991,x48992)+P45(x48991,x48992)+~P46(a923)
% 204.30/204.31 [4828]~P147(x48281)+P28(x48281,x48282)+~E(x48282,f2(x48281))
% 204.30/204.31 [4829]~P109(x48291)+P12(x48291,x48292)+~E(x48292,f117(x48291))
% 204.30/204.31 [4838]~P114(x48381)+~E(x48382,f2(x48381))+E(f82(x48381,x48382),f2(x48381))
% 204.30/204.31 [4839]~P92(x48391)+~E(x48392,f2(x48391))+E(f82(x48391,x48392),f2(x48391))
% 204.30/204.31 [4847]~P147(x48472)+~P28(x48472,x48471)+E(x48471,f2(x48472))
% 204.30/204.31 [4892]~P114(x48922)+~E(f82(x48922,x48921),f2(x48922))+E(x48921,f2(x48922))
% 204.30/204.31 [4906]~P3(x49062)+~P3(x49061)+P3(f935(x49061,x49062))
% 204.30/204.31 [4907]~P3(x49072)+~P3(x49071)+P3(f933(x49071,x49072))
% 204.30/204.31 [4908]~P3(x49082)+~P3(x49081)+P3(f934(x49081,x49082))
% 204.30/204.31 [4909]~P5(x49092)+~P5(x49091)+P5(f199(x49091,x49092))
% 204.30/204.31 [4910]~P63(x49102)+~P63(x49101)+P63(f935(x49101,x49102))
% 204.30/204.31 [4911]~P63(x49112)+~P63(x49111)+P63(f933(x49111,x49112))
% 204.30/204.31 [4912]~P63(x49122)+~P63(x49121)+P63(f934(x49121,x49122))
% 204.30/204.31 [4913]~P105(x49132)+~P105(x49131)+P105(f934(x49131,x49132))
% 204.30/204.31 [5040]~P109(x50401)+~P12(x50401,x50402)+P12(x50401,f156(x50401,x50402))
% 204.30/204.31 [5284]~P5(x52842)+~P5(x52841)+P5(f45(a1,x52841,x52842))
% 204.30/204.31 [4849]~P77(x48491)+~E(x48492,f2(x48491))+E(f331(f79(x48491),x48492),x48492)
% 204.30/204.31 [4864]~P144(x48641)+~E(x48642,f2(a1))+E(f331(f106(x48641),x48642),f2(x48641))
% 204.30/204.31 [4865]~P94(x48651)+~E(x48652,f2(a1))+E(f331(f106(x48651),x48652),f2(x48651))
% 204.30/204.31 [4889]~P76(x48891)+~E(f2(x48891),x48892)+E(f331(f79(x48891),x48892),f2(x48891))
% 204.30/204.31 [4890]~P88(x48901)+~E(x48902,f2(x48901))+E(f331(f76(x48901),x48902),f2(x48901))
% 204.30/204.31 [4891]~P76(x48911)+~E(x48912,f2(x48911))+E(f331(f79(x48911),x48912),f2(x48911))
% 204.30/204.31 [4915]~P77(x49152)+E(x49151,f2(x49152))+~E(f331(f79(x49152),x49151),x49151)
% 204.30/204.31 [4921]E(x49211,f331(a108,x49212))+~E(x49211,f2(a927))+~E(x49212,f331(f104(a1),x49211))
% 204.30/204.31 [4922]E(f331(a108,x49221),x49222)+~E(x49222,f2(a927))+~E(x49221,f331(f104(a1),x49222))
% 204.30/204.31 [4926]~P94(x49262)+E(x49261,f2(a1))+~E(f331(f106(x49262),x49261),f2(x49262))
% 204.30/204.31 [4930]~P88(x49302)+E(x49301,f2(x49302))+~E(f331(f76(x49302),x49301),f2(x49302))
% 204.30/204.31 [4931]~P76(x49312)+E(x49311,f2(x49312))+~E(f331(f79(x49312),x49311),f2(x49312))
% 204.30/204.31 [4932]~P76(x49321)+E(f2(x49321),x49322)+~E(f331(f79(x49321),x49322),f2(x49321))
% 204.30/204.31 [5116]~P109(x51161)+~P12(x51161,x51162)+P12(x51161,f331(f175(x51161),x51162))
% 204.30/204.31 [5143]~P107(x51432)+~P107(x51431)+P107(f331(f331(a329,x51431),x51432))
% 204.30/204.31 [5177]~E(f78(a927),f2(a927))+E(f331(f35(x51771),x51772),f2(a927))+~P107(f331(f61(x51771),x51772))
% 204.30/204.31 [5213]~P140(x52131)+~P117(x52131)+E(f331(f331(f248(x52131),f2(x52131)),f331(a116,x52132)),f2(x52131))
% 204.30/204.31 [5252]~P109(x52521)+P12(x52521,f143(x52521,x52522))+~P107(f331(f61(x52521),x52522))
% 204.30/204.31 [5253]~P109(x52531)+P12(x52531,f733(x52532,x52531))+~P107(f331(f61(x52531),x52532))
% 204.30/204.31 [5276]~P109(x52761)+E(f331(f176(x52761),f143(x52761,x52762)),x52762)+~P107(f331(f61(x52761),x52762))
% 204.30/204.31 [5277]~P109(x52771)+E(f331(f176(x52771),f733(x52772,x52771)),x52772)+~P107(f331(f61(x52771),x52772))
% 204.30/204.31 [5306]P107(x53061)+P107(x53062)+~P107(f331(f331(a330,x53062),x53061))
% 204.30/204.31 [5319]E(x53191,f192(f935(x53192,a923)))+~E(f331(f35(x53192),x53191),f2(a927))+~P107(f331(f61(x53192),x53191))
% 204.30/204.31 [5324]P107(x53241)+~P107(x53242)+~P107(f331(f331(a334,x53242),x53241))
% 204.30/204.31 [5375]~P75(x53751)+E(f331(f76(x53751),x53752),x53752)+P107(f331(f331(f240(x53751),x53752),f2(x53751)))
% 204.30/204.31 [5436]~P63(x54362)+~P107(f331(f56(x54362),x54361))+P107(f331(x54361,f734(x54361,x54362)))
% 204.30/204.31 [5437]~P63(x54372)+~P107(f331(f56(x54372),x54371))+P107(f331(x54371,f742(x54371,x54372)))
% 204.30/204.31 [5479]E(x54791,f117(x54792))+P107(f331(f141(x54792),f118(x54792,x54791)))+~P107(f331(f141(x54792),x54791))
% 204.30/204.32 [5484]~P109(x54841)+~P107(f331(f61(x54841),x54842))+P107(f331(f141(x54841),f143(x54841,x54842)))
% 204.30/204.32 [5485]~P109(x54851)+~P107(f331(f61(x54851),x54852))+P107(f331(f141(x54851),f733(x54852,x54851)))
% 204.30/204.32 [5490]~P144(x54901)+E(f331(f104(x54901),f331(a108,x54902)),f331(f106(x54901),x54902))+P107(f331(f331(f240(a1),x54902),f2(a1)))
% 204.30/204.32 [5517]P6(x55172,x55171)+E(f331(x55171,f521(x55171)),f331(x55171,f525(x55171)))+P107(f331(f331(x55171,f521(x55171)),f525(x55171)))
% 204.30/204.32 [5529]E(f331(f104(a1),f453(x55291,x55292)),x55291)+P107(f331(x55292,f331(a108,x55291)))+~P107(f331(x55292,f2(a927)))
% 204.30/204.32 [5541]~P63(x55411)+~P107(f331(x55412,f747(x55412,x55411)))+P107(f331(f57(x55411),x55412))
% 204.30/204.32 [5542]~P63(x55421)+~P107(f331(x55422,f757(x55422,x55421)))+P107(f331(f57(x55421),x55422))
% 204.30/204.32 [5577]~P114(x55771)+~E(f82(x55771,x55772),f331(f79(x55771),f78(x55771)))+P107(f331(f331(f240(x55771),x55772),f2(x55771)))
% 204.30/204.32 [5650]~E(x56502,f2(a1))+E(f220(x56501,x56502),f331(f331(f256(a1,a1),f2(a1)),f78(a1)))+P107(f331(f331(f240(a1),x56502),f2(a1)))
% 204.30/204.32 [5651]~E(x56511,f2(a1))+E(f220(x56511,x56512),f331(f331(f256(a1,a1),f2(a1)),f78(a1)))+P107(f331(f331(f240(a1),x56512),f2(a1)))
% 204.30/204.32 [5703]E(f331(f104(a1),f453(x57031,x57032)),x57031)+P107(f331(x57032,f331(a108,x57031)))+P107(f331(f331(f240(a1),x57031),f2(a1)))
% 204.30/204.32 [5770]~P114(x57701)+E(f82(x57701,x57702),f331(f79(x57701),f78(x57701)))+~P107(f331(f331(f240(x57701),x57702),f2(x57701)))
% 204.30/204.32 [5771]~P88(x57711)+E(f331(f76(x57711),x57712),f331(f79(x57711),x57712))+~P107(f331(f331(f239(x57711),x57712),f2(x57711)))
% 204.30/204.32 [5772]~P88(x57721)+E(f331(f76(x57721),x57722),f331(f79(x57721),x57722))+~P107(f331(f331(f240(x57721),x57722),f2(x57721)))
% 204.30/204.32 [5773]~P75(x57731)+E(f331(f76(x57731),x57732),f331(f79(x57731),x57732))+~P107(f331(f331(f240(x57731),x57732),f2(x57731)))
% 204.30/204.32 [5872]~P107(f331(x58721,f453(x58722,x58721)))+P107(f331(x58721,f331(a108,x58722)))+~P107(f331(x58721,f2(a927)))
% 204.30/204.32 [5879]E(x58791,f2(a927))+E(f331(a116,f910(x58792,x58791)),x58791)+~P107(f331(f331(f240(a927),x58791),f331(a116,x58792)))
% 204.30/204.32 [5883]P6(x58831,x58832)+~E(f331(x58832,f521(x58832)),f331(x58832,f525(x58832)))+~P107(f331(f331(x58832,f521(x58832)),f525(x58832)))
% 204.30/204.32 [5901]~P109(x59011)+P12(x59011,x59012)+P107(f331(f331(f239(a927),f717(x59012,x59011)),f718(x59012,x59011)))
% 204.30/204.32 [5902]~P109(x59021)+P12(x59021,x59022)+P107(f331(f331(f239(a927),f724(x59022,x59021)),f729(x59022,x59021)))
% 204.30/204.32 [5988]~P88(x59881)+~E(x59882,f2(x59881))+P107(f331(f331(f239(x59881),f331(f76(x59881),x59882)),f2(x59881)))
% 204.30/204.32 [6076]~P107(f331(x60761,f453(x60762,x60761)))+P107(f331(x60761,f331(a108,x60762)))+P107(f331(f331(f240(a1),x60762),f2(a1)))
% 204.30/204.32 [6101]~P107(f331(x61011,f331(a108,x61012)))+P107(f331(x61011,f2(a927)))+~P107(f331(f331(f240(a1),x61012),f2(a1)))
% 204.30/204.32 [6446]~P114(x64461)+~P107(f331(f331(f240(x64461),x64462),f2(x64461)))+P107(f331(f331(f240(x64461),f82(x64461,x64462)),f2(x64461)))
% 204.30/204.32 [6562]~P114(x65621)+P107(f331(f331(f239(x65621),f331(f106(x65621),x65622)),f2(x65621)))+~P107(f331(f331(f239(a1),x65622),f2(a1)))
% 204.30/204.32 [6563]~P114(x65631)+P107(f331(f331(f240(x65631),f331(f106(x65631),x65632)),f2(x65631)))+~P107(f331(f331(f240(a1),x65632),f2(a1)))
% 204.30/204.32 [6572]~P88(x65722)+E(x65721,f2(x65722))+~P107(f331(f331(f239(x65722),f331(f76(x65722),x65721)),f2(x65722)))
% 204.30/204.32 [6649]~P144(x66491)+~P107(f331(f331(f333(x66491),x66492),f113(x66491)))+P107(f331(f331(f333(x66491),f331(f79(x66491),x66492)),f113(x66491)))
% 204.30/204.32 [6681]~P114(x66811)+~P107(f331(f331(f240(x66811),f82(x66811,x66812)),f2(x66811)))+P107(f331(f331(f240(x66811),x66812),f2(x66811)))
% 204.30/204.32 [6852]~P114(x68522)+~P107(f331(f331(f239(x68522),f331(f106(x68522),x68521)),f2(x68522)))+P107(f331(f331(f239(a1),x68521),f2(a1)))
% 204.30/204.32 [6853]~P114(x68532)+~P107(f331(f331(f240(x68532),f331(f106(x68532),x68531)),f2(x68532)))+P107(f331(f331(f240(a1),x68531),f2(a1)))
% 204.30/204.32 [7355]~P77(x73551)+~P107(f331(f331(f239(x73551),x73552),f2(x73551)))+P107(f331(f331(f239(x73551),f331(f331(f80(x73551),x73552),x73552)),f2(x73551)))
% 204.30/204.32 [7357]~P114(x73571)+~P107(f331(f331(f240(x73571),x73572),f2(x73571)))+P107(f331(f331(f240(x73571),f331(f331(f80(x73571),x73572),x73572)),f2(x73571)))
% 204.30/204.32 [7358]~P77(x73581)+~P107(f331(f331(f240(x73581),x73582),f2(x73581)))+P107(f331(f331(f240(x73581),f331(f331(f80(x73581),x73582),x73582)),f2(x73581)))
% 204.30/204.32 [7922]~P77(x79221)+~P107(f331(f331(f239(x79221),f331(f331(f80(x79221),x79222),x79222)),f2(x79221)))+P107(f331(f331(f239(x79221),x79222),f2(x79221)))
% 204.30/204.32 [7923]~P114(x79231)+~P107(f331(f331(f240(x79231),f331(f331(f80(x79231),x79232),x79232)),f2(x79231)))+P107(f331(f331(f240(x79231),x79232),f2(x79231)))
% 204.30/204.32 [7924]~P77(x79241)+~P107(f331(f331(f240(x79241),f331(f331(f80(x79241),x79242),x79242)),f2(x79241)))+P107(f331(f331(f240(x79241),x79242),f2(x79241)))
% 204.30/204.32 [4967]~E(x49672,f78(a927))+~E(x49671,f78(a927))+E(f331(f331(f81(a927),x49671),x49672),f78(a927))
% 204.30/204.32 [4968]~E(x49682,f78(a1))+~E(x49681,f78(a1))+E(f331(f331(f81(a1),x49681),x49682),f78(a1))
% 204.30/204.32 [4969]~E(x49692,f2(a927))+~E(x49691,f2(a927))+E(f331(f331(f80(a927),x49691),x49692),f2(a927))
% 204.30/204.32 [5024]~P124(x50242)+E(x50241,f2(x50242))+E(f331(f331(f294(x50242),x50241),x50241),f78(x50242))
% 204.30/204.32 [5025]~P61(x50252)+E(x50251,f2(x50252))+E(f331(f331(f36(x50252),x50251),x50251),f78(x50252))
% 204.30/204.32 [5026]~P125(x50262)+E(x50261,f2(x50262))+E(f331(f331(f294(x50262),x50261),x50261),f78(x50262))
% 204.30/204.32 [5047]~P143(x50471)+~E(x50472,f78(x50471))+E(f331(f331(f81(x50471),x50472),x50472),f78(x50471))
% 204.30/204.32 [5048]~P77(x50481)+~E(x50482,f2(x50481))+E(f331(f331(f80(x50481),x50482),x50482),f2(x50481))
% 204.30/204.32 [5049]~P125(x50491)+~E(x50492,f2(x50491))+E(f331(f331(f294(x50491),x50492),x50492),f2(x50491))
% 204.30/204.32 [5094]~E(x50942,f2(a927))+~E(x50941,f2(a927))+E(f331(f79(a1),f331(f104(a1),x50941)),f331(f104(a1),x50942))
% 204.30/204.32 [5113]E(x51131,f78(a927))+E(x51132,f2(a927))+~E(f331(f331(f81(a927),x51132),x51131),x51132)
% 204.30/204.32 [5125]E(x51251,f2(a927))+E(x51252,f2(a927))+~E(f331(f331(f81(a927),x51252),x51251),f2(a927))
% 204.30/204.32 [5152]~E(x51522,f2(a927))+~E(x51521,f331(a116,f2(a927)))+E(f331(f331(f80(a927),x51521),x51522),f331(a116,f2(a927)))
% 204.30/204.32 [5153]~E(x51531,f2(a927))+~E(x51532,f331(a116,f2(a927)))+E(f331(f331(f80(a927),x51531),x51532),f331(a116,f2(a927)))
% 204.30/204.32 [5160]E(x51601,f78(a1))+E(x51602,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x51601),x51602),f78(a1))
% 204.30/204.32 [5161]E(x51611,f78(a1))+E(x51612,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x51612),x51611),f78(a1))
% 204.30/204.32 [5162]E(x51621,f78(a1))+E(x51621,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x51622),x51621),f78(a1))
% 204.30/204.32 [5164]E(x51641,f78(a1))+E(x51641,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x51641),x51642),f78(a1))
% 204.30/204.32 [5185]~P77(x51852)+E(x51851,f2(x51852))+~E(f331(f331(f80(x51852),x51851),x51851),f2(x51852))
% 204.30/204.32 [5191]~E(x51911,f331(f107(a1),a101))+~E(x51912,f331(f107(a1),a101))+E(f331(f331(f81(a1),x51911),x51912),f78(a1))
% 204.30/204.32 [5202]E(x52021,f2(a927))+E(x52022,f2(a927))+~E(f331(f331(f80(a927),x52022),x52021),f331(a116,f2(a927)))
% 204.30/204.32 [5212]~P64(x52121)+~P95(x52121)+E(f331(f331(f294(x52121),x52122),f331(f107(x52121),a83)),f2(x52121))
% 204.30/204.32 [5219]~P143(x52191)+~E(x52192,f331(f79(x52191),f78(x52191)))+E(f331(f331(f81(x52191),x52192),x52192),f78(x52191))
% 204.30/204.32 [5224]~P5(x52242)+~P5(x52241)+P5(f331(f331(f81(a1),x52241),x52242))
% 204.30/204.32 [5225]~P5(x52252)+~P5(x52251)+P5(f331(f331(f80(a1),x52251),x52252))
% 204.30/204.32 [5226]~P5(x52262)+~P5(x52261)+P5(f331(f331(f36(a1),x52261),x52262))
% 204.30/204.32 [5228]~E(x52282,f2(a1))+E(x52281,f2(a1))+E(f46(x52281,x52282),f331(f331(f256(a1,a1),f2(a1)),x52281))
% 204.30/204.32 [5250]~E(x52502,f331(a116,f2(a927)))+~E(x52501,f331(a116,f2(a927)))+E(f331(f331(f81(a927),x52501),x52502),f331(a116,f2(a927)))
% 204.30/204.32 [5267]E(x52671,f2(a927))+E(x52672,f331(a116,f2(a927)))+~E(f331(f331(f248(a927),x52672),x52671),f331(a116,f2(a927)))
% 204.30/204.32 [5268]E(x52681,f2(a927))+E(x52681,f331(a116,f2(a927)))+~E(f331(f331(f80(a927),x52682),x52681),f331(a116,f2(a927)))
% 204.30/204.32 [5269]E(x52691,f2(a927))+E(x52691,f331(a116,f2(a927)))+~E(f331(f331(f80(a927),x52691),x52692),f331(a116,f2(a927)))
% 204.30/204.32 [5278]~P64(x52781)+~P95(x52781)+E(f331(f331(f294(x52781),x52782),f331(f107(x52781),a101)),f331(f79(x52781),x52782))
% 204.30/204.32 [5298]E(x52981,f331(a108,x52982))+~E(x52981,f2(a927))+P107(f331(f331(f239(a1),f2(a1)),x52982))
% 204.30/204.32 [5299]E(f331(a108,x52991),x52992)+~E(x52992,f2(a927))+P107(f331(f331(f239(a1),f2(a1)),x52991))
% 204.30/204.32 [5315]E(x53151,f331(a116,f2(a927)))+E(x53152,f331(a116,f2(a927)))+~E(f331(f331(f80(a927),x53151),x53152),f331(a116,f2(a927)))
% 204.30/204.32 [5326]~E(x53261,f331(a108,x53262))+E(x53261,f2(a927))+P107(f331(f331(f239(a1),f2(a1)),x53262))
% 204.30/204.32 [5327]~E(f331(a108,x53272),x53271)+E(x53271,f2(a927))+P107(f331(f331(f239(a1),f2(a1)),x53272))
% 204.30/204.32 [5349]~P79(x53491)+E(f331(f63(x53491,f114(x53491)),x53492),f10(x53491,x53492))+~P107(f331(f61(x53491),x53492))
% 204.30/204.32 [5350]~P79(x53501)+E(f331(f63(x53501,f105(x53501)),x53502),f11(x53501,x53502))+~P107(f331(f61(x53501),x53502))
% 204.30/204.32 [5351]~P109(x53511)+E(f331(f63(x53511,f237(x53511)),x53512),f14(x53511,x53512))+~P107(f331(f61(x53511),x53512))
% 204.30/204.32 [5352]~P109(x53521)+E(f331(f63(x53521,f238(x53521)),x53522),f15(x53521,x53522))+~P107(f331(f61(x53521),x53522))
% 204.30/204.32 [5431]E(x54311,x54312)+~E(f331(f331(f23(a927),x54312),x54311),f2(a927))+~E(f331(f331(f23(a927),x54311),x54312),f2(a927))
% 204.30/204.32 [5449]P5(x54491)+~P41(x54492)+~P107(f331(f331(f333(a1),x54491),x54492))
% 204.30/204.32 [5480]~P114(x54801)+~E(f82(x54801,x54802),f78(x54801))+P107(f331(f331(f240(x54801),f2(x54801)),x54802))
% 204.30/204.32 [5491]~P95(x54911)+E(f331(f104(x54911),f331(f107(a927),x54912)),f331(f107(x54911),x54912))+P107(f331(a197,f331(f107(a1),x54912)))
% 204.30/204.32 [5496]~P45(x54961,x54962)+P46(a923)+P107(f331(f61(f934(x54961,x54961)),x54962))
% 204.30/204.32 [5569]~P109(x55691)+E(f331(f63(x55691,f238(x55691)),x55692),f12(x55691,f238(x55691),x55692))+~P107(f331(f61(x55691),x55692))
% 204.30/204.32 [5570]~P109(x55701)+E(f331(f63(x55701,f237(x55701)),x55702),f13(x55701,f237(x55701),x55702))+~P107(f331(f61(x55701),x55702))
% 204.30/204.32 [5584]E(x55841,x55842)+P107(f331(f331(f240(a927),x55842),x55841))+P107(f331(f331(f240(a927),x55841),x55842))
% 204.30/204.32 [5585]E(x55851,x55852)+P107(f331(f331(f240(a1),x55852),x55851))+P107(f331(f331(f240(a1),x55851),x55852))
% 204.30/204.32 [5637]~P95(x56371)+E(f331(f104(x56371),f331(f107(a927),x56372)),f2(x56371))+~P107(f331(a197,f331(f107(a1),x56372)))
% 204.30/204.32 [5640]~E(x56402,f331(a108,x56401))+E(x56401,f331(f104(a1),x56402))+~P107(f331(f331(f239(a1),f2(a1)),x56401))
% 204.30/204.32 [5641]~E(f331(a108,x56411),x56412)+E(x56411,f331(f104(a1),x56412))+~P107(f331(f331(f239(a1),f2(a1)),x56411))
% 204.30/204.32 [5642]~E(x56421,f331(a108,x56422))+E(f331(f104(a1),x56421),x56422)+~P107(f331(f331(f239(a1),f2(a1)),x56422))
% 204.30/204.32 [5652]E(x56521,f331(a108,x56522))+~E(x56522,f331(f104(a1),x56521))+~P107(f331(f331(f239(a1),f2(a1)),x56522))
% 204.30/204.32 [5653]E(f331(a108,x56531),x56532)+~E(x56531,f331(f104(a1),x56532))+~P107(f331(f331(f239(a1),f2(a1)),x56531))
% 204.30/204.32 [5694]~P88(x56942)+E(x56941,f2(x56942))+P107(f331(f331(f240(x56942),f2(x56942)),f331(f76(x56942),x56941)))
% 204.30/204.32 [5759]~P114(x57591)+E(f82(x57591,x57592),f78(x57591))+~P107(f331(f331(f240(x57591),f2(x57591)),x57592))
% 204.30/204.32 [5763]~P95(x57631)+E(f331(f104(x57631),f331(f107(a927),x57632)),f2(x57631))+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x57632)))
% 204.30/204.32 [5774]~P88(x57741)+E(f331(f76(x57741),x57742),x57742)+~P107(f331(f331(f239(x57741),f2(x57741)),x57742))
% 204.30/204.32 [5775]~P88(x57751)+E(f331(f76(x57751),x57752),x57752)+~P107(f331(f331(f240(x57751),f2(x57751)),x57752))
% 204.30/204.32 [5784]E(x57841,f2(a927))+~E(f143(a927,f331(f306(a927,x57842),x57841)),f117(a927))+P107(f331(f331(f239(a927),x57841),x57842))
% 204.30/204.32 [5794]~P72(x57941)+E(f331(f331(f6(x57941,x57941),f5(x57941)),f331(f176(x57941),x57942)),f331(f169(x57941),x57942))+~P107(f331(f141(x57941),x57942))
% 204.30/204.32 [5797]~P144(x57971)+E(f331(f104(x57971),f331(a108,x57972)),f331(f106(x57971),x57972))+~P107(f331(f331(f239(a1),f2(a1)),x57972))
% 204.30/204.32 [5824]E(x58241,x58242)+P107(f331(f331(f240(a927),x58241),x58242))+~P107(f331(f331(f239(a927),x58241),x58242))
% 204.30/204.32 [5825]E(x58251,x58252)+P107(f331(f331(f240(a1),x58251),x58252))+~P107(f331(f331(f239(a1),x58251),x58252))
% 204.30/204.32 [5828]E(x58281,f78(a1))+~E(f331(f331(f81(a1),x58282),x58281),f78(a1))+~P107(f331(f331(f240(a1),f2(a1)),x58282))
% 204.30/204.32 [5829]E(x58291,f78(a1))+~E(f331(f331(f81(a1),x58291),x58292),f78(a1))+~P107(f331(f331(f240(a1),f2(a1)),x58291))
% 204.30/204.32 [5869]~P41(x58692)+P107(f331(f331(f239(a1),f2(a1)),x58691))+~P107(f331(f331(f333(a1),x58691),x58692))
% 204.30/204.32 [5888]~P58(x58881,x58882)+P38(x58881,x58882)+~P107(f331(f61(f934(x58881,x58881)),x58882))
% 204.30/204.32 [5890]~P58(x58901,x58902)+P45(x58901,x58902)+~P107(f331(f61(f934(x58901,x58901)),x58902))
% 204.30/204.32 [5932]E(x59321,f192(f935(x59322,a923)))+~P107(f331(f61(x59322),x59321))+P107(f331(f331(f240(a927),f2(a927)),f331(f35(x59322),x59321)))
% 204.30/204.32 [5959]~P107(f331(x59591,x59592))+P107(f331(x59591,f2(a927)))+P107(f331(f331(f240(a927),f349(x59592,x59591)),x59592))
% 204.30/204.32 [5982]E(x59821,f2(a927))+~E(f331(f169(a927),x59822),f2(a927))+~P107(f331(f331(f333(a927),x59821),f331(f176(a927),x59822)))
% 204.30/204.32 [6050]E(x60501,x60502)+~P107(f331(f331(f239(a927),x60502),x60501))+~P107(f331(f331(f239(a927),x60501),x60502))
% 204.30/204.32 [6051]E(x60511,x60512)+~P107(f331(f331(f239(a1),x60512),x60511))+~P107(f331(f331(f239(a1),x60511),x60512))
% 204.30/204.32 [6053]E(f331(f35(x60531),x60532),f2(a927))+~P107(f331(f61(x60531),x60532))+P107(f331(f331(f333(x60531),f493(x60532,x60531)),x60532))
% 204.30/204.32 [6062]E(f50(x60621,x60622),f46(x60621,x60622))+P107(f331(f331(f239(a1),f2(a1)),x60621))+~P107(f331(f331(f240(a1),f2(a1)),x60622))
% 204.30/204.32 [6088]~P107(f331(x60881,f452(x60881)))+P107(f331(x60881,f331(a108,x60882)))+~P107(f331(f331(f239(a1),f2(a1)),x60882))
% 204.30/204.32 [6091]P107(f331(f331(f239(a927),x60911),f377(x60912)))+~P107(f331(f61(a927),x60912))+~P107(f331(f331(f333(a927),x60911),x60912))
% 204.30/204.32 [6092]P107(f331(f331(f240(a927),x60921),f375(x60922)))+~P107(f331(f61(a927),x60922))+~P107(f331(f331(f333(a927),x60921),x60922))
% 204.30/204.32 [6123]E(x61231,x61232)+~P107(f331(f331(f240(a927),x61231),f331(a116,x61232)))+P107(f331(f331(f240(a927),x61231),x61232))
% 204.30/204.32 [6155]E(x61551,f331(a116,x61552))+~P107(f331(f331(f239(a927),x61551),f331(a116,x61552)))+P107(f331(f331(f239(a927),x61551),x61552))
% 204.30/204.32 [6171]P107(f331(x61711,f450(x61711)))+~P107(f331(x61711,f331(a108,x61712)))+~P107(f331(f331(f239(a1),f2(a1)),x61712))
% 204.30/204.32 [6186]~P107(f331(x61861,x61862))+~P107(f331(f331(f239(a1),f2(a1)),x61862))+P107(f331(x61861,f331(f104(a1),f379(x61861))))
% 204.30/204.32 [6198]~P88(x61982)+~E(x61981,f2(x61982))+~P107(f331(f331(f240(x61982),f2(x61982)),f331(f76(x61982),x61981)))
% 204.30/204.32 [6225]~P58(x62251,x62252)+P38(x62251,f331(f290(x62251,x62251),x62252))+~P107(f331(f61(f934(x62251,x62251)),x62252))
% 204.30/204.32 [6233]~P95(x62331)+E(f331(f104(x62331),f331(f107(a927),x62332)),f331(f107(x62331),x62332))+~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x62332)))
% 204.30/204.32 [6237]E(f331(a116,x62371),x62372)+~P107(f331(f331(f240(a927),x62371),x62372))+P107(f331(f331(f240(a927),f331(a116,x62371)),x62372))
% 204.30/204.32 [6253]E(f331(f331(f36(a1),x62531),x62532),f2(a1))+~P107(f331(f331(f239(a1),x62531),f2(a1)))+~P107(f331(f331(f240(a1),x62532),x62531))
% 204.30/204.32 [6263]E(f45(a1,x62631,x62632),x62631)+~P107(f331(f331(f239(a1),x62631),f2(a1)))+~P107(f331(f331(f240(a1),x62632),x62631))
% 204.30/204.32 [6277]E(f47(x62771,x62772),f46(x62771,x62772))+~P107(f331(f331(f239(a1),f2(a1)),x62771))+~P107(f331(f331(f239(a1),f2(a1)),x62772))
% 204.30/204.32 [6287]E(f331(f331(f36(a1),x62871),x62872),f2(a1))+~P107(f331(f331(f239(a1),f2(a1)),x62871))+~P107(f331(f331(f240(a1),x62871),x62872))
% 204.30/204.32 [6299]E(f45(a927,f331(f107(a927),x62991),f331(f107(a927),x62992)),f331(f107(a927),x62991))+P107(f331(a197,f331(f107(a1),x62991)))+~P107(f331(a197,f331(f107(a1),x62992)))
% 204.30/204.32 [6301]E(f45(a1,x63011,x63012),x63011)+~P107(f331(f331(f239(a1),f2(a1)),x63011))+~P107(f331(f331(f240(a1),x63011),x63012))
% 204.30/204.32 [6302]E(x63021,x63022)+~P107(f331(f331(f240(a927),x63021),f331(a116,x63022)))+~P107(f331(f331(f239(a927),x63022),x63021))
% 204.30/204.32 [6316]~P77(x63161)+~P107(f331(f331(f239(x63161),x63162),f2(x63161)))+P107(f331(f331(f239(x63161),x63162),f331(f79(x63161),x63162)))
% 204.30/204.32 [6317]~P114(x63171)+~P107(f331(f331(f240(x63171),x63172),f2(x63171)))+P107(f331(f331(f240(x63171),x63172),f331(f79(x63171),x63172)))
% 204.30/204.32 [6327]~P4(x63271)+E(f331(f331(f64(x63271,x63271,f114(x63271)),f192(x63271)),x63272),f37(x63271,x63272))+~P107(f331(f61(x63271),x63272))
% 204.30/204.32 [6328]~P4(x63281)+E(f331(f331(f64(x63281,x63281,f105(x63281)),f246(x63281)),x63282),f38(x63281,x63282))+~P107(f331(f61(x63281),x63282))
% 204.30/204.32 [6345]~P114(x63451)+~P107(f331(f331(f239(a1),f2(a1)),x63452))+P107(f331(f331(f239(x63451),f2(x63451)),f331(f106(x63451),x63452)))
% 204.30/204.32 [6346]~P127(x63461)+~P107(f331(f331(f240(a927),f2(a927)),x63462))+P107(f331(f331(f240(x63461),f2(x63461)),f331(f104(x63461),x63462)))
% 204.30/204.32 [6347]~P114(x63471)+~P107(f331(f331(f240(a1),f2(a1)),x63472))+P107(f331(f331(f240(x63471),f2(x63471)),f331(f106(x63471),x63472)))
% 204.30/204.32 [6350]~P5(x63502)+~P5(x63501)+E(f331(f314(a927,a1,f104(a1)),f307(a927,f331(a108,x63501),f331(a108,x63502))),f307(a1,x63501,x63502))
% 204.30/204.32 [6356]P107(f331(x63561,x63562))+~P107(f331(f331(f239(a1),f2(a1)),x63562))+~P107(f331(x63561,f331(f104(a1),f384(x63561))))
% 204.30/204.32 [6385]E(f331(f331(f80(a927),f331(f107(a927),x63851)),f331(f107(a927),x63852)),f331(f107(a927),x63851))+P107(f331(f331(f240(a1),x63851),a83))+~P107(f331(f331(f240(a1),x63852),a83))
% 204.30/204.32 [6389]~P114(x63891)+P107(f331(f331(f240(x63891),f2(x63891)),f82(x63891,x63892)))+~P107(f331(f331(f240(x63891),f2(x63891)),x63892))
% 204.30/204.32 [6401]~P81(x64011)+~P107(f331(f331(f239(x64011),x64012),f2(x64011)))+P107(f331(f331(f239(x64011),f2(x64011)),f331(f79(x64011),x64012)))
% 204.30/204.32 [6402]~P81(x64021)+~P107(f331(f331(f240(x64021),x64022),f2(x64021)))+P107(f331(f331(f240(x64021),f2(x64021)),f331(f79(x64021),x64022)))
% 204.30/204.32 [6405]E(x64051,f246(f935(x64052,a923)))+~E(f331(f35(x64052),x64051),f331(f35(x64052),f246(f935(x64052,a923))))+~P107(f331(f61(x64052),f246(f935(x64052,a923))))
% 204.30/204.32 [6431]~P107(f331(f331(f240(a927),f2(a927)),x64312))+~P107(f331(f331(f291(a927),x64311),x64312))+P107(f331(f331(f239(a927),x64311),x64312))
% 204.30/204.32 [6438]~P77(x64381)+P107(f331(f331(f239(x64381),x64382),f2(x64381)))+~P107(f331(f331(f239(x64381),x64382),f331(f79(x64381),x64382)))
% 204.30/204.32 [6439]~P114(x64391)+P107(f331(f331(f240(x64391),x64392),f2(x64391)))+~P107(f331(f331(f240(x64391),x64392),f331(f79(x64391),x64392)))
% 204.30/204.32 [6448]~P95(x64481)+P107(f331(f331(f333(x64481),f331(f107(x64481),x64482)),f190(x64481)))+~P107(f331(f331(f239(a1),a83),x64482))
% 204.30/204.32 [6477]E(x64771,f2(a927))+~P107(f331(f331(f240(a927),x64771),f331(a116,x64772)))+P107(f331(f331(f240(a927),f910(x64772,x64771)),x64772))
% 204.30/204.32 [6500]~P114(x65001)+~P107(f331(f331(f240(x65001),f2(x65001)),f82(x65001,x65002)))+P107(f331(f331(f240(x65001),f2(x65001)),x65002))
% 204.30/204.32 [6502]~E(f331(f107(a927),x65022),f331(f107(a927),x65021))+P107(f331(f331(f239(a1),f331(f107(a1),x65021)),f2(a1)))+~P107(f331(a197,f331(f107(a1),x65022)))
% 204.30/204.32 [6532]E(f331(f255(a1,a1),f50(x65321,x65322)),f331(f331(f36(a1),x65321),x65322))+~P107(f331(f331(f240(a1),x65321),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x65322))
% 204.30/204.32 [6570]E(f331(f260(a1,a1),f50(x65701,x65702)),f45(a1,x65701,x65702))+~P107(f331(f331(f240(a1),x65701),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x65702))
% 204.30/204.32 [6573]~P114(x65732)+~P107(f331(f331(f239(x65732),f2(x65732)),f331(f106(x65732),x65731)))+P107(f331(f331(f239(a1),f2(a1)),x65731))
% 204.30/204.32 [6574]~P127(x65742)+~P107(f331(f331(f240(x65742),f2(x65742)),f331(f104(x65742),x65741)))+P107(f331(f331(f240(a927),f2(a927)),x65741))
% 204.30/204.32 [6575]~P114(x65752)+~P107(f331(f331(f240(x65752),f2(x65752)),f331(f106(x65752),x65751)))+P107(f331(f331(f240(a1),f2(a1)),x65751))
% 204.30/204.32 [6578]E(f331(f255(a1,a1),f47(x65781,x65782)),f331(f331(f36(a1),x65781),x65782))+~P107(f331(f331(f239(a1),f2(a1)),x65782))+~P107(f331(f331(f240(a1),f2(a1)),x65781))
% 204.30/204.32 [6592]E(f331(f260(a1,a1),f47(x65921,x65922)),f45(a1,x65921,x65922))+~P107(f331(f331(f239(a1),f2(a1)),x65922))+~P107(f331(f331(f240(a1),f2(a1)),x65921))
% 204.30/204.32 [6607]~P81(x66071)+P107(f331(f331(f239(x66071),x66072),f2(x66071)))+~P107(f331(f331(f239(x66071),f2(x66071)),f331(f79(x66071),x66072)))
% 204.30/204.32 [6608]~P81(x66081)+P107(f331(f331(f240(x66081),x66082),f2(x66081)))+~P107(f331(f331(f240(x66081),f2(x66081)),f331(f79(x66081),x66082)))
% 204.30/204.32 [6634]P107(f331(f49(x66341,x66342),f50(x66341,x66342)))+~P107(f331(f331(f240(a1),x66341),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x66342))
% 204.30/204.32 [6648]~P107(f331(f331(f240(a927),f2(a927)),x66481))+~P107(f331(f331(f291(a927),x66482),x66481))+~P107(f331(f331(f240(a927),x66481),x66482))
% 204.30/204.32 [6661]P107(f331(f49(x66611,x66612),f47(x66611,x66612)))+~P107(f331(f331(f239(a1),f2(a1)),x66611))+~P107(f331(f331(f240(a1),f2(a1)),x66612))
% 204.30/204.32 [6704]~P81(x67041)+P107(f331(f331(f239(x67041),f331(f79(x67041),x67042)),f2(x67041)))+~P107(f331(f331(f239(x67041),f2(x67041)),x67042))
% 204.30/204.32 [6705]~P81(x67051)+P107(f331(f331(f240(x67051),f331(f79(x67051),x67052)),f2(x67051)))+~P107(f331(f331(f240(x67051),f2(x67051)),x67052))
% 204.30/204.32 [6721]E(f331(f331(f23(a927),f331(a108,x67211)),f331(a108,x67212)),f331(a108,f199(x67211,x67212)))+~P107(f331(f331(f239(a1),f2(a1)),x67212))+~P107(f331(f331(f239(a1),f2(a1)),x67211))
% 204.30/204.32 [6739]P107(f331(f331(f239(a1),f2(a1)),f199(x67391,x67392)))+~P107(f331(f331(f239(a1),f2(a1)),x67392))+~P107(f331(f331(f239(a1),f2(a1)),x67391))
% 204.30/204.32 [6776]~P107(f331(x67761,x67762))+P107(f331(x67761,f2(a927)))+P107(f331(x67761,f331(f331(f80(a927),f349(x67762,x67761)),f78(a927))))
% 204.30/204.32 [6859]E(f331(f107(a927),x68591),f331(f107(a927),x68592))+~P107(f331(f331(f239(a1),f331(f107(a1),x68592)),f2(a1)))+~P107(f331(a197,f331(f107(a1),x68591)))
% 204.30/204.32 [6869]~E(x68691,f2(a927))+~E(f694(x68692,x68691),f2(a927))+E(f331(f146(a927,a927,f80(a927),x68691),x68692),f2(a927))
% 204.30/204.32 [6893]~P107(f331(f61(x68931),f901(x68932,x68931)))+~P107(f331(f61(f935(x68931,a923)),x68932))+P107(f331(f61(x68931),f37(f935(x68931,a923),x68932)))
% 204.30/204.32 [6899]E(x68991,x68992)+P107(f331(f331(f240(a1),x68991),x68992))+~P107(f331(f331(f240(a1),x68991),f331(f331(f80(a1),x68992),f78(a1))))
% 204.30/204.32 [6900]P107(f331(f331(f239(a927),f331(a108,x69001)),f331(a108,x69002)))+~P107(f331(f331(f239(a1),f2(a1)),x69002))+~P107(f331(f331(f239(a1),x69001),x69002))
% 204.30/204.32 [6901]P107(f331(f331(f239(a927),f331(a108,x69011)),f331(a108,x69012)))+~P107(f331(f331(f240(a1),f2(a1)),x69011))+~P107(f331(f331(f239(a1),x69011),x69012))
% 204.30/204.32 [6903]P107(f331(f331(f240(a927),f331(a108,x69031)),f331(a108,x69032)))+~P107(f331(f331(f239(a1),f2(a1)),x69031))+~P107(f331(f331(f240(a1),x69031),x69032))
% 204.30/204.32 [6904]P107(f331(f331(f240(a927),f331(a108,x69041)),f331(a108,x69042)))+~P107(f331(f331(f240(a1),f2(a1)),x69042))+~P107(f331(f331(f240(a1),x69041),x69042))
% 204.30/204.32 [6915]E(f45(a927,f331(a108,x69151),f331(a108,x69152)),f331(a108,f45(a1,x69151,x69152)))+~P107(f331(f331(f239(a1),f2(a1)),x69152))+~P107(f331(f331(f239(a1),f2(a1)),x69151))
% 204.30/204.32 [6940]~P81(x69401)+~P107(f331(f331(f239(x69401),f331(f79(x69401),x69402)),f2(x69401)))+P107(f331(f331(f239(x69401),f2(x69401)),x69402))
% 204.30/204.32 [6941]~P81(x69411)+~P107(f331(f331(f240(x69411),f331(f79(x69411),x69412)),f2(x69411)))+P107(f331(f331(f240(x69411),f2(x69411)),x69412))
% 204.30/204.32 [6955]~P107(f331(f331(f240(a1),a83),x69552))+~P107(f331(f331(f240(a1),x69551),x69552))+P107(f331(f331(f240(a927),f331(f107(a927),x69551)),f331(f107(a927),x69552)))
% 204.30/204.32 [7045]~P107(f331(f331(f239(a1),f2(a1)),x70451))+P107(f331(f331(f240(a927),f331(a108,x70451)),x70452))+~P107(f331(f331(f240(a1),x70451),f331(f104(a1),x70452)))
% 204.30/204.32 [7050]P107(f331(x70501,x70502))+~P107(f331(x70501,f331(a20,f825(x70501,x70502))))+~P107(f331(f331(f333(a927),x70502),f246(f935(a927,a923))))
% 204.30/204.32 [7061]E(x70611,f2(a1))+E(f45(a1,x70612,x70611),f2(a1))+E(f331(f331(f23(a1),f331(f79(a1),f331(f331(f36(a1),x70612),x70611))),f78(a1)),f331(f331(f36(a1),x70612),f331(f79(a1),x70611)))
% 204.30/204.32 [7075]~P107(f331(f331(f239(a1),f2(a1)),x70751))+~P107(f331(f331(f240(a927),f331(a108,x70751)),x70752))+P107(f331(f331(f240(a1),x70751),f331(f104(a1),x70752)))
% 204.30/204.32 [7109]~P107(f331(f331(f239(a927),f331(a108,x71091)),f331(a108,x71092)))+~P107(f331(f331(f239(a1),f2(a1)),x71092))+P107(f331(f331(f239(a1),x71091),x71092))
% 204.30/204.32 [7110]~P107(f331(f331(f239(a927),f331(a108,x71101)),f331(a108,x71102)))+~P107(f331(f331(f240(a1),f2(a1)),x71101))+P107(f331(f331(f239(a1),x71101),x71102))
% 204.30/204.32 [7138]P107(f331(f331(f239(a1),x71381),x71382))+~P107(f331(f331(f239(a927),f331(f107(a927),x71381)),f331(f107(a927),x71382)))+P107(f331(f331(f239(a1),x71381),a83))
% 204.30/204.32 [7166]P107(f331(f331(f239(a1),f2(a1)),f45(a1,x71661,x71662)))+~P107(f331(f331(f239(a1),f2(a1)),x71662))+~P107(f331(f331(f239(a1),f2(a1)),x71661))
% 204.30/204.32 [7265]P107(f331(f331(f240(a1),a83),x72651))+~P107(f331(f331(f240(a1),x72652),x72651))+~P107(f331(f331(f240(a927),f331(f107(a927),x72652)),f331(f107(a927),x72651)))
% 204.30/204.32 [7318]E(f331(f331(f256(a1,a1),f331(f331(f36(a1),x73181),x73182)),f45(a1,x73181,x73182)),f50(x73181,x73182))+~P107(f331(f331(f240(a1),x73181),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x73182))
% 204.30/204.32 [7338]E(f331(f331(f256(a1,a1),f331(f331(f36(a1),x73381),x73382)),f45(a1,x73381,x73382)),f47(x73381,x73382))+~P107(f331(f331(f239(a1),f2(a1)),x73382))+~P107(f331(f331(f239(a1),f2(a1)),x73381))
% 204.30/204.32 [7390]~P98(x73902)+E(x73901,f117(x73902))+E(f331(f146(x73902,x73902,f81(x73902),f331(f145(x73902),x73901)),f331(f175(x73902),x73901)),f331(f63(x73902,f81(x73902)),f331(f176(x73902),x73901)))
% 204.30/204.32 [7507]~E(x75071,f2(a927))+E(f331(f146(a927,a927,f80(a927),x75071),x75072),f2(a927))+P107(f331(f331(f333(a927),f694(x75072,x75071)),f331(f176(a927),x75072)))
% 204.30/204.32 [7557]~P107(f331(f331(f239(a1),x75571),f2(a1)))+P107(f331(f331(f239(a1),f331(f331(f36(a1),x75571),x75572)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x75572))
% 204.30/204.32 [7558]~P107(f331(f331(f240(a1),x75582),f2(a1)))+P107(f331(f331(f239(a1),f331(f331(f36(a1),x75581),x75582)),f2(a1)))+~P107(f331(f331(f239(a1),f2(a1)),x75581))
% 204.30/204.32 [7559]~P107(f331(f331(f240(a1),x75592),f2(a1)))+P107(f331(f331(f240(a1),f331(f331(f36(a1),x75591),x75592)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x75591))
% 204.30/204.32 [7561]~P107(f331(f331(f240(a1),x75611),f2(a1)))+P107(f331(f331(f240(a1),f331(f331(f36(a1),x75611),x75612)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x75612))
% 204.30/204.32 [7567]P107(f331(f331(f333(f935(x75671,a923)),f901(x75672,x75671)),x75672))+~P107(f331(f61(f935(x75671,a923)),x75672))+P107(f331(f61(x75671),f37(f935(x75671,a923),x75672)))
% 204.30/204.32 [7658]P24(x76581,x76581,x76582,f246(f935(x76581,a923)))+~E(f331(f314(x76581,x76581,x76582),f246(f935(x76581,a923))),f246(f935(x76581,a923)))+~P107(f331(f61(x76581),f246(f935(x76581,a923))))
% 204.30/204.32 [7778]~P24(x77781,x77781,x77782,f246(f935(x77781,a923)))+E(f331(f314(x77781,x77781,x77782),f246(f935(x77781,a923))),f246(f935(x77781,a923)))+~P107(f331(f61(x77781),f246(f935(x77781,a923))))
% 204.30/204.32 [7916]E(f331(f331(f36(a1),x79161),x79162),f331(f107(a1),a101))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x79161),x79162)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x79161))
% 204.30/204.32 [7974]~P107(f331(f331(f240(a1),x79742),f2(a1)))+~P107(f331(f331(f240(a1),f331(f331(f36(a1),x79741),x79742)),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x79741))
% 204.30/204.32 [7979]E(f331(f331(f80(a1),x79791),x79792),f45(a1,x79791,x79792))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),x79791),x79792)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x79791))
% 204.30/204.32 [7982]P107(f331(f331(f240(a1),x79821),f2(a1)))+~P107(f331(f331(f240(a1),f331(f331(f36(a1),x79821),x79822)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x79822))
% 204.30/204.32 [8683]~P109(x86831)+P12(x86831,x86832)+~P107(f331(f331(f239(x86831),f331(f331(f168(x86831),x86832),f717(x86832,x86831))),f331(f331(f168(x86831),x86832),f718(x86832,x86831))))
% 204.30/204.32 [8684]~P109(x86841)+P12(x86841,x86842)+~P107(f331(f331(f239(x86841),f331(f331(f168(x86841),x86842),f724(x86842,x86841))),f331(f331(f168(x86841),x86842),f729(x86842,x86841))))
% 204.30/204.32 [5925]E(x59251,f2(a1))+~E(f45(a1,x59252,x59251),f2(a1))+E(f331(f331(f36(a1),x59252),f331(f79(a1),x59251)),f331(f79(a1),f331(f331(f36(a1),x59252),x59251)))
% 204.30/204.32 [5943]~P41(x59432)+~P41(x59431)+P41(f331(f331(f114(f935(a1,a923)),x59431),x59432))
% 204.30/204.32 [5944]~P41(x59442)+~P41(x59441)+P41(f331(f331(f105(f935(a1,a923)),x59441),x59442))
% 204.30/204.32 [5962]~P64(x59621)+~P95(x59621)+E(f331(f79(x59621),f331(f331(f294(x59621),f78(x59621)),x59622)),f331(f331(f294(x59621),f331(f107(x59621),a101)),x59622))
% 204.30/204.32 [6080]E(x60801,f2(a1))+~E(f45(a1,x60802,x60801),f2(a1))+E(f331(f331(f36(a1),f331(f79(a1),x60802)),x60801),f331(f79(a1),f331(f331(f36(a1),x60802),x60801)))
% 204.30/204.32 [6219]~P109(x62191)+P12(x62191,x62192)+P107(f331(f331(f240(a927),f718(x62192,x62191)),f331(f193(f928(x62191)),x62192)))
% 204.30/204.32 [6220]~P109(x62201)+P12(x62201,x62202)+P107(f331(f331(f240(a927),f729(x62202,x62201)),f331(f193(f928(x62201)),x62202)))
% 204.30/204.32 [6379]~P95(x63791)+~E(f331(f107(x63791),x63792),f2(x63791))+P28(x63791,f331(f107(x63791),f331(f331(f80(a1),x63792),f331(f79(a1),a83))))
% 204.30/204.32 [6380]~P95(x63801)+~E(f331(f107(x63801),x63802),f2(x63801))+P28(x63801,f331(f107(x63801),f331(f331(f80(a1),a83),f331(f79(a1),x63802))))
% 204.30/204.32 [6382]E(f331(a51,f47(f331(f79(a1),x63821),f331(f79(a1),x63822))),f46(x63821,x63822))+P107(f331(f331(f239(a1),f2(a1)),x63821))+P107(f331(f331(f240(a1),f2(a1)),x63822))
% 204.30/204.32 [6508]~E(x65082,f2(a927))+~E(x65081,f2(a927))+P107(f331(f331(f239(a1),f331(f104(a1),x65081)),f331(f79(a1),f331(f104(a1),x65082))))
% 204.30/204.32 [6538]E(f331(f331(f80(a927),f331(f107(a927),x65381)),f331(f107(a927),x65382)),f331(f107(a927),f331(f331(f80(a1),x65381),x65382)))+P107(f331(f331(f240(a1),x65381),a83))+P107(f331(f331(f240(a1),x65382),a83))
% 204.30/204.32 [6670]~P77(x66701)+~P107(f331(f331(f239(x66701),f2(x66701)),x66702))+P107(f331(f331(f239(x66701),f331(f79(x66701),x66702)),x66702))
% 204.30/204.32 [6671]~P77(x66711)+~P107(f331(f331(f240(x66711),f2(x66711)),x66712))+P107(f331(f331(f240(x66711),f331(f79(x66711),x66712)),x66712))
% 204.30/204.32 [6845]E(f331(f331(f23(a927),f331(a108,x68451)),f331(a108,x68452)),f331(a108,f331(f331(f23(a1),x68451),x68452)))+~P107(f331(f331(f239(a1),f2(a1)),x68452))+~P107(f331(f331(f239(a1),x68452),x68451))
% 204.30/204.32 [6877]E(f331(a108,f45(a1,f331(f107(a1),x68771),f331(f107(a1),x68772))),f45(a927,f331(f107(a927),x68771),f331(f107(a927),x68772)))+P107(f331(a197,f331(f107(a1),x68771)))+P107(f331(a197,f331(f107(a1),x68772)))
% 204.30/204.32 [6894]~P77(x68941)+P107(f331(f331(f239(x68941),f2(x68941)),x68942))+~P107(f331(f331(f239(x68941),f331(f79(x68941),x68942)),x68942))
% 204.30/204.32 [6895]~P77(x68951)+P107(f331(f331(f240(x68951),f2(x68951)),x68952))+~P107(f331(f331(f240(x68951),f331(f79(x68951),x68952)),x68952))
% 204.30/204.32 [6907]~P77(x69071)+~P107(f331(f331(f239(x69071),f2(x69071)),x69072))+P107(f331(f331(f239(x69071),f2(x69071)),f331(f331(f80(x69071),x69072),x69072)))
% 204.30/204.32 [6909]~P77(x69091)+~P107(f331(f331(f240(x69091),f2(x69091)),x69092))+P107(f331(f331(f240(x69091),f2(x69091)),f331(f331(f80(x69091),x69092),x69092)))
% 204.30/204.32 [6922]E(f331(f331(f80(a927),f331(a108,x69221)),f331(a108,x69222)),f331(a108,f331(f331(f80(a1),x69221),x69222)))+~P107(f331(f331(f239(a1),f2(a1)),x69222))+~P107(f331(f331(f239(a1),f2(a1)),x69221))
% 204.30/204.32 [6933]E(x69331,f2(a927))+P107(f331(f331(f240(a927),f2(a927)),x69332))+~P107(f331(f331(f240(a927),f2(a927)),f331(f331(f248(a927),x69332),x69331)))
% 204.30/204.32 [6965]~P95(x69651)+E(f331(f107(x69651),x69652),f2(x69651))+~P28(x69651,f331(f107(x69651),f331(f331(f80(a1),a83),f331(f79(a1),x69652))))
% 204.30/204.32 [6966]~P95(x69661)+E(f331(f107(x69661),x69662),f2(x69661))+~P28(x69661,f331(f107(x69661),f331(f331(f80(a1),x69662),f331(f79(a1),a83))))
% 204.30/204.32 [7023]~P107(f331(f61(x70231),x70232))+~P107(f331(f61(x70231),f246(f935(x70231,a923))))+P107(f331(f61(x70231),f331(f79(f935(x70231,a923)),x70232)))
% 204.30/204.32 [7046]~P107(f331(f331(f240(a1),f2(a1)),x70462))+~P107(f331(f331(f239(a1),x70462),x70461))+P107(f331(f331(f240(a1),f2(a1)),f331(f331(f36(a1),x70461),x70462)))
% 204.30/204.32 [7047]~P107(f331(f331(f239(a1),x70471),f2(a1)))+~P107(f331(f331(f240(a1),x70472),f2(a1)))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f36(a1),x70471),x70472)))
% 204.30/204.32 [7083]~P107(f331(f331(f239(a1),f2(a1)),x70832))+~P107(f331(f331(f239(a1),f2(a1)),x70831))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f81(a1),x70831),x70832)))
% 204.30/204.32 [7084]~P107(f331(f331(f239(a1),f2(a1)),x70842))+~P107(f331(f331(f239(a1),f2(a1)),x70841))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),x70841),x70842)))
% 204.30/204.32 [7085]~P107(f331(f331(f239(a1),f2(a1)),x70852))+~P107(f331(f331(f239(a1),f2(a1)),x70851))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f36(a1),x70851),x70852)))
% 204.30/204.32 [7086]~P107(f331(f331(f239(a1),f2(a1)),x70861))+~P107(f331(f331(f240(a1),f2(a1)),x70862))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f36(a1),x70861),x70862)))
% 204.30/204.32 [7087]~P107(f331(f331(f240(a927),f2(a927)),x70872))+~P107(f331(f331(f240(a927),f2(a927)),x70871))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f81(a927),x70871),x70872)))
% 204.30/204.32 [7151]E(x71511,f2(a1))+E(f45(a1,x71512,x71511),f2(a1))+E(f331(f331(f23(a1),f331(f79(a1),f331(f331(f36(a1),x71512),x71511))),f78(a1)),f331(f331(f36(a1),f331(f79(a1),x71512)),x71511))
% 204.30/204.32 [7208]P107(f331(f331(f240(a927),f2(a927)),x72081))+P107(f331(f331(f240(a927),f2(a927)),x72082))+~P107(f331(f331(f240(a927),f2(a927)),f331(f331(f80(a927),x72082),x72081)))
% 204.30/204.32 [7212]~P77(x72121)+P107(f331(f331(f239(x72121),f2(x72121)),x72122))+~P107(f331(f331(f239(x72121),f2(x72121)),f331(f331(f80(x72121),x72122),x72122)))
% 204.30/204.32 [7213]~P77(x72131)+P107(f331(f331(f240(x72131),f2(x72131)),x72132))+~P107(f331(f331(f240(x72131),f2(x72131)),f331(f331(f80(x72131),x72132),x72132)))
% 204.30/204.32 [7266]~P107(f331(f61(x72661),x72662))+P107(f331(f61(x72661),f246(f935(x72661,a923))))+~P107(f331(f61(x72661),f331(f79(f935(x72661,a923)),x72662)))
% 204.30/204.32 [7330]P107(f331(f331(f239(a1),x73301),f2(a1)))+~P107(f331(f331(f240(a1),x73302),f2(a1)))+~P107(f331(f331(f239(a1),f2(a1)),f331(f331(f36(a1),x73301),x73302)))
% 204.30/204.32 [7336]~P107(f331(f331(f240(a1),f2(a1)),x73361))+P107(f331(f331(f239(a1),x73361),x73362))+~P107(f331(f331(f240(a1),f2(a1)),f331(f331(f36(a1),x73362),x73361)))
% 204.30/204.32 [7337]~P107(f331(f331(f239(a1),f2(a1)),x73372))+P107(f331(f331(f239(a1),x73371),x73372))+~P107(f331(f331(f240(a1),f2(a1)),f331(f331(f36(a1),x73372),x73371)))
% 204.30/204.32 [7367]P107(f331(f331(f239(a1),f2(a1)),x73671))+~P107(f331(f331(f240(a1),f2(a1)),x73672))+~P107(f331(f331(f239(a1),f2(a1)),f331(f331(f36(a1),x73671),x73672)))
% 204.30/204.32 [7368]P107(f331(f331(f240(a1),f2(a1)),x73681))+~P107(f331(f331(f239(a1),f2(a1)),x73682))+~P107(f331(f331(f240(a1),f2(a1)),f331(f331(f36(a1),x73682),x73681)))
% 204.30/204.32 [7809]~P107(f331(f61(x78092),f246(f935(x78092,a923))))+~P107(f331(f61(x78091),f246(f935(x78091,a923))))+P107(f331(f61(f933(x78091,x78092)),f246(f935(f933(x78091,x78092),a923))))
% 204.30/204.32 [7810]~P107(f331(f61(x78102),f246(f935(x78102,a923))))+~P107(f331(f61(x78101),f246(f935(x78101,a923))))+P107(f331(f61(f934(x78101,x78102)),f246(f935(f934(x78101,x78102),a923))))
% 204.30/204.32 [7880]~P107(f331(f331(f240(a927),f331(a116,f2(a927))),x78801))+~P107(f331(f331(f240(a927),f331(a116,f2(a927))),x78802))+P107(f331(f331(f240(a927),x78801),f331(f331(f81(a927),x78802),x78801)))
% 204.30/204.32 [7881]~P107(f331(f331(f240(a927),f331(a116,f2(a927))),x78811))+~P107(f331(f331(f240(a927),f331(a116,f2(a927))),x78812))+P107(f331(f331(f240(a927),x78811),f331(f331(f81(a927),x78811),x78812)))
% 204.30/204.32 [7915]E(f331(f35(x79151),f246(f935(x79151,a923))),f331(a116,f2(a927)))+P107(f331(f61(x79152),f246(f935(x79152,a923))))+~P107(f331(f61(f935(x79152,x79151)),f246(f935(f935(x79152,x79151),a923))))
% 204.30/204.32 [8045]~P107(f331(f331(f239(a927),f331(a116,f2(a927))),x80451))+~P107(f331(f331(f239(a927),f331(a116,f2(a927))),x80452))+P107(f331(f331(f239(a927),f331(a116,f2(a927))),f331(f331(f81(a927),x80451),x80452)))
% 204.30/204.32 [8046]~P107(f331(f331(f240(a927),f331(a116,f2(a927))),x80462))+~P107(f331(f331(f240(a927),f331(a116,f2(a927))),x80461))+P107(f331(f331(f240(a927),f331(a116,f2(a927))),f331(f331(f81(a927),x80461),x80462)))
% 204.30/204.32 [8736]E(x87361,f117(x87362))+~P107(f331(f141(x87362),x87361))+E(f181(x87362,f331(f331(f8(a923,a923,x87362),a326),f331(f331(f7(x87362,x87362,a923),a328),f148(x87362,x87361))),x87361),f118(x87362,x87361))
% 204.30/204.32 [8834]~P41(x88342)+~P41(x88341)+E(f331(f314(a927,a1,f104(a1)),f331(f331(f114(f935(a927,a923)),f331(f314(a1,a927,a108),x88341)),f331(f314(a1,a927,a108),x88342))),f331(f331(f114(f935(a1,a923)),x88341),x88342))
% 204.30/204.32 [8835]~P41(x88352)+~P41(x88351)+E(f331(f314(a927,a1,f104(a1)),f331(f331(f105(f935(a927,a923)),f331(f314(a1,a927,a108),x88351)),f331(f314(a1,a927,a108),x88352))),f331(f331(f105(f935(a1,a923)),x88351),x88352))
% 204.30/204.32 [9506]~P95(x95061)+~E(f331(f107(x95061),x95062),f78(x95061))+P28(x95061,f331(f107(x95061),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f79(a1),x95062))))
% 204.30/204.32 [9760]~P95(x97601)+E(f331(f107(x97601),x97602),f78(x97601))+~P28(x97601,f331(f107(x97601),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f79(a1),x97602))))
% 204.30/204.32 [10516]E(x105161,f2(a1))+E(x105162,f2(a1))+E(f331(f262(a1,a1,a1,a1,f32(a1),f331(f81(a1),f82(a1,x105162))),f331(f331(f331(f100(f934(a1,a1)),f331(f331(a328,f82(a1,x105161)),f82(a1,x105162))),f53(x105161,x105162)),f331(f331(f261(a1,a1,f934(a1,a1)),f331(f331(f18(a1,f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),f331(f331(f8(f935(a1,f935(f934(a1,a1),f934(a1,a1))),f935(f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),a1),f18(a1,f934(a1,a1),f934(a1,a1))),f331(f331(f8(f934(a1,a1),f935(a1,f935(f934(a1,a1),f934(a1,a1))),a1),f331(f7(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f331(f331(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f100(f934(a1,a1))),f331(f331(f7(a1,a1,a923),a328),f2(a1))))),f331(f331(f7(a1,a1,f934(a1,a1)),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f79(a1))),f2(a1))))),f331(f331(f7(a1,f935(a1,a1),f935(a1,f934(a1,a1))),f331(f331(f8(f935(a1,f934(a1,a1)),f935(f935(a1,a1),f935(a1,f934(a1,a1))),a1),f8(a1,f934(a1,a1),a1)),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f331(f331(f7(a1,a1,a1),f331(f331(f8(a1,f935(a1,a1),a1),f23(a1)),f79(a1))),f78(a1))))),f331(f23(a1),f331(f76(a1),x105162))))),f53(x105161,x105162)))),f46(x105161,x105162))
% 204.30/204.32 [10517]E(x105171,f2(a1))+E(x105172,f2(a1))+E(f331(f262(a1,a1,a1,a1,f32(a1),f331(f81(a1),f82(a1,x105172))),f331(f331(f331(f100(f934(a1,a1)),f331(f331(a330,f331(f331(a329,f331(f331(f240(a1),f2(a1)),x105172)),f331(f331(f239(a1),f2(a1)),x105171))),f331(f331(a329,f331(f331(f240(a1),x105172),f2(a1))),f331(f331(f240(a1),x105171),f2(a1))))),f53(x105171,x105172)),f331(f331(f261(a1,a1,f934(a1,a1)),f331(f331(f18(a1,f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),f331(f331(f8(f935(a1,f935(f934(a1,a1),f934(a1,a1))),f935(f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),a1),f18(a1,f934(a1,a1),f934(a1,a1))),f331(f331(f8(f934(a1,a1),f935(a1,f935(f934(a1,a1),f934(a1,a1))),a1),f331(f7(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f331(f331(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f100(f934(a1,a1))),f331(f331(f7(a1,a1,a923),a328),f2(a1))))),f331(f331(f7(a1,a1,f934(a1,a1)),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f79(a1))),f2(a1))))),f331(f331(f7(a1,f935(a1,a1),f935(a1,f934(a1,a1))),f331(f331(f8(f935(a1,f934(a1,a1)),f935(f935(a1,a1),f935(a1,f934(a1,a1))),a1),f8(a1,f934(a1,a1),a1)),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f331(f331(f7(a1,a1,a1),f331(f331(f8(a1,f935(a1,a1),a1),f23(a1)),f79(a1))),f78(a1))))),f331(f23(a1),f331(f76(a1),x105172))))),f53(x105171,x105172)))),f46(x105171,x105172))
% 204.30/204.32 [10519]~P29(a5000)+P23(a924,x105191,f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),a328),x105192),f198(x105192))),f192(f935(f926(a924),a923))))+~P23(a924,x105191,f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),f331(f331(f8(f935(a924,f935(a924,a923)),f935(a924,a923),a924),f331(f8(f935(a924,a923),a923,a924),f88(a924))),f331(f331(f8(f935(a924,a923),f935(a924,f935(a924,a923)),a924),f331(f7(a924,f935(a924,a923),f935(a924,a923)),f331(f331(f8(f935(a924,f935(a923,a923)),f935(f935(a924,a923),f935(a924,a923)),a924),f18(a924,a923,a923)),f331(f331(f8(f935(a924,a923),f935(a924,f935(a923,a923)),a924),f331(f8(a923,f935(a923,a923),a924),a334)),f198(x105192))))),a328))),x105192),a328)),f192(f935(f926(a924),a923))))
% 204.30/204.32 [5951]~P114(x59511)+~P95(x59511)+E(f331(f76(x59511),f331(f331(f248(x59511),f331(f107(x59511),a101)),x59512)),f78(x59511))
% 204.30/204.32 [6449]~P144(x64491)+~P107(f331(f331(f240(a1),x64492),f2(a1)))+E(f331(f79(x64491),f331(f104(x64491),f331(a108,f331(f79(a1),x64492)))),f331(f106(x64491),x64492))
% 204.32/204.32 [6654]P107(f331(f331(f239(a103),x66541),f78(a103)))+E(f331(f331(f80(a103),f78(a103)),f276(x66541,f331(f331(f36(a103),x66542),x66541))),f276(x66541,x66542))+P107(f331(f331(f240(a103),x66542),x66541))
% 204.32/204.32 [7253]~P94(x72531)+~P107(f331(f331(f333(x72531),x72532),f113(x72531)))+~E(f331(f331(f80(x72531),f331(f331(f80(x72531),f78(x72531)),x72532)),x72532),f2(x72531))
% 204.32/204.32 [7369]~P107(f331(f331(f239(a1),x73692),f2(a1)))+~P107(f331(f331(f240(a1),x73691),f2(a1)))+E(f331(f255(a1,a1),f331(a51,f47(f331(f79(a1),x73691),f331(f79(a1),x73692)))),f331(f331(f36(a1),x73691),x73692))
% 204.32/204.32 [7386]~P107(f331(f331(f239(a1),x73862),f2(a1)))+~P107(f331(f331(f240(a1),x73861),f2(a1)))+E(f331(f260(a1,a1),f331(a51,f47(f331(f79(a1),x73861),f331(f79(a1),x73862)))),f45(a1,x73861,x73862))
% 204.32/204.32 [7392]~P107(f331(f331(f240(a1),x73922),f2(a1)))+E(f331(f255(a1,a1),f331(a51,f50(f331(f79(a1),x73921),f331(f79(a1),x73922)))),f331(f331(f36(a1),x73921),x73922))+~P107(f331(f331(f240(a1),f2(a1)),x73921))
% 204.32/204.32 [7410]~P107(f331(f331(f240(a1),x74102),f2(a1)))+E(f331(f260(a1,a1),f331(a51,f50(f331(f79(a1),x74101),f331(f79(a1),x74102)))),f45(a1,x74101,x74102))+~P107(f331(f331(f240(a1),f2(a1)),x74101))
% 204.32/204.32 [7463]E(f331(f331(f36(a1),f331(f331(f248(a1),x74631),x74632)),x74631),f331(f331(f248(a1),x74631),f331(f331(f23(a927),x74632),f331(a116,f2(a927)))))+~P107(f331(f331(f240(a927),f2(a927)),x74632))+~P107(f331(f331(f240(a1),f2(a1)),x74631))
% 204.32/204.32 [7564]~P107(f331(f331(f240(a927),f2(a927)),x75641))+~P107(f331(f331(f240(a927),f2(a927)),x75642))+P107(f331(f331(f240(a927),f331(f331(f23(a927),x75641),x75642)),x75641))
% 204.32/204.32 [7565]~P107(f331(f331(f240(a927),f2(a927)),x75651))+~P107(f331(f331(f240(a927),f78(a927)),x75652))+P107(f331(f331(f240(a927),f331(f331(f36(a927),x75651),x75652)),x75651))
% 204.32/204.32 [7566]~P107(f331(f331(f240(a1),f2(a1)),x75661))+~P107(f331(f331(f240(a1),f78(a1)),x75662))+P107(f331(f331(f240(a1),f331(f331(f36(a1),x75661),x75662)),x75661))
% 204.32/204.32 [7705]E(x77051,f2(a927))+~E(x77052,f2(a1))+~P107(f331(f331(f240(a1),f2(a1)),f331(f331(f248(a1),f331(f76(a1),x77052)),x77051)))
% 204.32/204.32 [8124]~E(x81242,f117(f928(x81241)))+E(f331(f193(f928(f928(x81241))),f183(x81241,x81242)),f2(a927))+~P12(a927,f331(f172(a927),f331(f331(f158(f928(x81241),a927),f193(f928(x81241))),x81242)))
% 204.32/204.32 [8378]P107(f331(x83781,x83782))+~P107(f331(x83781,f331(a110,f572(x83781,x83782))))+~P107(f331(f331(f333(f935(f934(a927,a927),a923)),x83782),a102))
% 204.32/204.32 [8394]E(x83941,f117(f928(x83942)))+E(f331(f193(f928(x83942)),f331(f331(f168(f928(x83942)),x83941),f2(a927))),f331(f193(f928(f928(x83942))),f183(x83942,x83941)))+~P12(a927,f331(f172(a927),f331(f331(f158(f928(x83942),a927),f193(f928(x83942))),x83941)))
% 204.32/204.32 [8535]~P39(x85351,x85352)+~P40(x85351,x85352)+P39(x85351,f331(f331(f23(f935(f934(x85351,x85351),a923)),x85352),f311(x85351,f192(f935(f934(x85351,x85351),a923)))))
% 204.32/204.32 [9119]~P107(f331(f61(x91191),f331(f266(x91191),x91192)))+~P107(f331(f61(x91191),f246(f935(x91191,a923))))+P107(f331(f61(x91191),f331(f266(x91191),f331(f331(f8(a923,a923,x91191),a326),x91192))))
% 204.32/204.32 [9185]E(f331(f331(f256(a927,a927),f331(a116,f331(f331(f36(a927),f331(f331(f23(a927),x91851),x91852)),x91852))),f45(a927,f331(f331(f23(a927),x91851),x91852),x91852)),f85(f934(a927,a927),f48(x91851,x91852)))+~P107(f331(f331(f240(a927),f2(a927)),x91852))+~P107(f331(f331(f239(a927),x91852),x91851))
% 204.32/204.32 [9471]~P107(f331(f61(x94711),f331(f266(x94711),x94712)))+P107(f331(f61(x94711),f246(f935(x94711,a923))))+~P107(f331(f61(x94711),f331(f266(x94711),f331(f331(f8(a923,a923,x94711),a326),x94712))))
% 204.32/204.32 [10201]P26(x102011,x102012)+~P38(x102011,f331(f255(f935(f934(x102011,x102011),a923),f935(f934(x102011,x102011),a923)),x102012))+~P107(f331(f331(f239(f935(f934(x102011,x102011),a923)),f331(f331(f293(x102011,x102011,x102011),f331(f255(f935(f934(x102011,x102011),a923),f935(f934(x102011,x102011),a923)),x102012)),f331(f260(f935(f934(x102011,x102011),a923),f935(f934(x102011,x102011),a923)),x102012))),f331(f255(f935(f934(x102011,x102011),a923),f935(f934(x102011,x102011),a923)),x102012)))
% 204.32/204.32 [7493]~P107(f331(f331(f240(a927),f2(a927)),x74932))+P107(f331(f331(f240(a927),x74931),x74932))+E(f331(a116,f331(f331(f36(a927),f331(f331(f23(a927),x74931),x74932)),x74932)),f331(f331(f36(a927),x74931),x74932))
% 204.32/204.32 [7630]~P107(f331(f331(f240(a927),f2(a927)),x76302))+~P107(f331(f331(f239(a927),x76302),x76301))+E(f331(a116,f331(f331(f36(a927),f331(f331(f23(a927),x76301),x76302)),x76302)),f331(f331(f36(a927),x76301),x76302))
% 204.32/204.32 [8599]~P95(x85991)+~P94(x85991)+~P28(x85991,f331(f107(x85991),f331(f331(f23(a1),f331(f331(f80(a1),x85992),x85992)),a101)))
% 204.32/204.32 [9377]E(x93771,f2(a927))+E(f331(f331(f261(a927,a927,f934(a927,a927)),f331(f331(f8(a927,f935(a927,f934(a927,a927)),a927),f256(a927,a927)),a116)),f85(f934(a927,a927),f48(f331(f331(f23(a927),x93772),x93771),x93771))),f85(f934(a927,a927),f48(x93772,x93771)))+P107(f331(f331(f240(a927),x93772),x93771))
% 204.32/204.32 [9561]~P39(x95611,x95612)+~P52(x95611,x95612)+P107(f331(f331(f239(f935(f934(x95611,x95611),a923)),f331(f331(f293(x95611,x95611,x95611),f331(f290(x95611,x95611),x95612)),x95612)),x95612))
% 204.32/204.32 [9824]P107(f331(x98242,f645(x98242,x98241)))+P107(f331(x98241,f645(x98242,x98241)))+E(f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x98241)),f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x98242)))
% 204.32/204.32 [9828]~P107(f331(x98282,f645(x98282,x98281)))+~P107(f331(x98281,f645(x98282,x98281)))+E(f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x98281)),f331(f266(a1),f331(f331(f18(a1,a923,a923),f331(f331(f8(a923,f935(a923,a923),a1),a329),f331(f239(a1),f2(a1)))),x98282)))
% 204.32/204.32 [10371]~P107(f331(f331(f291(a927),x103712),x103711))+P107(f331(f331(f291(a927),x103711),x103712))+P107(f331(f331(f333(a927),x103711),f298(a927,f331(f331(f18(a927,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),a927),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),a927),f331(f8(a923,f935(a923,a923),a927),a329)),f291(a927)))),f331(f331(f8(f935(a927,a923),f935(a927,a923),a927),f331(f8(a923,a923,a927),a326)),f331(f7(a927,a927,a923),f291(a927)))),x103712)))
% 204.32/204.32 [10372]~P107(f331(f331(f291(a927),x103722),x103721))+P107(f331(f331(f291(a927),x103721),x103722))+P107(f331(f331(f333(a927),x103722),f302(a927,f331(f331(f18(a927,f935(a927,a923),f935(a927,a923)),f331(f331(f8(f935(a927,f935(a923,a923)),f935(f935(a927,a923),f935(a927,a923)),a927),f18(a927,a923,a923)),f331(f331(f8(f935(a927,a923),f935(a927,f935(a923,a923)),a927),f331(f8(a923,f935(a923,a923),a927),a329)),f291(a927)))),f331(f331(f8(f935(a927,a923),f935(a927,a923),a927),f331(f8(a923,a923,a927),a326)),f331(f7(a927,a927,a923),f291(a927)))),x103721)))
% 204.32/204.32 [7838]~P65(x78381)+~P95(x78381)+E(f331(f331(f294(x78381),x78382),f331(f107(x78381),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))),x78382)
% 204.32/204.32 [9505]~P95(x95051)+~E(f331(f107(x95051),x95052),f78(x95051))+P28(x95051,f331(f107(x95051),f331(f331(f80(a1),x95052),f331(f79(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.32/204.32 [9693]~P143(x96931)+~E(x96932,f78(x96931))+E(f331(f331(f248(x96931),x96932),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x96931))
% 204.32/204.32 [9694]~P143(x96941)+~E(x96942,f2(x96941))+E(f331(f331(f248(x96941),x96942),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(x96941))
% 204.32/204.32 [9709]~P143(x97091)+~E(x97092,f331(f79(x97091),f78(x97091)))+E(f331(f331(f248(x97091),x97092),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x97091))
% 204.32/204.32 [9761]~P95(x97611)+E(f331(f107(x97611),x97612),f78(x97611))+~P28(x97611,f331(f107(x97611),f331(f331(f80(a1),x97612),f331(f79(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.32/204.32 [10143]~P114(x101432)+E(x101431,f2(x101432))+P107(f331(f331(f240(x101432),f2(x101432)),f331(f331(f248(x101432),x101431),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.32/204.32 [10200]~P114(x102002)+~E(x102001,f2(x102002))+~P107(f331(f331(f240(x102002),f2(x102002)),f331(f331(f248(x102002),x102001),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.32/204.32 [10225]P107(f331(f331(f239(a1),x102251),f2(a1)))+P107(f331(f331(f240(a1),x102252),x102251))+E(f331(f43(x102251),f47(x102252,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102251))),f47(x102252,x102251))
% 204.32/204.32 [10226]~P107(f331(f331(f240(a1),f2(a1)),x102261))+P107(f331(f331(f240(a1),x102262),x102261))+E(f331(f43(x102261),f47(x102262,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102261))),f47(x102262,x102261))
% 204.32/204.32 [10227]P107(f331(f331(f239(a1),x102271),f2(a1)))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),x102272),x102271)))+E(f331(f43(x102271),f50(x102272,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102271))),f50(x102272,x102271))
% 204.32/204.32 [10228]~P107(f331(f331(f240(a1),f2(a1)),x102281))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),x102282),x102281)))+E(f331(f43(x102281),f50(x102282,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102281))),f50(x102282,x102281))
% 204.32/204.32 [10229]~P147(x102291)+~P107(f331(f331(f239(a1),f2(a1)),x102292))+E(f331(f104(x102291),f331(a108,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x102292))),f331(f331(f80(x102291),f331(f104(x102291),f331(a108,x102292))),f331(f104(x102291),f331(a108,x102292))))
% 204.32/204.32 [5285]~P148(x52851,x52853,x52852)+~E(x52853,f2(a1))+P107(f331(x52851,x52852))
% 204.32/204.32 [5410]~P109(x54101)+~P12(x54101,x54103)+P12(x54101,f174(x54101,x54102,x54103))
% 204.32/204.32 [5411]~P109(x54111)+~P12(x54111,x54113)+P12(x54111,f181(x54111,x54112,x54113))
% 204.32/204.32 [4977]~P76(x49772)+~E(x49773,f331(f79(x49772),x49771))+E(x49771,f331(f79(x49772),x49773))
% 204.32/204.32 [4979]~P76(x49791)+~E(f331(f79(x49791),x49793),x49792)+E(f331(f79(x49791),x49792),x49793)
% 204.32/204.32 [5059]~P109(x50593)+E(x50591,x50592)+~E(f331(f286(x50593),x50591),f331(f286(x50593),x50592))
% 204.32/204.32 [5060]~P104(x50603)+E(x50601,x50602)+~E(f331(f104(x50603),x50601),f331(f104(x50603),x50602))
% 204.32/204.32 [5061]~P109(x50613)+E(x50611,x50612)+~E(f331(f305(x50613),x50611),f331(f305(x50613),x50612))
% 204.32/204.32 [5062]~P109(x50623)+E(x50621,x50622)+~E(f331(f308(x50623),x50621),f331(f308(x50623),x50622))
% 204.32/204.32 [5063]~P109(x50633)+E(x50631,x50632)+~E(f331(f287(x50633),x50631),f331(f287(x50633),x50632))
% 204.32/204.32 [5064]~P76(x50643)+E(x50641,x50642)+~E(f331(f79(x50643),x50641),f331(f79(x50643),x50642))
% 204.32/204.32 [5065]~P97(x50653)+E(x50651,x50652)+~E(f331(f79(x50653),x50651),f331(f79(x50653),x50652))
% 204.32/204.32 [5066]~P94(x50663)+E(x50661,x50662)+~E(f331(f106(x50663),x50661),f331(f106(x50663),x50662))
% 204.32/204.32 [5168]~P63(x51681)+~P107(f331(x51682,x51683))+P107(f331(f56(x51681),x51682))
% 204.32/204.32 [5204]~P63(x52043)+P107(f331(x52041,x52042))+~P107(f331(f57(x52043),x52041))
% 204.32/204.32 [5305]~P149(x53051,x53052,x53053)+~E(x53052,f2(a1))+P107(f331(x53051,f2(a1)))
% 204.32/204.32 [5344]~E(x53441,f2(a927))+E(f341(x53441,x53442,x53443),f192(f935(x53443,a923)))+~E(f331(f35(x53443),x53442),f331(a116,x53441))
% 204.32/204.32 [5495]~E(x54952,f2(a927))+E(f331(f255(a927,a927),x54951),f2(a927))+~P107(f331(f48(x54953,x54952),x54951))
% 204.32/204.32 [5538]P107(f331(x55381,x55382))+~E(x55383,f331(f104(a1),x55382))+~P107(f331(x55381,f331(a108,x55383)))
% 204.32/204.32 [6015]~E(x60153,f2(a927))+~P107(f331(x60151,x60152))+P107(f331(x60151,f45(a927,x60152,x60153)))
% 204.32/204.32 [6248]~P105(x62482)+~P105(x62481)+E(f135(x62481,x62482,f136(x62481,x62483),f136(x62482,x62483)),f136(f934(x62481,x62482),x62483))
% 204.32/204.32 [6430]~E(x64303,f2(a927))+P107(f331(x64301,x64302))+~P107(f331(x64301,f45(a927,x64302,x64303)))
% 204.32/204.32 [6919]E(x69191,f192(f935(x69192,a923)))+~P107(f331(f61(x69192),x69191))+P107(f331(f62(x69192,x69193,x69191),f870(x69193,x69191,x69192)))
% 204.32/204.32 [7108]E(x71081,f2(a927))+~P107(f331(x71082,f380(x71081,x71083,x71082)))+P107(f331(x71082,f45(a927,x71083,x71081)))
% 204.32/204.32 [7218]~P4(x72181)+~P107(f331(f331(f239(x72181),x72182),f366(x72183,x72182,x72181)))+P107(f331(f331(f239(x72181),x72182),f38(x72181,x72183)))
% 204.32/204.32 [7220]~P107(f331(x72201,x72202))+~P107(f331(x72201,f380(x72203,x72202,x72201)))+P107(f331(x72201,f45(a927,x72202,x72203)))
% 204.32/204.32 [7324]E(x73241,f117(x73242))+E(f331(f331(f155(x73242),f698(x73243,x73241,x73242)),f701(x73243,x73241,x73242)),x73241)+~P107(f331(f331(f333(f928(x73242)),x73241),f165(x73242,x73243)))
% 204.32/204.32 [7356]~P144(x73561)+~P107(f331(f331(f333(x73561),x73562),f113(x73561)))+P107(f331(f331(f333(x73561),f331(f331(f248(x73561),x73562),x73563)),f113(x73561)))
% 204.32/204.32 [7676]P38(x76761,x76762)+~P107(f331(f331(f333(x76761),x76763),f621(x76762,x76761)))+P107(f331(f331(f333(x76761),f644(x76762,x76761,x76763)),f621(x76762,x76761)))
% 204.32/204.32 [7943]E(x79431,f117(x79432))+~P107(f331(f331(f333(f928(x79432)),x79431),f165(x79432,x79433)))+P107(f331(f331(f333(f928(x79432)),f701(x79433,x79431,x79432)),f165(x79432,x79433)))
% 204.32/204.32 [7996]E(x79961,f2(a927))+E(f331(f331(f80(a927),f331(f331(f81(a927),x79961),f381(x79961,x79962,x79963))),f380(x79961,x79962,x79963)),x79962)+P107(f331(x79963,f45(a927,x79962,x79961)))
% 204.32/204.32 [8040]~P107(f331(x80403,x80402))+E(f331(f331(f80(a927),f331(f331(f81(a927),x80401),f381(x80401,x80402,x80403))),f380(x80401,x80402,x80403)),x80402)+P107(f331(x80403,f45(a927,x80402,x80401)))
% 204.32/204.32 [8179]P107(f331(f331(f240(a1),x81791),f358(x81792,x81793,x81791)))+P107(f331(f331(x81793,f331(f331(f36(a1),x81792),x81791)),f45(a1,x81792,x81791)))+~P107(f331(f331(f240(a1),x81791),f2(a1)))
% 204.32/204.32 [8450]P107(f331(f331(x84502,f331(f331(f36(a1),x84501),x84503)),f45(a1,x84501,x84503)))+~P107(f331(f331(f240(a1),x84503),f2(a1)))+P107(f331(f331(f239(a1),f358(x84501,x84502,x84503)),f2(a1)))
% 204.32/204.32 [8633]E(f331(f331(f80(a1),f331(f331(f81(a1),x86331),f361(x86332,x86333,x86331))),f358(x86332,x86333,x86331)),x86332)+P107(f331(f331(x86333,f331(f331(f36(a1),x86332),x86331)),f45(a1,x86332,x86331)))+~P107(f331(f331(f240(a1),x86331),f2(a1)))
% 204.32/204.32 [8882]~P107(f331(f331(x88821,f361(x88822,x88821,x88823)),f358(x88822,x88821,x88823)))+P107(f331(f331(x88821,f331(f331(f36(a1),x88822),x88823)),f45(a1,x88822,x88823)))+~P107(f331(f331(f240(a1),x88823),f2(a1)))
% 204.32/204.32 [9132]~P109(x91321)+~P12(x91321,x91323)+P12(x91321,f153(x91321,x91321,f5(x91321),x91322,x91323))
% 204.32/204.32 [9640]~P129(x96402)+E(x96401,f2(x96402))+~P107(f331(f331(f239(x96402),f331(f331(f80(x96402),f331(f331(f81(x96402),x96403),x96403)),f331(f331(f81(x96402),x96401),x96401))),f2(x96402)))
% 204.32/204.32 [9641]~P129(x96412)+E(x96411,f2(x96412))+~P107(f331(f331(f239(x96412),f331(f331(f80(x96412),f331(f331(f81(x96412),x96411),x96411)),f331(f331(f81(x96412),x96413),x96413))),f2(x96412)))
% 204.32/204.32 [10447]~P114(x104471)+~P107(f331(f331(f240(x104471),x104472),f2(x104471)))+P107(f331(f331(f240(x104471),f331(f331(f248(x104471),x104472),f331(a116,f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x104473)))),f2(x104471)))
% 204.32/204.32 [10457]~P114(x104572)+E(x104571,f2(x104572))+~P107(f331(f331(f239(x104572),f331(f331(f80(x104572),f331(f331(f248(x104572),x104573),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x104572),x104571),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x104572)))
% 204.32/204.32 [10458]~P114(x104582)+E(x104581,f2(x104582))+~P107(f331(f331(f239(x104582),f331(f331(f80(x104582),f331(f331(f248(x104582),x104581),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x104582),x104583),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x104582)))
% 204.32/204.32 [5013]~E(x50132,x50133)+~P68(x50131)+E(f331(f331(f23(x50131),x50132),x50133),f2(x50131))
% 204.32/204.32 [5014]~E(x50142,x50143)+~P76(x50141)+E(f331(f331(f23(x50141),x50142),x50143),f2(x50141))
% 204.32/204.32 [5027]~P145(x50271)+~E(x50273,f2(x50271))+E(f331(f331(f80(x50271),x50272),x50273),x50272)
% 204.32/204.32 [5045]~P142(x50451)+~E(x50453,f2(x50451))+E(f331(f331(f81(x50451),x50452),x50453),f2(x50451))
% 204.32/204.32 [5046]~P142(x50461)+~E(x50462,f2(x50461))+E(f331(f331(f81(x50461),x50462),x50463),f2(x50461))
% 204.32/204.32 [5068]~E(x50683,f117(x50681))+~E(x50682,f117(x50681))+E(f331(f331(f138(x50681),x50682),x50683),f117(x50681))
% 204.32/204.32 [5158]~P145(x51582)+E(x51581,f2(x51582))+~E(f331(f331(f80(x51582),x51583),x51581),x51583)
% 204.32/204.32 [5159]~P76(x51591)+~E(x51592,f331(f79(x51591),x51593))+E(f331(f331(f80(x51591),x51592),x51593),f2(x51591))
% 204.32/204.32 [5166]E(x51661,f117(x51662))+E(x51663,f2(a927))+~E(f331(f331(f179(x51662),x51663),x51661),f117(x51662))
% 204.32/204.32 [5172]~P68(x51723)+E(x51721,x51722)+~E(f331(f331(f23(x51723),x51721),x51722),f2(x51723))
% 204.32/204.32 [5173]~P76(x51733)+E(x51731,x51732)+~E(f331(f331(f23(x51733),x51731),x51732),f2(x51733))
% 204.32/204.32 [5186]~P143(x51862)+E(x51861,f2(x51862))+~E(f331(f331(f248(x51862),x51861),x51863),f2(x51862))
% 204.32/204.32 [5187]~P80(x51872)+E(x51871,f192(x51872))+~E(f331(f331(f114(x51872),x51873),x51871),f192(x51872))
% 204.32/204.32 [5188]~P80(x51882)+E(x51881,f192(x51882))+~E(f331(f331(f114(x51882),x51881),x51883),f192(x51882))
% 204.32/204.32 [5189]~P101(x51892)+E(x51891,f246(x51892))+~E(f331(f331(f105(x51892),x51893),x51891),f246(x51892))
% 204.32/204.32 [5190]~P101(x51902)+E(x51901,f246(x51902))+~E(f331(f331(f105(x51902),x51901),x51903),f246(x51902))
% 204.32/204.32 [5259]~P76(x52592)+E(x52591,f331(f79(x52592),x52593))+~E(f331(f331(f80(x52592),x52591),x52593),f2(x52592))
% 204.32/204.32 [5260]~P76(x52601)+E(f331(f79(x52601),x52602),x52603)+~E(f331(f331(f80(x52601),x52602),x52603),f2(x52601))
% 204.32/204.32 [5262]~E(x52622,x52623)+~P108(x52621)+P107(f331(f331(f239(x52621),x52622),x52623))
% 204.32/204.32 [5264]~E(x52642,x52643)+~P111(x52641)+P107(f331(f331(f239(x52641),x52642),x52643))
% 204.32/204.32 [5362]~P122(x53621)+~E(x53622,f331(f79(x53621),x53623))+E(f331(f331(f81(x53621),x53622),x53622),f331(f331(f81(x53621),x53623),x53623))
% 204.32/204.32 [5370]~P109(x53701)+~P12(x53701,x53703)+P12(x53701,f331(f331(f179(x53701),x53702),x53703))
% 204.32/204.32 [5371]~P109(x53711)+~P12(x53711,x53713)+P12(x53711,f331(f331(f142(x53711),x53712),x53713))
% 204.32/204.32 [5408]E(x54081,x54082)+E(x54083,f2(a927))+~E(f331(f331(f81(a927),x54083),x54081),f331(f331(f81(a927),x54083),x54082))
% 204.32/204.32 [5409]E(x54091,x54092)+E(x54093,f2(a927))+~E(f331(f331(f81(a927),x54091),x54093),f331(f331(f81(a927),x54092),x54093))
% 204.32/204.32 [5488]~E(x54882,x54883)+~P111(x54881)+E(f307(x54881,x54882,x54883),f331(f331(f313(x54881),x54882),f192(f935(x54881,a923))))
% 204.32/204.32 [5536]~E(x55361,x55362)+~P109(x55363)+~P107(f331(f331(f240(x55363),x55361),x55362))
% 204.32/204.32 [5537]~E(x55371,x55372)+~P111(x55373)+~P107(f331(f331(f240(x55373),x55371),x55372))
% 204.32/204.32 [5549]~P111(x55491)+E(f331(f306(x55491,x55492),x55493),f192(f935(x55491,a923)))+P107(f331(f331(f240(x55491),x55492),x55493))
% 204.32/204.32 [5597]~P111(x55971)+E(f307(x55971,x55972,x55973),f192(f935(x55971,a923)))+P107(f331(f331(f239(x55971),x55972),x55973))
% 204.32/204.32 [5598]~P111(x55981)+E(f309(x55981,x55982,x55983),f192(f935(x55981,a923)))+P107(f331(f331(f240(x55981),x55982),x55983))
% 204.32/204.32 [5599]~P111(x55991)+E(f192(f935(x55991,a923)),f307(x55991,x55992,x55993))+P107(f331(f331(f239(x55991),x55992),x55993))
% 204.32/204.32 [5600]~P111(x56001)+E(f192(f935(x56001,a923)),f309(x56001,x56002,x56003))+P107(f331(f331(f240(x56001),x56002),x56003))
% 204.32/204.32 [5607]~P102(x56071)+~E(f331(f331(f114(x56071),x56072),x56073),x56073)+P107(f331(f331(f239(x56071),x56072),x56073))
% 204.32/204.32 [5608]~P103(x56081)+~E(f331(f331(f105(x56081),x56082),x56083),x56082)+P107(f331(f331(f239(x56081),x56082),x56083))
% 204.32/204.32 [5609]~P109(x56091)+~E(f331(f331(f237(x56091),x56092),x56093),x56092)+P107(f331(f331(f239(x56091),x56092),x56093))
% 204.32/204.32 [5610]~P109(x56101)+~E(f331(f331(f238(x56101),x56102),x56103),x56103)+P107(f331(f331(f239(x56101),x56102),x56103))
% 204.32/204.32 [5629]~P109(x56291)+P12(x56291,x56292)+~P12(x56291,f331(f331(f155(x56291),x56293),x56292))
% 204.32/204.32 [5630]~P109(x56301)+P12(x56301,x56302)+~P12(x56301,f331(f331(f138(x56301),x56303),x56302))
% 204.32/204.32 [5631]~P109(x56311)+P12(x56311,x56312)+~P12(x56311,f331(f331(f138(x56311),x56312),x56313))
% 204.32/204.32 [5696]~P109(x56961)+P107(f331(f331(f239(x56961),x56963),x56962))+P107(f331(f331(f239(x56961),x56962),x56963))
% 204.32/204.32 [5701]~P109(x57011)+P107(f331(f331(f240(x57011),x57013),x57012))+P107(f331(f331(f239(x57011),x57012),x57013))
% 204.32/204.32 [5739]~P102(x57391)+E(f331(f331(f114(x57391),x57392),x57393),x57392)+~P107(f331(f331(f239(x57391),x57393),x57392))
% 204.32/204.32 [5741]~P102(x57411)+E(f331(f331(f114(x57411),x57412),x57413),x57413)+~P107(f331(f331(f239(x57411),x57412),x57413))
% 204.32/204.32 [5742]~P103(x57421)+E(f331(f331(f105(x57421),x57422),x57423),x57423)+~P107(f331(f331(f239(x57421),x57423),x57422))
% 204.32/204.32 [5744]~P103(x57441)+E(f331(f331(f105(x57441),x57442),x57443),x57442)+~P107(f331(f331(f239(x57441),x57442),x57443))
% 204.32/204.32 [5745]~P109(x57451)+E(f331(f331(f237(x57451),x57452),x57453),x57453)+~P107(f331(f331(f239(x57451),x57453),x57452))
% 204.32/204.32 [5747]~P109(x57471)+E(f331(f331(f237(x57471),x57472),x57473),x57472)+~P107(f331(f331(f239(x57471),x57472),x57473))
% 204.32/204.32 [5748]~P109(x57481)+E(f331(f331(f238(x57481),x57482),x57483),x57482)+~P107(f331(f331(f239(x57481),x57483),x57482))
% 204.32/204.32 [5750]~P109(x57501)+E(f331(f331(f238(x57501),x57502),x57503),x57503)+~P107(f331(f331(f239(x57501),x57502),x57503))
% 204.32/204.32 [5757]~P124(x57572)+E(x57571,f2(x57572))+E(f331(f331(f294(x57572),f331(f79(x57572),x57573)),f331(f79(x57572),x57571)),f331(f331(f294(x57572),x57573),x57571))
% 204.32/204.32 [5808]~P111(x58081)+E(f331(f306(x58081,x58082),x58083),f192(f935(x58081,a923)))+~P107(f331(f331(f239(x58081),x58083),x58082))
% 204.32/204.32 [5840]~P111(x58401)+E(f307(x58401,x58402,x58403),f192(f935(x58401,a923)))+~P107(f331(f331(f240(x58401),x58403),x58402))
% 204.32/204.32 [5841]~P111(x58411)+E(f309(x58411,x58412,x58413),f192(f935(x58411,a923)))+~P107(f331(f331(f239(x58411),x58413),x58412))
% 204.32/204.32 [5842]~P111(x58421)+E(f310(x58421,x58422,x58423),f192(f935(x58421,a923)))+~P107(f331(f331(f239(x58421),x58423),x58422))
% 204.32/204.32 [5894]~E(f331(f331(f23(a927),x58941),x58943),x58942)+E(x58941,f331(f331(f80(a927),x58942),x58943))+~P107(f331(f331(f239(a927),x58943),x58941))
% 204.32/204.32 [5895]~E(x58951,f331(f331(f80(a927),x58953),x58952))+E(f331(f331(f23(a927),x58951),x58952),x58953)+~P107(f331(f331(f239(a927),x58952),x58951))
% 204.32/204.32 [5940]~P107(f331(x59401,x59403))+P107(f331(x59401,f392(x59401,x59402)))+~P107(f331(f331(f239(a927),x59403),x59402))
% 204.32/204.32 [5941]~P107(f331(x59411,x59413))+P107(f331(x59411,f395(x59411,x59412)))+~P107(f331(f331(f240(a927),x59413),x59412))
% 204.32/204.32 [5949]~P111(x59491)+~E(f331(f306(x59491,x59492),x59493),f192(f935(x59491,a923)))+~P107(f331(f331(f240(x59491),x59492),x59493))
% 204.32/204.32 [5954]~P108(x59541)+~P107(f331(f331(f240(x59541),x59542),x59543))+P107(f331(f331(f239(x59541),x59542),x59543))
% 204.32/204.32 [5956]~P111(x59561)+~P107(f331(f331(f240(x59561),x59562),x59563))+P107(f331(f331(f239(x59561),x59562),x59563))
% 204.32/204.32 [6065]~P111(x60651)+~E(f307(x60651,x60652,x60653),f192(f935(x60651,a923)))+~P107(f331(f331(f239(x60651),x60652),x60653))
% 204.32/204.32 [6066]~P111(x60661)+~E(f309(x60661,x60662,x60663),f192(f935(x60661,a923)))+~P107(f331(f331(f240(x60661),x60662),x60663))
% 204.32/204.32 [6067]~P111(x60671)+~E(f192(f935(x60671,a923)),f307(x60671,x60672,x60673))+~P107(f331(f331(f239(x60671),x60672),x60673))
% 204.32/204.32 [6068]~P111(x60681)+~E(f192(f935(x60681,a923)),f309(x60681,x60682,x60683))+~P107(f331(f331(f240(x60681),x60682),x60683))
% 204.32/204.32 [6078]P107(f331(x60781,x60782))+~P107(f331(x60781,f393(x60781,x60783)))+~P107(f331(f331(f239(a927),x60782),x60783))
% 204.32/204.32 [6079]P107(f331(x60791,x60792))+~P107(f331(x60791,f396(x60791,x60793)))+~P107(f331(f331(f240(a927),x60792),x60793))
% 204.32/204.32 [6087]~E(x60871,f331(a116,x60873))+P107(f331(f331(f240(a927),x60871),f331(a116,x60872)))+~P107(f331(f331(f240(a927),x60873),x60872))
% 204.32/204.32 [6106]E(x61061,x61062)+~E(f331(f331(f81(a927),x61063),x61061),f331(f331(f81(a927),x61063),x61062))+~P107(f331(f331(f240(a927),f2(a927)),x61063))
% 204.32/204.32 [6162]E(f331(x61621,f911(x61621,x61622,x61623)),f78(a927))+~E(f331(f331(f6(x61623,a927),x61621),x61622),f78(a927))+~P107(f331(f61(x61623),x61622))
% 204.32/204.32 [6178]~P4(x61781)+P107(f331(f331(f239(x61781),x61782),f37(x61781,x61783)))+~P107(f331(f331(f333(x61781),x61782),x61783))
% 204.32/204.32 [6202]~P108(x62021)+~P107(f331(f331(f240(x62021),x62023),x62022))+~P107(f331(f331(f239(x62021),x62022),x62023))
% 204.32/204.32 [6206]~P108(x62061)+~P107(f331(f331(f240(x62061),x62063),x62062))+~P107(f331(f331(f240(x62061),x62062),x62063))
% 204.32/204.32 [6209]~P109(x62091)+~P107(f331(f331(f240(x62091),x62093),x62092))+~P107(f331(f331(f239(x62091),x62092),x62093))
% 204.32/204.32 [6210]~P109(x62101)+~P107(f331(f331(f240(x62101),x62103),x62102))+~P107(f331(f331(f240(x62101),x62102),x62103))
% 204.32/204.32 [6211]~P111(x62111)+~P107(f331(f331(f240(x62111),x62113),x62112))+~P107(f331(f331(f240(x62111),x62112),x62113))
% 204.32/204.32 [6240]~E(f331(x62402,f912(x62402,x62403,x62401)),f2(a927))+E(f331(f331(f6(x62401,a927),x62402),x62403),f2(a927))+~P107(f331(f61(x62401),x62403))
% 204.32/204.32 [6241]~E(f331(x62412,f883(x62412,x62413,x62411)),f78(a927))+E(f331(f331(f9(x62411,a927),x62412),x62413),f78(a927))+~P107(f331(f61(x62411),x62413))
% 204.32/204.32 [6257]~P110(x62571)+~P107(f331(f331(f240(x62571),x62573),x62572))+P107(f331(f331(f333(x62571),x62572),f331(f308(x62571),x62573)))
% 204.32/204.32 [6258]~P110(x62581)+~P107(f331(f331(f239(x62581),x62583),x62582))+P107(f331(f331(f333(x62581),x62582),f331(f287(x62581),x62583)))
% 204.32/204.32 [6259]~P110(x62591)+~P107(f331(f331(f240(x62591),x62592),x62593))+P107(f331(f331(f333(x62591),x62592),f331(f286(x62591),x62593)))
% 204.32/204.32 [6260]~P110(x62601)+~P107(f331(f331(f239(x62601),x62602),x62603))+P107(f331(f331(f333(x62601),x62602),f331(f305(x62601),x62603)))
% 204.32/204.32 [6272]E(f331(x62721,f914(x62721,x62722,x62723)),f331(a116,f2(a927)))+~E(f331(f331(f6(x62723,a927),x62721),x62722),f331(a116,f2(a927)))+~P107(f331(f61(x62723),x62722))
% 204.32/204.32 [6357]~P4(x63571)+~P107(f331(f331(f333(x63571),x63573),x63572))+P107(f331(f331(f239(x63571),f38(x63571,x63572)),x63573))
% 204.32/204.32 [6376]~P107(f331(f331(f239(a927),x63761),x63763))+P107(f331(f331(f239(a927),x63761),x63762))+~P107(f331(f331(f239(a927),x63763),x63762))
% 204.32/204.32 [6377]~P107(f331(f331(f239(a1),x63771),x63773))+P107(f331(f331(f239(a1),x63771),x63772))+~P107(f331(f331(f239(a1),x63773),x63772))
% 204.32/204.32 [6397]~P110(x63971)+~P107(f331(f331(f333(x63971),x63973),f331(f287(x63971),x63972)))+P107(f331(f331(f239(x63971),x63972),x63973))
% 204.32/204.32 [6398]~P110(x63981)+~P107(f331(f331(f333(x63981),x63982),f331(f305(x63981),x63983)))+P107(f331(f331(f239(x63981),x63982),x63983))
% 204.32/204.32 [6399]~P110(x63991)+~P107(f331(f331(f333(x63991),x63993),f331(f308(x63991),x63992)))+P107(f331(f331(f240(x63991),x63992),x63993))
% 204.32/204.32 [6400]~P110(x64001)+~P107(f331(f331(f333(x64001),x64002),f331(f286(x64001),x64003)))+P107(f331(f331(f240(x64001),x64002),x64003))
% 204.32/204.32 [6474]~P107(f331(x64741,x64742))+P107(f331(x64741,f787(x64741)))+~P107(f331(f331(f333(x64743),x64742),f246(f935(x64743,a923))))
% 204.32/204.32 [6514]P107(f331(x65141,x65142))+~P107(f331(x65141,f586(x65141)))+~P107(f331(f331(f333(x65143),x65142),f246(f935(x65143,a923))))
% 204.32/204.32 [6617]~P66(x66171)+P107(f331(f331(f240(x66171),f2(x66171)),f353(x66173,x66172,x66171)))+P107(f331(f331(f239(x66171),x66172),x66173))
% 204.32/204.32 [6618]~P67(x66181)+P107(f331(f331(f240(x66181),f2(x66181)),f776(x66183,x66182,x66181)))+P107(f331(f331(f239(x66181),x66182),x66183))
% 204.32/204.32 [6687]~P81(x66871)+~P107(f331(f331(f239(x66871),x66873),f331(f79(x66871),x66872)))+P107(f331(f331(f239(x66871),x66872),f331(f79(x66871),x66873)))
% 204.32/204.32 [6689]~P81(x66891)+~P107(f331(f331(f240(x66891),x66893),f331(f79(x66891),x66892)))+P107(f331(f331(f240(x66891),x66892),f331(f79(x66891),x66893)))
% 204.32/204.32 [6701]~P107(f331(f331(f240(a927),x67011),x67013))+~P107(f331(f331(f240(a927),x67013),x67012))+P107(f331(f331(f240(a927),f331(a116,x67011)),x67012))
% 204.32/204.32 [6727]~P127(x67271)+P107(f331(f331(f239(x67271),f331(f104(x67271),x67272)),f331(f104(x67271),x67273)))+~P107(f331(f331(f239(a927),x67272),x67273))
% 204.32/204.32 [6728]~P114(x67281)+P107(f331(f331(f239(x67281),f331(f106(x67281),x67282)),f331(f106(x67281),x67283)))+~P107(f331(f331(f239(a1),x67282),x67283))
% 204.32/204.32 [6730]~P114(x67301)+P107(f331(f331(f240(x67301),f331(f106(x67301),x67302)),f331(f106(x67301),x67303)))+~P107(f331(f331(f240(a1),x67302),x67303))
% 204.32/204.32 [6731]~P127(x67311)+P107(f331(f331(f240(x67311),f331(f104(x67311),x67312)),f331(f104(x67311),x67313)))+~P107(f331(f331(f240(a927),x67312),x67313))
% 204.32/204.32 [6737]~P109(x67371)+E(f331(f331(f114(f935(x67371,a923)),f331(f286(x67371),x67372)),f331(f306(x67371,x67372),x67373)),f331(f286(x67371),x67373))+~P107(f331(f331(f239(x67371),x67372),x67373))
% 204.32/204.32 [6767]~P81(x67671)+~P107(f331(f331(f239(x67671),x67673),x67672))+P107(f331(f331(f239(x67671),f331(f79(x67671),x67672)),f331(f79(x67671),x67673)))
% 204.32/204.32 [6769]~P97(x67691)+~P107(f331(f331(f239(x67691),x67693),x67692))+P107(f331(f331(f239(x67691),f331(f79(x67691),x67692)),f331(f79(x67691),x67693)))
% 204.32/204.32 [6770]~P81(x67701)+~P107(f331(f331(f240(x67701),x67703),x67702))+P107(f331(f331(f240(x67701),f331(f79(x67701),x67702)),f331(f79(x67701),x67703)))
% 204.32/204.32 [6803]~P109(x68031)+E(f331(f331(f114(f935(x68031,a923)),f331(f286(x68031),x68032)),f307(x68031,x68032,x68033)),f331(f305(x68031),x68033))+~P107(f331(f331(f239(x68031),x68032),x68033))
% 204.32/204.32 [6804]~P109(x68041)+E(f331(f331(f114(f935(x68041,a923)),f331(f305(x68041),x68042)),f309(x68041,x68042,x68043)),f331(f305(x68041),x68043))+~P107(f331(f331(f239(x68041),x68042),x68043))
% 204.32/204.32 [6805]~P109(x68051)+E(f331(f331(f114(f935(x68051,a923)),f331(f305(x68051),x68052)),f310(x68051,x68052,x68053)),f331(f286(x68051),x68053))+~P107(f331(f331(f240(x68051),x68052),x68053))
% 204.32/204.32 [6840]~P109(x68401)+E(f331(f331(f114(f935(x68401,a923)),f331(f306(x68401,x68402),x68403)),f331(f287(x68401),x68403)),f331(f287(x68401),x68402))+~P107(f331(f331(f239(x68401),x68402),x68403))
% 204.32/204.32 [6993]~P109(x69931)+E(f331(f331(f114(f935(x69931,a923)),f307(x69931,x69932,x69933)),f331(f308(x69931),x69933)),f331(f287(x69931),x69932))+~P107(f331(f331(f239(x69931),x69932),x69933))
% 204.32/204.32 [6994]~P109(x69941)+E(f331(f331(f114(f935(x69941,a923)),f309(x69941,x69942,x69943)),f331(f308(x69941),x69943)),f331(f308(x69941),x69942))+~P107(f331(f331(f239(x69941),x69942),x69943))
% 204.32/204.32 [6995]~P109(x69951)+E(f331(f331(f114(f935(x69951,a923)),f310(x69951,x69952,x69953)),f331(f287(x69951),x69953)),f331(f308(x69951),x69952))+~P107(f331(f331(f240(x69951),x69952),x69953))
% 204.32/204.32 [7014]P107(f331(x70141,x70142))+~P107(f331(f331(f239(a927),x70142),x70143))+P107(f331(f331(f333(a927),f393(x70141,x70143)),f307(a927,f2(a927),x70143)))
% 204.32/204.32 [7048]E(x70481,x70482)+~E(f331(f331(f168(x70483),x70481),f647(x70483,x70482,x70481)),f331(f331(f168(x70483),x70482),f647(x70483,x70482,x70481)))+~E(f331(f193(f928(x70483)),x70481),f331(f193(f928(x70483)),x70482))
% 204.32/204.32 [7053]~E(x70533,f331(f331(f36(a927),x70531),x70532))+~P107(f331(f331(f240(a927),f2(a927)),x70532))+P107(f331(f331(f240(a927),x70531),f331(f331(f81(a927),x70532),f331(a116,x70533))))
% 204.32/204.32 [7069]~P107(f331(x70691,x70693))+~P107(f331(f331(f239(a927),x70693),x70692))+P107(f331(f331(f333(a927),f392(x70691,x70692)),f307(a927,f2(a927),x70692)))
% 204.32/204.32 [7106]~P107(f331(x71061,x71063))+P107(f331(x71061,f398(x71061,x71062)))+~P107(f331(f331(f333(a927),x71063),f307(a927,f2(a927),x71062)))
% 204.32/204.32 [7124]~P127(x71243)+~P107(f331(f331(f239(x71243),f331(f104(x71243),x71241)),f331(f104(x71243),x71242)))+P107(f331(f331(f239(a927),x71241),x71242))
% 204.32/204.32 [7125]~P114(x71253)+~P107(f331(f331(f239(x71253),f331(f106(x71253),x71251)),f331(f106(x71253),x71252)))+P107(f331(f331(f239(a1),x71251),x71252))
% 204.32/204.32 [7127]~P127(x71273)+~P107(f331(f331(f240(x71273),f331(f104(x71273),x71271)),f331(f104(x71273),x71272)))+P107(f331(f331(f240(a927),x71271),x71272))
% 204.32/204.32 [7128]~P114(x71283)+~P107(f331(f331(f240(x71283),f331(f106(x71283),x71281)),f331(f106(x71283),x71282)))+P107(f331(f331(f240(a1),x71281),x71282))
% 204.32/204.32 [7145]~P127(x71451)+~P107(f331(f331(f240(x71451),f78(x71451)),x71452))+P107(f331(f331(f240(x71451),f78(x71451)),f331(f331(f248(x71451),x71452),f331(a116,x71453))))
% 204.32/204.32 [7147]~P81(x71471)+~P107(f331(f331(f239(x71471),f331(f79(x71471),x71473)),f331(f79(x71471),x71472)))+P107(f331(f331(f239(x71471),x71472),x71473))
% 204.32/204.32 [7148]~P97(x71481)+~P107(f331(f331(f239(x71481),f331(f79(x71481),x71483)),f331(f79(x71481),x71482)))+P107(f331(f331(f239(x71481),x71482),x71483))
% 204.32/204.32 [7149]~P81(x71491)+~P107(f331(f331(f240(x71491),f331(f79(x71491),x71493)),f331(f79(x71491),x71492)))+P107(f331(f331(f240(x71491),x71492),x71493))
% 204.32/204.32 [7175]P107(f331(x71751,x71752))+~P107(f331(x71751,f394(x71751,x71753)))+~P107(f331(f331(f333(a927),x71752),f307(a927,f2(a927),x71753)))
% 204.32/204.32 [7196]~P66(x71961)+P107(f331(f331(f240(x71961),f353(x71963,x71962,x71961)),f78(x71961)))+P107(f331(f331(f239(x71961),x71962),x71963))
% 204.32/204.32 [7215]~E(f45(a927,x72153,x72152),f45(a927,x72151,x72152))+E(f331(f331(f80(a927),x72151),f331(f331(f81(a927),x72152),f462(x72151,x72152,x72153))),x72153)+~P107(f331(f331(f239(a927),x72151),x72153))
% 204.32/204.32 [7272]E(f331(f331(f6(x72721,a927),x72722),x72723),f2(a927))+~P107(f331(f61(x72721),x72723))+P107(f331(f331(f333(x72721),f912(x72722,x72723,x72721)),x72723))
% 204.32/204.32 [7273]E(f331(f331(f9(x72731,a927),x72732),x72733),f78(a927))+~P107(f331(f61(x72731),x72733))+P107(f331(f331(f333(x72731),f883(x72732,x72733,x72731)),x72733))
% 204.32/204.32 [7295]~P109(x72951)+~P107(f331(f331(f239(x72951),x72952),x72953))+P107(f331(f331(f239(f935(x72951,a923)),f331(f286(x72951),x72952)),f331(f286(x72951),x72953)))
% 204.32/204.32 [7296]~P111(x72961)+~P107(f331(f331(f239(x72961),x72962),x72963))+P107(f331(f331(f239(f935(x72961,a923)),f331(f305(x72961),x72962)),f331(f305(x72961),x72963)))
% 204.32/204.32 [7297]~P109(x72971)+~P107(f331(f331(f239(x72971),x72973),x72972))+P107(f331(f331(f239(f935(x72971,a923)),f331(f308(x72971),x72972)),f331(f308(x72971),x72973)))
% 204.32/204.32 [7298]~P111(x72981)+~P107(f331(f331(f239(x72981),x72983),x72982))+P107(f331(f331(f239(f935(x72981,a923)),f331(f287(x72981),x72982)),f331(f287(x72981),x72983)))
% 204.32/204.32 [7299]~P109(x72991)+~P107(f331(f331(f240(x72991),x72992),x72993))+P107(f331(f331(f240(f935(x72991,a923)),f331(f286(x72991),x72992)),f331(f286(x72991),x72993)))
% 204.32/204.32 [7310]~P4(x73101)+P107(f331(f331(f239(x73101),x73102),f38(x73101,x73103)))+P107(f331(f331(f333(x73101),f366(x73103,x73102,x73101)),x73103))
% 204.32/204.32 [7316]~P81(x73161)+P107(f331(f331(f239(x73161),f331(f331(f23(x73161),x73162),x73163)),f2(x73161)))+~P107(f331(f331(f239(x73161),x73162),x73163))
% 204.32/204.32 [7317]~P81(x73171)+P107(f331(f331(f240(x73171),f331(f331(f23(x73171),x73172),x73173)),f2(x73171)))+~P107(f331(f331(f240(x73171),x73172),x73173))
% 204.32/204.32 [7359]P107(f331(x73591,x73592))+P107(f331(f331(f239(a927),f394(x73591,x73593)),x73593))+~P107(f331(f331(f333(a927),x73592),f307(a927,f2(a927),x73593)))
% 204.32/204.32 [7399]~E(f331(f331(f6(x73991,a927),x73992),x73993),f78(a927))+~P107(f331(f61(x73991),x73993))+P107(f331(f331(f333(x73991),f911(x73992,x73993,x73991)),x73993))
% 204.32/204.32 [7400]~P107(f331(x74001,x74003))+P107(f331(f331(f239(a927),f398(x74001,x74002)),x74002))+~P107(f331(f331(f333(a927),x74003),f307(a927,f2(a927),x74002)))
% 204.32/204.32 [7440]~P4(x74401)+P107(f331(f331(f333(x74401),f885(x74403,x74402,x74401)),x74402))+P107(f331(f331(f239(x74401),f37(x74401,x74402)),x74403))
% 204.32/204.32 [7474]~E(f331(f331(f6(x74741,a927),x74742),x74743),f331(a116,f2(a927)))+~P107(f331(f61(x74741),x74743))+P107(f331(f331(f333(x74741),f914(x74742,x74743,x74741)),x74743))
% 204.32/204.32 [7485]E(x74851,f2(a927))+P107(f331(x74852,f45(a927,x74853,x74851)))+P107(f331(f331(f240(a927),f380(x74851,x74853,x74852)),x74851))
% 204.32/204.32 [7593]~P107(f331(x75931,x75932))+P107(f331(x75931,f45(a927,x75932,x75933)))+P107(f331(f331(f240(a927),f380(x75933,x75932,x75931)),x75933))
% 204.32/204.32 [7709]E(x77091,f117(x77092))+~P107(f331(f331(f333(f928(x77092)),x77091),f165(x77092,x77093)))+P107(f331(f331(f333(x77092),f698(x77093,x77091,x77092)),x77093))
% 204.32/204.32 [7732]~P109(x77321)+E(f331(f331(f114(f935(x77321,a923)),f331(f331(f313(x77321),x77322),f192(f935(x77321,a923)))),f310(x77321,x77322,x77323)),f331(f306(x77321,x77322),x77323))+~P107(f331(f331(f240(x77321),x77322),x77323))
% 204.32/204.32 [7754]~P109(x77541)+E(f331(f331(f114(f935(x77541,a923)),f331(f331(f313(x77541),x77542),f192(f935(x77541,a923)))),f309(x77541,x77542,x77543)),f307(x77541,x77542,x77543))+~P107(f331(f331(f239(x77541),x77542),x77543))
% 204.32/204.32 [7860]~P109(x78601)+P107(f331(f331(f239(x78601),x78602),x78603))+~P107(f331(f331(f239(f935(x78601,a923)),f331(f308(x78601),x78603)),f331(f308(x78601),x78602)))
% 204.32/204.32 [7861]~P111(x78611)+P107(f331(f331(f239(x78611),x78612),x78613))+~P107(f331(f331(f239(f935(x78611,a923)),f331(f287(x78611),x78613)),f331(f287(x78611),x78612)))
% 204.32/204.32 [7862]~P109(x78621)+P107(f331(f331(f239(x78621),x78622),x78623))+~P107(f331(f331(f239(f935(x78621,a923)),f331(f286(x78621),x78622)),f331(f286(x78621),x78623)))
% 204.32/204.32 [7863]~P111(x78631)+P107(f331(f331(f239(x78631),x78632),x78633))+~P107(f331(f331(f239(f935(x78631,a923)),f331(f305(x78631),x78632)),f331(f305(x78631),x78633)))
% 204.32/204.32 [7864]~P109(x78641)+P107(f331(f331(f240(x78641),x78642),x78643))+~P107(f331(f331(f240(f935(x78641,a923)),f331(f286(x78641),x78642)),f331(f286(x78641),x78643)))
% 204.32/204.32 [7887]~P81(x78871)+~P107(f331(f331(f239(x78871),f331(f331(f23(x78871),x78872),x78873)),f2(x78871)))+P107(f331(f331(f239(x78871),x78872),x78873))
% 204.32/204.32 [7888]~P81(x78881)+~P107(f331(f331(f240(x78881),f331(f331(f23(x78881),x78882),x78883)),f2(x78881)))+P107(f331(f331(f240(x78881),x78882),x78883))
% 204.32/204.32 [8047]E(x80471,f2(a927))+~E(f331(f146(a927,a927,f80(a927),x80472),x80473),f2(a927))+~P107(f331(f331(f333(a927),x80471),f331(f176(a927),x80473)))
% 204.32/204.32 [8051]~P4(x80511)+~P107(f331(f331(f239(x80511),f885(x80513,x80512,x80511)),x80513))+P107(f331(f331(f239(x80511),f37(x80511,x80512)),x80513))
% 204.32/204.32 [8204]P107(f331(f331(f239(a1),f2(a1)),f359(x82041,x82042,x82043)))+P107(f331(f331(x82042,f331(f331(f36(a1),x82041),x82043)),f45(a1,x82041,x82043)))+~P107(f331(f331(f240(a1),f2(a1)),x82043))
% 204.32/204.32 [8298]E(x82981,x82982)+~E(f331(f193(f928(x82983)),x82981),f331(f193(f928(x82983)),x82982))+~P107(f331(f331(f261(x82983,x82983,a923),a328),f672(x82983,x82981,x82982)))
% 204.32/204.32 [8365]~P38(x83652,x83653)+E(x83651,f192(f935(x83652,a923)))+~P107(f331(f331(f239(f935(x83652,a923)),x83651),f331(f289(x83652,x83652,x83653),x83651)))
% 204.32/204.32 [8396]~P67(x83961)+~P107(f331(f331(f239(x83961),x83962),f331(f331(f80(x83961),x83963),f776(x83963,x83962,x83961))))+P107(f331(f331(f239(x83961),x83962),x83963))
% 204.32/204.32 [8432]P53(x84321,x84322,x84323)+P107(f331(f331(f333(x84321),f577(x84323,x84322,x84321)),x84322))+P107(f331(f331(f333(f934(x84321,x84321)),f578(x84323,x84322,x84321)),x84323))
% 204.32/204.32 [8453]P107(f331(f331(x84532,f331(f331(f36(a1),x84531),x84533)),f45(a1,x84531,x84533)))+~P107(f331(f331(f240(a1),f2(a1)),x84533))+P107(f331(f331(f240(a1),f359(x84531,x84532,x84533)),x84533))
% 204.32/204.32 [8477]E(f331(f314(a927,a927,f331(f331(f7(a927,a927,a927),f23(a927)),x84771)),f331(f306(a927,x84772),x84773)),f192(f935(a927,a923)))+P107(f331(f331(f240(a927),x84771),x84773))+P107(f331(f331(f240(a927),x84772),x84773))
% 204.32/204.32 [8588]E(f331(f314(a927,a927,f331(f331(f7(a927,a927,a927),f23(a927)),x85881)),f331(f306(a927,x85882),x85883)),f331(f331(f313(a927),f2(a927)),f192(f935(a927,a923))))+P107(f331(f331(f240(a927),x85881),x85883))+~P107(f331(f331(f240(a927),x85882),x85883))
% 204.32/204.32 [8602]~P109(x86021)+E(f153(x86021,x86021,f5(x86021),x86022,x86023),x86023)+~P107(f331(f331(f333(x86021),x86022),f331(f176(x86021),x86023)))
% 204.32/204.32 [8615]P24(x86151,x86151,x86152,x86153)+~P107(f331(f61(x86151),x86153))+~P107(f331(f331(f239(f935(x86151,a923)),x86153),f331(f314(x86151,x86151,x86152),x86153)))
% 204.32/204.32 [8640]E(f331(f331(f80(a1),f331(f331(f81(a1),x86401),f360(x86402,x86403,x86401))),f359(x86402,x86403,x86401)),x86402)+P107(f331(f331(x86403,f331(f331(f36(a1),x86402),x86401)),f45(a1,x86402,x86401)))+~P107(f331(f331(f240(a1),f2(a1)),x86401))
% 204.32/204.32 [8889]~P107(f331(f331(x88891,f360(x88892,x88891,x88893)),f359(x88892,x88891,x88893)))+P107(f331(f331(x88891,f331(f331(f36(a1),x88892),x88893)),f45(a1,x88892,x88893)))+~P107(f331(f331(f240(a1),f2(a1)),x88893))
% 204.32/204.32 [9792]~P107(f331(f61(x97921),x97922))+~P107(f331(f331(f333(x97921),x97923),x97922))+P107(f331(f331(f240(a927),f331(f35(x97921),f331(f331(f23(f935(x97921,a923)),x97922),f331(f331(f313(x97921),x97923),f192(f935(x97921,a923)))))),f331(f35(x97921),x97922)))
% 204.32/204.32 [10386]P53(x103861,x103862,x103863)+~P107(f331(f331(f261(x103861,x103861,a923),f331(f331(f7(x103861,f935(x103861,a923),f935(x103861,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x103861,a923),f935(x103861,a923)),x103861),f8(a923,a923,x103861)),f331(f331(f8(a923,f935(a923,a923),x103861),a329),f331(f331(f7(x103861,f935(x103861,a923),a923),f333(x103861)),x103862)))),f331(f331(f7(x103861,f935(x103861,a923),a923),f333(x103861)),x103862))),f578(x103863,x103862,x103861)))+P107(f331(f331(f333(x103861),f577(x103863,x103862,x103861)),x103862))
% 204.32/204.32 [5718]~P124(x57182)+E(x57181,f2(x57182))+E(f331(f331(f294(x57182),x57183),f331(f79(x57182),x57181)),f331(f79(x57182),f331(f331(f294(x57182),x57183),x57181)))
% 204.32/204.32 [5856]~E(x58563,f192(f935(x58561,a923)))+~E(x58562,f192(f935(x58561,a923)))+E(f331(f331(f114(f935(x58561,a923)),x58562),x58563),f192(f935(x58561,a923)))
% 204.32/204.32 [5914]~E(x59143,f2(a927))+~P107(f331(x59141,f2(a927)))+P107(f331(x59141,f331(f331(f36(a927),x59142),x59143)))
% 204.32/204.32 [6057]~P67(x60572)+E(x60571,f2(x60572))+E(f331(f331(f294(x60572),f331(f76(x60572),x60573)),f331(f76(x60572),x60571)),f331(f76(x60572),f331(f331(f294(x60572),x60573),x60571)))
% 204.32/204.32 [6229]~P107(f331(f61(x62291),x62293))+E(f331(f35(x62291),f331(f331(f313(x62291),x62292),x62293)),f331(a116,f331(f35(x62291),x62293)))+P107(f331(f331(f333(x62291),x62292),x62293))
% 204.32/204.32 [6305]~E(x63052,f2(a927))+P107(f331(x63051,f2(a927)))+~P107(f331(x63051,f331(f331(f36(a927),x63053),x63052)))
% 204.32/204.32 [6322]~P107(f331(f61(x63221),x63223))+E(f331(f35(x63221),f331(f331(f313(x63221),x63222),x63223)),f331(f35(x63221),x63223))+~P107(f331(f331(f333(x63221),x63222),x63223))
% 204.32/204.32 [6359]~P107(f331(f61(x63591),x63593))+E(f331(f35(x63591),f331(f331(f313(x63591),x63592),x63593)),f331(f331(f80(a927),f78(a927)),f331(f35(x63591),x63593)))+P107(f331(f331(f333(x63591),x63592),x63593))
% 204.32/204.32 [6475]E(f331(f331(f80(a927),x64751),f915(x64751,x64752,x64753)),x64752)+~P107(f331(x64753,f2(a927)))+P107(f331(x64753,f331(f331(f23(a927),x64752),x64751)))
% 204.32/204.32 [6476]E(f331(f331(f80(a927),x64761),f916(x64761,x64762,x64763)),x64762)+~P107(f331(x64763,f2(a927)))+P107(f331(x64763,f331(f331(f23(a927),x64762),x64761)))
% 204.32/204.32 [6524]~P4(x65241)+~P107(f331(f61(x65241),x65243))+E(f331(f331(f64(x65241,x65241,f114(x65241)),x65242),x65243),f331(f331(f114(x65241),x65242),f37(x65241,x65243)))
% 204.32/204.32 [6525]~P4(x65251)+~P107(f331(f61(x65251),x65253))+E(f331(f331(f64(x65251,x65251,f105(x65251)),x65252),x65253),f331(f331(f105(x65251),x65252),f38(x65251,x65253)))
% 204.32/204.32 [6531]~P95(x65311)+~E(f331(f107(x65311),x65312),f331(f107(x65311),x65313))+P28(x65311,f331(f107(x65311),f331(f331(f80(a1),x65312),f331(f79(a1),x65313))))
% 204.32/204.32 [6540]~P144(x65401)+E(f331(f331(f23(x65401),f331(f104(x65401),x65402)),f331(f104(x65401),x65403)),f331(f104(x65401),f331(f331(f23(a927),x65402),x65403)))+~P107(f331(f331(f239(a927),x65403),x65402))
% 204.32/204.32 [6628]E(f331(f331(f80(a927),x66281),f915(x66281,x66282,x66283)),x66282)+P107(f331(f331(f240(a927),x66282),x66281))+P107(f331(x66283,f331(f331(f23(a927),x66282),x66281)))
% 204.32/204.32 [6629]E(f331(f331(f80(a927),x66291),f916(x66291,x66292,x66293)),x66292)+P107(f331(f331(f240(a927),x66292),x66291))+P107(f331(x66293,f331(f331(f23(a927),x66292),x66291)))
% 204.32/204.32 [6645]~P114(x66451)+E(f331(f331(f81(x66451),f331(f76(x66451),x66452)),x66453),f331(f76(x66451),f331(f331(f81(x66451),x66452),x66453)))+~P107(f331(f331(f239(x66451),f2(x66451)),x66453))
% 204.32/204.32 [6646]~P66(x66461)+E(f331(f331(f294(x66461),f331(f76(x66461),x66462)),x66463),f331(f76(x66461),f331(f331(f294(x66461),x66462),x66463)))+~P107(f331(f331(f240(x66461),f2(x66461)),x66463))
% 204.32/204.32 [6655]~P79(x66551)+~P107(f331(f61(x66551),x66553))+E(f331(f331(f64(x66551,x66551,f114(x66551)),x66552),x66553),f10(x66551,f331(f331(f313(x66551),x66552),x66553)))
% 204.32/204.32 [6656]~P79(x66561)+~P107(f331(f61(x66561),x66563))+E(f331(f331(f64(x66561,x66561,f105(x66561)),x66562),x66563),f11(x66561,f331(f331(f313(x66561),x66562),x66563)))
% 204.32/204.32 [6657]~P109(x66571)+~P107(f331(f61(x66571),x66573))+E(f331(f331(f64(x66571,x66571,f237(x66571)),x66572),x66573),f14(x66571,f331(f331(f313(x66571),x66572),x66573)))
% 204.32/204.32 [6658]~P109(x66581)+~P107(f331(f61(x66581),x66583))+E(f331(f331(f64(x66581,x66581,f238(x66581)),x66582),x66583),f15(x66581,f331(f331(f313(x66581),x66582),x66583)))
% 204.32/204.32 [6703]E(x67031,f117(x67032))+~E(f183(x67032,x67033),f117(f928(x67032)))+~P107(f331(f331(f333(f928(x67032)),x67031),f331(f176(f928(x67032)),x67033)))
% 204.32/204.32 [6745]~P107(f331(f141(x67451),x67453))+P107(f331(f331(f333(x67451),x67452),f331(f176(x67451),x67453)))+P107(f331(f141(x67451),f331(f331(f155(x67451),x67452),x67453)))
% 204.32/204.32 [6756]~P98(x67561)+~P107(f331(f61(x67561),x67563))+E(f331(f63(x67561,f81(x67561)),f331(f331(f313(x67561),x67562),x67563)),f331(f331(f64(x67561,x67561,f81(x67561)),x67562),x67563))
% 204.32/204.32 [6778]~P109(x67781)+~P107(f331(f61(x67781),x67783))+E(f12(x67781,f238(x67781),f331(f331(f313(x67781),x67782),x67783)),f331(f331(f64(x67781,x67781,f238(x67781)),x67782),x67783))
% 204.32/204.32 [6779]~P109(x67791)+~P107(f331(f61(x67791),x67793))+E(f13(x67791,f237(x67791),f331(f331(f313(x67791),x67792),x67793)),f331(f331(f64(x67791,x67791,f237(x67791)),x67792),x67793))
% 204.32/204.32 [6781]P107(f331(x67811,f2(a927)))+~P107(f331(f331(f240(a927),x67812),x67813))+~P107(f331(x67811,f331(f331(f23(a927),x67812),x67813)))
% 204.32/204.32 [6801]~P88(x68011)+P107(f331(f331(f239(x68011),x68012),x68013))+~P107(f331(f331(f239(x68011),f331(f76(x68011),x68012)),x68013))
% 204.32/204.32 [6802]~P114(x68021)+P107(f331(f331(f240(x68021),x68022),x68023))+~P107(f331(f331(f240(x68021),f331(f76(x68021),x68022)),x68023))
% 204.32/204.32 [6819]E(x68191,f117(x68192))+E(f331(f145(x68192),f331(f331(f142(x68192),x68193),x68191)),f331(f331(f168(x68192),x68191),x68193))+~P107(f331(f331(f240(a927),x68193),f331(f193(f928(x68192)),x68191)))
% 204.32/204.32 [6871]~P107(f331(x68711,x68713))+P107(f331(x68711,f400(x68711,x68712)))+~P107(f331(f331(f333(a927),x68713),f331(f306(a927,f2(a927)),x68712)))
% 204.32/204.32 [6891]P107(f331(x68911,x68912))+~P107(f331(f331(f240(a927),x68912),x68913))+P107(f331(f331(f333(a927),f396(x68911,x68913)),f331(f306(a927,f2(a927)),x68913)))
% 204.32/204.32 [6906]~P127(x69061)+~P107(f331(f331(f239(x69061),f78(x69061)),x69062))+P107(f331(f331(f239(x69061),f78(x69061)),f331(f331(f248(x69061),x69062),x69063)))
% 204.32/204.32 [6908]~P127(x69081)+~P107(f331(f331(f239(x69081),f2(x69081)),x69082))+P107(f331(f331(f239(x69081),f2(x69081)),f331(f331(f248(x69081),x69082),x69083)))
% 204.32/204.32 [6910]~P127(x69101)+~P107(f331(f331(f240(x69101),f2(x69101)),x69102))+P107(f331(f331(f240(x69101),f2(x69101)),f331(f331(f248(x69101),x69102),x69103)))
% 204.32/204.32 [6936]~P107(f331(x69361,x69363))+~P107(f331(f331(f240(a927),x69363),x69362))+P107(f331(f331(f333(a927),f395(x69361,x69362)),f331(f306(a927,f2(a927)),x69362)))
% 204.32/204.32 [6944]P107(f331(f61(x69441),x69442))+~P107(f331(f61(x69441),x69443))+~P107(f331(f331(f239(f935(x69441,a923)),x69442),x69443))
% 204.32/204.32 [6951]P107(f331(x69511,x69512))+~P107(f331(x69511,f397(x69511,x69513)))+~P107(f331(f331(f333(a927),x69512),f331(f306(a927,f2(a927)),x69513)))
% 204.32/204.32 [6962]E(x69621,f2(a927))+P107(f331(x69622,f362(x69621,x69623,x69622)))+~P107(f331(x69622,f331(f331(f36(a927),x69623),x69621)))
% 204.32/204.32 [6969]~P129(x69692)+E(x69691,f2(x69692))+~E(f331(f331(f80(x69692),f331(f331(f81(x69692),x69693),x69693)),f331(f331(f81(x69692),x69691),x69691)),f2(x69692))
% 204.32/204.32 [6970]~P129(x69702)+E(x69701,f2(x69702))+~E(f331(f331(f80(x69702),f331(f331(f81(x69702),x69701),x69701)),f331(f331(f81(x69702),x69703),x69703)),f2(x69702))
% 204.32/204.32 [7015]E(x70151,f2(a927))+~P107(f331(x70152,f363(x70151,x70153,x70152)))+P107(f331(x70152,f331(f331(f36(a927),x70153),x70151)))
% 204.32/204.32 [7020]~P109(x70201)+~P12(x70201,x70203)+P12(x70201,f331(f331(f152(x70201,x70201,f5(x70201)),x70202),x70203))
% 204.32/204.32 [7062]P107(f331(x70621,f362(x70622,x70623,x70621)))+P107(f331(x70621,f2(a927)))+~P107(f331(x70621,f331(f331(f36(a927),x70623),x70622)))
% 204.32/204.32 [7068]~P95(x70681)+E(f331(f107(x70681),x70682),f331(f107(x70681),x70683))+~P28(x70681,f331(f107(x70681),f331(f331(f80(a1),x70682),f331(f79(a1),x70683))))
% 204.32/204.32 [7131]E(x71311,f2(a1))+E(x71312,f2(a1))+~P107(f331(f49(x71312,x71312),f331(f331(f256(a1,a1),x71313),x71311)))
% 204.32/204.32 [7132]E(x71321,f78(a1))+E(x71322,f2(a1))+~P107(f331(f49(x71322,x71322),f331(f331(f256(a1,a1),x71321),x71323)))
% 204.32/204.32 [7146]P107(f331(x71461,x71462))+P107(f331(f331(f240(a927),f397(x71461,x71463)),x71463))+~P107(f331(f331(f333(a927),x71462),f331(f306(a927,f2(a927)),x71463)))
% 204.32/204.32 [7171]~P107(f331(x71711,f915(x71713,x71712,x71711)))+~P107(f331(x71711,f2(a927)))+P107(f331(x71711,f331(f331(f23(a927),x71712),x71713)))
% 204.32/204.32 [7172]~P107(f331(x71721,f916(x71723,x71722,x71721)))+~P107(f331(x71721,f2(a927)))+P107(f331(x71721,f331(f331(f23(a927),x71722),x71723)))
% 204.32/204.32 [7173]~P107(f331(x71731,f363(x71733,x71732,x71731)))+~P107(f331(x71731,f2(a927)))+P107(f331(x71731,f331(f331(f36(a927),x71732),x71733)))
% 204.32/204.32 [7192]~P107(f331(x71921,x71923))+P107(f331(f331(f240(a927),f400(x71921,x71922)),x71922))+~P107(f331(f331(f333(a927),x71923),f331(f306(a927,f2(a927)),x71922)))
% 204.32/204.32 [7193]E(f331(f331(f23(a927),f331(f331(f23(a927),x71931),x71932)),f331(f331(f23(a927),x71933),x71932)),f331(f331(f23(a927),x71931),x71933))+~P107(f331(f331(f239(a927),x71932),x71931))+~P107(f331(f331(f239(a927),x71932),x71933))
% 204.32/204.32 [7228]~P81(x72281)+~P107(f331(f331(f239(x72281),f331(f79(x72281),x72283)),x72282))+P107(f331(f331(f239(x72281),f331(f79(x72281),x72282)),x72283))
% 204.32/204.32 [7230]~P88(x72301)+~P107(f331(f331(f239(x72301),f331(f76(x72301),x72302)),x72303))+P107(f331(f331(f239(x72301),f331(f79(x72301),x72302)),x72303))
% 204.32/204.32 [7232]~P81(x72321)+~P107(f331(f331(f240(x72321),f331(f79(x72321),x72323)),x72322))+P107(f331(f331(f240(x72321),f331(f79(x72321),x72322)),x72323))
% 204.32/204.32 [7233]~P114(x72331)+~P107(f331(f331(f240(x72331),f331(f76(x72331),x72332)),x72333))+P107(f331(f331(f240(x72331),f331(f79(x72331),x72332)),x72333))
% 204.32/204.32 [7267]~P107(f331(x72673,f915(x72672,x72671,x72673)))+P107(f331(f331(f240(a927),x72671),x72672))+P107(f331(x72673,f331(f331(f23(a927),x72671),x72672)))
% 204.32/204.32 [7268]~P107(f331(x72683,f916(x72682,x72681,x72683)))+P107(f331(f331(f240(a927),x72681),x72682))+P107(f331(x72683,f331(f331(f23(a927),x72681),x72682)))
% 204.32/204.32 [7320]~E(f905(x73203,x73202,x73201),f906(x73203,x73202,x73201))+E(f331(f331(f105(f935(x73201,a923)),x73202),f37(f935(x73201,a923),x73203)),f192(f935(x73201,a923)))+P107(f331(f331(f333(f935(x73201,a923)),x73202),x73203))
% 204.32/204.32 [7328]~P107(f331(f61(x73281),x73283))+P107(f331(f61(x73281),f38(f935(x73281,a923),x73282)))+~P107(f331(f331(f333(f935(x73281,a923)),x73283),x73282))
% 204.32/204.32 [7388]~P109(x73881)+E(f331(f331(f114(f935(x73881,a923)),f331(f306(x73881,x73882),x73883)),f331(f331(f313(x73881),x73883),f192(f935(x73881,a923)))),f307(x73881,x73882,x73883))+~P107(f331(f331(f239(x73881),x73882),x73883))
% 204.32/204.32 [7389]E(x73891,f2(a927))+P107(f331(f331(f240(a927),f364(x73891,x73893,x73892)),x73891))+P107(f331(x73892,f331(f331(f36(a927),x73893),x73891)))
% 204.32/204.32 [7418]P107(f331(f331(f240(a927),f331(f193(f928(x74181)),x74182)),f789(x74183,x74181)))+~P107(f331(f61(f928(x74181)),x74183))+~P107(f331(f331(f333(f928(x74181)),x74182),x74183))
% 204.32/204.32 [7424]E(x74241,x74242)+~P107(f331(f331(f239(f935(x74243,a923)),x74241),x74242))+P107(f331(f331(f240(f935(x74243,a923)),x74241),x74242))
% 204.32/204.32 [7437]E(x74371,x74372)+~E(f331(f193(f928(x74373)),x74371),f331(f193(f928(x74373)),x74372))+P107(f331(f331(f240(a927),f647(x74373,x74371,x74372)),f331(f193(f928(x74373)),x74372)))
% 204.32/204.32 [7486]P7(x74861,x74862,x74863)+~E(f331(f268(x74861,x74861),x74863),x74862)+~E(f331(f331(f293(x74861,x74861,x74861),f331(f290(x74861,x74861),x74863)),x74863),x74863)
% 204.32/204.32 [7563]~P107(f331(x75631,f2(a927)))+P107(f331(f331(f240(a927),f364(x75633,x75632,x75631)),x75633))+P107(f331(x75631,f331(f331(f36(a927),x75632),x75633)))
% 204.32/204.32 [7572]~P109(x75721)+E(f331(f331(f114(f935(x75721,a923)),f310(x75721,x75722,x75723)),f331(f331(f313(x75721),x75723),f192(f935(x75721,a923)))),f309(x75721,x75722,x75723))+~P107(f331(f331(f240(x75721),x75722),x75723))
% 204.32/204.32 [7665]~P107(f331(f61(x76651),x76653))+P107(f331(f331(f239(a927),f331(f35(x76651),x76652)),f331(f35(x76651),x76653)))+~P107(f331(f331(f239(f935(x76651,a923)),x76652),x76653))
% 204.32/204.32 [7666]~P107(f331(f61(x76661),x76663))+P107(f331(f331(f240(a927),f331(f35(x76661),x76662)),f331(f35(x76661),x76663)))+~P107(f331(f331(f240(f935(x76661,a923)),x76662),x76663))
% 204.32/204.32 [7703]~P107(f331(x77033,x77032))+P107(f331(f331(f198(x77031),x77032),f470(x77032,x77031,x77033)))+~P107(f331(f331(f198(f29(x77033,x77031)),x77032),x77032))
% 204.32/204.32 [7797]E(x77971,x77972)+~P107(f331(f331(f239(f935(x77973,a923)),x77972),x77971))+~P107(f331(f331(f239(f935(x77973,a923)),x77971),x77972))
% 204.32/204.32 [7800]~P109(x78001)+P12(x78001,x78002)+~P12(x78001,f331(f331(f152(x78001,x78001,f5(x78001)),x78003),x78002))
% 204.32/204.32 [7869]~P107(f331(f331(f240(a927),x78693),x78692))+~P107(f331(f331(f240(a927),x78693),x78691))+P107(f331(f331(f240(a927),f331(f331(f23(a927),x78691),x78692)),f331(f331(f23(a927),x78691),x78693)))
% 204.32/204.32 [7870]~P107(f331(f331(f239(a927),x78702),x78701))+~P107(f331(f331(f240(a927),x78701),x78703))+P107(f331(f331(f240(a927),f331(f331(f23(a927),x78701),x78702)),f331(f331(f23(a927),x78703),x78702)))
% 204.32/204.32 [7885]~P107(f331(f331(f240(a1),x78852),f2(a1)))+~P107(f331(f331(f239(a1),x78853),x78851))+P107(f331(f331(f239(a1),f331(f331(f36(a1),x78851),x78852)),f331(f331(f36(a1),x78853),x78852)))
% 204.32/204.32 [7902]~P107(f331(f331(f240(a927),f2(a927)),x79023))+~P107(f331(f331(f239(a927),x79023),x79022))+P107(f331(f331(f239(a927),f331(f331(f36(a927),x79021),x79022)),f331(f331(f36(a927),x79021),x79023)))
% 204.32/204.32 [7903]~P107(f331(f331(f240(a1),f2(a1)),x79032))+~P107(f331(f331(f239(a1),x79031),x79033))+P107(f331(f331(f239(a1),f331(f331(f36(a1),x79031),x79032)),f331(f331(f36(a1),x79033),x79032)))
% 204.32/204.32 [7907]~P107(f331(f331(f240(a927),f2(a927)),x79072))+~P107(f331(f331(f240(a927),x79071),x79073))+P107(f331(f331(f240(a927),f331(f331(f81(a927),x79071),x79072)),f331(f331(f81(a927),x79073),x79072)))
% 204.32/204.32 [7908]~P107(f331(f331(f240(a927),f2(a927)),x79081))+~P107(f331(f331(f240(a927),x79082),x79083))+P107(f331(f331(f240(a927),f331(f331(f81(a927),x79081),x79082)),f331(f331(f81(a927),x79081),x79083)))
% 204.32/204.32 [7909]~P107(f331(f331(f240(a1),f2(a1)),x79091))+~P107(f331(f331(f240(a1),x79092),x79093))+P107(f331(f331(f240(a1),f331(f331(f81(a1),x79091),x79092)),f331(f331(f81(a1),x79091),x79093)))
% 204.32/204.32 [7910]~P107(f331(f331(f240(a927),f2(a927)),x79101))+~P107(f331(f331(f291(a927),x79102),x79103))+P107(f331(f331(f291(a927),f331(f331(f81(a927),x79101),x79102)),f331(f331(f81(a927),x79101),x79103)))
% 204.32/204.32 [7958]E(x79581,f2(a927))+E(f331(f331(f80(a927),f331(f331(f81(a927),x79581),f363(x79581,x79582,x79583))),f364(x79581,x79582,x79583)),x79582)+P107(f331(x79583,f331(f331(f36(a927),x79582),x79581)))
% 204.32/204.32 [8020]E(f331(f331(f80(a927),f331(f331(f81(a927),x80201),f363(x80201,x80202,x80203))),f364(x80201,x80202,x80203)),x80202)+~P107(f331(x80203,f2(a927)))+P107(f331(x80203,f331(f331(f36(a927),x80202),x80201)))
% 204.32/204.32 [8038]~P107(f331(f61(x80381),x80383))+P107(f331(f331(f333(x80381),f919(x80382,x80383,x80381)),x80383))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f9(x80381,a927),x80382),x80383)))
% 204.32/204.32 [8039]~P107(f331(f61(x80391),x80393))+P107(f331(f331(f333(x80391),f367(x80392,x80393,x80391)),x80393))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f9(x80391,a927),x80392),x80393)))
% 204.32/204.32 [8333]E(x83331,f192(f935(x83332,a923)))+E(x83331,f331(f331(f313(x83332),x83333),f192(f935(x83332,a923))))+~P107(f331(f331(f239(f935(x83332,a923)),x83331),f331(f331(f313(x83332),x83333),f192(f935(x83332,a923)))))
% 204.32/204.32 [8366]~P107(f331(f331(f240(a927),f78(a927)),x83663))+P107(f331(f331(f239(a927),x83661),x83662))+~P107(f331(f331(f291(a927),f331(f331(f248(a927),x83663),x83661)),f331(f331(f248(a927),x83663),x83662)))
% 204.32/204.32 [8368]~P107(f331(f331(f240(a927),f2(a927)),x83683))+P107(f331(f331(f239(a927),x83681),x83682))+~P107(f331(f331(f239(a927),f331(f331(f81(a927),x83683),x83681)),f331(f331(f81(a927),x83683),x83682)))
% 204.32/204.32 [8369]~P107(f331(f331(f240(a927),f2(a927)),x83693))+P107(f331(f331(f239(a927),x83691),x83692))+~P107(f331(f331(f239(a927),f331(f331(f81(a927),x83691),x83693)),f331(f331(f81(a927),x83692),x83693)))
% 204.32/204.32 [8371]~P107(f331(f331(f240(a927),f2(a927)),x83713))+P107(f331(f331(f240(a927),x83711),x83712))+~P107(f331(f331(f240(a927),f331(f331(f248(a927),x83713),x83711)),f331(f331(f248(a927),x83713),x83712)))
% 204.32/204.32 [8373]~P107(f331(f331(f240(a927),f2(a927)),x83733))+P107(f331(f331(f291(a927),x83731),x83732))+~P107(f331(f331(f291(a927),f331(f331(f81(a927),x83733),x83731)),f331(f331(f81(a927),x83733),x83732)))
% 204.32/204.32 [8405]~P107(f331(x84051,x84053))+P107(f331(f331(f198(f29(x84051,x84052)),f470(x84053,x84052,x84051)),x84053))+~P107(f331(f331(f198(f29(x84051,x84052)),x84053),x84053))
% 204.32/204.32 [8413]~E(f331(f331(f105(f935(x84131,a923)),f906(x84133,x84132,x84131)),f905(x84133,x84132,x84131)),f192(f935(x84131,a923)))+E(f331(f331(f105(f935(x84131,a923)),x84132),f37(f935(x84131,a923),x84133)),f192(f935(x84131,a923)))+P107(f331(f331(f333(f935(x84131,a923)),x84132),x84133))
% 204.32/204.32 [8427]E(x84271,f117(x84272))+~E(f331(f146(f928(x84272),f928(x84272),f138(x84272),f117(x84272)),x84273),f117(x84272))+~P107(f331(f331(f333(f928(x84272)),x84271),f331(f176(f928(x84272)),x84273)))
% 204.32/204.32 [8482]E(x84821,f192(f935(f935(x84822,a923),a923)))+P107(f331(f331(f333(f935(x84822,a923)),f443(x84823,x84821,x84822)),x84821))+P107(f331(f331(f239(f935(x84822,a923)),f38(f935(x84822,a923),x84821)),x84823))
% 204.32/204.32 [8488]~P71(x84881)+~P72(x84881)+E(f331(f331(f6(a1,x84881),f331(f331(f8(a927,x84881,a1),x84882),a108)),f331(f314(a927,a1,f104(a1)),x84883)),f331(f331(f6(a927,x84881),x84882),x84883))
% 204.32/204.32 [8489]~P71(x84891)+~P72(x84891)+E(f331(f331(f9(a1,x84891),f331(f331(f8(a927,x84891,a1),x84892),a108)),f331(f314(a927,a1,f104(a1)),x84893)),f331(f331(f9(a927,x84891),x84892),x84893))
% 204.32/204.32 [8531]~P107(f331(f61(x85311),x85313))+~P107(f331(f331(f240(a927),f2(a927)),f331(x85312,f919(x85312,x85313,x85311))))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f9(x85311,a927),x85312),x85313)))
% 204.32/204.32 [8532]~P107(f331(f61(x85321),x85323))+~P107(f331(f331(f240(a927),f2(a927)),f331(x85322,f367(x85322,x85323,x85321))))+P107(f331(f331(f240(a927),f2(a927)),f331(f331(f9(x85321,a927),x85322),x85323)))
% 204.32/204.32 [8568]~P65(x85682)+E(x85681,f78(x85682))+E(f331(f331(f294(x85682),f331(f331(f23(x85682),f331(f331(f248(x85682),x85681),x85683)),f78(x85682))),f331(f331(f23(x85682),x85681),f78(x85682))),f331(f331(f6(a927,x85682),f331(f248(x85682),x85681)),f331(f306(a927,f2(a927)),x85683)))
% 204.32/204.32 [8626]E(x86261,f2(a927))+~P107(f331(x86263,f331(f331(f36(a927),x86262),x86261)))+P107(f331(f331(f240(a927),x86262),f331(f331(f81(a927),x86261),f331(a116,f362(x86261,x86262,x86263)))))
% 204.32/204.32 [8645]P107(f331(x86451,f2(a927)))+~P107(f331(x86451,f331(f331(f36(a927),x86452),x86453)))+P107(f331(f331(f240(a927),x86452),f331(f331(f81(a927),x86453),f331(a116,f362(x86453,x86452,x86451)))))
% 204.32/204.32 [8685]E(x86851,f2(a927))+~P107(f331(x86853,f331(f331(f36(a927),x86852),x86851)))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x86851),f362(x86851,x86852,x86853))),x86852))
% 204.32/204.32 [8722]P107(f331(x87221,f2(a927)))+~P107(f331(x87221,f331(f331(f36(a927),x87223),x87222)))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x87222),f362(x87222,x87223,x87221))),x87223))
% 204.32/204.32 [8730]~P109(x87301)+E(f331(f331(f152(x87301,x87301,f5(x87301)),x87302),x87303),f153(x87301,x87301,f5(x87301),x87302,x87303))+P107(f331(f331(f333(x87301),x87302),f331(f176(x87301),x87303)))
% 204.32/204.32 [8768]~E(f331(x87683,f590(x87682,x87683,x87681)),f331(x87683,f592(x87682,x87683,x87681)))+~P60(x87681,f331(x87683,f591(x87682,x87683,x87681)))+P60(x87681,f331(f331(f39(x87682,f935(x87681,f935(x87681,a923))),f246(f935(x87682,a923))),x87683))
% 204.32/204.32 [8777]E(x87771,f192(f935(f935(x87772,a923),a923)))+~P107(f331(f331(f239(f935(x87772,a923)),f443(x87773,x87771,x87772)),x87773))+P107(f331(f331(f239(f935(x87772,a923)),f38(f935(x87772,a923),x87771)),x87773))
% 204.32/204.32 [8837]~P67(x88371)+~P107(f331(f331(f240(x88371),x88372),x88373))+P107(f331(f331(f240(x88371),x88372),f331(f331(f294(x88371),f331(f331(f80(x88371),x88372),x88373)),f331(f331(f80(x88371),f78(x88371)),f78(x88371)))))
% 204.32/204.32 [8895]~P107(f331(f331(x88951,f505(x88951,x88953,x88952)),f509(x88951,x88953,x88952)))+P107(f331(f331(x88951,x88952),x88953))+~P107(f331(f319(f934(a1,a1),a52),f331(f331(f256(a1,a1),x88952),x88953)))
% 204.32/204.32 [8896]~P107(f331(f331(x88961,f510(x88961,x88963,x88962)),f511(x88961,x88963,x88962)))+P107(f331(f331(x88961,x88962),x88963))+~P107(f331(f319(f934(a1,a1),a58),f331(f331(f256(a1,a1),x88962),x88963)))
% 204.32/204.32 [8897]~P107(f331(f331(x88971,f514(x88971,x88973,x88972)),f516(x88971,x88973,x88972)))+P107(f331(f331(x88971,x88972),x88973))+~P107(f331(f319(f934(a1,a1),a226),f331(f331(f256(a1,a1),x88972),x88973)))
% 204.32/204.32 [8898]~P107(f331(f331(x88981,f517(x88981,x88983,x88982)),f518(x88981,x88983,x88982)))+P107(f331(f331(x88981,x88982),x88983))+~P107(f331(f319(f934(a927,a927),a224),f331(f331(f256(a927,a927),x88982),x88983)))
% 204.32/204.32 [8899]~P107(f331(f331(x88991,f682(x88991,x88993,x88992)),f684(x88991,x88993,x88992)))+P107(f331(f331(x88991,x88992),x88993))+~P107(f331(f319(f934(a1,a1),a186),f331(f331(f256(a1,a1),x88992),x88993)))
% 204.32/204.32 [8900]~P107(f331(f331(x89001,f780(x89001,x89003,x89002)),f781(x89001,x89003,x89002)))+P107(f331(f331(x89001,x89002),x89003))+~P107(f331(f319(f934(a1,a1),a137),f331(f331(f256(a1,a1),x89002),x89003)))
% 204.32/204.32 [9175]P107(f331(f331(x91751,x91752),x91753))+P107(f331(f319(f934(a927,a927),a224),f331(f331(f256(a927,a927),f517(x91751,x91753,x91752)),f518(x91751,x91753,x91752))))+~P107(f331(f319(f934(a927,a927),a224),f331(f331(f256(a927,a927),x91752),x91753)))
% 204.32/204.32 [9176]P107(f331(f331(x91761,x91762),x91763))+P107(f331(f319(f934(a1,a1),a52),f331(f331(f256(a1,a1),f505(x91761,x91763,x91762)),f509(x91761,x91763,x91762))))+~P107(f331(f319(f934(a1,a1),a52),f331(f331(f256(a1,a1),x91762),x91763)))
% 204.32/204.32 [9177]P107(f331(f331(x91771,x91772),x91773))+P107(f331(f319(f934(a1,a1),a58),f331(f331(f256(a1,a1),f510(x91771,x91773,x91772)),f511(x91771,x91773,x91772))))+~P107(f331(f319(f934(a1,a1),a58),f331(f331(f256(a1,a1),x91772),x91773)))
% 204.32/204.32 [9178]P107(f331(f331(x91781,x91782),x91783))+P107(f331(f319(f934(a1,a1),a226),f331(f331(f256(a1,a1),f514(x91781,x91783,x91782)),f516(x91781,x91783,x91782))))+~P107(f331(f319(f934(a1,a1),a226),f331(f331(f256(a1,a1),x91782),x91783)))
% 204.32/204.32 [9179]P107(f331(f331(x91791,x91792),x91793))+P107(f331(f319(f934(a1,a1),a186),f331(f331(f256(a1,a1),f682(x91791,x91793,x91792)),f684(x91791,x91793,x91792))))+~P107(f331(f319(f934(a1,a1),a186),f331(f331(f256(a1,a1),x91792),x91793)))
% 204.32/204.32 [9180]P107(f331(f331(x91801,x91802),x91803))+P107(f331(f319(f934(a1,a1),a137),f331(f331(f256(a1,a1),f780(x91801,x91803,x91802)),f781(x91801,x91803,x91802))))+~P107(f331(f319(f934(a1,a1),a137),f331(f331(f256(a1,a1),x91802),x91803)))
% 204.32/204.32 [9518]~P107(f331(f61(x95181),x95183))+P107(f331(f331(f333(f934(f935(x95181,a923),f935(x95181,a923))),f331(f331(f256(f935(x95181,a923),f935(x95181,a923)),x95182),x95183)),f318(x95181)))+~P107(f331(f331(f240(f935(x95181,a923)),x95182),x95183))
% 204.32/204.32 [9596]~P60(x95961,f331(x95963,f591(x95962,x95963,x95961)))+P60(x95961,f331(f331(f39(x95962,f935(x95961,f935(x95961,a923))),f246(f935(x95962,a923))),x95963))+~E(f331(f331(f105(f935(x95961,a923)),f253(x95961,x95961,f331(x95963,f590(x95962,x95963,x95961)))),f254(x95961,x95961,f331(x95963,f592(x95962,x95963,x95961)))),f192(f935(x95961,a923)))
% 204.32/204.32 [9805]P53(x98051,x98052,x98053)+P107(f331(f331(f333(f934(x98051,x98051)),f578(x98053,x98052,x98051)),x98053))+~P107(f331(f331(f333(f934(x98051,x98051)),f331(f331(f256(x98051,x98051),f577(x98053,x98052,x98051)),f577(x98053,x98052,x98051))),x98053))
% 204.32/204.32 [10389]P53(x103891,x103892,x103893)+~P107(f331(f331(f261(x103891,x103891,a923),f331(f331(f7(x103891,f935(x103891,a923),f935(x103891,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x103891,a923),f935(x103891,a923)),x103891),f8(a923,a923,x103891)),f331(f331(f8(a923,f935(a923,a923),x103891),a329),f331(f331(f7(x103891,f935(x103891,a923),a923),f333(x103891)),x103892)))),f331(f331(f7(x103891,f935(x103891,a923),a923),f333(x103891)),x103892))),f578(x103893,x103892,x103891)))+~P107(f331(f331(f333(f934(x103891,x103891)),f331(f331(f256(x103891,x103891),f577(x103893,x103892,x103891)),f577(x103893,x103892,x103891))),x103893))
% 204.32/204.32 [5896]~P61(x58962)+E(x58961,f2(x58962))+E(f331(f331(f36(x58962),f331(f331(f81(x58962),x58963),x58961)),x58961),x58963)
% 204.32/204.32 [5897]~P61(x58972)+E(x58971,f2(x58972))+E(f331(f331(f36(x58972),f331(f331(f81(x58972),x58971),x58973)),x58971),x58973)
% 204.32/204.32 [6702]~P72(x67021)+~E(f331(x67022,f2(a927)),f2(x67021))+E(f331(f331(f6(a927,x67021),x67022),f331(f306(a927,f331(a116,f2(a927))),x67023)),f331(f331(f6(a927,x67021),x67022),f331(f306(a927,f2(a927)),x67023)))
% 204.32/204.32 [6833]~P61(x68332)+E(x68331,f2(x68332))+E(f331(f331(f36(x68332),f331(f331(f80(x68332),x68333),x68331)),x68331),f331(f331(f80(x68332),f331(f331(f36(x68332),x68333),x68331)),f78(x68332)))
% 204.32/204.32 [6834]~P61(x68342)+E(x68341,f2(x68342))+E(f331(f331(f36(x68342),f331(f331(f80(x68342),x68341),x68343)),x68341),f331(f331(f80(x68342),f331(f331(f36(x68342),x68343),x68341)),f78(x68342)))
% 204.32/204.32 [7051]~P107(f331(x70513,f2(a1)))+P107(f331(f331(f239(a927),x70511),x70512))+P107(f331(x70513,f331(f104(a1),f331(f331(f23(a927),x70512),x70511))))
% 204.32/204.32 [7152]P107(f331(f331(f240(a927),x71522),x71521))+P107(f331(f331(f239(a927),x71521),x71522))+P107(f331(x71523,f331(f104(a1),f331(f331(f23(a927),x71522),x71521))))
% 204.32/204.32 [7226]E(f331(f331(f80(a927),f331(f107(a927),x72261)),f331(f331(f80(a927),f331(f107(a927),x72262)),x72263)),f331(f331(f80(a927),f331(f107(a927),x72261)),x72263))+P107(f331(a197,f331(f107(a1),x72261)))+~P107(f331(a197,f331(f107(a1),x72262)))
% 204.32/204.32 [7307]~E(x73072,f331(f331(f36(a927),x73073),x73071))+~P107(f331(f331(f240(a927),f2(a927)),x73071))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x73071),x73072)),x73073))
% 204.32/204.32 [7421]~P107(f331(f61(x74211),x74213))+~P107(f331(f61(x74211),x74212))+P107(f331(f61(x74211),f331(f331(f114(f935(x74211,a923)),x74212),x74213)))
% 204.32/204.32 [7471]~P39(x74711,x74713)+~P39(x74711,x74712)+P39(x74711,f331(f331(f105(f935(f934(x74711,x74711),a923)),x74712),x74713))
% 204.32/204.32 [7472]~P52(x74721,x74723)+~P52(x74721,x74722)+P52(x74721,f331(f331(f114(f935(f934(x74721,x74721),a923)),x74722),x74723))
% 204.32/204.32 [7473]~P52(x74731,x74733)+~P52(x74731,x74732)+P52(x74731,f331(f331(f105(f935(f934(x74731,x74731),a923)),x74732),x74733))
% 204.32/204.32 [7715]~P109(x77151)+~P107(f331(f61(x77151),x77152))+E(f143(x77151,f331(f331(f23(f935(x77151,a923)),x77152),f331(f331(f313(x77151),x77153),f192(f935(x77151,a923))))),f174(x77151,x77153,f143(x77151,x77152)))
% 204.32/204.32 [7776]P107(f331(x77761,f2(a1)))+~P107(f331(f331(f240(a927),x77762),x77763))+~P107(f331(x77761,f331(f104(a1),f331(f331(f23(a927),x77762),x77763))))
% 204.32/204.32 [7794]~P107(f331(f61(x77941),x77942))+E(f331(f35(x77941),f331(f331(f23(f935(x77941,a923)),x77942),f331(f331(f313(x77941),x77943),f192(f935(x77941,a923))))),f331(f35(x77941),x77942))+P107(f331(f331(f333(x77941),x77943),x77942))
% 204.32/204.32 [7925]~P127(x79251)+~P107(f331(f331(f240(x79251),f78(x79251)),x79252))+P107(f331(f331(f240(x79251),f78(x79251)),f331(f331(f81(x79251),x79252),f331(f331(f248(x79251),x79252),x79253))))
% 204.32/204.32 [7969]~P107(f331(f61(x79691),x79693))+E(f331(f331(f23(a927),f331(f35(x79691),x79692)),f331(f35(x79691),x79693)),f331(f35(x79691),f331(f331(f23(f935(x79691,a923)),x79692),x79693)))+~P107(f331(f331(f239(f935(x79691,a923)),x79693),x79692))
% 204.32/204.32 [8028]~P107(f331(f331(f239(a927),x80282),x80283))+~P107(f331(f331(f239(a927),x80281),f331(f331(f23(a927),x80283),x80282)))+P107(f331(f331(f239(a927),f331(f331(f80(a927),x80281),x80282)),x80283))
% 204.32/204.32 [8082]P107(f331(f61(x80821),x80822))+~P107(f331(f61(x80821),x80823))+~P107(f331(f61(x80821),f331(f331(f23(f935(x80821,a923)),x80822),x80823)))
% 204.32/204.32 [8088]~P107(f331(f61(x80881),x80882))+E(f331(f35(x80881),f331(f331(f23(f935(x80881,a923)),x80882),f331(f331(f313(x80881),x80883),f192(f935(x80881,a923))))),f331(f331(f23(a927),f331(f35(x80881),x80882)),f78(a927)))+~P107(f331(f331(f333(x80881),x80883),x80882))
% 204.32/204.32 [8163]P60(x81631,x81632)+~P60(x81631,x81633)+~P107(f331(f331(f239(f935(x81631,f935(x81631,a923))),x81632),x81633))
% 204.32/204.32 [8203]~P107(f331(f331(f239(a927),x82033),x82032))+P107(f331(f331(f239(a927),x82031),f331(f331(f23(a927),x82032),x82033)))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),x82031),x82033)),x82032))
% 204.32/204.32 [8221]P38(x82211,x82212)+~P38(x82211,x82213)+~P107(f331(f331(f239(f935(f934(x82211,x82211),a923)),x82212),x82213))
% 204.32/204.32 [8222]P58(x82221,x82222)+~P58(x82221,x82223)+~P107(f331(f331(f239(f935(f934(x82221,x82221),a923)),x82222),x82223))
% 204.32/204.32 [8223]P40(x82231,x82232)+~P40(x82231,x82233)+~P107(f331(f331(f239(f935(f934(x82231,x82231),a923)),x82232),x82233))
% 204.32/204.32 [8460]~P127(x84601)+~P107(f331(f331(f240(x84601),f78(x84601)),x84602))+P107(f331(f331(f240(x84601),f331(f331(f248(x84601),x84602),x84603)),f331(f331(f81(x84601),x84602),f331(f331(f248(x84601),x84602),x84603))))
% 204.32/204.32 [8550]~P107(f331(x85501,f2(a1)))+~P107(f331(x85501,f331(f331(f23(a1),f331(f104(a1),x85502)),f331(f104(a1),x85503))))+P107(f331(x85501,f331(f104(a1),f331(f331(f23(a927),x85502),x85503))))
% 204.32/204.32 [8565]~P107(f331(f331(f239(a927),x85653),x85652))+P107(f331(x85651,f331(f331(f23(a1),f331(f104(a1),x85652)),f331(f104(a1),x85653))))+~P107(f331(x85651,f331(f104(a1),f331(f331(f23(a927),x85652),x85653))))
% 204.32/204.32 [8585]P107(f331(f331(f240(a927),x85851),x85852))+~P107(f331(x85853,f331(f331(f23(a1),f331(f104(a1),x85851)),f331(f104(a1),x85852))))+P107(f331(x85853,f331(f104(a1),f331(f331(f23(a927),x85851),x85852))))
% 204.32/204.32 [8637]~P129(x86372)+E(x86371,f2(x86372))+P107(f331(f331(f240(x86372),f2(x86372)),f331(f331(f80(x86372),f331(f331(f81(x86372),x86373),x86373)),f331(f331(f81(x86372),x86371),x86371))))
% 204.32/204.32 [8638]~P129(x86382)+E(x86381,f2(x86382))+P107(f331(f331(f240(x86382),f2(x86382)),f331(f331(f80(x86382),f331(f331(f81(x86382),x86381),x86381)),f331(f331(f81(x86382),x86383),x86383))))
% 204.32/204.32 [8747]~P107(f331(f331(f240(a927),f2(a927)),x87471))+~P107(f331(f331(f240(a1),x87472),x87473))+P107(f331(f331(f240(a1),f331(f331(f81(a1),f331(f104(a1),x87471)),x87472)),f331(f331(f81(a1),f331(f104(a1),x87471)),x87473)))
% 204.32/204.32 [8806]E(f331(f331(f105(f935(x88061,a923)),x88062),f37(f935(x88061,a923),x88063)),f192(f935(x88061,a923)))+P107(f331(f331(f333(f935(x88061,a923)),x88062),x88063))+P107(f331(f331(f333(f935(x88061,a923)),f906(x88063,x88062,x88061)),f331(f331(f313(f935(x88061,a923)),x88062),x88063)))
% 204.32/204.32 [8807]E(f331(f331(f105(f935(x88071,a923)),x88072),f37(f935(x88071,a923),x88073)),f192(f935(x88071,a923)))+P107(f331(f331(f333(f935(x88071,a923)),x88072),x88073))+P107(f331(f331(f333(f935(x88071,a923)),f905(x88073,x88072,x88071)),f331(f331(f313(f935(x88071,a923)),x88072),x88073)))
% 204.32/204.32 [8836]E(x88361,x88362)+~E(f331(f193(f928(x88363)),x88361),f331(f193(f928(x88363)),x88362))+P107(f331(f331(f333(f934(x88363,x88363)),f672(x88363,x88361,x88362)),f331(f176(f934(x88363,x88363)),f331(f331(f185(x88363,x88363),x88362),x88361))))
% 204.32/204.32 [9086]E(f311(x90861,x90862),f311(x90861,x90863))+~P107(f331(f331(f239(f935(f934(x90861,x90861),a923)),x90863),f311(x90861,x90862)))+~P107(f331(f331(f239(f935(f934(x90861,x90861),a923)),x90862),x90863))
% 204.32/204.32 [9153]~P53(x91531,f246(f935(x91531,a923)),x91533)+P107(f331(f331(f239(f935(f934(f928(x91531),f928(x91531)),a923)),f161(x91531,x91532)),f162(x91531,x91533)))+~P107(f331(f331(f239(f935(f934(x91531,x91531),a923)),x91532),x91533))
% 204.32/204.32 [9353]P38(x93531,x93532)+~P107(f331(f331(f333(x93531),x93533),f621(x93532,x93531)))+P107(f331(f331(f333(f934(x93531,x93531)),f331(f331(f256(x93531,x93531),f644(x93532,x93531,x93533)),x93533)),x93532))
% 204.32/204.32 [9388]~P107(f331(f61(x93881),x93882))+P107(f331(f61(f935(x93881,a923)),f331(f331(f60(x93881),x93882),x93883)))+~P107(f331(f331(f239(f935(f934(x93881,x93881),a923)),x93883),f331(f331(f258(x93881,x93881),x93882),f331(f16(f935(x93881,a923),x93881),x93882))))
% 204.32/204.32 [9426]P53(x94261,x94262,x94263)+P107(f331(f331(f333(x94261),f573(x94263,x94262,x94261)),x94262))+~P107(f331(f331(f239(f935(f934(x94261,x94261),a923)),x94263),f331(f331(f258(x94261,x94261),x94262),f331(f16(f935(x94261,a923),x94261),x94262))))
% 204.32/204.32 [9427]P53(x94271,x94272,x94273)+P107(f331(f331(f333(x94271),f576(x94272,x94273,x94271)),x94272))+~P107(f331(f331(f239(f935(f934(x94271,x94271),a923)),x94273),f331(f331(f258(x94271,x94271),x94272),f331(f16(f935(x94271,a923),x94271),x94272))))
% 204.32/204.32 [9460]~P67(x94601)+~P107(f331(f331(f240(x94601),x94602),x94603))+P107(f331(f331(f240(x94601),f331(f331(f294(x94601),f331(f331(f80(x94601),x94602),x94603)),f331(f331(f80(x94601),f78(x94601)),f78(x94601)))),x94603))
% 204.32/204.32 [9491]~P66(x94911)+P107(f331(f331(f239(x94911),x94912),x94913))+~P107(f331(f331(f239(x94911),f331(f331(f81(x94911),f353(x94913,x94912,x94911)),x94912)),x94913))
% 204.32/204.32 [9631]E(f331(f193(f928(f928(x96311))),f331(f140(f928(x96311),f331(f331(f8(a927,a923,f928(x96311)),f331(f240(a927),x96312)),f193(f928(x96311)))),f183(x96311,x96313))),f331(f193(f928(x96311)),f331(f331(f168(f928(x96311)),x96313),x96312)))+~P12(a927,f331(f172(a927),f331(f331(f158(f928(x96311),a927),f193(f928(x96311))),x96313)))+~P107(f331(f331(f240(a927),x96312),f331(f193(f928(f928(x96311))),x96313)))
% 204.32/204.32 [9752]~P38(x97521,x97522)+P26(x97521,f331(f331(f256(f935(f934(x97521,x97521),a923),f935(f934(x97521,x97521),a923)),x97522),x97523))+~P107(f331(f331(f239(f935(f934(x97521,x97521),a923)),f331(f331(f293(x97521,x97521,x97521),x97522),x97523)),x97522))
% 204.32/204.32 [9758]E(f331(f331(f158(f928(x97581),x97581),f331(f331(f7(f928(x97581),a927,x97581),f168(x97581)),x97582)),f331(f140(f928(x97581),f331(f331(f8(a927,a923,f928(x97581)),f331(f240(a927),x97582)),f193(f928(x97581)))),f183(x97581,x97583))),f331(f331(f168(f928(x97581)),x97583),x97582))+~P12(a927,f331(f172(a927),f331(f331(f158(f928(x97581),a927),f193(f928(x97581))),x97583)))+~P107(f331(f331(f240(a927),x97582),f331(f193(f928(f928(x97581))),x97583)))
% 204.32/204.32 [9893]P53(x98931,x98932,x98933)+~P107(f331(f331(f333(f934(x98931,x98931)),f331(f331(f256(x98931,x98931),f573(x98933,x98932,x98931)),f573(x98933,x98932,x98931))),x98933))+~P107(f331(f331(f239(f935(f934(x98931,x98931),a923)),x98933),f331(f331(f258(x98931,x98931),x98932),f331(f16(f935(x98931,a923),x98931),x98932))))
% 204.32/204.32 [9894]P53(x98941,x98942,x98943)+~P107(f331(f331(f333(f934(x98941,x98941)),f331(f331(f256(x98941,x98941),f576(x98942,x98943,x98941)),f576(x98942,x98943,x98941))),x98943))+~P107(f331(f331(f239(f935(f934(x98941,x98941),a923)),x98943),f331(f331(f258(x98941,x98941),x98942),f331(f16(f935(x98941,a923),x98941),x98942))))
% 204.32/204.32 [10062]~P144(x100621)+~P126(x100621)+E(f331(f331(f294(x100621),f331(f106(x100621),f331(f331(f73(f934(a1,a1),a1,x100622,f255(a1,a1)),f217(x100622)),x100623))),f331(f106(x100621),f331(f331(f73(f934(a1,a1),a1,x100622,f260(a1,a1)),f217(x100622)),x100623))),f227(x100622,x100621,x100623))
% 204.32/204.32 [10257]~E(x102573,f2(a927))+~E(f331(f193(f928(x102571)),f331(f331(f168(f928(x102571)),x102572),f720(x102573,x102571,x102572))),x102573)+E(f331(f331(f158(a927,f928(x102571)),f331(f331(f7(a927,f928(a927),f928(x102571)),f331(f331(f8(f935(a927,x102571),f935(f928(a927),f928(x102571)),a927),f158(a927,x102571)),f331(f7(a927,a927,x102571),f331(f331(f8(f928(x102571),f935(a927,x102571),a927),f168(x102571)),f331(f168(f928(x102571)),x102572))))),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(f928(x102571))),x102572))))),f143(a927,f331(f306(a927,f2(a927)),x102573))),f183(x102571,x102572))
% 204.32/204.32 [10258]E(x102581,f117(f928(x102582)))+~E(f331(f193(f928(x102582)),f331(f331(f168(f928(x102582)),x102581),f720(x102583,x102582,x102581))),x102583)+E(f331(f331(f158(a927,f928(x102582)),f331(f331(f7(a927,f928(a927),f928(x102582)),f331(f331(f8(f935(a927,x102582),f935(f928(a927),f928(x102582)),a927),f158(a927,x102582)),f331(f7(a927,a927,x102582),f331(f331(f8(f928(x102582),f935(a927,x102582),a927),f168(x102582)),f331(f168(f928(x102582)),x102581))))),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(f928(x102582))),x102581))))),f143(a927,f331(f306(a927,f2(a927)),x102583))),f183(x102582,x102581))
% 204.32/204.32 [10259]~E(x102593,f2(a927))+E(f331(f331(f158(a927,f928(x102591)),f331(f331(f7(a927,f928(a927),f928(x102591)),f331(f331(f8(f935(a927,x102591),f935(f928(a927),f928(x102591)),a927),f158(a927,x102591)),f331(f7(a927,a927,x102591),f331(f331(f8(f928(x102591),f935(a927,x102591),a927),f168(x102591)),f331(f168(f928(x102591)),x102592))))),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(f928(x102591))),x102592))))),f143(a927,f331(f306(a927,f2(a927)),x102593))),f183(x102591,x102592))+P107(f331(f331(f240(a927),f720(x102593,x102591,x102592)),f331(f193(f928(f928(x102591))),x102592)))
% 204.32/204.32 [10260]E(x102601,f117(f928(x102602)))+E(f331(f331(f158(a927,f928(x102602)),f331(f331(f7(a927,f928(a927),f928(x102602)),f331(f331(f8(f935(a927,x102602),f935(f928(a927),f928(x102602)),a927),f158(a927,x102602)),f331(f7(a927,a927,x102602),f331(f331(f8(f928(x102602),f935(a927,x102602),a927),f168(x102602)),f331(f168(f928(x102602)),x102601))))),f143(a927,f331(f306(a927,f2(a927)),f331(f193(f928(f928(x102602))),x102601))))),f143(a927,f331(f306(a927,f2(a927)),x102603))),f183(x102602,x102601))+P107(f331(f331(f240(a927),f720(x102603,x102602,x102601)),f331(f193(f928(f928(x102602))),x102601)))
% 204.32/204.32 [7966]E(f331(f331(f80(a927),f331(f107(a927),x79661)),f331(f331(f80(a927),f331(f107(a927),x79662)),x79663)),f331(f331(f80(a927),f331(f107(a927),f331(f331(f80(a1),x79661),x79662))),x79663))+P107(f331(a197,f331(f107(a1),x79661)))+P107(f331(a197,f331(f107(a1),x79662)))
% 204.32/204.32 [8739]~P107(f331(f61(x87391),x87392))+~P107(f331(f331(f333(x87391),x87393),x87392))+E(f331(a116,f331(f35(x87391),f331(f331(f23(f935(x87391,a923)),x87392),f331(f331(f313(x87391),x87393),f192(f935(x87391,a923)))))),f331(f35(x87391),x87392))
% 204.32/204.32 [8758]~P107(f331(f61(x87581),x87582))+~P107(f331(f331(f333(x87581),x87583),x87582))+E(f331(f331(f80(a927),f78(a927)),f331(f35(x87581),f331(f331(f23(f935(x87581,a923)),x87582),f331(f331(f313(x87581),x87583),f192(f935(x87581,a923)))))),f331(f35(x87581),x87582))
% 204.32/204.32 [8845]~P109(x88451)+~P107(f331(f61(x88451),x88453))+E(f331(f331(f152(x88451,x88451,f5(x88451)),x88452),f143(x88451,f331(f331(f23(f935(x88451,a923)),x88453),f331(f331(f313(x88451),x88452),f192(f935(x88451,a923)))))),f143(x88451,f331(f331(f313(x88451),x88452),x88453)))
% 204.32/204.32 [9011]~P107(f331(f61(x90111),x90113))+~P107(f331(f61(x90111),x90112))+E(f331(f331(f80(a927),f331(f35(x90111),f331(f331(f114(f935(x90111,a923)),x90112),x90113))),f331(f35(x90111),f331(f331(f105(f935(x90111,a923)),x90112),x90113))),f331(f331(f80(a927),f331(f35(x90111),x90112)),f331(f35(x90111),x90113)))
% 204.32/204.32 [10206]~P24(x102061,f935(f935(x102061,a923),a923),f331(f331(f7(x102061,f935(f934(x102061,x102061),a923),f935(f935(x102061,a923),a923)),f331(f331(f8(f935(x102061,a923),f935(f935(f934(x102061,x102061),a923),f935(f935(x102061,a923),a923)),x102061),f60(x102061)),f331(f331(f7(x102061,f935(x102061,a923),f935(x102061,a923)),f313(x102061)),f192(f935(x102061,a923))))),x102063),x102062)+~P107(f331(f61(x102061),x102062))+E(f331(f35(f935(x102061,a923)),f331(f331(f60(x102061),x102062),x102063)),f331(f35(x102061),x102062))
% 204.32/204.32 [8238]~P95(x82381)+P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x82383)))+E(f331(f331(f248(x82381),x82382),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),x82383),x82383)),a101))),f78(x82381))
% 204.32/204.32 [9734]~P95(x97341)+~P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),x97343)))+E(f331(f331(f248(x97341),x97342),f331(f107(a927),f331(f331(f23(a1),f331(f331(f80(a1),x97343),x97343)),a101))),f331(f331(f86(x97341,x97341),f331(f331(f248(x97341),x97342),f331(f107(a927),x97343))),f331(f331(f18(x97341,x97341,x97341),f331(f331(f8(x97341,f935(x97341,x97341),x97341),f81(x97341)),f331(f81(x97341),x97342))),f5(x97341))))
% 204.32/204.32 [10125]~P107(f331(f141(x101251),x101253))+~P107(f331(f331(f333(x101251),x101252),f331(f176(x101251),x101253)))+E(f331(f331(f142(x101251),f331(f193(f928(x101251)),f181(x101251,f331(f331(f8(a923,a923,x101251),a326),f331(f331(f7(x101251,x101251,a923),a328),x101252)),f331(f172(x101251),x101253)))),f331(f172(x101251),x101253)),f331(f331(f155(x101251),x101252),f331(f172(x101251),f181(x101251,f331(f331(f8(a923,a923,x101251),a326),f331(f331(f7(x101251,x101251,a923),a328),x101252)),x101253))))
% 204.32/204.32 [10187]P107(f331(f331(f239(f935(f934(x101871,x101871),a923)),f311(x101871,x101872)),x101873))+~P107(f331(f331(f239(f935(f934(x101871,x101871),a923)),f311(x101871,f192(f935(f934(x101871,x101871),a923)))),x101873))+~P107(f331(f331(f239(f935(f934(x101871,x101871),a923)),f331(f331(f293(x101871,x101871,x101871),f331(f331(f105(f935(f934(x101871,x101871),a923)),f311(x101871,x101872)),x101873)),x101872)),x101873))
% 204.32/204.32 [10042]~P107(f331(f61(x100421),f331(f266(x100421),x100423)))+~P107(f331(f61(x100421),f331(f266(x100421),x100422)))+P107(f331(f61(x100421),f331(f266(x100421),f331(f331(f18(x100421,a923,a923),f331(f331(f8(a923,f935(a923,a923),x100421),a330),x100422)),x100423))))
% 204.32/204.32 [10319]P107(f331(f331(f239(f935(f934(x103191,x103191),a923)),f331(f331(f293(x103191,x103191,x103191),x103192),f311(x103191,x103192))),x103193))+~P107(f331(f331(f239(f935(f934(x103191,x103191),a923)),x103192),x103193))+~P107(f331(f331(f239(f935(f934(x103191,x103191),a923)),f331(f331(f293(x103191,x103191,x103191),f331(f331(f105(f935(f934(x103191,x103191),a923)),f331(f331(f293(x103191,x103191,x103191),x103192),f311(x103191,x103192))),x103193)),x103192)),x103193))
% 204.32/204.32 [10273]~P114(x102732)+E(x102731,f2(x102732))+~E(f331(f331(f80(x102732),f331(f331(f248(x102732),x102733),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x102732),x102731),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x102732))
% 204.32/204.32 [10274]~P114(x102742)+E(x102741,f2(x102742))+~E(f331(f331(f80(x102742),f331(f331(f248(x102742),x102741),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x102742),x102743),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x102742))
% 204.32/204.32 [10279]~P107(f331(f141(x102791),x102793))+~P107(f331(f331(f333(x102791),x102792),f331(f176(x102791),x102793)))+E(f331(f172(x102791),f331(f175(x102791),f331(f331(f142(x102791),f331(f193(f928(x102791)),f181(x102791,f331(f331(f8(a923,a923,x102791),a326),f331(f331(f7(x102791,x102791,a923),a328),x102792)),x102793))),x102793))),f181(x102791,f331(f331(f8(a923,a923,x102791),a326),f331(f331(f7(x102791,x102791,a923),a328),x102792)),f331(f172(x102791),x102793)))
% 204.32/204.32 [10368]~P114(x103682)+E(x103681,f2(x103682))+P107(f331(f331(f240(x103682),f2(x103682)),f331(f331(f80(x103682),f331(f331(f248(x103682),x103683),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x103682),x103681),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))))
% 204.32/204.32 [10369]~P114(x103692)+E(x103691,f2(x103692))+P107(f331(f331(f240(x103692),f2(x103692)),f331(f331(f80(x103692),f331(f331(f248(x103692),x103691),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x103692),x103693),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))))
% 204.32/204.32 [10431]~P114(x104311)+P107(f331(f331(f239(x104311),f2(x104311)),x104312))+~P107(f331(f331(f239(x104311),f2(x104311)),f331(f331(f248(x104311),x104312),f331(a116,f331(f331(f81(a927),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),x104313)))))
% 204.32/204.32 [5731]~P23(x57311,x57314,x57313)+P23(x57311,x57312,x57313)+~P23(x57311,x57312,x57314)
% 204.32/204.32 [5196]~E(x51962,f90(x51963,x51961))+P107(f331(x51961,x51962))+~P107(f331(x51961,x51964))
% 204.32/204.32 [5442]E(f68(x54423,x54422,x54424),x54422)+E(x54421,f746(x54422,x54423,x54424))+~P107(f331(x54424,x54421))
% 204.32/204.32 [6757]E(f68(x67571,x67572,x67573),f85(x67571,x67573))+~E(f785(x67572,x67571,x67573,x67574),x67574)+~P107(f331(x67573,x67574))
% 204.32/204.32 [6963]~P38(x69632,x69634)+~P38(x69631,x69633)+P38(f934(x69631,x69632),f323(x69631,x69632,x69633,x69634))
% 204.32/204.32 [6964]~P39(x69642,x69644)+~P39(x69641,x69643)+P39(f934(x69641,x69642),f323(x69641,x69642,x69643,x69644))
% 204.32/204.32 [5381]~P6(x53814,x53811)+~E(f331(x53811,x53812),f331(x53811,x53813))+P107(f331(f331(x53811,x53812),x53813))
% 204.32/204.32 [5546]~P6(x55464,x55461)+E(f331(x55461,x55462),f331(x55461,x55463))+~P107(f331(f331(x55461,x55462),x55463))
% 204.32/204.32 [5547]~P14(x55474,x55471)+E(f331(x55471,x55472),f331(x55471,x55473))+~P107(f331(f331(x55471,x55472),x55473))
% 204.32/204.32 [5638]~P17(x56383,x56384,x56381)+E(f331(x56381,x56382),f331(f63(x56383,x56384),x56382))+~P107(f331(f61(x56383),x56382))
% 204.32/204.32 [5639]~P8(x56393,x56394,x56391)+E(f331(x56391,x56392),f331(f63(x56393,x56394),x56392))+~P107(f331(f61(x56393),x56392))
% 204.32/204.32 [5764]~P6(x57644,x57641)+~P107(f331(f331(x57641,x57643),x57642))+P107(f331(f331(x57641,x57642),x57643))
% 204.32/204.32 [5765]~P51(x57654,x57651)+~P107(f331(f331(x57651,x57653),x57652))+P107(f331(f331(x57651,x57652),x57653))
% 204.32/204.32 [5766]~P14(x57664,x57661)+~P107(f331(f331(x57661,x57663),x57662))+P107(f331(f331(x57661,x57662),x57663))
% 204.32/204.32 [5767]~P14(x57673,x57671)+P107(f331(f331(x57671,x57672),x57672))+~P107(f331(f331(x57671,x57674),x57672))
% 204.32/204.32 [5768]~P14(x57683,x57681)+P107(f331(f331(x57681,x57682),x57682))+~P107(f331(f331(x57681,x57682),x57684))
% 204.32/204.32 [5838]E(x58381,x58382)+~E(f331(f255(x58383,x58384),x58381),f331(f255(x58383,x58384),x58382))+~E(f331(f260(x58383,x58384),x58381),f331(f260(x58383,x58384),x58382))
% 204.32/204.32 [5865]E(x58651,x58652)+~P107(f331(f48(x58653,x58654),x58652))+~P107(f331(f48(x58653,x58654),x58651))
% 204.32/204.32 [6056]~P72(x60562)+E(f236(x60561,x60562,x60563,x60564),f2(x60562))+P107(f331(f61(x60561),x60564))
% 204.32/204.32 [6104]~P6(x61043,x61042)+~P107(f331(x61041,x61044))+P107(f331(x61041,f829(x61041,x61042,x61043)))
% 204.32/204.32 [6197]~P107(f331(f319(x61971,x61972),x61974))+P107(f331(f319(x61971,x61972),x61973))+~P107(f331(f331(x61972,x61973),x61974))
% 204.32/204.32 [6561]~P6(x65613,x65614)+P107(f331(x65611,x65612))+~P107(f331(x65611,f838(x65611,x65614,x65613)))
% 204.32/204.32 [6998]~P30(x69981,x69983,x69984)+P107(f331(x69981,x69982))+~P107(f331(f331(f333(a1),x69982),f307(a1,x69983,x69984)))
% 204.32/204.32 [7144]~P6(x71443,x71444)+P107(f331(x71441,x71442))+P107(f331(f331(f333(x71443),f838(x71441,x71444,x71443)),f274(x71443,x71444)))
% 204.32/204.32 [7189]~P6(x71891,x71893)+~P107(f331(x71892,x71894))+P107(f331(f331(f333(x71891),f829(x71892,x71893,x71891)),f274(x71891,x71893)))
% 204.32/204.32 [8077]E(x80771,f2(a927))+~P107(f331(x80772,x80773))+P107(f331(x80772,f778(x80772,x80773,x80771,x80774)))
% 204.32/204.32 [8158]~P109(x81582)+~P107(f331(f141(x81581),x81584))+P107(f331(f141(x81581),f154(x81581,x81582,x81583,x81584)))
% 204.32/204.32 [8202]E(f68(x82021,x82022,x82023),f85(x82021,x82023))+~P107(f331(x82023,x82024))+P107(f331(x82023,f785(x82022,x82021,x82023,x82024)))
% 204.32/204.32 [8386]~P107(f331(f61(x83862),x83864))+~P107(f331(f61(x83861),x83863))+P107(f331(f61(f933(x83861,x83862)),f317(x83861,x83862,x83863,x83864)))
% 204.32/204.32 [8387]~P107(f331(f141(x83872),x83874))+~P107(f331(f141(x83871),x83873))+P107(f331(f141(f934(x83871,x83872)),f59(x83871,x83872,x83873,x83874)))
% 204.32/204.32 [8390]P107(f331(f331(f333(f928(x83901)),f331(f331(f138(x83901),x83902),x83903)),f165(x83901,x83904)))+~P107(f331(f331(f333(f928(x83901)),x83903),f165(x83901,x83904)))+~P107(f331(f331(f333(f928(x83901)),x83902),f165(x83901,x83904)))
% 204.32/204.32 [8670]E(x86701,f2(a927))+P107(f331(x86702,x86703))+~P107(f331(x86702,f779(x86702,x86703,x86701,x86704)))
% 204.32/204.32 [8714]~P109(x87143)+~P107(f331(f141(x87141),f154(x87141,x87143,x87144,x87142)))+P107(f331(f141(x87141),x87142))
% 204.32/204.32 [9000]~P107(f331(f331(f333(f934(x90001,x90001)),f331(f331(f256(x90001,x90001),x90002),x90004)),f311(x90001,x90003)))+P107(f331(f331(f333(x90001),x90002),f320(x90001,x90003)))+~P107(f331(f331(f333(x90001),x90004),f320(x90001,x90003)))
% 204.32/204.32 [5365]~P72(x53652)+E(f331(f331(f6(x53651,x53652),x53653),x53654),f2(x53652))+P107(f331(f61(x53651),x53654))
% 204.32/204.32 [5368]~P71(x53682)+E(f331(f331(f9(x53681,x53682),x53683),x53684),f78(x53682))+P107(f331(f61(x53681),x53684))
% 204.32/204.32 [5511]~P73(x55113)+E(x55111,x55112)+~E(f331(f331(f80(x55113),x55114),x55111),f331(f331(f80(x55113),x55114),x55112))
% 204.32/204.32 [5512]~P74(x55123)+E(x55121,x55122)+~E(f331(f331(f80(x55123),x55124),x55121),f331(f331(f80(x55123),x55124),x55122))
% 204.32/204.32 [5514]~P73(x55143)+E(x55141,x55142)+~E(f331(f331(f80(x55143),x55141),x55144),f331(f331(f80(x55143),x55142),x55144))
% 204.32/204.32 [5634]~P4(x56343)+E(x56341,f192(f935(x56342,a923)))+E(f331(f331(f39(x56342,x56343),x56341),f331(f16(x56343,x56342),x56344)),x56344)
% 204.32/204.32 [5635]~P4(x56353)+E(x56351,f192(f935(x56352,a923)))+E(f331(f331(f40(x56352,x56353),x56351),f331(f16(x56353,x56352),x56354)),x56354)
% 204.32/204.32 [5851]~P111(x58513)+E(x58511,x58512)+~E(f307(x58513,x58514,x58511),f331(f331(f313(x58513),x58512),f192(f935(x58513,a923))))
% 204.32/204.32 [5852]~P111(x58523)+E(x58521,x58522)+~E(f307(x58523,x58521,x58522),f331(f331(f313(x58523),x58524),f192(f935(x58523,a923))))
% 204.32/204.32 [5912]~P36(x59123,x59121,x59124)+P36(x59123,x59121,f331(f331(f155(x59123),x59122),x59124))+P107(f331(x59121,x59122))
% 204.32/204.32 [6014]~P32(x60141,x60142,x60144)+~P107(f331(x60142,x60143))+P32(x60141,x60142,f331(f331(f155(x60141),x60143),x60144))
% 204.32/204.32 [6152]P107(f331(x61521,x61522))+~P107(f331(f252(x61523,x61521),x61524))+~P107(f331(f331(f333(x61523),x61522),x61524))
% 204.32/204.32 [6161]~P32(x61611,x61612,x61614)+~P32(x61611,x61612,x61613)+P32(x61611,x61612,f331(f331(f138(x61611),x61613),x61614))
% 204.32/204.32 [6175]P34(x61751,x61752,x61753)+~P34(x61751,x61752,f331(f331(f155(x61751),x61754),x61753))+P107(f331(x61752,x61754))
% 204.32/204.32 [6176]P36(x61761,x61762,x61763)+~P36(x61761,x61762,f331(f331(f155(x61761),x61764),x61763))+P107(f331(x61762,x61764))
% 204.32/204.32 [6187]E(x61871,x61872)+~P107(f331(f331(f198(x61873),x61874),x61872))+~P107(f331(f331(f198(x61873),x61874),x61871))
% 204.32/204.32 [6254]P34(x62541,x62542,x62543)+P34(x62541,x62542,x62544)+~P34(x62541,x62542,f331(f331(f138(x62541),x62544),x62543))
% 204.32/204.32 [6273]~P72(x62731)+E(f331(f331(f6(a927,x62731),x62732),f331(f306(a927,x62733),f331(a116,x62734))),f2(x62731))+~P107(f331(f331(f240(a927),x62734),x62733))
% 204.32/204.32 [6278]~P62(x62781)+~E(f45(x62781,x62782,x62783),f45(x62781,x62784,x62783))+E(f45(x62781,f331(f79(x62781),x62782),x62783),f45(x62781,f331(f79(x62781),x62784),x62783))
% 204.32/204.32 [6348]P107(f331(x63481,x63482))+~E(f331(f140(x63483,x63481),x63484),x63484)+~P107(f331(f331(f333(x63483),x63482),f331(f176(x63483),x63484)))
% 204.32/204.32 [6367]~E(f331(f331(f80(a927),x63673),x63672),f331(f331(f80(a927),x63671),x63674))+~P107(f331(f331(f240(a927),x63673),x63674))+P107(f331(f331(f240(a927),x63671),x63672))
% 204.32/204.32 [6373]P34(x63731,x63732,x63733)+~P107(f331(x63732,x63734))+~P107(f331(f331(f333(x63731),x63734),f331(f176(x63731),x63733)))
% 204.32/204.32 [6412]~P32(x64123,x64121,x64124)+P107(f331(x64121,x64122))+~P107(f331(f331(f333(x64123),x64122),f331(f176(x64123),x64124)))
% 204.32/204.32 [6414]~E(f331(f140(x64141,x64142),x64143),f117(x64141))+~P107(f331(x64142,x64144))+~P107(f331(f331(f333(x64141),x64144),f331(f176(x64141),x64143)))
% 204.32/204.32 [6415]~E(f181(x64153,x64151,x64154),x64154)+P107(f331(x64151,x64152))+~P107(f331(f331(f333(x64153),x64152),f331(f176(x64153),x64154)))
% 204.32/204.32 [6442]~E(x64424,f192(f935(x64422,a923)))+~E(x64423,f192(f935(x64421,a923)))+E(f317(x64421,x64422,x64423,x64424),f192(f935(f933(x64421,x64422),a923)))
% 204.32/204.32 [6590]P107(f331(x65901,x65902))+~P107(f331(f164(x65903,x65901),x65904))+~P107(f331(f331(f333(x65903),x65902),f331(f176(x65903),x65904)))
% 204.32/204.32 [6726]~P31(x67261,x67263,x67264)+P107(f331(x67261,x67262))+~P107(f331(f331(f333(a927),x67262),f331(f306(a927,x67263),x67264)))
% 204.32/204.32 [6861]~P72(x68611)+E(f331(f331(f6(a927,x68611),x68612),f307(a927,x68613,f331(a116,x68614))),f2(x68611))+~P107(f331(f331(f240(a927),f331(a116,x68614)),x68613))
% 204.32/204.32 [7001]~P109(x70011)+E(f331(f331(f23(f935(x70011,a923)),f331(f306(x70011,x70012),x70013)),f331(f306(x70011,x70012),x70014)),f331(f306(x70011,x70014),x70013))+~P107(f331(f331(f239(x70011),x70012),x70014))
% 204.32/204.32 [7072]~E(x70723,x70724)+E(x70721,f2(a927))+P107(f331(f331(f333(x70722),x70723),f331(f176(x70722),f173(x70722,x70721,x70724))))
% 204.32/204.32 [7353]~P107(f331(f331(f333(f928(x73531)),x73534),f165(x73531,x73533)))+P107(f331(f331(f333(x73531),x73532),x73533))+~P107(f331(f331(f333(x73531),x73532),f331(f176(x73531),x73534)))
% 204.32/204.32 [7360]~P38(x73601,x73602)+P107(f331(f331(f333(x73601),f622(x73602,x73601,x73603)),x73603))+~P107(f331(f331(f333(x73601),x73604),x73603))
% 204.32/204.32 [7415]~P72(x74151)+E(f331(f331(f331(f65(x74151,x74152,f80(x74151)),x74153),f2(x74151)),x74154),f331(f331(f6(x74152,x74151),x74153),x74154))+~P107(f331(f61(x74152),x74154))
% 204.32/204.32 [7417]~P71(x74171)+E(f331(f331(f331(f65(x74171,x74172,f81(x74171)),x74173),f78(x74171)),x74174),f331(f331(f9(x74172,x74171),x74173),x74174))+~P107(f331(f61(x74172),x74174))
% 204.32/204.32 [7446]P24(x74461,x74462,x74463,x74464)+~E(f331(f35(x74462),f331(f314(x74461,x74462,x74463),x74464)),f331(f35(x74461),x74464))+~P107(f331(f61(x74461),x74464))
% 204.32/204.32 [7636]~P72(x76361)+E(f331(f331(f80(x76361),f331(x76362,x76363)),f331(f331(f6(a927,x76361),x76362),f309(a927,x76363,x76364))),f331(f331(f6(a927,x76361),x76362),f307(a927,x76363,x76364)))+~P107(f331(f331(f239(a927),x76363),x76364))
% 204.32/204.32 [7646]~P72(x76461)+~P24(x76462,x76461,x76463,x76464)+E(f331(f331(f6(x76461,x76461),f32(x76461)),f331(f314(x76462,x76461,x76463),x76464)),f331(f331(f6(x76462,x76461),x76463),x76464))
% 204.32/204.32 [7647]~P71(x76471)+~P24(x76472,x76471,x76473,x76474)+E(f331(f331(f9(x76471,x76471),f32(x76471)),f331(f314(x76472,x76471,x76473),x76474)),f331(f331(f9(x76472,x76471),x76473),x76474))
% 204.32/204.32 [7696]E(f331(f35(f933(x76961,x76962)),f317(x76961,x76962,x76963,x76964)),f331(f331(f80(a927),f331(f35(x76961),x76963)),f331(f35(x76962),x76964)))+~P107(f331(f61(x76962),x76964))+~P107(f331(f61(x76961),x76963))
% 204.32/204.32 [7777]E(x77771,x77772)+P107(f331(f331(f333(x77773),x77771),f331(f176(x77773),f174(x77773,x77772,x77774))))+~P107(f331(f331(f333(x77773),x77771),f331(f176(x77773),x77774)))
% 204.32/204.32 [8005]~P72(x80051)+E(f331(f331(f80(x80051),f331(f331(f6(a927,x80051),x80052),f331(f306(a927,x80053),x80054))),f331(x80052,x80054)),f331(f331(f6(a927,x80051),x80052),f331(f306(a927,x80053),f331(a116,x80054))))+P107(f331(f331(f240(a927),x80054),x80053))
% 204.32/204.32 [8059]~P24(x80591,x80592,x80593,f246(f935(x80591,a923)))+~P107(f331(f61(x80592),x80594))+P107(f331(f61(x80591),f331(f315(x80591,x80592,x80593),x80594)))
% 204.32/204.32 [8173]P107(f331(f331(f333(f928(x81731)),f331(f331(f155(x81731),x81732),x81733)),f165(x81731,x81734)))+~P107(f331(f331(f333(f928(x81731)),x81733),f165(x81731,x81734)))+~P107(f331(f331(f333(x81731),x81732),x81734))
% 204.32/204.32 [8262]~E(f331(f314(x82623,x82621,x82624),f246(f935(x82623,a923))),f246(f935(x82621,a923)))+P107(f331(f61(x82621),x82622))+~P107(f331(f61(x82623),f331(f315(x82623,x82621,x82624),x82622)))
% 204.32/204.32 [8356]~P24(x83561,x83563,x83564,x83562)+P107(f331(f61(x83561),x83562))+~P107(f331(f61(x83563),f331(f314(x83561,x83563,x83564),x83562)))
% 204.32/204.32 [8380]~E(x83802,x83803)+P107(f331(f331(f333(f934(x83801,x83801)),f331(f331(f256(x83801,x83801),x83802),x83803)),f267(x83801,x83804)))+~P107(f331(f331(f333(x83801),x83802),x83804))
% 204.32/204.32 [8414]~P72(x84141)+E(f331(f331(f80(x84141),f331(f331(f6(a927,x84141),x84142),f307(a927,x84143,x84144))),f331(x84142,f331(a116,x84144))),f331(f331(f6(a927,x84141),x84142),f307(a927,x84143,f331(a116,x84144))))+P107(f331(f331(f240(a927),f331(a116,x84144)),x84143))
% 204.32/204.32 [8474]P107(f331(x84741,x84742))+~P107(f331(x84741,f331(f331(f168(x84743),x84744),f669(x84741,x84744,x84743))))+~P107(f331(f331(f333(x84743),x84742),f331(f176(x84743),x84744)))
% 204.32/204.32 [8614]~P107(f331(f331(f333(x86141),x86142),f320(x86141,x86144)))+P107(f331(f331(f333(f928(x86141)),f331(f331(f155(x86141),x86142),x86143)),f320(f928(x86141),f161(x86141,x86144))))+~P107(f331(f331(f333(f928(x86141)),x86143),f320(f928(x86141),f161(x86141,x86144))))
% 204.32/204.32 [8629]~P24(x86292,x86293,x86294,f551(x86294,x86293,x86292,x86291))+P24(x86292,x86293,x86294,f38(f935(x86292,a923),x86291))+E(x86291,f192(f935(f935(x86292,a923),a923)))
% 204.32/204.32 [8909]E(x89091,x89092)+~P107(f331(f331(f333(f934(x89093,x89093)),f331(f331(f256(x89093,x89093),x89091),x89092)),f311(x89093,x89094)))+P107(f331(f331(f333(x89093),x89091),f331(f268(x89093,x89093),x89094)))
% 204.32/204.32 [9189]E(x91891,f2(a927))+P107(f331(x91892,x91893))+P107(f331(f331(f333(x91894),f779(x91892,x91893,x91891,x91894)),f331(f176(x91894),f173(x91894,x91891,x91893))))
% 204.32/204.32 [9201]E(x92011,f2(a927))+~P107(f331(x92013,x92014))+P107(f331(f331(f333(x92012),f778(x92013,x92014,x92011,x92012)),f331(f176(x92012),f173(x92012,x92011,x92014))))
% 204.32/204.32 [9203]~P25(x92031,x92032,x92033,f246(f935(x92031,a923)),f246(f935(x92032,a923)))+~P107(f331(f61(x92032),x92034))+P107(f331(f61(x92031),f331(f315(x92031,x92032,x92033),x92034)))
% 204.32/204.32 [9206]P24(x92062,x92063,x92064,f38(f935(x92062,a923),x92061))+E(x92061,f192(f935(f935(x92062,a923),a923)))+P107(f331(f331(f333(f935(x92062,a923)),f551(x92064,x92063,x92062,x92061)),x92061))
% 204.32/204.32 [9324]~P25(x93243,x93241,x93244,f246(f935(x93243,a923)),f246(f935(x93241,a923)))+P107(f331(f61(x93241),x93242))+~P107(f331(f61(x93243),f331(f315(x93243,x93241,x93244),x93242)))
% 204.32/204.32 [9341]P107(f331(f61(x93411),x93412))+~P107(f331(f61(x93414),f331(f314(x93411,x93414,x93413),x93412)))+P107(f331(f331(f333(x93411),f469(x93413,x93414,x93412,x93411)),x93412))
% 204.32/204.32 [9438]~P4(x94382)+E(f331(f331(f64(x94381,x94382,f331(f331(f8(x94382,f935(x94382,x94382),x94381),f114(x94382)),x94383)),f192(x94382)),x94384),f331(f331(f39(x94381,x94382),x94384),x94383))+~P107(f331(f61(x94381),x94384))
% 204.32/204.32 [9439]~P4(x94392)+E(f331(f331(f64(x94391,x94392,f331(f331(f8(x94392,f935(x94392,x94392),x94391),f105(x94392)),x94393)),f246(x94392)),x94394),f331(f331(f40(x94391,x94392),x94394),x94393))+~P107(f331(f61(x94391),x94394))
% 204.32/204.32 [9467]~P107(f331(f331(f291(a927),x94673),x94674))+P107(f331(f331(f291(a927),x94671),x94672))+P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x94671,x94672)),f300(a927,f291(a927),x94673,x94674)))
% 204.32/204.32 [9480]~P107(f331(f331(f291(a927),x94802),x94804))+~P107(f331(f331(f291(a927),x94803),x94801))+P107(f331(f331(f239(f935(a927,a923)),f300(a927,f291(a927),x94801,x94802)),f300(a927,f291(a927),x94803,x94804)))
% 204.32/204.32 [9524]P107(f331(x95241,x95242))+~P107(f331(x95241,f331(f331(f168(x95243),x95244),f706(x95242,x95241,x95244,x95243))))+~P107(f331(f331(f333(x95243),x95242),f331(f176(x95243),x95244)))
% 204.32/204.32 [9545]E(x95451,x95452)+~P107(f331(f331(f333(f934(x95453,x95453)),f331(f331(f256(x95453,x95453),x95451),x95452)),f311(x95453,x95454)))+P107(f331(f331(f333(f934(x95453,x95453)),f331(f331(f256(x95453,x95453),x95451),x95452)),f331(f331(f293(x95453,x95453,x95453),x95454),f311(x95453,x95454))))
% 204.32/204.32 [9597]~E(f331(f193(f928(x95971)),x95972),f331(f193(f928(x95971)),x95973))+~P107(f331(f331(f333(f934(f928(x95971),f928(x95971))),f331(f331(f256(f928(x95971),f928(x95971)),x95972),x95973)),f151(x95971,x95974)))+P107(f331(f331(f333(f934(f928(x95971),f928(x95971))),f331(f331(f256(f928(x95971),f928(x95971)),x95972),x95973)),f149(x95971,x95974)))
% 204.32/204.32 [9718]P107(f331(f331(f291(a927),x97181),x97182))+~P107(f331(f331(f291(a927),x97183),x97181))+~P107(f331(f331(f239(f935(a927,a923)),f300(a927,f291(a927),x97183,x97181)),f300(a927,f291(a927),x97184,x97182)))
% 204.32/204.32 [9719]P107(f331(f331(f291(a927),x97191),x97192))+~P107(f331(f331(f291(a927),x97193),x97191))+~P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x97193,x97191)),f300(a927,f291(a927),x97194,x97192)))
% 204.32/204.32 [9720]P107(f331(f331(f291(a927),x97201),x97202))+~P107(f331(f331(f291(a927),x97202),x97203))+~P107(f331(f331(f239(f935(a927,a923)),f300(a927,f291(a927),x97202,x97203)),f300(a927,f291(a927),x97201,x97204)))
% 204.32/204.32 [9721]P107(f331(f331(f291(a927),x97211),x97212))+~P107(f331(f331(f291(a927),x97212),x97213))+~P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x97212,x97213)),f300(a927,f291(a927),x97211,x97214)))
% 204.32/204.32 [9841]P32(x98411,f331(f331(f18(x98411,a923,a923),f331(f331(f8(a923,f935(a923,a923),x98411),a330),f331(f331(f8(a923,a923,x98411),a326),x98412))),f331(a328,x98413)),x98414)+~P107(f331(x98412,x98413))+~P36(x98411,x98412,f331(f331(f155(x98411),x98413),x98414))
% 204.32/204.32 [10006]~P32(x100061,f331(f331(f18(x100061,a923,a923),f331(f331(f8(a923,f935(a923,a923),x100061),a330),f331(f331(f8(a923,a923,x100061),a326),x100062))),f331(a328,x100063)),x100064)+~P107(f331(x100062,x100063))+P36(x100061,x100062,f331(f331(f155(x100061),x100063),x100064))
% 204.32/204.32 [10010]~P36(x100101,x100102,x100104)+~P32(x100101,f331(f331(f18(x100101,a923,a923),f331(f331(f8(a923,f935(a923,a923),x100101),a330),f331(f331(f8(a923,a923,x100101),a326),x100102))),f331(a328,x100103)),x100104)+P36(x100101,x100102,f331(f331(f155(x100101),x100103),x100104))
% 204.32/204.32 [10043]~P68(x100431)+E(f331(f331(f6(a927,x100431),f331(f331(f18(a927,x100431,x100431),f331(f331(f8(x100431,f935(x100431,x100431),a927),f23(x100431)),x100432)),f331(f331(f8(a927,x100431,a927),x100432),f331(f331(f7(a927,a927,a927),f80(a927)),f78(a927))))),f307(a927,x100433,x100434)),f2(x100431))+P107(f331(f331(f239(a927),x100433),x100434))
% 204.32/204.32 [10272]~P38(x102722,x102724)+~P24(x102722,x102721,x102723,f246(f935(x102722,a923)))+P38(x102721,f331(f314(f934(x102722,x102722),f934(x102721,x102721),f262(x102722,x102721,x102722,x102721,x102723,x102723)),x102724))
% 204.32/204.32 [10469]~E(f331(f193(f928(x104691)),x104693),f331(f193(f928(x104691)),x104692))+P107(f331(f331(f333(f934(f928(x104691),f928(x104691))),f331(f331(f256(f928(x104691),f928(x104691)),x104692),x104693)),f162(x104691,x104694)))+~P107(f331(f331(f261(x104691,x104691,a923),f331(f331(f7(x104691,f935(f934(x104691,x104691),a923),f935(x104691,a923)),f331(f331(f8(f935(x104691,f935(f935(f934(x104691,x104691),a923),a923)),f935(f935(f934(x104691,x104691),a923),f935(x104691,a923)),x104691),f7(x104691,f935(f934(x104691,x104691),a923),a923)),f331(f331(f8(f935(x104691,f934(x104691,x104691)),f935(x104691,f935(f935(f934(x104691,x104691),a923),a923)),x104691),f331(f8(f934(x104691,x104691),f935(f935(f934(x104691,x104691),a923),a923),x104691),f333(f934(x104691,x104691)))),f256(x104691,x104691)))),x104694)),f673(x104694,x104693,x104692,x104691)))
% 204.32/204.32 [6236]~E(x62364,x62362)+P107(f331(x62361,x62362))+P107(f331(f331(f198(f29(x62361,x62363)),x62362),x62364))
% 204.32/204.32 [6329]~P61(x63291)+~E(x63292,f2(x63291))+E(f331(f331(f36(x63291),f331(f331(f81(x63291),x63292),x63293)),f331(f331(f81(x63291),x63292),x63294)),f2(x63291))
% 204.32/204.32 [6370]E(x63701,f117(x63702))+E(x63703,f331(f331(f23(a927),f331(f193(f928(x63702)),x63701)),f78(a927)))+E(f148(x63702,f331(f331(f163(x63702,x63701),x63703),x63704)),f148(x63702,x63701))
% 204.32/204.32 [6403]E(x64031,x64032)+P107(f331(x64033,x64032))+~P107(f331(f331(f331(f313(x64034),x64031),x64033),x64032))
% 204.32/204.32 [6419]~P72(x64191)+~P107(f331(f141(x64192),x64194))+E(f331(f169(x64191),f331(f331(f158(x64192,x64191),x64193),x64194)),f331(f331(f6(x64192,x64191),x64193),f331(f176(x64192),x64194)))
% 204.32/204.32 [6435]~P71(x64352)+~P107(f331(f61(x64351),x64354))+E(f331(f331(f9(x64351,x64352),f331(f16(x64352,x64351),x64353)),x64354),f331(f331(f248(x64352),x64353),f331(f35(x64351),x64354)))
% 204.32/204.32 [6489]~P64(x64892)+E(x64891,f2(x64892))+E(f331(f331(f294(x64892),f331(f331(f81(x64892),x64893),x64891)),f331(f331(f81(x64892),x64894),x64891)),f331(f331(f294(x64892),x64893),x64894))
% 204.32/204.32 [6490]~P64(x64902)+E(x64901,f2(x64902))+E(f331(f331(f294(x64902),f331(f331(f81(x64902),x64901),x64903)),f331(f331(f81(x64902),x64901),x64904)),f331(f331(f294(x64902),x64903),x64904))
% 204.32/204.32 [6491]~P61(x64912)+E(x64911,f2(x64912))+E(f331(f331(f36(x64912),f331(f331(f81(x64912),x64913),x64911)),f331(f331(f81(x64912),x64914),x64911)),f331(f331(f36(x64912),x64913),x64914))
% 204.32/204.32 [6493]~P61(x64932)+E(x64931,f2(x64932))+E(f331(f331(f36(x64932),f331(f331(f81(x64932),x64931),x64933)),f331(f331(f81(x64932),x64931),x64934)),f331(f331(f36(x64932),x64933),x64934))
% 204.32/204.32 [6558]P107(f331(x65581,x65582))+~E(x65583,f331(f331(f80(a927),x65584),x65582))+~P107(f331(x65581,f331(f331(f23(a927),x65583),x65584)))
% 204.32/204.32 [6644]~P107(f331(x66442,x66443))+~P107(f331(f164(x66441,x66442),x66444))+P107(f331(f164(x66441,x66442),f331(f331(f155(x66441),x66443),x66444)))
% 204.32/204.32 [6685]E(x66851,f117(x66852))+~E(x66853,f331(f331(f23(a927),f331(f193(f928(x66852)),x66851)),f78(a927)))+E(f148(x66852,f331(f331(f163(x66852,x66851),x66853),x66854)),x66854)
% 204.32/204.32 [6708]~P102(x67081)+~P107(f331(f331(f239(x67081),x67082),x67084))+P107(f331(f331(f239(x67081),x67082),f331(f331(f114(x67081),x67083),x67084)))
% 204.32/204.32 [6709]~P102(x67091)+~P107(f331(f331(f239(x67091),x67092),x67093))+P107(f331(f331(f239(x67091),x67092),f331(f331(f114(x67091),x67093),x67094)))
% 204.32/204.32 [6711]~P109(x67111)+~P107(f331(f331(f239(x67111),x67112),x67114))+P107(f331(f331(f239(x67111),x67112),f331(f331(f238(x67111),x67113),x67114)))
% 204.32/204.32 [6713]~P109(x67131)+~P107(f331(f331(f239(x67131),x67132),x67133))+P107(f331(f331(f239(x67131),x67132),f331(f331(f238(x67131),x67133),x67134)))
% 204.32/204.32 [6714]~P102(x67141)+~P107(f331(f331(f240(x67141),x67142),x67144))+P107(f331(f331(f240(x67141),x67142),f331(f331(f114(x67141),x67143),x67144)))
% 204.32/204.32 [6715]~P102(x67151)+~P107(f331(f331(f240(x67151),x67152),x67153))+P107(f331(f331(f240(x67151),x67152),f331(f331(f114(x67151),x67153),x67154)))
% 204.32/204.32 [6717]~P109(x67171)+~P107(f331(f331(f240(x67171),x67172),x67174))+P107(f331(f331(f240(x67171),x67172),f331(f331(f238(x67171),x67173),x67174)))
% 204.32/204.32 [6719]~P109(x67191)+~P107(f331(f331(f240(x67191),x67192),x67193))+P107(f331(f331(f240(x67191),x67192),f331(f331(f238(x67191),x67193),x67194)))
% 204.32/204.32 [6806]~E(f331(f331(f168(x68061),x68062),x68063),x68064)+E(f331(f331(f163(x68061,x68062),x68063),x68064),x68062)+~P107(f331(f331(f240(a927),x68063),f331(f193(f928(x68061)),x68062)))
% 204.32/204.32 [6824]E(x68241,x68242)+P107(f331(x68243,x68241))+~P107(f331(f331(f198(f29(x68243,x68244)),x68241),x68242))
% 204.32/204.32 [6847]P107(f331(x68471,x68472))+~P107(f331(x68473,x68472))+~P107(f331(f331(f239(f935(x68474,a923)),x68473),x68471))
% 204.32/204.32 [6878]~E(f331(f331(f163(x68781,x68782),x68783),x68784),x68782)+E(f331(f331(f168(x68781),x68782),x68783),x68784)+~P107(f331(f331(f240(a927),x68783),f331(f193(f928(x68781)),x68782)))
% 204.32/204.32 [6892]~P107(f331(f164(x68921,x68922),x68924))+~P107(f331(f164(x68921,x68922),x68923))+P107(f331(f164(x68921,x68922),f331(f331(f138(x68921),x68923),x68924)))
% 204.32/204.32 [6997]E(x69971,f192(f935(x69972,a923)))+E(x69973,f192(f935(x69974,a923)))+~E(f331(f331(f258(x69974,x69972),x69973),f331(f16(f935(x69972,a923),x69974),x69971)),f192(f935(f934(x69974,x69972),a923)))
% 204.32/204.32 [7017]E(x70171,x70172)+P107(f331(f331(f333(x70173),x70171),x70174))+~P107(f331(f331(f333(x70173),x70171),f331(f331(f313(x70173),x70172),x70174)))
% 204.32/204.32 [7034]~P109(x70341)+P107(f331(f331(f239(x70341),x70342),x70343))+~P107(f331(f331(f239(x70341),x70342),f331(f331(f237(x70341),x70344),x70343)))
% 204.32/204.32 [7036]~P109(x70361)+P107(f331(f331(f239(x70361),x70362),x70363))+~P107(f331(f331(f239(x70361),x70362),f331(f331(f237(x70361),x70363),x70364)))
% 204.32/204.32 [7038]~P103(x70381)+P107(f331(f331(f239(x70381),x70382),x70383))+~P107(f331(f331(f239(x70381),x70382),f331(f331(f105(x70381),x70384),x70383)))
% 204.32/204.32 [7040]~P103(x70401)+P107(f331(f331(f239(x70401),x70402),x70403))+~P107(f331(f331(f239(x70401),x70402),f331(f331(f105(x70401),x70403),x70404)))
% 204.32/204.32 [7041]~P109(x70411)+P107(f331(f331(f240(x70411),x70412),x70413))+~P107(f331(f331(f240(x70411),x70412),f331(f331(f237(x70411),x70414),x70413)))
% 204.32/204.32 [7042]~P109(x70421)+P107(f331(f331(f240(x70421),x70422),x70423))+~P107(f331(f331(f240(x70421),x70422),f331(f331(f237(x70421),x70423),x70424)))
% 204.32/204.32 [7063]~E(f331(f331(f168(x70631),x70633),x70634),x70632)+P107(f331(f331(f333(x70631),x70632),f331(f176(x70631),x70633)))+~P107(f331(f331(f240(a927),x70634),f331(f193(f928(x70631)),x70633)))
% 204.32/204.32 [7073]~P109(x70731)+~P12(x70731,f331(f331(f155(x70731),x70732),f331(f331(f155(x70731),x70733),x70734)))+P107(f331(f331(f239(x70731),x70732),x70733))
% 204.32/204.32 [7216]~P32(x72162,x72161,x72163)+P107(f331(x72161,f331(f331(f168(x72162),x72163),x72164)))+~P107(f331(f331(f240(a927),x72164),f331(f193(f928(x72162)),x72163)))
% 204.32/204.32 [7234]E(x72341,f2(a1))+E(f331(f331(f36(a1),x72342),x72341),x72343)+~P107(f331(f49(x72342,x72341),f331(f331(f256(a1,a1),x72343),x72344)))
% 204.32/204.32 [7256]E(f45(a1,x72562,x72561),x72563)+E(x72561,f2(a1))+~P107(f331(f49(x72562,x72561),f331(f331(f256(a1,a1),x72564),x72563)))
% 204.32/204.32 [7377]P107(f331(f331(f333(x73771),x73772),x73773))+~P107(f331(f331(f333(x73771),x73772),x73774))+~P107(f331(f331(f240(f935(x73771,a923)),x73774),x73773))
% 204.32/204.32 [7378]P107(f331(f331(f333(x73781),x73782),x73783))+~P107(f331(f331(f333(x73781),x73782),x73784))+~P107(f331(f331(f239(f935(x73781,a923)),x73784),x73783))
% 204.32/204.32 [7490]P34(x74901,x74902,x74903)+~P107(f331(x74902,f331(f331(f168(x74901),x74903),x74904)))+~P107(f331(f331(f240(a927),x74904),f331(f193(f928(x74901)),x74903)))
% 204.32/204.32 [7601]~P110(x76012)+~P107(f331(f331(f240(f935(x76011,x76012)),x76013),x76014))+P107(f331(f331(f239(f935(x76011,x76012)),x76013),x76014))
% 204.32/204.32 [7685]~P23(x76851,x76852,x76854)+P23(x76851,x76852,f331(f331(f313(f926(x76851)),x76853),x76854))+~P23(x76851,x76852,f331(f331(f313(f926(x76851)),x76853),f192(f935(f926(x76851),a923))))
% 204.32/204.32 [7728]~P107(f331(f331(f333(x77281),x77282),x77284))+P107(f331(f331(f333(x77281),x77282),f37(f935(x77281,a923),x77283)))+~P107(f331(f331(f333(f935(x77281,a923)),x77284),x77283))
% 204.32/204.32 [7730]~P120(x77301)+~P107(f331(f331(f239(a927),x77303),x77304))+P107(f331(f331(f291(x77301),f331(f331(f248(x77301),x77302),x77303)),f331(f331(f248(x77301),x77302),x77304)))
% 204.32/204.32 [7757]~P86(x77571)+~P107(f331(f331(f239(x77571),x77573),x77574))+P107(f331(f331(f239(x77571),f331(f331(f80(x77571),x77572),x77573)),f331(f331(f80(x77571),x77572),x77574)))
% 204.32/204.32 [7758]~P87(x77581)+~P107(f331(f331(f239(x77581),x77583),x77584))+P107(f331(f331(f239(x77581),f331(f331(f80(x77581),x77582),x77583)),f331(f331(f80(x77581),x77582),x77584)))
% 204.32/204.32 [7759]~P86(x77591)+~P107(f331(f331(f239(x77591),x77592),x77594))+P107(f331(f331(f239(x77591),f331(f331(f80(x77591),x77592),x77593)),f331(f331(f80(x77591),x77594),x77593)))
% 204.32/204.32 [7760]~P87(x77601)+~P107(f331(f331(f239(x77601),x77602),x77604))+P107(f331(f331(f239(x77601),f331(f331(f80(x77601),x77602),x77603)),f331(f331(f80(x77601),x77604),x77603)))
% 204.32/204.32 [7761]~P85(x77611)+~P107(f331(f331(f240(x77611),x77613),x77614))+P107(f331(f331(f240(x77611),f331(f331(f80(x77611),x77612),x77613)),f331(f331(f80(x77611),x77612),x77614)))
% 204.32/204.32 [7762]~P86(x77621)+~P107(f331(f331(f240(x77621),x77623),x77624))+P107(f331(f331(f240(x77621),f331(f331(f80(x77621),x77622),x77623)),f331(f331(f80(x77621),x77622),x77624)))
% 204.32/204.32 [7763]~P85(x77631)+~P107(f331(f331(f240(x77631),x77632),x77634))+P107(f331(f331(f240(x77631),f331(f331(f80(x77631),x77632),x77633)),f331(f331(f80(x77631),x77634),x77633)))
% 204.32/204.32 [7764]~P86(x77641)+~P107(f331(f331(f240(x77641),x77642),x77644))+P107(f331(f331(f240(x77641),f331(f331(f80(x77641),x77642),x77643)),f331(f331(f80(x77641),x77644),x77643)))
% 204.32/204.32 [7771]~P112(x77711)+~P96(x77711)+E(f331(f331(f23(x77711),f331(f331(f81(x77711),x77712),f331(f107(x77711),x77713))),f331(f331(f81(x77711),x77714),f331(f107(x77711),x77713))),f331(f331(f81(x77711),f331(f331(f23(x77711),x77712),x77714)),f331(f107(x77711),x77713)))
% 204.32/204.32 [7772]~P141(x77721)+~P96(x77721)+E(f331(f331(f80(x77721),f331(f331(f81(x77721),x77722),f331(f107(x77721),x77723))),f331(f331(f81(x77721),x77724),f331(f107(x77721),x77723))),f331(f331(f81(x77721),f331(f331(f80(x77721),x77722),x77724)),f331(f107(x77721),x77723)))
% 204.32/204.32 [7808]~P72(x78081)+E(f331(f331(f80(x78081),f331(x78082,x78083)),f331(f331(f6(a927,x78081),x78082),f307(a927,f331(a116,x78083),x78084))),f331(f331(f6(a927,x78081),x78082),f307(a927,x78083,x78084)))+~P107(f331(f331(f239(a927),x78083),x78084))
% 204.32/204.32 [7820]~P24(x78202,x78201,x78203,f331(f176(x78202),x78204))+~P107(f331(f141(x78202),x78204))+P107(f331(f141(x78201),f331(f331(f158(x78202,x78201),x78203),x78204)))
% 204.32/204.32 [7867]~P107(f331(f331(f239(a927),x78672),x78674))+~P107(f331(f331(f239(a927),x78671),x78673))+P107(f331(f331(f239(a927),f331(f331(f81(a927),x78671),x78672)),f331(f331(f81(a927),x78673),x78674)))
% 204.32/204.32 [7868]~P107(f331(f331(f239(a927),x78682),x78684))+~P107(f331(f331(f239(a927),x78681),x78683))+P107(f331(f331(f239(a927),f331(f331(f80(a927),x78681),x78682)),f331(f331(f80(a927),x78683),x78684)))
% 204.32/204.32 [7871]~P107(f331(f331(f240(a927),x78712),x78714))+~P107(f331(f331(f240(a927),x78711),x78713))+P107(f331(f331(f240(a927),f331(f331(f80(a927),x78711),x78712)),f331(f331(f80(a927),x78713),x78714)))
% 204.32/204.32 [7872]~P107(f331(f331(f239(a1),x78722),x78724))+~P107(f331(f331(f240(a1),x78721),x78723))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x78721),x78722)),f331(f331(f80(a1),x78723),x78724)))
% 204.32/204.32 [7920]P107(f331(f331(f333(x79201),x79202),x79203))+~P107(f331(f331(f333(x79201),x79202),f38(f935(x79201,a923),x79204)))+~P107(f331(f331(f333(f935(x79201,a923)),x79203),x79204))
% 204.32/204.32 [7937]~P107(f331(x79371,f667(x79371,x79373,x79372)))+P107(f331(x79371,f331(f331(f168(x79372),x79373),x79374)))+~P107(f331(f331(f240(a927),x79374),f331(f193(f928(x79372)),x79373)))
% 204.32/204.32 [7942]P107(f331(x79421,x79422))+~P107(f331(f331(f333(x79424),x79422),f331(f176(x79424),x79423)))+P107(f331(f331(f240(a927),f669(x79421,x79423,x79424)),f331(f193(f928(x79424)),x79423)))
% 204.32/204.32 [7959]~P107(f331(f331(f198(x79592),x79593),x79594))+~P107(f331(f331(f198(f29(x79591,x79592)),x79594),x79593))+P107(f331(f331(f198(f29(x79591,x79592)),x79593),x79593))
% 204.32/204.32 [7990]~P110(x79901)+~P107(f331(f331(f240(f935(x79902,x79901)),x79904),x79903))+~P107(f331(f331(f239(f935(x79902,x79901)),x79903),x79904))
% 204.32/204.32 [8036]~P107(f331(x80364,x80362))+~P107(f331(f331(f333(x80361),x80362),x80363))+P107(f331(f331(f333(x80361),x80362),f331(f331(f105(f935(x80361,a923)),x80363),f331(f266(x80361),x80364))))
% 204.32/204.32 [8180]~P107(f331(f331(f333(x81801),x81803),x81804))+~P107(f331(f331(f240(f935(x81801,a923)),x81802),x81804))+P107(f331(f331(f240(f935(x81801,a923)),x81802),f331(f331(f313(x81801),x81803),x81804)))
% 204.32/204.32 [8182]E(f331(f331(f105(f935(x81821,a923)),x81822),x81823),f192(f935(x81821,a923)))+~E(f331(f331(f105(f935(x81821,a923)),f37(f935(x81821,a923),x81824)),x81823),f192(f935(x81821,a923)))+~P107(f331(f331(f333(f935(x81821,a923)),x81822),x81824))
% 204.32/204.32 [8258]P107(f331(f331(f333(x82581),x82582),x82583))+~P107(f331(f331(f239(f935(x82581,a923)),x82583),f331(f331(f313(x82581),x82582),x82584)))+P107(f331(f331(f239(f935(x82581,a923)),x82583),x82584))
% 204.32/204.32 [8278]P107(f331(f331(f333(x82782),f667(x82781,x82783,x82782)),f331(f176(x82782),x82783)))+P107(f331(x82781,f331(f331(f168(x82782),x82783),x82784)))+~P107(f331(f331(f240(a927),x82784),f331(f193(f928(x82782)),x82783)))
% 204.32/204.32 [8286]~P107(f331(f331(f239(f935(x82861,a923)),x82862),x82864))+P107(f331(f331(f239(f935(x82861,a923)),x82862),x82863))+~P107(f331(f331(f239(f935(x82861,a923)),x82864),x82863))
% 204.32/204.32 [8287]~P107(f331(f331(f240(f935(x82871,a923)),x82872),x82874))+~P107(f331(f331(f239(f935(x82871,a923)),x82874),x82873))+P107(f331(f331(f240(f935(x82871,a923)),x82872),x82873))
% 204.32/204.32 [8288]~P107(f331(f331(f239(f935(x82881,a923)),x82882),x82884))+~P107(f331(f331(f240(f935(x82881,a923)),x82884),x82883))+P107(f331(f331(f240(f935(x82881,a923)),x82882),x82883))
% 204.32/204.32 [8289]~P107(f331(f331(f240(f935(x82891,a923)),x82892),x82894))+P107(f331(f331(f240(f935(x82891,a923)),x82892),x82893))+~P107(f331(f331(f240(f935(x82891,a923)),x82894),x82893))
% 204.32/204.32 [8332]~P107(f331(f331(f333(x83321),x83324),x83323))+~P107(f331(f331(f240(f935(x83321,a923)),x83322),f331(f331(f313(x83321),x83324),x83323)))+P107(f331(f331(f240(f935(x83321,a923)),x83322),x83323))
% 204.32/204.32 [8343]~P86(x83431)+P107(f331(f331(f239(x83431),x83432),x83433))+~P107(f331(f331(f239(x83431),f331(f331(f80(x83431),x83434),x83432)),f331(f331(f80(x83431),x83434),x83433)))
% 204.32/204.32 [8345]~P86(x83451)+P107(f331(f331(f239(x83451),x83452),x83453))+~P107(f331(f331(f239(x83451),f331(f331(f80(x83451),x83452),x83454)),f331(f331(f80(x83451),x83453),x83454)))
% 204.32/204.32 [8347]~P86(x83471)+P107(f331(f331(f240(x83471),x83472),x83473))+~P107(f331(f331(f240(x83471),f331(f331(f80(x83471),x83474),x83472)),f331(f331(f80(x83471),x83474),x83473)))
% 204.32/204.32 [8349]~P86(x83491)+P107(f331(f331(f240(x83491),x83492),x83493))+~P107(f331(f331(f240(x83491),f331(f331(f80(x83491),x83492),x83494)),f331(f331(f80(x83491),x83493),x83494)))
% 204.32/204.32 [8397]P107(f331(x83971,x83972))+~E(f331(f331(f142(x83973),f331(f193(f928(x83973)),f181(x83973,x83971,x83974))),x83974),f117(x83973))+~P107(f331(f331(f333(x83973),x83972),f331(f176(x83973),x83974)))
% 204.32/204.32 [8516]P107(f331(x85161,x85162))+~P107(f331(f331(f333(x85163),x85162),f331(f176(x85163),x85164)))+P107(f331(f331(f240(a927),f331(f193(f928(x85163)),f331(f140(x85163,x85161),x85164))),f331(f193(f928(x85163)),x85164)))
% 204.32/204.32 [8646]E(x86461,x86462)+P107(f331(f331(f198(x86463),x86461),f476(x86462,x86461,x86463,x86464)))+~P107(f331(f331(f198(f29(x86464,x86463)),x86461),x86462))
% 204.32/204.32 [8675]~P107(f331(x86754,x86752))+P107(f331(f331(f198(x86751),x86752),f476(x86753,x86752,x86751,x86754)))+~P107(f331(f331(f198(f29(x86754,x86751)),x86752),x86753))
% 204.32/204.32 [9016]~P107(f331(x90161,f760(x90161,x90163,x90162,x90164)))+P107(f331(x90161,f331(f331(f168(x90162),x90163),x90164)))+~P107(f331(f331(f240(a927),x90164),f331(f193(f928(x90162)),x90163)))
% 204.32/204.32 [9040]~P24(x90404,x90403,x90401,f246(f935(x90404,a923)))+E(f331(x90401,f536(x90402,x90401,x90403,x90404)),x90402)+~P107(f331(f331(f333(x90403),x90402),f331(f314(x90404,x90403,x90401),f246(f935(x90404,a923)))))
% 204.32/204.32 [9108]E(f181(x91081,x91082,x91083),f331(f331(f179(x91081),x91084),x91083))+P107(f331(f331(f240(a927),f731(x91082,x91083,x91081,x91084)),x91084))+P107(f331(f331(f240(a927),x91084),f331(f193(f928(x91081)),x91083)))
% 204.32/204.32 [9111]E(f181(x91111,x91112,x91113),f331(f331(f179(x91111),x91114),x91113))+P107(f331(f331(f240(a927),f731(x91112,x91113,x91111,x91114)),x91114))+P107(f331(x91112,f331(f331(f168(x91111),x91113),x91114)))
% 204.32/204.32 [9146]P107(f331(x91461,x91462))+~P107(f331(f331(f333(x91464),x91462),f331(f176(x91464),x91463)))+P107(f331(f331(f240(a927),f706(x91462,x91461,x91463,x91464)),f331(f193(f928(x91464)),x91463)))
% 204.32/204.32 [9148]E(f181(x91481,x91482,x91483),f331(f331(f179(x91481),x91484),x91483))+P107(f331(f331(f240(a927),x91484),f331(f193(f928(x91481)),x91483)))+P107(f331(f331(f240(a927),f731(x91482,x91483,x91481,x91484)),f331(f193(f928(x91481)),x91483)))
% 204.32/204.32 [9155]E(f181(x91551,x91552,x91553),f331(f331(f179(x91551),x91554),x91553))+P107(f331(x91552,f331(f331(f168(x91551),x91553),x91554)))+P107(f331(f331(f240(a927),f731(x91552,x91553,x91551,x91554)),f331(f193(f928(x91551)),x91553)))
% 204.32/204.32 [9182]~P127(x91824)+P107(f331(f331(f333(x91821),f651(x91822,x91823,x91821,x91824)),x91823))+P107(f331(f331(f240(x91824),f2(x91824)),f331(f331(f9(x91821,x91824),x91822),x91823)))
% 204.32/204.32 [9183]~P127(x91834)+P107(f331(f331(f333(x91831),f655(x91832,x91833,x91831,x91834)),x91833))+P107(f331(f331(f239(x91834),f2(x91834)),f331(f331(f9(x91831,x91834),x91832),x91833)))
% 204.32/204.32 [9208]~P107(f331(f61(x92081),x92084))+P107(f331(f331(f333(x92081),f558(x92082,x92083,x92084,x92081)),x92084))+P107(f331(f61(f934(x92081,x92083)),f331(f331(f258(x92081,x92083),x92084),x92082)))
% 204.32/204.32 [9241]P107(f331(f331(f333(x92412),f760(x92411,x92413,x92412,x92414)),f331(f176(x92412),x92413)))+P107(f331(x92411,f331(f331(f168(x92412),x92413),x92414)))+~P107(f331(f331(f240(a927),x92414),f331(f193(f928(x92412)),x92413)))
% 204.32/204.32 [9256]E(x92561,x92562)+P107(f331(f331(f198(f29(x92563,x92564)),f476(x92561,x92562,x92564,x92563)),x92561))+~P107(f331(f331(f198(f29(x92563,x92564)),x92562),x92561))
% 204.32/204.32 [9276]~P107(f331(x92761,x92764))+P107(f331(f331(f198(f29(x92761,x92762)),f476(x92763,x92764,x92762,x92761)),x92763))+~P107(f331(f331(f198(f29(x92761,x92762)),x92764),x92763))
% 204.32/204.32 [9372]P107(f331(f331(f239(a927),x93724),f331(f193(f928(x93722)),f181(x93722,x93723,x93721))))+P107(f331(f331(f240(a927),f732(x93721,x93722,x93723,x93724)),x93724))+~P107(f331(f331(f239(a927),x93724),f331(f193(f928(x93722)),x93721)))
% 204.32/204.32 [9528]E(f181(x95281,x95282,x95283),f331(f331(f179(x95281),x95284),x95283))+~P107(f331(x95282,f331(f331(f168(x95281),x95283),f731(x95282,x95283,x95281,x95284))))+P107(f331(f331(f240(a927),x95284),f331(f193(f928(x95281)),x95283)))
% 204.32/204.32 [9535]E(f181(x95351,x95352,x95353),f331(f331(f179(x95351),x95354),x95353))+~P107(f331(x95352,f331(f331(f168(x95351),x95353),f731(x95352,x95353,x95351,x95354))))+P107(f331(x95352,f331(f331(f168(x95351),x95353),x95354)))
% 204.32/204.32 [9539]~P107(f331(f61(x95391),x95393))+~P107(f331(f61(x95392),f331(x95394,f558(x95394,x95392,x95393,x95391))))+P107(f331(f61(f934(x95391,x95392)),f331(f331(f258(x95391,x95392),x95393),x95394)))
% 204.32/204.32 [9547]~P127(x95471)+~P107(f331(f331(f239(x95471),f2(x95471)),f331(x95473,f655(x95473,x95474,x95472,x95471))))+P107(f331(f331(f239(x95471),f2(x95471)),f331(f331(f9(x95472,x95471),x95473),x95474)))
% 204.32/204.32 [9548]~P127(x95481)+~P107(f331(f331(f240(x95481),f2(x95481)),f331(x95483,f651(x95483,x95484,x95482,x95481))))+P107(f331(f331(f240(x95481),f2(x95481)),f331(f331(f9(x95482,x95481),x95483),x95484)))
% 204.32/204.32 [9556]~E(f331(f193(f928(x95564)),x95562),f331(f193(f928(x95564)),x95563))+P107(f331(f331(f333(f934(f928(x95564),f928(x95564))),f331(f331(f256(f928(x95564),f928(x95564)),x95563),x95562)),f162(x95564,x95561)))+P107(f331(f331(f240(a927),f656(x95561,x95562,x95563,x95564)),f331(f193(f928(x95564)),x95563)))
% 204.32/204.32 [9610]~P107(f331(x96103,f331(f331(f168(x96102),x96104),f732(x96104,x96102,x96103,x96101))))+P107(f331(f331(f239(a927),x96101),f331(f193(f928(x96102)),f181(x96102,x96103,x96104))))+~P107(f331(f331(f239(a927),x96101),f331(f193(f928(x96102)),x96104)))
% 204.32/204.32 [9689]E(f331(f331(f179(x96891),f668(x96892,x96893,x96894,x96891)),x96893),f331(f331(f179(x96891),f668(x96892,x96893,x96894,x96891)),x96894))+~P107(f331(f331(f333(f934(f928(x96891),f928(x96891))),f331(f331(f256(f928(x96891),f928(x96891)),x96894),x96893)),f151(x96891,x96892)))+P107(f331(f331(f240(a927),f331(f193(f928(x96891)),x96894)),f331(f193(f928(x96891)),x96893)))
% 204.32/204.32 [9754]~P107(f331(f331(f240(a927),f2(a927)),x97543))+~P107(f331(f331(f240(a927),x97544),x97541))+P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),x97541),f45(a927,x97542,x97543))),x97544)),f331(f331(f81(a927),x97541),x97543)))
% 204.32/204.32 [9946]~P110(x99462)+~P107(f331(f331(f239(x99462),f331(x99463,f434(x99464,x99463,x99461,x99462))),f331(x99464,f434(x99464,x99463,x99461,x99462))))+P107(f331(f331(f239(f935(x99461,x99462)),x99463),x99464))
% 204.32/204.32 [10048]~P68(x100481)+E(f331(f331(f6(a927,x100481),f331(f331(f18(a927,x100481,x100481),f331(f331(f8(x100481,f935(x100481,x100481),a927),f23(x100481)),x100482)),f331(f331(f8(a927,x100481,a927),x100482),f331(f331(f7(a927,a927,a927),f80(a927)),f78(a927))))),f307(a927,x100483,x100484)),f331(f331(f23(x100481),f331(x100482,x100483)),f331(x100482,f331(f331(f80(a927),x100484),f78(a927)))))+~P107(f331(f331(f239(a927),x100483),x100484))
% 204.32/204.32 [10124]~P38(x101243,f331(f331(f293(x101243,x101243,x101243),x101242),f311(x101243,x101242)))+~P107(f331(f331(f333(f934(x101243,x101243)),f331(f331(f256(x101243,x101243),f331(x101241,f331(a116,f846(x101242,x101241,x101243)))),f331(x101241,f846(x101242,x101241,x101243)))),f311(x101243,x101242)))+E(f331(x101241,f331(f331(f80(a927),f849(x101242,x101241,x101243)),x101244)),f331(x101241,f849(x101242,x101241,x101243)))
% 204.32/204.32 [7067]E(f331(f331(f138(x70671),x70672),x70673),x70674)+~E(x70673,f331(f331(f142(x70671),f331(f193(f928(x70671)),x70672)),x70674))+~E(f331(f331(f179(x70671),f331(f193(f928(x70671)),x70672)),x70674),x70672)
% 204.32/204.32 [7120]~P65(x71202)+E(x71201,f2(x71202))+E(f331(f331(f294(x71202),f331(f331(f248(x71202),x71203),x71204)),f331(f331(f248(x71202),x71201),x71204)),f331(f331(f248(x71202),f331(f331(f294(x71202),x71203),x71201)),x71204))
% 204.32/204.32 [7274]~P103(x72741)+~P107(f331(f331(f239(x72741),x72743),x72744))+P107(f331(f331(f239(x72741),f331(f331(f105(x72741),x72742),x72743)),x72744))
% 204.32/204.32 [7275]~P103(x72751)+~P107(f331(f331(f239(x72751),x72752),x72754))+P107(f331(f331(f239(x72751),f331(f331(f105(x72751),x72752),x72753)),x72754))
% 204.32/204.32 [7277]~P109(x72771)+~P107(f331(f331(f239(x72771),x72773),x72774))+P107(f331(f331(f239(x72771),f331(f331(f237(x72771),x72772),x72773)),x72774))
% 204.32/204.32 [7279]~P109(x72791)+~P107(f331(f331(f239(x72791),x72792),x72794))+P107(f331(f331(f239(x72791),f331(f331(f237(x72791),x72792),x72793)),x72794))
% 204.32/204.32 [7280]~P103(x72801)+~P107(f331(f331(f240(x72801),x72803),x72804))+P107(f331(f331(f240(x72801),f331(f331(f105(x72801),x72802),x72803)),x72804))
% 204.32/204.32 [7281]~P103(x72811)+~P107(f331(f331(f240(x72811),x72812),x72814))+P107(f331(f331(f240(x72811),f331(f331(f105(x72811),x72812),x72813)),x72814))
% 204.32/204.32 [7283]~P109(x72831)+~P107(f331(f331(f240(x72831),x72833),x72834))+P107(f331(f331(f240(x72831),f331(f331(f237(x72831),x72832),x72833)),x72834))
% 204.32/204.32 [7285]~P109(x72851)+~P107(f331(f331(f240(x72851),x72852),x72854))+P107(f331(f331(f240(x72851),f331(f331(f237(x72851),x72852),x72853)),x72854))
% 204.32/204.32 [7308]~P107(f331(x73083,x73084))+~P107(f331(x73082,x73084))+P107(f331(f331(f331(f105(f935(x73081,a923)),x73082),x73083),x73084))
% 204.32/204.32 [7432]P23(x74321,x74322,x74323)+~P23(x74321,x74324,x74323)+~P107(f331(f331(f239(f935(f926(x74321),a923)),x74324),x74322))
% 204.32/204.32 [7433]P23(x74331,x74332,x74333)+~P23(x74331,x74332,x74334)+~P107(f331(f331(f239(f935(f926(x74331),a923)),x74333),x74334))
% 204.32/204.32 [7798]~P72(x77981)+E(f331(f331(f80(x77981),f331(x77982,x77983)),f331(f331(f6(a927,x77981),x77982),f331(f306(a927,f331(a116,x77983)),x77984))),f331(f331(f6(a927,x77981),x77982),f331(f306(a927,x77983),x77984)))+~P107(f331(f331(f240(a927),x77983),x77984))
% 204.32/204.32 [7816]E(x78161,x78162)+P107(f331(f331(f176(x78163),x78164),x78162))+~P107(f331(f331(f176(x78163),f331(f331(f155(x78163),x78161),x78164)),x78162))
% 204.32/204.32 [7828]~P109(x78281)+P107(f331(f331(f239(x78281),x78282),x78283))+~P107(f331(f331(f239(x78281),f331(f331(f238(x78281),x78284),x78282)),x78283))
% 204.32/204.32 [7830]~P109(x78301)+P107(f331(f331(f239(x78301),x78302),x78303))+~P107(f331(f331(f239(x78301),f331(f331(f238(x78301),x78302),x78304)),x78303))
% 204.32/204.32 [7832]~P102(x78321)+P107(f331(f331(f239(x78321),x78322),x78323))+~P107(f331(f331(f239(x78321),f331(f331(f114(x78321),x78324),x78322)),x78323))
% 204.32/204.32 [7834]~P102(x78341)+P107(f331(f331(f239(x78341),x78342),x78343))+~P107(f331(f331(f239(x78341),f331(f331(f114(x78341),x78342),x78344)),x78343))
% 204.32/204.32 [7835]~P109(x78351)+P107(f331(f331(f240(x78351),x78352),x78353))+~P107(f331(f331(f240(x78351),f331(f331(f238(x78351),x78354),x78352)),x78353))
% 204.32/204.32 [7836]~P109(x78361)+P107(f331(f331(f240(x78361),x78362),x78363))+~P107(f331(f331(f240(x78361),f331(f331(f238(x78361),x78362),x78364)),x78363))
% 204.32/204.32 [7912]~P107(f331(f331(f333(x79121),x79122),x79124))+P107(f331(f331(f333(x79121),x79122),x79123))+P107(f331(f331(f333(x79121),x79122),f331(f331(f23(f935(x79121,a923)),x79124),x79123)))
% 204.32/204.32 [7997]P107(f331(x79971,x79972))+P107(f331(x79973,x79972))+~P107(f331(f331(f331(f114(f935(x79974,a923)),x79973),x79971),x79972))
% 204.32/204.32 [8008]~P107(f331(f331(f333(x80081),x80082),x80084))+~P107(f331(f331(f333(x80081),x80082),x80083))+P107(f331(f331(f333(x80081),x80082),f331(f331(f105(f935(x80081,a923)),x80083),x80084)))
% 204.32/204.32 [8060]~P102(x80601)+~P107(f331(f61(x80601),x80604))+E(f331(f331(f64(x80601,x80601,f114(x80601)),x80602),f331(f331(f313(x80601),x80603),x80604)),f331(f331(f114(x80601),x80603),f331(f331(f64(x80601,x80601,f114(x80601)),x80602),x80604)))
% 204.32/204.32 [8061]~P103(x80611)+~P107(f331(f61(x80611),x80614))+E(f331(f331(f64(x80611,x80611,f105(x80611)),x80612),f331(f331(f313(x80611),x80613),x80614)),f331(f331(f105(x80611),x80613),f331(f331(f64(x80611,x80611,f105(x80611)),x80612),x80614)))
% 204.32/204.32 [8062]~P109(x80621)+~P107(f331(f61(x80621),x80624))+E(f331(f331(f64(x80621,x80621,f237(x80621)),x80622),f331(f331(f313(x80621),x80623),x80624)),f331(f331(f237(x80621),x80623),f331(f331(f64(x80621,x80621,f237(x80621)),x80622),x80624)))
% 204.32/204.32 [8063]~P109(x80631)+~P107(f331(f61(x80631),x80634))+E(f331(f331(f64(x80631,x80631,f238(x80631)),x80632),f331(f331(f313(x80631),x80633),x80634)),f331(f331(f238(x80631),x80633),f331(f331(f64(x80631,x80631,f238(x80631)),x80632),x80634)))
% 204.32/204.32 [8064]~P112(x80641)+~P96(x80641)+E(f331(f331(f23(x80641),f331(f331(f81(x80641),f331(f107(x80641),x80642)),x80643)),f331(f331(f81(x80641),f331(f107(x80641),x80642)),x80644)),f331(f331(f81(x80641),f331(f107(x80641),x80642)),f331(f331(f23(x80641),x80643),x80644)))
% 204.32/204.32 [8065]~P141(x80651)+~P96(x80651)+E(f331(f331(f80(x80651),f331(f331(f81(x80651),f331(f107(x80651),x80652)),x80653)),f331(f331(f81(x80651),f331(f107(x80651),x80652)),x80654)),f331(f331(f81(x80651),f331(f107(x80651),x80652)),f331(f331(f80(x80651),x80653),x80654)))
% 204.32/204.32 [8178]E(x81781,x81782)+P107(f331(f331(f333(x81783),x81781),f331(f176(x81783),x81784)))+~P107(f331(f331(f333(x81783),x81781),f331(f176(x81783),f331(f331(f155(x81783),x81782),x81784))))
% 204.32/204.32 [8354]P55(x83541,x83542,x83543)+~P55(x83541,x83542,x83544)+~P107(f331(f331(f239(f935(f934(x83541,x83542),a923)),x83543),x83544))
% 204.32/204.32 [8399]P107(f331(f331(f333(x83991),x83992),x83993))+P107(f331(f331(f333(x83991),x83992),x83994))+~P107(f331(f331(f333(x83991),x83992),f331(f331(f114(f935(x83991,a923)),x83994),x83993)))
% 204.32/204.32 [8410]~P53(x84101,x84104,x84103)+~P107(f331(f331(f333(x84101),x84102),x84104))+P107(f331(f331(f333(f934(x84101,x84101)),f331(f331(f256(x84101,x84101),x84102),x84102)),x84103))
% 204.32/204.32 [8422]~P107(f331(f61(x84222),x84224))+~P107(f331(f61(x84221),x84223))+P107(f331(f61(f934(x84221,x84222)),f331(f331(f258(x84221,x84222),x84223),f331(f16(f935(x84222,a923),x84221),x84224))))
% 204.32/204.32 [8423]~P107(f331(f331(f333(x84231),x84232),x84234))+~P107(f331(f331(f239(f935(x84231,a923)),x84233),x84234))+P107(f331(f331(f239(f935(x84231,a923)),f331(f331(f313(x84231),x84232),x84233)),x84234))
% 204.32/204.32 [8430]~P71(x84302)+~P147(x84302)+E(f331(f331(f9(x84301,x84302),f331(f331(f8(a927,x84302,x84301),f104(x84302)),x84303)),x84304),f331(f104(x84302),f331(f331(f9(x84301,a927),x84303),x84304)))
% 204.32/204.32 [8431]~P71(x84312)+~P144(x84312)+E(f331(f331(f9(x84311,x84312),f331(f331(f8(a1,x84312,x84311),f106(x84312)),x84313)),x84314),f331(f106(x84312),f331(f331(f9(x84311,a1),x84313),x84314)))
% 204.32/204.32 [8455]E(f331(f331(f23(f935(x84551,a923)),x84552),f331(f331(f23(f935(x84551,a923)),x84553),x84554)),x84554)+~P107(f331(f331(f239(f935(x84551,a923)),x84552),x84553))+~P107(f331(f331(f239(f935(x84551,a923)),x84554),x84552))
% 204.32/204.32 [8551]~P107(f331(f61(x85511),x85514))+E(f331(f331(f23(a927),f331(f331(f6(x85511,a927),x85512),x85513)),f331(f331(f6(x85511,a927),x85512),x85514)),f331(f331(f6(x85511,a927),x85512),f331(f331(f23(f935(x85511,a923)),x85513),x85514)))+~P107(f331(f331(f239(f935(x85511,a923)),x85514),x85513))
% 204.32/204.32 [8708]~P7(x87081,x87084,x87083)+~P107(f331(f331(f333(x87081),x87082),x87084))+P107(f331(f331(f333(x87081),x87082),f331(f289(x87081,x87081,x87083),f331(f331(f313(x87081),x87082),f192(f935(x87081,a923))))))
% 204.32/204.32 [8775]~P107(f331(f331(f239(f935(x87751,a923)),x87752),x87753))+~P107(f331(f331(f239(f935(x87751,a923)),x87752),x87754))+P107(f331(f331(f239(f935(x87751,a923)),x87752),f331(f331(f105(f935(x87751,a923)),x87753),x87754)))
% 204.32/204.32 [8877]E(x88771,f192(f935(x88772,a923)))+P107(f331(f61(x88773),x88774))+~P107(f331(f61(f934(x88773,x88772)),f331(f331(f258(x88773,x88772),x88774),f331(f16(f935(x88772,a923),x88773),x88771))))
% 204.32/204.32 [8878]E(x88781,f192(f935(x88782,a923)))+P107(f331(f61(x88783),x88784))+~P107(f331(f61(f934(x88782,x88783)),f331(f331(f258(x88782,x88783),x88781),f331(f16(f935(x88783,a923),x88782),x88784))))
% 204.32/204.32 [8951]P107(f331(f331(f333(x89511),x89512),f320(x89511,x89513)))+~P107(f331(f331(f333(x89511),x89514),f320(x89511,x89513)))+~P107(f331(f331(f333(f934(x89511,x89511)),f331(f331(f256(x89511,x89511),x89512),x89514)),x89513))
% 204.32/204.32 [9008]~P38(x90081,x90084)+P107(f331(f331(f333(f934(x90081,x90081)),f331(f331(f256(x90081,x90081),x90083),x90082)),f311(x90081,x90084)))+P38(x90081,f331(f331(f313(f934(x90081,x90081)),f331(f331(f256(x90081,x90081),x90082),x90083)),x90084))
% 204.32/204.32 [9009]~P58(x90091,x90094)+P107(f331(f331(f333(f934(x90091,x90091)),f331(f331(f256(x90091,x90091),x90093),x90092)),f311(x90091,x90094)))+P58(x90091,f331(f331(f313(f934(x90091,x90091)),f331(f331(f256(x90091,x90091),x90092),x90093)),x90094))
% 204.32/204.32 [9091]~E(x90912,x90913)+~P107(f331(f331(f333(x90911),x90912),f331(f176(x90911),x90914)))+P107(f331(f331(f333(f934(x90911,x90911)),f331(f331(f256(x90911,x90911),x90912),x90913)),f331(f176(f934(x90911,x90911)),f331(f331(f185(x90911,x90911),x90914),x90914))))
% 204.32/204.32 [9181]~E(x91813,x91814)+P107(f331(f331(f261(x91811,x91811,a923),a328),x91812))+~P107(f331(f331(f333(f934(x91811,x91811)),x91812),f331(f176(f934(x91811,x91811)),f331(f331(f185(x91811,x91811),x91813),x91814))))
% 204.32/204.32 [9226]P107(f331(f331(f333(f934(f928(x92261),f928(x92261))),f331(f331(f256(f928(x92261),f928(x92261)),x92262),x92263)),f151(x92261,x92264)))+~E(f331(f331(f179(x92261),f331(f193(f928(x92261)),x92262)),x92263),x92262)+~P107(f331(f331(f240(a927),f331(f193(f928(x92261)),x92262)),f331(f193(f928(x92261)),x92263)))
% 204.32/204.32 [9229]~P52(x92291,x92294)+~P107(f331(f331(f333(f934(x92291,x92291)),f331(f331(f256(x92291,x92291),x92293),x92292)),x92294))+P107(f331(f331(f333(f934(x92291,x92291)),f331(f331(f256(x92291,x92291),x92292),x92293)),x92294))
% 204.32/204.32 [9322]~P107(f331(f61(x93221),x93224))+P107(f331(f331(f333(x93221),f772(x93222,x93223,x93224,x93221)),x93224))+P107(f331(f61(x93223),f331(f331(f39(x93221,f935(x93223,a923)),x93224),x93222)))
% 204.32/204.32 [9323]~P107(f331(f61(x93231),x93234))+P107(f331(f331(f333(x93231),f886(x93232,x93233,x93234,x93231)),x93234))+P107(f331(f61(x93233),f331(f331(f39(x93231,f935(x93233,a923)),x93234),x93232)))
% 204.32/204.32 [9410]P107(f331(f331(f333(f934(x94101,x94101)),x94102),f331(f331(f293(x94101,x94101,x94101),x94103),f311(x94101,x94103))))+~P107(f331(f331(f240(a927),f2(a927)),x94104))+~P107(f331(f331(f333(f934(x94101,x94101)),x94102),f331(f331(f187(f934(x94101,x94101),a923),x94104),x94103)))
% 204.32/204.32 [9418]~P38(x94181,x94182)+~P107(f331(f331(f333(f934(x94181,x94181)),f331(f331(f256(x94181,x94181),x94184),x94183)),x94182))+~P107(f331(f331(f333(f934(x94181,x94181)),f331(f331(f256(x94181,x94181),x94183),x94184)),x94182))
% 204.32/204.32 [9546]~P107(f331(f61(x95461),x95464))+E(f331(f331(f6(x95461,a927),f331(f331(f8(f935(x95462,a923),a927,x95461),f35(x95462)),x95463)),x95464),f331(f35(f934(x95461,x95462)),f331(f331(f258(x95461,x95462),x95464),x95463)))+P107(f331(f331(f333(x95461),f559(x95463,x95462,x95464,x95461)),x95464))
% 204.32/204.32 [9550]~P107(f331(f141(x95501),x95502))+P107(f331(f141(x95501),f331(f331(f163(x95501,x95502),x95503),x95504)))+P107(f331(f331(f333(x95501),x95504),f331(f331(f23(f935(x95501,a923)),f331(f176(x95501),x95502)),f331(f331(f313(x95501),f331(f331(f168(x95501),x95502),x95503)),f192(f935(x95501,a923))))))
% 204.32/204.32 [9567]~P107(f331(f61(x95672),x95673))+~P107(f331(f61(x95671),f331(x95674,f772(x95674,x95671,x95673,x95672))))+P107(f331(f61(x95671),f331(f331(f39(x95672,f935(x95671,a923)),x95673),x95674)))
% 204.32/204.32 [9568]~P107(f331(f61(x95682),x95683))+~P107(f331(f61(x95681),f331(x95684,f886(x95684,x95681,x95683,x95682))))+P107(f331(f61(x95681),f331(f331(f39(x95682,f935(x95681,a923)),x95683),x95684)))
% 204.32/204.32 [9648]~P107(f331(f331(f333(f934(x96481,x96481)),x96482),f331(f331(f293(x96481,x96481,x96481),x96484),f311(x96481,x96484))))+P107(f331(f331(f333(f934(x96481,x96481)),x96482),f331(f331(f293(x96481,x96481,x96481),x96483),f311(x96481,x96483))))+~P107(f331(f331(f239(f935(f934(x96481,x96481),a923)),x96484),x96483))
% 204.32/204.32 [9656]E(f331(f331(f179(x96561),f668(x96564,x96563,x96562,x96561)),x96563),f331(f331(f179(x96561),f668(x96564,x96563,x96562,x96561)),x96562))+~P107(f331(f331(f333(f934(f928(x96561),f928(x96561))),f331(f331(f256(f928(x96561),f928(x96561)),x96562),x96563)),f151(x96561,x96564)))+E(f331(f331(f179(x96561),f331(f193(f928(x96561)),x96562)),x96563),x96562)
% 204.32/204.32 [9672]~P107(f331(f61(x96721),x96724))+E(f331(f331(f6(x96721,a927),f331(f331(f8(f935(x96722,a923),a927,x96721),f35(x96722)),x96723)),x96724),f331(f35(f934(x96721,x96722)),f331(f331(f258(x96721,x96722),x96724),x96723)))+~P107(f331(f61(x96722),f331(x96723,f559(x96723,x96722,x96724,x96721))))
% 204.32/204.32 [9676]~E(f331(f193(f928(x96761)),x96763),f331(f193(f928(x96761)),x96762))+P107(f331(f331(f333(f934(f928(x96761),f928(x96761))),f331(f331(f256(f928(x96761),f928(x96761)),x96762),x96763)),f162(x96761,x96764)))+P107(f331(f331(f333(f934(x96761,x96761)),f673(x96764,x96763,x96762,x96761)),f331(f176(f934(x96761,x96761)),f331(f331(f185(x96761,x96761),x96762),x96763))))
% 204.32/204.32 [9766]~P107(f331(f331(f333(f934(f928(x97661),f928(x97661))),f331(f331(f256(f928(x97661),f928(x97661)),x97662),x97663)),f151(x97661,x97664)))+E(f331(f331(f179(x97661),f331(f193(f928(x97661)),x97662)),x97663),x97662)+P107(f331(f331(f240(a927),f668(x97664,x97663,x97662,x97661)),f331(f331(f237(a927),f331(f193(f928(x97661)),x97662)),f331(f193(f928(x97661)),x97663))))
% 204.32/204.32 [9790]~P107(f331(f331(f333(f934(f928(x97901),f928(x97901))),f331(f331(f256(f928(x97901),f928(x97901)),x97902),x97903)),f151(x97901,x97904)))+P107(f331(f331(f240(a927),f331(f193(f928(x97901)),x97902)),f331(f193(f928(x97901)),x97903)))+P107(f331(f331(f240(a927),f668(x97904,x97903,x97902,x97901)),f331(f331(f237(a927),f331(f193(f928(x97901)),x97902)),f331(f193(f928(x97901)),x97903))))
% 204.32/204.32 [10193]~P107(f331(f331(f333(f934(f928(x101931),f928(x101931))),f331(f331(f256(f928(x101931),f928(x101931)),x101932),x101933)),f151(x101931,x101934)))+E(f331(f331(f179(x101931),f331(f193(f928(x101931)),x101932)),x101933),x101932)+P107(f331(f331(f333(f934(x101931,x101931)),f331(f331(f256(x101931,x101931),f331(f331(f168(x101931),x101932),f668(x101934,x101933,x101932,x101931))),f331(f331(f168(x101931),x101933),f668(x101934,x101933,x101932,x101931)))),x101934))
% 204.32/204.32 [10194]~P107(f331(f331(f333(f934(f928(x101941),f928(x101941))),f331(f331(f256(f928(x101941),f928(x101941)),x101942),x101943)),f151(x101941,x101944)))+P107(f331(f331(f240(a927),f331(f193(f928(x101941)),x101942)),f331(f193(f928(x101941)),x101943)))+P107(f331(f331(f333(f934(x101941,x101941)),f331(f331(f256(x101941,x101941),f331(f331(f168(x101941),x101942),f668(x101944,x101943,x101942,x101941))),f331(f331(f168(x101941),x101943),f668(x101944,x101943,x101942,x101941)))),x101944))
% 204.32/204.32 [10250]~E(f331(f193(f928(x102501)),x102502),f331(f193(f928(x102501)),x102503))+P107(f331(f331(f333(f934(f928(x102501),f928(x102501))),f331(f331(f256(f928(x102501),f928(x102501)),x102502),x102503)),f162(x102501,x102504)))+~P107(f331(f331(f333(f934(x102501,x102501)),f331(f331(f256(x102501,x102501),f331(f331(f168(x102501),x102502),f656(x102504,x102503,x102502,x102501))),f331(f331(f168(x102501),x102503),f656(x102504,x102503,x102502,x102501)))),x102504))
% 204.32/204.32 [10400]~P72(x104001)+~P107(f331(f61(x104002),x104004))+E(f331(f169(x104001),f331(f331(f158(x104002,x104001),x104003),f90(f928(x104002),f331(f331(f18(f928(x104002),a923,a923),f331(f331(f8(a923,f935(a923,a923),f928(x104002)),a329),f331(f331(f7(f928(x104002),f935(x104002,a923),a923),f331(f331(f8(f935(x104002,a923),f935(f935(x104002,a923),a923),f928(x104002)),a328),f176(x104002))),x104004))),f141(x104002))))),f236(x104002,x104001,x104003,x104004))
% 204.32/204.32 [7648]~P64(x76482)+E(x76481,f2(x76482))+E(f331(f331(f294(x76482),f331(f331(f80(x76482),x76483),f331(f331(f81(x76482),x76484),x76481))),x76481),f331(f331(f80(x76482),x76484),f331(f331(f294(x76482),x76483),x76481)))
% 204.32/204.32 [7649]~P61(x76492)+E(x76491,f2(x76492))+E(f331(f331(f36(x76492),f331(f331(f80(x76492),x76493),f331(f331(f81(x76492),x76494),x76491))),x76491),f331(f331(f80(x76492),x76494),f331(f331(f36(x76492),x76493),x76491)))
% 204.32/204.32 [7650]~P61(x76502)+E(x76501,f2(x76502))+E(f331(f331(f36(x76502),f331(f331(f80(x76502),x76503),f331(f331(f81(x76502),x76501),x76504))),x76501),f331(f331(f80(x76502),x76504),f331(f331(f36(x76502),x76503),x76501)))
% 204.32/204.32 [7875]~P65(x78752)+E(x78751,f2(x78752))+E(f331(f331(f294(x78752),f331(f331(f23(x78752),x78753),f331(f331(f81(x78752),x78751),x78754))),x78751),f331(f331(f23(x78752),f331(f331(f294(x78752),x78753),x78751)),x78754))
% 204.32/204.32 [7876]~P64(x78762)+E(x78761,f2(x78762))+E(f331(f331(f294(x78762),f331(f331(f80(x78762),x78763),f331(f331(f81(x78762),x78764),x78761))),x78761),f331(f331(f80(x78762),f331(f331(f294(x78762),x78763),x78761)),x78764))
% 204.32/204.32 [7877]~P65(x78772)+E(x78771,f2(x78772))+E(f331(f331(f294(x78772),f331(f331(f80(x78772),x78773),f331(f331(f81(x78772),x78771),x78774))),x78771),f331(f331(f80(x78772),f331(f331(f294(x78772),x78773),x78771)),x78774))
% 204.32/204.32 [8583]~P107(f331(f164(x85831,x85833),x85834))+~P107(f331(f164(x85831,x85832),x85834))+P107(f331(f164(x85831,f331(f331(f105(f935(x85831,a923)),x85832),x85833)),x85834))
% 204.32/204.32 [8966]~E(f331(f331(f293(x89661,x89661,x89661),x89662),x89664),f192(f935(f934(x89661,x89661),a923)))+~E(f331(f331(f293(x89661,x89661,x89661),x89662),x89663),f192(f935(f934(x89661,x89661),a923)))+E(f331(f331(f293(x89661,x89661,x89661),x89662),f331(f331(f114(f935(f934(x89661,x89661),a923)),x89663),x89664)),f192(f935(f934(x89661,x89661),a923)))
% 204.32/204.32 [9092]~P107(f331(f331(f239(f935(x90921,a923)),x90923),x90924))+~P107(f331(f331(f239(f935(x90921,a923)),x90922),x90924))+P107(f331(f331(f239(f935(x90921,a923)),f331(f331(f114(f935(x90921,a923)),x90922),x90923)),x90924))
% 204.32/204.32 [9472]~P107(f331(f61(x94721),x94724))+~P107(f331(f61(x94721),x94723))+E(f331(f331(f23(a927),f331(f331(f80(a927),f331(f331(f6(x94721,a927),x94722),x94723)),f331(f331(f6(x94721,a927),x94722),x94724))),f331(f331(f6(x94721,a927),x94722),f331(f331(f105(f935(x94721,a923)),x94723),x94724))),f331(f331(f6(x94721,a927),x94722),f331(f331(f114(f935(x94721,a923)),x94723),x94724)))
% 204.32/204.32 [9564]~P107(f331(f331(f333(x95641),x95643),x95642))+~P107(f331(f331(f239(f935(x95641,a923)),x95642),f331(f331(f313(x95641),x95643),x95644)))+P107(f331(f331(f239(f935(x95641,a923)),f331(f331(f23(f935(x95641,a923)),x95642),f331(f331(f313(x95641),x95643),f192(f935(x95641,a923))))),x95644))
% 204.32/204.32 [9740]~P107(f331(f331(f333(x97401),x97403),x97402))+P107(f331(f331(f239(f935(x97401,a923)),x97402),f331(f331(f313(x97401),x97403),x97404)))+~P107(f331(f331(f239(f935(x97401,a923)),f331(f331(f23(f935(x97401,a923)),x97402),f331(f331(f313(x97401),x97403),f192(f935(x97401,a923))))),x97404))
% 204.32/204.32 [9830]~P107(f331(f331(f239(a927),x98301),x98303))+~P107(f331(f331(f240(a927),x98302),x98304))+P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),f331(f331(f256(a927,a927),x98301),x98302)),f331(f331(f256(a927,a927),x98303),x98304))),a33))
% 204.32/204.32 [9831]~P107(f331(f331(f239(a927),x98312),x98314))+~P107(f331(f331(f239(a927),x98311),x98313))+P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),f331(f331(f256(a927,a927),x98311),x98312)),f331(f331(f256(a927,a927),x98313),x98314))),a71))
% 204.32/204.32 [10122]~P107(f331(f331(f333(f928(x101221)),x101224),f165(x101221,x101223)))+~P107(f331(f331(f333(f928(x101221)),x101224),f165(x101221,x101222)))+P107(f331(f164(x101221,f331(f331(f105(f935(x101221,a923)),f331(f331(f7(x101221,f935(x101221,a923),a923),f333(x101221)),x101222)),f331(f331(f7(x101221,f935(x101221,a923),a923),f333(x101221)),x101223))),x101224))
% 204.32/204.32 [10216]~P24(x102161,f935(f935(x102161,a923),a923),f331(f331(f7(x102161,f935(f934(x102161,x102161),a923),f935(f935(x102161,a923),a923)),f331(f331(f8(f935(x102161,a923),f935(f935(f934(x102161,x102161),a923),f935(f935(x102161,a923),a923)),x102161),f60(x102161)),f331(f331(f7(x102161,f935(x102161,a923),f935(x102161,a923)),f313(x102161)),f192(f935(x102161,a923))))),x102163),x102162)+~P107(f331(f331(f333(x102161),x102164),x102162))+E(f331(f331(f23(f935(f935(x102161,a923),a923)),f331(f331(f60(x102161),x102162),x102163)),f331(f331(f60(x102161),f331(f331(f313(x102161),x102164),f192(f935(x102161,a923)))),x102163)),f331(f331(f60(x102161),f331(f331(f23(f935(x102161,a923)),x102162),f331(f331(f313(x102161),x102164),f192(f935(x102161,a923))))),x102163))
% 204.32/204.32 [10350]~P53(x103501,x103502,x103504)+~P107(f331(f331(f333(f934(x103501,x103501)),x103503),x103504))+P107(f331(f331(f261(x103501,x103501,a923),f331(f331(f7(x103501,f935(x103501,a923),f935(x103501,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x103501,a923),f935(x103501,a923)),x103501),f8(a923,a923,x103501)),f331(f331(f8(a923,f935(a923,a923),x103501),a329),f331(f331(f7(x103501,f935(x103501,a923),a923),f333(x103501)),x103502)))),f331(f331(f7(x103501,f935(x103501,a923),a923),f333(x103501)),x103502))),x103503))
% 204.32/204.32 [10365]P107(f331(f61(x103651),x103652))+~P107(f331(f61(x103653),f331(f314(x103651,x103653,x103654),x103652)))+~P107(f331(f61(x103651),f331(f266(x103651),f331(f331(f18(x103651,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103651),a329),f331(f331(f7(x103651,f935(x103651,a923),a923),f333(x103651)),x103652))),f331(f331(f7(x103651,x103653,a923),f331(f331(f8(x103653,f935(x103653,a923),x103651),a328),x103654)),f331(x103654,f469(x103654,x103653,x103652,x103651)))))))
% 204.32/204.32 [8338]~P65(x83382)+E(x83381,f2(x83382))+E(f331(f331(f294(x83382),f331(f331(f23(x83382),f331(f331(f81(x83382),x83381),x83383)),x83384)),x83381),f331(f331(f23(x83382),x83383),f331(f331(f294(x83382),x83384),x83381)))
% 204.32/204.32 [8339]~P65(x83392)+E(x83391,f2(x83392))+E(f331(f331(f294(x83392),f331(f331(f80(x83392),f331(f331(f81(x83392),x83391),x83393)),x83394)),x83391),f331(f331(f80(x83392),x83393),f331(f331(f294(x83392),x83394),x83391)))
% 204.32/204.32 [9255]~E(f331(f331(f293(x92551,x92551,x92551),x92553),x92554),f192(f935(f934(x92551,x92551),a923)))+~E(f331(f331(f293(x92551,x92551,x92551),x92552),x92554),f192(f935(f934(x92551,x92551),a923)))+E(f331(f331(f293(x92551,x92551,x92551),f331(f331(f114(f935(f934(x92551,x92551),a923)),x92552),x92553)),x92554),f192(f935(f934(x92551,x92551),a923)))
% 204.32/204.32 [10038]~P107(f331(f164(x100381,x100383),x100384))+~P107(f331(f164(x100381,x100382),x100384))+P107(f331(f164(x100381,f331(f331(f18(x100381,a923,a923),f331(f331(f8(a923,f935(a923,a923),x100381),a329),x100382)),x100383)),x100384))
% 204.32/204.32 [10285]P107(f331(x102851,f465(x102852,x102853,x102851,x102854)))+~P107(f331(f61(x102854),f331(f266(x102854),x102851)))+P107(f331(f61(x102853),f331(f266(x102853),f331(f331(f8(f935(x102854,a923),a923,x102853),f87(x102854)),f331(f331(f8(f935(x102854,a923),f935(x102854,a923),x102853),f331(f18(x102854,a923,a923),f331(f331(f8(a923,f935(a923,a923),x102854),a329),x102851))),x102852)))))
% 204.32/204.32 [10303]~P107(f331(f61(x103032),f331(f266(x103032),x103033)))+~P107(f331(f61(x103031),f331(f266(x103031),f331(f331(f7(x103031,x103032,a923),x103034),f465(x103034,x103031,x103033,x103032)))))+P107(f331(f61(x103031),f331(f266(x103031),f331(f331(f8(f935(x103032,a923),a923,x103031),f87(x103032)),f331(f331(f8(f935(x103032,a923),f935(x103032,a923),x103031),f331(f18(x103032,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103032),a329),x103033))),x103034)))))
% 204.32/204.32 [10378]~P107(f331(f61(x103781),x103784))+P107(f331(f331(f333(x103781),f802(x103782,x103783,x103784,x103781)),x103784))+P107(f331(f61(x103783),f331(f266(x103783),f331(f331(f8(f935(x103781,a923),a923,x103783),f87(x103781)),f331(f331(f8(f935(x103781,a923),f935(x103781,a923),x103783),f331(f18(x103781,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103781),a329),f331(f331(f7(x103781,f935(x103781,a923),a923),f333(x103781)),x103784)))),x103782)))))
% 204.32/204.32 [10385]~P107(f331(f61(x103852),x103853))+~P107(f331(f61(x103851),f331(f266(x103851),f331(f331(f7(x103851,x103852,a923),x103854),f802(x103854,x103851,x103853,x103852)))))+P107(f331(f61(x103851),f331(f266(x103851),f331(f331(f8(f935(x103852,a923),a923,x103851),f87(x103852)),f331(f331(f8(f935(x103852,a923),f935(x103852,a923),x103851),f331(f18(x103852,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103852),a329),f331(f331(f7(x103852,f935(x103852,a923),a923),f333(x103852)),x103853)))),x103854)))))
% 204.32/204.32 [5273]~E(x52732,x52734)+E(f173(x52731,x52732,x52733),f173(x52731,x52734,x52735))+~E(x52732,f2(a927))
% 204.32/204.32 [5528]E(x55281,x55282)+~E(f173(x55284,x55283,x55281),f173(x55284,x55285,x55282))+E(x55283,f2(a927))
% 204.32/204.32 [6786]E(x67861,x67862)+~E(f331(x67863,x67861),f331(x67863,x67862))+~P24(x67864,x67865,x67863,f246(f935(x67864,a923)))
% 204.32/204.32 [7680]E(x76801,x76802)+~P24(x76803,x76804,x76805,f246(f935(x76803,a923)))+~E(f331(f314(x76803,x76804,x76805),x76801),f331(f314(x76803,x76804,x76805),x76802))
% 204.32/204.32 [7930]P24(x79302,x79303,f527(x79304,x79303,x79302,x79301),x79301)+~E(f331(f314(x79303,x79302,x79305),x79304),x79301)+E(x79301,f192(f935(x79302,a923)))
% 204.32/204.32 [8466]~P107(f331(f331(x84663,x84662),x84665))+~P107(f331(f331(x84663,x84664),x84662))+P107(f331(f331(f333(x84661),x84662),f300(x84661,x84663,x84664,x84665)))
% 204.32/204.32 [8467]~P107(f331(f331(x84673,x84672),x84675))+~P107(f331(f331(x84673,x84674),x84672))+P107(f331(f331(f333(x84671),x84672),f303(x84671,x84673,x84674,x84675)))
% 204.32/204.32 [8783]~P24(x87831,x87832,x87833,x87834)+P25(x87831,x87832,x87833,x87834,x87835)+~E(f331(f314(x87831,x87832,x87833),x87834),x87835)
% 204.32/204.32 [8916]~P25(x89161,x89163,x89164,x89162,x89165)+~P107(f331(f61(x89163),x89165))+P107(f331(f61(x89161),x89162))
% 204.32/204.32 [8917]~P25(x89173,x89171,x89174,x89175,x89172)+~P107(f331(f61(x89173),x89175))+P107(f331(f61(x89171),x89172))
% 204.32/204.32 [9049]~P24(x90491,x90493,x90495,f246(f935(x90491,a923)))+~P24(x90493,x90492,x90494,f246(f935(x90493,a923)))+P24(x90491,x90492,f331(f73(x90493,x90492,x90491,x90494),x90495),f246(f935(x90491,a923)))
% 204.32/204.32 [9625]P107(f331(f331(f333(f934(x96251,x96251)),f331(f331(f256(x96251,x96251),x96252),x96253)),f311(x96251,x96254)))+~P107(f331(f331(f333(f934(x96251,x96251)),f331(f331(f256(x96251,x96251),x96252),x96255)),f311(x96251,x96254)))+~P107(f331(f331(f333(f934(x96251,x96251)),f331(f331(f256(x96251,x96251),x96255),x96253)),f311(x96251,x96254)))
% 204.32/204.32 [9663]~P109(x96632)+~P107(f331(f141(x96631),x96635))+P107(f331(f141(x96631),f153(x96631,x96632,x96633,x96634,x96635)))
% 204.32/204.32 [5602]~E(x56022,f117(x56021))+E(f331(f331(f138(x56021),x56022),x56023),f331(f331(f155(x56021),x56024),x56025))+~E(x56023,f331(f331(f155(x56021),x56024),x56025))
% 204.32/204.32 [5603]~E(x56032,f117(x56031))+E(f331(f331(f138(x56031),x56032),x56033),f331(f331(f155(x56031),x56034),x56035))+~E(f331(f331(f155(x56031),x56034),x56035),x56033)
% 204.32/204.32 [6743]~E(f331(f193(f928(x67431)),x67435),f331(f193(f928(x67432)),x67434))+E(f331(f331(f158(f934(x67431,x67432),x67432),f260(x67431,x67432)),x67433),x67434)+~E(f331(f331(f185(x67431,x67432),x67435),x67434),x67433)
% 204.32/204.32 [6744]~E(f331(f193(f928(x67441)),x67444),f331(f193(f928(x67442)),x67445))+E(f331(f331(f158(f934(x67441,x67442),x67441),f255(x67441,x67442)),x67443),x67444)+~E(f331(f331(f185(x67441,x67442),x67444),x67445),x67443)
% 204.32/204.32 [7217]~P109(x72171)+~P12(x72171,f331(f331(f158(x72172,x72171),x72173),x72175))+P12(x72171,f331(f331(f158(x72172,x72171),x72173),f331(f140(x72172,x72174),x72175)))
% 204.32/204.32 [7262]~P107(f331(x72623,x72625))+~P107(f331(f331(x72622,x72624),x72625))+P107(f331(f331(f96(x72621,x72622,x72623),x72624),x72625))
% 204.32/204.32 [7361]~P109(x73611)+P12(x73611,f331(f331(f158(x73612,x73611),x73613),f174(x73612,x73614,x73615)))+~P12(x73611,f331(f331(f158(x73612,x73611),x73613),x73615))
% 204.32/204.32 [7384]~P55(x73843,x73842,x73845)+~P55(x73841,x73843,x73844)+P55(x73841,x73842,f331(f331(f293(x73841,x73843,x73842),x73844),x73845))
% 204.32/204.32 [7479]E(x74791,x74792)+~P24(x74793,x74794,x74795,f246(f935(x74793,a923)))+~E(f331(f331(f158(x74793,x74794),x74795),x74791),f331(f331(f158(x74793,x74794),x74795),x74792))
% 204.32/204.32 [7634]~P107(f331(f331(f239(a927),x76341),f331(x76343,x76345)))+P107(f331(f331(f239(a927),x76341),f159(x76342,x76343,x76344)))+~P107(f331(f331(f333(x76342),x76345),f331(f176(x76342),x76344)))
% 204.32/204.32 [7635]~P107(f331(f331(f240(a927),x76351),f331(x76353,x76355)))+P107(f331(f331(f240(a927),x76351),f159(x76352,x76353,x76354)))+~P107(f331(f331(f333(x76352),x76355),f331(f176(x76352),x76354)))
% 204.32/204.32 [8029]P107(f331(x80291,x80292))+~P107(f331(x80291,x80293))+~P107(f331(f331(f333(x80294),x80292),f331(f176(x80294),f173(x80294,x80295,x80293))))
% 204.32/204.32 [8030]P107(f331(x80301,x80302))+~P107(f331(x80301,x80303))+~P107(f331(f331(f333(x80304),x80303),f331(f176(x80304),f173(x80304,x80305,x80302))))
% 204.32/204.32 [8035]~P111(x80351)+P107(f331(f331(f239(f935(x80351,a923)),f307(x80351,x80352,x80353)),f307(x80351,x80354,x80355)))+P107(f331(f331(f239(x80351),x80352),x80353))
% 204.32/204.32 [8058]~P4(x80581)+P107(f331(f331(f239(x80581),f331(f331(f40(x80582,x80581),x80583),x80584)),f331(x80584,x80585)))+~P107(f331(f331(f333(x80582),x80585),x80583))
% 204.32/204.32 [8125]~P24(x81251,x81252,x81254,x81253)+E(f331(f77(x81251,x81252,x81253,x81254),f331(x81254,x81255)),x81255)+~P107(f331(f331(f333(x81251),x81255),x81253))
% 204.32/204.32 [8126]~P24(x81261,x81262,x81264,x81263)+E(f331(f92(x81261,x81262,x81263,x81264),f331(x81264,x81265)),x81265)+~P107(f331(f331(f333(x81261),x81265),x81263))
% 204.32/204.32 [8327]~P107(f331(x83271,x83275))+P107(f331(x83271,f401(x83271,x83272,x83273,x83274)))+~P107(f331(f331(f333(x83274),x83275),x83273))
% 204.32/204.32 [8328]~P107(f331(x83281,x83285))+P107(f331(x83281,f401(x83281,x83282,x83283,x83284)))+~P107(f331(f331(f333(x83284),x83285),x83282))
% 204.32/204.32 [8420]P107(f331(f61(x84201),x84202))+~P107(f331(f61(x84203),x84204))+~P107(f331(f331(f239(f935(x84201,a923)),x84202),f331(f314(x84203,x84201,x84205),x84204)))
% 204.32/204.32 [8587]E(x85871,x85872)+~P24(x85873,x85874,x85875,f331(f331(f114(f935(x85873,a923)),f331(f176(x85873),x85871)),f331(f176(x85873),x85872)))+~E(f331(f331(f158(x85873,x85874),x85875),x85871),f331(f331(f158(x85873,x85874),x85875),x85872))
% 204.32/204.32 [8639]~P111(x86391)+~P107(f331(f331(f240(f935(x86391,a923)),f307(x86391,x86394,x86395)),f307(x86391,x86392,x86393)))+P107(f331(f331(f239(x86391),x86392),x86393))
% 204.32/204.32 [8707]~P24(x87071,x87074,x87075,f246(f935(x87071,a923)))+~P107(f331(f331(f333(x87074),f331(x87075,x87072)),f331(f314(x87071,x87074,x87075),x87073)))+P107(f331(f331(f333(x87071),x87072),x87073))
% 204.32/204.32 [8789]P107(f331(x87891,x87892))+~P107(f331(x87891,f365(x87891,x87893,x87894,x87895)))+~P107(f331(f331(f333(x87895),x87892),x87894))
% 204.32/204.32 [8790]P107(f331(x87901,x87902))+~P107(f331(x87901,f365(x87901,x87903,x87904,x87905)))+~P107(f331(f331(f333(x87905),x87902),x87903))
% 204.32/204.32 [9089]~P24(x90892,x90893,x90891,x90894)+E(f331(x90891,f331(f77(x90892,x90893,x90894,x90891),x90895)),x90895)+~P107(f331(f331(f333(x90893),x90895),f331(f314(x90892,x90893,x90891),x90894)))
% 204.32/204.32 [9194]E(x91941,f117(x91942))+E(f331(f331(f155(x91942),x91943),f685(x91944,x91943,x91945,x91941,x91942)),x91941)+~E(f331(f331(f138(x91942),x91941),x91945),f331(f331(f155(x91942),x91943),x91944))
% 204.32/204.32 [9195]E(x91951,f117(x91952))+E(f331(f331(f155(x91952),x91953),f686(x91954,x91951,x91955,x91953,x91952)),x91951)+~E(f331(f331(f138(x91952),x91951),x91954),f331(f331(f155(x91952),x91953),x91955))
% 204.32/204.32 [9214]E(f331(f331(f155(x92142),x92143),f685(x92144,x92143,x92141,x92145,x92142)),x92145)+~E(f331(f331(f138(x92142),x92145),x92141),f331(f331(f155(x92142),x92143),x92144))+E(x92141,f331(f331(f155(x92142),x92143),x92144))
% 204.32/204.32 [9215]E(f331(f331(f155(x92151),x92152),f686(x92154,x92155,x92153,x92152,x92151)),x92155)+~E(f331(f331(f138(x92151),x92155),x92154),f331(f331(f155(x92151),x92152),x92153))+E(f331(f331(f155(x92151),x92152),x92153),x92154)
% 204.32/204.32 [9293]~E(f331(f314(x92933,x92932,x92934),f246(f935(x92933,a923))),f246(f935(x92932,a923)))+~E(f331(f314(x92931,x92933,x92935),f246(f935(x92931,a923))),f246(f935(x92933,a923)))+E(f331(f314(x92931,x92932,f331(f73(x92933,x92932,x92931,x92934),x92935)),f246(f935(x92931,a923))),f246(f935(x92932,a923)))
% 204.32/204.32 [9669]E(x96691,f117(x96692))+~E(f331(f331(f138(x96692),x96691),x96693),f331(f331(f155(x96692),x96695),x96694))+E(f331(f331(f138(x96692),f686(x96693,x96691,x96694,x96695,x96692)),x96693),x96694)
% 204.32/204.32 [9670]E(x96701,f117(x96702))+~E(f331(f331(f138(x96702),x96701),x96705),f331(f331(f155(x96702),x96704),x96703))+E(f331(f331(f138(x96702),f685(x96703,x96704,x96705,x96701,x96702)),x96705),x96703)
% 204.32/204.32 [9677]E(f331(f331(f138(x96772),f685(x96774,x96773,x96771,x96775,x96772)),x96771),x96774)+~E(f331(f331(f138(x96772),x96775),x96771),f331(f331(f155(x96772),x96773),x96774))+E(x96771,f331(f331(f155(x96772),x96773),x96774))
% 204.32/204.32 [9678]~E(f331(f331(f138(x96781),x96785),x96784),f331(f331(f155(x96781),x96782),x96783))+E(f331(f331(f138(x96781),f686(x96784,x96785,x96783,x96782,x96781)),x96784),x96783)+E(f331(f331(f155(x96781),x96782),x96783),x96784)
% 204.32/204.32 [9679]E(f331(f331(f138(x96791),x96795),f688(x96793,x96792,x96794,x96795,x96791)),x96792)+E(f331(f331(f138(x96791),x96792),f687(x96793,x96792,x96794,x96795,x96791)),x96795)+~E(f331(f331(f138(x96791),x96795),x96794),f331(f331(f138(x96791),x96792),x96793))
% 204.32/204.32 [9716]~P109(x97161)+P12(x97161,f331(f331(f158(x97162,x97161),x97163),f153(x97162,x97161,x97163,x97164,x97165)))+~P12(x97161,f331(f331(f158(x97162,x97161),x97163),x97165))
% 204.32/204.32 [9735]~P59(x97355,x97351,x97354,x97353)+P107(f331(f331(x97351,x97352),f545(x97353,x97354,x97351,x97355,x97352)))+~P107(f331(f331(f333(x97355),x97352),x97354))
% 204.32/204.32 [9736]~P59(x97365,x97361,x97364,x97363)+P107(f331(f331(x97361,x97362),f808(x97363,x97364,x97361,x97365,x97362)))+~P107(f331(f331(f333(x97365),x97362),x97364))
% 204.32/204.32 [9842]~P107(f331(f331(f333(f934(x98421,x98421)),f331(f331(f256(x98421,x98421),x98425),x98423)),f311(x98421,x98424)))+P107(f331(f331(f333(f934(x98421,x98421)),f331(f331(f256(x98421,x98421),x98422),x98423)),f331(f331(f293(x98421,x98421,x98421),x98424),f311(x98421,x98424))))+~P107(f331(f331(f333(f934(x98421,x98421)),f331(f331(f256(x98421,x98421),x98422),x98425)),f331(f331(f293(x98421,x98421,x98421),x98424),f311(x98421,x98424))))
% 204.32/204.32 [9843]~P107(f331(f331(f333(f934(x98431,x98431)),f331(f331(f256(x98431,x98431),x98432),x98435)),f311(x98431,x98434)))+P107(f331(f331(f333(f934(x98431,x98431)),f331(f331(f256(x98431,x98431),x98432),x98433)),f331(f331(f293(x98431,x98431,x98431),x98434),f311(x98431,x98434))))+~P107(f331(f331(f333(f934(x98431,x98431)),f331(f331(f256(x98431,x98431),x98435),x98433)),f331(f331(f293(x98431,x98431,x98431),x98434),f311(x98431,x98434))))
% 204.32/204.32 [9845]P107(f331(f331(f333(f934(f928(x98451),f928(x98451))),f331(f331(f256(f928(x98451),f928(x98451)),x98452),x98453)),f162(x98451,f311(x98451,x98454))))+~P107(f331(f331(f333(f934(f928(x98451),f928(x98451))),f331(f331(f256(f928(x98451),f928(x98451)),x98452),x98455)),f162(x98451,f311(x98451,x98454))))+~P107(f331(f331(f333(f934(f928(x98451),f928(x98451))),f331(f331(f256(f928(x98451),f928(x98451)),x98455),x98453)),f162(x98451,f311(x98451,x98454))))
% 204.32/204.32 [9849]E(f331(f331(f138(x98491),x98492),f687(x98493,x98492,x98494,x98495,x98491)),x98495)+E(f331(f331(f138(x98491),f688(x98493,x98492,x98494,x98495,x98491)),x98493),x98494)+~E(f331(f331(f138(x98491),x98492),x98493),f331(f331(f138(x98491),x98495),x98494))
% 204.32/204.32 [9850]E(f331(f331(f138(x98501),x98502),f688(x98503,x98504,x98505,x98502,x98501)),x98504)+E(f331(f331(f138(x98501),f687(x98503,x98504,x98505,x98502,x98501)),x98505),x98503)+~E(f331(f331(f138(x98501),x98502),x98505),f331(f331(f138(x98501),x98504),x98503))
% 204.32/204.32 [9904]P107(f331(f331(f333(f934(x99041,x99041)),f331(f331(f256(x99041,x99041),x99042),x99043)),f331(f331(f293(x99041,x99041,x99041),x99044),f311(x99041,x99044))))+~P107(f331(f331(f333(f934(x99041,x99041)),f331(f331(f256(x99041,x99041),x99042),x99045)),f331(f331(f293(x99041,x99041,x99041),x99044),f311(x99041,x99044))))+~P107(f331(f331(f333(f934(x99041,x99041)),f331(f331(f256(x99041,x99041),x99045),x99043)),f331(f331(f293(x99041,x99041,x99041),x99044),f311(x99041,x99044))))
% 204.32/204.32 [9931]P35(x99311,x99312,x99313,x99314,x99315)+~E(f331(f193(f928(x99311)),x99314),f331(f193(f928(x99312)),x99315))+~P107(f331(f331(f261(x99311,x99312,a923),x99313),f707(x99315,x99314,x99313,x99312,x99311)))
% 204.32/204.32 [9932]P35(x99321,x99322,x99323,x99324,x99325)+~E(f331(f193(f928(x99321)),x99324),f331(f193(f928(x99322)),x99325))+~P107(f331(f331(f261(x99321,x99322,a923),x99323),f708(x99323,x99325,x99324,x99322,x99321)))
% 204.32/204.32 [9937]E(f331(f331(f138(x99371),f687(x99372,x99373,x99374,x99375,x99371)),x99374),x99372)+~E(f331(f331(f138(x99371),x99373),x99372),f331(f331(f138(x99371),x99375),x99374))+E(f331(f331(f138(x99371),f688(x99372,x99373,x99374,x99375,x99371)),x99372),x99374)
% 204.32/204.32 [9952]~P109(x99522)+E(f331(f331(f152(x99521,x99522,x99523),x99524),x99525),f331(f331(f155(x99521),x99524),x99525))+P107(f331(f331(f333(x99521),f752(x99524,x99523,x99525,x99521,x99522)),f331(f176(x99521),x99525)))
% 204.32/204.32 [9956]~P59(x99561,x99564,x99563,x99562)+~P107(f331(f331(f333(x99561),x99565),x99563))+P107(f331(f331(f333(x99561),f545(x99562,x99563,x99564,x99561,x99565)),x99562))
% 204.32/204.32 [9957]~P59(x99571,x99574,x99573,x99572)+~P107(f331(f331(f333(x99571),x99575),x99573))+P107(f331(f331(f333(x99571),f808(x99572,x99573,x99574,x99571,x99575)),x99572))
% 204.32/204.32 [10071]~P107(f331(f331(f333(f934(f935(x100711,a923),f935(x100711,a923))),f331(f331(f256(f935(x100711,a923),f935(x100711,a923)),x100714),x100713)),f322(x100711,x100712)))+~P107(f331(f331(f333(x100711),x100715),x100714))+P107(f331(f331(f333(x100711),f610(x100712,x100713,x100714,x100711,x100715)),x100713))
% 204.32/204.32 [10082]~P109(x100822)+E(f331(f331(f152(x100821,x100822,x100823),x100824),x100825),f331(f331(f155(x100821),x100824),x100825))+~P107(f331(f331(f239(x100822),f331(x100823,x100824)),f331(x100823,f752(x100824,x100823,x100825,x100821,x100822))))
% 204.32/204.32 [10131]~P24(x101313,x101314,x101315,f246(f935(x101313,a923)))+P107(f331(x101311,x101312))+~P107(f331(x101311,f331(f92(x101313,x101314,f246(f935(x101313,a923)),x101315),f820(x101312,x101311,x101315,x101314,x101313))))
% 204.32/204.32 [10267]P35(x102671,x102672,x102673,x102674,x102675)+~E(f331(f193(f928(x102671)),x102674),f331(f193(f928(x102672)),x102675))+~P107(f331(f331(x102673,f331(f331(f168(x102671),x102674),f709(x102675,x102674,x102673,x102672,x102671))),f331(f331(f168(x102672),x102675),f709(x102675,x102674,x102673,x102672,x102671))))
% 204.32/204.32 [10268]P35(x102681,x102682,x102683,x102684,x102685)+~E(f331(f193(f928(x102681)),x102684),f331(f193(f928(x102682)),x102685))+~P107(f331(f331(x102683,f331(f331(f168(x102681),x102684),f744(x102683,x102685,x102682,x102684,x102681))),f331(f331(f168(x102682),x102685),f744(x102683,x102685,x102682,x102684,x102681))))
% 204.32/204.32 [6815]~P16(x68152,x68155,x68151)+~P107(f331(f61(x68152),x68154))+E(f331(x68151,f331(f331(f313(x68152),x68153),x68154)),f331(f331(f64(x68152,x68152,x68155),x68153),x68154))
% 204.32/204.32 [6816]~E(x68163,x68164)+~E(x68162,x68165)+E(f331(f331(f313(x68161),x68162),f331(f331(f313(x68161),x68163),f192(f935(x68161,a923)))),f331(f331(f313(x68161),x68164),f331(f331(f313(x68161),x68165),f192(f935(x68161,a923)))))
% 204.32/204.32 [6828]P107(f331(x68282,x68285))+E(f181(x68281,x68282,f331(f331(f138(x68281),x68283),x68284)),f181(x68281,x68282,x68283))+~P107(f331(f331(f333(x68281),x68285),f331(f176(x68281),x68283)))
% 204.32/204.32 [6864]E(f331(x68641,x68642),f192(f935(x68643,a923)))+~E(f331(f331(f39(x68644,f935(x68643,a923)),x68645),x68641),f192(f935(x68643,a923)))+~P107(f331(f331(f333(x68644),x68642),x68645))
% 204.32/204.32 [6865]E(f331(x68651,x68652),f246(f935(x68653,a923)))+~E(f331(f331(f40(x68654,f935(x68653,a923)),x68655),x68651),f246(f935(x68653,a923)))+~P107(f331(f331(f333(x68654),x68652),x68655))
% 204.32/204.32 [7165]~P107(f331(f331(f198(x71651),x71653),x71655))+~P107(f331(f331(f198(x71652),x71655),x71654))+P107(f331(f331(f198(f30(x71651,x71652)),x71653),x71654))
% 204.32/204.32 [7371]~E(x73712,x73714)+~P145(x73711)+E(f331(f331(f80(x73711),f331(f331(f81(x73711),x73712),x73713)),f331(f331(f81(x73711),x73714),x73715)),f331(f331(f80(x73711),f331(f331(f81(x73711),x73712),x73715)),f331(f331(f81(x73711),x73714),x73713)))
% 204.32/204.32 [7431]~P4(x74311)+~P107(f331(f331(f333(x74314),x74313),x74315))+P107(f331(f331(f239(x74311),f331(x74312,x74313)),f331(f331(f39(x74314,x74311),x74315),x74312)))
% 204.32/204.32 [7484]~P110(x74841)+P107(f331(f331(f239(x74841),f331(x74842,x74843)),f331(x74844,x74843)))+~P107(f331(f331(f239(f935(x74845,x74841)),x74842),x74844))
% 204.32/204.32 [7603]E(x76031,x76032)+E(x76033,x76031)+~E(f331(f331(f313(x76034),x76031),f331(f331(f313(x76034),x76035),f192(f935(x76034,a923)))),f331(f331(f313(x76034),x76032),f331(f331(f313(x76034),x76033),f192(f935(x76034,a923)))))
% 204.32/204.32 [7604]E(x76041,x76042)+E(x76043,x76041)+~E(f331(f331(f313(x76044),x76043),f331(f331(f313(x76044),x76042),f192(f935(x76044,a923)))),f331(f331(f313(x76044),x76045),f331(f331(f313(x76044),x76041),f192(f935(x76044,a923)))))
% 204.32/204.32 [7605]E(x76051,x76052)+E(x76051,x76053)+~E(f331(f331(f313(x76054),x76053),f331(f331(f313(x76054),x76052),f192(f935(x76054,a923)))),f331(f331(f313(x76054),x76055),f331(f331(f313(x76054),x76051),f192(f935(x76054,a923)))))
% 204.32/204.32 [7606]E(x76061,x76062)+E(x76061,x76063)+~E(f331(f331(f313(x76064),x76061),f331(f331(f313(x76064),x76065),f192(f935(x76064,a923)))),f331(f331(f313(x76064),x76062),f331(f331(f313(x76064),x76063),f192(f935(x76064,a923)))))
% 204.32/204.32 [8135]P24(x81351,x81352,x81353,x81354)+~P24(x81351,x81352,x81353,x81355)+~P107(f331(f331(f239(f935(x81351,a923)),x81354),x81355))
% 204.32/204.32 [8164]~E(f331(x81643,x81645),x81644)+~P24(x81641,x81642,x81643,f246(f935(x81641,a923)))+E(f331(f92(x81641,x81642,f246(f935(x81641,a923)),x81643),x81644),x81645)
% 204.32/204.32 [8237]P107(f331(x82371,x82372))+~P107(f331(f331(f198(x82374),x82372),x82375))+P107(f331(f331(f198(f27(x82371,x82373,x82374)),x82372),x82375))
% 204.32/204.32 [8265]~P107(f331(x82651,x82654))+~P107(f331(f331(f198(x82652),x82654),x82655))+P107(f331(f331(f198(f27(x82651,x82652,x82653)),x82654),x82655))
% 204.32/204.32 [8316]E(x83161,x83162)+~E(f331(f314(x83163,x83164,x83165),x83161),f331(f314(x83163,x83164,x83165),x83162))+~P24(x83163,x83164,x83165,f331(f331(f114(f935(x83163,a923)),x83161),x83162))
% 204.32/204.32 [8389]P107(f331(x83892,x83894))+E(f331(f331(f142(x83891),f331(f193(f928(x83891)),f181(x83891,x83892,x83893))),x83893),f331(f331(f155(x83891),x83894),x83895))+~E(f331(f331(f138(x83891),f181(x83891,x83892,x83893)),f331(f331(f155(x83891),x83894),x83895)),x83893)
% 204.32/204.32 [8418]~P24(x84181,x84182,x84183,x84185)+~P24(x84181,x84182,x84183,x84184)+P24(x84181,x84182,x84183,f331(f331(f105(f935(x84181,a923)),x84184),x84185))
% 204.32/204.32 [8525]~P72(x85251)+E(f331(f331(f80(x85251),f331(x85252,x85253)),f331(f169(x85251),f331(f331(f158(x85254,x85251),x85252),f174(x85254,x85253,x85255)))),f331(f169(x85251),f331(f331(f158(x85254,x85251),x85252),x85255)))+~P107(f331(f331(f333(x85254),x85253),f331(f176(x85254),x85255)))
% 204.32/204.32 [8613]~P109(x86131)+~P12(x86131,f331(f331(f158(x86132,x86131),x86133),x86135))+P12(x86131,f331(f331(f158(x86132,x86131),x86133),f331(f331(f152(x86132,x86131,x86133),x86134),x86135)))
% 204.32/204.32 [8692]P107(f331(x86921,x86922))+P107(f331(f331(f198(x86923),x86922),x86924))+~P107(f331(f331(f198(f27(x86921,x86925,x86923)),x86922),x86924))
% 204.32/204.32 [8703]~P4(x87031)+P107(f331(f331(f239(x87031),f331(f331(f39(x87032,x87031),x87033),x87034)),f331(f331(f39(x87032,x87031),x87035),x87034)))+~P107(f331(f331(f239(f935(x87032,a923)),x87033),x87035))
% 204.32/204.32 [8704]~P4(x87041)+P107(f331(f331(f239(x87041),f331(f331(f40(x87042,x87041),x87043),x87044)),f331(f331(f40(x87042,x87041),x87045),x87044)))+~P107(f331(f331(f239(f935(x87042,a923)),x87045),x87043))
% 204.32/204.32 [8713]~P107(f331(x87134,x87132))+P107(f331(f331(f198(x87131),x87132),x87133))+~P107(f331(f331(f198(f27(x87134,x87131,x87135)),x87132),x87133))
% 204.32/204.32 [8740]~P109(x87403)+P107(f331(f141(x87401),x87402))+~P107(f331(f141(x87401),f331(f331(f152(x87401,x87403,x87404),x87405),x87402)))
% 204.32/204.32 [8750]P107(f331(f331(f198(x87501),x87502),x87503))+P107(f331(f331(f198(x87504),x87502),x87503))+~P107(f331(f331(f198(f27(x87505,x87501,x87504)),x87502),x87503))
% 204.32/204.32 [8888]~P109(x88881)+~P107(f331(f331(f333(x88882),x88883),f331(f176(x88882),x88884)))+~P107(f331(f141(x88882),f331(f331(f152(x88882,x88881,x88885),x88883),x88884)))
% 204.32/204.32 [8978]~P109(x89781)+P12(x89781,f331(f331(f158(x89782,x89781),x89783),x89784))+~P12(x89781,f331(f331(f158(x89782,x89781),x89783),f331(f331(f152(x89782,x89781,x89783),x89785),x89784)))
% 204.32/204.32 [9024]~P24(x90242,x90241,x90244,x90243)+E(f331(f314(x90241,x90242,f92(x90242,x90241,x90243,x90244)),f331(f314(x90242,x90241,x90244),x90245)),x90245)+~P107(f331(f331(f239(f935(x90242,a923)),x90245),x90243))
% 204.32/204.32 [9077]~P109(x90772)+E(f331(f331(f152(x90771,x90772,x90773),x90774),x90775),f153(x90771,x90772,x90773,x90774,x90775))+P107(f331(f331(f333(x90772),f331(x90773,x90774)),f331(f314(x90771,x90772,x90773),f331(f176(x90771),x90775))))
% 204.32/204.32 [9158]~P109(x91582)+E(f153(x91581,x91582,x91583,x91584,x91585),x91585)+~P107(f331(f331(f333(x91582),f331(x91583,x91584)),f331(f314(x91581,x91582,x91583),f331(f176(x91581),x91585))))
% 204.32/204.32 [9174]~P24(x91742,x91741,x91743,x91745)+P107(f331(f331(f240(f935(x91741,a923)),f331(f314(x91742,x91741,x91743),x91744)),f331(f314(x91742,x91741,x91743),x91745)))+~P107(f331(f331(f240(f935(x91742,a923)),x91744),x91745))
% 204.32/204.32 [9334]~P24(x93341,x93342,x93343,f246(f935(x93341,a923)))+~P107(f331(f331(f239(f935(x93342,a923)),x93344),f331(f314(x93341,x93342,x93343),x93345)))+P107(f331(f331(f239(f935(x93341,a923)),f331(f315(x93341,x93342,x93343),x93344)),x93345))
% 204.32/204.32 [9357]~E(f331(f314(x93573,x93571,x93574),f246(f935(x93573,a923))),f246(f935(x93571,a923)))+P107(f331(f331(f239(f935(x93571,a923)),x93572),f331(f314(x93573,x93571,x93574),x93575)))+~P107(f331(f331(f239(f935(x93573,a923)),f331(f315(x93573,x93571,x93574),x93572)),x93575))
% 204.32/204.32 [9464]~P24(x94641,x94644,x94645,f246(f935(x94641,a923)))+~P107(f331(f331(f239(f935(x94644,a923)),f331(f314(x94641,x94644,x94645),x94642)),f331(f314(x94641,x94644,x94645),x94643)))+P107(f331(f331(f239(f935(x94641,a923)),x94642),x94643))
% 204.32/204.32 [9593]~P84(x95931)+~E(f331(x95933,f728(x95933,x95934,x95935,x95932,x95931)),f2(x95931))+E(f331(f169(x95931),f331(f331(f158(x95932,x95931),x95933),f331(f140(x95932,x95934),x95935))),f331(f169(x95931),f331(f331(f158(x95932,x95931),x95933),x95935)))
% 204.32/204.32 [9620]~P25(x96201,x96202,x96203,f246(f935(x96201,a923)),f246(f935(x96202,a923)))+~P107(f331(f331(f239(f935(x96202,a923)),x96204),f331(f314(x96201,x96202,x96203),x96205)))+P107(f331(f331(f239(f935(x96201,a923)),f331(f315(x96201,x96202,x96203),x96204)),x96205))
% 204.32/204.32 [9649]~P25(x96493,x96491,x96494,f246(f935(x96493,a923)),f246(f935(x96491,a923)))+P107(f331(f331(f239(f935(x96491,a923)),x96492),f331(f314(x96493,x96491,x96494),x96495)))+~P107(f331(f331(f239(f935(x96493,a923)),f331(f315(x96493,x96491,x96494),x96492)),x96495))
% 204.32/204.32 [9783]~P15(x97831,x97832,x97833)+~P107(f331(f61(x97831),x97835))+P107(f331(f66(x97831,x97832,x97833,x97834,x97835),f331(f331(f64(x97831,x97832,x97833),x97834),x97835)))
% 204.32/204.32 [9862]~P25(x98622,x98621,x98624,f246(f935(x98622,a923)),f246(f935(x98621,a923)))+~P25(x98621,x98623,x98625,f246(f935(x98621,a923)),f246(f935(x98623,a923)))+E(f331(f73(x98621,x98622,x98623,f92(x98622,x98621,f246(f935(x98622,a923)),x98624)),f92(x98621,x98623,f246(f935(x98621,a923)),x98625)),f92(x98622,x98623,f246(f935(x98622,a923)),f331(f73(x98621,x98623,x98622,x98625),x98624)))
% 204.32/204.32 [9863]P107(f331(x98631,f646(x98632,x98631,x98633,x98634,x98635)))+~P107(f331(f331(f239(f935(x98635,a923)),x98634),x98633))+P107(f331(f331(f239(f935(x98635,a923)),f331(f331(f105(f935(x98635,a923)),x98634),f331(f266(x98635),x98631))),f331(f331(f105(f935(x98635,a923)),x98633),f331(f266(x98635),x98632))))
% 204.32/204.32 [9877]~P84(x98771)+~P107(f331(x98774,f728(x98773,x98774,x98775,x98772,x98771)))+E(f331(f169(x98771),f331(f331(f158(x98772,x98771),x98773),f331(f140(x98772,x98774),x98775))),f331(f169(x98771),f331(f331(f158(x98772,x98771),x98773),x98775)))
% 204.32/204.32 [9954]~P4(x99545)+P107(f331(f331(f333(x99541),f897(x99542,x99543,x99541,x99544,x99545)),x99543))+P107(f331(f331(f239(x99545),x99544),f331(f331(f40(x99541,x99545),x99543),x99542)))
% 204.32/204.32 [9958]~P84(x99581)+E(f331(f169(x99581),f331(f331(f158(x99582,x99581),x99583),f331(f140(x99582,x99584),x99585))),f331(f169(x99581),f331(f331(f158(x99582,x99581),x99583),x99585)))+P107(f331(f331(f333(x99582),f728(x99583,x99584,x99585,x99582,x99581)),f331(f176(x99582),x99585)))
% 204.32/204.32 [9968]~P107(f331(x99685,f646(x99685,x99683,x99684,x99682,x99681)))+~P107(f331(f331(f239(f935(x99681,a923)),x99682),x99684))+P107(f331(f331(f239(f935(x99681,a923)),f331(f331(f105(f935(x99681,a923)),x99682),f331(f266(x99681),x99683))),f331(f331(f105(f935(x99681,a923)),x99684),f331(f266(x99681),x99685))))
% 204.32/204.32 [9984]~P24(x99845,x99843,x99844,f246(f935(x99845,a923)))+P107(f331(x99841,x99842))+P107(f331(f331(f333(x99843),f820(x99842,x99841,x99844,x99843,x99845)),f331(f314(x99845,x99843,x99844),f246(f935(x99845,a923)))))
% 204.32/204.32 [10007]P35(x100071,x100072,x100073,x100074,x100075)+~E(f331(f193(f928(x100072)),x100075),f331(f193(f928(x100071)),x100074))+P107(f331(f331(f240(a927),f709(x100075,x100074,x100073,x100072,x100071)),f331(f193(f928(x100071)),x100074)))
% 204.32/204.32 [10008]P35(x100081,x100082,x100083,x100084,x100085)+~E(f331(f193(f928(x100082)),x100085),f331(f193(f928(x100081)),x100084))+P107(f331(f331(f240(a927),f744(x100083,x100085,x100082,x100084,x100081)),f331(f193(f928(x100081)),x100084)))
% 204.32/204.32 [10039]P107(f331(f331(f333(x100391),f646(x100392,x100393,x100394,x100395,x100391)),x100395))+~P107(f331(f331(f239(f935(x100391,a923)),x100395),x100394))+P107(f331(f331(f239(f935(x100391,a923)),f331(f331(f105(f935(x100391,a923)),x100395),f331(f266(x100391),x100393))),f331(f331(f105(f935(x100391,a923)),x100394),f331(f266(x100391),x100392))))
% 204.32/204.32 [10083]~P4(x100831)+~P107(f331(f331(f239(x100831),x100832),f331(x100835,f897(x100835,x100834,x100833,x100832,x100831))))+P107(f331(f331(f239(x100831),x100832),f331(f331(f40(x100833,x100831),x100834),x100835)))
% 204.32/204.32 [10120]~P71(x101201)+~P107(f331(f61(x101202),x101205))+E(f331(f331(f331(f65(x101201,x101202,f81(x101201)),f331(f331(f18(x101202,x101201,x101201),f331(f331(f8(x101201,f935(x101201,x101201),x101202),f81(x101201)),x101203)),x101204)),f78(x101201)),x101205),f331(f331(f81(x101201),f331(f331(f331(f65(x101201,x101202,f81(x101201)),x101203),f78(x101201)),x101205)),f331(f331(f331(f65(x101201,x101202,f81(x101201)),x101204),f78(x101201)),x101205)))
% 204.32/204.32 [10175]~P107(f331(f331(f333(f934(f935(x101751,a923),f935(x101751,a923))),f331(f331(f256(f935(x101751,a923),f935(x101751,a923)),x101755),x101754)),f322(x101751,x101753)))+~P107(f331(f331(f333(x101751),x101752),x101755))+P107(f331(f331(f333(f934(x101751,x101751)),f331(f331(f256(x101751,x101751),x101752),f610(x101753,x101754,x101755,x101751,x101752))),x101753))
% 204.32/204.32 [10300]~P107(f331(f331(f333(f934(f928(x103001),f928(x103001))),f331(f331(f256(f928(x103001),f928(x103001)),f331(f331(f138(x103001),x103005),x103002)),f331(f331(f138(x103001),x103005),x103003))),f151(x103001,x103004)))+P107(f331(f331(f333(f934(f928(x103001),f928(x103001))),f331(f331(f256(f928(x103001),f928(x103001)),x103002),x103003)),f151(x103001,x103004)))+P107(f331(f331(f333(f934(x103001,x103001)),f331(f331(f256(x103001,x103001),f697(x103004,x103003,x103002,x103005,x103001)),f697(x103004,x103003,x103002,x103005,x103001))),x103004))
% 204.32/204.32 [7487]~E(x74873,x74875)+E(f331(f331(f168(x74871),f331(f331(f163(x74871,x74872),x74873),x74874)),x74875),x74874)+~P107(f331(f331(f240(a927),x74873),f331(f193(f928(x74871)),x74872)))
% 204.32/204.32 [7599]~E(f331(f331(f138(x75991),x75992),x75994),f331(f331(f138(x75991),x75993),x75995))+E(f331(f331(f179(x75991),f331(f193(f928(x75991)),x75992)),x75993),x75992)+P107(f331(f331(f239(a927),f331(f193(f928(x75991)),x75993)),f331(f193(f928(x75991)),x75992)))
% 204.32/204.32 [8096]~E(f331(f331(f138(x80961),x80962),x80964),f331(f331(f138(x80961),x80963),x80965))+E(f331(f331(f179(x80961),f331(f193(f928(x80961)),x80962)),x80963),x80962)+~P107(f331(f331(f239(a927),f331(f193(f928(x80961)),x80962)),f331(f193(f928(x80961)),x80963)))
% 204.32/204.32 [8120]~P107(f331(f61(x81201),f331(x81204,x81205)))+~P107(f331(f331(f333(x81202),x81205),x81203))+P107(f331(f61(x81201),f331(f331(f40(x81202,f935(x81201,a923)),x81203),x81204)))
% 204.32/204.32 [8300]~P53(x83001,x83003,x83005)+~P53(x83001,x83002,x83004)+P53(x83001,f331(f331(f114(f935(x83001,a923)),x83002),x83003),f331(f331(f114(f935(f934(x83001,x83001),a923)),x83004),x83005))
% 204.32/204.32 [8301]~P53(x83011,x83013,x83015)+~P53(x83011,x83012,x83014)+P53(x83011,f331(f331(f105(f935(x83011,a923)),x83012),x83013),f331(f331(f105(f935(f934(x83011,x83011),a923)),x83014),x83015))
% 204.32/204.32 [8654]E(f331(f331(f256(x86541,x86542),f331(f331(f168(x86541),x86543),x86544)),f331(f331(f168(x86542),x86545),x86544)),f331(f331(f168(f934(x86541,x86542)),f331(f331(f185(x86541,x86542),x86543),x86545)),x86544))+~P107(f331(f331(f240(a927),x86544),f331(f193(f928(x86541)),x86543)))+~P107(f331(f331(f240(a927),x86544),f331(f193(f928(x86542)),x86545)))
% 204.32/204.32 [8817]~P53(x88171,x88173,x88174)+P107(f331(f331(f333(x88171),x88172),x88173))+~P107(f331(f331(f333(f934(x88171,x88171)),f331(f331(f256(x88171,x88171),x88175),x88172)),x88174))
% 204.32/204.32 [8818]~P53(x88181,x88183,x88184)+P107(f331(f331(f333(x88181),x88182),x88183))+~P107(f331(f331(f333(f934(x88181,x88181)),f331(f331(f256(x88181,x88181),x88182),x88185)),x88184))
% 204.32/204.32 [8819]~P7(x88191,x88193,x88194)+P107(f331(f331(f333(x88191),x88192),x88193))+~P107(f331(f331(f333(f934(x88191,x88191)),f331(f331(f256(x88191,x88191),x88195),x88192)),x88194))
% 204.32/204.32 [8820]~P7(x88201,x88203,x88204)+P107(f331(f331(f333(x88201),x88202),x88203))+~P107(f331(f331(f333(f934(x88201,x88201)),f331(f331(f256(x88201,x88201),x88202),x88205)),x88204))
% 204.32/204.32 [9101]~P7(x91011,x91015,x91012)+E(f331(f289(x91011,x91011,x91012),f331(f331(f313(x91011),x91013),f192(f935(x91011,a923)))),f331(f289(x91011,x91011,x91012),f331(f331(f313(x91011),x91014),f192(f935(x91011,a923)))))+~P107(f331(f331(f333(f934(x91011,x91011)),f331(f331(f256(x91011,x91011),x91013),x91014)),x91012))
% 204.32/204.32 [9290]P107(f331(x92901,x92902))+~P107(f331(f331(f333(x92903),x92902),x92905))+P107(f331(f331(f333(x92903),f365(x92901,x92904,x92905,x92903)),f331(f331(f114(f935(x92903,a923)),x92905),x92904)))
% 204.32/204.32 [9291]P107(f331(x92911,x92912))+~P107(f331(f331(f333(x92913),x92912),x92914))+P107(f331(f331(f333(x92913),f365(x92911,x92914,x92915,x92913)),f331(f331(f114(f935(x92913,a923)),x92915),x92914)))
% 204.32/204.32 [9299]~P107(f331(x92992,x92995))+~P107(f331(f331(f333(x92991),x92995),x92994))+P107(f331(f331(f333(x92991),f401(x92992,x92993,x92994,x92991)),f331(f331(f114(f935(x92991,a923)),x92994),x92993)))
% 204.32/204.32 [9300]~P107(f331(x93002,x93005))+~P107(f331(f331(f333(x93001),x93005),x93003))+P107(f331(f331(f333(x93001),f401(x93002,x93003,x93004,x93001)),f331(f331(f114(f935(x93001,a923)),x93004),x93003)))
% 204.32/204.32 [9315]~P107(f331(f331(f239(f935(x93151,a923)),x93153),x93155))+~P107(f331(f331(f239(f935(x93151,a923)),x93152),x93154))+P107(f331(f331(f239(f935(x93151,a923)),f331(f331(f114(f935(x93151,a923)),x93152),x93153)),f331(f331(f114(f935(x93151,a923)),x93154),x93155)))
% 204.32/204.32 [9316]~P107(f331(f331(f239(f935(x93161,a923)),x93165),x93163))+~P107(f331(f331(f239(f935(x93161,a923)),x93162),x93164))+P107(f331(f331(f239(f935(x93161,a923)),f331(f331(f23(f935(x93161,a923)),x93162),x93163)),f331(f331(f23(f935(x93161,a923)),x93164),x93165)))
% 204.32/204.32 [9317]~P107(f331(f331(f239(f935(x93171,a923)),x93173),x93175))+~P107(f331(f331(f239(f935(x93171,a923)),x93172),x93174))+P107(f331(f331(f239(f935(x93171,a923)),f331(f331(f105(f935(x93171,a923)),x93172),x93173)),f331(f331(f105(f935(x93171,a923)),x93174),x93175)))
% 204.32/204.32 [9413]P107(f331(f331(f333(f934(x94131,x94131)),f331(f331(f256(x94131,x94131),x94132),x94133)),f325(x94131,x94134,x94135)))+~P107(f331(f331(f239(a927),f331(x94134,x94132)),f331(x94134,x94133)))+~P107(f331(f331(f333(f934(x94131,x94131)),f331(f331(f256(x94131,x94131),x94132),x94133)),x94135))
% 204.32/204.32 [9603]P107(f331(f331(f333(f934(x96031,x96031)),f331(f331(f256(x96031,x96031),x96032),x96033)),f311(x96031,x96034)))+~P107(f331(f331(f333(f934(x96031,x96031)),f331(f331(f256(x96031,x96031),x96032),x96035)),f311(x96031,x96034)))+~P107(f331(f331(f333(f934(x96031,x96031)),f331(f331(f256(x96031,x96031),x96035),x96033)),x96034))
% 204.32/204.32 [9604]P107(f331(f331(f333(f934(x96041,x96041)),f331(f331(f256(x96041,x96041),x96042),x96043)),f311(x96041,x96044)))+~P107(f331(f331(f333(f934(x96041,x96041)),f331(f331(f256(x96041,x96041),x96045),x96043)),f311(x96041,x96044)))+~P107(f331(f331(f333(f934(x96041,x96041)),f331(f331(f256(x96041,x96041),x96042),x96045)),x96044))
% 204.32/204.32 [9703]E(x97031,x97032)+E(f331(a116,f627(x97033,x97034,x97031,x97032,x97035)),x97034)+~P107(f331(f331(f333(f934(x97035,x97035)),f331(f331(f256(x97035,x97035),x97032),x97031)),f331(f331(f187(f934(x97035,x97035),a923),x97034),x97033)))
% 204.32/204.32 [9704]E(x97041,x97042)+E(f331(a116,f630(x97043,x97044,x97041,x97042,x97045)),x97044)+~P107(f331(f331(f333(f934(x97045,x97045)),f331(f331(f256(x97045,x97045),x97042),x97041)),f331(f331(f187(f934(x97045,x97045),a923),x97044),x97043)))
% 204.32/204.32 [9705]E(x97051,f2(a927))+E(f331(a116,f627(x97052,x97051,x97053,x97054,x97055)),x97051)+~P107(f331(f331(f333(f934(x97055,x97055)),f331(f331(f256(x97055,x97055),x97054),x97053)),f331(f331(f187(f934(x97055,x97055),a923),x97051),x97052)))
% 204.32/204.32 [9706]E(x97061,f2(a927))+E(f331(a116,f630(x97062,x97061,x97063,x97064,x97065)),x97061)+~P107(f331(f331(f333(f934(x97065,x97065)),f331(f331(f256(x97065,x97065),x97064),x97063)),f331(f331(f187(f934(x97065,x97065),a923),x97061),x97062)))
% 204.32/204.32 [9731]P107(f331(f331(f333(f934(x97311,x97311)),f331(f331(f256(x97311,x97311),x97312),x97313)),f331(f331(f293(x97311,x97311,x97311),x97314),f311(x97311,x97314))))+~P107(f331(f331(f333(f934(x97311,x97311)),f331(f331(f256(x97311,x97311),x97312),x97315)),x97314))+~P107(f331(f331(f333(f934(x97311,x97311)),f331(f331(f256(x97311,x97311),x97315),x97313)),x97314))
% 204.32/204.32 [9741]~P107(f331(f331(f333(f934(x97411,x97411)),f331(f331(f256(x97411,x97411),x97412),x97415)),f311(x97411,x97414)))+P107(f331(f331(f333(f934(x97411,x97411)),f331(f331(f256(x97411,x97411),x97412),x97413)),f331(f331(f293(x97411,x97411,x97411),x97414),f311(x97411,x97414))))+~P107(f331(f331(f333(f934(x97411,x97411)),f331(f331(f256(x97411,x97411),x97415),x97413)),x97414))
% 204.32/204.32 [9777]~P7(x97771,x97775,x97772)+~P107(f331(f331(f333(f934(x97771,x97771)),f331(f331(f256(x97771,x97771),x97773),x97774)),x97772))+P107(f331(f331(f239(f935(x97771,a923)),f331(f289(x97771,x97771,x97772),f331(f331(f313(x97771),x97773),f192(f935(x97771,a923))))),f331(f289(x97771,x97771,x97772),f331(f331(f313(x97771),x97774),f192(f935(x97771,a923))))))
% 204.32/204.32 [9835]P107(f331(f331(f333(f934(x98351,x98351)),f331(f331(f256(x98351,x98351),x98352),x98353)),f331(f331(f293(x98351,x98351,x98351),x98354),f311(x98351,x98354))))+~P107(f331(f331(f333(f934(x98351,x98351)),f331(f331(f256(x98351,x98351),x98352),x98355)),f331(f331(f293(x98351,x98351,x98351),x98354),f311(x98351,x98354))))+~P107(f331(f331(f333(f934(x98351,x98351)),f331(f331(f256(x98351,x98351),x98355),x98353)),x98354))
% 204.32/204.32 [9836]P107(f331(f331(f333(f934(x98361,x98361)),f331(f331(f256(x98361,x98361),x98362),x98363)),f331(f331(f293(x98361,x98361,x98361),x98364),f311(x98361,x98364))))+~P107(f331(f331(f333(f934(x98361,x98361)),f331(f331(f256(x98361,x98361),x98365),x98363)),f331(f331(f293(x98361,x98361,x98361),x98364),f311(x98361,x98364))))+~P107(f331(f331(f333(f934(x98361,x98361)),f331(f331(f256(x98361,x98361),x98362),x98365)),x98364))
% 204.32/204.32 [9886]~P107(f331(f66(x98861,x98861,x98864,x98862,x98863),x98865))+P107(f331(f331(f333(x98861),x98862),x98863))+P107(f331(f62(x98861,x98864,f331(f331(f313(x98861),x98862),x98863)),x98865))
% 204.32/204.32 [9924]~E(f331(f314(x99243,x99242,x99245),x99244),x99241)+E(x99241,f192(f935(x99242,a923)))+P107(f331(f331(f239(f935(x99243,a923)),f331(f314(x99242,x99243,f527(x99244,x99243,x99242,x99241)),x99241)),x99244))
% 204.32/204.32 [9971]~P4(x99715)+P107(f331(f331(f333(x99711),f879(x99712,x99713,x99714,x99711,x99715)),x99714))+P107(f331(f331(f239(x99715),f331(f331(f39(x99711,x99715),x99714),x99713)),x99712))
% 204.32/204.32 [10026]P35(x100261,x100262,x100263,x100264,x100265)+~E(f331(f193(f928(x100261)),x100264),f331(f193(f928(x100262)),x100265))+P107(f331(f331(f333(f934(x100261,x100262)),f707(x100265,x100264,x100263,x100262,x100261)),f331(f176(f934(x100261,x100262)),f331(f331(f185(x100261,x100262),x100264),x100265))))
% 204.32/204.32 [10027]P35(x100271,x100272,x100273,x100274,x100275)+~E(f331(f193(f928(x100271)),x100274),f331(f193(f928(x100272)),x100275))+P107(f331(f331(f333(f934(x100271,x100272)),f708(x100273,x100275,x100274,x100272,x100271)),f331(f176(f934(x100271,x100272)),f331(f331(f185(x100271,x100272),x100274),x100275))))
% 204.32/204.32 [10154]E(x101541,x101542)+P107(f331(f331(f333(f934(x101543,x101543)),f331(f331(f256(x101543,x101543),x101541),f631(x101544,x101545,x101542,x101541,x101543))),x101544))+~P107(f331(f331(f333(f934(x101543,x101543)),f331(f331(f256(x101543,x101543),x101541),x101542)),f331(f331(f187(f934(x101543,x101543),a923),x101545),x101544)))
% 204.32/204.32 [10155]E(x101551,f2(a927))+P107(f331(f331(f333(f934(x101552,x101552)),f331(f331(f256(x101552,x101552),x101553),f631(x101554,x101551,x101555,x101553,x101552))),x101554))+~P107(f331(f331(f333(f934(x101552,x101552)),f331(f331(f256(x101552,x101552),x101553),x101555)),f331(f331(f187(f934(x101552,x101552),a923),x101551),x101554)))
% 204.32/204.32 [10196]~P4(x101961)+~P107(f331(f331(f239(x101961),f331(x101964,f879(x101965,x101964,x101963,x101962,x101961))),x101965))+P107(f331(f331(f239(x101961),f331(f331(f39(x101962,x101961),x101963),x101964)),x101965))
% 204.32/204.32 [10237]E(x102371,x102372)+P107(f331(f331(f333(f934(x102373,x102373)),f331(f331(f256(x102373,x102373),f629(x102374,x102375,x102371,x102372,x102373)),x102371)),x102374))+~P107(f331(f331(f333(f934(x102373,x102373)),f331(f331(f256(x102373,x102373),x102372),x102371)),f331(f331(f187(f934(x102373,x102373),a923),x102375),x102374)))
% 204.32/204.32 [10238]E(x102381,f2(a927))+P107(f331(f331(f333(f934(x102382,x102382)),f331(f331(f256(x102382,x102382),f629(x102383,x102381,x102384,x102385,x102382)),x102384)),x102383))+~P107(f331(f331(f333(f934(x102382,x102382)),f331(f331(f256(x102382,x102382),x102385),x102384)),f331(f331(f187(f934(x102382,x102382),a923),x102381),x102383)))
% 204.32/204.32 [10242]E(x102421,x102422)+P107(f331(f331(f333(f934(x102423,x102423)),f331(f331(f256(x102423,x102423),x102421),f629(x102424,x102425,x102422,x102421,x102423))),f331(f331(f187(f934(x102423,x102423),a923),f627(x102424,x102425,x102422,x102421,x102423)),x102424)))+~P107(f331(f331(f333(f934(x102423,x102423)),f331(f331(f256(x102423,x102423),x102421),x102422)),f331(f331(f187(f934(x102423,x102423),a923),x102425),x102424)))
% 204.32/204.32 [10243]E(x102431,f2(a927))+P107(f331(f331(f333(f934(x102432,x102432)),f331(f331(f256(x102432,x102432),x102433),f629(x102434,x102431,x102435,x102433,x102432))),f331(f331(f187(f934(x102432,x102432),a923),f627(x102434,x102431,x102435,x102433,x102432)),x102434)))+~P107(f331(f331(f333(f934(x102432,x102432)),f331(f331(f256(x102432,x102432),x102433),x102435)),f331(f331(f187(f934(x102432,x102432),a923),x102431),x102434)))
% 204.32/204.32 [10291]E(x102911,x102912)+P107(f331(f331(f333(f934(x102913,x102913)),f331(f331(f256(x102913,x102913),f631(x102914,x102915,x102911,x102912,x102913)),x102911)),f331(f331(f187(f934(x102913,x102913),a923),f630(x102914,x102915,x102911,x102912,x102913)),x102914)))+~P107(f331(f331(f333(f934(x102913,x102913)),f331(f331(f256(x102913,x102913),x102912),x102911)),f331(f331(f187(f934(x102913,x102913),a923),x102915),x102914)))
% 204.32/204.32 [10292]E(x102921,f2(a927))+P107(f331(f331(f333(f934(x102922,x102922)),f331(f331(f256(x102922,x102922),f631(x102923,x102921,x102924,x102925,x102922)),x102924)),f331(f331(f187(f934(x102922,x102922),a923),f630(x102923,x102921,x102924,x102925,x102922)),x102923)))+~P107(f331(f331(f333(f934(x102922,x102922)),f331(f331(f256(x102922,x102922),x102925),x102924)),f331(f331(f187(f934(x102922,x102922),a923),x102921),x102923)))
% 204.32/204.32 [10327]~P72(x103272)+~P107(f331(f61(x103271),x103275))+E(f331(f331(f6(x103271,x103272),f331(f331(f7(x103271,x103272,x103272),f331(f331(f18(x103271,x103272,f935(x103272,x103272)),f331(f331(f8(a923,f935(x103272,f935(x103272,x103272)),x103271),f100(x103272)),f331(f331(f7(x103271,f935(x103271,a923),a923),f333(x103271)),x103273))),x103274)),f2(x103272))),x103275),f331(f331(f6(x103271,x103272),x103274),f331(f331(f105(f935(x103271,a923)),x103275),x103273)))
% 204.32/204.32 [8885]~P72(x88851)+~P107(f331(f61(x88854),x88855))+E(f331(f331(f80(x88851),f331(x88852,x88853)),f331(f331(f6(x88854,x88851),x88852),f331(f331(f23(f935(x88854,a923)),x88855),f331(f331(f313(x88854),x88853),f192(f935(x88854,a923)))))),f331(f331(f6(x88854,x88851),x88852),f331(f331(f313(x88854),x88853),x88855)))
% 204.32/204.32 [8886]~P71(x88861)+~P107(f331(f61(x88864),x88865))+E(f331(f331(f81(x88861),f331(x88862,x88863)),f331(f331(f9(x88864,x88861),x88862),f331(f331(f23(f935(x88864,a923)),x88865),f331(f331(f313(x88864),x88863),f192(f935(x88864,a923)))))),f331(f331(f9(x88864,x88861),x88862),f331(f331(f313(x88864),x88863),x88865)))
% 204.32/204.32 [9221]~P109(x92212)+~P12(x92212,f331(f172(x92212),f331(f331(f158(x92211,x92212),x92214),x92215)))+E(f331(f140(x92211,f331(f331(f8(x92212,a923,x92211),f331(f240(x92212),x92213)),x92214)),x92215),f181(x92211,f331(f331(f8(x92212,a923,x92211),f331(f240(x92212),x92213)),x92214),x92215))
% 204.32/204.32 [9245]~P72(x92451)+E(f331(f331(f80(x92451),f331(f331(f6(a927,x92451),x92452),f307(a927,x92453,x92454))),f331(f331(f6(a927,x92451),x92452),f307(a927,f331(f331(f80(a927),x92454),f78(a927)),f331(f331(f80(a927),x92454),x92455)))),f331(f331(f6(a927,x92451),x92452),f307(a927,x92453,f331(f331(f80(a927),x92454),x92455))))+~P107(f331(f331(f239(a927),x92453),f331(f331(f80(a927),x92454),f78(a927))))
% 204.32/204.32 [9246]~P107(f331(f331(f333(x92461),x92464),x92465))+~P107(f331(f331(f239(f935(x92461,a923)),f331(f176(x92461),x92462)),x92465))+P107(f331(f331(f239(f935(x92461,a923)),f331(f176(x92461),f331(f331(f163(x92461,x92462),x92463),x92464))),x92465))
% 204.32/204.32 [9473]~P4(x94732)+~P107(f331(f61(x94731),x94735))+E(f331(f331(f64(x94731,x94732,f331(f331(f8(x94732,f935(x94732,x94732),x94731),f114(x94732)),x94733)),x94734),x94735),f331(f331(f114(x94732),x94734),f331(f331(f39(x94731,x94732),x94735),x94733)))
% 204.32/204.32 [9474]~P4(x94742)+~P107(f331(f61(x94741),x94745))+E(f331(f331(f64(x94741,x94742,f331(f331(f8(x94742,f935(x94742,x94742),x94741),f105(x94742)),x94743)),x94744),x94745),f331(f331(f105(x94742),x94744),f331(f331(f40(x94741,x94742),x94745),x94743)))
% 204.32/204.32 [9526]E(f331(x95261,x95262),f331(x95261,x95263))+P107(f331(f331(f240(a927),f331(x95261,x95262)),f331(x95261,x95263)))+~P107(f331(f331(f333(f934(x95264,x95264)),f331(f331(f256(x95264,x95264),x95262),x95263)),f157(x95264,f331(f331(f155(f935(x95264,a927)),x95261),x95265))))
% 204.32/204.32 [9559]~E(f331(x95594,x95592),f331(x95594,x95593))+~P107(f331(f331(f333(f934(x95591,x95591)),f331(f331(f256(x95591,x95591),x95592),x95593)),f157(x95591,x95595)))+P107(f331(f331(f333(f934(x95591,x95591)),f331(f331(f256(x95591,x95591),x95592),x95593)),f157(x95591,f331(f331(f155(f935(x95591,a927)),x95594),x95595))))
% 204.32/204.32 [9580]~P24(x95801,x95802,x95803,x95805)+P24(x95801,x95802,x95803,f331(f331(f313(x95801),x95804),x95805))+P107(f331(f331(f333(x95802),f331(x95803,x95804)),f331(f314(x95801,x95802,x95803),f331(f331(f23(f935(x95801,a923)),x95805),f331(f331(f313(x95801),x95804),f192(f935(x95801,a923)))))))
% 204.32/204.32 [9584]P107(f331(x95842,x95845))+~P107(f331(f331(f333(x95841),x95845),f331(f176(x95841),x95843)))+E(f331(f331(f142(x95841),f331(f193(f928(x95841)),f181(x95841,x95842,f331(f331(f138(x95841),x95843),x95844)))),f331(f331(f138(x95841),x95843),x95844)),f331(f331(f138(x95841),f331(f331(f142(x95841),f331(f193(f928(x95841)),f181(x95841,x95842,x95843))),x95843)),x95844))
% 204.32/204.32 [9589]~P107(f331(f331(f333(f934(x95891,x95891)),f331(f331(f256(x95891,x95891),x95892),x95893)),f157(x95891,x95895)))+~P107(f331(f331(f239(a927),f331(x95894,x95892)),f331(x95894,x95893)))+P107(f331(f331(f333(f934(x95891,x95891)),f331(f331(f256(x95891,x95891),x95892),x95893)),f157(x95891,f331(f331(f155(f935(x95891,a927)),x95894),x95895))))
% 204.32/204.32 [9654]P107(f331(f331(f333(f934(x96544,x96544)),f331(f331(f256(x96544,x96544),x96542),x96543)),f157(x96544,x96545)))+P107(f331(f331(f240(a927),f331(x96541,x96542)),f331(x96541,x96543)))+~P107(f331(f331(f333(f934(x96544,x96544)),f331(f331(f256(x96544,x96544),x96542),x96543)),f157(x96544,f331(f331(f155(f935(x96544,a927)),x96541),x96545))))
% 204.32/204.32 [9807]~P107(f331(f331(f333(f934(f928(x98071),f928(x98071))),f331(f331(f256(f928(x98071),f928(x98071)),x98072),x98074)),f162(x98071,x98075)))+~P107(f331(f331(f240(a927),x98073),f331(f193(f928(x98071)),x98072)))+P107(f331(f331(f333(f934(x98071,x98071)),f331(f331(f256(x98071,x98071),f331(f331(f168(x98071),x98072),x98073)),f331(f331(f168(x98071),x98074),x98073))),x98075))
% 204.32/204.32 [10049]E(x100491,f2(a1))+~P107(f331(f49(x100493,x100491),f331(f331(f256(a1,a1),x100494),x100495)))+P107(f331(f49(f331(f331(f81(a1),x100492),x100493),x100491),f331(f331(f256(a1,a1),f331(f331(f80(a1),f331(f331(f81(a1),x100492),x100494)),f331(f331(f36(a1),f331(f331(f81(a1),x100492),x100495)),x100491))),f45(a1,f331(f331(f81(a1),x100492),x100495),x100491))))
% 204.32/204.32 [10050]~P107(f331(f331(f240(a927),f2(a927)),x100503))+~P107(f331(f48(x100502,x100503),f331(f331(f256(a927,a927),x100504),x100505)))+P107(f331(f48(f331(f331(f81(a927),x100501),x100502),x100503),f331(f331(f256(a927,a927),f331(f331(f80(a927),f331(f331(f81(a927),x100501),x100504)),f331(f331(f36(a927),f331(f331(f81(a927),x100501),x100505)),x100503))),f45(a927,f331(f331(f81(a927),x100501),x100505),x100503))))
% 204.32/204.32 [10351]~P72(x103512)+~P107(f331(f61(x103511),x103514))+E(f331(f331(f6(x103511,x103512),x103513),f331(f266(x103511),f331(f331(f18(x103511,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103511),a329),f331(f331(f7(x103511,f935(x103511,a923),a923),f333(x103511)),x103514))),f331(f331(f7(x103511,f935(x103511,a923),a923),f333(x103511)),x103515)))),f331(f331(f6(x103511,x103512),f331(f331(f7(x103511,x103512,x103512),f331(f331(f18(x103511,x103512,f935(x103512,x103512)),f331(f331(f8(a923,f935(x103512,f935(x103512,x103512)),x103511),f100(x103512)),f331(f331(f7(x103511,f935(x103511,a923),a923),f333(x103511)),x103515))),x103513)),f2(x103512))),x103514))
% 204.32/204.32 [8504]~E(f331(f331(f138(x85041),x85042),x85045),f331(f331(f138(x85041),x85043),x85044))+E(f331(f331(f138(x85041),f331(f331(f142(x85041),f331(f193(f928(x85041)),x85042)),x85043)),x85044),x85045)+P107(f331(f331(f239(a927),f331(f193(f928(x85041)),x85043)),f331(f193(f928(x85041)),x85042)))
% 204.32/204.32 [8706]~E(f331(f331(f138(x87062),x87063),x87061),f331(f331(f138(x87062),x87064),x87065))+E(x87061,f331(f331(f138(x87062),f331(f331(f142(x87062),f331(f193(f928(x87062)),x87063)),x87064)),x87065))+~P107(f331(f331(f239(a927),f331(f193(f928(x87062)),x87063)),f331(f193(f928(x87062)),x87064)))
% 204.32/204.32 [8800]~E(f331(f331(f80(a927),f331(f331(f81(a927),x88003),x88004)),x88001),f331(f331(f80(a927),f331(f331(f81(a927),x88002),x88004)),x88005))+~P107(f331(f331(f239(a927),x88003),x88002))+E(x88001,f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x88002),x88003)),x88004)),x88005))
% 204.32/204.32 [8801]~E(f331(f331(f80(a927),f331(f331(f81(a927),x88011),x88013)),x88014),f331(f331(f80(a927),f331(f331(f81(a927),x88012),x88013)),x88015))+~P107(f331(f331(f239(a927),x88012),x88011))+E(f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x88011),x88012)),x88013)),x88014),x88015)
% 204.32/204.32 [8969]E(f331(f331(f80(a927),f331(f331(f81(a927),x89691),x89692)),x89693),f331(f331(f80(a927),f331(f331(f81(a927),x89694),x89692)),x89695))+~P107(f331(f331(f239(a927),x89694),x89691))+~E(x89695,f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x89691),x89694)),x89692)),x89693))
% 204.32/204.32 [8970]E(f331(f331(f80(a927),f331(f331(f81(a927),x89701),x89702)),x89703),f331(f331(f80(a927),f331(f331(f81(a927),x89704),x89702)),x89705))+~P107(f331(f331(f239(a927),x89704),x89701))+~E(f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x89701),x89704)),x89702)),x89703),x89705)
% 204.32/204.32 [9861]~P64(x98612)+~P107(f331(f61(x98611),x98615))+E(f331(f331(f9(x98611,x98612),f331(f331(f18(x98611,x98612,x98612),f331(f331(f8(x98612,f935(x98612,x98612),x98611),f294(x98612)),x98613)),x98614)),x98615),f331(f331(f294(x98612),f331(f331(f9(x98611,x98612),x98613),x98615)),f331(f331(f9(x98611,x98612),x98614),x98615)))
% 204.32/204.32 [9990]~E(f632(x99905,x99904,x99903,x99902,x99901),f633(x99905,x99904,x99903,x99902,x99901))+P107(f331(f331(f333(f934(x99901,x99901)),f331(f331(f256(x99901,x99901),x99902),x99903)),f311(x99901,x99904)))+~P107(f331(f331(f333(f934(x99901,x99901)),f331(f331(f256(x99901,x99901),x99902),x99903)),f311(x99901,f331(f331(f114(f935(f934(x99901,x99901),a923)),x99904),x99905))))
% 204.32/204.32 [9991]~E(f634(x99915,x99914,x99913,x99912,x99911),f635(x99915,x99914,x99913,x99912,x99911))+P107(f331(f331(f333(f934(x99911,x99911)),f331(f331(f256(x99911,x99911),x99912),x99913)),f311(x99911,x99914)))+~P107(f331(f331(f333(f934(x99911,x99911)),f331(f331(f256(x99911,x99911),x99912),x99913)),f311(x99911,f331(f331(f114(f935(f934(x99911,x99911),a923)),x99914),x99915))))
% 204.32/204.32 [10186]P107(f331(f331(f333(f934(x101861,x101861)),f331(f331(f256(x101861,x101861),x101862),f633(x101865,x101864,x101863,x101862,x101861))),f311(x101861,x101864)))+P107(f331(f331(f333(f934(x101861,x101861)),f331(f331(f256(x101861,x101861),x101862),x101863)),f311(x101861,x101864)))+~P107(f331(f331(f333(f934(x101861,x101861)),f331(f331(f256(x101861,x101861),x101862),x101863)),f311(x101861,f331(f331(f114(f935(f934(x101861,x101861),a923)),x101864),x101865))))
% 204.32/204.32 [10264]P107(f331(f331(f333(f934(x102641,x102641)),f331(f331(f256(x102641,x102641),f635(x102645,x102644,x102643,x102642,x102641)),x102643)),f311(x102641,x102644)))+P107(f331(f331(f333(f934(x102641,x102641)),f331(f331(f256(x102641,x102641),x102642),x102643)),f311(x102641,x102644)))+~P107(f331(f331(f333(f934(x102641,x102641)),f331(f331(f256(x102641,x102641),x102642),x102643)),f311(x102641,f331(f331(f114(f935(f934(x102641,x102641),a923)),x102644),x102645))))
% 204.32/204.32 [10298]P107(f331(f331(f333(f934(x102981,x102981)),f331(f331(f256(x102981,x102981),x102982),x102983)),f311(x102981,x102984)))+P107(f331(f331(f333(f934(x102981,x102981)),f331(f331(f256(x102981,x102981),f633(x102985,x102984,x102983,x102982,x102981)),f632(x102985,x102984,x102983,x102982,x102981))),x102985))+~P107(f331(f331(f333(f934(x102981,x102981)),f331(f331(f256(x102981,x102981),x102982),x102983)),f311(x102981,f331(f331(f114(f935(f934(x102981,x102981),a923)),x102984),x102985))))
% 204.32/204.32 [10299]P107(f331(f331(f333(f934(x102991,x102991)),f331(f331(f256(x102991,x102991),x102992),x102993)),f311(x102991,x102994)))+P107(f331(f331(f333(f934(x102991,x102991)),f331(f331(f256(x102991,x102991),f634(x102995,x102994,x102993,x102992,x102991)),f635(x102995,x102994,x102993,x102992,x102991))),x102995))+~P107(f331(f331(f333(f934(x102991,x102991)),f331(f331(f256(x102991,x102991),x102992),x102993)),f311(x102991,f331(f331(f114(f935(f934(x102991,x102991),a923)),x102994),x102995))))
% 204.32/204.32 [10455]~P107(f331(f331(f333(f934(f928(x104551),f928(x104551))),f331(f331(f256(f928(x104551),f928(x104551)),x104554),x104555)),f162(x104551,x104552)))+~P107(f331(f331(f333(f934(x104551,x104551)),x104553),f331(f176(f934(x104551,x104551)),f331(f331(f185(x104551,x104551),x104554),x104555))))+P107(f331(f331(f261(x104551,x104551,a923),f331(f331(f7(x104551,f935(f934(x104551,x104551),a923),f935(x104551,a923)),f331(f331(f8(f935(x104551,f935(f935(f934(x104551,x104551),a923),a923)),f935(f935(f934(x104551,x104551),a923),f935(x104551,a923)),x104551),f7(x104551,f935(f934(x104551,x104551),a923),a923)),f331(f331(f8(f935(x104551,f934(x104551,x104551)),f935(x104551,f935(f935(f934(x104551,x104551),a923),a923)),x104551),f331(f8(f934(x104551,x104551),f935(f935(f934(x104551,x104551),a923),a923),x104551),f333(f934(x104551,x104551)))),f256(x104551,x104551)))),x104552)),x104553))
% 204.32/204.32 [9890]~P107(f331(f331(f239(a927),x98903),x98902))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(f331(f81(a927),x98903),x98904)),x98901)),f331(f331(f80(a927),f331(f331(f81(a927),x98902),x98904)),x98905)))+P107(f331(f331(f239(a927),x98901),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x98902),x98903)),x98904)),x98905)))
% 204.32/204.32 [9891]~P107(f331(f331(f239(a927),x98913),x98912))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),x98913),x98914)),x98911)),f331(f331(f80(a927),f331(f331(f81(a927),x98912),x98914)),x98915)))+P107(f331(f331(f240(a927),x98911),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x98912),x98913)),x98914)),x98915)))
% 204.32/204.32 [9908]~P107(f331(f331(f239(a927),x99081),x99084))+P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(f331(f81(a927),x99081),x99082)),x99083)),f331(f331(f80(a927),f331(f331(f81(a927),x99084),x99082)),x99085)))+~P107(f331(f331(f239(a927),x99083),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x99084),x99081)),x99082)),x99085)))
% 204.32/204.32 [9909]~P107(f331(f331(f239(a927),x99091),x99094))+P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),x99091),x99092)),x99093)),f331(f331(f80(a927),f331(f331(f81(a927),x99094),x99092)),x99095)))+~P107(f331(f331(f240(a927),x99093),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x99094),x99091)),x99092)),x99095)))
% 204.32/204.32 [10024]~P107(f331(f331(f239(a927),x100242),x100241))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(f331(f81(a927),x100241),x100243)),x100244)),f331(f331(f80(a927),f331(f331(f81(a927),x100242),x100243)),x100245)))+P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x100241),x100242)),x100243)),x100244)),x100245))
% 204.32/204.32 [10025]~P107(f331(f331(f239(a927),x100252),x100251))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),x100251),x100253)),x100254)),f331(f331(f80(a927),f331(f331(f81(a927),x100252),x100253)),x100255)))+P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x100251),x100252)),x100253)),x100254)),x100255))
% 204.32/204.32 [10068]~P107(f331(f331(f239(a927),x100684),x100681))+P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(f331(f81(a927),x100681),x100682)),x100683)),f331(f331(f80(a927),f331(f331(f81(a927),x100684),x100682)),x100685)))+~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x100681),x100684)),x100682)),x100683)),x100685))
% 204.32/204.32 [10069]~P107(f331(f331(f239(a927),x100694),x100691))+P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),x100691),x100692)),x100693)),f331(f331(f80(a927),f331(f331(f81(a927),x100694),x100692)),x100695)))+~P107(f331(f331(f240(a927),f331(f331(f80(a927),f331(f331(f81(a927),f331(f331(f23(a927),x100691),x100694)),x100692)),x100693)),x100695))
% 204.32/204.32 [10286]~P10(x102861,x102862,x102865,x102863)+~P107(f331(f331(f333(f934(x102861,x102861)),x102864),x102865))+P107(f331(f331(f261(x102861,x102861,a923),f331(f331(f7(x102861,f935(x102861,x102862),f935(x102861,a923)),f331(f331(f8(f935(x102862,a923),f935(f935(x102861,x102862),f935(x102861,a923)),x102861),f8(x102862,a923,x102861)),f331(f331(f8(x102862,f935(x102862,a923),x102861),a328),x102863))),x102863)),x102864))
% 204.32/204.32 [8666]~P18(x86666,x86661,x86662,x86664)+E(f331(f73(x86661,x86661,x86661,f331(x86662,x86663)),f331(x86664,x86665)),f331(f73(x86661,x86661,x86661,f331(x86664,x86665)),f331(x86662,x86663)))+~P107(f331(f61(x86666),x86665))
% 204.32/204.32 [9113]~P24(x91131,x91133,x91135,x91136)+~P24(x91133,x91132,x91134,f331(f314(x91131,x91133,x91135),x91136))+P24(x91131,x91132,f331(f73(x91133,x91132,x91131,x91134),x91135),x91136)
% 204.32/204.32 [9686]~P107(f331(f331(x96863,x96862),x96866))+~P107(f331(f331(x96864,x96865),x96862))+P107(f331(f331(f333(x96861),x96862),f304(x96861,x96863,x96864,x96865,x96866)))
% 204.32/204.32 [9687]~P107(f331(f331(x96874,x96872),x96876))+~P107(f331(f331(x96873,x96875),x96872))+P107(f331(f331(f333(x96871),x96872),f301(x96871,x96873,x96874,x96875,x96876)))
% 204.32/204.32 [9808]E(x98081,x98082)+E(x98083,x98084)+~P107(f331(f331(f333(f934(f928(x98085),f928(x98085))),f331(f331(f256(f928(x98085),f928(x98085)),f331(f331(f155(x98085),x98083),x98081)),f331(f331(f155(x98085),x98084),x98082))),f161(x98085,x98086)))
% 204.32/204.32 [9817]~E(x98172,x98174)+P107(f331(f331(f333(f934(f928(x98171),f928(x98171))),f331(f331(f256(f928(x98171),f928(x98171)),f331(f331(f155(x98171),x98172),x98173)),f331(f331(f155(x98171),x98174),x98175))),f149(x98171,x98176)))+~P107(f331(f331(f333(f934(f928(x98171),f928(x98171))),f331(f331(f256(f928(x98171),f928(x98171)),x98173),x98175)),f149(x98171,x98176)))
% 204.32/204.32 [9818]~E(x98182,x98184)+P107(f331(f331(f333(f934(f928(x98181),f928(x98181))),f331(f331(f256(f928(x98181),f928(x98181)),f331(f331(f155(x98181),x98182),x98183)),f331(f331(f155(x98181),x98184),x98185))),f151(x98181,x98186)))+~P107(f331(f331(f333(f934(f928(x98181),f928(x98181))),f331(f331(f256(f928(x98181),f928(x98181)),x98183),x98185)),f151(x98181,x98186)))
% 204.32/204.32 [9819]~E(x98192,x98194)+P107(f331(f331(f333(f934(f928(x98191),f928(x98191))),f331(f331(f256(f928(x98191),f928(x98191)),f331(f331(f155(x98191),x98192),x98193)),f331(f331(f155(x98191),x98194),x98195))),f161(x98191,x98196)))+~P107(f331(f331(f333(f934(f928(x98191),f928(x98191))),f331(f331(f256(f928(x98191),f928(x98191)),x98193),x98195)),f161(x98191,x98196)))
% 204.32/204.32 [9820]~E(x98202,x98204)+P107(f331(f331(f333(f934(f928(x98201),f928(x98201))),f331(f331(f256(f928(x98201),f928(x98201)),f331(f331(f138(x98201),x98202),x98203)),f331(f331(f138(x98201),x98204),x98205))),f161(x98201,x98206)))+~P107(f331(f331(f333(f934(f928(x98201),f928(x98201))),f331(f331(f256(f928(x98201),f928(x98201)),x98203),x98205)),f161(x98201,x98206)))
% 204.32/204.32 [9821]~E(x98213,x98215)+P107(f331(f331(f333(f934(f928(x98211),f928(x98211))),f331(f331(f256(f928(x98211),f928(x98211)),f331(f331(f138(x98211),x98212),x98213)),f331(f331(f138(x98211),x98214),x98215))),f161(x98211,x98216)))+~P107(f331(f331(f333(f934(f928(x98211),f928(x98211))),f331(f331(f256(f928(x98211),f928(x98211)),x98212),x98214)),f161(x98211,x98216)))
% 204.32/204.32 [9878]E(x98781,x98782)+P107(f331(f331(f333(f934(f928(x98783),f928(x98783))),f331(f331(f256(f928(x98783),f928(x98783)),x98781),x98782)),f161(x98783,x98784)))+~P107(f331(f331(f333(f934(f928(x98783),f928(x98783))),f331(f331(f256(f928(x98783),f928(x98783)),f331(f331(f155(x98783),x98785),x98781)),f331(f331(f155(x98783),x98786),x98782))),f161(x98783,x98784)))
% 204.32/204.32 [10028]~E(x100283,x100285)+P107(f331(f331(f333(f934(f928(x100281),f928(x100281))),f331(f331(f256(f928(x100281),f928(x100281)),f331(f331(f138(x100281),x100282),f331(f331(f155(x100281),x100283),f117(x100281)))),f331(f331(f138(x100281),x100284),f331(f331(f155(x100281),x100285),f117(x100281))))),f161(x100281,x100286)))+~P107(f331(f331(f333(f934(f928(x100281),f928(x100281))),f331(f331(f256(f928(x100281),f928(x100281)),x100282),x100284)),f161(x100281,x100286)))
% 204.32/204.32 [10072]E(x100721,x100722)+E(x100723,x100724)+~P107(f331(f331(f333(f934(f928(x100725),f928(x100725))),f331(f331(f256(f928(x100725),f928(x100725)),f331(f331(f138(x100725),x100723),f331(f331(f155(x100725),x100721),f117(x100725)))),f331(f331(f138(x100725),x100724),f331(f331(f155(x100725),x100722),f117(x100725))))),f161(x100725,x100726)))
% 204.32/204.32 [10099]E(x100991,x100992)+~P107(f331(f331(f333(f934(f928(x100993),f928(x100993))),f331(f331(f256(f928(x100993),f928(x100993)),f331(f331(f138(x100993),x100991),f331(f331(f155(x100993),x100995),f117(x100993)))),f331(f331(f138(x100993),x100992),f331(f331(f155(x100993),x100996),f117(x100993))))),f161(x100993,x100994)))+P107(f331(f331(f333(f934(f928(x100993),f928(x100993))),f331(f331(f256(f928(x100993),f928(x100993)),x100991),x100992)),f161(x100993,x100994)))
% 204.32/204.32 [10137]~P107(f331(f331(f333(f934(f935(x101371,a923),f935(x101371,a923))),f331(f331(f256(f935(x101371,a923),f935(x101371,a923)),x101372),x101374)),f322(x101371,x101376)))+~P107(f331(f331(f333(f934(f935(x101371,a923),f935(x101371,a923))),f331(f331(f256(f935(x101371,a923),f935(x101371,a923)),x101373),x101375)),f322(x101371,x101376)))+P107(f331(f331(f333(f934(f935(x101371,a923),f935(x101371,a923))),f331(f331(f256(f935(x101371,a923),f935(x101371,a923)),f331(f331(f114(f935(x101371,a923)),x101372),x101373)),f331(f331(f114(f935(x101371,a923)),x101374),x101375))),f322(x101371,x101376)))
% 204.32/204.32 [5904]~E(f331(f331(f138(x59041),x59046),x59043),x59045)+E(f331(f331(f138(x59041),x59042),x59043),f331(f331(f155(x59041),x59044),x59045))+~E(x59042,f331(f331(f155(x59041),x59044),x59046))
% 204.32/204.32 [5905]~E(f331(f331(f138(x59051),x59056),x59053),x59055)+E(f331(f331(f138(x59051),x59052),x59053),f331(f331(f138(x59051),x59054),x59055))+~E(x59052,f331(f331(f138(x59051),x59054),x59056))
% 204.32/204.32 [5907]E(f331(f331(f138(x59071),x59072),x59073),f331(f331(f155(x59071),x59074),x59075))+~E(f331(f331(f155(x59071),x59074),x59076),x59072)+~E(x59075,f331(f331(f138(x59071),x59076),x59073))
% 204.32/204.32 [5909]~E(f331(f331(f138(x59091),x59092),x59096),x59094)+E(f331(f331(f138(x59091),x59092),x59093),f331(f331(f138(x59091),x59094),x59095))+~E(x59093,f331(f331(f138(x59091),x59096),x59095))
% 204.32/204.32 [7049]E(f331(x70491,x70492),f331(x70493,x70492))+~E(f331(f331(f158(x70494,x70495),x70491),x70496),f331(f331(f158(x70494,x70495),x70493),x70496))+~P107(f331(f331(f333(x70494),x70492),f331(f176(x70494),x70496)))
% 204.32/204.32 [7434]~P18(x74344,x74345,x74346,x74341)+E(f331(f331(x74341,x74342),x74343),f331(f331(f64(x74344,x74345,x74346),x74343),x74342))+~P107(f331(f61(x74344),x74342))
% 204.32/204.32 [7505]~E(x75052,f331(x75054,x75056))+~P107(f331(f331(f333(x75053),x75056),x75055))+P107(f331(f331(f333(x75051),x75052),f331(f314(x75053,x75051,x75054),x75055)))
% 204.32/204.32 [7506]~E(f331(x75064,x75062),x75066)+~P107(f331(f331(f333(x75063),x75066),x75065))+P107(f331(f331(f333(x75061),x75062),f331(f315(x75061,x75063,x75064),x75065)))
% 204.32/204.32 [7951]~P33(x79511,x79512,x79514,x79516)+P33(x79511,x79512,f331(f331(f155(x79511),x79513),x79514),f331(f331(f155(x79511),x79515),x79516))+~P107(f331(f331(x79512,x79513),x79515))
% 204.32/204.32 [8979]~P57(x89794,x89795,x89791,x89792,x89796)+E(f331(x89791,f331(x89792,x89793)),x89793)+~P107(f331(f331(f333(x89795),x89793),x89796))
% 204.32/204.32 [9483]~P25(x94832,x94831,x94835,x94834,x94833)+E(f331(f92(x94831,x94832,x94833,f92(x94832,x94831,x94834,x94835)),x94836),f331(x94835,x94836))+~P107(f331(f331(f333(x94832),x94836),x94834))
% 204.32/204.32 [9494]~P24(x94941,x94942,x94943,x94946)+P24(x94941,x94942,f75(x94941,x94942,x94943,x94944,x94945),x94946)+P107(f331(f331(f333(x94942),x94945),f331(f314(x94941,x94942,x94943),x94946)))
% 204.32/204.32 [9810]E(x98101,x98102)+E(f331(f193(f928(x98103)),x98104),f331(f193(f928(x98103)),x98105))+~P107(f331(f331(f333(f934(f928(x98103),f928(x98103))),f331(f331(f256(f928(x98103),f928(x98103)),f331(f331(f155(x98103),x98101),x98104)),f331(f331(f155(x98103),x98102),x98105))),f149(x98103,x98106)))
% 204.32/204.32 [9873]~P15(x98731,x98732,x98733)+E(f331(f331(f64(x98731,x98732,x98733),x98734),x98735),x98736)+~P107(f331(f66(x98731,x98732,x98733,x98734,x98735),x98736))
% 204.32/204.32 [9881]E(f331(f193(f928(x98811)),x98812),f331(f193(f928(x98811)),x98813))+P107(f331(f331(f333(f934(f928(x98811),f928(x98811))),f331(f331(f256(f928(x98811),f928(x98811)),x98812),x98813)),f149(x98811,x98814)))+~P107(f331(f331(f333(f934(f928(x98811),f928(x98811))),f331(f331(f256(f928(x98811),f928(x98811)),f331(f331(f155(x98811),x98815),x98812)),f331(f331(f155(x98811),x98816),x98813))),f149(x98811,x98814)))
% 204.32/204.32 [9902]~P107(f331(f331(f333(f934(x99021,x99021)),f331(f331(f256(x99021,x99021),x99022),x99024)),f311(x99021,x99026)))+P107(f331(f331(f333(f934(f928(x99021),f928(x99021))),f331(f331(f256(f928(x99021),f928(x99021)),f331(f331(f155(x99021),x99022),x99023)),f331(f331(f155(x99021),x99024),x99025))),f311(f928(x99021),f161(x99021,x99026))))+~P107(f331(f331(f333(f934(f928(x99021),f928(x99021))),f331(f331(f256(f928(x99021),f928(x99021)),x99023),x99025)),f311(f928(x99021),f161(x99021,x99026))))
% 204.32/204.32 [10078]~P107(f331(x100782,x100786))+~E(f331(f140(x100781,x100782),x100783),f331(f331(f155(x100781),x100784),x100785))+~P107(f331(f331(f333(x100781),x100786),f331(f176(x100781),f751(x100785,x100784,x100783,x100782,x100781))))
% 204.32/204.32 [10079]~P107(f331(x100794,x100796))+~E(f331(f331(f155(x100791),x100792),x100793),f331(f140(x100791,x100794),x100795))+~P107(f331(f331(f333(x100791),x100796),f331(f176(x100791),f754(x100795,x100794,x100793,x100792,x100791))))
% 204.32/204.32 [10390]~P72(x103902)+E(f331(f331(f6(x103901,x103902),f331(f331(f8(f935(x103903,a923),x103902,x103901),f331(f6(x103903,x103902),x103904)),f331(f331(f8(f935(x103903,a923),f935(x103903,a923),x103901),f266(x103903)),f331(f331(f8(f935(x103903,a923),f935(x103903,a923),x103901),f331(f18(x103903,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103903),a329),f331(f331(f7(x103903,f935(x103903,a923),a923),f333(x103903)),x103905)))),f331(f7(x103903,x103901,a923),f331(f331(f8(x103901,f935(x103901,a923),x103903),a328),x103906)))))),f331(f314(x103903,x103901,x103906),x103905)),f331(f331(f6(x103903,x103902),x103904),x103905))+~P107(f331(f61(x103903),x103905))
% 204.32/204.32 [7105]~P109(x71053)+P107(f331(x71052,x71055))+E(f331(f140(x71051,x71052),f331(f331(f152(x71051,x71053,x71054),x71055),x71056)),f331(f140(x71051,x71052),x71056))
% 204.32/204.32 [7107]P107(f331(x71071,x71072))+~E(f170(x71073,x71071,x71074),f331(f331(f256(f928(x71073),f928(x71073)),x71075),x71076))+~P107(f331(f331(f333(x71073),x71072),f331(f176(x71073),x71075)))
% 204.32/204.32 [7150]~P107(f331(x71502,x71506))+~E(f170(x71501,x71502,x71503),f331(f331(f256(f928(x71501),f928(x71501)),x71504),x71505))+~P107(f331(f331(f333(x71501),x71506),f331(f176(x71501),x71505)))
% 204.32/204.32 [7815]~P13(x78151,x78152,x78153)+~P107(f331(f61(x78151),x78156))+E(f331(f331(f64(x78151,x78152,x78153),x78154),f331(f331(f313(x78151),x78155),x78156)),f331(f331(f64(x78151,x78152,x78153),f331(f331(x78153,x78155),x78154)),x78156))
% 204.32/204.32 [7866]~P109(x78662)+~P107(f331(f331(f239(x78662),f331(x78663,x78664)),f331(x78663,x78665)))+E(f331(f331(f152(x78661,x78662,x78663),x78664),f331(f331(f155(x78661),x78665),x78666)),f331(f331(f155(x78661),x78664),f331(f331(f155(x78661),x78665),x78666)))
% 204.32/204.32 [7980]E(x79801,x79802)+~E(f331(f331(f258(x79803,x79804),x79801),f331(f16(f935(x79804,a923),x79803),x79805)),f331(f331(f258(x79803,x79804),x79802),f331(f16(f935(x79804,a923),x79803),x79805)))+~P107(f331(f331(f333(x79804),x79806),x79805))
% 204.32/204.32 [8048]~P13(x80481,x80482,x80483)+~P107(f331(f61(x80481),x80486))+E(f331(f331(f64(x80481,x80482,x80483),x80484),f331(f331(f313(x80481),x80485),x80486)),f331(f331(x80483,x80485),f331(f331(f64(x80481,x80482,x80483),x80484),x80486)))
% 204.32/204.32 [8165]~P15(x81651,x81652,x81653)+~P107(f331(f61(x81651),x81656))+E(f331(f331(f64(x81651,x81652,x81653),f331(f331(x81653,x81654),x81655)),x81656),f331(f331(x81653,x81654),f331(f331(f64(x81651,x81652,x81653),x81655),x81656)))
% 204.32/204.32 [8233]~P19(x82332,x82335,x82336,x82331)+~P107(f331(f61(x82332),x82334))+E(f331(x82331,f331(f331(f313(x82332),x82333),x82334)),f331(f73(x82335,x82335,x82335,f331(x82331,x82334)),f331(x82336,x82333)))
% 204.32/204.32 [8271]~P109(x82712)+P107(f331(f331(f239(x82712),f331(x82713,x82714)),f331(x82713,x82715)))+E(f331(f331(f152(x82711,x82712,x82713),x82714),f331(f331(f155(x82711),x82715),x82716)),f331(f331(f155(x82711),x82715),f331(f331(f152(x82711,x82712,x82713),x82714),x82716)))
% 204.32/204.32 [8411]~E(f331(f193(f928(x84111)),x84115),f331(f193(f928(x84112)),x84116))+~E(f331(f193(f928(x84111)),x84113),f331(f193(f928(x84112)),x84114))+E(f331(f331(f138(f934(x84111,x84112)),f331(f331(f185(x84111,x84112),x84113),x84114)),f331(f331(f185(x84111,x84112),x84115),x84116)),f331(f331(f185(x84111,x84112),f331(f331(f138(x84111),x84113),x84115)),f331(f331(f138(x84112),x84114),x84116)))
% 204.32/204.32 [8522]~E(x85222,f331(f314(x85223,x85221,x85224),x85226))+P107(f331(f331(f239(f935(x85221,a923)),x85222),f331(f314(x85223,x85221,x85224),x85225)))+~P107(f331(f331(f239(f935(x85223,a923)),x85226),x85225))
% 204.32/204.32 [8624]~P109(x86245)+E(f331(x86241,x86242),f331(x86241,x86243))+E(f331(f331(f152(x86244,x86245,x86241),x86242),f331(f331(f152(x86244,x86245,x86241),x86243),x86246)),f331(f331(f152(x86244,x86245,x86241),x86243),f331(f331(f152(x86244,x86245,x86241),x86242),x86246)))
% 204.32/204.32 [8809]~P107(f331(f331(f333(x88092),x88094),f331(x88096,x88093)))+~P107(f331(f331(f333(x88091),x88093),x88095))+P107(f331(f331(f333(f934(x88091,x88092)),f331(f331(f256(x88091,x88092),x88093),x88094)),f331(f331(f258(x88091,x88092),x88095),x88096)))
% 204.32/204.32 [9288]~P72(x92882)+~P24(x92884,x92881,x92885,x92886)+E(f331(f331(f6(x92881,x92882),x92883),f331(f314(x92884,x92881,x92885),x92886)),f331(f331(f6(x92884,x92882),f331(f73(x92881,x92882,x92884,x92883),x92885)),x92886))
% 204.32/204.32 [9289]~P71(x92892)+~P24(x92894,x92891,x92895,x92896)+E(f331(f331(f9(x92891,x92892),x92893),f331(f314(x92894,x92891,x92895),x92896)),f331(f331(f9(x92894,x92892),f331(f73(x92891,x92892,x92894,x92893),x92895)),x92896))
% 204.32/204.32 [9336]~P35(x93362,x93365,x93361,x93363,x93366)+P107(f331(f331(x93361,f331(f331(f168(x93362),x93363),x93364)),f331(f331(f168(x93365),x93366),x93364)))+~P107(f331(f331(f240(a927),x93364),f331(f193(f928(x93365)),x93366)))
% 204.32/204.32 [9337]~P35(x93372,x93375,x93371,x93373,x93376)+P107(f331(f331(x93371,f331(f331(f168(x93372),x93373),x93374)),f331(f331(f168(x93375),x93376),x93374)))+~P107(f331(f331(f240(a927),x93374),f331(f193(f928(x93372)),x93373)))
% 204.32/204.32 [9348]~E(f331(f314(x93481,x93482,x93483),x93484),x93486)+E(f331(f314(x93481,x93482,x93483),f331(f314(x93482,x93481,f92(x93481,x93482,x93484,x93483)),x93485)),x93485)+~P107(f331(f331(f239(f935(x93482,a923)),x93485),x93486))
% 204.32/204.32 [9554]~P18(x95543,x95541,x95546,x95542)+~P107(f331(f61(x95543),x95544))+E(f331(f73(x95541,x95541,x95541,f331(x95542,f331(f331(f23(f935(x95543,a923)),x95544),f331(f331(f313(x95543),x95545),f192(f935(x95543,a923)))))),f331(x95546,x95545)),f331(x95542,f331(f331(f313(x95543),x95545),x95544)))
% 204.32/204.32 [10166]~E(f331(f314(x101662,x101664,x101666),f246(f935(x101662,a923))),f246(f935(x101664,a923)))+~E(f331(f314(x101661,x101663,x101665),f246(f935(x101661,a923))),f246(f935(x101663,a923)))+E(f331(f314(f934(x101661,x101662),f934(x101663,x101664),f262(x101661,x101663,x101662,x101664,x101665,x101666)),f246(f935(f934(x101661,x101662),a923))),f246(f935(f934(x101663,x101664),a923)))
% 204.32/204.32 [10214]~P24(x102143,x102144,x102145,f331(x102146,f579(x102146,x102145,x102144,x102143,x102142,x102141)))+P24(x102143,x102144,x102145,f331(f331(f40(x102142,f935(x102143,a923)),x102141),x102146))+E(x102141,f192(f935(x102142,a923)))
% 204.32/204.32 [10271]P24(x102716,x102715,x102714,f331(f331(f40(x102712,f935(x102716,a923)),x102711),x102713))+E(x102711,f192(f935(x102712,a923)))+P107(f331(f331(f333(x102712),f579(x102713,x102714,x102715,x102716,x102712,x102711)),x102711))
% 204.32/204.32 [10276]P107(f331(f331(f333(x102761),f605(x102762,x102763,x102764,x102765,x102766,x102761)),x102766))+P107(f331(f331(f239(f935(f934(x102761,x102764),a923)),f331(f331(f258(x102761,x102764),x102766),x102763)),f331(f331(f258(x102761,x102764),x102765),x102762)))+~P107(f331(f331(f239(f935(x102761,a923)),x102766),x102765))
% 204.32/204.32 [10312]P23(x103126,x103125,f331(f331(f313(f926(x103126)),f331(f331(f331(f91(x103126),x103124),x103123),x103122)),f192(f935(f926(x103126),a923))))+~P23(x103126,x103125,f331(f331(f313(f926(x103126)),f331(f331(f331(f91(x103126),x103124),x103123),x103121)),f192(f935(f926(x103126),a923))))+P107(f331(f331(x103121,f562(x103122,x103121,x103123,x103124,x103125,x103126)),f671(x103122,x103121,x103123,x103124,x103125,x103126)))
% 204.32/204.32 [10313]P23(x103136,x103135,f331(f331(f313(f926(x103136)),f331(f331(f331(f91(x103136),x103131),x103133),x103132)),f192(f935(f926(x103136),a923))))+~P23(x103136,x103135,f331(f331(f313(f926(x103136)),f331(f331(f331(f91(x103136),x103134),x103133),x103132)),f192(f935(f926(x103136),a923))))+P107(f331(f331(x103131,f784(x103131,x103132,x103133,x103134,x103135,x103136)),f881(x103131,x103132,x103133,x103134,x103135,x103136)))
% 204.32/204.32 [10356]~P23(x103561,x103562,f331(f331(f313(f926(x103561)),f331(f331(f331(f91(x103561),x103563),x103564),x103566)),f192(f935(f926(x103561),a923))))+P23(x103561,x103562,f331(f331(f313(f926(x103561)),f331(f331(f331(f91(x103561),x103563),x103564),x103565)),f192(f935(f926(x103561),a923))))+~P107(f331(f331(x103565,f562(x103565,x103566,x103564,x103563,x103562,x103561)),f671(x103565,x103566,x103564,x103563,x103562,x103561)))
% 204.32/204.32 [10357]~P23(x103571,x103572,f331(f331(f313(f926(x103571)),f331(f331(f331(f91(x103571),x103576),x103574),x103575)),f192(f935(f926(x103571),a923))))+P23(x103571,x103572,f331(f331(f313(f926(x103571)),f331(f331(f331(f91(x103571),x103573),x103574),x103575)),f192(f935(f926(x103571),a923))))+~P107(f331(f331(x103576,f784(x103573,x103575,x103574,x103576,x103572,x103571)),f881(x103573,x103575,x103574,x103576,x103572,x103571)))
% 204.32/204.32 [10408]~P107(f331(f331(f239(f935(x104082,a923)),f331(x104084,f605(x104086,x104084,x104082,x104085,x104083,x104081))),f331(x104086,f605(x104086,x104084,x104082,x104085,x104083,x104081))))+~P107(f331(f331(f239(f935(x104081,a923)),x104083),x104085))+P107(f331(f331(f239(f935(f934(x104081,x104082),a923)),f331(f331(f258(x104081,x104082),x104083),x104084)),f331(f331(f258(x104081,x104082),x104085),x104086)))
% 204.32/204.32 [8002]~P107(f331(x80021,x80025))+~P107(f331(x80026,x80024))+P107(f331(x80021,f331(f260(x80022,x80023),f331(f331(f256(x80022,x80023),x80024),x80025))))
% 204.32/204.32 [8003]~P107(f331(x80031,x80034))+~P107(f331(x80036,x80035))+P107(f331(x80031,f331(f255(x80032,x80033),f331(f331(f256(x80032,x80033),x80034),x80035))))
% 204.32/204.32 [8053]~P107(f331(f331(x80534,x80536),x80535))+~P107(f331(f331(f333(x80531),x80536),x80533))+P107(f331(f331(f331(f39(x80531,f935(x80532,a923)),x80533),x80534),x80535))
% 204.32/204.32 [8360]~P107(f331(f331(f333(x83601),x83602),f331(x83605,x83606)))+~P107(f331(f331(f333(x83603),x83606),x83604))+P107(f331(f331(f333(x83601),x83602),f331(f331(f39(x83603,f935(x83601,a923)),x83604),x83605)))
% 204.32/204.32 [8404]P107(f331(f331(x84041,x84042),x84043))+~P107(f331(f331(x84044,x84042),x84043))+~P107(f331(f331(f239(f935(x84045,f935(x84046,a923))),x84044),x84041))
% 204.32/204.32 [8545]P107(f331(f331(x85451,x85452),x85453))+~P107(f331(f331(f333(x85454),x85452),x85455))+~P107(f331(f331(f331(f40(x85454,f935(x85456,a923)),x85455),x85451),x85453))
% 204.32/204.32 [8682]P107(f331(f331(f333(x86821),x86822),f331(x86823,x86824)))+~P107(f331(f331(f333(x86825),x86824),x86826))+~P107(f331(f331(f333(x86821),x86822),f331(f331(f40(x86825,f935(x86821,a923)),x86826),x86823)))
% 204.32/204.32 [8958]~P10(x89584,x89585,x89586,x89581)+E(f331(x89581,x89582),f331(x89581,x89583))+~P107(f331(f331(f333(f934(x89584,x89584)),f331(f331(f256(x89584,x89584),x89582),x89583)),x89586))
% 204.32/204.32 [8993]P107(f331(f331(f239(f935(x89931,a923)),x89932),f331(x89933,x89934)))+~P107(f331(f331(f333(x89935),x89934),x89936))+~P107(f331(f331(f239(f935(x89931,a923)),x89932),f331(f331(f40(x89935,f935(x89931,a923)),x89936),x89933)))
% 204.32/204.32 [9026]~P55(x90263,x90264,f331(f290(x90264,x90263),x90265))+E(x90261,f192(f935(x90262,a923)))+E(f331(f331(f40(x90262,f935(x90263,a923)),x90261),f331(f331(f8(f935(x90264,a923),f935(x90263,a923),x90262),f289(x90264,x90263,x90265)),x90266)),f331(f289(x90264,x90263,x90265),f331(f331(f40(x90262,f935(x90264,a923)),x90261),x90266)))
% 204.32/204.32 [9104]P107(f331(f331(f333(x91041),x91042),f331(f289(x91043,x91041,x91044),x91045)))+~P107(f331(f331(f333(x91043),x91046),x91045))+~P107(f331(f331(f333(f934(x91043,x91041)),f331(f331(f256(x91043,x91041),x91046),x91042)),x91044))
% 204.32/204.32 [9415]P107(f331(f331(f239(f935(x94151,a923)),f331(f289(x94152,x94151,x94153),x94154)),f331(f289(x94152,x94151,x94155),x94156)))+~P107(f331(f331(f239(f935(x94152,a923)),x94154),x94156))+~P107(f331(f331(f239(f935(f934(x94152,x94151),a923)),x94153),x94155))
% 204.32/204.32 [9605]~P107(f331(f331(f333(x96052),x96056),x96054))+~P107(f331(f331(f239(f935(x96051,a923)),x96053),x96055))+P107(f331(f331(f239(f935(f934(x96051,x96052),a923)),f331(f331(f258(x96051,x96052),x96053),f331(f16(f935(x96052,a923),x96051),x96054))),f331(f331(f258(x96051,x96052),x96055),f331(f16(f935(x96052,a923),x96051),x96054))))
% 204.32/204.32 [9617]~P35(x96171,x96172,x96173,x96175,x96176)+P107(f331(f331(f261(x96171,x96172,a923),x96173),x96174))+~P107(f331(f331(f333(f934(x96171,x96172)),x96174),f331(f176(f934(x96171,x96172)),f331(f331(f185(x96171,x96172),x96175),x96176))))
% 204.32/204.32 [9764]~E(x97643,x97645)+P107(f331(f331(f333(f934(f928(x97641),f928(x97641))),f331(f331(f256(f928(x97641),f928(x97641)),f331(f331(f155(x97641),x97642),x97643)),f331(f331(f155(x97641),x97644),x97645))),f161(x97641,x97646)))+~P107(f331(f331(f333(f934(x97641,x97641)),f331(f331(f256(x97641,x97641),x97642),x97644)),x97646))
% 204.32/204.32 [9770]~E(f331(f193(f928(x97701)),x97703),f331(f193(f928(x97701)),x97705))+P107(f331(f331(f333(f934(f928(x97701),f928(x97701))),f331(f331(f256(f928(x97701),f928(x97701)),f331(f331(f155(x97701),x97702),x97703)),f331(f331(f155(x97701),x97704),x97705))),f149(x97701,x97706)))+~P107(f331(f331(f333(f934(x97701,x97701)),f331(f331(f256(x97701,x97701),x97702),x97704)),x97706))
% 204.32/204.32 [9802]P107(f331(f331(f333(f934(x98021,x98021)),f331(f331(f256(x98021,x98021),x98022),x98023)),f331(f331(f187(f934(x98021,x98021),a923),f331(a116,x98024)),x98025)))+~P107(f331(f331(f333(f934(x98021,x98021)),f331(f331(f256(x98021,x98021),x98026),x98023)),x98025))+~P107(f331(f331(f333(f934(x98021,x98021)),f331(f331(f256(x98021,x98021),x98022),x98026)),f331(f331(f187(f934(x98021,x98021),a923),x98024),x98025)))
% 204.32/204.32 [9803]P107(f331(f331(f333(f934(x98031,x98031)),f331(f331(f256(x98031,x98031),x98032),x98033)),f331(f331(f187(f934(x98031,x98031),a923),f331(a116,x98034)),x98035)))+~P107(f331(f331(f333(f934(x98031,x98031)),f331(f331(f256(x98031,x98031),x98032),x98036)),x98035))+~P107(f331(f331(f333(f934(x98031,x98031)),f331(f331(f256(x98031,x98031),x98036),x98033)),f331(f331(f187(f934(x98031,x98031),a923),x98034),x98035)))
% 204.32/204.32 [9806]~P107(f331(f331(f333(x98064),x98065),x98066))+P107(f331(f331(f239(f935(x98061,a923)),x98062),x98063))+~P107(f331(f331(f239(f935(f934(x98061,x98064),a923)),f331(f331(f258(x98061,x98064),x98062),f331(f16(f935(x98064,a923),x98061),x98066))),f331(f331(f258(x98061,x98064),x98063),f331(f16(f935(x98064,a923),x98061),x98066))))
% 204.32/204.32 [9851]E(x98511,x98512)+~P107(f331(f331(f333(f934(f928(x98513),f928(x98513))),f331(f331(f256(f928(x98513),f928(x98513)),f331(f331(f155(x98513),x98511),x98515)),f331(f331(f155(x98513),x98512),x98516))),f149(x98513,x98514)))+P107(f331(f331(f333(f934(x98513,x98513)),f331(f331(f256(x98513,x98513),x98511),x98512)),x98514))
% 204.32/204.32 [9852]E(x98521,x98522)+~P107(f331(f331(f333(f934(f928(x98523),f928(x98523))),f331(f331(f256(f928(x98523),f928(x98523)),f331(f331(f155(x98523),x98521),x98525)),f331(f331(f155(x98523),x98522),x98526))),f151(x98523,x98524)))+P107(f331(f331(f333(f934(x98523,x98523)),f331(f331(f256(x98523,x98523),x98521),x98522)),x98524))
% 204.32/204.32 [9853]E(x98531,x98532)+~P107(f331(f331(f333(f934(f928(x98533),f928(x98533))),f331(f331(f256(f928(x98533),f928(x98533)),f331(f331(f155(x98533),x98531),x98535)),f331(f331(f155(x98533),x98532),x98536))),f161(x98533,x98534)))+P107(f331(f331(f333(f934(x98533,x98533)),f331(f331(f256(x98533,x98533),x98531),x98532)),x98534))
% 204.32/204.32 [9889]P107(f331(f331(f333(f934(f928(x98891),f928(x98891))),f331(f331(f256(f928(x98891),f928(x98891)),f331(f331(f155(x98891),x98892),x98893)),f331(f331(f155(x98891),x98894),x98895))),f162(x98891,x98896)))+~P107(f331(f331(f333(f934(f928(x98891),f928(x98891))),f331(f331(f256(f928(x98891),f928(x98891)),x98893),x98895)),f162(x98891,x98896)))+~P107(f331(f331(f333(f934(x98891,x98891)),f331(f331(f256(x98891,x98891),x98892),x98894)),x98896))
% 204.32/204.32 [9906]P107(f331(x99061,x99062))+~P107(f331(x99061,f803(x99061,x99063,x99064,x99065,x99066)))+~P107(f331(f331(f333(x99066),x99062),f331(f331(f39(x99065,f935(x99066,a923)),x99064),x99063)))
% 204.32/204.32 [9911]~P107(f331(f331(f333(f934(f928(x99111),f928(x99111))),f331(f331(f256(f928(x99111),f928(x99111)),f331(f331(f155(x99111),x99112),x99115)),f331(f331(f155(x99111),x99113),x99116))),f149(x99111,x99114)))+P107(f331(f331(f333(f934(f928(x99111),f928(x99111))),f331(f331(f256(f928(x99111),f928(x99111)),x99115),x99116)),f149(x99111,x99114)))+P107(f331(f331(f333(f934(x99111,x99111)),f331(f331(f256(x99111,x99111),x99112),x99113)),x99114))
% 204.32/204.32 [9912]~P107(f331(f331(f333(f934(f928(x99121),f928(x99121))),f331(f331(f256(f928(x99121),f928(x99121)),f331(f331(f155(x99121),x99122),x99125)),f331(f331(f155(x99121),x99123),x99126))),f151(x99121,x99124)))+P107(f331(f331(f333(f934(f928(x99121),f928(x99121))),f331(f331(f256(f928(x99121),f928(x99121)),x99125),x99126)),f151(x99121,x99124)))+P107(f331(f331(f333(f934(x99121,x99121)),f331(f331(f256(x99121,x99121),x99122),x99123)),x99124))
% 204.32/204.32 [9913]~P107(f331(f331(f333(f934(f928(x99131),f928(x99131))),f331(f331(f256(f928(x99131),f928(x99131)),f331(f331(f155(x99131),x99132),x99135)),f331(f331(f155(x99131),x99133),x99136))),f161(x99131,x99134)))+P107(f331(f331(f333(f934(f928(x99131),f928(x99131))),f331(f331(f256(f928(x99131),f928(x99131)),x99135),x99136)),f161(x99131,x99134)))+P107(f331(f331(f333(f934(x99131,x99131)),f331(f331(f256(x99131,x99131),x99132),x99133)),x99134))
% 204.32/204.32 [10001]P107(f331(x100011,x100012))+P107(f331(f331(f333(x100013),f794(x100011,x100014,x100015,x100013,x100016)),x100015))+~P107(f331(f331(f333(x100016),x100012),f331(f331(f39(x100013,f935(x100016,a923)),x100015),x100014)))
% 204.32/204.32 [10012]~E(x100122,x100124)+P107(f331(f331(f333(f934(f928(x100121),f928(x100121))),f331(f331(f256(f928(x100121),f928(x100121)),f331(f331(f138(x100121),x100122),f331(f331(f155(x100121),x100123),f117(x100121)))),f331(f331(f138(x100121),x100124),f331(f331(f155(x100121),x100125),f117(x100121))))),f161(x100121,x100126)))+~P107(f331(f331(f333(f934(x100121,x100121)),f331(f331(f256(x100121,x100121),x100123),x100125)),x100126))
% 204.32/204.32 [10087]E(x100871,x100872)+~P107(f331(f331(f333(f934(f928(x100873),f928(x100873))),f331(f331(f256(f928(x100873),f928(x100873)),f331(f331(f138(x100873),x100875),f331(f331(f155(x100873),x100871),f117(x100873)))),f331(f331(f138(x100873),x100876),f331(f331(f155(x100873),x100872),f117(x100873))))),f161(x100873,x100874)))+P107(f331(f331(f333(f934(x100873,x100873)),f331(f331(f256(x100873,x100873),x100871),x100872)),x100874))
% 204.32/204.32 [10118]~P107(f331(f331(f333(f934(f928(x101181),f928(x101181))),f331(f331(f256(f928(x101181),f928(x101181)),f331(f331(f138(x101181),x101185),f331(f331(f155(x101181),x101182),f117(x101181)))),f331(f331(f138(x101181),x101186),f331(f331(f155(x101181),x101183),f117(x101181))))),f161(x101181,x101184)))+P107(f331(f331(f333(f934(f928(x101181),f928(x101181))),f331(f331(f256(f928(x101181),f928(x101181)),x101185),x101186)),f161(x101181,x101184)))+P107(f331(f331(f333(f934(x101181,x101181)),f331(f331(f256(x101181,x101181),x101182),x101183)),x101184))
% 204.32/204.32 [10138]P107(f331(x101381,x101382))+P107(f331(f331(f333(x101383),f803(x101381,x101384,x101385,x101386,x101383)),f331(x101384,f794(x101381,x101384,x101385,x101386,x101383))))+~P107(f331(f331(f333(x101383),x101382),f331(f331(f39(x101386,f935(x101383,a923)),x101385),x101384)))
% 204.32/204.32 [10280]P107(f331(f331(f333(x102801),f850(x102802,x102803,x102804,x102805,x102806,x102801)),x102805))+~P107(f331(f331(f239(f935(x102801,a923)),x102806),x102805))+P107(f331(f331(f239(f935(x102804,a923)),f331(f331(f40(x102801,f935(x102804,a923)),x102805),x102803)),f331(f331(f40(x102801,f935(x102804,a923)),x102805),x102802)))
% 204.32/204.32 [10409]~P107(f331(f331(f239(f935(x104091,a923)),f331(x104094,f850(x104095,x104094,x104091,x104093,x104096,x104092))),f331(x104095,f850(x104095,x104094,x104091,x104093,x104096,x104092))))+~P107(f331(f331(f239(f935(x104092,a923)),x104096),x104093))+P107(f331(f331(f239(f935(x104091,a923)),f331(f331(f40(x104092,f935(x104091,a923)),x104093),x104094)),f331(f331(f40(x104092,f935(x104091,a923)),x104093),x104095)))
% 204.32/204.32 [9124]~P15(x91243,x91244,x91241)+~P107(f331(f61(x91243),x91246))+E(f331(f331(x91241,x91242),f331(f331(f64(x91243,x91244,x91241),x91245),f331(f331(f23(f935(x91243,a923)),x91246),f331(f331(f313(x91243),x91242),f192(f935(x91243,a923)))))),f331(f331(f64(x91243,x91244,x91241),x91245),f331(f331(f313(x91243),x91242),x91246)))
% 204.32/204.32 [9424]~P107(f331(f331(f333(x94245),x94243),x94246))+P107(f331(f331(f239(f935(x94241,a923)),f331(x94242,x94243)),x94244))+~P107(f331(f331(f239(f935(x94241,a923)),f331(f331(f39(x94245,f935(x94241,a923)),x94246),x94242)),x94244))
% 204.32/204.32 [10061]~P7(x100611,x100615,x100614)+P107(f331(f331(f333(f934(x100611,x100611)),f331(f331(f256(x100611,x100611),x100612),x100613)),x100614))+~P107(f331(f331(f333(x100611),x100616),f331(f331(f105(f935(x100611,a923)),f331(f289(x100611,x100611,x100614),f331(f331(f313(x100611),x100612),f192(f935(x100611,a923))))),f331(f289(x100611,x100611,x100614),f331(f331(f313(x100611),x100613),f192(f935(x100611,a923)))))))
% 204.32/204.32 [8846]~P112(x88462)+~E(f331(f331(f80(x88462),f331(f331(f81(x88462),x88464),x88465)),x88461),f331(f331(f80(x88462),f331(f331(f81(x88462),x88463),x88465)),x88466))+E(x88461,f331(f331(f80(x88462),f331(f331(f81(x88462),f331(f331(f23(x88462),x88463),x88464)),x88465)),x88466))
% 204.32/204.32 [8847]~P112(x88471)+~E(f331(f331(f80(x88471),f331(f331(f81(x88471),x88472),x88474)),x88475),f331(f331(f80(x88471),f331(f331(f81(x88471),x88473),x88474)),x88476))+E(f331(f331(f80(x88471),f331(f331(f81(x88471),f331(f331(f23(x88471),x88472),x88473)),x88474)),x88475),x88476)
% 204.32/204.32 [9029]~P112(x90291)+E(f331(f331(f80(x90291),f331(f331(f81(x90291),x90292),x90293)),x90294),f331(f331(f80(x90291),f331(f331(f81(x90291),x90295),x90293)),x90296))+~E(x90296,f331(f331(f80(x90291),f331(f331(f81(x90291),f331(f331(f23(x90291),x90292),x90295)),x90293)),x90294))
% 204.32/204.32 [9030]~P112(x90301)+E(f331(f331(f80(x90301),f331(f331(f81(x90301),x90302),x90303)),x90304),f331(f331(f80(x90301),f331(f331(f81(x90301),x90305),x90303)),x90306))+~E(f331(f331(f80(x90301),f331(f331(f81(x90301),f331(f331(f23(x90301),x90302),x90305)),x90303)),x90304),x90306)
% 204.32/204.32 [9359]~P107(f331(f331(x93594,x93595),x93596))+~P107(f331(f331(x93593,x93595),x93596))+P107(f331(f331(f331(f331(f105(f935(x93591,f935(x93592,a923))),x93593),x93594),x93595),x93596))
% 204.32/204.32 [9626]P107(f331(f331(x96261,x96262),x96263))+P107(f331(f331(x96264,x96262),x96263))+~P107(f331(f331(f331(f331(f114(f935(x96265,f935(x96266,a923))),x96264),x96261),x96262),x96263))
% 204.32/204.32 [9926]~P113(x99261)+~P107(f331(f331(f239(x99261),f331(f331(f80(x99261),f331(f331(f81(x99261),x99264),x99265)),x99262)),f331(f331(f80(x99261),f331(f331(f81(x99261),x99263),x99265)),x99266)))+P107(f331(f331(f239(x99261),x99262),f331(f331(f80(x99261),f331(f331(f81(x99261),f331(f331(f23(x99261),x99263),x99264)),x99265)),x99266)))
% 204.32/204.32 [9927]~P113(x99271)+~P107(f331(f331(f240(x99271),f331(f331(f80(x99271),f331(f331(f81(x99271),x99274),x99275)),x99272)),f331(f331(f80(x99271),f331(f331(f81(x99271),x99273),x99275)),x99276)))+P107(f331(f331(f240(x99271),x99272),f331(f331(f80(x99271),f331(f331(f81(x99271),f331(f331(f23(x99271),x99273),x99274)),x99275)),x99276)))
% 204.32/204.32 [9950]~P113(x99501)+P107(f331(f331(f239(x99501),f331(f331(f80(x99501),f331(f331(f81(x99501),x99502),x99503)),x99504)),f331(f331(f80(x99501),f331(f331(f81(x99501),x99505),x99503)),x99506)))+~P107(f331(f331(f239(x99501),x99504),f331(f331(f80(x99501),f331(f331(f81(x99501),f331(f331(f23(x99501),x99505),x99502)),x99503)),x99506)))
% 204.32/204.32 [9951]~P113(x99511)+P107(f331(f331(f240(x99511),f331(f331(f80(x99511),f331(f331(f81(x99511),x99512),x99513)),x99514)),f331(f331(f80(x99511),f331(f331(f81(x99511),x99515),x99513)),x99516)))+~P107(f331(f331(f240(x99511),x99514),f331(f331(f80(x99511),f331(f331(f81(x99511),f331(f331(f23(x99511),x99515),x99512)),x99513)),x99516)))
% 204.32/204.32 [10053]~P113(x100531)+~P107(f331(f331(f239(x100531),f331(f331(f80(x100531),f331(f331(f81(x100531),x100532),x100534)),x100535)),f331(f331(f80(x100531),f331(f331(f81(x100531),x100533),x100534)),x100536)))+P107(f331(f331(f239(x100531),f331(f331(f80(x100531),f331(f331(f81(x100531),f331(f331(f23(x100531),x100532),x100533)),x100534)),x100535)),x100536))
% 204.32/204.32 [10054]~P113(x100541)+~P107(f331(f331(f240(x100541),f331(f331(f80(x100541),f331(f331(f81(x100541),x100542),x100544)),x100545)),f331(f331(f80(x100541),f331(f331(f81(x100541),x100543),x100544)),x100546)))+P107(f331(f331(f240(x100541),f331(f331(f80(x100541),f331(f331(f81(x100541),f331(f331(f23(x100541),x100542),x100543)),x100544)),x100545)),x100546))
% 204.32/204.32 [10101]~P113(x101011)+P107(f331(f331(f239(x101011),f331(f331(f80(x101011),f331(f331(f81(x101011),x101012),x101013)),x101014)),f331(f331(f80(x101011),f331(f331(f81(x101011),x101015),x101013)),x101016)))+~P107(f331(f331(f239(x101011),f331(f331(f80(x101011),f331(f331(f81(x101011),f331(f331(f23(x101011),x101012),x101015)),x101013)),x101014)),x101016))
% 204.32/204.32 [10102]~P113(x101021)+P107(f331(f331(f240(x101021),f331(f331(f80(x101021),f331(f331(f81(x101021),x101022),x101023)),x101024)),f331(f331(f80(x101021),f331(f331(f81(x101021),x101025),x101023)),x101026)))+~P107(f331(f331(f240(x101021),f331(f331(f80(x101021),f331(f331(f81(x101021),f331(f331(f23(x101021),x101022),x101025)),x101023)),x101024)),x101026))
% 204.32/204.32 [10265]~P72(x102652)+~P107(f331(f61(x102651),x102656))+E(f331(f331(f6(x102651,x102652),f331(f331(f18(x102651,x102652,x102652),f331(f331(f18(x102651,x102652,f935(x102652,x102652)),f331(f331(f8(a923,f935(x102652,f935(x102652,x102652)),x102651),f100(x102652)),x102653)),x102654)),x102655)),x102656),f331(f331(f80(x102652),f331(f331(f6(x102651,x102652),x102654),f331(f331(f105(f935(x102651,a923)),x102656),f331(f266(x102651),x102653)))),f331(f331(f6(x102651,x102652),x102655),f331(f331(f105(f935(x102651,a923)),x102656),f331(f79(f935(x102651,a923)),f331(f266(x102651),x102653))))))
% 204.32/204.32 [10323]P107(f331(f331(f333(x103232),x103234),x103236))+P107(f331(f331(f333(x103232),x103235),x103236))+E(f331(f315(x103231,x103232,f331(f331(f7(x103231,x103232,x103232),f331(f331(f7(x103231,x103232,f935(x103232,x103232)),f331(f331(f8(a923,f935(x103232,f935(x103232,x103232)),x103231),f100(x103232)),f331(f331(f7(x103231,f935(x103231,a923),a923),f333(x103231)),x103233))),x103234)),x103235)),x103236),f192(f935(x103231,a923)))
% 204.32/204.32 [10324]P107(f331(f331(f333(x103242),x103245),x103246))+~P107(f331(f331(f333(x103242),x103244),x103246))+E(f331(f315(x103241,x103242,f331(f331(f7(x103241,x103242,x103242),f331(f331(f7(x103241,x103242,f935(x103242,x103242)),f331(f331(f8(a923,f935(x103242,f935(x103242,x103242)),x103241),f100(x103242)),f331(f331(f7(x103241,f935(x103241,a923),a923),f333(x103241)),x103243))),x103244)),x103245)),x103246),x103243)
% 204.32/204.32 [10325]P107(f331(f331(f333(x103252),x103254),x103256))+~P107(f331(f331(f333(x103252),x103255),x103256))+E(f331(f315(x103251,x103252,f331(f331(f7(x103251,x103252,x103252),f331(f331(f7(x103251,x103252,f935(x103252,x103252)),f331(f331(f8(a923,f935(x103252,f935(x103252,x103252)),x103251),f100(x103252)),f331(f331(f7(x103251,f935(x103251,a923),a923),f333(x103251)),x103253))),x103254)),x103255)),x103256),f331(f79(f935(x103251,a923)),x103253))
% 204.32/204.32 [10326]~P107(f331(f331(f333(x103262),x103264),x103266))+~P107(f331(f331(f333(x103262),x103265),x103266))+E(f331(f315(x103261,x103262,f331(f331(f7(x103261,x103262,x103262),f331(f331(f7(x103261,x103262,f935(x103262,x103262)),f331(f331(f8(a923,f935(x103262,f935(x103262,x103262)),x103261),f100(x103262)),f331(f331(f7(x103261,f935(x103261,a923),a923),f333(x103261)),x103263))),x103264)),x103265)),x103266),f246(f935(x103261,a923)))
% 204.32/204.32 [8879]E(x88791,x88792)+~P57(x88794,x88795,x88793,x88796,x88797)+~E(f331(x88793,x88791),f331(x88793,x88792))
% 204.32/204.32 [8908]~P9(x89086,x89085,x89087,x89084,x89081)+E(f331(f331(x89081,x89082),x89083),x89084)+P107(f331(f61(x89085),x89083))
% 204.32/204.32 [9793]P43(x97931,x97932,x97933,x97934,x97935,f331(f331(x97933,x97936),x97937))+~E(f331(f331(x97933,x97936),x97937),x97934)+~E(x97935,f192(f935(x97931,a923)))
% 204.32/204.32 [9972]~P107(f331(x99726,x99723))+~P107(f331(f331(f333(f934(x99722,x99722)),f331(f331(f256(x99722,x99722),x99724),x99725)),f331(x99727,x99723)))+P107(f331(f331(f333(f934(f934(x99721,x99722),f934(x99721,x99722))),f331(f331(f256(f934(x99721,x99722),f934(x99721,x99722)),f331(f331(f256(x99721,x99722),x99723),x99724)),f331(f331(f256(x99721,x99722),x99723),x99725))),f284(x99721,x99722,x99726,x99727)))
% 204.32/204.32 [10393]~P43(x103932,x103937,x103933,x103936,x103931,f331(f331(x103933,x103935),x103934))+E(f331(f331(x103933,f504(x103934,x103935,x103931,x103936,x103933,x103937,x103932)),f515(x103934,x103935,x103931,x103936,x103933,x103937,x103932)),f331(f331(x103933,x103935),x103934))+E(x103931,f192(f935(x103932,a923)))
% 204.32/204.32 [10394]~P43(x103947,x103946,x103941,x103944,x103945,f331(f331(x103941,x103942),x103943))+E(f331(f331(x103941,f504(x103943,x103942,x103945,x103944,x103941,x103946,x103947)),f515(x103943,x103942,x103945,x103944,x103941,x103946,x103947)),f331(f331(x103941,x103942),x103943))+E(f331(f331(x103941,x103942),x103943),x103944)
% 204.32/204.32 [9458]~P35(x94581,x94582,x94583,x94585,x94587)+P35(x94581,x94582,x94583,f331(f331(f155(x94581),x94584),x94585),f331(f331(f155(x94582),x94586),x94587))+~P107(f331(f331(x94583,x94584),x94586))
% 204.32/204.32 [9475]P35(x94751,x94752,x94753,x94754,x94755)+~P35(x94751,x94752,x94753,f331(f331(f138(x94751),x94756),x94754),f331(f331(f138(x94752),x94757),x94755))+~E(f331(f193(f928(x94751)),x94756),f331(f193(f928(x94752)),x94757))
% 204.32/204.32 [9476]P35(x94761,x94762,x94763,x94764,x94765)+~P35(x94761,x94762,x94763,f331(f331(f138(x94761),x94764),x94766),f331(f331(f138(x94762),x94765),x94767))+~E(f331(f193(f928(x94761)),x94764),f331(f193(f928(x94762)),x94765))
% 204.32/204.32 [9691]~P35(x96911,x96912,x96913,x96915,x96917)+~P35(x96911,x96912,x96913,x96914,x96916)+P35(x96911,x96912,x96913,f331(f331(f138(x96911),x96914),x96915),f331(f331(f138(x96912),x96916),x96917))
% 204.32/204.32 [10046]~P107(f331(f66(x100461,x100464,x100465,x100466,x100463),x100467))+P107(f331(f66(x100461,x100464,x100465,x100466,f331(f331(f313(x100461),x100462),x100463)),f331(f331(x100465,x100462),x100467)))+P107(f331(f331(f333(x100461),x100462),x100463))
% 204.32/204.32 [10425]~P43(x104252,x104257,x104256,x104255,x104251,f331(f331(x104256,x104254),x104253))+E(x104251,f192(f935(x104252,a923)))+P107(f331(f331(f333(x104252),f504(x104253,x104254,x104251,x104255,x104256,x104257,x104252)),x104251))
% 204.32/204.32 [10426]~P43(x104265,x104267,x104261,x104264,x104266,f331(f331(x104261,x104262),x104263))+E(f331(f331(x104261,x104262),x104263),x104264)+P107(f331(f331(f333(x104265),f504(x104263,x104262,x104266,x104264,x104261,x104267,x104265)),x104266))
% 204.32/204.32 [10518]E(f331(f331(f256(x105181,x105182),x105183),x105184),f331(f331(f256(x105181,x105182),x105185),x105186))+P107(f331(f331(f333(f934(f934(x105181,x105182),f934(x105181,x105182))),f331(f331(f256(f934(x105181,x105182),f934(x105181,x105182)),f331(f331(f256(x105181,x105182),f853(x105187,x105184,x105183,x105186,x105185,x105182,x105181)),f854(x105187,x105184,x105183,x105186,x105185,x105182,x105181))),f331(f331(f256(x105181,x105182),x105183),x105184))),f311(f934(x105181,x105182),x105187)))+~P107(f331(f331(f333(f934(f934(x105181,x105182),f934(x105181,x105182))),f331(f331(f256(f934(x105181,x105182),f934(x105181,x105182)),f331(f331(f256(x105181,x105182),x105185),x105186)),f331(f331(f256(x105181,x105182),x105183),x105184))),f311(f934(x105181,x105182),x105187)))
% 204.32/204.32 [9149]~P20(x91494,x91495,x91496,x91497,x91491)+~P107(f331(f61(x91495),x91493))+E(f331(f331(x91491,x91492),x91493),f331(f331(f331(f65(x91494,x91495,x91496),x91492),x91497),x91493))
% 204.32/204.32 [9150]~P9(x91504,x91505,x91506,x91507,x91501)+~P107(f331(f61(x91505),x91503))+E(f331(f331(x91501,x91502),x91503),f331(f331(f331(f65(x91504,x91505,x91506),x91502),x91507),x91503))
% 204.32/204.32 [9757]~P23(x97571,x97572,f331(f331(f313(f926(x97571)),f331(f331(f331(f91(x97571),x97573),x97574),x97577)),f192(f935(f926(x97571),a923))))+P23(x97571,x97572,f331(f331(f313(f926(x97571)),f331(f331(f331(f91(x97571),x97573),f30(x97574,x97575)),x97576)),f192(f935(f926(x97571),a923))))+~P23(x97571,x97572,f331(f331(f313(f926(x97571)),f331(f331(f331(f91(x97571),x97577),x97575),x97576)),f192(f935(f926(x97571),a923))))
% 204.32/204.32 [9945]~P22(x99453,x99454,x99455,x99457,x99456,x99451)+~P107(f331(f61(x99454),x99452))+E(f331(x99451,x99452),f331(f331(f331(f65(x99453,x99454,x99455),x99456),x99457),x99452))
% 204.32/204.32 [10096]P43(x100961,x100962,x100963,x100964,x100965,f331(f331(x100963,x100966),x100967))+~P43(x100961,x100962,x100963,x100964,f331(f331(f23(f935(x100961,a923)),x100965),f331(f331(f313(x100961),x100966),f192(f935(x100961,a923)))),x100967)+~P107(f331(f331(f333(x100961),x100966),x100965))
% 204.32/204.32 [10358]~P23(x103581,x103582,f331(f331(f313(f926(x103581)),f331(f331(f331(f91(x103581),f96(x103581,x103583,x103584)),x103585),x103587)),f192(f935(f926(x103581),a923))))+P23(x103581,x103582,f331(f331(f313(f926(x103581)),f331(f331(f331(f91(x103581),x103583),f27(x103584,x103585,x103586)),x103587)),f192(f935(f926(x103581),a923))))+~P23(x103581,x103582,f331(f331(f313(f926(x103581)),f331(f331(f331(f91(x103581),f96(x103581,x103583,f331(f73(a923,a923,a924,a326),x103584))),x103586),x103587)),f192(f935(f926(x103581),a923))))
% 204.32/204.32 [10450]P107(f331(f331(x104507,f798(x104504,x104505,x104501,x104506,x104503,x104502,x104507)),f799(x104504,x104505,x104501,x104506,x104503,x104502,x104507)))+~P107(f331(f331(x104507,f331(f260(x104502,x104503),x104506)),f331(f255(x104502,x104503),x104506)))+P107(f331(x104501,f331(f331(f261(x104502,x104503,x104504),x104505),x104506)))
% 204.32/204.32 [10451]P23(x104517,x104516,f331(f331(f313(f926(x104517)),f331(f331(f331(f91(x104517),x104511),x104514),x104512)),f192(f935(f926(x104517),a923))))+~P23(x104517,x104516,f331(f331(f313(f926(x104517)),f331(f331(f331(f91(x104517),x104515),x104514),x104513)),f192(f935(f926(x104517),a923))))+P107(f331(f331(x104511,f903(x104512,x104511,x104513,x104514,x104515,x104516,x104517)),f913(x104512,x104511,x104513,x104514,x104515,x104516,x104517)))
% 204.32/204.32 [10461]~P43(x104612,x104613,x104614,x104615,x104611,f331(f331(x104614,x104617),x104616))+P43(x104612,x104613,x104614,x104615,f331(f331(f23(f935(x104612,a923)),x104611),f331(f331(f313(x104612),f504(x104616,x104617,x104611,x104615,x104614,x104613,x104612)),f192(f935(x104612,a923)))),f515(x104616,x104617,x104611,x104615,x104614,x104613,x104612))+E(x104611,f192(f935(x104612,a923)))
% 204.32/204.32 [10462]~P43(x104625,x104626,x104621,x104624,x104627,f331(f331(x104621,x104622),x104623))+P43(x104625,x104626,x104621,x104624,f331(f331(f23(f935(x104625,a923)),x104627),f331(f331(f313(x104625),f504(x104623,x104622,x104627,x104624,x104621,x104626,x104625)),f192(f935(x104625,a923)))),f515(x104623,x104622,x104627,x104624,x104621,x104626,x104625))+E(f331(f331(x104621,x104622),x104623),x104624)
% 204.32/204.32 [10463]~P23(x104631,x104632,f331(f331(f313(f926(x104631)),f331(f331(f331(f91(x104631),x104637),x104634),x104636)),f192(f935(f926(x104631),a923))))+P23(x104631,x104632,f331(f331(f313(f926(x104631)),f331(f331(f331(f91(x104631),x104633),x104634),x104635)),f192(f935(f926(x104631),a923))))+~P107(f331(f331(x104635,f903(x104635,x104633,x104636,x104634,x104637,x104632,x104631)),f922(x104635,x104633,x104636,x104634,x104637,x104632,x104631)))
% 204.32/204.32 [10484]~P107(f331(x104841,f331(f331(x104845,f799(x104844,x104845,x104841,x104846,x104843,x104842,x104847)),f798(x104844,x104845,x104841,x104846,x104843,x104842,x104847))))+~P107(f331(f331(x104847,f331(f260(x104842,x104843),x104846)),f331(f255(x104842,x104843),x104846)))+P107(f331(x104841,f331(f331(f261(x104842,x104843,x104844),x104845),x104846)))
% 204.32/204.32 [9778]P107(f331(f331(f239(f935(f934(x97781,x97782),a923)),f331(f331(f293(x97781,x97783,x97782),x97784),x97785)),f331(f331(f293(x97781,x97783,x97782),x97786),x97787)))+~P107(f331(f331(f239(f935(f934(x97783,x97782),a923)),x97785),x97787))+~P107(f331(f331(f239(f935(f934(x97781,x97783),a923)),x97784),x97786))
% 204.32/204.32 [10511]E(f331(f331(f256(x105111,x105112),x105113),x105114),f331(f331(f256(x105111,x105112),x105115),x105116))+~P107(f331(f331(f333(f934(f934(x105111,x105112),f934(x105111,x105112))),f331(f331(f256(f934(x105111,x105112),f934(x105111,x105112)),f331(f331(f256(x105111,x105112),x105113),x105114)),f331(f331(f256(x105111,x105112),x105115),x105116))),f311(f934(x105111,x105112),x105117)))+P107(f331(f331(f333(f934(f934(x105111,x105112),f934(x105111,x105112))),f331(f331(f256(f934(x105111,x105112),f934(x105111,x105112)),f331(f331(f256(x105111,x105112),x105113),x105114)),f331(f331(f256(x105111,x105112),f853(x105117,x105116,x105115,x105114,x105113,x105112,x105111)),f854(x105117,x105116,x105115,x105114,x105113,x105112,x105111)))),x105117))
% 204.32/204.32 [10107]~P107(f331(f331(f333(x101071),x101076),x101075))+P107(f331(f66(x101071,x101072,x101073,x101074,x101075),f331(f331(x101073,x101076),x101077)))+~P107(f331(f66(x101071,x101072,x101073,x101074,f331(f331(f23(f935(x101071,a923)),x101075),f331(f331(f313(x101071),x101076),f192(f935(x101071,a923))))),x101077))
% 204.32/204.32 [10526]~P140(x105261)+~P24(f934(x105262,x105263),x105261,f331(f261(x105262,x105263,x105261),f331(f331(f7(x105262,f935(x105263,x105261),f935(x105263,x105261)),f331(f331(f8(f935(x105261,x105261),f935(f935(x105263,x105261),f935(x105263,x105261)),x105262),f8(x105261,x105261,x105263)),f331(f331(f8(x105261,f935(x105261,x105261),x105262),f81(x105261)),x105264))),x105265)),f331(f331(f258(x105262,x105263),x105266),f331(f16(f935(x105263,a923),x105262),x105267)))+E(f331(f331(f6(x105261,x105261),f32(x105261)),f331(f266(x105261),f331(f331(f8(f935(x105262,a923),a923,x105261),f87(x105262)),f331(f331(f8(f935(x105262,f935(x105263,a923)),f935(x105262,a923),x105261),f331(f8(f935(x105263,a923),a923,x105262),f87(x105263))),f331(f331(f7(x105261,f935(x105262,f935(x105263,a923)),f935(x105262,f935(x105263,a923))),f331(f331(f8(f935(x105262,f935(f935(x105263,a923),f935(x105263,a923))),f935(f935(x105262,f935(x105263,a923)),f935(x105262,f935(x105263,a923))),x105261),f18(x105262,f935(x105263,a923),f935(x105263,a923))),f331(f331(f8(f935(x105262,f935(x105263,f935(a923,a923))),f935(x105262,f935(f935(x105263,a923),f935(x105263,a923))),x105261),f331(f8(f935(x105263,f935(a923,a923)),f935(f935(x105263,a923),f935(x105263,a923)),x105262),f18(x105263,a923,a923))),f331(f331(f8(f935(x105262,f935(x105263,a923)),f935(x105262,f935(x105263,f935(a923,a923))),x105261),f331(f8(f935(x105263,a923),f935(x105263,f935(a923,a923)),x105262),f331(f8(a923,f935(a923,a923),x105263),a329))),f331(f331(f7(x105261,f935(x105262,f935(x105263,x105261)),f935(x105262,f935(x105263,a923))),f331(f331(f8(f935(f935(x105263,x105261),f935(x105263,a923)),f935(f935(x105262,f935(x105263,x105261)),f935(x105262,f935(x105263,a923))),x105261),f8(f935(x105263,x105261),f935(x105263,a923),x105262)),f331(f331(f8(f935(x105261,a923),f935(f935(x105263,x105261),f935(x105263,a923)),x105261),f8(x105261,a923,x105263)),a328))),f331(f331(f7(x105262,f935(x105263,x105261),f935(x105263,x105261)),f331(f331(f8(f935(x105261,x105261),f935(f935(x105263,x105261),f935(x105263,x105261)),x105262),f8(x105261,x105261,x105263)),f331(f331(f8(x105261,f935(x105261,x105261),x105262),f81(x105261)),x105264))),x105265)))))),f331(f331(f7(x105262,f935(x105263,a923),f935(x105263,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x105263,a923),f935(x105263,a923)),x105262),f8(a923,a923,x105263)),f331(f331(f8(a923,f935(a923,a923),x105262),a329),f331(f331(f7(x105262,f935(x105262,a923),a923),f333(x105262)),x105266)))),f331(f331(f7(x105263,f935(x105263,a923),a923),f333(x105263)),x105267))))))),f331(f331(f81(x105261),f331(f331(f6(x105262,x105261),x105264),x105266)),f331(f331(f6(x105263,x105261),x105265),x105267)))
% 204.32/204.32 [9782]~P25(x97821,x97823,x97825,x97826,x97828)+~P25(x97823,x97822,x97824,x97828,x97827)+P25(x97821,x97822,f331(f73(x97823,x97822,x97821,x97824),x97825),x97826,x97827)
% 204.32/204.32 [9811]P25(x98111,x98112,x98113,x98114,x98115)+~P25(x98116,x98111,x98117,x98118,x98114)+~P25(x98116,x98112,f331(f73(x98111,x98112,x98116,x98113),x98117),x98118,x98115)
% 204.32/204.32 [9943]~P107(f331(f331(x99434,x99436),x99438))+~P107(f331(f331(x99435,x99438),x99437))+P107(f331(f331(f257(x99431,x99432,x99433,x99434,x99435),x99436),x99437))
% 204.32/204.32 [9531]~P18(x95318,x95311,x95313,x95315)+~P107(f331(f61(x95318),x95316))+E(f331(f73(x95311,x95311,x95312,f331(x95313,x95314)),f331(f73(x95311,x95311,x95312,f331(x95315,x95316)),x95317)),f331(f73(x95311,x95311,x95312,f331(x95315,x95316)),f331(f73(x95311,x95311,x95312,f331(x95313,x95314)),x95317)))
% 204.32/204.32 [9933]~P21(x99337,x99332,x99335,x99338,x99336,x99331)+~P107(f331(f61(x99332),x99334))+E(f331(x99331,f331(f331(f313(x99332),x99333),x99334)),f331(f331(x99335,f331(x99336,x99333)),f331(x99331,x99334)))
% 204.32/204.32 [10051]~P24(x100512,x100514,x100516,x100518)+~P24(x100511,x100513,x100515,x100517)+P24(f934(x100511,x100512),f934(x100513,x100514),f262(x100511,x100513,x100512,x100514,x100515,x100516),f331(f331(f258(x100511,x100512),x100517),f331(f16(f935(x100512,a923),x100511),x100518)))
% 204.32/204.32 [9717]P107(f331(f331(f333(f934(x97171,x97172)),f331(f331(f256(x97171,x97172),x97173),x97174)),f331(f331(f293(x97171,x97175,x97172),x97176),x97177)))+~P107(f331(f331(f333(f934(x97171,x97175)),f331(f331(f256(x97171,x97175),x97173),x97178)),x97176))+~P107(f331(f331(f333(f934(x97175,x97172)),f331(f331(f256(x97175,x97172),x97178),x97174)),x97177))
% 204.32/204.32 [9914]~P107(f331(f331(f239(f935(f934(x99143,x99142),a923)),x99145),f331(f331(f258(x99143,x99142),x99148),f331(f16(f935(x99142,a923),x99143),x99147))))+~P107(f331(f331(f239(f935(f934(x99141,x99143),a923)),x99144),f331(f331(f258(x99141,x99143),x99146),f331(f16(f935(x99143,a923),x99141),x99148))))+P107(f331(f331(f239(f935(f934(x99141,x99142),a923)),f331(f331(f293(x99141,x99143,x99142),x99144),x99145)),f331(f331(f258(x99141,x99142),x99146),f331(f16(f935(x99142,a923),x99141),x99147))))
% 204.32/204.32 [9967]~E(x99673,x99675)+P107(f331(f331(f333(f934(f934(x99671,x99672),f934(x99671,x99672))),f331(f331(f256(f934(x99671,x99672),f934(x99671,x99672)),f331(f331(f256(x99671,x99672),x99673),x99674)),f331(f331(f256(x99671,x99672),x99675),x99676))),f323(x99671,x99672,x99677,x99678)))+~P107(f331(f331(f333(f934(x99672,x99672)),f331(f331(f256(x99672,x99672),x99674),x99676)),x99678))
% 204.32/204.32 [10070]E(x100701,x100702)+~P107(f331(f331(f333(f934(f934(x100703,x100705),f934(x100703,x100705))),f331(f331(f256(f934(x100703,x100705),f934(x100703,x100705)),f331(f331(f256(x100703,x100705),x100701),x100706)),f331(f331(f256(x100703,x100705),x100702),x100707))),f323(x100703,x100705,x100704,x100708)))+P107(f331(f331(f333(f934(x100703,x100703)),f331(f331(f256(x100703,x100703),x100701),x100702)),x100704))
% 204.32/204.32 [10086]~P107(f331(f331(f333(f934(f934(x100861,x100865),f934(x100861,x100865))),f331(f331(f256(f934(x100861,x100865),f934(x100861,x100865)),f331(f331(f256(x100861,x100865),x100862),x100866)),f331(f331(f256(x100861,x100865),x100863),x100867))),f323(x100861,x100865,x100864,x100868)))+P107(f331(f331(f333(f934(x100861,x100861)),f331(f331(f256(x100861,x100861),x100862),x100863)),x100864))+P107(f331(f331(f333(f934(x100865,x100865)),f331(f331(f256(x100865,x100865),x100866),x100867)),x100868))
% 204.32/204.32 [10002]~P22(x100027,x100025,x100021,x100028,x100022,x100024)+~P107(f331(f61(x100025),x100026))+E(f331(f331(x100021,f331(x100022,x100023)),f331(x100024,f331(f331(f23(f935(x100025,a923)),x100026),f331(f331(f313(x100025),x100023),f192(f935(x100025,a923)))))),f331(x100024,f331(f331(f313(x100025),x100023),x100026)))
% 204.32/204.32 [9482]~P107(f331(f331(f331(x94825,x94828),x94826),x94827))+~P107(f331(f331(f333(x94821),x94828),x94824))+P107(f331(f331(f331(f331(f39(x94821,f935(x94822,f935(x94823,a923))),x94824),x94825),x94826),x94827))
% 204.32/204.32 [9702]P107(f331(f331(f331(x97021,x97022),x97023),x97024))+~P107(f331(f331(f333(x97025),x97022),x97026))+~P107(f331(f331(f331(f331(f40(x97025,f935(x97027,f935(x97028,a923))),x97026),x97021),x97023),x97024))
% 204.32/204.32 [9907]~P20(x99073,x99072,x99074,x99078,x99071)+~P107(f331(f61(x99072),x99077))+E(f331(f331(x99071,f331(f331(f18(x99072,x99073,x99073),f331(f331(f8(x99073,f935(x99073,x99073),x99072),x99074),x99075)),x99076)),x99077),f331(f331(x99074,f331(f331(x99071,x99075),x99077)),f331(f331(x99071,x99076),x99077)))
% 204.32/204.32 [10172]~E(f331(f314(x101722,x101724,x101726),x101728),x1017210)+~E(f331(f314(x101721,x101723,x101725),x101727),x101729)+E(f331(f314(f934(x101721,x101722),f934(x101723,x101724),f262(x101721,x101723,x101722,x101724,x101725,x101726)),f331(f331(f258(x101721,x101722),x101727),f331(f16(f935(x101722,a923),x101721),x101728))),f331(f331(f258(x101723,x101724),x101729),f331(f16(f935(x101724,a923),x101723),x1017210)))
% 204.32/204.32 [5118]~P44(x51181,x51182)+~P50(x51181,x51182)+~P51(x51181,x51182)+P6(x51181,x51182)
% 204.32/204.32 [5074]~P109(x50742)+~P12(x50742,x50741)+P12(x50742,f118(x50742,x50741))+E(x50741,f117(x50742))
% 204.32/204.32 [5075]~P109(x50752)+~P12(x50752,x50751)+P12(x50752,f716(x50751,x50752))+E(x50751,f117(x50752))
% 204.32/204.32 [5317]~P4(x53172)+E(f10(x53172,x53171),f37(x53172,x53171))+E(x53171,f192(f935(x53172,a923)))+~P107(f331(f61(x53172),x53171))
% 204.32/204.32 [5318]~P4(x53182)+E(f11(x53182,x53181),f38(x53182,x53181))+E(x53181,f192(f935(x53182,a923)))+~P107(f331(f61(x53182),x53181))
% 204.32/204.32 [5477]~P109(x54772)+~P12(x54772,x54771)+E(x54771,f117(x54772))+E(f331(f331(f155(x54772),f735(x54771,x54772)),f716(x54771,x54772)),x54771)
% 204.32/204.32 [6284]~P79(x62842)+E(x62841,f192(f935(x62842,a923)))+P107(f331(f331(f239(x62842),f11(x62842,x62841)),f10(x62842,x62841)))+~P107(f331(f61(x62842),x62841))
% 204.32/204.32 [6296]~P41(x62962)+~P41(x62961)+E(x62961,x62962)+~E(f331(f314(a1,a927,a108),x62961),f331(f314(a1,a927,a108),x62962))
% 204.32/204.32 [9338]~P114(x93381)+~P107(f331(f331(f333(x93381),x93382),f113(x93381)))+P107(f331(f331(f240(x93381),f331(f331(f80(x93381),f331(f331(f80(x93381),f78(x93381)),x93382)),x93382)),f2(x93381)))+~P107(f331(f331(f240(x93381),x93382),f2(x93381)))
% 204.32/204.32 [9586]~P114(x95861)+~P107(f331(f331(f333(x95861),x95862),f113(x95861)))+~P107(f331(f331(f240(x95861),f331(f331(f80(x95861),f331(f331(f80(x95861),f78(x95861)),x95862)),x95862)),f2(x95861)))+P107(f331(f331(f240(x95861),x95862),f2(x95861)))
% 204.32/204.32 [5133]~P140(x51332)+~P117(x51332)+E(x51331,f2(a927))+E(f331(f331(f248(x51332),f2(x51332)),x51331),f2(x51332))
% 204.32/204.32 [5136]~P140(x51361)+~P117(x51361)+~E(x51362,f2(a927))+E(f331(f331(f248(x51361),f2(x51361)),x51362),f78(x51361))
% 204.32/204.32 [5303]~P143(x53032)+E(x53031,f78(x53032))+E(x53031,f331(f79(x53032),f78(x53032)))+~E(f331(f331(f81(x53032),x53031),x53031),f78(x53032))
% 204.32/204.32 [5557]~P92(x55572)+E(x55571,f2(x55572))+E(f82(x55572,x55571),f331(f79(x55572),f78(x55572)))+P107(f331(f331(f240(x55572),f2(x55572)),x55571))
% 204.32/204.32 [5795]~P92(x57952)+E(f82(x57952,x57951),f78(x57952))+E(x57951,f2(x57952))+~P107(f331(f331(f240(x57952),f2(x57952)),x57951))
% 204.32/204.32 [5804]E(x58041,x58042)+~E(f331(f107(a927),x58041),f331(f107(a927),x58042))+P107(f331(a197,f331(f107(a1),x58042)))+P107(f331(a197,f331(f107(a1),x58041)))
% 204.32/204.32 [5854]~P94(x58541)+~E(x58542,f2(x58541))+E(f331(f331(f80(x58541),x58542),x58542),f2(x58541))+~P107(f331(f331(f333(x58541),x58542),f113(x58541)))
% 204.32/204.32 [5893]E(x58931,f2(a1))+~E(f331(f331(f36(a1),x58932),x58931),f2(a1))+P107(f331(f331(f240(a1),x58931),x58932))+P107(f331(f331(f240(a1),x58932),x58931))
% 204.32/204.32 [5923]E(x59231,f2(a1))+~E(f331(f331(f36(a1),x59232),x59231),f2(a1))+P107(f331(f331(f239(a1),x59232),f2(a1)))+P107(f331(f331(f240(a1),x59232),x59231))
% 204.32/204.32 [5957]E(x59571,f2(a1))+~E(f331(f331(f36(a1),x59572),x59571),f2(a1))+P107(f331(f331(f239(a1),f2(a1)),x59572))+P107(f331(f331(f240(a1),x59571),x59572))
% 204.32/204.32 [5992]~P94(x59922)+E(x59921,f2(x59922))+~E(f331(f331(f80(x59922),x59921),x59921),f2(x59922))+~P107(f331(f331(f333(x59922),x59921),f113(x59922)))
% 204.32/204.32 [6054]E(f331(f107(a927),x60541),f331(f107(a927),x60542))+~E(f331(f107(a1),x60542),f2(a1))+P107(f331(a197,f331(f107(a1),x60542)))+~P107(f331(a197,f331(f107(a1),x60541)))
% 204.32/204.32 [6083]~E(f331(f107(a927),x60832),f331(f107(a927),x60831))+E(f331(f107(a1),x60831),f2(a1))+P107(f331(a197,f331(f107(a1),x60831)))+~P107(f331(a197,f331(f107(a1),x60832)))
% 204.32/204.32 [6093]~P109(x60932)+E(x60931,f192(f935(x60932,a923)))+~P107(f331(f61(x60932),x60931))+P107(f331(f331(f333(x60932),f14(x60932,x60931)),x60931))
% 204.32/204.32 [6094]~P109(x60942)+E(x60941,f192(f935(x60942,a923)))+~P107(f331(f61(x60942),x60941))+P107(f331(f331(f333(x60942),f15(x60942,x60941)),x60941))
% 204.32/204.32 [6261]~P114(x62611)+~P95(x62611)+P107(f331(f331(f239(x62611),f2(x62611)),f331(f107(x62611),x62612)))+~P107(f331(f331(f239(a1),a83),x62612))
% 204.32/204.32 [6262]~P114(x62621)+~P95(x62621)+P107(f331(f331(f240(x62621),f2(x62621)),f331(f107(x62621),x62622)))+~P107(f331(f331(f240(a1),a83),x62622))
% 204.32/204.32 [6283]~P114(x62831)+~P95(x62831)+E(f331(f76(x62831),f331(f107(x62831),x62832)),f331(f107(x62831),x62832))+P107(f331(f331(f240(x62831),f331(f107(x62831),x62832)),f2(x62831)))
% 204.32/204.32 [6320]E(x63201,x63202)+~E(f331(a108,x63201),f331(a108,x63202))+~P107(f331(f331(f239(a1),f2(a1)),x63202))+~P107(f331(f331(f239(a1),f2(a1)),x63201))
% 204.32/204.32 [6516]~P95(x65162)+~P114(x65162)+~P107(f331(f331(f239(x65162),f2(x65162)),f331(f107(x65162),x65161)))+P107(f331(f331(f239(a1),a83),x65161))
% 204.32/204.32 [6517]~P95(x65172)+~P114(x65172)+~P107(f331(f331(f240(x65172),f2(x65172)),f331(f107(x65172),x65171)))+P107(f331(f331(f240(a1),a83),x65171))
% 204.32/204.32 [6522]~P114(x65221)+~P95(x65221)+P107(f331(f331(f239(x65221),f331(f107(x65221),x65222)),f2(x65221)))+~P107(f331(f331(f239(a1),x65222),a83))
% 204.32/204.32 [6523]~P114(x65231)+~P95(x65231)+P107(f331(f331(f240(x65231),f331(f107(x65231),x65232)),f2(x65231)))+~P107(f331(f331(f240(a1),x65232),a83))
% 204.32/204.32 [6838]~P95(x68382)+~P114(x68382)+~P107(f331(f331(f239(x68382),f331(f107(x68382),x68381)),f2(x68382)))+P107(f331(f331(f239(a1),x68381),a83))
% 204.32/204.32 [6839]~P95(x68392)+~P114(x68392)+~P107(f331(f331(f240(x68392),f331(f107(x68392),x68391)),f2(x68392)))+P107(f331(f331(f240(a1),x68391),a83))
% 204.32/204.32 [6929]~P114(x69291)+~P95(x69291)+E(f331(f76(x69291),f331(f107(x69291),x69292)),f331(f79(x69291),f331(f107(x69291),x69292)))+~P107(f331(f331(f240(x69291),f331(f107(x69291),x69292)),f2(x69291)))
% 204.32/204.32 [6948]E(f331(f107(a927),x69481),f331(f107(a927),x69482))+~E(f331(f107(a1),x69482),f2(a1))+~P107(f331(f331(f239(a1),f331(f107(a1),x69481)),f2(a1)))+~P107(f331(a197,f331(f107(a1),x69481)))
% 204.32/204.32 [7822]~P109(x78222)+E(x78221,f192(f935(x78222,a923)))+~P107(f331(f61(x78222),x78221))+P107(f331(f331(f239(x78222),f13(x78222,f237(x78222),x78221)),f12(x78222,f238(x78222),x78221)))
% 204.32/204.32 [8141]~P5(x81411)+~P41(x81412)+P107(f331(f331(f333(a1),x81411),x81412))+~P107(f331(f331(f333(a927),f331(a108,x81411)),f331(f314(a1,a927,a108),x81412)))
% 204.32/204.32 [6089]~P144(x60892)+E(x60891,f2(a1))+E(f331(f79(x60892),f331(f106(x60892),f331(f79(a1),x60891))),f331(f106(x60892),x60891))+~P107(f331(f331(f240(a1),x60891),f2(a1)))
% 204.32/204.32 [6163]~P94(x61631)+~P95(x61631)+~P28(x61631,f331(f107(x61631),x61632))+P28(x61631,f331(f107(x61631),f331(f331(f80(a1),x61632),x61632)))
% 204.32/204.32 [6504]~P77(x65042)+E(x65041,f192(f935(x65042,a923)))+E(f15(x65042,f331(f314(x65042,x65042,f79(x65042)),x65041)),f331(f79(x65042),f14(x65042,x65041)))+~P107(f331(f61(x65042),x65041))
% 204.32/204.32 [6505]~P77(x65052)+E(x65051,f192(f935(x65052,a923)))+E(f14(x65052,f331(f314(x65052,x65052,f79(x65052)),x65051)),f331(f79(x65052),f15(x65052,x65051)))+~P107(f331(f61(x65052),x65051))
% 204.32/204.32 [6539]~P94(x65391)+~P95(x65391)+P28(x65391,f331(f107(x65391),x65392))+~P28(x65391,f331(f107(x65391),f331(f331(f80(a1),x65392),x65392)))
% 204.32/204.32 [6630]E(x66301,f2(a1))+E(f331(a51,f50(f331(f79(a1),x66301),f331(f79(a1),x66302))),f46(x66301,x66302))+P107(f331(f331(f239(a1),f2(a1)),x66302))+~P107(f331(f331(f239(a1),f2(a1)),x66301))
% 204.32/204.32 [8936]~P41(x89362)+~P41(x89361)+P107(f331(f331(f240(f935(a927,a923)),f331(f314(a1,a927,a108),x89361)),f331(f314(a1,a927,a108),x89362)))+~P107(f331(f331(f240(f935(a1,a923)),x89361),x89362))
% 204.32/204.32 [9167]~E(f737(x91672,x91671),f738(x91672,x91671))+~P107(f331(f141(x91671),f739(x91672,x91671)))+~P107(f331(f141(f928(x91671)),x91672))+P107(f331(f141(x91671),f331(f146(f928(x91671),f928(x91671),f138(x91671),f117(x91671)),x91672)))
% 204.32/204.32 [9257]~P41(x92572)+~P41(x92571)+~P107(f331(f331(f239(f935(a927,a923)),f331(f314(a1,a927,a108),x92571)),f331(f314(a1,a927,a108),x92572)))+P107(f331(f331(f239(f935(a1,a923)),x92571),x92572))
% 204.32/204.32 [9258]~P41(x92582)+~P41(x92581)+~P107(f331(f331(f240(f935(a927,a923)),f331(f314(a1,a927,a108),x92581)),f331(f314(a1,a927,a108),x92582)))+P107(f331(f331(f240(f935(a1,a923)),x92581),x92582))
% 204.32/204.32 [9264]~E(f737(x92642,x92641),f738(x92642,x92641))+~P107(f331(f141(f928(x92641)),x92642))+P107(f331(f141(x92641),f331(f146(f928(x92641),f928(x92641),f138(x92641),f117(x92641)),x92642)))+P107(f331(f331(f333(f928(x92641)),f739(x92642,x92641)),f331(f176(f928(x92641)),x92642)))
% 204.32/204.32 [9306]~P107(f331(f141(x93061),f739(x93062,x93061)))+~P107(f331(f141(f928(x93061)),x93062))+P107(f331(f141(x93061),f331(f146(f928(x93061),f928(x93061),f138(x93061),f117(x93061)),x93062)))+P107(f331(f331(f333(f928(x93061)),f738(x93062,x93061)),f331(f176(f928(x93061)),x93062)))
% 204.32/204.32 [9307]~P107(f331(f141(x93071),f739(x93072,x93071)))+~P107(f331(f141(f928(x93071)),x93072))+P107(f331(f141(x93071),f331(f146(f928(x93071),f928(x93071),f138(x93071),f117(x93071)),x93072)))+P107(f331(f331(f333(f928(x93071)),f737(x93072,x93071)),f331(f176(f928(x93071)),x93072)))
% 204.32/204.32 [9384]~P107(f331(f141(f928(x93841)),x93842))+P107(f331(f141(x93841),f331(f146(f928(x93841),f928(x93841),f138(x93841),f117(x93841)),x93842)))+P107(f331(f331(f333(f928(x93841)),f738(x93842,x93841)),f331(f176(f928(x93841)),x93842)))+P107(f331(f331(f333(f928(x93841)),f739(x93842,x93841)),f331(f176(f928(x93841)),x93842)))
% 204.32/204.32 [9385]~P107(f331(f141(f928(x93851)),x93852))+P107(f331(f141(x93851),f331(f146(f928(x93851),f928(x93851),f138(x93851),f117(x93851)),x93852)))+P107(f331(f331(f333(f928(x93851)),f737(x93852,x93851)),f331(f176(f928(x93851)),x93852)))+P107(f331(f331(f333(f928(x93851)),f739(x93852,x93851)),f331(f176(f928(x93851)),x93852)))
% 204.32/204.32 [9400]~E(f331(f331(f105(f935(x94001,a923)),f331(f176(x94001),f738(x94002,x94001))),f331(f176(x94001),f737(x94002,x94001))),f192(f935(x94001,a923)))+~P107(f331(f141(x94001),f739(x94002,x94001)))+~P107(f331(f141(f928(x94001)),x94002))+P107(f331(f141(x94001),f331(f146(f928(x94001),f928(x94001),f138(x94001),f117(x94001)),x94002)))
% 204.32/204.32 [9462]~E(f331(f331(f105(f935(x94621,a923)),f331(f176(x94621),f738(x94622,x94621))),f331(f176(x94621),f737(x94622,x94621))),f192(f935(x94621,a923)))+~P107(f331(f141(f928(x94621)),x94622))+P107(f331(f141(x94621),f331(f146(f928(x94621),f928(x94621),f138(x94621),f117(x94621)),x94622)))+P107(f331(f331(f333(f928(x94621)),f739(x94622,x94621)),f331(f176(f928(x94621)),x94622)))
% 204.32/204.32 [9750]E(x97501,f2(a1))+E(x97502,f2(a1))+E(f331(f331(f86(a1,f934(a1,a1)),f331(f331(a222,x97502),x97501)),f331(f331(f18(a1,a1,f934(a1,a1)),f331(f331(f8(a1,f935(a1,f934(a1,a1)),a1),f256(a1,a1)),f331(f36(a1),x97502))),f331(f36(a1),x97501))),f220(x97502,x97501))+P107(f331(f331(f240(a1),x97501),f2(a1)))
% 204.32/204.32 [8470]~P95(x84702)+~P114(x84702)+~P107(f331(f331(f239(x84702),f331(f107(x84702),x84701)),f78(x84702)))+P107(f331(f331(f239(a1),x84701),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))
% 204.32/204.32 [8471]~P95(x84712)+~P114(x84712)+~P107(f331(f331(f240(x84712),f331(f107(x84712),x84711)),f78(x84712)))+P107(f331(f331(f240(a1),x84711),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))
% 204.32/204.32 [8752]~P114(x87521)+~P95(x87521)+P107(f331(f331(f239(x87521),f331(f107(x87521),x87522)),f78(x87521)))+~P107(f331(f331(f239(a1),x87522),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))
% 204.32/204.32 [8753]~P114(x87531)+~P95(x87531)+P107(f331(f331(f240(x87531),f331(f107(x87531),x87532)),f78(x87531)))+~P107(f331(f331(f240(a1),x87532),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))
% 204.32/204.32 [8964]~P95(x89642)+~P114(x89642)+~P107(f331(f331(f239(x89642),f78(x89642)),f331(f107(x89642),x89641)))+P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),x89641))
% 204.32/204.32 [8965]~P95(x89652)+~P114(x89652)+~P107(f331(f331(f240(x89652),f78(x89652)),f331(f107(x89652),x89651)))+P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),x89651))
% 204.32/204.32 [9344]~P114(x93441)+~P95(x93441)+P107(f331(f331(f239(x93441),f78(x93441)),f331(f107(x93441),x93442)))+~P107(f331(f331(f239(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),x93442))
% 204.32/204.32 [9345]~P114(x93451)+~P95(x93451)+P107(f331(f331(f240(x93451),f78(x93451)),f331(f107(x93451),x93452)))+~P107(f331(f331(f240(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),x93452))
% 204.32/204.32 [9880]~P143(x98802)+E(x98801,f78(x98802))+E(x98801,f331(f79(x98802),f78(x98802)))+~E(f331(f331(f248(x98802),x98801),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x98802))
% 204.32/204.32 [10148]~P66(x101481)+~P95(x101481)+~P107(f331(f331(f240(x101481),f2(x101481)),x101482))+P107(f331(f331(f240(x101481),f2(x101481)),f331(f331(f294(x101481),x101482),f331(f107(x101481),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.32/204.32 [10202]~P66(x102021)+~P95(x102021)+P107(f331(f331(f240(x102021),f2(x102021)),x102022))+~P107(f331(f331(f240(x102021),f2(x102021)),f331(f331(f294(x102021),x102022),f331(f107(x102021),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.32/204.32 [10491]~P144(x104912)+E(x104911,f2(a1))+P107(f331(f331(f240(a1),x104911),f2(a1)))+E(f331(f331(f261(a1,a1,x104912),f331(f331(f7(a1,f935(a1,f935(x104912,x104912)),f935(a1,x104912)),f331(f331(f8(f935(f935(x104912,x104912),x104912),f935(f935(a1,f935(x104912,x104912)),f935(a1,x104912)),a1),f8(f935(x104912,x104912),x104912,a1)),f331(f331(f8(x104912,f935(f935(x104912,x104912),x104912),a1),f86(x104912,x104912)),f106(x104912)))),f331(f331(f7(a1,f935(x104912,x104912),f935(x104912,x104912)),f331(f331(f8(f935(x104912,f935(x104912,x104912)),f935(f935(x104912,x104912),f935(x104912,x104912)),a1),f18(x104912,x104912,x104912)),f331(f331(f7(a1,f935(x104912,x104912),f935(x104912,f935(x104912,x104912))),f331(f331(f8(f935(x104912,f935(x104912,x104912)),f935(f935(x104912,x104912),f935(x104912,f935(x104912,x104912))),a1),f8(x104912,f935(x104912,x104912),x104912)),f331(f331(f8(a923,f935(x104912,f935(x104912,x104912)),a1),f100(x104912)),f331(f331(f7(a1,a1,a923),a328),f2(a1))))),f331(f331(f18(x104912,x104912,x104912),f80(x104912)),f5(x104912))))),f331(f331(f7(x104912,x104912,x104912),f331(f331(f8(x104912,f935(x104912,x104912),x104912),f80(x104912)),f331(f331(f18(x104912,x104912,x104912),f80(x104912)),f5(x104912)))),f78(x104912))))),f46(x104911,f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f106(x104912),x104911))
% 204.32/204.32 [5566]~P39(x55661,x55663)+~P52(x55661,x55663)+~P53(x55661,x55662,x55663)+P7(x55661,x55662,x55663)
% 204.32/204.32 [5102]~P94(x51023)+~P95(x51023)+E(x51021,x51022)+~E(f331(f107(x51023),x51021),f331(f107(x51023),x51022))
% 204.32/204.32 [5576]~P50(x55761,x55762)+~P51(x55761,x55762)+P14(x55761,x55762)+~P107(f331(f331(x55762,x55763),x55763))
% 204.32/204.32 [6069]P14(x60692,x60691)+E(f331(x60691,f815(x60691)),f331(x60691,f816(x60691)))+P107(f331(f331(x60691,f815(x60691)),f816(x60691)))+~P107(f331(f331(x60691,x60693),x60693))
% 204.32/204.32 [6271]~P107(f331(x62711,x62712))+~P107(f331(x62711,x62713))+~P107(f331(f331(f239(a927),x62713),f349(x62712,x62711)))+P107(f331(x62711,f2(a927)))
% 204.32/204.32 [6340]P14(x63401,x63402)+P107(f331(f331(x63402,f815(x63402)),f815(x63402)))+P107(f331(f331(x63402,f815(x63402)),f816(x63402)))+~P107(f331(f331(x63402,x63403),x63403))
% 204.32/204.32 [6341]P14(x63411,x63412)+P107(f331(f331(x63412,f815(x63412)),f816(x63412)))+P107(f331(f331(x63412,f816(x63412)),f816(x63412)))+~P107(f331(f331(x63412,x63413),x63413))
% 204.32/204.32 [6695]P149(x66952,x66951,x66953)+E(x66951,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f868(x66953,x66951,x66952)))+P107(f331(f331(f240(a1),x66951),f2(a1)))
% 204.32/204.32 [6696]P148(x66962,x66961,x66963)+E(x66961,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f875(x66963,x66961,x66962)))+P107(f331(f331(f240(a1),x66961),f2(a1)))
% 204.32/204.32 [6817]P148(x68171,x68172,x68173)+~P107(f331(x68171,x68173))+P107(f331(f331(f239(a1),f2(a1)),f875(x68173,x68172,x68171)))+P107(f331(f331(f240(a1),x68172),f2(a1)))
% 204.32/204.32 [6844]P149(x68441,x68442,x68443)+P107(f331(f331(f239(a1),f2(a1)),f868(x68443,x68442,x68441)))+~P107(f331(x68441,f2(a1)))+P107(f331(f331(f240(a1),x68442),f2(a1)))
% 204.32/204.32 [6872]P149(x68722,x68721,x68723)+E(x68721,f2(a1))+~P107(f331(x68722,f869(x68723,x68721,x68722)))+P107(f331(f331(f240(a1),x68721),f2(a1)))
% 204.32/204.32 [6873]P148(x68732,x68731,x68733)+E(x68731,f2(a1))+~P107(f331(x68732,f875(x68733,x68731,x68732)))+P107(f331(f331(f240(a1),x68731),f2(a1)))
% 204.32/204.32 [6972]~P109(x69721)+~P4(x69721)+~P107(f331(f331(f240(x69721),x69722),f37(x69721,x69723)))+P107(f331(f331(f240(x69721),x69722),f884(x69723,x69722,x69721)))
% 204.32/204.32 [6981]P148(x69811,x69812,x69813)+~P107(f331(x69811,x69813))+~P107(f331(x69811,f875(x69813,x69812,x69811)))+P107(f331(f331(f240(a1),x69812),f2(a1)))
% 204.32/204.32 [7013]P149(x70131,x70132,x70133)+~P107(f331(x70131,f869(x70133,x70132,x70131)))+~P107(f331(x70131,f2(a1)))+P107(f331(f331(f240(a1),x70132),f2(a1)))
% 204.32/204.32 [7263]P149(x72632,x72631,x72633)+E(x72631,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f868(x72633,x72631,x72632)))+P107(f331(f331(f240(a1),x72631),f867(x72633,x72631,x72632)))
% 204.32/204.32 [7264]P148(x72642,x72641,x72643)+E(x72641,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f875(x72643,x72641,x72642)))+P107(f331(f331(f240(a1),x72641),f874(x72643,x72641,x72642)))
% 204.32/204.32 [7383]P148(x73831,x73832,x73833)+~P107(f331(x73831,x73833))+P107(f331(f331(f239(a1),f2(a1)),f875(x73833,x73832,x73831)))+P107(f331(f331(f240(a1),x73832),f874(x73833,x73832,x73831)))
% 204.32/204.32 [7402]P149(x74021,x74022,x74023)+P107(f331(f331(f239(a1),f2(a1)),f868(x74023,x74022,x74021)))+P107(f331(f331(f240(a1),x74022),f867(x74023,x74022,x74021)))+~P107(f331(x74021,f2(a1)))
% 204.32/204.32 [7435]P149(x74352,x74351,x74353)+E(x74351,f2(a1))+~P107(f331(x74352,f869(x74353,x74351,x74352)))+P107(f331(f331(f240(a1),x74351),f867(x74353,x74351,x74352)))
% 204.32/204.32 [7436]P148(x74362,x74361,x74363)+E(x74361,f2(a1))+~P107(f331(x74362,f875(x74363,x74361,x74362)))+P107(f331(f331(f240(a1),x74361),f874(x74363,x74361,x74362)))
% 204.32/204.32 [7480]P149(x74802,x74801,x74803)+E(x74801,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f868(x74803,x74801,x74802)))+~P107(f331(x74802,f873(x74803,x74801,x74802)))
% 204.32/204.32 [7481]P148(x74812,x74811,x74813)+E(x74811,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f875(x74813,x74811,x74812)))+~P107(f331(x74812,f874(x74813,x74811,x74812)))
% 204.32/204.32 [7574]P148(x75741,x75742,x75743)+~P107(f331(x75741,x75743))+~P107(f331(x75741,f875(x75743,x75742,x75741)))+P107(f331(f331(f240(a1),x75742),f874(x75743,x75742,x75741)))
% 204.32/204.32 [7589]P149(x75891,x75892,x75893)+~P107(f331(x75891,f869(x75893,x75892,x75891)))+P107(f331(f331(f240(a1),x75892),f867(x75893,x75892,x75891)))+~P107(f331(x75891,f2(a1)))
% 204.32/204.32 [7592]P148(x75921,x75922,x75923)+~P107(f331(x75921,x75923))+P107(f331(f331(f239(a1),f2(a1)),f875(x75923,x75922,x75921)))+~P107(f331(x75921,f874(x75923,x75922,x75921)))
% 204.32/204.32 [7609]P149(x76091,x76092,x76093)+P107(f331(f331(f239(a1),f2(a1)),f868(x76093,x76092,x76091)))+~P107(f331(x76091,f873(x76093,x76092,x76091)))+~P107(f331(x76091,f2(a1)))
% 204.32/204.32 [7632]P149(x76322,x76321,x76323)+E(x76321,f2(a1))+~P107(f331(x76322,f869(x76323,x76321,x76322)))+~P107(f331(x76322,f873(x76323,x76321,x76322)))
% 204.32/204.32 [7633]P148(x76332,x76331,x76333)+E(x76331,f2(a1))+~P107(f331(x76332,f875(x76333,x76331,x76332)))+~P107(f331(x76332,f874(x76333,x76331,x76332)))
% 204.32/204.32 [7720]P148(x77201,x77202,x77203)+~P107(f331(x77201,x77203))+~P107(f331(x77201,f875(x77203,x77202,x77201)))+~P107(f331(x77201,f874(x77203,x77202,x77201)))
% 204.32/204.32 [7738]P149(x77381,x77382,x77383)+~P107(f331(x77381,f869(x77383,x77382,x77381)))+~P107(f331(x77381,f873(x77383,x77382,x77381)))+~P107(f331(x77381,f2(a1)))
% 204.32/204.32 [7781]P149(x77812,x77811,x77813)+E(x77811,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f868(x77813,x77811,x77812)))+P107(f331(f331(f239(a1),f867(x77813,x77811,x77812)),f2(a1)))
% 204.32/204.32 [7782]P148(x77822,x77821,x77823)+E(x77821,f2(a1))+P107(f331(f331(f239(a1),f2(a1)),f875(x77823,x77821,x77822)))+P107(f331(f331(f239(a1),f874(x77823,x77821,x77822)),f2(a1)))
% 204.32/204.32 [7783]~P90(x77831)+~P107(f331(f331(f239(x77831),x77833),f2(x77831)))+~P107(f331(f331(f239(x77831),x77832),f2(x77831)))+P107(f331(f331(f239(x77831),f331(f331(f80(x77831),x77832),x77833)),f2(x77831)))
% 204.32/204.32 [7784]~P144(x77841)+~P107(f331(f331(f333(x77841),x77843),f113(x77841)))+~P107(f331(f331(f333(x77841),x77842),f113(x77841)))+P107(f331(f331(f333(x77841),f331(f331(f23(x77841),x77842),x77843)),f113(x77841)))
% 204.32/204.32 [7785]~P144(x77851)+~P107(f331(f331(f333(x77851),x77853),f113(x77851)))+~P107(f331(f331(f333(x77851),x77852),f113(x77851)))+P107(f331(f331(f333(x77851),f331(f331(f81(x77851),x77852),x77853)),f113(x77851)))
% 204.32/204.32 [7786]~P147(x77861)+~P107(f331(f331(f333(x77861),x77863),f190(x77861)))+~P107(f331(f331(f333(x77861),x77862),f190(x77861)))+P107(f331(f331(f333(x77861),f331(f331(f81(x77861),x77862),x77863)),f190(x77861)))
% 204.32/204.32 [7787]~P144(x77871)+~P107(f331(f331(f333(x77871),x77873),f113(x77871)))+~P107(f331(f331(f333(x77871),x77872),f113(x77871)))+P107(f331(f331(f333(x77871),f331(f331(f80(x77871),x77872),x77873)),f113(x77871)))
% 204.32/204.32 [7788]~P147(x77881)+~P107(f331(f331(f333(x77881),x77883),f190(x77881)))+~P107(f331(f331(f333(x77881),x77882),f190(x77881)))+P107(f331(f331(f333(x77881),f331(f331(f80(x77881),x77882),x77883)),f190(x77881)))
% 204.32/204.32 [7789]~P90(x77891)+~P107(f331(f331(f239(x77891),x77893),f2(x77891)))+~P107(f331(f331(f240(x77891),x77892),f2(x77891)))+P107(f331(f331(f240(x77891),f331(f331(f80(x77891),x77892),x77893)),f2(x77891)))
% 204.32/204.32 [7790]~P90(x77901)+~P107(f331(f331(f239(x77901),x77902),f2(x77901)))+~P107(f331(f331(f240(x77901),x77903),f2(x77901)))+P107(f331(f331(f240(x77901),f331(f331(f80(x77901),x77902),x77903)),f2(x77901)))
% 204.32/204.32 [7791]~P90(x77911)+~P107(f331(f331(f240(x77911),x77913),f2(x77911)))+~P107(f331(f331(f240(x77911),x77912),f2(x77911)))+P107(f331(f331(f240(x77911),f331(f331(f80(x77911),x77912),x77913)),f2(x77911)))
% 204.32/204.32 [7818]P149(x78183,x78181,x78182)+E(x78181,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x78181),f869(x78182,x78181,x78183))),f868(x78182,x78181,x78183)),x78182)+P107(f331(f331(f240(a1),x78181),f2(a1)))
% 204.32/204.32 [7819]P148(x78193,x78191,x78192)+E(x78191,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x78191),f876(x78192,x78191,x78193))),f875(x78192,x78191,x78193)),x78192)+P107(f331(f331(f240(a1),x78191),f2(a1)))
% 204.32/204.32 [7900]P148(x79001,x79002,x79003)+~P107(f331(x79001,x79003))+P107(f331(f331(f239(a1),f2(a1)),f875(x79003,x79002,x79001)))+P107(f331(f331(f239(a1),f874(x79003,x79002,x79001)),f2(a1)))
% 204.32/204.32 [7931]P149(x79311,x79312,x79313)+P107(f331(f331(f239(a1),f2(a1)),f868(x79313,x79312,x79311)))+~P107(f331(x79311,f2(a1)))+P107(f331(f331(f239(a1),f867(x79313,x79312,x79311)),f2(a1)))
% 204.32/204.32 [7940]P148(x79403,x79401,x79402)+~P107(f331(x79403,x79402))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79401),f876(x79402,x79401,x79403))),f875(x79402,x79401,x79403)),x79402)+P107(f331(f331(f240(a1),x79401),f2(a1)))
% 204.32/204.32 [7946]P149(x79462,x79461,x79463)+E(x79461,f2(a1))+~P107(f331(x79462,f869(x79463,x79461,x79462)))+P107(f331(f331(f239(a1),f867(x79463,x79461,x79462)),f2(a1)))
% 204.32/204.32 [7947]P148(x79472,x79471,x79473)+E(x79471,f2(a1))+~P107(f331(x79472,f875(x79473,x79471,x79472)))+P107(f331(f331(f239(a1),f874(x79473,x79471,x79472)),f2(a1)))
% 204.32/204.32 [7952]P149(x79523,x79521,x79522)+E(f331(f331(f80(a1),f331(f331(f81(a1),x79521),f869(x79522,x79521,x79523))),f868(x79522,x79521,x79523)),x79522)+~P107(f331(x79523,f2(a1)))+P107(f331(f331(f240(a1),x79521),f2(a1)))
% 204.32/204.32 [8009]P148(x80091,x80092,x80093)+~P107(f331(x80091,x80093))+~P107(f331(x80091,f875(x80093,x80092,x80091)))+P107(f331(f331(f239(a1),f874(x80093,x80092,x80091)),f2(a1)))
% 204.32/204.32 [8013]P149(x80131,x80132,x80133)+~P107(f331(x80131,f869(x80133,x80132,x80131)))+~P107(f331(x80131,f2(a1)))+P107(f331(f331(f239(a1),f867(x80133,x80132,x80131)),f2(a1)))
% 204.32/204.32 [8083]~P129(x80831)+~P107(f331(f331(f239(x80831),f331(f331(f81(x80831),x80833),x80832)),f2(x80831)))+P107(f331(f331(f239(x80831),x80832),f2(x80831)))+P107(f331(f331(f239(x80831),x80833),f2(x80831)))
% 204.32/204.32 [8084]~P66(x80841)+~P107(f331(f331(f239(x80841),f331(f331(f294(x80841),x80843),x80842)),f2(x80841)))+P107(f331(f331(f239(x80841),x80842),f2(x80841)))+P107(f331(f331(f239(x80841),x80843),f2(x80841)))
% 204.32/204.32 [8085]~P66(x80851)+~P107(f331(f331(f240(x80851),f331(f331(f294(x80851),x80853),x80852)),f2(x80851)))+P107(f331(f331(f240(x80851),x80852),f2(x80851)))+P107(f331(f331(f240(x80851),x80853),f2(x80851)))
% 204.32/204.32 [8197]P149(x81973,x81971,x81972)+E(x81971,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x81971),f869(x81972,x81971,x81973))),f868(x81972,x81971,x81973)),x81972)+P107(f331(f331(f240(a1),x81971),f867(x81972,x81971,x81973)))
% 204.32/204.32 [8198]P148(x81983,x81981,x81982)+E(x81981,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x81981),f876(x81982,x81981,x81983))),f875(x81982,x81981,x81983)),x81982)+P107(f331(f331(f240(a1),x81981),f874(x81982,x81981,x81983)))
% 204.32/204.32 [8210]P149(x82103,x82101,x82102)+E(x82101,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82101),f873(x82102,x82101,x82103))),f867(x82102,x82101,x82103)),x82102)+P107(f331(f331(f239(a1),f2(a1)),f868(x82102,x82101,x82103)))
% 204.32/204.32 [8211]P148(x82113,x82111,x82112)+E(x82111,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82111),f877(x82112,x82111,x82113))),f874(x82112,x82111,x82113)),x82112)+P107(f331(f331(f239(a1),f2(a1)),f875(x82112,x82111,x82113)))
% 204.32/204.32 [8256]P148(x82563,x82561,x82562)+~P107(f331(x82563,x82562))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82561),f876(x82562,x82561,x82563))),f875(x82562,x82561,x82563)),x82562)+P107(f331(f331(f240(a1),x82561),f874(x82562,x82561,x82563)))
% 204.32/204.32 [8268]P149(x82683,x82681,x82682)+E(f331(f331(f80(a1),f331(f331(f81(a1),x82681),f869(x82682,x82681,x82683))),f868(x82682,x82681,x82683)),x82682)+P107(f331(f331(f240(a1),x82681),f867(x82682,x82681,x82683)))+~P107(f331(x82683,f2(a1)))
% 204.32/204.32 [8274]P148(x82743,x82741,x82742)+~P107(f331(x82743,x82742))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82741),f877(x82742,x82741,x82743))),f874(x82742,x82741,x82743)),x82742)+P107(f331(f331(f239(a1),f2(a1)),f875(x82742,x82741,x82743)))
% 204.32/204.32 [8280]P149(x82803,x82801,x82802)+E(f331(f331(f80(a1),f331(f331(f81(a1),x82801),f873(x82802,x82801,x82803))),f867(x82802,x82801,x82803)),x82802)+P107(f331(f331(f239(a1),f2(a1)),f868(x82802,x82801,x82803)))+~P107(f331(x82803,f2(a1)))
% 204.32/204.32 [8291]P149(x82913,x82911,x82912)+E(x82911,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82911),f869(x82912,x82911,x82913))),f868(x82912,x82911,x82913)),x82912)+~P107(f331(x82913,f873(x82912,x82911,x82913)))
% 204.32/204.32 [8292]P148(x82923,x82921,x82922)+E(x82921,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82921),f876(x82922,x82921,x82923))),f875(x82922,x82921,x82923)),x82922)+~P107(f331(x82923,f874(x82922,x82921,x82923)))
% 204.32/204.32 [8293]P149(x82933,x82931,x82932)+E(x82931,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82931),f873(x82932,x82931,x82933))),f867(x82932,x82931,x82933)),x82932)+~P107(f331(x82933,f869(x82932,x82931,x82933)))
% 204.32/204.32 [8294]P148(x82943,x82941,x82942)+E(x82941,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82941),f877(x82942,x82941,x82943))),f874(x82942,x82941,x82943)),x82942)+~P107(f331(x82943,f875(x82942,x82941,x82943)))
% 204.32/204.32 [8352]P148(x83523,x83521,x83522)+~P107(f331(x83523,x83522))+E(f331(f331(f80(a1),f331(f331(f81(a1),x83521),f876(x83522,x83521,x83523))),f875(x83522,x83521,x83523)),x83522)+~P107(f331(x83523,f874(x83522,x83521,x83523)))
% 204.32/204.32 [8353]P148(x83533,x83531,x83532)+~P107(f331(x83533,x83532))+E(f331(f331(f80(a1),f331(f331(f81(a1),x83531),f877(x83532,x83531,x83533))),f874(x83532,x83531,x83533)),x83532)+~P107(f331(x83533,f875(x83532,x83531,x83533)))
% 204.32/204.32 [8363]P149(x83633,x83631,x83632)+E(f331(f331(f80(a1),f331(f331(f81(a1),x83631),f869(x83632,x83631,x83633))),f868(x83632,x83631,x83633)),x83632)+~P107(f331(x83633,f873(x83632,x83631,x83633)))+~P107(f331(x83633,f2(a1)))
% 204.32/204.32 [8364]P149(x83643,x83641,x83642)+E(f331(f331(f80(a1),f331(f331(f81(a1),x83641),f873(x83642,x83641,x83643))),f867(x83642,x83641,x83643)),x83642)+~P107(f331(x83643,f869(x83642,x83641,x83643)))+~P107(f331(x83643,f2(a1)))
% 204.32/204.32 [8463]P149(x84633,x84631,x84632)+E(x84631,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x84631),f869(x84632,x84631,x84633))),f868(x84632,x84631,x84633)),x84632)+P107(f331(f331(f239(a1),f867(x84632,x84631,x84633)),f2(a1)))
% 204.32/204.32 [8464]P148(x84643,x84641,x84642)+E(x84641,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x84641),f876(x84642,x84641,x84643))),f875(x84642,x84641,x84643)),x84642)+P107(f331(f331(f239(a1),f874(x84642,x84641,x84643)),f2(a1)))
% 204.32/204.32 [8503]P148(x85033,x85031,x85032)+~P107(f331(x85033,x85032))+E(f331(f331(f80(a1),f331(f331(f81(a1),x85031),f876(x85032,x85031,x85033))),f875(x85032,x85031,x85033)),x85032)+P107(f331(f331(f239(a1),f874(x85032,x85031,x85033)),f2(a1)))
% 204.32/204.32 [8508]P149(x85083,x85081,x85082)+E(f331(f331(f80(a1),f331(f331(f81(a1),x85081),f869(x85082,x85081,x85083))),f868(x85082,x85081,x85083)),x85082)+~P107(f331(x85083,f2(a1)))+P107(f331(f331(f239(a1),f867(x85082,x85081,x85083)),f2(a1)))
% 204.32/204.32 [8641]P149(x86413,x86411,x86412)+E(x86411,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x86411),f873(x86412,x86411,x86413))),f867(x86412,x86411,x86413)),x86412)+E(f331(f331(f80(a1),f331(f331(f81(a1),x86411),f869(x86412,x86411,x86413))),f868(x86412,x86411,x86413)),x86412)
% 204.32/204.32 [8642]P148(x86423,x86421,x86422)+E(x86421,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x86421),f877(x86422,x86421,x86423))),f874(x86422,x86421,x86423)),x86422)+E(f331(f331(f80(a1),f331(f331(f81(a1),x86421),f876(x86422,x86421,x86423))),f875(x86422,x86421,x86423)),x86422)
% 204.32/204.32 [8665]P148(x86653,x86651,x86652)+~P107(f331(x86653,x86652))+E(f331(f331(f80(a1),f331(f331(f81(a1),x86651),f877(x86652,x86651,x86653))),f874(x86652,x86651,x86653)),x86652)+E(f331(f331(f80(a1),f331(f331(f81(a1),x86651),f876(x86652,x86651,x86653))),f875(x86652,x86651,x86653)),x86652)
% 204.32/204.32 [8677]P149(x86773,x86771,x86772)+E(f331(f331(f80(a1),f331(f331(f81(a1),x86771),f873(x86772,x86771,x86773))),f867(x86772,x86771,x86773)),x86772)+E(f331(f331(f80(a1),f331(f331(f81(a1),x86771),f869(x86772,x86771,x86773))),f868(x86772,x86771,x86773)),x86772)+~P107(f331(x86773,f2(a1)))
% 204.32/204.32 [9352]~P129(x93521)+~E(x93523,f2(x93521))+~E(x93522,f2(x93521))+P107(f331(f331(f239(x93521),f331(f331(f80(x93521),f331(f331(f81(x93521),x93522),x93522)),f331(f331(f81(x93521),x93523),x93523))),f2(x93521)))
% 204.32/204.32 [10428]~P114(x104281)+~E(x104283,f2(x104281))+~E(x104282,f2(x104281))+P107(f331(f331(f239(x104281),f331(f331(f80(x104281),f331(f331(f248(x104281),x104282),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x104281),x104283),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x104281)))
% 204.32/204.32 [5050]~E(x50503,x50501)+~P124(x50502)+E(x50501,f2(x50502))+E(f331(f331(f294(x50502),x50503),x50501),f78(x50502))
% 204.32/204.32 [5103]~P80(x51031)+~E(x51033,f192(x51031))+~E(x51032,f192(x51031))+E(f331(f331(f114(x51031),x51032),x51033),f192(x51031))
% 204.32/204.32 [5104]~P101(x51041)+~E(x51043,f246(x51041))+~E(x51042,f246(x51041))+E(f331(f331(f105(x51041),x51042),x51043),f246(x51041))
% 204.32/204.32 [5197]~P124(x51973)+E(x51971,x51972)+E(x51972,f2(x51973))+~E(f331(f331(f294(x51973),x51971),x51972),f78(x51973))
% 204.32/204.32 [5214]~P142(x52142)+E(x52141,f2(x52142))+E(x52143,f2(x52142))+~E(f331(f331(f81(x52142),x52143),x52141),f2(x52142))
% 204.32/204.32 [5216]~P135(x52162)+E(x52161,f2(x52162))+E(x52163,f2(x52162))+~E(f331(f331(f81(x52162),x52163),x52161),f2(x52162))
% 204.32/204.32 [5595]~P122(x55953)+E(x55951,x55952)+E(x55951,f331(f79(x55953),x55952))+~E(f331(f331(f81(x55953),x55951),x55951),f331(f331(f81(x55953),x55952),x55952))
% 204.32/204.32 [5633]~P97(x56331)+E(f331(f79(x56331),x56332),x56333)+~E(f331(f331(f114(x56331),x56332),x56333),f246(x56331))+~E(f331(f331(f105(x56331),x56332),x56333),f192(x56331))
% 204.32/204.32 [5712]~P114(x57123)+E(x57121,x57122)+P107(f331(f331(f240(x57123),x57122),x57121))+P107(f331(f331(f240(x57123),x57121),x57122))
% 204.32/204.32 [5713]~P109(x57133)+E(x57131,x57132)+P107(f331(f331(f240(x57133),x57132),x57131))+P107(f331(f331(f240(x57133),x57131),x57132))
% 204.32/204.32 [5714]~E(x57142,x57143)+~P109(x57141)+P107(f331(f331(f240(x57141),x57142),x57143))+P107(f331(f331(f239(x57141),x57142),x57143))
% 204.32/204.32 [5973]~P111(x59733)+E(x59731,x59732)+~P107(f331(f331(f239(x59733),x59732),x59731))+P107(f331(f331(f240(x59733),x59732),x59731))
% 204.32/204.32 [5975]~P109(x59753)+E(x59751,x59752)+~P107(f331(f331(f239(x59753),x59751),x59752))+P107(f331(f331(f240(x59753),x59751),x59752))
% 204.32/204.32 [5981]~P111(x59813)+E(x59811,x59812)+~P107(f331(f331(f239(x59813),x59811),x59812))+P107(f331(f331(f240(x59813),x59811),x59812))
% 204.32/204.32 [6086]P148(x60861,x60862,x60863)+~P107(f331(x60861,x60863))+P107(f331(f331(f240(a1),x60862),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x60862))
% 204.32/204.32 [6136]P149(x61361,x61362,x61363)+~P107(f331(x61361,f2(a1)))+P107(f331(f331(f240(a1),x61362),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x61362))
% 204.32/204.32 [6141]~P79(x61411)+E(f331(f331(f114(x61411),x61412),f11(x61411,x61413)),x61412)+~P107(f331(f61(x61411),x61413))+~P107(f331(f331(f333(x61411),x61412),x61413))
% 204.32/204.32 [6142]~P79(x61421)+E(f331(f331(f105(x61421),x61422),f10(x61421,x61423)),x61422)+~P107(f331(f61(x61421),x61423))+~P107(f331(f331(f333(x61421),x61422),x61423))
% 204.32/204.32 [6179]~P79(x61791)+E(f331(f331(f114(x61791),x61792),f10(x61791,x61793)),f10(x61791,x61793))+~P107(f331(f61(x61791),x61793))+~P107(f331(f331(f333(x61791),x61792),x61793))
% 204.32/204.32 [6180]~P79(x61801)+E(f331(f331(f105(x61801),x61802),f11(x61801,x61803)),f11(x61801,x61803))+~P107(f331(f61(x61801),x61803))+~P107(f331(f331(f333(x61801),x61802),x61803))
% 204.32/204.32 [6181]~P109(x61811)+E(f331(f331(f237(x61811),x61812),f14(x61811,x61813)),f14(x61811,x61813))+~P107(f331(f61(x61811),x61813))+~P107(f331(f331(f333(x61811),x61812),x61813))
% 204.32/204.32 [6182]~P109(x61821)+E(f331(f331(f238(x61821),x61822),f15(x61821,x61823)),f15(x61821,x61823))+~P107(f331(f61(x61821),x61823))+~P107(f331(f331(f333(x61821),x61822),x61823))
% 204.32/204.32 [6224]E(x62241,x62242)+~P111(x62243)+~P107(f331(f331(f239(x62243),x62242),x62241))+~P107(f331(f331(f239(x62243),x62241),x62242))
% 204.32/204.32 [6368]~P108(x63681)+P107(f331(f331(f240(x63681),x63683),x63682))+~P107(f331(f331(f239(x63681),x63683),x63682))+P107(f331(f331(f239(x63681),x63682),x63683))
% 204.32/204.32 [6394]~P109(x63941)+~P107(f331(f61(x63941),x63943))+P107(f331(f331(f239(x63941),x63942),f15(x63941,x63943)))+~P107(f331(f331(f333(x63941),x63942),x63943))
% 204.32/204.32 [6440]~P109(x64401)+E(f331(f331(f237(x64401),x64402),f12(x64401,f238(x64401),x64403)),x64402)+~P107(f331(f61(x64401),x64403))+~P107(f331(f331(f333(x64401),x64402),x64403))
% 204.32/204.32 [6441]~P109(x64411)+E(f331(f331(f238(x64411),x64412),f13(x64411,f237(x64411),x64413)),x64412)+~P107(f331(f61(x64411),x64413))+~P107(f331(f331(f333(x64411),x64412),x64413))
% 204.32/204.32 [6583]E(x65831,x65832)+~E(f331(f331(f23(a927),x65831),x65833),f331(f331(f23(a927),x65832),x65833))+~P107(f331(f331(f239(a927),x65833),x65831))+~P107(f331(f331(f239(a927),x65833),x65832))
% 204.32/204.32 [6609]~P109(x66091)+~P107(f331(f61(x66091),x66092))+~P107(f331(f331(f333(x66091),x66093),x66092))+P107(f331(f331(f239(x66091),f14(x66091,x66092)),x66093))
% 204.32/204.32 [6674]P149(x66742,x66741,x66743)+E(x66741,f2(a1))+P107(f331(f331(f240(a1),x66741),f867(x66743,x66741,x66742)))+P107(f331(f331(f240(a1),f2(a1)),x66741))
% 204.32/204.32 [6675]P148(x66752,x66751,x66753)+E(x66751,f2(a1))+P107(f331(f331(f240(a1),x66751),f874(x66753,x66751,x66752)))+P107(f331(f331(f240(a1),f2(a1)),x66751))
% 204.32/204.32 [6676]~P109(x66761)+E(f331(f331(f237(x66761),x66762),f13(x66761,f237(x66761),x66763)),f13(x66761,f237(x66761),x66763))+~P107(f331(f61(x66761),x66763))+~P107(f331(f331(f333(x66761),x66762),x66763))
% 204.32/204.32 [6677]~P109(x66771)+E(f331(f331(f238(x66771),x66772),f12(x66771,f238(x66771),x66773)),f12(x66771,f238(x66771),x66773))+~P107(f331(f61(x66771),x66773))+~P107(f331(f331(f333(x66771),x66772),x66773))
% 204.32/204.32 [6682]~P107(f331(x66821,x66822))+P107(f331(x66821,f495(x66822,x66821,x66823)))+P107(f331(x66821,f2(a927)))+~P107(f331(f331(f240(a927),x66822),x66823))
% 204.32/204.32 [6738]~P107(f331(x67381,x67382))+~P107(f331(f61(x67383),x67382))+P107(f331(x67381,f555(x67381,x67382,x67383)))+P107(f331(x67381,f192(f935(x67383,a923))))
% 204.32/204.32 [6751]~P114(x67511)+~P95(x67511)+P107(f331(f331(f239(x67511),f331(f107(x67511),x67512)),f331(f107(x67511),x67513)))+~P107(f331(f331(f239(a1),x67512),x67513))
% 204.32/204.32 [6752]~P114(x67521)+~P95(x67521)+P107(f331(f331(f240(x67521),f331(f107(x67521),x67522)),f331(f107(x67521),x67523)))+~P107(f331(f331(f240(a1),x67522),x67523))
% 204.32/204.32 [6755]~P107(f331(x67551,x67553))+~P107(f331(f61(x67552),x67553))+P107(f331(f61(x67552),f555(x67551,x67553,x67552)))+P107(f331(x67551,f192(f935(x67552,a923))))
% 204.32/204.32 [6788]P148(x67881,x67882,x67883)+~P107(f331(x67881,x67883))+P107(f331(f331(f240(a1),x67882),f874(x67883,x67882,x67881)))+P107(f331(f331(f240(a1),f2(a1)),x67882))
% 204.32/204.32 [6825]P149(x68251,x68252,x68253)+P107(f331(f331(f240(a1),x68252),f867(x68253,x68252,x68251)))+~P107(f331(x68251,f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x68252))
% 204.32/204.32 [6855]~P110(x68551)+~P96(x68551)+E(f331(f331(f237(x68551),f331(f107(x68551),x68552)),f331(f107(x68551),x68553)),f331(f107(x68551),x68553))+P107(f331(f331(f239(x68551),f331(f107(x68551),x68552)),f331(f107(x68551),x68553)))
% 204.32/204.32 [6856]~P110(x68561)+~P96(x68561)+E(f331(f331(f238(x68561),f331(f107(x68561),x68562)),f331(f107(x68561),x68563)),f331(f107(x68561),x68562))+P107(f331(f331(f239(x68561),f331(f107(x68561),x68562)),f331(f107(x68561),x68563)))
% 204.32/204.32 [6912]P149(x69122,x69121,x69123)+E(x69121,f2(a1))+~P107(f331(x69122,f873(x69123,x69121,x69122)))+P107(f331(f331(f240(a1),f2(a1)),x69121))
% 204.32/204.32 [6913]P148(x69132,x69131,x69133)+E(x69131,f2(a1))+~P107(f331(x69132,f874(x69133,x69131,x69132)))+P107(f331(f331(f240(a1),f2(a1)),x69131))
% 204.32/204.32 [6917]P107(f331(x69171,x69172))+~P107(f331(f61(x69173),x69172))+P107(f331(x69171,f643(x69171,x69172,x69173)))+~P107(f331(x69171,f192(f935(x69173,a923))))
% 204.32/204.32 [6935]~P61(x69351)+~P96(x69351)+~E(f45(x69351,f331(f107(x69351),x69353),f331(f107(x69351),x69352)),f2(x69351))+P107(f331(f331(f291(x69351),f331(f107(x69351),x69352)),f331(f107(x69351),x69353)))
% 204.32/204.32 [6939]P107(f331(x69391,x69392))+P107(f331(f61(x69393),f643(x69391,x69392,x69393)))+~P107(f331(f61(x69393),x69392))+~P107(f331(x69391,f192(f935(x69393,a923))))
% 204.32/204.32 [7002]P148(x70021,x70022,x70023)+~P107(f331(x70021,x70023))+~P107(f331(x70021,f874(x70023,x70022,x70021)))+P107(f331(f331(f240(a1),f2(a1)),x70022))
% 204.32/204.32 [7032]P149(x70321,x70322,x70323)+~P107(f331(x70321,f873(x70323,x70322,x70321)))+~P107(f331(x70321,f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x70322))
% 204.32/204.32 [7136]~P95(x71363)+~P114(x71363)+~P107(f331(f331(f239(x71363),f331(f107(x71363),x71361)),f331(f107(x71363),x71362)))+P107(f331(f331(f239(a1),x71361),x71362))
% 204.32/204.32 [7137]~P95(x71373)+~P114(x71373)+~P107(f331(f331(f240(x71373),f331(f107(x71373),x71371)),f331(f107(x71373),x71372)))+P107(f331(f331(f240(a1),x71371),x71372))
% 204.32/204.32 [7167]~P109(x71671)+~P12(x71671,x71673)+P12(x71671,f331(f331(f155(x71671),x71672),x71673))+~P107(f331(f331(f239(x71671),x71672),f719(x71673,x71672,x71671)))
% 204.32/204.32 [7168]~P109(x71681)+~P12(x71681,x71683)+P12(x71681,f331(f331(f155(x71681),x71682),x71683))+~P107(f331(f331(f239(x71681),x71682),f721(x71683,x71682,x71681)))
% 204.32/204.32 [7169]~P109(x71691)+~P12(x71691,x71693)+P12(x71691,f331(f331(f155(x71691),x71692),x71693))+~P107(f331(f331(f239(x71691),x71692),f759(x71692,x71693,x71691)))
% 204.32/204.32 [7240]~P61(x72401)+~P96(x72401)+E(f45(x72401,f331(f107(x72401),x72402),f331(f107(x72401),x72403)),f2(x72401))+~P107(f331(f331(f291(x72401),f331(f107(x72401),x72403)),f331(f107(x72401),x72402)))
% 204.32/204.32 [7254]P149(x72542,x72541,x72543)+E(x72541,f2(a1))+P107(f331(f331(f240(a1),x72541),f2(a1)))+P107(f331(f331(f240(a1),f868(x72543,x72541,x72542)),x72541))
% 204.32/204.32 [7255]P148(x72552,x72551,x72553)+E(x72551,f2(a1))+P107(f331(f331(f240(a1),x72551),f2(a1)))+P107(f331(f331(f240(a1),f875(x72553,x72551,x72552)),x72551))
% 204.32/204.32 [7293]P149(x72932,x72931,x72933)+E(x72931,f2(a1))+P107(f331(f331(f239(a1),f867(x72933,x72931,x72932)),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x72931))
% 204.32/204.32 [7294]P148(x72942,x72941,x72943)+E(x72941,f2(a1))+P107(f331(f331(f239(a1),f874(x72943,x72941,x72942)),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x72941))
% 204.32/204.32 [7319]~P109(x73191)+~P12(x73191,x73193)+E(f331(f331(f152(x73191,x73191,f5(x73191)),x73192),f174(x73191,x73192,x73193)),x73193)+~P107(f331(f331(f333(x73191),x73192),f331(f176(x73191),x73193)))
% 204.32/204.32 [7366]P148(x73661,x73662,x73663)+~P107(f331(x73661,x73663))+P107(f331(f331(f240(a1),x73662),f2(a1)))+P107(f331(f331(f240(a1),f875(x73663,x73662,x73661)),x73662))
% 204.32/204.32 [7372]~P110(x73721)+~P96(x73721)+E(f331(f331(f237(x73721),f331(f107(x73721),x73722)),f331(f107(x73721),x73723)),f331(f107(x73721),x73722))+~P107(f331(f331(f239(x73721),f331(f107(x73721),x73722)),f331(f107(x73721),x73723)))
% 204.32/204.32 [7373]~P110(x73731)+~P96(x73731)+E(f331(f331(f238(x73731),f331(f107(x73731),x73732)),f331(f107(x73731),x73733)),f331(f107(x73731),x73733))+~P107(f331(f331(f239(x73731),f331(f107(x73731),x73732)),f331(f107(x73731),x73733)))
% 204.32/204.32 [7387]P149(x73871,x73872,x73873)+~P107(f331(x73871,f2(a1)))+P107(f331(f331(f240(a1),x73872),f2(a1)))+P107(f331(f331(f240(a1),f868(x73873,x73872,x73871)),x73872))
% 204.32/204.32 [7395]P148(x73951,x73952,x73953)+~P107(f331(x73951,x73953))+P107(f331(f331(f239(a1),f874(x73953,x73952,x73951)),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x73952))
% 204.32/204.32 [7419]P149(x74191,x74192,x74193)+~P107(f331(x74191,f2(a1)))+P107(f331(f331(f239(a1),f867(x74193,x74192,x74191)),f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x74192))
% 204.32/204.32 [7447]~P107(f331(x74471,x74472))+P107(f331(x74471,f2(a927)))+~P107(f331(f331(f240(a927),x74472),x74473))+P107(f331(f331(f240(a927),f495(x74472,x74471,x74473)),x74473))
% 204.32/204.32 [7464]~P109(x74641)+~P12(x74641,x74643)+P12(x74641,f331(f331(f155(x74641),x74642),x74643))+P107(f331(f331(f333(x74641),f719(x74643,x74642,x74641)),f331(f176(x74641),x74643)))
% 204.32/204.32 [7465]~P109(x74651)+~P12(x74651,x74653)+P12(x74651,f331(f331(f155(x74651),x74652),x74653))+P107(f331(f331(f333(x74651),f721(x74653,x74652,x74651)),f331(f176(x74651),x74653)))
% 204.32/204.32 [7466]~P109(x74661)+~P12(x74661,x74663)+P12(x74661,f331(f331(f155(x74661),x74662),x74663))+P107(f331(f331(f333(x74661),f759(x74662,x74663,x74661)),f331(f176(x74661),x74663)))
% 204.32/204.32 [7578]~P109(x75781)+~P4(x75781)+~P107(f331(f331(f240(x75781),x75783),f37(x75781,x75782)))+P107(f331(f331(f333(x75781),f884(x75782,x75783,x75781)),x75782))
% 204.32/204.32 [7736]~P109(x77361)+~P4(x77361)+~P107(f331(f331(f240(x77361),f38(x77361,x77363)),x77362))+P107(f331(f331(f333(x77361),f371(x77362,x77363,x77361)),x77363))
% 204.32/204.32 [7737]~P109(x77371)+~P4(x77371)+~P107(f331(f331(f240(x77371),f38(x77371,x77373)),x77372))+P107(f331(f331(f240(x77371),f371(x77372,x77373,x77371)),x77372))
% 204.32/204.32 [7749]P149(x77492,x77491,x77493)+E(x77491,f2(a1))+P107(f331(f331(f240(a1),x77491),f867(x77493,x77491,x77492)))+P107(f331(f331(f240(a1),f868(x77493,x77491,x77492)),x77491))
% 204.32/204.32 [7750]P148(x77502,x77501,x77503)+E(x77501,f2(a1))+P107(f331(f331(f240(a1),x77501),f874(x77503,x77501,x77502)))+P107(f331(f331(f240(a1),f875(x77503,x77501,x77502)),x77501))
% 204.32/204.32 [7839]P149(x78393,x78391,x78392)+E(x78391,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x78391),f873(x78392,x78391,x78393))),f867(x78392,x78391,x78393)),x78392)+P107(f331(f331(f240(a1),f2(a1)),x78391))
% 204.32/204.32 [7840]P148(x78403,x78401,x78402)+E(x78401,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x78401),f877(x78402,x78401,x78403))),f874(x78402,x78401,x78403)),x78402)+P107(f331(f331(f240(a1),f2(a1)),x78401))
% 204.32/204.32 [7842]~P129(x78421)+~P107(f331(f331(f239(x78421),x78423),f2(x78421)))+P107(f331(f331(f239(x78421),f331(f331(f81(x78421),x78422),x78423)),f2(x78421)))+~P107(f331(f331(f239(x78421),f2(x78421)),x78422))
% 204.32/204.32 [7843]~P129(x78431)+~P107(f331(f331(f239(x78431),x78432),f2(x78431)))+P107(f331(f331(f239(x78431),f331(f331(f81(x78431),x78432),x78433)),f2(x78431)))+~P107(f331(f331(f239(x78431),f2(x78431)),x78433))
% 204.32/204.32 [7845]~P136(x78451)+~P107(f331(f331(f239(x78451),x78453),f2(x78451)))+P107(f331(f331(f239(x78451),f331(f331(f81(x78451),x78452),x78453)),f2(x78451)))+~P107(f331(f331(f239(x78451),f2(x78451)),x78452))
% 204.32/204.32 [7847]~P136(x78471)+~P107(f331(f331(f239(x78471),x78472),f2(x78471)))+P107(f331(f331(f239(x78471),f331(f331(f81(x78471),x78472),x78473)),f2(x78471)))+~P107(f331(f331(f239(x78471),f2(x78471)),x78473))
% 204.32/204.32 [7848]~P66(x78481)+~P107(f331(f331(f239(x78481),x78483),f2(x78481)))+P107(f331(f331(f239(x78481),f331(f331(f294(x78481),x78482),x78483)),f2(x78481)))+~P107(f331(f331(f239(x78481),f2(x78481)),x78482))
% 204.32/204.32 [7849]~P66(x78491)+~P107(f331(f331(f239(x78491),x78492),f2(x78491)))+P107(f331(f331(f239(x78491),f331(f331(f294(x78491),x78492),x78493)),f2(x78491)))+~P107(f331(f331(f239(x78491),f2(x78491)),x78493))
% 204.32/204.32 [7850]~P67(x78501)+~P107(f331(f331(f239(x78501),x78502),f2(x78501)))+P107(f331(f331(f239(x78501),f331(f331(f294(x78501),x78502),x78503)),f2(x78501)))+~P107(f331(f331(f240(x78501),f2(x78501)),x78503))
% 204.32/204.32 [7851]~P67(x78511)+~P107(f331(f331(f240(x78511),x78513),f2(x78511)))+P107(f331(f331(f239(x78511),f331(f331(f294(x78511),x78512),x78513)),f2(x78511)))+~P107(f331(f331(f239(x78511),f2(x78511)),x78512))
% 204.32/204.32 [7853]~P131(x78531)+~P107(f331(f331(f240(x78531),x78533),f2(x78531)))+P107(f331(f331(f240(x78531),f331(f331(f81(x78531),x78532),x78533)),f2(x78531)))+~P107(f331(f331(f240(x78531),f2(x78531)),x78532))
% 204.32/204.32 [7854]~P131(x78541)+~P107(f331(f331(f240(x78541),x78542),f2(x78541)))+P107(f331(f331(f240(x78541),f331(f331(f81(x78541),x78542),x78543)),f2(x78541)))+~P107(f331(f331(f240(x78541),f2(x78541)),x78543))
% 204.32/204.32 [7855]~P66(x78551)+~P107(f331(f331(f240(x78551),x78553),f2(x78551)))+P107(f331(f331(f240(x78551),f331(f331(f294(x78551),x78552),x78553)),f2(x78551)))+~P107(f331(f331(f240(x78551),f2(x78551)),x78552))
% 204.32/204.32 [7856]~P66(x78561)+~P107(f331(f331(f240(x78561),x78562),f2(x78561)))+P107(f331(f331(f240(x78561),f331(f331(f294(x78561),x78562),x78563)),f2(x78561)))+~P107(f331(f331(f240(x78561),f2(x78561)),x78563))
% 204.32/204.32 [7857]~P67(x78571)+~P107(f331(f331(f240(x78571),x78573),f2(x78571)))+P107(f331(f331(f240(x78571),f331(f331(f294(x78571),x78572),x78573)),f2(x78571)))+~P107(f331(f331(f240(x78571),f2(x78571)),x78572))
% 204.32/204.32 [7858]~P67(x78581)+~P107(f331(f331(f240(x78581),x78582),f2(x78581)))+P107(f331(f331(f240(x78581),f331(f331(f294(x78581),x78582),x78583)),f2(x78581)))+~P107(f331(f331(f240(x78581),f2(x78581)),x78583))
% 204.32/204.32 [7873]P148(x78731,x78732,x78733)+~P107(f331(x78731,x78733))+P107(f331(f331(f240(a1),x78732),f874(x78733,x78732,x78731)))+P107(f331(f331(f240(a1),f875(x78733,x78732,x78731)),x78732))
% 204.32/204.32 [7886]P149(x78861,x78862,x78863)+P107(f331(f331(f240(a1),x78862),f867(x78863,x78862,x78861)))+~P107(f331(x78861,f2(a1)))+P107(f331(f331(f240(a1),f868(x78863,x78862,x78861)),x78862))
% 204.32/204.32 [7938]P149(x79382,x79381,x79383)+E(x79381,f2(a1))+~P107(f331(x79382,f873(x79383,x79381,x79382)))+P107(f331(f331(f240(a1),f868(x79383,x79381,x79382)),x79381))
% 204.32/204.32 [7939]P148(x79392,x79391,x79393)+E(x79391,f2(a1))+~P107(f331(x79392,f874(x79393,x79391,x79392)))+P107(f331(f331(f240(a1),f875(x79393,x79391,x79392)),x79391))
% 204.32/204.32 [7949]P148(x79493,x79491,x79492)+~P107(f331(x79493,x79492))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79491),f877(x79492,x79491,x79493))),f874(x79492,x79491,x79493)),x79492)+P107(f331(f331(f240(a1),f2(a1)),x79491))
% 204.32/204.32 [7965]P149(x79653,x79651,x79652)+E(f331(f331(f80(a1),f331(f331(f81(a1),x79651),f873(x79652,x79651,x79653))),f867(x79652,x79651,x79653)),x79652)+~P107(f331(x79653,f2(a1)))+P107(f331(f331(f240(a1),f2(a1)),x79651))
% 204.32/204.32 [7993]~P107(f331(x79931,x79933))+~P107(f331(f61(x79932),x79933))+P107(f331(f331(f333(x79932),f540(x79931,x79933,x79932)),f555(x79931,x79933,x79932)))+P107(f331(x79931,f192(f935(x79932,a923))))
% 204.32/204.32 [8004]P148(x80041,x80042,x80043)+~P107(f331(x80041,x80043))+~P107(f331(x80041,f874(x80043,x80042,x80041)))+P107(f331(f331(f240(a1),f875(x80043,x80042,x80041)),x80042))
% 204.32/204.32 [8010]P149(x80101,x80102,x80103)+~P107(f331(x80101,f873(x80103,x80102,x80101)))+~P107(f331(x80101,f2(a1)))+P107(f331(f331(f240(a1),f868(x80103,x80102,x80101)),x80102))
% 204.32/204.32 [8114]~P129(x81141)+~P107(f331(f331(f239(x81141),f331(f331(f81(x81141),x81143),x81142)),f2(x81141)))+P107(f331(f331(f239(x81141),x81142),f2(x81141)))+P107(f331(f331(f239(x81141),f2(x81141)),x81142))
% 204.32/204.32 [8115]~P129(x81151)+~P107(f331(f331(f239(x81151),f331(f331(f81(x81151),x81152),x81153)),f2(x81151)))+P107(f331(f331(f239(x81151),x81152),f2(x81151)))+P107(f331(f331(f239(x81151),f2(x81151)),x81152))
% 204.32/204.32 [8116]~P66(x81161)+~P107(f331(f331(f239(x81161),f331(f331(f294(x81161),x81163),x81162)),f2(x81161)))+P107(f331(f331(f239(x81161),x81162),f2(x81161)))+P107(f331(f331(f239(x81161),f2(x81161)),x81162))
% 204.32/204.32 [8117]~P66(x81171)+~P107(f331(f331(f239(x81171),f331(f331(f294(x81171),x81172),x81173)),f2(x81171)))+P107(f331(f331(f239(x81171),x81172),f2(x81171)))+P107(f331(f331(f239(x81171),f2(x81171)),x81172))
% 204.32/204.32 [8118]~P66(x81181)+~P107(f331(f331(f240(x81181),f331(f331(f294(x81181),x81183),x81182)),f2(x81181)))+P107(f331(f331(f240(x81181),x81182),f2(x81181)))+P107(f331(f331(f240(x81181),f2(x81181)),x81182))
% 204.32/204.32 [8119]~P66(x81191)+~P107(f331(f331(f240(x81191),f331(f331(f294(x81191),x81192),x81193)),f2(x81191)))+P107(f331(f331(f240(x81191),x81192),f2(x81191)))+P107(f331(f331(f240(x81191),f2(x81191)),x81192))
% 204.32/204.32 [8142]~P129(x81421)+~P107(f331(f331(f239(x81421),f331(f331(f81(x81421),x81422),x81423)),f2(x81421)))+P107(f331(f331(f239(x81421),f2(x81421)),x81422))+P107(f331(f331(f239(x81421),f2(x81421)),x81423))
% 204.32/204.32 [8143]~P66(x81431)+~P107(f331(f331(f239(x81431),f331(f331(f294(x81431),x81432),x81433)),f2(x81431)))+P107(f331(f331(f239(x81431),f2(x81431)),x81432))+P107(f331(f331(f239(x81431),f2(x81431)),x81433))
% 204.32/204.32 [8144]~P66(x81441)+~P107(f331(f331(f240(x81441),f331(f331(f294(x81441),x81442),x81443)),f2(x81441)))+P107(f331(f331(f240(x81441),f2(x81441)),x81442))+P107(f331(f331(f240(x81441),f2(x81441)),x81443))
% 204.32/204.32 [8166]P149(x81662,x81661,x81663)+E(x81661,f2(a1))+P107(f331(f331(f239(a1),f867(x81663,x81661,x81662)),f2(a1)))+P107(f331(f331(f240(a1),f868(x81663,x81661,x81662)),x81661))
% 204.32/204.32 [8167]P148(x81672,x81671,x81673)+E(x81671,f2(a1))+P107(f331(f331(f239(a1),f874(x81673,x81671,x81672)),f2(a1)))+P107(f331(f331(f240(a1),f875(x81673,x81671,x81672)),x81671))
% 204.32/204.32 [8174]~P127(x81741)+~P107(f331(f331(f240(x81741),x81742),f78(x81741)))+P107(f331(f331(f240(x81741),f331(f331(f248(x81741),x81742),f331(a116,x81743))),f78(x81741)))+~P107(f331(f331(f240(x81741),f2(x81741)),x81742))
% 204.32/204.32 [8227]~P109(x82271)+~E(x82273,f117(x82271))+~P12(x82271,f331(f172(x82271),x82273))+E(f331(f146(x82271,x82271,f331(f7(x82271,x82271,x82271),f238(x82271)),x82272),f331(f172(x82271),x82273)),x82272)
% 204.32/204.32 [8230]P148(x82301,x82302,x82303)+~P107(f331(x82301,x82303))+P107(f331(f331(f239(a1),f874(x82303,x82302,x82301)),f2(a1)))+P107(f331(f331(f240(a1),f875(x82303,x82302,x82301)),x82302))
% 204.32/204.32 [8240]P149(x82401,x82402,x82403)+~P107(f331(x82401,f2(a1)))+P107(f331(f331(f239(a1),f867(x82403,x82402,x82401)),f2(a1)))+P107(f331(f331(f240(a1),f868(x82403,x82402,x82401)),x82402))
% 204.32/204.32 [8458]P149(x84583,x84581,x84582)+E(x84581,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x84581),f873(x84582,x84581,x84583))),f867(x84582,x84581,x84583)),x84582)+P107(f331(f331(f240(a1),f868(x84582,x84581,x84583)),x84581))
% 204.32/204.32 [8459]P148(x84593,x84591,x84592)+E(x84591,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x84591),f877(x84592,x84591,x84593))),f874(x84592,x84591,x84593)),x84592)+P107(f331(f331(f240(a1),f875(x84592,x84591,x84593)),x84591))
% 204.32/204.32 [8494]P148(x84943,x84941,x84942)+~P107(f331(x84943,x84942))+E(f331(f331(f80(a1),f331(f331(f81(a1),x84941),f877(x84942,x84941,x84943))),f874(x84942,x84941,x84943)),x84942)+P107(f331(f331(f240(a1),f875(x84942,x84941,x84943)),x84941))
% 204.32/204.32 [8495]~P71(x84951)+~P72(x84951)+~P41(x84953)+E(f331(f331(f6(a927,x84951),f331(f331(f8(a1,x84951,a927),x84952),f104(a1))),f331(f314(a1,a927,a108),x84953)),f331(f331(f6(a1,x84951),x84952),x84953))
% 204.32/204.32 [8496]~P71(x84961)+~P72(x84961)+~P41(x84963)+E(f331(f331(f9(a927,x84961),f331(f331(f8(a1,x84961,a927),x84962),f104(a1))),f331(f314(a1,a927,a108),x84963)),f331(f331(f9(a1,x84961),x84962),x84963))
% 204.32/204.32 [8505]P149(x85053,x85051,x85052)+E(f331(f331(f80(a1),f331(f331(f81(a1),x85051),f873(x85052,x85051,x85053))),f867(x85052,x85051,x85053)),x85052)+~P107(f331(x85053,f2(a1)))+P107(f331(f331(f240(a1),f868(x85052,x85051,x85053)),x85051))
% 204.32/204.32 [8527]~E(x85272,f2(a927))+~E(f331(f255(a927,a927),x85273),f2(a927))+~E(x85271,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x85273)),x85272)),f331(f260(a927,a927),x85273)))+P107(f331(f48(x85271,x85272),x85273))
% 204.32/204.32 [8584]P107(f331(x85841,x85842))+~P107(f331(f331(f333(x85843),f623(x85841,x85842,x85843)),f643(x85841,x85842,x85843)))+~P107(f331(f61(x85843),x85842))+~P107(f331(x85841,f192(f935(x85843,a923))))
% 204.32/204.32 [9222]P107(f331(x92221,x92222))+~P107(f331(f61(x92223),x92222))+~P107(f331(x92221,f331(f331(f313(x92223),f623(x92221,x92222,x92223)),f643(x92221,x92222,x92223))))+~P107(f331(x92221,f192(f935(x92223,a923))))
% 204.32/204.32 [9457]P107(f331(f331(f239(a1),x94571),f2(a1)))+~P107(f331(f331(f240(a1),f331(f331(f80(a1),f331(f331(f81(a1),x94573),x94571)),x94572)),f2(a1)))+~P107(f331(f331(f239(a1),f2(a1)),x94572))+~P107(f331(f331(f240(a1),f2(a1)),x94573))
% 204.32/204.32 [6043]~P79(x60432)+E(x60431,f192(f935(x60432,a923)))+~P107(f331(f61(x60432),x60431))+E(f10(x60432,f331(f331(f313(x60432),x60433),x60431)),f331(f331(f114(x60432),x60433),f10(x60432,x60431)))
% 204.32/204.32 [6044]~P79(x60442)+E(x60441,f192(f935(x60442,a923)))+~P107(f331(f61(x60442),x60441))+E(f11(x60442,f331(f331(f313(x60442),x60443),x60441)),f331(f331(f105(x60442),x60443),f11(x60442,x60441)))
% 204.32/204.32 [6045]~P109(x60452)+E(x60451,f192(f935(x60452,a923)))+~P107(f331(f61(x60452),x60451))+E(f14(x60452,f331(f331(f313(x60452),x60453),x60451)),f331(f331(f237(x60452),x60453),f14(x60452,x60451)))
% 204.32/204.32 [6046]~P109(x60462)+E(x60461,f192(f935(x60462,a923)))+~P107(f331(f61(x60462),x60461))+E(f15(x60462,f331(f331(f313(x60462),x60463),x60461)),f331(f331(f238(x60462),x60463),f15(x60462,x60461)))
% 204.32/204.32 [6365]~P129(x63651)+~E(x63653,f2(x63651))+~E(x63652,f2(x63651))+E(f331(f331(f80(x63651),f331(f331(f81(x63651),x63652),x63652)),f331(f331(f81(x63651),x63653),x63653)),f2(x63651))
% 204.32/204.32 [6433]~P98(x64332)+E(x64331,f192(f935(x64332,a923)))+~P107(f331(f61(x64332),x64331))+E(f331(f63(x64332,f81(x64332)),f331(f331(f313(x64332),x64333),x64331)),f331(f331(f81(x64332),x64333),f331(f63(x64332,f81(x64332)),x64331)))
% 204.32/204.32 [6559]~P109(x65592)+E(x65591,f192(f935(x65592,a923)))+~P107(f331(f61(x65592),x65591))+E(f12(x65592,f238(x65592),f331(f331(f313(x65592),x65593),x65591)),f331(f331(f238(x65592),x65593),f12(x65592,f238(x65592),x65591)))
% 204.32/204.32 [6560]~P109(x65602)+E(x65601,f192(f935(x65602,a923)))+~P107(f331(f61(x65602),x65601))+E(f13(x65602,f237(x65602),f331(f331(f313(x65602),x65603),x65601)),f331(f331(f237(x65602),x65603),f13(x65602,f237(x65602),x65601)))
% 204.32/204.32 [7066]~P69(x70661)+~P107(f331(f61(x70661),x70663))+E(f331(f63(x70661,f81(x70661)),f331(f331(f313(x70661),x70662),x70663)),f331(f331(f64(x70661,x70661,f81(x70661)),x70662),x70663))+P107(f331(f331(f333(x70661),x70662),x70663))
% 204.32/204.32 [7143]~E(f331(f331(f80(a1),x71432),f331(f331(f81(a1),x71433),x71431)),x71433)+~P107(f331(f331(f240(a1),f2(a1)),x71433))+P107(f331(f331(f239(a1),f78(a1)),x71431))+~P107(f331(f331(f240(a1),x71432),x71433))
% 204.32/204.32 [7174]~E(f331(f331(f80(a1),x71742),f331(f331(f81(a1),x71743),x71741)),x71743)+P107(f331(f331(f239(a1),x71741),f78(a1)))+~P107(f331(f331(f239(a1),f2(a1)),x71742))+~P107(f331(f331(f240(a1),f2(a1)),x71743))
% 204.32/204.32 [7191]E(x71911,f2(a927))+~P107(f331(f48(x71913,x71911),x71912))+~P107(f331(f331(f240(a927),f2(a927)),x71911))+P107(f331(f331(f240(a927),f331(f260(a927,a927),x71912)),x71911))
% 204.32/204.32 [7221]~P139(x72211)+~P107(f331(f331(f239(x72211),x72212),f2(x72211)))+~P107(f331(f331(f239(x72211),x72213),f2(x72211)))+E(f331(f331(f81(x72211),f331(f76(x72211),x72212)),f331(f76(x72211),x72213)),f331(f76(x72211),f331(f331(f81(x72211),x72212),x72213)))
% 204.32/204.32 [7270]~P139(x72701)+~P107(f331(f331(f239(x72701),x72702),f2(x72701)))+E(f331(f331(f81(x72701),f331(f76(x72701),x72702)),f331(f76(x72701),x72703)),f331(f76(x72701),f331(f331(f81(x72701),x72702),x72703)))+~P107(f331(f331(f239(x72701),f2(x72701)),x72703))
% 204.32/204.32 [7271]~P139(x72711)+~P107(f331(f331(f239(x72711),x72713),f2(x72711)))+E(f331(f331(f81(x72711),f331(f76(x72711),x72712)),f331(f76(x72711),x72713)),f331(f76(x72711),f331(f331(f81(x72711),x72712),x72713)))+~P107(f331(f331(f239(x72711),f2(x72711)),x72712))
% 204.32/204.32 [7327]~P139(x73271)+E(f331(f331(f81(x73271),f331(f76(x73271),x73272)),f331(f76(x73271),x73273)),f331(f76(x73271),f331(f331(f81(x73271),x73272),x73273)))+~P107(f331(f331(f239(x73271),f2(x73271)),x73272))+~P107(f331(f331(f239(x73271),f2(x73271)),x73273))
% 204.32/204.32 [7344]~P113(x73441)+~P107(f331(f331(f239(x73441),x73443),f2(x73441)))+~P107(f331(f331(f239(x73441),x73442),f2(x73441)))+P107(f331(f331(f239(x73441),f2(x73441)),f331(f331(f81(x73441),x73442),x73443)))
% 204.32/204.32 [7345]~P129(x73451)+~P107(f331(f331(f239(x73451),x73453),f2(x73451)))+~P107(f331(f331(f239(x73451),x73452),f2(x73451)))+P107(f331(f331(f239(x73451),f2(x73451)),f331(f331(f81(x73451),x73452),x73453)))
% 204.32/204.32 [7346]~P66(x73461)+~P107(f331(f331(f239(x73461),x73463),f2(x73461)))+~P107(f331(f331(f239(x73461),x73462),f2(x73461)))+P107(f331(f331(f239(x73461),f2(x73461)),f331(f331(f294(x73461),x73462),x73463)))
% 204.32/204.32 [7347]~P67(x73471)+~P107(f331(f331(f240(x73471),x73473),f2(x73471)))+~P107(f331(f331(f239(x73471),x73472),f2(x73471)))+P107(f331(f331(f239(x73471),f2(x73471)),f331(f331(f294(x73471),x73472),x73473)))
% 204.32/204.32 [7348]~P129(x73481)+~P107(f331(f331(f240(x73481),x73483),f2(x73481)))+~P107(f331(f331(f240(x73481),x73482),f2(x73481)))+P107(f331(f331(f240(x73481),f2(x73481)),f331(f331(f81(x73481),x73482),x73483)))
% 204.32/204.32 [7349]~P66(x73491)+~P107(f331(f331(f240(x73491),x73493),f2(x73491)))+~P107(f331(f331(f240(x73491),x73492),f2(x73491)))+P107(f331(f331(f240(x73491),f2(x73491)),f331(f331(f294(x73491),x73492),x73493)))
% 204.32/204.32 [7350]~P67(x73501)+~P107(f331(f331(f240(x73501),x73503),f2(x73501)))+~P107(f331(f331(f240(x73501),x73502),f2(x73501)))+P107(f331(f331(f240(x73501),f2(x73501)),f331(f331(f294(x73501),x73502),x73503)))
% 204.32/204.32 [7351]~P127(x73511)+~P107(f331(f331(f240(a927),f2(a927)),x73513))+~P107(f331(f331(f240(x73511),f78(x73511)),x73512))+P107(f331(f331(f240(x73511),f78(x73511)),f331(f331(f248(x73511),x73512),x73513)))
% 204.32/204.32 [7448]~P113(x74481)+~P107(f331(f331(f239(x74481),f2(x74481)),x74483))+~P107(f331(f331(f239(x74481),f2(x74481)),x74482))+P107(f331(f331(f239(x74481),f2(x74481)),f331(f331(f81(x74481),x74482),x74483)))
% 204.32/204.32 [7449]~P129(x74491)+~P107(f331(f331(f239(x74491),f2(x74491)),x74493))+~P107(f331(f331(f239(x74491),f2(x74491)),x74492))+P107(f331(f331(f239(x74491),f2(x74491)),f331(f331(f81(x74491),x74492),x74493)))
% 204.32/204.32 [7450]~P136(x74501)+~P107(f331(f331(f239(x74501),f2(x74501)),x74503))+~P107(f331(f331(f239(x74501),f2(x74501)),x74502))+P107(f331(f331(f239(x74501),f2(x74501)),f331(f331(f81(x74501),x74502),x74503)))
% 204.32/204.32 [7452]~P66(x74521)+~P107(f331(f331(f239(x74521),f2(x74521)),x74523))+~P107(f331(f331(f239(x74521),f2(x74521)),x74522))+P107(f331(f331(f239(x74521),f2(x74521)),f331(f331(f294(x74521),x74522),x74523)))
% 204.32/204.32 [7453]~P67(x74531)+~P107(f331(f331(f240(x74531),f2(x74531)),x74533))+~P107(f331(f331(f239(x74531),f2(x74531)),x74532))+P107(f331(f331(f239(x74531),f2(x74531)),f331(f331(f294(x74531),x74532),x74533)))
% 204.32/204.32 [7454]~P127(x74541)+~P107(f331(f331(f240(x74541),f78(x74541)),x74543))+~P107(f331(f331(f240(x74541),f78(x74541)),x74542))+P107(f331(f331(f240(x74541),f78(x74541)),f331(f331(f81(x74541),x74542),x74543)))
% 204.32/204.32 [7455]~P131(x74551)+~P107(f331(f331(f240(x74551),f2(x74551)),x74553))+~P107(f331(f331(f240(x74551),f2(x74551)),x74552))+P107(f331(f331(f240(x74551),f2(x74551)),f331(f331(f81(x74551),x74552),x74553)))
% 204.32/204.32 [7458]~P90(x74581)+~P107(f331(f331(f240(x74581),f2(x74581)),x74583))+~P107(f331(f331(f240(x74581),f2(x74581)),x74582))+P107(f331(f331(f240(x74581),f2(x74581)),f331(f331(f80(x74581),x74582),x74583)))
% 204.32/204.32 [7459]~P66(x74591)+~P107(f331(f331(f240(x74591),f2(x74591)),x74593))+~P107(f331(f331(f240(x74591),f2(x74591)),x74592))+P107(f331(f331(f240(x74591),f2(x74591)),f331(f331(f294(x74591),x74592),x74593)))
% 204.32/204.32 [7460]~P67(x74601)+~P107(f331(f331(f240(x74601),f2(x74601)),x74603))+~P107(f331(f331(f240(x74601),f2(x74601)),x74602))+P107(f331(f331(f240(x74601),f2(x74601)),f331(f331(f294(x74601),x74602),x74603)))
% 204.32/204.32 [7538]~P79(x75381)+~P107(f331(f61(x75381),x75383))+E(f10(x75381,f331(f331(f313(x75381),x75382),x75383)),x75382)+~E(f331(f331(f23(f935(x75381,a923)),x75383),f331(f331(f313(x75381),x75382),f192(f935(x75381,a923)))),f192(f935(x75381,a923)))
% 204.32/204.32 [7539]~P79(x75391)+~P107(f331(f61(x75391),x75393))+E(f11(x75391,f331(f331(f313(x75391),x75392),x75393)),x75392)+~E(f331(f331(f23(f935(x75391,a923)),x75393),f331(f331(f313(x75391),x75392),f192(f935(x75391,a923)))),f192(f935(x75391,a923)))
% 204.32/204.32 [7540]~P109(x75401)+~P107(f331(f61(x75401),x75403))+E(f14(x75401,f331(f331(f313(x75401),x75402),x75403)),x75402)+~E(f331(f331(f23(f935(x75401,a923)),x75403),f331(f331(f313(x75401),x75402),f192(f935(x75401,a923)))),f192(f935(x75401,a923)))
% 204.32/204.32 [7541]~P109(x75411)+~P107(f331(f61(x75411),x75413))+E(f15(x75411,f331(f331(f313(x75411),x75412),x75413)),x75412)+~E(f331(f331(f23(f935(x75411,a923)),x75413),f331(f331(f313(x75411),x75412),f192(f935(x75411,a923)))),f192(f935(x75411,a923)))
% 204.32/204.32 [7543]~P129(x75431)+P107(f331(f331(f239(x75431),x75432),f2(x75431)))+P107(f331(f331(f239(x75431),f2(x75431)),x75433))+~P107(f331(f331(f239(x75431),f2(x75431)),f331(f331(f81(x75431),x75433),x75432)))
% 204.32/204.32 [7544]~P129(x75441)+P107(f331(f331(f239(x75441),x75442),f2(x75441)))+P107(f331(f331(f239(x75441),f2(x75441)),x75443))+~P107(f331(f331(f239(x75441),f2(x75441)),f331(f331(f81(x75441),x75442),x75443)))
% 204.32/204.32 [7545]~P66(x75451)+P107(f331(f331(f239(x75451),x75452),f2(x75451)))+P107(f331(f331(f239(x75451),f2(x75451)),x75453))+~P107(f331(f331(f239(x75451),f2(x75451)),f331(f331(f294(x75451),x75453),x75452)))
% 204.32/204.32 [7546]~P66(x75461)+P107(f331(f331(f239(x75461),x75462),f2(x75461)))+P107(f331(f331(f239(x75461),f2(x75461)),x75463))+~P107(f331(f331(f239(x75461),f2(x75461)),f331(f331(f294(x75461),x75462),x75463)))
% 204.32/204.32 [7547]~P129(x75471)+P107(f331(f331(f239(x75471),x75472),f2(x75471)))+P107(f331(f331(f239(x75471),f2(x75471)),x75472))+~P107(f331(f331(f239(x75471),f2(x75471)),f331(f331(f81(x75471),x75473),x75472)))
% 204.32/204.32 [7548]~P129(x75481)+P107(f331(f331(f239(x75481),x75482),f2(x75481)))+P107(f331(f331(f239(x75481),f2(x75481)),x75482))+~P107(f331(f331(f239(x75481),f2(x75481)),f331(f331(f81(x75481),x75482),x75483)))
% 204.32/204.32 [7549]~P66(x75491)+P107(f331(f331(f239(x75491),x75492),f2(x75491)))+P107(f331(f331(f239(x75491),f2(x75491)),x75492))+~P107(f331(f331(f239(x75491),f2(x75491)),f331(f331(f294(x75491),x75493),x75492)))
% 204.32/204.32 [7550]~P66(x75501)+P107(f331(f331(f239(x75501),x75502),f2(x75501)))+P107(f331(f331(f239(x75501),f2(x75501)),x75502))+~P107(f331(f331(f239(x75501),f2(x75501)),f331(f331(f294(x75501),x75502),x75503)))
% 204.32/204.32 [7551]~P66(x75511)+P107(f331(f331(f240(x75511),x75512),f2(x75511)))+P107(f331(f331(f240(x75511),f2(x75511)),x75513))+~P107(f331(f331(f240(x75511),f2(x75511)),f331(f331(f294(x75511),x75513),x75512)))
% 204.32/204.32 [7552]~P66(x75521)+P107(f331(f331(f240(x75521),x75522),f2(x75521)))+P107(f331(f331(f240(x75521),f2(x75521)),x75523))+~P107(f331(f331(f240(x75521),f2(x75521)),f331(f331(f294(x75521),x75522),x75523)))
% 204.32/204.32 [7553]~P66(x75531)+P107(f331(f331(f240(x75531),x75532),f2(x75531)))+P107(f331(f331(f240(x75531),f2(x75531)),x75532))+~P107(f331(f331(f240(x75531),f2(x75531)),f331(f331(f294(x75531),x75533),x75532)))
% 204.32/204.32 [7554]~P66(x75541)+P107(f331(f331(f240(x75541),x75542),f2(x75541)))+P107(f331(f331(f240(x75541),f2(x75541)),x75542))+~P107(f331(f331(f240(x75541),f2(x75541)),f331(f331(f294(x75541),x75542),x75543)))
% 204.32/204.32 [7624]~P107(f331(f331(f291(a927),x76241),x76243))+P107(f331(f331(f291(a927),x76241),x76242))+~P107(f331(f331(f239(a927),x76242),x76243))+~P107(f331(f331(f291(a927),x76241),f331(f331(f23(a927),x76243),x76242)))
% 204.32/204.32 [7625]~P107(f331(f331(f291(a927),x76251),x76253))+P107(f331(f331(f291(a927),x76251),x76252))+~P107(f331(f331(f239(a927),x76253),x76252))+~P107(f331(f331(f291(a927),x76251),f331(f331(f23(a927),x76252),x76253)))
% 204.32/204.32 [7640]~E(f331(f331(f105(f935(x76401,a923)),f331(f176(x76401),x76402)),f331(f176(x76401),x76403)),f192(f935(x76401,a923)))+~P107(f331(f141(x76401),x76403))+~P107(f331(f141(x76401),x76402))+P107(f331(f141(x76401),f331(f331(f138(x76401),x76402),x76403)))
% 204.32/204.32 [7641]~P109(x76411)+~P107(f331(f61(x76411),x76413))+E(f12(x76411,f238(x76411),f331(f331(f313(x76411),x76412),x76413)),x76412)+~E(f331(f331(f23(f935(x76411,a923)),x76413),f331(f331(f313(x76411),x76412),f192(f935(x76411,a923)))),f192(f935(x76411,a923)))
% 204.32/204.32 [7642]~P109(x76421)+~P107(f331(f61(x76421),x76423))+E(f13(x76421,f237(x76421),f331(f331(f313(x76421),x76422),x76423)),x76422)+~E(f331(f331(f23(f935(x76421,a923)),x76423),f331(f331(f313(x76421),x76422),f192(f935(x76421,a923)))),f192(f935(x76421,a923)))
% 204.32/204.32 [7656]~P88(x76561)+~P107(f331(f331(f239(x76561),x76562),x76563))+~P107(f331(f331(f239(x76561),f331(f79(x76561),x76562)),x76563))+P107(f331(f331(f239(x76561),f331(f76(x76561),x76562)),x76563))
% 204.32/204.32 [7657]~P114(x76571)+~P107(f331(f331(f240(x76571),x76572),x76573))+~P107(f331(f331(f240(x76571),f331(f79(x76571),x76572)),x76573))+P107(f331(f331(f240(x76571),f331(f76(x76571),x76572)),x76573))
% 204.32/204.32 [7725]~P131(x77251)+P107(f331(f331(f240(x77251),f2(x77251)),x77252))+~P107(f331(f331(f240(x77251),f2(x77251)),x77253))+~P107(f331(f331(f240(x77251),f2(x77251)),f331(f331(f81(x77251),x77253),x77252)))
% 204.32/204.32 [7726]~P131(x77261)+P107(f331(f331(f240(x77261),f2(x77261)),x77262))+~P107(f331(f331(f240(x77261),f2(x77261)),x77263))+~P107(f331(f331(f240(x77261),f2(x77261)),f331(f331(f81(x77261),x77262),x77263)))
% 204.32/204.32 [8026]E(x80261,x80262)+~P107(f331(f61(x80263),x80261))+~P107(f331(f331(f239(a927),f331(f35(x80263),x80261)),f331(f35(x80263),x80262)))+~P107(f331(f331(f239(f935(x80263,a923)),x80262),x80261))
% 204.32/204.32 [8171]~P107(f331(f331(f240(a1),x81711),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x81712))+~P107(f331(f331(f239(a1),x81712),x81713))+P107(f331(f331(f239(a1),f331(f331(f36(a1),x81711),x81712)),f331(f331(f36(a1),x81711),x81713)))
% 204.32/204.32 [8181]~P107(f331(f331(f239(a1),f2(a1)),x81811))+~P107(f331(f331(f240(a1),f2(a1)),x81813))+~P107(f331(f331(f239(a1),x81813),x81812))+P107(f331(f331(f239(a1),f331(f331(f36(a1),x81811),x81812)),f331(f331(f36(a1),x81811),x81813)))
% 204.32/204.32 [8321]E(f331(x83211,f441(x83212,x83211,x83213)),x83212)+~P107(f331(f331(f239(a1),x83212),f331(x83211,x83213)))+P107(f331(f331(f240(a927),f442(x83212,x83211,x83213)),x83213))+~P107(f331(f331(f239(a1),f331(x83211,f2(a927))),x83212))
% 204.32/204.32 [8322]E(f331(x83221,f447(x83222,x83221,x83223)),x83222)+~P107(f331(f331(f239(a1),x83222),f331(x83221,x83223)))+P107(f331(f331(f240(a927),f448(x83222,x83221,x83223)),x83223))+~P107(f331(f331(f239(a1),f331(x83221,f2(a927))),x83222))
% 204.32/204.32 [8421]~P107(f331(f61(x84211),x84213))+~P107(f331(f331(f240(a927),f331(f35(x84211),x84212)),f331(f35(x84211),x84213)))+~P107(f331(f331(f239(f935(x84211,a923)),x84212),x84213))+P107(f331(f331(f240(f935(x84211,a923)),x84212),x84213))
% 204.32/204.32 [8448]E(f331(f331(f80(a1),f420(x84483,x84481,x84482)),f421(x84483,x84481,x84482)),x84481)+E(f331(f331(f23(a1),x84481),x84482),x84481)+~P107(f331(f331(f240(a1),f2(a1)),x84482))+~P107(f331(f331(f333(a1),f331(f331(f23(a1),x84481),f78(a1))),x84483))
% 204.32/204.32 [8449]E(f331(f331(f23(a1),f422(x84493,x84491,x84492)),f423(x84493,x84491,x84492)),x84491)+E(f331(f331(f80(a1),x84491),x84492),x84491)+~P107(f331(f331(f240(a1),f2(a1)),x84492))+~P107(f331(f331(f333(a1),f331(f331(f80(a1),x84491),f78(a1))),x84493))
% 204.32/204.32 [8500]~P107(f331(f331(f239(a927),x85003),x85001))+P107(f331(f331(f239(a927),x85001),x85002))+~P107(f331(f331(f239(a927),x85003),x85002))+~P107(f331(f331(f239(a927),f331(f331(f23(a927),x85001),x85003)),f331(f331(f23(a927),x85002),x85003)))
% 204.32/204.32 [8501]~P107(f331(f331(f239(a927),x85013),x85011))+P107(f331(f331(f240(a927),x85011),x85012))+~P107(f331(f331(f239(a927),x85013),x85012))+~P107(f331(f331(f240(a927),f331(f331(f23(a927),x85011),x85013)),f331(f331(f23(a927),x85012),x85013)))
% 204.32/204.32 [8520]~P109(x85202)+E(x85201,f117(x85202))+~P12(x85202,f331(f172(x85202),x85201))+E(f331(f146(x85202,x85202,f331(f7(x85202,x85202,x85202),f238(x85202)),x85203),f331(f172(x85202),x85201)),f331(f331(f238(x85202),f331(f331(f168(x85202),x85201),f2(a927))),x85203))
% 204.32/204.32 [8589]E(f331(f331(f23(a1),x85891),x85892),x85891)+~P107(f331(f331(f240(a1),f2(a1)),x85892))+P107(f331(f331(f333(a1),f420(x85893,x85891,x85892)),x85893))+~P107(f331(f331(f333(a1),f331(f331(f23(a1),x85891),f78(a1))),x85893))
% 204.32/204.32 [8590]E(f331(f331(f80(a1),x85901),x85902),x85901)+~P107(f331(f331(f240(a1),f2(a1)),x85902))+P107(f331(f331(f333(a1),f422(x85903,x85901,x85902)),x85903))+~P107(f331(f331(f333(a1),f331(f331(f80(a1),x85901),f78(a1))),x85903))
% 204.32/204.32 [8663]~P107(f331(f331(f239(a1),x86631),f331(x86632,x86633)))+P107(f331(f331(f240(a927),f442(x86631,x86632,x86633)),x86633))+P107(f331(f331(f239(a927),f441(x86631,x86632,x86633)),x86633))+~P107(f331(f331(f239(a1),f331(x86632,f2(a927))),x86631))
% 204.32/204.32 [8664]~P107(f331(f331(f239(a1),x86641),f331(x86642,x86643)))+P107(f331(f331(f240(a927),f448(x86641,x86642,x86643)),x86643))+P107(f331(f331(f239(a927),f447(x86641,x86642,x86643)),x86643))+~P107(f331(f331(f239(a1),f331(x86642,f2(a927))),x86641))
% 204.32/204.32 [8743]E(f331(f331(f23(a1),x87431),x87432),x87431)+~P107(f331(f331(f240(a1),f2(a1)),x87432))+P107(f331(f331(f333(a1),f421(x87433,x87431,x87432)),f307(a1,f78(a1),x87432)))+~P107(f331(f331(f333(a1),f331(f331(f23(a1),x87431),f78(a1))),x87433))
% 204.32/204.32 [8744]E(f331(f331(f80(a1),x87441),x87442),x87441)+~P107(f331(f331(f240(a1),f2(a1)),x87442))+P107(f331(f331(f333(a1),f423(x87443,x87441,x87442)),f307(a1,f78(a1),x87442)))+~P107(f331(f331(f333(a1),f331(f331(f80(a1),x87441),f78(a1))),x87443))
% 204.32/204.32 [8880]~P127(x88801)+~P107(f331(f331(f240(x88801),x88802),f78(x88801)))+~P107(f331(f331(f240(x88801),f2(x88801)),x88802))+P107(f331(f331(f240(x88801),f331(f331(f81(x88801),x88802),f331(f331(f248(x88801),x88802),x88803))),f331(f331(f248(x88801),x88802),x88803)))
% 204.32/204.32 [8973]~P107(f331(x89731,x89732))+P107(f331(x89731,f2(a927)))+~P107(f331(f331(f240(a927),x89732),x89733))+~P107(f331(x89731,f45(a927,f331(a116,f495(x89732,x89731,x89733)),x89733)))
% 204.32/204.32 [9125]E(f518(x91251,x91252,x91253),f2(a927))+P107(f331(f331(x91251,x91253),x91252))+P107(f331(f331(x91251,f518(x91251,x91252,x91253)),f45(a927,f517(x91251,x91252,x91253),f518(x91251,x91252,x91253))))+~P107(f331(f319(f934(a927,a927),a224),f331(f331(f256(a927,a927),x91253),x91252)))
% 204.32/204.32 [9161]~P24(x91611,x91611,x91612,x91613)+E(f331(f314(x91611,x91611,x91612),x91613),x91613)+~P107(f331(f61(x91611),x91613))+~P107(f331(f331(f239(f935(x91611,a923)),f331(f314(x91611,x91611,x91612),x91613)),x91613))
% 204.32/204.32 [9381]P107(f331(f331(x93811,x93812),x93813))+P107(f331(f331(f240(a1),f780(x93811,x93813,x93812)),f781(x93811,x93813,x93812)))+P107(f331(f331(x93811,f780(x93811,x93813,x93812)),f331(f331(f80(a1),f781(x93811,x93813,x93812)),f78(a1))))+~P107(f331(f319(f934(a1,a1),a137),f331(f331(f256(a1,a1),x93812),x93813)))
% 204.32/204.32 [9399]P107(f331(f331(x93991,x93992),x93993))+~P107(f331(f331(f240(a1),f516(x93991,x93993,x93992)),f2(a1)))+P107(f331(f331(x93991,f331(f79(a1),f514(x93991,x93993,x93992))),f331(f79(a1),f516(x93991,x93993,x93992))))+~P107(f331(f319(f934(a1,a1),a226),f331(f331(f256(a1,a1),x93992),x93993)))
% 204.32/204.32 [9592]P107(f331(f331(x95921,x95922),x95923))+P107(f331(f331(x95921,f331(f331(f80(a1),f682(x95921,x95923,x95922)),f78(a1))),f684(x95921,x95923,x95922)))+~P107(f331(f331(f239(a1),f682(x95921,x95923,x95922)),f684(x95921,x95923,x95922)))+~P107(f331(f319(f934(a1,a1),a186),f331(f331(f256(a1,a1),x95922),x95923)))
% 204.32/204.32 [10033]~P63(x100332)+~P63(x100331)+~P107(f331(f56(f934(x100331,x100332)),x100333))+P107(f331(f56(x100331),f331(f331(f8(f935(x100332,a923),a923,x100331),f56(x100332)),f331(f331(f8(f935(x100332,f934(x100331,x100332)),f935(x100332,a923),x100331),f331(f8(f934(x100331,x100332),a923,x100332),x100333)),f256(x100331,x100332)))))
% 204.32/204.32 [10034]~P63(x100342)+~P63(x100341)+~P107(f331(f57(f934(x100341,x100342)),x100343))+P107(f331(f57(x100341),f331(f331(f8(f935(x100342,a923),a923,x100341),f57(x100342)),f331(f331(f8(f935(x100342,f934(x100341,x100342)),f935(x100342,a923),x100341),f331(f8(f934(x100341,x100342),a923,x100342),x100343)),f256(x100341,x100342)))))
% 204.32/204.32 [10129]~P63(x101292)+~P63(x101291)+P107(f331(f56(f934(x101291,x101292)),x101293))+~P107(f331(f56(x101291),f331(f331(f8(f935(x101292,a923),a923,x101291),f56(x101292)),f331(f331(f8(f935(x101292,f934(x101291,x101292)),f935(x101292,a923),x101291),f331(f8(f934(x101291,x101292),a923,x101292),x101293)),f256(x101291,x101292)))))
% 204.32/204.32 [10130]~P63(x101302)+~P63(x101301)+P107(f331(f57(f934(x101301,x101302)),x101303))+~P107(f331(f57(x101301),f331(f331(f8(f935(x101302,a923),a923,x101301),f57(x101302)),f331(f331(f8(f935(x101302,f934(x101301,x101302)),f935(x101302,a923),x101301),f331(f8(f934(x101301,x101302),a923,x101302),x101303)),f256(x101301,x101302)))))
% 204.32/204.32 [10289]E(f331(x102891,f441(x102892,x102891,x102893)),x102892)+~P107(f331(f331(f239(a1),x102892),f331(x102891,x102893)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x102891,f331(f331(f80(a927),f442(x102892,x102891,x102893)),f78(a927)))),f331(x102891,f442(x102892,x102891,x102893))))),f78(a1)))+~P107(f331(f331(f239(a1),f331(x102891,f2(a927))),x102892))
% 204.32/204.32 [10290]E(f331(x102901,f447(x102902,x102901,x102903)),x102902)+~P107(f331(f331(f239(a1),x102902),f331(x102901,x102903)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x102901,f331(f331(f80(a927),f448(x102902,x102901,x102903)),f78(a927)))),f331(x102901,f448(x102902,x102901,x102903))))),f78(a1)))+~P107(f331(f331(f239(a1),f331(x102901,f2(a927))),x102902))
% 204.32/204.32 [10293]~P107(f331(f331(f239(a1),x102931),f331(x102932,x102933)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x102932,f331(f331(f80(a927),f442(x102931,x102932,x102933)),f78(a927)))),f331(x102932,f442(x102931,x102932,x102933))))),f78(a1)))+P107(f331(f331(f239(a927),f441(x102931,x102932,x102933)),x102933))+~P107(f331(f331(f239(a1),f331(x102932,f2(a927))),x102931))
% 204.32/204.32 [10294]~P107(f331(f331(f239(a1),x102941),f331(x102942,x102943)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x102942,f331(f331(f80(a927),f448(x102941,x102942,x102943)),f78(a927)))),f331(x102942,f448(x102941,x102942,x102943))))),f78(a1)))+P107(f331(f331(f239(a927),f447(x102941,x102942,x102943)),x102943))+~P107(f331(f331(f239(a1),f331(x102942,f2(a927))),x102941))
% 204.32/204.32 [10354]E(x103541,x103542)+~E(f331(f146(f928(x103543),f928(x103543),f138(x103543),f117(x103543)),x103541),f331(f146(f928(x103543),f928(x103543),f138(x103543),f117(x103543)),x103542))+~E(f331(f193(f928(f928(x103543))),x103541),f331(f193(f928(f928(x103543))),x103542))+~P107(f331(f331(f261(f928(x103543),f928(x103543),a923),f331(f331(f7(f928(x103543),f935(f928(x103543),a927),f935(f928(x103543),a923)),f331(f331(f8(f935(a927,a923),f935(f935(f928(x103543),a927),f935(f928(x103543),a923)),f928(x103543)),f8(a927,a923,f928(x103543))),f331(f331(f8(a927,f935(a927,a923),f928(x103543)),a328),f193(f928(x103543))))),f193(f928(x103543)))),f711(x103542,x103541,x103543)))
% 204.32/204.32 [10355]E(x103551,x103552)+~E(f331(f146(f928(x103553),f928(x103553),f138(x103553),f117(x103553)),x103551),f331(f146(f928(x103553),f928(x103553),f138(x103553),f117(x103553)),x103552))+~E(f331(f193(f928(f928(x103553))),x103551),f331(f193(f928(f928(x103553))),x103552))+~P107(f331(f331(f261(f928(x103553),f928(x103553),a923),f331(f331(f7(f928(x103553),f935(f928(x103553),a927),f935(f928(x103553),a923)),f331(f331(f8(f935(a927,a923),f935(f935(f928(x103553),a927),f935(f928(x103553),a923)),f928(x103553)),f8(a927,a923,f928(x103553))),f331(f331(f8(a927,f935(a927,a923),f928(x103553)),a328),f193(f928(x103553))))),f193(f928(x103553)))),f712(x103551,x103552,x103553)))
% 204.32/204.32 [7054]~E(f78(a927),f2(a927))+~P107(f331(f61(x70541),x70543))+~P107(f331(f61(x70541),x70542))+E(f331(f331(f80(a927),f331(f35(x70541),x70542)),f331(f35(x70541),x70543)),f331(f35(x70541),f331(f331(f114(f935(x70541,a923)),x70542),x70543)))
% 204.32/204.32 [7467]~P103(x74671)+~P107(f331(f61(x74671),x74672))+~P107(f331(f331(f333(x74671),x74673),x74672))+P107(f331(f331(f239(x74671),f331(f63(x74671,f105(x74671)),x74672)),x74673))
% 204.32/204.32 [7468]~P109(x74681)+~P107(f331(f61(x74681),x74682))+~P107(f331(f331(f333(x74681),x74683),x74682))+P107(f331(f331(f239(x74681),f331(f63(x74681,f237(x74681)),x74682)),x74683))
% 204.32/204.32 [7719]~P107(f331(f61(x77191),x77193))+~P107(f331(f61(x77191),x77192))+~E(f331(f331(f105(f935(x77191,a923)),x77192),x77193),f192(f935(x77191,a923)))+E(f331(f331(f80(a927),f331(f35(x77191),x77192)),f331(f35(x77191),x77193)),f331(f35(x77191),f331(f331(f114(f935(x77191,a923)),x77192),x77193)))
% 204.32/204.32 [8506]~P38(x85061,x85063)+~P38(x85061,x85062)+~E(f331(f331(f105(f935(x85061,a923)),f331(f268(x85061,x85061),x85062)),f331(f288(x85061,x85061),x85063)),f192(f935(x85061,a923)))+P38(x85061,f331(f331(f114(f935(f934(x85061,x85061),a923)),x85062),x85063))
% 204.32/204.32 [8601]E(x86011,f331(f331(f36(a927),x86012),x86013))+~P107(f331(f331(f240(a927),f2(a927)),x86013))+~P107(f331(f331(f240(a927),x86012),f331(f331(f81(a927),x86013),f331(a116,x86011))))+~P107(f331(f331(f239(a927),f331(f331(f81(a927),x86013),x86011)),x86012))
% 204.32/204.32 [8741]~P107(f331(f61(x87411),x87412))+~P107(f331(f61(x87411),x87413))+E(f331(f331(f80(a927),f331(f35(x87411),x87412)),f331(f35(x87411),x87413)),f331(f35(x87411),f331(f331(f114(f935(x87411,a923)),x87412),x87413)))+P107(f331(f331(f333(x87411),f920(x87413,x87412,x87411)),f331(f331(f105(f935(x87411,a923)),x87412),x87413)))
% 204.32/204.32 [9137]~P129(x91372)+~E(x91371,f2(x91372))+~E(x91373,f2(x91372))+~P107(f331(f331(f240(x91372),f2(x91372)),f331(f331(f80(x91372),f331(f331(f81(x91372),x91373),x91373)),f331(f331(f81(x91372),x91371),x91371))))
% 204.32/204.32 [9671]~P38(x96711,x96713)+~P38(x96711,x96712)+P38(x96711,f331(f331(f114(f935(f934(x96711,x96711),a923)),x96712),x96713))+~P107(f331(f331(f239(f935(f934(x96711,x96711),a923)),f331(f331(f293(x96711,x96711,x96711),x96712),x96713)),x96712))
% 204.32/204.32 [9809]~P107(f331(x98091,x98093))+~P107(f331(f61(x98092),x98093))+P107(f331(x98091,f192(f935(x98092,a923))))+~P107(f331(x98091,f331(f331(f23(f935(x98092,a923)),f555(x98091,x98093,x98092)),f331(f331(f313(x98092),f540(x98091,x98093,x98092)),f192(f935(x98092,a923))))))
% 204.32/204.32 [8920]~P107(f331(f331(f240(a1),f2(a1)),x89203))+P107(f331(f331(f239(a1),f2(a1)),x89201))+~P107(f331(f331(f240(a1),x89202),x89203))+~P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),f331(f331(f81(a1),x89203),x89201)),x89202)))
% 204.32/204.32 [8944]~P79(x89441)+~P107(f331(f61(x89441),x89442))+E(f331(f331(f23(f935(x89441,a923)),x89442),f331(f331(f313(x89441),x89443),f192(f935(x89441,a923)))),f192(f935(x89441,a923)))+E(f331(f331(f114(x89441),x89443),f10(x89441,f331(f331(f23(f935(x89441,a923)),x89442),f331(f331(f313(x89441),x89443),f192(f935(x89441,a923)))))),f10(x89441,f331(f331(f313(x89441),x89443),x89442)))
% 204.32/204.32 [8945]~P79(x89451)+~P107(f331(f61(x89451),x89452))+E(f331(f331(f23(f935(x89451,a923)),x89452),f331(f331(f313(x89451),x89453),f192(f935(x89451,a923)))),f192(f935(x89451,a923)))+E(f331(f331(f105(x89451),x89453),f11(x89451,f331(f331(f23(f935(x89451,a923)),x89452),f331(f331(f313(x89451),x89453),f192(f935(x89451,a923)))))),f11(x89451,f331(f331(f313(x89451),x89453),x89452)))
% 204.32/204.32 [8946]~P109(x89461)+~P107(f331(f61(x89461),x89462))+E(f331(f331(f23(f935(x89461,a923)),x89462),f331(f331(f313(x89461),x89463),f192(f935(x89461,a923)))),f192(f935(x89461,a923)))+E(f331(f331(f237(x89461),x89463),f14(x89461,f331(f331(f23(f935(x89461,a923)),x89462),f331(f331(f313(x89461),x89463),f192(f935(x89461,a923)))))),f14(x89461,f331(f331(f313(x89461),x89463),x89462)))
% 204.32/204.32 [8947]~P109(x89471)+~P107(f331(f61(x89471),x89472))+E(f331(f331(f23(f935(x89471,a923)),x89472),f331(f331(f313(x89471),x89473),f192(f935(x89471,a923)))),f192(f935(x89471,a923)))+E(f331(f331(f238(x89471),x89473),f15(x89471,f331(f331(f23(f935(x89471,a923)),x89472),f331(f331(f313(x89471),x89473),f192(f935(x89471,a923)))))),f15(x89471,f331(f331(f313(x89471),x89473),x89472)))
% 204.32/204.32 [9019]~P109(x90191)+~P107(f331(f61(x90191),x90192))+E(f331(f331(f23(f935(x90191,a923)),x90192),f331(f331(f313(x90191),x90193),f192(f935(x90191,a923)))),f192(f935(x90191,a923)))+E(f331(f331(f238(x90191),x90193),f12(x90191,f238(x90191),f331(f331(f23(f935(x90191,a923)),x90192),f331(f331(f313(x90191),x90193),f192(f935(x90191,a923)))))),f12(x90191,f238(x90191),f331(f331(f313(x90191),x90193),x90192)))
% 204.32/204.32 [9020]~P109(x90201)+~P107(f331(f61(x90201),x90202))+E(f331(f331(f23(f935(x90201,a923)),x90202),f331(f331(f313(x90201),x90203),f192(f935(x90201,a923)))),f192(f935(x90201,a923)))+E(f331(f331(f237(x90201),x90203),f13(x90201,f237(x90201),f331(f331(f23(f935(x90201,a923)),x90202),f331(f331(f313(x90201),x90203),f192(f935(x90201,a923)))))),f13(x90201,f237(x90201),f331(f331(f313(x90201),x90203),x90202)))
% 204.32/204.32 [9611]E(x96111,x96112)+~E(f331(f146(f928(x96113),f928(x96113),f138(x96113),f117(x96113)),x96111),f331(f146(f928(x96113),f928(x96113),f138(x96113),f117(x96113)),x96112))+~E(f331(f193(f928(f928(x96113))),x96111),f331(f193(f928(f928(x96113))),x96112))+P107(f331(f331(f333(f934(f928(x96113),f928(x96113))),f711(x96112,x96111,x96113)),f331(f176(f934(f928(x96113),f928(x96113))),f331(f331(f185(f928(x96113),f928(x96113)),x96111),x96112))))
% 204.32/204.32 [9612]E(x96121,x96122)+~E(f331(f146(f928(x96123),f928(x96123),f138(x96123),f117(x96123)),x96121),f331(f146(f928(x96123),f928(x96123),f138(x96123),f117(x96123)),x96122))+~E(f331(f193(f928(f928(x96123))),x96121),f331(f193(f928(f928(x96123))),x96122))+P107(f331(f331(f333(f934(f928(x96123),f928(x96123))),f712(x96121,x96122,x96123)),f331(f176(f934(f928(x96123),f928(x96123))),f331(f331(f185(f928(x96123),f928(x96123)),x96122),x96121))))
% 204.32/204.32 [10471]~P100(x104712)+E(x104711,f192(f935(x104712,a923)))+~P107(f331(f61(x104712),x104711))+E(f11(x104712,f331(f266(x104712),f331(f331(f8(f935(x104712,a923),a923,x104712),f87(x104712)),f331(f331(f7(x104712,f935(x104712,a923),f935(x104712,a923)),f331(f331(f8(f935(x104712,f935(a923,a923)),f935(f935(x104712,a923),f935(x104712,a923)),x104712),f18(x104712,a923,a923)),f331(f331(f8(f935(x104712,a923),f935(x104712,f935(a923,a923)),x104712),f331(f8(a923,f935(a923,a923),x104712),a329)),f331(f331(f7(x104712,f935(x104712,x104712),f935(x104712,a923)),f331(f331(f8(f935(x104712,a923),f935(f935(x104712,x104712),f935(x104712,a923)),x104712),f8(x104712,a923,x104712)),a328)),f331(f114(x104712),x104713))))),f331(f331(f7(x104712,f935(x104712,a923),a923),f333(x104712)),x104711))))),f331(f331(f114(x104712),x104713),f11(x104712,x104711)))
% 204.32/204.32 [10472]~P100(x104722)+E(x104721,f192(f935(x104722,a923)))+~P107(f331(f61(x104722),x104721))+E(f10(x104722,f331(f266(x104722),f331(f331(f8(f935(x104722,a923),a923,x104722),f87(x104722)),f331(f331(f7(x104722,f935(x104722,a923),f935(x104722,a923)),f331(f331(f8(f935(x104722,f935(a923,a923)),f935(f935(x104722,a923),f935(x104722,a923)),x104722),f18(x104722,a923,a923)),f331(f331(f8(f935(x104722,a923),f935(x104722,f935(a923,a923)),x104722),f331(f8(a923,f935(a923,a923),x104722),a329)),f331(f331(f7(x104722,f935(x104722,x104722),f935(x104722,a923)),f331(f331(f8(f935(x104722,a923),f935(f935(x104722,x104722),f935(x104722,a923)),x104722),f8(x104722,a923,x104722)),a328)),f331(f105(x104722),x104723))))),f331(f331(f7(x104722,f935(x104722,a923),a923),f333(x104722)),x104721))))),f331(f331(f105(x104722),x104723),f10(x104722,x104721)))
% 204.32/204.32 [10473]~P78(x104732)+E(x104731,f192(f935(x104732,a923)))+~P107(f331(f61(x104732),x104731))+E(f14(x104732,f331(f266(x104732),f331(f331(f8(f935(x104732,a923),a923,x104732),f87(x104732)),f331(f331(f7(x104732,f935(x104732,a923),f935(x104732,a923)),f331(f331(f8(f935(x104732,f935(a923,a923)),f935(f935(x104732,a923),f935(x104732,a923)),x104732),f18(x104732,a923,a923)),f331(f331(f8(f935(x104732,a923),f935(x104732,f935(a923,a923)),x104732),f331(f8(a923,f935(a923,a923),x104732),a329)),f331(f331(f7(x104732,f935(x104732,x104732),f935(x104732,a923)),f331(f331(f8(f935(x104732,a923),f935(f935(x104732,x104732),f935(x104732,a923)),x104732),f8(x104732,a923,x104732)),a328)),f331(f80(x104732),x104733))))),f331(f331(f7(x104732,f935(x104732,a923),a923),f333(x104732)),x104731))))),f331(f331(f80(x104732),x104733),f14(x104732,x104731)))
% 204.32/204.32 [10474]~P78(x104742)+E(x104741,f192(f935(x104742,a923)))+~P107(f331(f61(x104742),x104741))+E(f15(x104742,f331(f266(x104742),f331(f331(f8(f935(x104742,a923),a923,x104742),f87(x104742)),f331(f331(f7(x104742,f935(x104742,a923),f935(x104742,a923)),f331(f331(f8(f935(x104742,f935(a923,a923)),f935(f935(x104742,a923),f935(x104742,a923)),x104742),f18(x104742,a923,a923)),f331(f331(f8(f935(x104742,a923),f935(x104742,f935(a923,a923)),x104742),f331(f8(a923,f935(a923,a923),x104742),a329)),f331(f331(f7(x104742,f935(x104742,x104742),f935(x104742,a923)),f331(f331(f8(f935(x104742,a923),f935(f935(x104742,x104742),f935(x104742,a923)),x104742),f8(x104742,a923,x104742)),a328)),f331(f80(x104742),x104743))))),f331(f331(f7(x104742,f935(x104742,a923),a923),f333(x104742)),x104741))))),f331(f331(f80(x104742),x104743),f15(x104742,x104741)))
% 204.32/204.32 [10475]~P109(x104752)+E(x104751,f192(f935(x104752,a923)))+~P107(f331(f61(x104752),x104751))+E(f12(x104752,f238(x104752),f331(f266(x104752),f331(f331(f8(f935(x104752,a923),a923,x104752),f87(x104752)),f331(f331(f7(x104752,f935(x104752,a923),f935(x104752,a923)),f331(f331(f8(f935(x104752,f935(a923,a923)),f935(f935(x104752,a923),f935(x104752,a923)),x104752),f18(x104752,a923,a923)),f331(f331(f8(f935(x104752,a923),f935(x104752,f935(a923,a923)),x104752),f331(f8(a923,f935(a923,a923),x104752),a329)),f331(f331(f7(x104752,f935(x104752,x104752),f935(x104752,a923)),f331(f331(f8(f935(x104752,a923),f935(f935(x104752,x104752),f935(x104752,a923)),x104752),f8(x104752,a923,x104752)),a328)),f331(f237(x104752),x104753))))),f331(f331(f7(x104752,f935(x104752,a923),a923),f333(x104752)),x104751))))),f331(f331(f237(x104752),x104753),f12(x104752,f238(x104752),x104751)))
% 204.32/204.32 [10476]~P109(x104762)+E(x104761,f192(f935(x104762,a923)))+~P107(f331(f61(x104762),x104761))+E(f13(x104762,f237(x104762),f331(f266(x104762),f331(f331(f8(f935(x104762,a923),a923,x104762),f87(x104762)),f331(f331(f7(x104762,f935(x104762,a923),f935(x104762,a923)),f331(f331(f8(f935(x104762,f935(a923,a923)),f935(f935(x104762,a923),f935(x104762,a923)),x104762),f18(x104762,a923,a923)),f331(f331(f8(f935(x104762,a923),f935(x104762,f935(a923,a923)),x104762),f331(f8(a923,f935(a923,a923),x104762),a329)),f331(f331(f7(x104762,f935(x104762,x104762),f935(x104762,a923)),f331(f331(f8(f935(x104762,a923),f935(f935(x104762,x104762),f935(x104762,a923)),x104762),f8(x104762,a923,x104762)),a328)),f331(f238(x104762),x104763))))),f331(f331(f7(x104762,f935(x104762,a923),a923),f333(x104762)),x104761))))),f331(f331(f238(x104762),x104763),f13(x104762,f237(x104762),x104761)))
% 204.32/204.32 [10195]~P114(x101951)+~E(x101953,f2(x101951))+~E(x101952,f2(x101951))+E(f331(f331(f80(x101951),f331(f331(f248(x101951),x101952),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x101951),x101953),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x101951))
% 204.32/204.32 [10335]~P127(x103351)+~P107(f331(f331(f239(x103351),f2(x103351)),x103353))+P107(f331(f331(f239(x103351),x103352),x103353))+~P107(f331(f331(f239(x103351),f331(f331(f248(x103351),x103352),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x103351),x103353),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))))
% 204.32/204.32 [10396]~P114(x103962)+~E(x103961,f2(x103962))+~E(x103963,f2(x103962))+~P107(f331(f331(f240(x103962),f2(x103962)),f331(f331(f80(x103962),f331(f331(f248(x103962),x103963),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f248(x103962),x103961),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))))
% 204.32/204.32 [6937]~P6(x69373,x69372)+~P107(f331(x69371,x69374))+~P107(f331(f331(f333(x69373),x69374),f274(x69373,x69372)))+P107(f331(x69371,f830(x69371,x69372,x69373)))
% 204.32/204.32 [7261]~P6(x72613,x72614)+P107(f331(x72611,x72612))+~P107(f331(x72611,f840(x72611,x72614,x72613)))+~P107(f331(f331(f333(x72613),x72612),f274(x72613,x72614)))
% 204.32/204.32 [8855]P25(x88551,x88552,f834(x88553,x88552,x88554,x88551),x88554,x88553)+~E(f331(f35(x88551),x88554),f331(f35(x88552),x88553))+~P107(f331(f61(x88552),x88553))+~P107(f331(f61(x88551),x88554))
% 204.32/204.32 [9572]E(x95721,x95722)+~E(f664(x95721,x95722,x95724,x95723),f665(x95721,x95722,x95724,x95723))+P107(f331(f331(f333(f934(f928(x95723),f928(x95723))),f331(f331(f256(f928(x95723),f928(x95723)),x95722),x95721)),f151(x95723,x95724)))+P107(f331(f331(f333(f934(f928(x95723),f928(x95723))),f331(f331(f256(f928(x95723),f928(x95723)),x95721),x95722)),f151(x95723,x95724)))
% 204.32/204.32 [5088]~P64(x50882)+~E(x50884,f2(x50882))+~E(x50881,f2(x50882))+E(x50881,f331(f331(f294(x50882),x50883),x50884))
% 204.32/204.32 [5089]~P64(x50891)+~E(x50893,f2(x50891))+~E(x50894,f2(x50891))+E(f331(f331(f294(x50891),x50892),x50893),x50894)
% 204.32/204.32 [5205]~P64(x52052)+E(x52051,f2(x52052))+~E(x52053,f2(x52052))+~E(x52051,f331(f331(f294(x52052),x52054),x52053))
% 204.32/204.32 [5206]~P64(x52062)+E(x52061,f2(x52062))+~E(x52063,f2(x52062))+~E(f331(f331(f294(x52062),x52064),x52063),x52061)
% 204.32/204.32 [5388]~P124(x53882)+E(x53881,f2(x53882))+~E(f331(f331(f294(x53882),x53883),x53881),x53884)+E(x53883,f331(f331(f81(x53882),x53884),x53881))
% 204.32/204.32 [5390]~P124(x53902)+E(x53901,f2(x53902))+~E(f331(f331(f81(x53902),x53903),x53901),x53904)+E(x53903,f331(f331(f294(x53902),x53904),x53901))
% 204.32/204.32 [5391]~P64(x53912)+E(x53911,f2(x53912))+~E(f331(f331(f294(x53912),x53913),x53911),x53914)+E(x53913,f331(f331(f81(x53912),x53914),x53911))
% 204.32/204.32 [5392]~P64(x53922)+E(x53921,f2(x53922))+~E(f331(f331(f81(x53922),x53923),x53921),x53924)+E(x53923,f331(f331(f294(x53922),x53924),x53921))
% 204.32/204.32 [5393]~P124(x53932)+E(x53931,f2(x53932))+~E(x53933,f331(f331(f294(x53932),x53934),x53931))+E(f331(f331(f81(x53932),x53933),x53931),x53934)
% 204.32/204.32 [5395]~P124(x53952)+E(x53951,f2(x53952))+~E(x53953,f331(f331(f81(x53952),x53954),x53951))+E(f331(f331(f294(x53952),x53953),x53951),x53954)
% 204.32/204.32 [5396]~P64(x53962)+E(x53961,f2(x53962))+~E(x53963,f331(f331(f294(x53962),x53964),x53961))+E(f331(f331(f81(x53962),x53963),x53961),x53964)
% 204.32/204.32 [5397]~P64(x53972)+E(x53971,f2(x53972))+~E(x53973,f331(f331(f81(x53972),x53974),x53971))+E(f331(f331(f294(x53972),x53973),x53971),x53974)
% 204.32/204.32 [5422]~P64(x54222)+~E(x54221,f2(x54222))+~E(f331(f331(f81(x54222),x54221),x54224),x54223)+E(x54221,f331(f331(f294(x54222),x54223),x54224))
% 204.32/204.32 [5423]~P64(x54231)+~E(x54234,f2(x54231))+~E(x54232,f331(f331(f81(x54231),x54234),x54233))+E(f331(f331(f294(x54231),x54232),x54233),x54234)
% 204.32/204.32 [5498]~E(x54983,x54984)+~E(x54982,x54983)+~P111(x54981)+E(f307(x54981,x54982,x54983),f331(f331(f313(x54981),x54984),f192(f935(x54981,a923))))
% 204.32/204.32 [5702]~E(f118(x57022,x57021),x57023)+~E(f148(x57022,x57021),x57024)+E(x57021,f117(x57022))+E(f331(f331(f138(x57022),x57023),f331(f331(f155(x57022),x57024),f117(x57022))),x57021)
% 204.32/204.32 [6331]~P127(x63313)+E(x63311,x63312)+~E(f331(f331(f248(x63313),x63314),x63311),f331(f331(f248(x63313),x63314),x63312))+~P107(f331(f331(f240(x63313),f78(x63313)),x63314))
% 204.32/204.32 [6332]E(x63321,x63322)+~E(f331(f331(f313(x63323),x63324),x63321),f331(f331(f313(x63323),x63324),x63322))+P107(f331(f331(f333(x63323),x63324),x63322))+P107(f331(f331(f333(x63323),x63324),x63321))
% 204.32/204.32 [6374]E(f331(x63741,x63742),f78(a927))+~E(f331(f331(f9(x63743,a927),x63741),x63744),f78(a927))+~P107(f331(f61(x63743),x63744))+~P107(f331(f331(f333(x63743),x63742),x63744))
% 204.32/204.32 [6375]E(f331(x63751,x63752),f2(a927))+~E(f331(f331(f6(x63753,a927),x63751),x63754),f2(a927))+~P107(f331(f61(x63753),x63754))+~P107(f331(f331(f333(x63753),x63752),x63754))
% 204.32/204.32 [6594]~P111(x65941)+~P107(f331(f331(f239(x65941),x65944),x65943))+P107(f331(f331(f239(x65941),x65942),x65943))+~P107(f331(f331(f239(x65941),x65942),x65944))
% 204.32/204.32 [6595]~P108(x65951)+~P107(f331(f331(f239(x65951),x65952),x65954))+P107(f331(f331(f239(x65951),x65952),x65953))+~P107(f331(f331(f239(x65951),x65954),x65953))
% 204.32/204.32 [6596]~P111(x65961)+~P107(f331(f331(f240(x65961),x65964),x65963))+P107(f331(f331(f240(x65961),x65962),x65963))+~P107(f331(f331(f239(x65961),x65962),x65964))
% 204.32/204.32 [6597]~P111(x65971)+~P107(f331(f331(f240(x65971),x65972),x65974))+P107(f331(f331(f240(x65971),x65972),x65973))+~P107(f331(f331(f239(x65971),x65974),x65973))
% 204.32/204.32 [6598]~P111(x65981)+~P107(f331(f331(f240(x65981),x65984),x65983))+P107(f331(f331(f240(x65981),x65982),x65983))+~P107(f331(f331(f240(x65981),x65982),x65984))
% 204.32/204.32 [6599]~P108(x65991)+~P107(f331(f331(f240(x65991),x65992),x65994))+P107(f331(f331(f240(x65991),x65992),x65993))+~P107(f331(f331(f239(x65991),x65994),x65993))
% 204.32/204.32 [6600]~P108(x66001)+~P107(f331(f331(f240(x66001),x66004),x66003))+P107(f331(f331(f240(x66001),x66002),x66003))+~P107(f331(f331(f239(x66001),x66002),x66004))
% 204.32/204.32 [6601]~P108(x66011)+~P107(f331(f331(f240(x66011),x66012),x66014))+P107(f331(f331(f240(x66011),x66012),x66013))+~P107(f331(f331(f240(x66011),x66014),x66013))
% 204.32/204.32 [6683]~P36(x66834,x66833,x66832)+E(x66831,f765(x66832,x66833,x66834))+~P107(f331(x66833,x66831))+~P107(f331(f331(f333(x66834),x66831),f331(f176(x66834),x66832)))
% 204.32/204.32 [6684]~P36(x66844,x66843,x66842)+E(x66841,f775(x66842,x66843,x66844))+~P107(f331(x66843,x66841))+~P107(f331(f331(f333(x66844),x66841),f331(f176(x66844),x66842)))
% 204.32/204.32 [6831]~P4(x68311)+~P107(f331(f331(f239(x68311),x68312),f38(x68311,x68314)))+P107(f331(f331(f239(x68311),x68312),x68313))+~P107(f331(f331(f333(x68311),x68313),x68314))
% 204.32/204.32 [6975]~P109(x69751)+~P12(x69751,f331(f331(f155(x69751),x69752),x69754))+~P107(f331(f331(f333(x69751),x69753),f331(f176(x69751),x69754)))+P107(f331(f331(f239(x69751),x69752),x69753))
% 204.32/204.32 [7064]~P4(x70641)+~P107(f331(f331(f239(x70641),f37(x70641,x70644)),x70643))+P107(f331(f331(f239(x70641),x70642),x70643))+~P107(f331(f331(f333(x70641),x70642),x70644))
% 204.32/204.32 [7470]~P109(x74701)+E(f331(f331(f114(f935(x74701,a923)),f331(f306(x74701,x74702),x74703)),f331(f306(x74701,x74703),x74704)),f331(f306(x74701,x74702),x74704))+~P107(f331(f331(f239(x74701),x74703),x74704))+~P107(f331(f331(f239(x74701),x74702),x74703))
% 204.32/204.32 [7514]P36(x75141,x75142,x75143)+~E(f777(x75143,x75142,x75141,x75144),x75144)+~P107(f331(x75142,x75144))+~P107(f331(f331(f333(x75141),x75144),f331(f176(x75141),x75143)))
% 204.32/204.32 [7515]P36(x75151,x75152,x75153)+~E(f786(x75153,x75152,x75151,x75154),x75154)+~P107(f331(x75152,x75154))+~P107(f331(f331(f333(x75151),x75154),f331(f176(x75151),x75153)))
% 204.32/204.32 [7588]~P109(x75881)+E(f331(f331(f114(f935(x75881,a923)),f331(f306(x75881,x75882),x75883)),f307(x75881,x75883,x75884)),f307(x75881,x75882,x75884))+~P107(f331(f331(f239(x75881),x75883),x75884))+~P107(f331(f331(f239(x75881),x75882),x75883))
% 204.32/204.32 [7651]~P109(x76511)+E(f331(f331(f114(f935(x76511,a923)),f310(x76511,x76512,x76513)),f331(f306(x76511,x76513),x76514)),f310(x76511,x76512,x76514))+~P107(f331(f331(f239(x76511),x76513),x76514))+~P107(f331(f331(f240(x76511),x76512),x76513))
% 204.32/204.32 [7668]~P109(x76681)+E(f331(f331(f114(f935(x76681,a923)),f307(x76681,x76682,x76683)),f310(x76681,x76683,x76684)),f331(f306(x76681,x76682),x76684))+~P107(f331(f331(f239(x76681),x76682),x76683))+~P107(f331(f331(f240(x76681),x76683),x76684))
% 204.32/204.32 [7699]~P109(x76991)+E(f331(f331(f114(f935(x76991,a923)),f307(x76991,x76992,x76993)),f309(x76991,x76993,x76994)),f307(x76991,x76992,x76994))+~P107(f331(f331(f239(x76991),x76993),x76994))+~P107(f331(f331(f239(x76991),x76992),x76993))
% 204.32/204.32 [7700]~P109(x77001)+E(f331(f331(f114(f935(x77001,a923)),f309(x77001,x77002,x77003)),f309(x77001,x77003,x77004)),f309(x77001,x77002,x77004))+~P107(f331(f331(f239(x77001),x77003),x77004))+~P107(f331(f331(f239(x77001),x77002),x77003))
% 204.32/204.32 [7701]~P109(x77011)+E(f331(f331(f114(f935(x77011,a923)),f309(x77011,x77012,x77013)),f310(x77011,x77013,x77014)),f310(x77011,x77012,x77014))+~P107(f331(f331(f239(x77011),x77012),x77013))+~P107(f331(f331(f240(x77011),x77013),x77014))
% 204.32/204.32 [7702]~P109(x77021)+E(f331(f331(f114(f935(x77021,a923)),f310(x77021,x77022,x77023)),f307(x77021,x77023,x77024)),f309(x77021,x77022,x77024))+~P107(f331(f331(f239(x77021),x77023),x77024))+~P107(f331(f331(f240(x77021),x77022),x77023))
% 204.32/204.32 [8490]P24(x84901,x84902,f542(x84903,x84902,x84904,x84901),x84904)+~P107(f331(f61(x84902),x84903))+~P107(f331(f61(x84901),x84904))+~P107(f331(f331(f239(a927),f331(f35(x84901),x84904)),f331(f35(x84902),x84903)))
% 204.32/204.32 [8511]P36(x85111,x85112,x85113)+~P107(f331(x85112,x85114))+P107(f331(x85112,f777(x85113,x85112,x85111,x85114)))+~P107(f331(f331(f333(x85111),x85114),f331(f176(x85111),x85113)))
% 204.32/204.32 [8512]P36(x85121,x85122,x85123)+~P107(f331(x85122,x85124))+P107(f331(x85122,f786(x85123,x85122,x85121,x85124)))+~P107(f331(f331(f333(x85121),x85124),f331(f176(x85121),x85123)))
% 204.32/204.32 [8566]~P71(x85661)+~E(f331(x85663,f494(x85663,x85664,x85662,x85661)),f78(x85661))+E(f331(f331(f331(f65(x85661,x85662,f81(x85661)),x85663),f78(x85661)),x85664),f78(x85661))+~P107(f331(f61(x85662),x85664))
% 204.32/204.32 [8844]~P127(x88441)+~P107(f331(f331(f239(x88441),f2(x88441)),x88443))+P107(f331(f331(f239(x88441),x88442),x88443))+~P107(f331(f331(f239(x88441),f331(f331(f248(x88441),x88442),f331(a116,x88444))),f331(f331(f248(x88441),x88443),f331(a116,x88444))))
% 204.32/204.32 [9162]P36(x91621,x91622,x91623)+~P107(f331(x91622,x91624))+~P107(f331(f331(f333(x91621),x91624),f331(f176(x91621),x91623)))+P107(f331(f331(f333(x91621),f777(x91623,x91622,x91621,x91624)),f331(f176(x91621),x91623)))
% 204.32/204.32 [9163]P36(x91631,x91632,x91633)+~P107(f331(x91632,x91634))+~P107(f331(f331(f333(x91631),x91634),f331(f176(x91631),x91633)))+P107(f331(f331(f333(x91631),f786(x91633,x91632,x91631,x91634)),f331(f176(x91631),x91633)))
% 204.32/204.32 [9242]~P71(x92421)+E(f331(f331(f331(f65(x92421,x92422,f81(x92421)),x92423),f78(x92421)),x92424),f78(x92421))+~P107(f331(f61(x92422),x92424))+P107(f331(f331(f333(x92422),f494(x92423,x92424,x92422,x92421)),x92424))
% 204.32/204.32 [9746]~P107(f331(f331(f291(a927),x97461),x97463))+~P107(f331(f331(f291(a927),x97461),x97462))+~P107(f331(f331(f291(a927),x97464),x97463))+~P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x97461,x97463)),f300(a927,f291(a927),x97462,x97464)))
% 204.32/204.32 [9751]~P107(f331(f331(f239(a1),x97514),f2(a1)))+P107(f331(f331(f239(a1),f331(f331(f80(a1),f331(f331(f81(a1),x97511),f45(a1,x97512,x97513))),x97514)),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x97513))+~P107(f331(f331(f240(a1),x97511),x97514))
% 204.32/204.32 [10188]~P107(f331(f61(x101881),x101882))+~P107(f331(f331(f333(x101881),x101884),x101882))+~P107(f331(f331(f333(x101881),x101883),x101882))+P107(f331(f331(f240(a927),f331(f35(x101881),f331(f331(f23(f935(x101881,a923)),f331(f331(f23(f935(x101881,a923)),x101882),f331(f331(f313(x101881),x101883),f192(f935(x101881,a923))))),f331(f331(f313(x101881),x101884),f192(f935(x101881,a923)))))),f331(f35(x101881),x101882)))
% 204.32/204.32 [7178]~P103(x71781)+~P107(f331(f331(f239(x71781),x71782),x71784))+~P107(f331(f331(f239(x71781),x71782),x71783))+P107(f331(f331(f239(x71781),x71782),f331(f331(f105(x71781),x71783),x71784)))
% 204.32/204.32 [7181]~P109(x71811)+~P107(f331(f331(f239(x71811),x71812),x71814))+~P107(f331(f331(f239(x71811),x71812),x71813))+P107(f331(f331(f239(x71811),x71812),f331(f331(f237(x71811),x71813),x71814)))
% 204.32/204.32 [7182]~P109(x71821)+~P107(f331(f331(f240(x71821),x71822),x71824))+~P107(f331(f331(f240(x71821),x71822),x71823))+P107(f331(f331(f240(x71821),x71822),f331(f331(f237(x71821),x71823),x71824)))
% 204.32/204.32 [7183]~P120(x71831)+~P107(f331(f331(f291(x71831),x71832),x71834))+~P107(f331(f331(f291(x71831),x71832),x71833))+P107(f331(f331(f291(x71831),x71832),f331(f331(f80(x71831),x71833),x71834)))
% 204.32/204.32 [7203]~P65(x72032)+E(x72031,f2(x72032))+E(f331(f331(f294(x72032),f331(f331(f248(x72032),x72031),x72033)),f331(f331(f248(x72032),x72031),x72034)),f331(f331(f248(x72032),x72031),f331(f331(f23(a927),x72033),x72034)))+~P107(f331(f331(f239(a927),x72034),x72033))
% 204.32/204.32 [7248]~P109(x72481)+~P12(x72481,f331(f331(f155(x72481),x72483),x72484))+P12(x72481,f331(f331(f155(x72481),x72482),f331(f331(f155(x72481),x72483),x72484)))+~P107(f331(f331(f239(x72481),x72482),x72483))
% 204.32/204.32 [7286]~P90(x72861)+~P107(f331(f331(f239(x72861),f2(x72861)),x72864))+~P107(f331(f331(f239(x72861),x72862),x72863))+P107(f331(f331(f239(x72861),x72862),f331(f331(f80(x72861),x72863),x72864)))
% 204.32/204.32 [7287]~P90(x72871)+~P107(f331(f331(f239(x72871),f2(x72871)),x72873))+~P107(f331(f331(f239(x72871),x72872),x72874))+P107(f331(f331(f239(x72871),x72872),f331(f331(f80(x72871),x72873),x72874)))
% 204.32/204.32 [7288]~P127(x72881)+~P107(f331(f331(f240(x72881),f2(x72881)),x72883))+~P107(f331(f331(f240(x72881),x72882),x72884))+P107(f331(f331(f240(x72881),x72882),f331(f331(f80(x72881),x72883),x72884)))
% 204.32/204.32 [7289]~P90(x72891)+~P107(f331(f331(f239(x72891),x72892),x72894))+~P107(f331(f331(f240(x72891),f2(x72891)),x72893))+P107(f331(f331(f240(x72891),x72892),f331(f331(f80(x72891),x72893),x72894)))
% 204.32/204.32 [7290]~P90(x72901)+~P107(f331(f331(f239(x72901),f2(x72901)),x72903))+~P107(f331(f331(f240(x72901),x72902),x72904))+P107(f331(f331(f240(x72901),x72902),f331(f331(f80(x72901),x72903),x72904)))
% 204.32/204.32 [7331]~P109(x73311)+P107(f331(f331(f239(x73311),x73312),x73313))+P107(f331(f331(f239(x73311),x73312),x73314))+~P107(f331(f331(f239(x73311),x73312),f331(f331(f238(x73311),x73314),x73313)))
% 204.32/204.32 [7332]~P109(x73321)+P107(f331(f331(f240(x73321),x73322),x73323))+P107(f331(f331(f240(x73321),x73322),x73324))+~P107(f331(f331(f240(x73321),x73322),f331(f331(f238(x73321),x73324),x73323)))
% 204.32/204.32 [7622]~P111(x76222)+~P63(x76221)+~P107(f331(f331(f240(f935(x76221,x76222)),x76223),x76224))+P107(f331(f331(f239(f935(x76221,x76222)),x76223),x76224))
% 204.32/204.32 [7986]~P67(x79861)+~P107(f331(f331(f240(x79861),x79864),f2(x79861)))+~P107(f331(f331(f239(x79861),x79863),f331(f331(f294(x79861),x79862),x79864)))+P107(f331(f331(f239(x79861),x79862),f331(f331(f81(x79861),x79863),x79864)))
% 204.32/204.32 [7987]~P67(x79871)+~P107(f331(f331(f240(x79871),x79874),f2(x79871)))+~P107(f331(f331(f239(x79871),x79873),f331(f331(f81(x79871),x79872),x79874)))+P107(f331(f331(f239(x79871),x79872),f331(f331(f294(x79871),x79873),x79874)))
% 204.32/204.32 [7988]~P67(x79881)+~P107(f331(f331(f240(x79881),x79884),f2(x79881)))+~P107(f331(f331(f240(x79881),x79883),f331(f331(f294(x79881),x79882),x79884)))+P107(f331(f331(f240(x79881),x79882),f331(f331(f81(x79881),x79883),x79884)))
% 204.32/204.32 [7989]~P67(x79891)+~P107(f331(f331(f240(x79891),x79894),f2(x79891)))+~P107(f331(f331(f240(x79891),x79893),f331(f331(f81(x79891),x79892),x79894)))+P107(f331(f331(f240(x79891),x79892),f331(f331(f294(x79891),x79893),x79894)))
% 204.32/204.32 [8097]~P113(x80971)+~P107(f331(f331(f239(x80971),x80972),f2(x80971)))+~P107(f331(f331(f239(x80971),x80974),x80973))+P107(f331(f331(f239(x80971),f331(f331(f81(x80971),x80972),x80973)),f331(f331(f81(x80971),x80972),x80974)))
% 204.32/204.32 [8098]~P129(x80981)+~P107(f331(f331(f240(x80981),x80982),f2(x80981)))+~P107(f331(f331(f239(x80981),x80984),x80983))+P107(f331(f331(f239(x80981),f331(f331(f81(x80981),x80982),x80983)),f331(f331(f81(x80981),x80982),x80984)))
% 204.32/204.32 [8099]~P113(x80991)+~P107(f331(f331(f239(x80991),x80993),f2(x80991)))+~P107(f331(f331(f239(x80991),x80994),x80992))+P107(f331(f331(f239(x80991),f331(f331(f81(x80991),x80992),x80993)),f331(f331(f81(x80991),x80994),x80993)))
% 204.32/204.32 [8100]~P66(x81001)+~P107(f331(f331(f239(x81001),x81003),f2(x81001)))+~P107(f331(f331(f239(x81001),x81004),x81002))+P107(f331(f331(f239(x81001),f331(f331(f294(x81001),x81002),x81003)),f331(f331(f294(x81001),x81004),x81003)))
% 204.32/204.32 [8104]~P129(x81041)+~P107(f331(f331(f240(x81041),x81043),f2(x81041)))+~P107(f331(f331(f240(x81041),x81044),x81042))+P107(f331(f331(f240(x81041),f331(f331(f81(x81041),x81042),x81043)),f331(f331(f81(x81041),x81044),x81043)))
% 204.32/204.32 [8105]~P129(x81051)+~P107(f331(f331(f240(x81051),x81052),f2(x81051)))+~P107(f331(f331(f240(x81051),x81054),x81053))+P107(f331(f331(f240(x81051),f331(f331(f81(x81051),x81052),x81053)),f331(f331(f81(x81051),x81052),x81054)))
% 204.32/204.32 [8106]~P67(x81061)+~P107(f331(f331(f240(x81061),x81063),f2(x81061)))+~P107(f331(f331(f240(x81061),x81064),x81062))+P107(f331(f331(f240(x81061),f331(f331(f294(x81061),x81062),x81063)),f331(f331(f294(x81061),x81064),x81063)))
% 204.32/204.32 [8107]~P127(x81071)+~P107(f331(f331(f240(x81071),f78(x81071)),x81072))+~P107(f331(f331(f239(a927),x81073),x81074))+P107(f331(f331(f239(x81071),f331(f331(f248(x81071),x81072),x81073)),f331(f331(f248(x81071),x81072),x81074)))
% 204.32/204.32 [8108]~P127(x81081)+~P107(f331(f331(f239(x81081),f78(x81081)),x81082))+~P107(f331(f331(f239(a927),x81083),x81084))+P107(f331(f331(f239(x81081),f331(f331(f248(x81081),x81082),x81083)),f331(f331(f248(x81081),x81082),x81084)))
% 204.32/204.32 [8110]~P127(x81101)+~P107(f331(f331(f240(x81101),f78(x81101)),x81102))+~P107(f331(f331(f240(a927),x81103),x81104))+P107(f331(f331(f240(x81101),f331(f331(f248(x81101),x81102),x81103)),f331(f331(f248(x81101),x81102),x81104)))
% 204.32/204.32 [8137]P107(f331(f331(f240(a927),f2(a927)),f331(x81371,x81372)))+~P107(f331(f61(x81373),x81374))+~P107(f331(f331(f333(x81373),x81372),x81374))+~P107(f331(f331(f240(a927),f2(a927)),f331(f331(f9(x81373,a927),x81371),x81374)))
% 204.32/204.32 [8145]~P129(x81451)+~P107(f331(f331(f240(x81451),f2(x81451)),x81452))+~P107(f331(f331(f239(x81451),x81453),x81454))+P107(f331(f331(f239(x81451),f331(f331(f81(x81451),x81452),x81453)),f331(f331(f81(x81451),x81452),x81454)))
% 204.32/204.32 [8146]~P138(x81461)+~P107(f331(f331(f239(x81461),x81463),x81464))+~P107(f331(f331(f239(x81461),f2(x81461)),x81462))+P107(f331(f331(f239(x81461),f331(f331(f81(x81461),x81462),x81463)),f331(f331(f81(x81461),x81462),x81464)))
% 204.32/204.32 [8147]~P137(x81471)+~P107(f331(f331(f239(x81471),x81473),x81474))+~P107(f331(f331(f239(x81471),f2(x81471)),x81472))+P107(f331(f331(f239(x81471),f331(f331(f81(x81471),x81472),x81473)),f331(f331(f81(x81471),x81472),x81474)))
% 204.32/204.32 [8148]~P138(x81481)+~P107(f331(f331(f239(x81481),x81482),x81484))+~P107(f331(f331(f239(x81481),f2(x81481)),x81483))+P107(f331(f331(f239(x81481),f331(f331(f81(x81481),x81482),x81483)),f331(f331(f81(x81481),x81484),x81483)))
% 204.32/204.32 [8149]~P127(x81491)+~P107(f331(f331(f239(x81491),x81492),x81494))+~P107(f331(f331(f239(x81491),f2(x81491)),x81492))+P107(f331(f331(f239(x81491),f331(f331(f248(x81491),x81492),x81493)),f331(f331(f248(x81491),x81494),x81493)))
% 204.32/204.32 [8150]~P66(x81501)+~P107(f331(f331(f239(x81501),x81502),x81504))+~P107(f331(f331(f239(x81501),f2(x81501)),x81503))+P107(f331(f331(f239(x81501),f331(f331(f294(x81501),x81502),x81503)),f331(f331(f294(x81501),x81504),x81503)))
% 204.32/204.32 [8152]~P131(x81521)+~P107(f331(f331(f240(x81521),x81523),x81524))+~P107(f331(f331(f240(x81521),f2(x81521)),x81522))+P107(f331(f331(f240(x81521),f331(f331(f81(x81521),x81522),x81523)),f331(f331(f81(x81521),x81522),x81524)))
% 204.32/204.32 [8153]~P121(x81531)+~P107(f331(f331(f240(x81531),x81533),x81534))+~P107(f331(f331(f240(x81531),f2(x81531)),x81532))+P107(f331(f331(f240(x81531),f331(f331(f81(x81531),x81532),x81533)),f331(f331(f81(x81531),x81532),x81534)))
% 204.32/204.32 [8154]~P129(x81541)+~P107(f331(f331(f240(x81541),x81542),x81544))+~P107(f331(f331(f240(x81541),f2(x81541)),x81543))+P107(f331(f331(f240(x81541),f331(f331(f81(x81541),x81542),x81543)),f331(f331(f81(x81541),x81544),x81543)))
% 204.32/204.32 [8155]~P131(x81551)+~P107(f331(f331(f240(x81551),x81552),x81554))+~P107(f331(f331(f240(x81551),f2(x81551)),x81553))+P107(f331(f331(f240(x81551),f331(f331(f81(x81551),x81552),x81553)),f331(f331(f81(x81551),x81554),x81553)))
% 204.32/204.32 [8156]~P129(x81561)+~P107(f331(f331(f240(x81561),x81563),x81564))+~P107(f331(f331(f240(x81561),f2(x81561)),x81562))+P107(f331(f331(f240(x81561),f331(f331(f81(x81561),x81562),x81563)),f331(f331(f81(x81561),x81562),x81564)))
% 204.32/204.32 [8157]~P67(x81571)+~P107(f331(f331(f240(x81571),x81572),x81574))+~P107(f331(f331(f240(x81571),f2(x81571)),x81573))+P107(f331(f331(f240(x81571),f331(f331(f294(x81571),x81572),x81573)),f331(f331(f294(x81571),x81574),x81573)))
% 204.32/204.32 [8199]~P110(x81992)+P107(f331(f331(f240(f935(x81991,x81992)),x81994),x81993))+~P107(f331(f331(f239(f935(x81991,x81992)),x81994),x81993))+P107(f331(f331(f239(f935(x81991,x81992)),x81993),x81994))
% 204.32/204.32 [8242]P107(f331(f331(f333(x82421),x82422),x82423))+P107(f331(f331(f333(x82421),x82422),x82424))+~P107(f331(f331(f239(f935(x82421,a923)),x82424),x82423))+P107(f331(f331(f240(f935(x82421,a923)),x82424),f331(f331(f313(x82421),x82422),x82423)))
% 204.32/204.32 [8402]P107(f331(f331(f333(x84021),x84022),x84023))+P107(f331(f331(f333(x84021),x84022),x84024))+~P107(f331(f331(f240(f935(x84021,a923)),x84024),f331(f331(f313(x84021),x84022),x84023)))+P107(f331(f331(f239(f935(x84021,a923)),x84024),x84023))
% 204.32/204.32 [8468]~P129(x84681)+P107(f331(f331(f240(x84681),x84683),x84682))+P107(f331(f331(f240(x84681),x84682),x84683))+~P107(f331(f331(f240(x84681),f331(f331(f81(x84681),x84684),x84682)),f331(f331(f81(x84681),x84684),x84683)))
% 204.32/204.32 [8469]~P129(x84691)+P107(f331(f331(f240(x84691),x84693),x84692))+P107(f331(f331(f240(x84691),x84692),x84693))+~P107(f331(f331(f240(x84691),f331(f331(f81(x84691),x84692),x84694)),f331(f331(f81(x84691),x84693),x84694)))
% 204.32/204.32 [8480]~P129(x84801)+P107(f331(f331(f240(x84801),x84804),f2(x84801)))+P107(f331(f331(f240(x84801),x84802),x84803))+~P107(f331(f331(f240(x84801),f331(f331(f81(x84801),x84802),x84804)),f331(f331(f81(x84801),x84803),x84804)))
% 204.32/204.32 [8481]~P129(x84811)+P107(f331(f331(f240(x84811),x84814),f2(x84811)))+P107(f331(f331(f240(x84811),x84812),x84813))+~P107(f331(f331(f240(x84811),f331(f331(f81(x84811),x84814),x84812)),f331(f331(f81(x84811),x84814),x84813)))
% 204.32/204.32 [8484]~P129(x84841)+P107(f331(f331(f240(x84841),x84842),x84843))+P107(f331(f331(f240(x84841),f2(x84841)),x84844))+~P107(f331(f331(f240(x84841),f331(f331(f81(x84841),x84844),x84843)),f331(f331(f81(x84841),x84844),x84842)))
% 204.32/204.32 [8485]~P129(x84851)+P107(f331(f331(f240(x84851),x84852),x84853))+P107(f331(f331(f240(x84851),f2(x84851)),x84854))+~P107(f331(f331(f240(x84851),f331(f331(f81(x84851),x84853),x84854)),f331(f331(f81(x84851),x84852),x84854)))
% 204.32/204.32 [8498]~P129(x84981)+P107(f331(f331(f240(x84981),x84982),f2(x84981)))+P107(f331(f331(f240(x84981),f2(x84981)),x84982))+~P107(f331(f331(f240(x84981),f331(f331(f81(x84981),x84983),x84982)),f331(f331(f81(x84981),x84984),x84982)))
% 204.32/204.32 [8499]~P129(x84991)+P107(f331(f331(f240(x84991),x84992),f2(x84991)))+P107(f331(f331(f240(x84991),f2(x84991)),x84992))+~P107(f331(f331(f240(x84991),f331(f331(f81(x84991),x84992),x84993)),f331(f331(f81(x84991),x84992),x84994)))
% 204.32/204.32 [8528]~P129(x85281)+~P107(f331(f331(f240(x85281),x85284),f2(x85281)))+P107(f331(f331(f239(x85281),x85282),x85283))+~P107(f331(f331(f239(x85281),f331(f331(f81(x85281),x85284),x85283)),f331(f331(f81(x85281),x85284),x85282)))
% 204.32/204.32 [8529]~P129(x85291)+~P107(f331(f331(f240(x85291),x85294),f2(x85291)))+P107(f331(f331(f240(x85291),x85292),x85293))+~P107(f331(f331(f240(x85291),f331(f331(f81(x85291),x85294),x85293)),f331(f331(f81(x85291),x85294),x85292)))
% 204.32/204.32 [8540]~P127(x85403)+~P107(f331(f331(f240(x85403),f78(x85403)),x85404))+P107(f331(f331(f239(a927),x85401),x85402))+~P107(f331(f331(f239(x85403),f331(f331(f248(x85403),x85404),x85401)),f331(f331(f248(x85403),x85404),x85402)))
% 204.32/204.32 [8542]~P127(x85423)+~P107(f331(f331(f240(x85423),f78(x85423)),x85424))+P107(f331(f331(f240(a927),x85421),x85422))+~P107(f331(f331(f240(x85423),f331(f331(f248(x85423),x85424),x85421)),f331(f331(f248(x85423),x85424),x85422)))
% 204.32/204.32 [8552]~P129(x85521)+P107(f331(f331(f239(x85521),x85522),x85523))+~P107(f331(f331(f240(x85521),f2(x85521)),x85524))+~P107(f331(f331(f239(x85521),f331(f331(f81(x85521),x85524),x85522)),f331(f331(f81(x85521),x85524),x85523)))
% 204.32/204.32 [8553]~P131(x85531)+P107(f331(f331(f239(x85531),x85532),x85533))+~P107(f331(f331(f240(x85531),f2(x85531)),x85534))+~P107(f331(f331(f239(x85531),f331(f331(f81(x85531),x85534),x85532)),f331(f331(f81(x85531),x85534),x85533)))
% 204.32/204.32 [8554]~P131(x85541)+P107(f331(f331(f239(x85541),x85542),x85543))+~P107(f331(f331(f240(x85541),f2(x85541)),x85544))+~P107(f331(f331(f239(x85541),f331(f331(f81(x85541),x85542),x85544)),f331(f331(f81(x85541),x85543),x85544)))
% 204.32/204.32 [8555]~P129(x85551)+P107(f331(f331(f240(x85551),x85552),x85553))+~P107(f331(f331(f240(x85551),f2(x85551)),x85554))+~P107(f331(f331(f240(x85551),f331(f331(f81(x85551),x85554),x85552)),f331(f331(f81(x85551),x85554),x85553)))
% 204.32/204.32 [8556]~P131(x85561)+P107(f331(f331(f240(x85561),x85562),x85563))+~P107(f331(f331(f239(x85561),f2(x85561)),x85564))+~P107(f331(f331(f240(x85561),f331(f331(f81(x85561),x85564),x85562)),f331(f331(f81(x85561),x85564),x85563)))
% 204.32/204.32 [8557]~P132(x85571)+P107(f331(f331(f240(x85571),x85572),x85573))+~P107(f331(f331(f239(x85571),f2(x85571)),x85574))+~P107(f331(f331(f240(x85571),f331(f331(f81(x85571),x85574),x85572)),f331(f331(f81(x85571),x85574),x85573)))
% 204.32/204.32 [8558]~P127(x85581)+~P107(f331(f331(f239(x85581),f2(x85581)),x85583))+P107(f331(f331(f240(x85581),x85582),x85583))+~P107(f331(f331(f240(x85581),f331(f331(f248(x85581),x85582),x85584)),f331(f331(f248(x85581),x85583),x85584)))
% 204.32/204.32 [8559]~P131(x85591)+P107(f331(f331(f240(x85591),x85592),x85593))+~P107(f331(f331(f239(x85591),f2(x85591)),x85594))+~P107(f331(f331(f240(x85591),f331(f331(f81(x85591),x85592),x85594)),f331(f331(f81(x85591),x85593),x85594)))
% 204.32/204.32 [8560]~P132(x85601)+P107(f331(f331(f240(x85601),x85602),x85603))+~P107(f331(f331(f239(x85601),f2(x85601)),x85604))+~P107(f331(f331(f240(x85601),f331(f331(f81(x85601),x85602),x85604)),f331(f331(f81(x85601),x85603),x85604)))
% 204.32/204.32 [8604]P107(f331(f331(f333(x86041),x86042),x86043))+~P107(f331(f331(f239(f935(x86041,a923)),x86043),x86044))+~P107(f331(f331(f240(f935(x86041,a923)),x86043),x86044))+P107(f331(f331(f240(f935(x86041,a923)),x86043),f331(f331(f313(x86041),x86042),x86044)))
% 204.32/204.32 [8994]E(f331(f331(f23(a1),f404(x89941,x89942,x89943,x89944)),f405(x89941,x89942,x89943,x89944)),x89944)+~P107(f331(f331(f240(a1),f2(a1)),x89943))+~P107(f331(f331(f239(a1),x89941),x89944))+P107(f331(f331(f239(a1),x89941),f331(f331(f80(a1),x89944),x89943)))
% 204.32/204.32 [8995]E(f331(f331(f23(a1),f430(x89951,x89952,x89953,x89954)),f431(x89951,x89952,x89953,x89954)),x89954)+~P107(f331(f331(f240(a1),f2(a1)),x89953))+~P107(f331(f331(f240(a1),x89951),x89954))+P107(f331(f331(f240(a1),x89951),f331(f331(f80(a1),x89954),x89953)))
% 204.32/204.32 [9145]~E(f331(f331(f168(x91451),x91453),f683(x91454,x91453,x91451,x91452)),f331(f331(f168(x91451),x91454),f683(x91454,x91453,x91451,x91452)))+E(f331(f331(f179(x91451),x91452),x91453),f331(f331(f179(x91451),x91452),x91454))+~P107(f331(f331(f239(a927),x91452),f331(f193(f928(x91451)),x91453)))+~P107(f331(f331(f239(a927),x91452),f331(f193(f928(x91451)),x91454)))
% 204.32/204.32 [9209]~P107(f331(f331(f240(a1),f2(a1)),x92093))+~P107(f331(f331(f239(a1),x92091),x92094))+P107(f331(f331(f333(a1),f404(x92091,x92092,x92093,x92094)),x92092))+P107(f331(f331(f239(a1),x92091),f331(f331(f80(a1),x92094),x92093)))
% 204.32/204.32 [9210]~P107(f331(f331(f240(a1),f2(a1)),x92103))+~P107(f331(f331(f240(a1),x92101),x92104))+P107(f331(f331(f333(a1),f430(x92101,x92102,x92103,x92104)),x92102))+P107(f331(f331(f240(a1),x92101),f331(f331(f80(a1),x92104),x92103)))
% 204.32/204.32 [9251]~P103(x92511)+~P107(f331(f61(x92511),x92513))+~P107(f331(f331(f333(x92511),x92514),x92513))+P107(f331(f331(f239(x92511),f331(f331(f64(x92511,x92511,f105(x92511)),x92512),x92513)),f331(f331(f105(x92511),x92514),x92512)))
% 204.32/204.32 [9252]~P109(x92521)+~P107(f331(f61(x92521),x92523))+~P107(f331(f331(f333(x92521),x92524),x92523))+P107(f331(f331(f239(x92521),f331(f331(f64(x92521,x92521,f237(x92521)),x92522),x92523)),f331(f331(f237(x92521),x92524),x92522)))
% 204.32/204.32 [9298]E(f331(f331(f179(x92981),x92982),x92983),f331(f331(f179(x92981),x92982),x92984))+P107(f331(f331(f240(a927),f683(x92983,x92984,x92981,x92982)),x92982))+~P107(f331(f331(f239(a927),x92982),f331(f193(f928(x92981)),x92983)))+~P107(f331(f331(f239(a927),x92982),f331(f193(f928(x92981)),x92984)))
% 204.32/204.32 [9303]~P107(f331(f331(f240(a1),f2(a1)),x93033))+~P107(f331(f331(f239(a1),x93031),x93032))+P107(f331(f331(f333(a1),f405(x93031,x93034,x93033,x93032)),f307(a1,f78(a1),x93033)))+P107(f331(f331(f239(a1),x93031),f331(f331(f80(a1),x93032),x93033)))
% 204.32/204.32 [9304]~P107(f331(f331(f240(a1),f2(a1)),x93043))+~P107(f331(f331(f240(a1),x93041),x93042))+P107(f331(f331(f333(a1),f431(x93041,x93044,x93043,x93042)),f307(a1,f78(a1),x93043)))+P107(f331(f331(f240(a1),x93041),f331(f331(f80(a1),x93042),x93043)))
% 204.32/204.32 [9632]~P102(x96321)+~P107(f331(f61(x96321),x96324))+P107(f331(f331(f333(x96321),f890(x96322,x96323,x96324,x96321)),x96324))+P107(f331(f331(f239(x96321),f331(f331(f64(x96321,x96321,f114(x96321)),x96322),x96324)),f331(f331(f114(x96321),x96323),x96322)))
% 204.32/204.32 [9633]~P109(x96331)+~P107(f331(f61(x96331),x96334))+P107(f331(f331(f333(x96331),f497(x96332,x96333,x96334,x96331)),x96334))+P107(f331(f331(f239(x96331),f331(f331(f64(x96331,x96331,f238(x96331)),x96332),x96334)),f331(f331(f238(x96331),x96333),x96332)))
% 204.32/204.32 [9768]~P102(x97681)+~P107(f331(f61(x97681),x97683))+~P107(f331(f331(f239(x97681),f890(x97682,x97684,x97683,x97681)),x97684))+P107(f331(f331(f239(x97681),f331(f331(f64(x97681,x97681,f114(x97681)),x97682),x97683)),f331(f331(f114(x97681),x97684),x97682)))
% 204.32/204.32 [9769]~P109(x97691)+~P107(f331(f61(x97691),x97693))+~P107(f331(f331(f239(x97691),f497(x97692,x97694,x97693,x97691)),x97694))+P107(f331(f331(f239(x97691),f331(f331(f64(x97691,x97691,f238(x97691)),x97692),x97693)),f331(f331(f238(x97691),x97694),x97692)))
% 204.32/204.32 [9771]~P107(f331(f331(f239(a1),f2(a1)),x97714))+~P107(f331(f331(f240(a1),f2(a1)),x97713))+~P107(f331(f331(f240(a1),x97714),x97711))+P107(f331(f331(f240(a1),f331(f331(f80(a1),f331(f331(f81(a1),x97711),f45(a1,x97712,x97713))),x97714)),f331(f331(f81(a1),x97711),x97713)))
% 204.32/204.32 [10158]E(x101581,x101582)+P107(f331(f331(f333(f934(f928(x101583),f928(x101583))),f331(f331(f256(f928(x101583),f928(x101583)),x101582),x101581)),f151(x101583,x101584)))+P107(f331(f331(f333(f934(f928(x101583),f928(x101583))),f331(f331(f256(f928(x101583),f928(x101583)),x101581),x101582)),f151(x101583,x101584)))+~P107(f331(f331(f333(f934(x101583,x101583)),f331(f331(f256(x101583,x101583),f664(x101581,x101582,x101584,x101583)),f665(x101581,x101582,x101584,x101583))),x101584))
% 204.32/204.32 [10159]E(x101591,x101592)+P107(f331(f331(f333(f934(f928(x101593),f928(x101593))),f331(f331(f256(f928(x101593),f928(x101593)),x101592),x101591)),f151(x101593,x101594)))+P107(f331(f331(f333(f934(f928(x101593),f928(x101593))),f331(f331(f256(f928(x101593),f928(x101593)),x101591),x101592)),f151(x101593,x101594)))+~P107(f331(f331(f333(f934(x101593,x101593)),f331(f331(f256(x101593,x101593),f665(x101591,x101592,x101594,x101593)),f664(x101591,x101592,x101594,x101593))),x101594))
% 204.32/204.32 [7690]~P102(x76901)+~P107(f331(f331(f239(x76901),x76903),x76904))+~P107(f331(f331(f239(x76901),x76902),x76904))+P107(f331(f331(f239(x76901),f331(f331(f114(x76901),x76902),x76903)),x76904))
% 204.32/204.32 [7693]~P109(x76931)+~P107(f331(f331(f239(x76931),x76933),x76934))+~P107(f331(f331(f239(x76931),x76932),x76934))+P107(f331(f331(f239(x76931),f331(f331(f238(x76931),x76932),x76933)),x76934))
% 204.32/204.32 [7694]~P109(x76941)+~P107(f331(f331(f240(x76941),x76943),x76944))+~P107(f331(f331(f240(x76941),x76942),x76944))+P107(f331(f331(f240(x76941),f331(f331(f238(x76941),x76942),x76943)),x76944))
% 204.32/204.32 [7928]~P61(x79281)+E(f331(f331(f80(x79281),f331(f331(f36(x79281),x79282),x79283)),f331(f331(f36(x79281),x79284),x79283)),f331(f331(f36(x79281),f331(f331(f80(x79281),x79282),x79284)),x79283))+~P107(f331(f331(f291(x79281),x79283),x79284))+~P107(f331(f331(f291(x79281),x79283),x79282))
% 204.32/204.32 [8011]~E(x80111,x80113)+E(f143(a927,f331(f306(a927,x80111),x80112)),f331(f331(f155(a927),x80113),x80114))+~E(f143(a927,f331(f306(a927,f331(f331(f80(a927),x80111),f78(a927))),x80112)),x80114)+~P107(f331(f331(f240(a927),x80111),x80112))
% 204.32/204.32 [8021]~P109(x80211)+P107(f331(f331(f239(x80211),x80212),x80213))+P107(f331(f331(f239(x80211),x80214),x80213))+~P107(f331(f331(f239(x80211),f331(f331(f237(x80211),x80214),x80212)),x80213))
% 204.32/204.32 [8022]~P109(x80221)+P107(f331(f331(f240(x80221),x80222),x80223))+P107(f331(f331(f240(x80221),x80224),x80223))+~P107(f331(f331(f240(x80221),f331(f331(f237(x80221),x80224),x80222)),x80223))
% 204.32/204.32 [8303]~P66(x83031)+~P107(f331(f331(f240(x83031),f2(x83031)),x83033))+~P107(f331(f331(f239(x83031),x83032),f331(f331(f294(x83031),x83034),x83033)))+P107(f331(f331(f239(x83031),f331(f331(f81(x83031),x83032),x83033)),x83034))
% 204.32/204.32 [8304]~P67(x83041)+~P107(f331(f331(f240(x83041),f2(x83041)),x83043))+~P107(f331(f331(f239(x83041),x83042),f331(f331(f294(x83041),x83044),x83043)))+P107(f331(f331(f239(x83041),f331(f331(f81(x83041),x83042),x83043)),x83044))
% 204.32/204.32 [8305]~P66(x83051)+~P107(f331(f331(f240(x83051),f2(x83051)),x83053))+~P107(f331(f331(f239(x83051),x83052),f331(f331(f81(x83051),x83054),x83053)))+P107(f331(f331(f239(x83051),f331(f331(f294(x83051),x83052),x83053)),x83054))
% 204.32/204.32 [8307]~P67(x83071)+~P107(f331(f331(f240(x83071),f2(x83071)),x83073))+~P107(f331(f331(f239(x83071),x83072),f331(f331(f81(x83071),x83074),x83073)))+P107(f331(f331(f239(x83071),f331(f331(f294(x83071),x83072),x83073)),x83074))
% 204.32/204.32 [8308]~P66(x83081)+~P107(f331(f331(f240(x83081),f2(x83081)),x83083))+~P107(f331(f331(f240(x83081),x83082),f331(f331(f294(x83081),x83084),x83083)))+P107(f331(f331(f240(x83081),f331(f331(f81(x83081),x83082),x83083)),x83084))
% 204.32/204.32 [8309]~P67(x83091)+~P107(f331(f331(f240(x83091),f2(x83091)),x83093))+~P107(f331(f331(f240(x83091),x83092),f331(f331(f294(x83091),x83094),x83093)))+P107(f331(f331(f240(x83091),f331(f331(f81(x83091),x83092),x83093)),x83094))
% 204.32/204.32 [8310]~P66(x83101)+~P107(f331(f331(f240(x83101),f2(x83101)),x83103))+~P107(f331(f331(f240(x83101),x83102),f331(f331(f81(x83101),x83104),x83103)))+P107(f331(f331(f240(x83101),f331(f331(f294(x83101),x83102),x83103)),x83104))
% 204.32/204.32 [8312]~P67(x83121)+~P107(f331(f331(f240(x83121),f2(x83121)),x83123))+~P107(f331(f331(f240(x83121),x83122),f331(f331(f81(x83121),x83124),x83123)))+P107(f331(f331(f240(x83121),f331(f331(f294(x83121),x83122),x83123)),x83124))
% 204.32/204.32 [8438]~P66(x84381)+~P107(f331(f331(f240(x84381),f2(x84381)),x84384))+P107(f331(f331(f239(x84381),x84382),f331(f331(f81(x84381),x84383),x84384)))+~P107(f331(f331(f239(x84381),f331(f331(f294(x84381),x84382),x84384)),x84383))
% 204.32/204.32 [8439]~P66(x84391)+~P107(f331(f331(f240(x84391),f2(x84391)),x84394))+P107(f331(f331(f239(x84391),x84392),f331(f331(f294(x84391),x84393),x84394)))+~P107(f331(f331(f239(x84391),f331(f331(f81(x84391),x84392),x84394)),x84393))
% 204.32/204.32 [8441]~P67(x84411)+~P107(f331(f331(f240(x84411),f2(x84411)),x84414))+P107(f331(f331(f239(x84411),x84412),f331(f331(f81(x84411),x84413),x84414)))+~P107(f331(f331(f239(x84411),f331(f331(f294(x84411),x84412),x84414)),x84413))
% 204.32/204.32 [8442]~P67(x84421)+~P107(f331(f331(f240(x84421),f2(x84421)),x84424))+P107(f331(f331(f239(x84421),x84422),f331(f331(f294(x84421),x84423),x84424)))+~P107(f331(f331(f239(x84421),f331(f331(f81(x84421),x84422),x84424)),x84423))
% 204.32/204.32 [8443]~P66(x84431)+~P107(f331(f331(f240(x84431),f2(x84431)),x84434))+P107(f331(f331(f240(x84431),x84432),f331(f331(f81(x84431),x84433),x84434)))+~P107(f331(f331(f240(x84431),f331(f331(f294(x84431),x84432),x84434)),x84433))
% 204.32/204.32 [8444]~P66(x84441)+~P107(f331(f331(f240(x84441),f2(x84441)),x84444))+P107(f331(f331(f240(x84441),x84442),f331(f331(f294(x84441),x84443),x84444)))+~P107(f331(f331(f240(x84441),f331(f331(f81(x84441),x84442),x84444)),x84443))
% 204.32/204.32 [8446]~P67(x84461)+~P107(f331(f331(f240(x84461),f2(x84461)),x84464))+P107(f331(f331(f240(x84461),x84462),f331(f331(f81(x84461),x84463),x84464)))+~P107(f331(f331(f240(x84461),f331(f331(f294(x84461),x84462),x84464)),x84463))
% 204.32/204.32 [8447]~P67(x84471)+~P107(f331(f331(f240(x84471),f2(x84471)),x84474))+P107(f331(f331(f240(x84471),x84472),f331(f331(f294(x84471),x84473),x84474)))+~P107(f331(f331(f240(x84471),f331(f331(f81(x84471),x84472),x84474)),x84473))
% 204.32/204.32 [8607]~P67(x86071)+~P107(f331(f331(f240(x86071),x86073),f2(x86071)))+~P107(f331(f331(f239(x86071),f331(f331(f294(x86071),x86074),x86073)),x86072))+P107(f331(f331(f239(x86071),f331(f331(f81(x86071),x86072),x86073)),x86074))
% 204.32/204.32 [8608]~P67(x86081)+~P107(f331(f331(f240(x86081),x86083),f2(x86081)))+~P107(f331(f331(f239(x86081),f331(f331(f81(x86081),x86084),x86083)),x86082))+P107(f331(f331(f239(x86081),f331(f331(f294(x86081),x86082),x86083)),x86084))
% 204.32/204.32 [8609]~P67(x86091)+~P107(f331(f331(f240(x86091),x86093),f2(x86091)))+~P107(f331(f331(f240(x86091),f331(f331(f294(x86091),x86094),x86093)),x86092))+P107(f331(f331(f240(x86091),f331(f331(f81(x86091),x86092),x86093)),x86094))
% 204.32/204.32 [8610]~P67(x86101)+~P107(f331(f331(f240(x86101),x86103),f2(x86101)))+~P107(f331(f331(f240(x86101),f331(f331(f81(x86101),x86104),x86103)),x86102))+P107(f331(f331(f240(x86101),f331(f331(f294(x86101),x86102),x86103)),x86104))
% 204.32/204.32 [8622]~P107(f331(x86221,x86224))+~P107(f331(f331(f240(a927),x86222),f331(f331(f81(a927),x86223),f331(a116,x86224))))+P107(f331(x86221,f331(f331(f36(a927),x86222),x86223)))+~P107(f331(f331(f239(a927),f331(f331(f81(a927),x86223),x86224)),x86222))
% 204.32/204.32 [8842]~P102(x88421)+~P107(f331(f61(x88421),x88424))+~P107(f331(f331(f333(x88421),x88422),x88424))+P107(f331(f331(f239(x88421),f331(f331(f114(x88421),x88422),x88423)),f331(f331(f64(x88421,x88421,f114(x88421)),x88423),x88424)))
% 204.32/204.32 [8843]~P109(x88431)+~P107(f331(f61(x88431),x88434))+~P107(f331(f331(f333(x88431),x88432),x88434))+P107(f331(f331(f239(x88431),f331(f331(f238(x88431),x88432),x88433)),f331(f331(f64(x88431,x88431,f238(x88431)),x88433),x88434)))
% 204.32/204.32 [8996]~P107(f331(f61(x89961),x89962))+E(f331(f35(x89961),f331(f331(f23(f935(x89961,a923)),x89962),f331(f331(f313(x89961),x89963),x89964))),f331(f331(f23(a927),f331(f35(x89961),f331(f331(f23(f935(x89961,a923)),x89962),x89964))),f78(a927)))+P107(f331(f331(f333(x89961),x89963),x89964))+~P107(f331(f331(f333(x89961),x89963),x89962))
% 204.32/204.32 [9073]E(f331(f331(f80(a1),f406(x90731,x90732,x90733,x90734)),f407(x90731,x90732,x90733,x90734)),x90734)+~P107(f331(f331(f240(a1),f2(a1)),x90733))+~P107(f331(f331(f239(a1),x90734),x90731))+P107(f331(f331(f239(a1),f331(f331(f23(a1),x90734),x90733)),x90731))
% 204.32/204.32 [9074]E(f331(f331(f80(a1),f432(x90741,x90742,x90743,x90744)),f433(x90741,x90742,x90743,x90744)),x90744)+~P107(f331(f331(f240(a1),f2(a1)),x90743))+~P107(f331(f331(f240(a1),x90744),x90741))+P107(f331(f331(f240(a1),f331(f331(f23(a1),x90744),x90743)),x90741))
% 204.32/204.32 [9283]~P107(f331(f331(f240(a1),f2(a1)),x92833))+~P107(f331(f331(f239(a1),x92834),x92831))+P107(f331(f331(f333(a1),f406(x92831,x92832,x92833,x92834)),x92832))+P107(f331(f331(f239(a1),f331(f331(f23(a1),x92834),x92833)),x92831))
% 204.32/204.32 [9284]~P107(f331(f331(f240(a1),f2(a1)),x92843))+~P107(f331(f331(f240(a1),x92844),x92841))+P107(f331(f331(f333(a1),f432(x92841,x92842,x92843,x92844)),x92842))+P107(f331(f331(f240(a1),f331(f331(f23(a1),x92844),x92843)),x92841))
% 204.32/204.32 [9370]~P107(f331(f331(f240(a1),f2(a1)),x93702))+~P107(f331(f331(f239(a1),x93701),x93703))+P107(f331(f331(f333(a1),f407(x93703,x93704,x93702,x93701)),f307(a1,f78(a1),x93702)))+P107(f331(f331(f239(a1),f331(f331(f23(a1),x93701),x93702)),x93703))
% 204.32/204.32 [9371]~P107(f331(f331(f240(a1),f2(a1)),x93712))+~P107(f331(f331(f240(a1),x93711),x93713))+P107(f331(f331(f333(a1),f433(x93713,x93714,x93712,x93711)),f307(a1,f78(a1),x93712)))+P107(f331(f331(f240(a1),f331(f331(f23(a1),x93711),x93712)),x93713))
% 204.32/204.32 [9389]~P107(f331(f331(f239(a1),f2(a1)),x93894))+~P107(f331(f331(f240(a1),f2(a1)),x93893))+~P107(f331(f331(f240(a1),x93894),x93891))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),f331(f331(f81(a1),x93891),f45(a1,x93892,x93893))),x93894)))
% 204.32/204.32 [9420]E(x94201,x94202)+~P40(x94203,x94204)+~P107(f331(f331(f333(f934(x94203,x94203)),f331(f331(f256(x94203,x94203),x94202),x94201)),x94204))+~P107(f331(f331(f333(f934(x94203,x94203)),f331(f331(f256(x94203,x94203),x94201),x94202)),x94204))
% 204.32/204.32 [9453]~P103(x94531)+~P107(f331(f61(x94531),x94534))+~P107(f331(f331(f239(x94531),x94532),f889(x94533,x94532,x94534,x94531)))+P107(f331(f331(f239(x94531),f331(f331(f105(x94531),x94532),x94533)),f331(f331(f64(x94531,x94531,f105(x94531)),x94533),x94534)))
% 204.32/204.32 [9454]~P109(x94541)+~P107(f331(f61(x94541),x94544))+~P107(f331(f331(f239(x94541),x94542),f496(x94543,x94542,x94544,x94541)))+P107(f331(f331(f239(x94541),f331(f331(f237(x94541),x94542),x94543)),f331(f331(f64(x94541,x94541,f237(x94541)),x94543),x94544)))
% 204.32/204.32 [9469]~P107(f331(f331(f239(a1),x94694),f2(a1)))+~P107(f331(f331(f240(a1),f2(a1)),x94692))+~P107(f331(f331(f240(a1),x94691),x94694))+P107(f331(f331(f240(a1),f331(f331(f81(a1),x94691),x94692)),f331(f331(f80(a1),f331(f331(f81(a1),x94691),f45(a1,x94693,x94692))),x94694)))
% 204.32/204.32 [9495]P107(f331(f61(x94951),x94952))+~P107(f331(f61(x94951),x94953))+~P107(f331(f331(f333(f935(x94951,a923)),x94952),f331(f331(f60(x94951),x94953),x94954)))+~P107(f331(f331(f239(f935(f934(x94951,x94951),a923)),x94954),f331(f331(f258(x94951,x94951),x94953),f331(f16(f935(x94951,a923),x94951),x94953))))
% 204.32/204.32 [9519]~P103(x95191)+~P107(f331(f61(x95191),x95194))+P107(f331(f331(f333(x95191),f889(x95192,x95193,x95194,x95191)),x95194))+P107(f331(f331(f239(x95191),f331(f331(f105(x95191),x95193),x95192)),f331(f331(f64(x95191,x95191,f105(x95191)),x95192),x95194)))
% 204.32/204.32 [9520]~P109(x95201)+~P107(f331(f61(x95201),x95204))+P107(f331(f331(f333(x95201),f496(x95202,x95203,x95204,x95201)),x95204))+P107(f331(f331(f239(x95201),f331(f331(f237(x95201),x95203),x95202)),f331(f331(f64(x95201,x95201,f237(x95201)),x95202),x95204)))
% 204.32/204.32 [9935]~P107(f331(f61(x99352),x99354))+~P107(f331(f61(x99351),x99353))+~P107(f331(f331(f239(a927),f331(f35(x99352),x99354)),f331(f35(x99351),x99353)))+P107(f331(f331(f239(f935(x99351,a923)),f331(f314(x99352,x99351,f542(x99353,x99351,x99354,x99352)),x99354)),x99353))
% 204.32/204.32 [9571]~P107(f331(f331(f333(x95711),x95712),x95714))+P107(f331(f331(f333(x95711),x95712),x95713))+~P107(f331(f331(f240(f935(x95711,a923)),x95714),f331(f331(f313(x95711),x95712),x95713)))+P107(f331(f331(f240(f935(x95711,a923)),f331(f331(f23(f935(x95711,a923)),x95714),f331(f331(f313(x95711),x95712),f192(f935(x95711,a923))))),x95713))
% 204.32/204.32 [9748]~P107(f331(f331(f333(x97481),x97482),x97484))+P107(f331(f331(f333(x97481),x97482),x97483))+P107(f331(f331(f240(f935(x97481,a923)),x97484),f331(f331(f313(x97481),x97482),x97483)))+~P107(f331(f331(f240(f935(x97481,a923)),f331(f331(f23(f935(x97481,a923)),x97484),f331(f331(f313(x97481),x97482),f192(f935(x97481,a923))))),x97483))
% 204.32/204.32 [9774]P107(f331(f331(f333(x97741),x97742),x97743))+~P107(f331(f331(f239(f935(x97741,a923)),x97744),x97743))+P107(f331(f331(f240(f935(x97741,a923)),x97744),f331(f331(f313(x97741),x97742),x97743)))+~P107(f331(f331(f240(f935(x97741,a923)),f331(f331(f23(f935(x97741,a923)),x97744),f331(f331(f313(x97741),x97742),f192(f935(x97741,a923))))),x97743))
% 204.32/204.32 [9779]~P107(f331(f331(f333(x97791),x97793),x97792))+~P107(f331(f331(f240(f935(x97791,a923)),x97792),x97794))+P107(f331(f331(f240(f935(x97791,a923)),x97792),f331(f331(f313(x97791),x97793),x97794)))+~P107(f331(f331(f240(f935(x97791,a923)),f331(f331(f23(f935(x97791,a923)),x97792),f331(f331(f313(x97791),x97793),f192(f935(x97791,a923))))),x97794))
% 204.32/204.32 [9795]~P107(f331(f331(f239(f935(x97951,a923)),x97952),x97954))+~P107(f331(f331(f240(f935(x97951,a923)),x97952),x97954))+P107(f331(f331(f240(f935(x97951,a923)),x97952),f331(f331(f313(x97951),x97953),x97954)))+~P107(f331(f331(f240(f935(x97951,a923)),f331(f331(f23(f935(x97951,a923)),x97952),f331(f331(f313(x97951),x97953),f192(f935(x97951,a923))))),x97954))
% 204.32/204.32 [9840]~P111(x98402)+~P63(x98401)+~P107(f331(f331(f239(f935(x98401,x98402)),x98403),x98404))+P107(f331(f57(x98401),f331(f331(f18(x98401,x98402,a923),f331(f331(f8(x98402,f935(x98402,a923),x98401),f239(x98402)),x98403)),x98404)))
% 204.32/204.32 [9983]~P111(x99832)+~P63(x99831)+P107(f331(f331(f239(f935(x99831,x99832)),x99833),x99834))+~P107(f331(f57(x99831),f331(f331(f18(x99831,x99832,a923),f331(f331(f8(x99832,f935(x99832,a923),x99831),f239(x99832)),x99833)),x99834)))
% 204.32/204.32 [10149]E(f331(f331(f168(x101491),f331(f331(f168(f928(x101491)),f183(x101491,x101492)),x101493)),x101494),f331(f331(f168(x101491),f331(f331(f168(f928(x101491)),x101492),x101494)),x101493))+~P107(f331(f331(f240(a927),x101493),f331(f193(f928(f928(x101491))),f183(x101491,x101492))))+~P12(a927,f331(f172(a927),f331(f331(f158(f928(x101491),a927),f193(f928(x101491))),x101492)))+~P107(f331(f331(f240(a927),x101494),f331(f193(f928(f928(x101491))),f331(f140(f928(x101491),f331(f331(f8(a927,a923,f928(x101491)),f331(f240(a927),x101493)),f193(f928(x101491)))),x101492))))
% 204.32/204.32 [10170]~P107(f331(f331(f333(f934(a927,a927)),x101704),x101701))+~P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),x101704),x101702)),a71))+~P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x101701),x101703)),a72))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x101701),f331(f331(f313(f934(a927,a927)),x101702),x101703))),a72))
% 204.32/204.32 [10171]~P107(f331(f331(f333(f934(a927,a927)),x101714),x101711))+~P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),x101714),x101712)),a33))+~P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x101711),x101713)),a69))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x101711),f331(f331(f313(f934(a927,a927)),x101712),x101713))),a69))
% 204.32/204.32 [10060]~P111(x100602)+~P63(x100601)+~P107(f331(f331(f240(f935(x100601,x100602)),x100603),x100604))+P107(f331(f56(x100601),f331(f331(f8(a923,a923,x100601),a326),f331(f331(f18(x100601,x100602,a923),f331(f331(f8(x100602,f935(x100602,a923),x100601),a328),x100603)),x100604))))
% 204.32/204.32 [10184]~P107(f331(f331(f333(f934(a927,a927)),x101844),x101843))+~P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),x101841),x101844)),a33))+~P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x101842),x101843)),a34))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),f331(f331(f313(f934(a927,a927)),x101841),x101842)),x101843)),a34))
% 204.32/204.32 [10185]~P107(f331(f331(f333(f934(a927,a927)),x101854),x101853))+~P107(f331(f331(f333(f934(f934(a927,a927),f934(a927,a927))),f331(f331(f256(f934(a927,a927),f934(a927,a927)),x101851),x101854)),a71))+~P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x101852),x101853)),a70))+P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),f331(f331(f313(f934(a927,a927)),x101851),x101852)),x101853)),a70))
% 204.32/204.32 [6280]~P6(x62804,x62801)+~P107(f331(f331(x62801,x62802),x62805))+P107(f331(f331(x62801,x62802),x62803))+~P107(f331(f331(x62801,x62805),x62803))
% 204.32/204.32 [6281]~P50(x62814,x62811)+~P107(f331(f331(x62811,x62812),x62815))+P107(f331(f331(x62811,x62812),x62813))+~P107(f331(f331(x62811,x62815),x62813))
% 204.32/204.32 [6282]~P14(x62824,x62821)+~P107(f331(f331(x62821,x62822),x62825))+P107(f331(f331(x62821,x62822),x62823))+~P107(f331(f331(x62821,x62825),x62823))
% 204.32/204.32 [8981]~P6(x89814,x89813)+~P107(f331(x89811,x89815))+P107(f331(x89812,f843(x89812,x89811,x89813,x89814)))+P107(f331(x89811,f842(x89812,x89811,x89813,x89814)))
% 204.32/204.32 [9213]~P6(x92135,x92134)+P107(f331(x92131,x92132))+~P107(f331(x92133,f845(x92131,x92133,x92134,x92135)))+P107(f331(x92133,f844(x92131,x92133,x92134,x92135)))
% 204.32/204.32 [9218]~P6(x92184,x92183)+~P107(f331(x92182,x92185))+~P107(f331(x92181,f842(x92181,x92182,x92183,x92184)))+P107(f331(x92181,f843(x92181,x92182,x92183,x92184)))
% 204.32/204.32 [9397]~P6(x93975,x93974)+P107(f331(x93971,x93972))+P107(f331(f331(f333(x93975),f845(x93971,x93973,x93974,x93975)),f274(x93975,x93974)))+P107(f331(x93973,f844(x93971,x93973,x93974,x93975)))
% 204.32/204.32 [9403]~P6(x94034,x94033)+~P107(f331(x94031,x94035))+P107(f331(f331(f333(x94034),f843(x94032,x94031,x94033,x94034)),f274(x94034,x94033)))+P107(f331(x94031,f842(x94032,x94031,x94033,x94034)))
% 204.32/204.32 [9406]~P6(x94063,x94064)+P107(f331(x94061,x94062))+~P107(f331(x94065,f845(x94061,x94065,x94064,x94063)))+~P107(f331(x94061,f844(x94061,x94065,x94064,x94063)))
% 204.32/204.32 [9521]~P6(x95213,x95215)+P107(f331(x95211,x95212))+~P107(f331(x95211,f844(x95211,x95214,x95215,x95213)))+P107(f331(f331(f333(x95213),f845(x95211,x95214,x95215,x95213)),f274(x95213,x95215)))
% 204.32/204.32 [9529]~P6(x95291,x95294)+~P107(f331(x95293,x95295))+~P107(f331(x95292,f842(x95292,x95293,x95294,x95291)))+P107(f331(f331(f333(x95291),f843(x95292,x95293,x95294,x95291)),f274(x95291,x95294)))
% 204.32/204.32 [9829]~P39(x98291,x98294)+P107(f331(f331(f333(f934(f928(x98291),f928(x98291))),f331(f331(f256(f928(x98291),f928(x98291)),x98292),x98293)),f151(x98291,x98294)))+~P107(f331(f331(f333(f934(f928(x98291),f928(x98291))),f331(f331(f256(f928(x98291),f928(x98291)),x98292),x98295)),f151(x98291,x98294)))+~P107(f331(f331(f333(f934(f928(x98291),f928(x98291))),f331(f331(f256(f928(x98291),f928(x98291)),x98295),x98293)),f151(x98291,x98294)))
% 204.32/204.32 [5527]~P68(x55275)+E(x55271,x55272)+~E(x55273,x55274)+~E(f331(f331(f23(x55275),x55273),x55274),f331(f331(f23(x55275),x55271),x55272))
% 204.32/204.32 [6395]~P16(x63955,x63951,x63953)+E(f331(f331(x63951,x63952),f331(x63953,x63954)),f331(x63953,x63954))+~P107(f331(f61(x63955),x63954))+~P107(f331(f331(f333(x63955),x63952),x63954))
% 204.32/204.32 [6585]~P81(x65851)+~E(f331(f331(f23(x65851),x65854),x65855),f331(f331(f23(x65851),x65852),x65853))+~P107(f331(f331(f239(x65851),x65854),x65855))+P107(f331(f331(f239(x65851),x65852),x65853))
% 204.32/204.32 [6587]~P81(x65871)+~E(f331(f331(f23(x65871),x65874),x65875),f331(f331(f23(x65871),x65872),x65873))+~P107(f331(f331(f240(x65871),x65874),x65875))+P107(f331(f331(f240(x65871),x65872),x65873))
% 204.32/204.32 [7556]~E(x75562,f331(f331(f155(x75561),x75564),x75565))+P107(f331(f331(f333(f928(x75561)),x75562),f165(x75561,x75563)))+~P107(f331(f331(f333(f928(x75561)),x75565),f165(x75561,x75563)))+~P107(f331(f331(f333(x75561),x75564),x75563))
% 204.32/204.32 [7960]~E(f331(f193(f928(x79601)),x79603),f331(f193(f928(x79602)),x79604))+~E(f331(f331(f158(f934(x79601,x79602),x79602),f260(x79601,x79602)),x79605),x79604)+~E(f331(f331(f158(f934(x79601,x79602),x79601),f255(x79601,x79602)),x79605),x79603)+E(f331(f331(f185(x79601,x79602),x79603),x79604),x79605)
% 204.32/204.32 [8299]~P111(x82991)+P107(f331(f331(f240(f935(x82991,a923)),f307(x82991,x82992,x82993)),f307(x82991,x82994,x82995)))+~P107(f331(f331(f239(x82991),x82994),x82995))+P107(f331(f331(f239(x82991),x82992),x82993))
% 204.32/204.32 [8395]~P111(x83951)+P107(f331(f331(f239(f935(x83951,a923)),f307(x83951,x83952,x83953)),f307(x83951,x83954,x83955)))+~P107(f331(f331(f239(x83951),x83953),x83955))+~P107(f331(f331(f239(x83951),x83954),x83952))
% 204.32/204.32 [8514]~P109(x85141)+P107(f331(f331(f239(x85141),x85142),x85143))+P107(f331(f331(f239(x85141),x85144),x85143))+~P107(f331(f331(f239(f935(x85141,a923)),f331(f306(x85141,x85143),x85142)),f331(f306(x85141,x85144),x85145)))
% 204.32/204.32 [8515]~P109(x85151)+P107(f331(f331(f239(x85151),x85152),x85153))+P107(f331(f331(f239(x85151),x85152),x85154))+~P107(f331(f331(f239(f935(x85151,a923)),f331(f306(x85151,x85153),x85152)),f331(f306(x85151,x85155),x85154)))
% 204.32/204.32 [8759]~P111(x87591)+~P107(f331(f331(f239(f935(x87591,a923)),f307(x87591,x87594,x87592)),f307(x87591,x87595,x87593)))+P107(f331(f331(f239(x87591),x87592),x87593))+~P107(f331(f331(f239(x87591),x87594),x87592))
% 204.32/204.32 [8760]~P111(x87601)+~P107(f331(f331(f240(f935(x87601,a923)),f307(x87601,x87604,x87602)),f307(x87601,x87605,x87603)))+P107(f331(f331(f239(x87601),x87602),x87603))+~P107(f331(f331(f239(x87601),x87604),x87602))
% 204.32/204.32 [8761]~P111(x87611)+~P107(f331(f331(f239(f935(x87611,a923)),f307(x87611,x87613,x87614)),f307(x87611,x87612,x87615)))+P107(f331(f331(f239(x87611),x87612),x87613))+~P107(f331(f331(f239(x87611),x87613),x87614))
% 204.32/204.32 [8762]~P111(x87621)+~P107(f331(f331(f240(f935(x87621,a923)),f307(x87621,x87623,x87624)),f307(x87621,x87622,x87625)))+P107(f331(f331(f239(x87621),x87622),x87623))+~P107(f331(f331(f239(x87621),x87623),x87624))
% 204.32/204.32 [6279]~P16(x62792,x62795,x62793)+E(x62791,f192(f935(x62792,a923)))+~P107(f331(f61(x62792),x62791))+E(f331(x62793,f331(f331(f313(x62792),x62794),x62791)),f331(f331(x62795,x62794),f331(x62793,x62791)))
% 204.32/204.32 [7052]~E(x70521,x70522)+~E(f331(f331(f105(f935(x70523,a923)),x70524),x70525),f192(f935(x70523,a923)))+~P107(f331(f331(f333(x70523),x70522),x70525))+~P107(f331(f331(f333(x70523),x70521),x70524))
% 204.32/204.32 [7130]~P17(x71302,x71305,x71301)+~P107(f331(f61(x71302),x71304))+E(f331(x71301,f331(f331(f313(x71302),x71303),x71304)),f331(f331(f64(x71302,x71302,x71305),x71303),x71304))+P107(f331(f331(f333(x71302),x71303),x71304))
% 204.32/204.32 [7199]~P72(x71992)+~P107(f331(f61(x71991),x71995))+E(f331(f331(f6(x71991,x71992),x71993),f331(f331(f313(x71991),x71994),x71995)),f331(f331(f80(x71992),f331(x71993,x71994)),f331(f331(f6(x71991,x71992),x71993),x71995)))+P107(f331(f331(f333(x71991),x71994),x71995))
% 204.32/204.32 [7201]~P71(x72012)+~P107(f331(f61(x72011),x72015))+E(f331(f331(f9(x72011,x72012),x72013),f331(f331(f313(x72011),x72014),x72015)),f331(f331(f81(x72012),f331(x72013,x72014)),f331(f331(f9(x72011,x72012),x72013),x72015)))+P107(f331(f331(f333(x72011),x72014),x72015))
% 204.32/204.32 [7602]~P120(x76021)+~P107(f331(f61(x76024),x76025))+~P107(f331(f331(f333(x76024),x76023),x76025))+P107(f331(f331(f291(x76021),f331(x76022,x76023)),f331(f331(f9(x76024,x76021),x76022),x76025)))
% 204.32/204.32 [7704]~P17(x77042,x77045,x77041)+~P107(f331(f61(x77042),x77044))+E(f331(x77041,f331(f331(f313(x77042),x77043),x77044)),x77043)+~E(f331(f331(f23(f935(x77042,a923)),x77044),f331(f331(f313(x77042),x77043),f192(f935(x77042,a923)))),f192(f935(x77042,a923)))
% 204.32/204.32 [8015]~P107(f331(x80151,x80153))+~P107(f331(f331(f198(x80152),x80153),x80155))+~P107(f331(f331(f198(f29(x80151,x80152)),x80155),x80154))+P107(f331(f331(f198(f29(x80151,x80152)),x80153),x80154))
% 204.32/204.32 [8034]~P120(x80341)+~P107(f331(f331(f291(x80341),x80342),x80344))+~P107(f331(f331(f239(a927),x80343),x80345))+P107(f331(f331(f291(x80341),f331(f331(f248(x80341),x80342),x80343)),f331(f331(f248(x80341),x80344),x80345)))
% 204.32/204.32 [8067]~P102(x80671)+~P107(f331(f331(f239(x80671),x80673),x80675))+~P107(f331(f331(f239(x80671),x80672),x80674))+P107(f331(f331(f239(x80671),f331(f331(f114(x80671),x80672),x80673)),f331(f331(f114(x80671),x80674),x80675)))
% 204.32/204.32 [8068]~P103(x80681)+~P107(f331(f331(f239(x80681),x80683),x80685))+~P107(f331(f331(f239(x80681),x80682),x80684))+P107(f331(f331(f239(x80681),f331(f331(f105(x80681),x80682),x80683)),f331(f331(f105(x80681),x80684),x80685)))
% 204.32/204.32 [8069]~P87(x80691)+~P107(f331(f331(f239(x80691),x80693),x80695))+~P107(f331(f331(f239(x80691),x80692),x80694))+P107(f331(f331(f239(x80691),f331(f331(f80(x80691),x80692),x80693)),f331(f331(f80(x80691),x80694),x80695)))
% 204.32/204.32 [8070]~P109(x80701)+~P107(f331(f331(f239(x80701),x80703),x80705))+~P107(f331(f331(f239(x80701),x80702),x80704))+P107(f331(f331(f239(x80701),f331(f331(f237(x80701),x80702),x80703)),f331(f331(f237(x80701),x80704),x80705)))
% 204.32/204.32 [8071]~P109(x80711)+~P107(f331(f331(f239(x80711),x80713),x80715))+~P107(f331(f331(f239(x80711),x80712),x80714))+P107(f331(f331(f239(x80711),f331(f331(f238(x80711),x80712),x80713)),f331(f331(f238(x80711),x80714),x80715)))
% 204.32/204.32 [8072]~P85(x80721)+~P107(f331(f331(f239(x80721),x80723),x80725))+~P107(f331(f331(f240(x80721),x80722),x80724))+P107(f331(f331(f240(x80721),f331(f331(f80(x80721),x80722),x80723)),f331(f331(f80(x80721),x80724),x80725)))
% 204.32/204.32 [8073]~P85(x80731)+~P107(f331(f331(f239(x80731),x80732),x80734))+~P107(f331(f331(f240(x80731),x80733),x80735))+P107(f331(f331(f240(x80731),f331(f331(f80(x80731),x80732),x80733)),f331(f331(f80(x80731),x80734),x80735)))
% 204.32/204.32 [8074]~P85(x80741)+~P107(f331(f331(f240(x80741),x80743),x80745))+~P107(f331(f331(f240(x80741),x80742),x80744))+P107(f331(f331(f240(x80741),f331(f331(f80(x80741),x80742),x80743)),f331(f331(f80(x80741),x80744),x80745)))
% 204.32/204.32 [8209]~P145(x82095)+E(x82091,x82092)+E(x82093,x82094)+~E(f331(f331(f80(x82095),f331(f331(f81(x82095),x82093),x82091)),f331(f331(f81(x82095),x82094),x82092)),f331(f331(f80(x82095),f331(f331(f81(x82095),x82093),x82092)),f331(f331(f81(x82095),x82094),x82091)))
% 204.32/204.32 [8416]~P109(x84164)+~P107(f331(f141(x84161),x84163))+P107(f331(f331(f333(x84161),x84162),f331(f176(x84161),x84163)))+P107(f331(f141(x84161),f331(f331(f152(x84161,x84164,x84165),x84162),x84163)))
% 204.32/204.32 [8561]~P68(x85611)+E(f331(f331(f23(x85611),f331(f331(f6(a927,x85611),x85612),f331(f306(a927,x85613),x85614))),f331(f331(f6(a927,x85611),x85612),f331(f306(a927,x85613),x85615))),f331(f331(f6(a927,x85611),x85612),f331(f306(a927,x85615),x85614)))+~P107(f331(f331(f239(a927),x85615),x85614))+~P107(f331(f331(f239(a927),x85613),x85615))
% 204.32/204.32 [8562]~P72(x85621)+E(f331(f331(f80(x85621),f331(f331(f6(a927,x85621),x85622),f331(f306(a927,x85623),x85624))),f331(f331(f6(a927,x85621),x85622),f331(f306(a927,x85624),x85625))),f331(f331(f6(a927,x85621),x85622),f331(f306(a927,x85623),x85625)))+~P107(f331(f331(f239(a927),x85624),x85625))+~P107(f331(f331(f239(a927),x85623),x85624))
% 204.32/204.32 [8902]~P65(x89022)+E(x89021,f2(x89022))+E(x89023,f2(x89022))+E(f331(f331(f294(x89022),f331(f331(f23(x89022),f331(f331(f81(x89022),x89024),x89021)),f331(f331(f81(x89022),x89025),x89023))),f331(f331(f81(x89022),x89023),x89021)),f331(f331(f23(x89022),f331(f331(f294(x89022),x89024),x89023)),f331(f331(f294(x89022),x89025),x89021)))
% 204.32/204.32 [8903]~P65(x89032)+E(x89031,f2(x89032))+E(x89033,f2(x89032))+E(f331(f331(f294(x89032),f331(f331(f80(x89032),f331(f331(f81(x89032),x89034),x89031)),f331(f331(f81(x89032),x89035),x89033))),f331(f331(f81(x89032),x89033),x89031)),f331(f331(f80(x89032),f331(f331(f294(x89032),x89034),x89033)),f331(f331(f294(x89032),x89035),x89031)))
% 204.32/204.32 [8912]~E(x89122,f331(x89123,x89121))+E(x89121,f536(x89122,x89123,x89124,x89125))+~P24(x89125,x89124,x89123,f246(f935(x89125,a923)))+~P107(f331(f331(f333(x89124),x89122),f331(f314(x89125,x89124,x89123),f246(f935(x89125,a923)))))
% 204.32/204.32 [9129]~P114(x91291)+~P107(f331(f331(f240(x91291),f331(f76(x91291),x91292)),x91294))+P107(f331(f331(f240(x91291),f331(f331(f81(x91291),f331(f76(x91291),x91292)),f331(f76(x91291),x91293))),f331(f331(f81(x91291),x91294),x91295)))+~P107(f331(f331(f240(x91291),f331(f76(x91291),x91293)),x91295))
% 204.32/204.32 [9243]~P24(x92431,x92433,x92435,x92432)+~P107(f331(f61(x92433),x92434))+P107(f331(f331(f239(a927),f331(f35(x92431),x92432)),f331(f35(x92433),x92434)))+~P107(f331(f331(f239(f935(x92433,a923)),f331(f314(x92431,x92433,x92435),x92432)),x92434))
% 204.32/204.32 [9312]~P72(x93122)+~P24(x93121,x93121,x93124,x93125)+~P107(f331(f61(x93121),x93125))+E(f331(f331(f6(x93121,x93122),f331(f73(x93121,x93122,x93121,x93123),x93124)),x93125),f331(f331(f6(x93121,x93122),x93123),f331(f314(x93121,x93121,x93124),x93125)))
% 204.32/204.32 [9313]~P71(x93132)+~P24(x93131,x93131,x93134,x93135)+~P107(f331(f61(x93131),x93135))+E(f331(f331(f9(x93131,x93132),f331(f73(x93131,x93132,x93131,x93133),x93134)),x93135),f331(f331(f9(x93131,x93132),x93133),f331(f314(x93131,x93131,x93134),x93135)))
% 204.32/204.32 [9433]~P38(x94331,x94332)+~P107(f331(f331(f333(x94331),x94333),x94334))+~P107(f331(f331(f333(x94331),x94335),x94334))+~P107(f331(f331(f333(f934(x94331,x94331)),f331(f331(f256(x94331,x94331),x94335),f622(x94332,x94331,x94334))),x94332))
% 204.32/204.32 [9468]~P24(x94682,x94683,x94685,x94681)+E(x94681,f192(f935(x94682,a923)))+E(f331(f314(x94683,x94682,f539(x94684,x94683,x94682,x94681)),x94684),x94681)+~P107(f331(f331(f239(f935(x94683,a923)),f331(f314(x94682,x94683,x94685),x94681)),x94684))
% 204.32/204.32 [9964]~P109(x99645)+~P4(x99645)+P107(f331(f331(f333(x99641),f878(x99642,x99643,x99641,x99644,x99645)),x99643))+~P107(f331(f331(f240(x99645),x99644),f331(f331(f39(x99641,x99645),x99643),x99642)))
% 204.32/204.32 [9969]~P109(x99691)+~P4(x99691)+P107(f331(f331(f240(x99691),x99692),f331(x99693,f878(x99693,x99694,x99695,x99692,x99691))))+~P107(f331(f331(f240(x99691),x99692),f331(f331(f39(x99695,x99691),x99694),x99693)))
% 204.32/204.32 [10047]~P69(x100471)+~P107(f331(f66(x100471,x100471,f81(x100471),x100472,x100473),x100475))+P107(f331(f331(f333(x100471),x100472),x100473))+P107(f331(f66(x100471,x100471,f81(x100471),x100474,f331(f331(f313(x100471),x100472),x100473)),f331(f331(f81(x100471),x100474),x100475)))
% 204.32/204.32 [10251]~P72(x102512)+~P107(f331(f61(x102511),x102515))+E(f331(f331(f6(x102511,x102512),f331(f331(f7(x102511,x102512,x102512),f331(f331(f18(x102511,x102512,f935(x102512,x102512)),f331(f331(f8(a923,f935(x102512,f935(x102512,x102512)),x102511),f100(x102512)),f331(a328,x102513))),x102514)),f2(x102512))),x102515),f2(x102512))+P107(f331(f331(f333(x102511),x102513),x102515))
% 204.32/204.32 [10252]~P71(x102522)+~P107(f331(f61(x102521),x102525))+E(f331(f331(f9(x102521,x102522),f331(f331(f7(x102521,x102522,x102522),f331(f331(f18(x102521,x102522,f935(x102522,x102522)),f331(f331(f8(a923,f935(x102522,f935(x102522,x102522)),x102521),f100(x102522)),f331(a328,x102523))),x102524)),f78(x102522))),x102525),f78(x102522))+P107(f331(f331(f333(x102521),x102523),x102525))
% 204.32/204.32 [10253]~P72(x102532)+~P107(f331(f61(x102531),x102535))+E(f331(f331(f6(x102531,x102532),f331(f331(f7(x102531,x102532,x102532),f331(f331(f18(x102531,x102532,f935(x102532,x102532)),f331(f331(f8(a923,f935(x102532,f935(x102532,x102532)),x102531),f100(x102532)),f331(a328,x102533))),x102534)),f2(x102532))),x102535),f331(x102534,x102533))+~P107(f331(f331(f333(x102531),x102533),x102535))
% 204.32/204.32 [10254]~P71(x102542)+~P107(f331(f61(x102541),x102545))+E(f331(f331(f9(x102541,x102542),f331(f331(f7(x102541,x102542,x102542),f331(f331(f18(x102541,x102542,f935(x102542,x102542)),f331(f331(f8(a923,f935(x102542,f935(x102542,x102542)),x102541),f100(x102542)),f331(a328,x102543))),x102544)),f78(x102542))),x102545),f331(x102544,x102543))+~P107(f331(f331(f333(x102541),x102543),x102545))
% 204.32/204.32 [10307]~P72(x103072)+~P107(f331(f61(x103071),x103075))+E(f331(f331(f6(x103071,x103072),f331(f331(f7(x103071,x103072,x103072),f331(f331(f18(x103071,x103072,f935(x103072,x103072)),f331(f331(f8(a923,f935(x103072,f935(x103072,x103072)),x103071),f100(x103072)),f331(f331(f7(x103071,x103071,a923),a328),x103073))),x103074)),f2(x103072))),x103075),f2(x103072))+P107(f331(f331(f333(x103071),x103073),x103075))
% 204.32/204.32 [10308]~P71(x103082)+~P107(f331(f61(x103081),x103085))+E(f331(f331(f9(x103081,x103082),f331(f331(f7(x103081,x103082,x103082),f331(f331(f18(x103081,x103082,f935(x103082,x103082)),f331(f331(f8(a923,f935(x103082,f935(x103082,x103082)),x103081),f100(x103082)),f331(f331(f7(x103081,x103081,a923),a328),x103083))),x103084)),f78(x103082))),x103085),f78(x103082))+P107(f331(f331(f333(x103081),x103083),x103085))
% 204.32/204.32 [10310]~P72(x103102)+~P107(f331(f61(x103101),x103105))+E(f331(f331(f6(x103101,x103102),f331(f331(f7(x103101,x103102,x103102),f331(f331(f18(x103101,x103102,f935(x103102,x103102)),f331(f331(f8(a923,f935(x103102,f935(x103102,x103102)),x103101),f100(x103102)),f331(f331(f7(x103101,x103101,a923),a328),x103103))),x103104)),f2(x103102))),x103105),f331(x103104,x103103))+~P107(f331(f331(f333(x103101),x103103),x103105))
% 204.32/204.32 [10311]~P71(x103112)+~P107(f331(f61(x103111),x103115))+E(f331(f331(f9(x103111,x103112),f331(f331(f7(x103111,x103112,x103112),f331(f331(f18(x103111,x103112,f935(x103112,x103112)),f331(f331(f8(a923,f935(x103112,f935(x103112,x103112)),x103111),f100(x103112)),f331(f331(f7(x103111,x103111,a923),a328),x103113))),x103114)),f78(x103112))),x103115),f331(x103114,x103113))+~P107(f331(f331(f333(x103111),x103113),x103115))
% 204.32/204.32 [8066]~P68(x80662)+~P107(f331(f61(x80661),x80664))+E(f331(f331(f6(x80661,x80662),x80663),f331(f331(f23(f935(x80661,a923)),x80664),f331(f331(f313(x80661),x80665),f192(f935(x80661,a923))))),f331(f331(f6(x80661,x80662),x80663),x80664))+P107(f331(f331(f333(x80661),x80665),x80664))
% 204.32/204.32 [8569]~P112(x85692)+~P107(f331(f61(x85691),x85694))+E(f331(f331(f6(x85691,x85692),x85693),f331(f331(f23(f935(x85691,a923)),x85694),f331(f331(f313(x85691),x85695),f192(f935(x85691,a923))))),f331(f331(f23(x85692),f331(f331(f6(x85691,x85692),x85693),x85694)),f331(x85693,x85695)))+~P107(f331(f331(f333(x85691),x85695),x85694))
% 204.32/204.32 [8570]~P68(x85702)+~P107(f331(f61(x85701),x85704))+E(f331(f331(f6(x85701,x85702),x85703),f331(f331(f23(f935(x85701,a923)),x85704),f331(f331(f313(x85701),x85705),f192(f935(x85701,a923))))),f331(f331(f23(x85702),f331(f331(f6(x85701,x85702),x85703),x85704)),f331(x85703,x85705)))+~P107(f331(f331(f333(x85701),x85705),x85704))
% 204.32/204.32 [8582]~P120(x85821)+~P107(f331(f331(f239(a927),x85823),x85825))+~P107(f331(f331(f291(x85821),f331(f331(f248(x85821),x85822),x85825)),x85824))+P107(f331(f331(f291(x85821),f331(f331(f248(x85821),x85822),x85823)),x85824))
% 204.32/204.32 [8600]~P68(x86001)+~P107(f331(f61(x86002),x86004))+E(f331(f331(f23(x86001),f331(f331(f6(x86002,x86001),x86003),x86004)),f331(f331(f6(x86002,x86001),x86003),x86005)),f331(f331(f6(x86002,x86001),x86003),f331(f331(f23(f935(x86002,a923)),x86004),x86005)))+~P107(f331(f331(f239(f935(x86002,a923)),x86005),x86004))
% 204.32/204.32 [8619]P107(f331(f61(x86191),f331(x86192,x86193)))+~P107(f331(f61(x86194),x86195))+~P107(f331(f331(f333(x86194),x86193),x86195))+~P107(f331(f61(x86191),f331(f331(f39(x86194,f935(x86191,a923)),x86195),x86192)))
% 204.32/204.32 [9085]~P7(x90851,x90855,x90854)+~E(f331(f289(x90851,x90851,x90854),f331(f331(f313(x90851),x90852),f192(f935(x90851,a923)))),f331(f289(x90851,x90851,x90854),f331(f331(f313(x90851),x90853),f192(f935(x90851,a923)))))+~P107(f331(f331(f333(x90851),x90853),x90855))+P107(f331(f331(f333(f934(x90851,x90851)),f331(f331(f256(x90851,x90851),x90852),x90853)),x90854))
% 204.32/204.32 [9387]~P107(f331(x93871,x93875))+P107(f331(x93871,f413(x93871,x93872,x93873,x93874)))+P107(f331(x93871,f399(x93871,x93872,x93873,x93874)))+~P107(f331(f331(f333(x93874),x93875),f331(f331(f114(f935(x93874,a923)),x93873),x93872)))
% 204.32/204.32 [9576]~P107(f331(x95761,x95765))+P107(f331(x95761,f399(x95761,x95762,x95763,x95764)))+P107(f331(f331(f333(x95764),f413(x95761,x95762,x95763,x95764)),x95762))+~P107(f331(f331(f333(x95764),x95765),f331(f331(f114(f935(x95764,a923)),x95763),x95762)))
% 204.32/204.32 [9577]~P107(f331(x95771,x95775))+P107(f331(x95771,f413(x95771,x95772,x95773,x95774)))+P107(f331(f331(f333(x95774),f399(x95771,x95772,x95773,x95774)),x95773))+~P107(f331(f331(f333(x95774),x95775),f331(f331(f114(f935(x95774,a923)),x95773),x95772)))
% 204.32/204.32 [9583]P107(f331(x95831,x95832))+~P107(f331(x95831,f387(x95831,x95833,x95834,x95835)))+~P107(f331(x95831,f378(x95831,x95833,x95834,x95835)))+~P107(f331(f331(f333(x95835),x95832),f331(f331(f114(f935(x95835,a923)),x95834),x95833)))
% 204.32/204.32 [9588]~P39(x95881,x95884)+~P107(f331(f331(f333(f934(x95881,x95881)),f331(f331(f256(x95881,x95881),x95882),x95885)),x95884))+P107(f331(f331(f333(f934(x95881,x95881)),f331(f331(f256(x95881,x95881),x95882),x95883)),x95884))+~P107(f331(f331(f333(f934(x95881,x95881)),f331(f331(f256(x95881,x95881),x95885),x95883)),x95884))
% 204.32/204.32 [9627]E(x96271,x96272)+~P107(f331(f331(f333(f934(x96273,x96273)),f331(f331(f256(x96273,x96273),x96271),x96272)),f311(x96273,x96275)))+P107(f331(f331(f333(x96273),x96271),x96274))+~P107(f331(f331(f239(f935(f934(x96273,x96273),a923)),x96275),f331(f331(f258(x96273,x96273),x96274),f331(f16(f935(x96273,a923),x96273),x96274))))
% 204.32/204.32 [9645]P107(f331(x96451,x96452))+~P107(f331(x96451,f378(x96451,x96454,x96455,x96453)))+P107(f331(f331(f333(x96453),f387(x96451,x96454,x96455,x96453)),x96454))+~P107(f331(f331(f333(x96453),x96452),f331(f331(f114(f935(x96453,a923)),x96455),x96454)))
% 204.32/204.32 [9646]P107(f331(x96461,x96462))+~P107(f331(x96461,f387(x96461,x96464,x96465,x96463)))+P107(f331(f331(f333(x96463),f378(x96461,x96464,x96465,x96463)),x96465))+~P107(f331(f331(f333(x96463),x96462),f331(f331(f114(f935(x96463,a923)),x96465),x96464)))
% 204.32/204.32 [9712]P107(f331(x97121,x97122))+P107(f331(f331(f333(x97123),f387(x97121,x97124,x97125,x97123)),x97124))+P107(f331(f331(f333(x97123),f378(x97121,x97124,x97125,x97123)),x97125))+~P107(f331(f331(f333(x97123),x97122),f331(f331(f114(f935(x97123,a923)),x97125),x97124)))
% 204.32/204.32 [9714]~P107(f331(x97142,x97145))+P107(f331(f331(f333(x97141),f413(x97142,x97143,x97144,x97141)),x97143))+P107(f331(f331(f333(x97141),f399(x97142,x97143,x97144,x97141)),x97144))+~P107(f331(f331(f333(x97141),x97145),f331(f331(f114(f935(x97141,a923)),x97144),x97143)))
% 204.32/204.32 [9871]~P7(x98711,x98715,x98714)+~P107(f331(f331(f333(x98711),x98713),x98715))+P107(f331(f331(f333(f934(x98711,x98711)),f331(f331(f256(x98711,x98711),x98712),x98713)),x98714))+~P107(f331(f331(f239(f935(x98711,a923)),f331(f289(x98711,x98711,x98714),f331(f331(f313(x98711),x98713),f192(f935(x98711,a923))))),f331(f289(x98711,x98711,x98714),f331(f331(f313(x98711),x98712),f192(f935(x98711,a923))))))
% 204.32/204.32 [9998]~P109(x99985)+~P4(x99985)+P107(f331(f331(f333(x99981),f899(x99982,x99983,x99984,x99981,x99985)),x99984))+~P107(f331(f331(f240(x99985),f331(f331(f40(x99981,x99985),x99984),x99983)),x99982))
% 204.32/204.32 [10030]~P87(x100305)+~P84(x100305)+P107(f331(f331(f333(x100301),f704(x100302,x100303,x100304,x100301,x100305)),f331(f176(x100301),x100304)))+P107(f331(f331(f239(x100305),f331(f169(x100305),f331(f331(f158(x100301,x100305),x100303),x100304))),f331(f169(x100305),f331(f331(f158(x100301,x100305),x100302),x100304))))
% 204.32/204.32 [10139]~P109(x101391)+~P4(x101391)+P107(f331(f331(f240(x101391),f331(x101392,f899(x101393,x101392,x101394,x101395,x101391))),x101393))+~P107(f331(f331(f240(x101391),f331(f331(f40(x101395,x101391),x101394),x101392)),x101393))
% 204.32/204.32 [10269]~P87(x102691)+~P84(x102691)+~P107(f331(f331(f239(x102691),f331(x102693,f704(x102695,x102693,x102694,x102692,x102691))),f331(x102695,f704(x102695,x102693,x102694,x102692,x102691))))+P107(f331(f331(f239(x102691),f331(f169(x102691),f331(f331(f158(x102692,x102691),x102693),x102694))),f331(f169(x102691),f331(f331(f158(x102692,x102691),x102695),x102694))))
% 204.32/204.32 [8925]~P72(x89251)+~P107(f331(f61(x89254),x89255))+~P107(f331(f331(f333(x89254),x89253),x89255))+E(f331(f331(f80(x89251),f331(x89252,x89253)),f331(f331(f6(x89254,x89251),x89252),f331(f331(f23(f935(x89254,a923)),x89255),f331(f331(f313(x89254),x89253),f192(f935(x89254,a923)))))),f331(f331(f6(x89254,x89251),x89252),x89255))
% 204.32/204.32 [8926]~P71(x89261)+~P107(f331(f61(x89264),x89265))+~P107(f331(f331(f333(x89264),x89263),x89265))+E(f331(f331(f81(x89261),f331(x89262,x89263)),f331(f331(f9(x89264,x89261),x89262),f331(f331(f23(f935(x89264,a923)),x89265),f331(f331(f313(x89264),x89263),f192(f935(x89264,a923)))))),f331(f331(f9(x89264,x89261),x89262),x89265))
% 204.32/204.32 [8986]~P17(x89861,x89864,x89865)+~P107(f331(f61(x89861),x89862))+E(f331(f331(f23(f935(x89861,a923)),x89862),f331(f331(f313(x89861),x89863),f192(f935(x89861,a923)))),f192(f935(x89861,a923)))+E(f331(f331(x89864,x89863),f331(x89865,f331(f331(f23(f935(x89861,a923)),x89862),f331(f331(f313(x89861),x89863),f192(f935(x89861,a923)))))),f331(x89865,f331(f331(f313(x89861),x89863),x89862)))
% 204.32/204.32 [9366]~P71(x93661)+~P107(f331(f61(x93662),x93665))+~P107(f331(f61(x93662),x93664))+E(f331(f331(f81(x93661),f331(f331(f9(x93662,x93661),x93663),f331(f331(f114(f935(x93662,a923)),x93664),x93665))),f331(f331(f9(x93662,x93661),x93663),f331(f331(f105(f935(x93662,a923)),x93664),x93665))),f331(f331(f81(x93661),f331(f331(f9(x93662,x93661),x93663),x93664)),f331(f331(f9(x93662,x93661),x93663),x93665)))
% 204.32/204.32 [9367]~P72(x93671)+~P107(f331(f61(x93672),x93675))+~P107(f331(f61(x93672),x93674))+E(f331(f331(f80(x93671),f331(f331(f6(x93672,x93671),x93673),f331(f331(f114(f935(x93672,a923)),x93674),x93675))),f331(f331(f6(x93672,x93671),x93673),f331(f331(f105(f935(x93672,a923)),x93674),x93675))),f331(f331(f80(x93671),f331(f331(f6(x93672,x93671),x93673),x93674)),f331(f331(f6(x93672,x93671),x93673),x93675)))
% 204.32/204.32 [9508]~P68(x95081)+~P107(f331(f61(x95082),x95085))+~P107(f331(f61(x95082),x95084))+E(f331(f331(f23(x95081),f331(f331(f80(x95081),f331(f331(f6(x95082,x95081),x95083),x95084)),f331(f331(f6(x95082,x95081),x95083),x95085))),f331(f331(f6(x95082,x95081),x95083),f331(f331(f105(f935(x95082,a923)),x95084),x95085))),f331(f331(f6(x95082,x95081),x95083),f331(f331(f114(f935(x95082,a923)),x95084),x95085)))
% 204.32/204.32 [9728]~P24(x97281,x97282,x97283,x97285)+~P24(x97281,x97282,x97283,x97284)+P24(x97281,x97282,x97283,f331(f331(f114(f935(x97281,a923)),x97284),x97285))+~E(f331(f331(f105(f935(x97282,a923)),f331(f314(x97281,x97282,x97283),f331(f331(f23(f935(x97281,a923)),x97284),x97285))),f331(f314(x97281,x97282,x97283),f331(f331(f23(f935(x97281,a923)),x97285),x97284))),f192(f935(x97282,a923)))
% 204.32/204.32 [9846]E(x98461,f2(a1))+~P107(f331(f331(f240(a1),f2(a1)),x98463))+~P107(f331(f49(x98462,x98461),f331(f331(f256(a1,a1),x98464),x98465)))+P107(f331(f49(x98462,f331(f331(f81(a1),x98461),x98463)),f331(f331(f256(a1,a1),f331(f331(f36(a1),x98464),x98463)),f331(f331(f80(a1),f331(f331(f81(a1),x98461),f45(a1,x98464,x98463))),x98465))))
% 204.32/204.32 [9854]~P107(f331(f331(f240(a927),f2(a927)),x98543))+~P107(f331(f331(f240(a927),f2(a927)),x98542))+~P107(f331(f48(x98541,x98542),f331(f331(f256(a927,a927),x98544),x98545)))+P107(f331(f48(x98541,f331(f331(f81(a927),x98542),x98543)),f331(f331(f256(a927,a927),f331(f331(f36(a927),x98544),x98543)),f331(f331(f80(a927),f331(f331(f81(a927),x98542),f45(a927,x98544,x98543))),x98545))))
% 204.32/204.32 [9903]~P71(x99031)+~P107(f331(f61(x99032),x99035))+~P107(f331(f61(x99032),x99034))+E(f331(f331(f81(x99031),f331(f331(f331(f65(x99031,x99032,f81(x99031)),x99033),f78(x99031)),f331(f331(f114(f935(x99032,a923)),x99034),x99035))),f331(f331(f331(f65(x99031,x99032,f81(x99031)),x99033),f78(x99031)),f331(f331(f105(f935(x99032,a923)),x99034),x99035))),f331(f331(f81(x99031),f331(f331(f331(f65(x99031,x99032,f81(x99031)),x99033),f78(x99031)),x99034)),f331(f331(f331(f65(x99031,x99032,f81(x99031)),x99033),f78(x99031)),x99035)))
% 204.32/204.32 [9905]~E(f331(f331(f179(x99051),x99055),x99052),f331(f331(f179(x99051),x99055),x99053))+P107(f331(f331(f333(f934(f928(x99051),f928(x99051))),f331(f331(f256(f928(x99051),f928(x99051)),x99052),x99053)),f151(x99051,x99054)))+~P107(f331(f331(f240(a927),x99055),f331(f331(f237(a927),f331(f193(f928(x99051)),x99052)),f331(f193(f928(x99051)),x99053))))+~P107(f331(f331(f333(f934(x99051,x99051)),f331(f331(f256(x99051,x99051),f331(f331(f168(x99051),x99052),x99055)),f331(f331(f168(x99051),x99053),x99055))),x99054))
% 204.32/204.32 [10019]~P87(x100195)+~P147(x100195)+P107(f331(f331(f333(x100191),f389(x100192,x100193,x100194,x100191,x100195)),x100194))+P107(f331(f331(f239(x100195),f331(f331(f6(x100191,x100195),x100193),x100194)),f331(f331(f81(x100195),f331(f104(x100195),f331(f35(x100191),x100194))),x100192)))
% 204.32/204.32 [10198]~P87(x101981)+~P147(x101981)+~P107(f331(f331(f239(x101981),f331(x101983,f389(x101985,x101983,x101984,x101982,x101981))),x101985))+P107(f331(f331(f239(x101981),f331(f331(f6(x101982,x101981),x101983),x101984)),f331(f331(f81(x101981),f331(f104(x101981),f331(f35(x101982),x101984))),x101985)))
% 204.32/204.32 [8954]E(f331(f331(f138(x89541),x89542),x89543),f331(f331(f138(x89541),x89544),x89545))+~E(f331(f331(f179(x89541),f331(f193(f928(x89541)),x89542)),x89544),x89542)+~E(f331(f331(f138(x89541),f331(f331(f142(x89541),f331(f193(f928(x89541)),x89542)),x89544)),x89545),x89543)+P107(f331(f331(f239(a927),f331(f193(f928(x89541)),x89544)),f331(f193(f928(x89541)),x89542)))
% 204.32/204.32 [9084]E(f331(f331(f138(x90841),x90842),x90843),f331(f331(f138(x90841),x90844),x90845))+~E(f331(f331(f179(x90841),f331(f193(f928(x90841)),x90842)),x90844),x90842)+~E(x90843,f331(f331(f138(x90841),f331(f331(f142(x90841),f331(f193(f928(x90841)),x90842)),x90844)),x90845))+~P107(f331(f331(f239(a927),f331(f193(f928(x90841)),x90842)),f331(f193(f928(x90841)),x90844)))
% 204.32/204.32 [10331]~P107(f331(x103315,x103314))+~P107(f331(f61(x103312),f331(f266(x103312),x103315)))+P107(f331(f61(x103311),f331(f266(x103311),f331(f331(f7(x103311,x103312,a923),x103313),x103314))))+~P107(f331(f61(x103311),f331(f266(x103311),f331(f331(f8(f935(x103312,a923),a923,x103311),f87(x103312)),f331(f331(f8(f935(x103312,a923),f935(x103312,a923),x103311),f331(f18(x103312,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103312),a329),x103315))),x103313)))))
% 204.32/204.32 [10411]~P107(f331(f61(x104112),x104115))+~P107(f331(f331(f333(x104112),x104114),x104115))+P107(f331(f61(x104111),f331(f266(x104111),f331(f331(f7(x104111,x104112,a923),x104113),x104114))))+~P107(f331(f61(x104111),f331(f266(x104111),f331(f331(f8(f935(x104112,a923),a923,x104111),f87(x104112)),f331(f331(f8(f935(x104112,a923),f935(x104112,a923),x104111),f331(f18(x104112,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104112),a329),f331(f331(f7(x104112,f935(x104112,a923),a923),f333(x104112)),x104115)))),x104113)))))
% 204.32/204.32 [8737]~P18(x87375,x87371,x87376,x87372)+E(f331(f73(x87371,x87371,x87371,f331(x87372,x87373)),f331(x87372,x87374)),f331(f73(x87371,x87371,x87371,f331(x87372,x87374)),f331(x87372,x87373)))+~P107(f331(f61(x87375),x87374))+~P107(f331(f61(x87375),x87373))
% 204.32/204.32 [8121]~P24(x81211,x81212,x81214,x81213)+~E(f331(x81214,x81216),x81215)+E(f331(f77(x81211,x81212,x81213,x81214),x81215),x81216)+~P107(f331(f331(f333(x81211),x81216),x81213))
% 204.32/204.32 [8122]~P24(x81221,x81222,x81224,x81223)+~E(f331(x81224,x81226),x81225)+E(f331(f92(x81221,x81222,x81223,x81224),x81225),x81226)+~P107(f331(f331(f333(x81221),x81226),x81223))
% 204.32/204.32 [8320]~P19(x83206,x83201,x83204,x83202)+E(f331(f73(x83201,x83201,x83201,f331(x83202,x83203)),f331(x83204,x83205)),f331(x83202,x83203))+~P107(f331(f61(x83206),x83203))+~P107(f331(f331(f333(x83206),x83205),x83203))
% 204.32/204.32 [9459]E(x94591,x94592)+~E(f331(f92(x94593,x94594,x94595,x94596),x94591),f331(f92(x94593,x94594,x94595,x94596),x94592))+~P107(f331(f331(f333(x94594),x94592),f331(f314(x94593,x94594,x94596),x94595)))+~P107(f331(f331(f333(x94594),x94591),f331(f314(x94593,x94594,x94596),x94595)))
% 204.32/204.32 [9560]~P18(x95603,x95601,x95606,x95602)+E(f331(f73(x95601,x95601,x95601,f331(x95602,f331(f331(f23(f935(x95603,a923)),x95604),f331(f331(f313(x95603),x95605),f192(f935(x95603,a923)))))),f331(x95606,x95605)),f331(x95602,x95604))+~P107(f331(f61(x95603),x95604))+~P107(f331(f331(f333(x95603),x95605),x95604))
% 204.32/204.32 [7204]~P62(x72041)+~E(f45(x72041,x72043,x72044),f45(x72041,x72046,x72044))+~E(f45(x72041,x72042,x72044),f45(x72041,x72045,x72044))+E(f45(x72041,f331(f331(f23(x72041),x72042),x72043),x72044),f45(x72041,f331(f331(f23(x72041),x72045),x72046),x72044))
% 204.32/204.32 [7205]~P61(x72051)+~E(f45(x72051,x72053,x72054),f45(x72051,x72056,x72054))+~E(f45(x72051,x72052,x72054),f45(x72051,x72055,x72054))+E(f45(x72051,f331(f331(f81(x72051),x72052),x72053),x72054),f45(x72051,f331(f331(f81(x72051),x72055),x72056),x72054))
% 204.32/204.32 [7206]~P61(x72061)+~E(f45(x72061,x72063,x72064),f45(x72061,x72066,x72064))+~E(f45(x72061,x72062,x72064),f45(x72061,x72065,x72064))+E(f45(x72061,f331(f331(f80(x72061),x72062),x72063),x72064),f45(x72061,f331(f331(f80(x72061),x72065),x72066),x72064))
% 204.32/204.32 [8016]~P15(x80161,x80162,x80163)+~P107(f331(f61(x80161),x80166))+E(f331(f331(f64(x80161,x80162,x80163),x80164),f331(f331(f313(x80161),x80165),x80166)),f331(f331(f64(x80161,x80162,x80163),f331(f331(x80163,x80165),x80164)),x80166))+P107(f331(f331(f333(x80161),x80165),x80166))
% 204.32/204.32 [8080]~P4(x80801)+P107(f331(f331(f239(x80801),x80802),f331(x80803,x80804)))+~P107(f331(f331(f333(x80805),x80804),x80806))+~P107(f331(f331(f239(x80801),x80802),f331(f331(f40(x80805,x80801),x80806),x80803)))
% 204.32/204.32 [8239]~P15(x82391,x82392,x82393)+~P107(f331(f61(x82391),x82396))+E(f331(f331(f64(x82391,x82392,x82393),x82394),f331(f331(f313(x82391),x82395),x82396)),f331(f331(x82393,x82395),f331(f331(f64(x82391,x82392,x82393),x82394),x82396)))+P107(f331(f331(f333(x82391),x82395),x82396))
% 204.32/204.32 [8337]~P109(x83373)+~P107(f331(x83372,x83375))+~P12(x83373,f331(f331(f158(x83371,x83373),x83374),x83376))+E(f331(f140(x83371,x83372),f331(f331(f152(x83371,x83373,x83374),x83375),x83376)),f331(f331(f152(x83371,x83373,x83374),x83375),f331(f140(x83371,x83372),x83376)))
% 204.32/204.32 [8357]E(x83571,x83572)+E(x83573,f2(a1))+~P107(f331(f49(x83574,x83573),f331(f331(f256(a1,a1),x83575),x83572)))+~P107(f331(f49(x83574,x83573),f331(f331(f256(a1,a1),x83576),x83571)))
% 204.32/204.32 [8358]E(x83581,x83582)+E(x83583,f2(a1))+~P107(f331(f49(x83584,x83583),f331(f331(f256(a1,a1),x83582),x83585)))+~P107(f331(f49(x83584,x83583),f331(f331(f256(a1,a1),x83581),x83586)))
% 204.32/204.32 [8381]~P18(x83812,x83815,x83816,x83811)+~P107(f331(f61(x83812),x83814))+E(f331(x83811,f331(f331(f313(x83812),x83813),x83814)),f331(f73(x83815,x83815,x83815,f331(x83811,x83814)),f331(x83816,x83813)))+P107(f331(f331(f333(x83812),x83813),x83814))
% 204.32/204.32 [8603]~P19(x86035,x86031,x86036,x86032)+E(f331(f73(x86031,x86031,x86031,f331(x86032,x86033)),f331(x86032,x86034)),f331(x86032,x86033))+~P107(f331(f61(x86035),x86033))+~P107(f331(f331(f239(f935(x86035,a923)),x86034),x86033))
% 204.32/204.32 [9776]~P24(x97761,x97762,x97764,x97763)+~P107(f331(f331(f333(x97762),x97765),f331(f314(x97761,x97762,x97764),x97763)))+P107(f331(f331(f333(x97761),f331(f77(x97761,x97762,x97763,x97764),x97765)),x97766))+~P107(f331(f331(f239(f935(x97761,a923)),x97763),x97766))
% 204.32/204.32 [10150]~P72(x101502)+~E(f598(x101501,x101503,x101505,x101506,x101504,x101502),f599(x101501,x101503,x101505,x101506,x101504,x101502))+~P107(f331(f61(x101504),x101506))+E(f331(f331(f6(x101501,x101502),x101503),f331(f314(x101504,x101501,x101505),x101506)),f331(f331(f6(x101504,x101502),f331(f73(x101501,x101502,x101504,x101503),x101505)),x101506))
% 204.32/204.32 [10180]~P72(x101806)+E(f331(x101801,f598(x101802,x101803,x101801,x101804,x101805,x101806)),f331(x101801,f599(x101802,x101803,x101801,x101804,x101805,x101806)))+E(f331(f331(f6(x101802,x101806),x101803),f331(f314(x101805,x101802,x101801),x101804)),f331(f331(f6(x101805,x101806),f331(f73(x101802,x101806,x101805,x101803),x101801)),x101804))+~P107(f331(f61(x101805),x101804))
% 204.32/204.32 [10219]~P72(x102192)+~E(f331(x102193,f331(x102195,f599(x102191,x102193,x102195,x102196,x102194,x102192))),f2(x102192))+~P107(f331(f61(x102194),x102196))+E(f331(f331(f6(x102191,x102192),x102193),f331(f314(x102194,x102191,x102195),x102196)),f331(f331(f6(x102194,x102192),f331(f73(x102191,x102192,x102194,x102193),x102195)),x102196))
% 204.32/204.32 [10277]~P72(x102772)+~P107(f331(f61(x102774),x102776))+E(f331(f331(f6(x102771,x102772),x102773),f331(f314(x102774,x102771,x102775),x102776)),f331(f331(f6(x102774,x102772),f331(f73(x102771,x102772,x102774,x102773),x102775)),x102776))+P107(f331(f331(f333(x102774),f599(x102771,x102773,x102775,x102776,x102774,x102772)),x102776))
% 204.32/204.32 [10278]~P72(x102782)+~P107(f331(f61(x102784),x102786))+E(f331(f331(f6(x102781,x102782),x102783),f331(f314(x102784,x102781,x102785),x102786)),f331(f331(f6(x102784,x102782),f331(f73(x102781,x102782,x102784,x102783),x102785)),x102786))+P107(f331(f331(f333(x102784),f598(x102781,x102783,x102785,x102786,x102784,x102782)),x102786))
% 204.32/204.32 [10410]~P71(x104101)+~P107(f331(f61(x104102),x104106))+E(f331(f331(f331(f65(x104101,x104102,f81(x104101)),f331(f331(f18(x104102,f935(x104103,a923),x104101),f331(f331(f7(x104102,x104101,f935(f935(x104103,a923),x104101)),f331(f331(f8(f935(x104103,x104101),f935(x104101,f935(f935(x104103,a923),x104101)),x104102),f65(x104101,x104103,f81(x104101))),x104104)),f78(x104101))),x104105)),f78(x104101)),x104106),f331(f331(f331(f65(x104101,f934(x104102,x104103),f81(x104101)),f331(f261(x104102,x104103,x104101),x104104)),f78(x104101)),f331(f331(f258(x104102,x104103),x104106),x104105)))+P107(f331(f331(f333(x104102),f563(x104104,x104105,x104103,x104106,x104102,x104101)),x104106))
% 204.32/204.32 [10432]~P71(x104321)+~P107(f331(f61(x104322),x104326))+E(f331(f331(f331(f65(x104321,x104322,f81(x104321)),f331(f331(f18(x104322,f935(x104323,a923),x104321),f331(f331(f7(x104322,x104321,f935(f935(x104323,a923),x104321)),f331(f331(f8(f935(x104323,x104321),f935(x104321,f935(f935(x104323,a923),x104321)),x104322),f65(x104321,x104323,f81(x104321))),x104324)),f78(x104321))),x104325)),f78(x104321)),x104326),f331(f331(f331(f65(x104321,f934(x104322,x104323),f81(x104321)),f331(f261(x104322,x104323,x104321),x104324)),f78(x104321)),f331(f331(f258(x104322,x104323),x104326),x104325)))+~P107(f331(f61(x104323),f331(x104325,f563(x104324,x104325,x104323,x104326,x104322,x104321))))
% 204.32/204.32 [8513]~P19(x85132,x85135,x85136,x85131)+~P107(f331(f61(x85132),x85134))+~P107(f331(f61(x85132),x85133))+E(f331(x85131,f331(f331(f114(f935(x85132,a923)),x85133),x85134)),f331(f73(x85135,x85135,x85135,f331(x85131,x85133)),f331(x85131,x85134)))
% 204.32/204.32 [8738]~P4(x87381)+P107(f331(f331(f239(x87381),f331(x87382,x87383)),x87384))+~P107(f331(f331(f333(x87385),x87383),x87386))+~P107(f331(f331(f239(x87381),f331(f331(f39(x87385,x87381),x87386),x87382)),x87384))
% 204.32/204.32 [9170]~P24(x91702,x91701,x91703,x91706)+E(f331(f331(f23(f935(x91701,a923)),f331(f314(x91702,x91701,x91703),x91704)),f331(f314(x91702,x91701,x91703),x91705)),f331(f314(x91702,x91701,x91703),f331(f331(f23(f935(x91702,a923)),x91704),x91705)))+~P107(f331(f331(f239(f935(x91702,a923)),x91705),x91706))+~P107(f331(f331(f239(f935(x91702,a923)),x91704),x91706))
% 204.32/204.32 [9171]~P24(x91712,x91711,x91713,x91716)+E(f331(f331(f105(f935(x91711,a923)),f331(f314(x91712,x91711,x91713),x91714)),f331(f314(x91712,x91711,x91713),x91715)),f331(f314(x91712,x91711,x91713),f331(f331(f105(f935(x91712,a923)),x91714),x91715)))+~P107(f331(f331(f239(f935(x91712,a923)),x91715),x91716))+~P107(f331(f331(f239(f935(x91712,a923)),x91714),x91716))
% 204.32/204.32 [9435]E(x94351,x94352)+~P55(x94353,x94354,x94355)+~P107(f331(f331(f333(f934(x94353,x94354)),f331(f331(f256(x94353,x94354),x94356),x94352)),x94355))+~P107(f331(f331(f333(f934(x94353,x94354)),f331(f331(f256(x94353,x94354),x94356),x94351)),x94355))
% 204.32/204.32 [10215]~P69(x102151)+~E(f331(x102153,f501(x102154,x102156,x102153,x102155,x102152,x102151)),f331(x102156,f501(x102154,x102156,x102153,x102155,x102152,x102151)))+~P107(f331(f61(x102152),x102155))+E(f331(f331(f331(f65(x102151,x102152,f81(x102151)),x102153),x102154),x102155),f331(f331(f331(f65(x102151,x102152,f81(x102151)),x102156),x102154),x102155))
% 204.32/204.32 [10275]~P69(x102751)+~P107(f331(f61(x102752),x102755))+E(f331(f331(f331(f65(x102751,x102752,f81(x102751)),x102753),x102754),x102755),f331(f331(f331(f65(x102751,x102752,f81(x102751)),x102756),x102754),x102755))+P107(f331(f331(f333(x102752),f501(x102754,x102753,x102756,x102755,x102752,x102751)),x102755))
% 204.32/204.32 [8968]~P69(x89681)+~P107(f331(f61(x89682),x89686))+P107(f331(f331(f333(x89682),x89685),x89686))+E(f331(f331(f331(f65(x89681,x89682,f81(x89681)),x89683),x89684),f331(f331(f313(x89682),x89685),x89686)),f331(f331(f81(x89681),f331(x89683,x89685)),f331(f331(f331(f65(x89681,x89682,f81(x89681)),x89683),x89684),x89686)))
% 204.32/204.32 [9021]~P7(x90211,x90216,x90213)+~P10(x90211,f935(x90212,a923),x90213,x90215)+~P107(f331(f331(f333(x90211),x90214),x90216))+E(f331(f331(f39(x90211,f935(x90212,a923)),f331(f289(x90211,x90211,x90213),f331(f331(f313(x90211),x90214),f192(f935(x90211,a923))))),x90215),f331(x90215,x90214))
% 204.32/204.32 [9147]~P15(x91473,x91474,x91471)+~P107(f331(f61(x91473),x91476))+~P107(f331(f331(f333(x91473),x91472),x91476))+E(f331(f331(x91471,x91472),f331(f331(f64(x91473,x91474,x91471),x91475),f331(f331(f23(f935(x91473,a923)),x91476),f331(f331(f313(x91473),x91472),f192(f935(x91473,a923)))))),f331(f331(f64(x91473,x91474,x91471),x91475),x91476))
% 204.32/204.32 [9445]~P18(x94453,x94451,x94456,x94452)+~P107(f331(f61(x94453),x94455))+~P107(f331(f61(x94453),x94454))+E(f331(f73(x94451,x94451,x94451,f331(x94452,f331(f331(f114(f935(x94453,a923)),x94454),x94455))),f331(x94452,f331(f331(f105(f935(x94453,a923)),x94454),x94455))),f331(f73(x94451,x94451,x94451,f331(x94452,x94454)),f331(x94452,x94455)))
% 204.32/204.32 [9799]~E(x97993,f331(f331(f163(x97991,x97992),x97995),x97996))+P107(f331(f331(f333(f934(f928(x97991),f928(x97991))),f331(f331(f256(f928(x97991),f928(x97991)),x97992),x97993)),f161(x97991,x97994)))+~P107(f331(f331(f240(a927),x97995),f331(f193(f928(x97991)),x97992)))+~P107(f331(f331(f333(f934(x97991,x97991)),f331(f331(f256(x97991,x97991),f331(f331(f168(x97991),x97992),x97995)),x97996)),x97994))
% 204.32/204.32 [10287]~P72(x102872)+~P107(f331(f61(x102871),x102876))+P107(f331(f331(f333(x102871),f560(x102874,x102875,x102873,x102876,x102871,x102872)),x102876))+E(f331(f331(f6(x102871,x102872),f331(f331(f18(x102871,f935(x102873,a923),x102872),f331(f331(f8(f935(x102873,x102872),f935(f935(x102873,a923),x102872),x102871),f6(x102873,x102872)),x102874)),x102875)),x102876),f331(f331(f6(f934(x102871,x102873),x102872),f331(f261(x102871,x102873,x102872),x102874)),f331(f331(f258(x102871,x102873),x102876),x102875)))
% 204.32/204.32 [10288]~P71(x102882)+~P107(f331(f61(x102881),x102886))+P107(f331(f331(f333(x102881),f561(x102884,x102885,x102883,x102886,x102881,x102882)),x102886))+E(f331(f331(f9(x102881,x102882),f331(f331(f18(x102881,f935(x102883,a923),x102882),f331(f331(f8(f935(x102883,x102882),f935(f935(x102883,a923),x102882),x102881),f9(x102883,x102882)),x102884)),x102885)),x102886),f331(f331(f9(f934(x102881,x102883),x102882),f331(f261(x102881,x102883,x102882),x102884)),f331(f331(f258(x102881,x102883),x102886),x102885)))
% 204.32/204.32 [10328]~P72(x103282)+~P107(f331(f61(x103281),x103286))+~P107(f331(f61(x103283),f331(x103285,f560(x103284,x103285,x103283,x103286,x103281,x103282))))+E(f331(f331(f6(x103281,x103282),f331(f331(f18(x103281,f935(x103283,a923),x103282),f331(f331(f8(f935(x103283,x103282),f935(f935(x103283,a923),x103282),x103281),f6(x103283,x103282)),x103284)),x103285)),x103286),f331(f331(f6(f934(x103281,x103283),x103282),f331(f261(x103281,x103283,x103282),x103284)),f331(f331(f258(x103281,x103283),x103286),x103285)))
% 204.32/204.32 [10329]~P71(x103292)+~P107(f331(f61(x103291),x103296))+~P107(f331(f61(x103293),f331(x103295,f561(x103294,x103295,x103293,x103296,x103291,x103292))))+E(f331(f331(f9(x103291,x103292),f331(f331(f18(x103291,f935(x103293,a923),x103292),f331(f331(f8(f935(x103293,x103292),f935(f935(x103293,a923),x103292),x103291),f9(x103293,x103292)),x103294)),x103295)),x103296),f331(f331(f9(f934(x103291,x103293),x103292),f331(f261(x103291,x103293,x103292),x103294)),f331(f331(f258(x103291,x103293),x103296),x103295)))
% 204.32/204.32 [10309]~P71(x103092)+~P107(f331(f61(x103091),x103096))+P107(f331(f331(f333(x103091),x103093),x103096))+E(f331(f331(f9(x103091,x103092),f331(f331(f7(x103091,x103092,x103092),f331(f331(f18(x103091,x103092,f935(x103092,x103092)),f331(f331(f8(a923,f935(x103092,f935(x103092,x103092)),x103091),f100(x103092)),f331(f331(f7(x103091,x103091,a923),a328),x103093))),x103094)),x103095)),x103096),f331(f331(f248(x103092),x103095),f331(f35(x103091),x103096)))
% 204.32/204.32 [10314]~P71(x103142)+~P107(f331(f61(x103141),x103146))+~P107(f331(f331(f333(x103141),x103143),x103146))+E(f331(f331(f9(x103141,x103142),f331(f331(f7(x103141,x103142,x103142),f331(f331(f18(x103141,x103142,f935(x103142,x103142)),f331(f331(f8(a923,f935(x103142,f935(x103142,x103142)),x103141),f100(x103142)),f331(f331(f7(x103141,x103141,a923),a328),x103143))),x103144)),x103145)),x103146),f331(f331(f81(x103142),f331(x103144,x103143)),f331(f331(f248(x103142),x103145),f331(f331(f23(a927),f331(f35(x103141),x103146)),f78(a927)))))
% 204.32/204.32 [10397]~P107(f331(f61(x103971),x103975))+~P107(f331(f61(x103972),x103973))+P107(f331(f331(f333(x103972),f466(x103976,x103974,x103973,x103972,x103975,x103971)),x103973))+E(f331(f331(f6(x103971,a927),f331(f331(f8(f935(x103972,a923),a927,x103971),f35(x103972)),f331(f331(f8(f935(x103972,a923),f935(x103972,a923),x103971),f266(x103972)),f331(f331(f8(f935(x103972,a923),f935(x103972,a923),x103971),f331(f18(x103972,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103972),a329),f331(f331(f7(x103972,f935(x103972,a923),a923),f333(x103972)),x103973)))),x103974)))),x103975),f331(f331(f81(a927),x103976),f331(f35(x103972),x103973)))
% 204.32/204.32 [10398]~P107(f331(f61(x103981),x103985))+~P107(f331(f61(x103982),x103983))+P107(f331(f331(f333(x103982),f467(x103986,x103984,x103983,x103982,x103985,x103981)),x103983))+E(f331(f331(f6(x103981,a927),f331(f331(f8(f935(x103982,a923),a927,x103981),f35(x103982)),f331(f331(f8(f935(x103982,a923),f935(x103982,a923),x103981),f266(x103982)),f331(f331(f8(f935(x103982,a923),f935(x103982,a923),x103981),f331(f18(x103982,a923,a923),f331(f331(f8(a923,f935(a923,a923),x103982),a329),f331(f331(f7(x103982,f935(x103982,a923),a923),f333(x103982)),x103983)))),x103984)))),x103985),f331(f331(f6(x103982,a927),x103986),x103983))
% 204.32/204.32 [10446]~P107(f331(f61(x104462),x104463))+~P107(f331(f61(x104461),x104465))+~E(f331(f35(x104461),f331(f266(x104461),f331(f331(f18(x104461,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104461),a329),f331(f331(f7(x104461,f935(x104461,a923),a923),f333(x104461)),x104465))),f331(f331(f7(x104461,x104462,a923),x104464),f466(x104466,x104464,x104463,x104462,x104465,x104461))))),x104466)+E(f331(f331(f6(x104461,a927),f331(f331(f8(f935(x104462,a923),a927,x104461),f35(x104462)),f331(f331(f8(f935(x104462,a923),f935(x104462,a923),x104461),f266(x104462)),f331(f331(f8(f935(x104462,a923),f935(x104462,a923),x104461),f331(f18(x104462,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104462),a329),f331(f331(f7(x104462,f935(x104462,a923),a923),f333(x104462)),x104463)))),x104464)))),x104465),f331(f331(f81(a927),x104466),f331(f35(x104462),x104463)))
% 204.32/204.32 [10448]~P107(f331(f61(x104482),x104483))+~P107(f331(f61(x104481),x104485))+~E(f331(f35(x104481),f331(f266(x104481),f331(f331(f18(x104481,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104481),a329),f331(f331(f7(x104481,f935(x104481,a923),a923),f333(x104481)),x104485))),f331(f331(f7(x104481,x104482,a923),x104484),f467(x104486,x104484,x104483,x104482,x104485,x104481))))),f331(x104486,f467(x104486,x104484,x104483,x104482,x104485,x104481)))+E(f331(f331(f6(x104481,a927),f331(f331(f8(f935(x104482,a923),a927,x104481),f35(x104482)),f331(f331(f8(f935(x104482,a923),f935(x104482,a923),x104481),f266(x104482)),f331(f331(f8(f935(x104482,a923),f935(x104482,a923),x104481),f331(f18(x104482,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104482),a329),f331(f331(f7(x104482,f935(x104482,a923),a923),f333(x104482)),x104483)))),x104484)))),x104485),f331(f331(f6(x104482,a927),x104486),x104483))
% 204.32/204.32 [10075]E(x100751,x100752)+~P15(x100753,x100754,x100755)+~P107(f331(f66(x100753,x100754,x100755,x100756,x100757),x100752))+~P107(f331(f66(x100753,x100754,x100755,x100756,x100757),x100751))
% 204.32/204.32 [9875]P107(f331(x98751,x98752))+~P107(f331(f331(f333(x98757),x98752),f331(x98756,x98754)))+~P107(f331(x98751,f782(x98751,x98756,x98755,x98753,x98757)))+~P107(f331(f331(f333(x98753),x98754),x98755))
% 204.32/204.32 [10301]~P15(x103017,x103016,x103011)+E(f331(f331(x103011,x103012),f880(x103012,x103013,x103014,x103015,x103011,x103016,x103017)),x103013)+~P107(f331(f66(x103017,x103016,x103011,x103015,x103014),x103013))+~P107(f331(f331(f333(x103017),x103012),x103014))
% 204.32/204.32 [10374]~P15(x103741,x103742,x103743)+~P107(f331(f66(x103741,x103742,x103743,x103744,x103745),x103747))+P107(f331(f66(x103741,x103742,x103743,x103744,f331(f331(f23(f935(x103741,a923)),x103745),f331(f331(f313(x103741),x103746),f192(f935(x103741,a923))))),f880(x103746,x103747,x103745,x103744,x103743,x103742,x103741)))+~P107(f331(f331(f333(x103741),x103746),x103745))
% 204.32/204.32 [9515]P25(x95151,x95152,x95153,x95154,x95155)+~P25(x95151,x95152,x95153,x95156,x95157)+~E(f331(f314(x95151,x95152,x95153),x95154),x95155)+~P107(f331(f331(f239(f935(x95151,a923)),x95154),x95156))
% 204.32/204.32 [9767]~P25(x97671,x97672,x97673,x97675,x97677)+~P25(x97671,x97672,x97673,x97674,x97676)+P25(x97671,x97672,x97673,f331(f331(f114(f935(x97671,a923)),x97674),x97675),f331(f331(f114(f935(x97672,a923)),x97676),x97677))+~E(f331(f331(f105(f935(x97672,a923)),x97676),x97677),f192(f935(x97672,a923)))
% 204.32/204.32 [9772]~P69(x97721)+~P24(x97725,x97722,x97726,x97727)+~P107(f331(f61(x97725),x97727))+E(f331(f331(f331(f65(x97721,x97722,f81(x97721)),x97723),x97724),f331(f314(x97725,x97722,x97726),x97727)),f331(f331(f331(f65(x97721,x97725,f81(x97721)),f331(f73(x97722,x97721,x97725,x97723),x97726)),x97724),x97727))
% 204.32/204.32 [9898]~E(f331(f331(f313(x98981),x98985),x98986),f331(f331(f313(x98981),x98982),x98983))+~P107(f331(f66(x98981,x98981,x98984,x98982,x98983),x98987))+P107(f331(f331(f333(x98981),x98982),x98983))+P107(f331(f62(x98981,x98984,f331(f331(f313(x98981),x98985),x98986)),x98987))
% 204.32/204.32 [9982]P107(f331(x99821,x99822))+~P107(f331(f331(f333(x99823),x99822),f331(x99824,x99827)))+~P107(f331(f331(f333(x99826),x99827),x99825))+P107(f331(f331(f333(x99823),f782(x99821,x99824,x99825,x99826,x99823)),f331(f331(f39(x99826,f935(x99823,a923)),x99825),x99824)))
% 204.32/204.32 [9999]~P24(x99992,x99991,x99995,x99994)+~P24(x99991,x99993,x99996,f331(f314(x99992,x99991,x99995),x99994))+E(f331(f331(f73(x99991,x99992,x99993,f77(x99992,x99991,x99994,x99995)),f77(x99991,x99993,f331(f314(x99992,x99991,x99995),x99994),x99996)),x99997),f331(f77(x99992,x99993,x99994,f331(f73(x99991,x99993,x99992,x99996),x99995)),x99997))+~P107(f331(f331(f333(x99993),x99997),f331(f314(x99991,x99993,x99996),f331(f314(x99992,x99991,x99995),x99994))))
% 204.32/204.32 [10000]~P24(x100002,x100001,x100005,x100004)+~P24(x100001,x100003,x100006,f331(f314(x100002,x100001,x100005),x100004))+E(f331(f331(f73(x100001,x100002,x100003,f92(x100002,x100001,x100004,x100005)),f92(x100001,x100003,f331(f314(x100002,x100001,x100005),x100004),x100006)),x100007),f331(f92(x100002,x100003,x100004,f331(f73(x100001,x100003,x100002,x100006),x100005)),x100007))+~P107(f331(f331(f333(x100003),x100007),f331(f314(x100001,x100003,x100006),f331(f314(x100002,x100001,x100005),x100004))))
% 204.32/204.32 [10302]~P15(x103027,x103026,x103021)+E(f331(f331(x103021,x103022),f887(x103023,x103024,x103022,x103025,x103021,x103026,x103027)),x103023)+P107(f331(f331(f333(x103027),x103022),x103024))+~P107(f331(f66(x103027,x103026,x103021,x103025,f331(f331(f313(x103027),x103022),x103024)),x103023))
% 204.32/204.32 [10373]~P15(x103731,x103734,x103735)+P107(f331(f66(x103731,x103734,x103735,x103736,x103733),f887(x103737,x103733,x103732,x103736,x103735,x103734,x103731)))+P107(f331(f331(f333(x103731),x103732),x103733))+~P107(f331(f66(x103731,x103734,x103735,x103736,f331(f331(f313(x103731),x103732),x103733)),x103737))
% 204.32/204.32 [10057]E(x100571,f2(a1))+~P107(f331(f49(x100573,x100571),f331(f331(f256(a1,a1),x100575),x100577)))+~P107(f331(f49(x100572,x100571),f331(f331(f256(a1,a1),x100574),x100576)))+P107(f331(f49(f331(f331(f80(a1),x100572),x100573),x100571),f331(f331(f256(a1,a1),f331(f331(f80(a1),f331(f331(f80(a1),x100574),x100575)),f331(f331(f36(a1),f331(f331(f80(a1),x100576),x100577)),x100571))),f45(a1,f331(f331(f80(a1),x100576),x100577),x100571))))
% 204.32/204.32 [10059]~P107(f331(f331(f240(a927),f2(a927)),x100593))+~P107(f331(f48(x100592,x100593),f331(f331(f256(a927,a927),x100595),x100597)))+~P107(f331(f48(x100591,x100593),f331(f331(f256(a927,a927),x100594),x100596)))+P107(f331(f48(f331(f331(f80(a927),x100591),x100592),x100593),f331(f331(f256(a927,a927),f331(f331(f80(a927),f331(f331(f80(a927),x100594),x100595)),f331(f331(f36(a927),f331(f331(f80(a927),x100596),x100597)),x100593))),f45(a927,f331(f331(f80(a927),x100596),x100597),x100593))))
% 204.32/204.32 [10445]~P72(x104452)+~P107(f331(f61(x104453),x104455))+~P107(f331(f61(x104451),x104457))+E(f331(f331(f6(x104451,x104452),f331(f331(f18(x104451,f935(x104453,a923),x104452),f331(f331(f8(f935(x104453,x104452),f935(f935(x104453,a923),x104452),x104451),f6(x104453,x104452)),x104454)),f331(f331(f8(f935(x104453,a923),f935(x104453,a923),x104451),f266(x104453)),f331(f331(f8(f935(x104453,a923),f935(x104453,a923),x104451),f331(f18(x104453,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104453),a329),f331(f331(f7(x104453,f935(x104453,a923),a923),f333(x104453)),x104455)))),x104456)))),x104457),f331(f331(f6(x104453,x104452),f331(f331(f18(x104453,f935(x104451,a923),x104452),f331(f331(f8(f935(x104451,x104452),f935(f935(x104451,a923),x104452),x104453),f6(x104451,x104452)),f331(f7(x104451,x104453,x104452),x104454))),f331(f331(f8(f935(x104451,a923),f935(x104451,a923),x104453),f266(x104451)),f331(f331(f8(f935(x104451,a923),f935(x104451,a923),x104453),f331(f18(x104451,a923,a923),f331(f331(f8(a923,f935(a923,a923),x104451),a329),f331(f331(f7(x104451,f935(x104451,a923),a923),f333(x104451)),x104457)))),f331(f7(x104451,x104453,a923),x104456))))),x104455))
% 204.32/204.32 [10395]~P20(x103958,x103957,x103956,x103955,x103951)+~E(f331(x103952,f872(x103954,x103952,x103953,x103951,x103955,x103956,x103957)),f331(x103954,f872(x103954,x103952,x103953,x103951,x103955,x103956,x103957)))+E(f331(f331(x103951,x103952),x103953),f331(f331(x103951,x103954),x103953))+~P107(f331(f61(x103957),x103953))
% 204.32/204.32 [9934]~P21(x99347,x99346,x99341,x99348,x99342,x99344)+E(f331(f331(x99341,f331(x99342,x99343)),f331(x99344,x99345)),f331(x99344,x99345))+~P107(f331(f61(x99346),x99345))+~P107(f331(f331(f333(x99346),x99343),x99345))
% 204.32/204.32 [9938]~P11(x99386,x99381,x99382,x99388,x99383,x99384)+~P7(x99386,x99387,x99388)+P10(x99381,x99382,x99383,f331(x99384,x99385))+~P107(f331(f331(f333(x99386),x99385),x99387))
% 204.32/204.32 [10417]~P20(x104178,x104175,x104177,x104176,x104171)+E(f331(f331(x104171,x104172),x104173),f331(f331(x104171,x104174),x104173))+~P107(f331(f61(x104175),x104173))+P107(f331(f331(f333(x104175),f872(x104172,x104174,x104173,x104171,x104176,x104177,x104175)),x104173))
% 204.32/204.32 [10498]~P107(f331(f331(x104981,x104986),x104985))+P107(f331(f331(x104981,f851(x104981,x104984,x104985,x104986,x104983,x104982,x104987,x104988)),f856(x104981,x104984,x104985,x104986,x104983,x104982,x104987,x104988)))+P107(f331(f331(x104981,x104982),x104983))+~P107(f331(f331(f333(f934(f934(x104988,x104987),f934(x104988,x104987))),f331(f331(f256(f934(x104988,x104987),f934(x104988,x104987)),f331(f331(f256(x104988,x104987),x104982),x104983)),f331(f331(f256(x104988,x104987),x104986),x104985))),f311(f934(x104988,x104987),x104984)))
% 204.32/204.32 [10499]~P107(f331(f331(x104991,x104996),x104995))+P107(f331(f331(x104991,f857(x104991,x104994,x104993,x104992,x104995,x104996,x104997,x104998)),f860(x104991,x104994,x104993,x104992,x104995,x104996,x104997,x104998)))+P107(f331(f331(x104991,x104992),x104993))+~P107(f331(f331(f333(f934(f934(x104998,x104997),f934(x104998,x104997))),f331(f331(f256(f934(x104998,x104997),f934(x104998,x104997)),f331(f331(f256(x104998,x104997),x104996),x104995)),f331(f331(f256(x104998,x104997),x104992),x104993))),f311(f934(x104998,x104997),x104994)))
% 204.32/204.32 [10509]~P107(f331(f331(x105091,f852(x105091,x105096,x105095,x105094,x105093,x105092,x105097,x105098)),f855(x105091,x105096,x105095,x105094,x105093,x105092,x105097,x105098)))+P107(f331(f331(x105091,x105092),x105093))+~P107(f331(f331(x105091,x105094),x105095))+~P107(f331(f331(f333(f934(f934(x105098,x105097),f934(x105098,x105097))),f331(f331(f256(f934(x105098,x105097),f934(x105098,x105097)),f331(f331(f256(x105098,x105097),x105092),x105093)),f331(f331(f256(x105098,x105097),x105094),x105095))),f311(f934(x105098,x105097),x105096)))
% 204.32/204.32 [10510]~P107(f331(f331(x105101,f861(x105101,x105106,x105103,x105102,x105105,x105104,x105107,x105108)),f862(x105101,x105106,x105103,x105102,x105105,x105104,x105107,x105108)))+P107(f331(f331(x105101,x105102),x105103))+~P107(f331(f331(x105101,x105104),x105105))+~P107(f331(f331(f333(f934(f934(x105108,x105107),f934(x105108,x105107))),f331(f331(f256(f934(x105108,x105107),f934(x105108,x105107)),f331(f331(f256(x105108,x105107),x105104),x105105)),f331(f331(f256(x105108,x105107),x105102),x105103))),f311(f934(x105108,x105107),x105106)))
% 204.32/204.32 [10525]~P107(f331(f331(x105251,x105256),x105257))+P107(f331(f331(x105251,x105252),x105253))+P107(f331(f331(f333(f934(f934(x105254,x105255),f934(x105254,x105255))),f331(f331(f256(f934(x105254,x105255),f934(x105254,x105255)),f331(f331(f256(x105254,x105255),x105256),x105257)),f331(f331(f256(x105254,x105255),f857(x105251,x105258,x105253,x105252,x105257,x105256,x105255,x105254)),f860(x105251,x105258,x105253,x105252,x105257,x105256,x105255,x105254)))),f311(f934(x105254,x105255),x105258)))+~P107(f331(f331(f333(f934(f934(x105254,x105255),f934(x105254,x105255))),f331(f331(f256(f934(x105254,x105255),f934(x105254,x105255)),f331(f331(f256(x105254,x105255),x105256),x105257)),f331(f331(f256(x105254,x105255),x105252),x105253))),f311(f934(x105254,x105255),x105258)))
% 204.32/204.32 [10527]~P107(f331(f331(x105271,x105278),x105277))+P107(f331(f331(x105271,x105272),x105273))+P107(f331(f331(f333(f934(f934(x105274,x105275),f934(x105274,x105275))),f331(f331(f256(f934(x105274,x105275),f934(x105274,x105275)),f331(f331(f256(x105274,x105275),f851(x105271,x105276,x105277,x105278,x105273,x105272,x105275,x105274)),f856(x105271,x105276,x105277,x105278,x105273,x105272,x105275,x105274))),f331(f331(f256(x105274,x105275),x105278),x105277))),f311(f934(x105274,x105275),x105276)))+~P107(f331(f331(f333(f934(f934(x105274,x105275),f934(x105274,x105275))),f331(f331(f256(f934(x105274,x105275),f934(x105274,x105275)),f331(f331(f256(x105274,x105275),x105272),x105273)),f331(f331(f256(x105274,x105275),x105278),x105277))),f311(f934(x105274,x105275),x105276)))
% 204.32/204.32 [9543]~P18(x95437,x95431,x95438,x95433)+~P107(f331(f61(x95437),x95435))+~P107(f331(f61(x95437),x95434))+E(f331(f73(x95431,x95431,x95432,f331(x95433,x95434)),f331(f73(x95431,x95431,x95432,f331(x95433,x95435)),x95436)),f331(f73(x95431,x95431,x95432,f331(x95433,x95435)),f331(f73(x95431,x95431,x95432,f331(x95433,x95434)),x95436)))
% 204.32/204.32 [9552]~P35(x95521,x95522,x95523,x95524,x95527)+P35(x95521,x95522,x95523,f331(f331(f163(x95521,x95524),x95525),x95526),f331(f331(f163(x95522,x95527),x95525),x95528))+~P107(f331(f331(x95523,x95526),x95528))+~P107(f331(f331(f240(a927),x95525),f331(f193(f928(x95521)),x95524)))
% 204.32/204.32 [9553]~P35(x95531,x95532,x95533,x95534,x95537)+P35(x95531,x95532,x95533,f331(f331(f163(x95531,x95534),x95535),x95536),f331(f331(f163(x95532,x95537),x95535),x95538))+~P107(f331(f331(x95533,x95536),x95538))+~P107(f331(f331(f240(a927),x95535),f331(f193(f928(x95532)),x95537)))
% 204.32/204.32 [9634]~P24(x96342,x96342,x96345,x96346)+~P20(x96343,x96342,x96347,x96348,x96341)+~P107(f331(f61(x96342),x96346))+E(f331(f331(x96341,f331(f73(x96342,x96343,x96342,x96344),x96345)),x96346),f331(f331(x96341,x96344),f331(f314(x96342,x96342,x96345),x96346)))
% 204.32/204.32 [9899]P25(x98991,x98992,x98993,x98994,x98995)+~P25(x98992,x98996,x98997,x98995,x98998)+~P25(x98991,x98996,f331(f73(x98992,x98996,x98991,x98997),x98993),x98994,x98998)+~P107(f331(f331(f239(f935(x98992,a923)),f331(f314(x98991,x98992,x98993),x98994)),x98995))
% 204.32/204.32 [9936]~P22(x99367,x99362,x99365,x99368,x99366,x99361)+~P107(f331(f61(x99362),x99364))+E(f331(x99361,f331(f331(f313(x99362),x99363),x99364)),f331(f331(x99365,f331(x99366,x99363)),f331(x99361,x99364)))+P107(f331(f331(f333(x99362),x99363),x99364))
% 204.32/204.32 [9947]~P21(x99476,x99475,x99471,x99477,x99478,x99472)+E(f331(f331(x99471,f331(x99472,x99473)),f331(x99472,x99474)),f331(x99472,x99474))+~P107(f331(f61(x99475),x99474))+~P107(f331(f331(f239(f935(x99475,a923)),x99473),x99474))
% 204.32/204.32 [10442]P23(x104428,x104427,f331(f331(f313(f926(x104428)),f331(f331(f331(f91(x104428),x104424),x104425),x104423)),f192(f935(f926(x104428),a923))))+~P23(x104428,x104427,f331(f331(f313(f926(x104428)),f331(f331(f331(f91(x104428),x104426),x104425),x104421)),f192(f935(f926(x104428),a923))))+~P107(f331(f331(x104426,x104422),f913(x104423,x104424,x104421,x104425,x104426,x104427,x104428)))+P107(f331(f331(x104421,x104422),f922(x104423,x104424,x104421,x104425,x104426,x104427,x104428)))
% 204.32/204.32 [9530]P107(f331(f331(f333(f934(f928(x95301),f928(x95301))),f331(f331(f256(f928(x95301),f928(x95301)),x95302),x95303)),f161(x95301,x95304)))+~E(x95303,f331(f331(f138(x95301),x95305),f331(f331(f155(x95301),x95306),x95307)))+~E(x95302,f331(f331(f138(x95301),x95305),f331(f331(f155(x95301),x95308),x95307)))+~P107(f331(f331(f333(f934(x95301,x95301)),f331(f331(f256(x95301,x95301),x95308),x95306)),x95304))
% 204.32/204.32 [9941]~P21(x99416,x99412,x99415,x99417,x99418,x99411)+~P107(f331(f61(x99412),x99414))+~P107(f331(f61(x99412),x99413))+E(f331(x99411,f331(f331(f114(f935(x99412,a923)),x99413),x99414)),f331(f331(x99415,f331(x99411,x99413)),f331(x99411,x99414)))
% 204.32/204.32 [10488]~P24(x104884,x104882,x104885,x104888)+E(f331(f331(f40(x104881,f935(x104882,a923)),x104883),f331(f331(f8(f935(x104884,a923),f935(x104882,a923),x104881),f314(x104884,x104882,x104885)),x104886)),f331(f314(x104884,x104882,x104885),f331(f331(f40(x104881,f935(x104884,a923)),x104883),x104886)))+~P107(f331(f331(f333(x104881),x104887),x104883))+P107(f331(f331(f333(x104881),f543(x104887,x104886,x104883,x104881,x104888,x104885,x104882,x104884)),x104883))
% 204.32/204.32 [10514]~P24(x105144,x105142,x105145,x105147)+E(f331(f331(f40(x105141,f935(x105142,a923)),x105143),f331(f331(f8(f935(x105144,a923),f935(x105142,a923),x105141),f314(x105144,x105142,x105145)),x105146)),f331(f314(x105144,x105142,x105145),f331(f331(f40(x105141,f935(x105144,a923)),x105143),x105146)))+~P107(f331(f331(f333(x105141),x105148),x105143))+~P107(f331(f331(f239(f935(x105144,a923)),f331(x105146,f543(x105148,x105146,x105143,x105141,x105147,x105145,x105142,x105144))),x105147))
% 204.32/204.32 [10528]~P107(f331(f331(x105281,x105288),x105287))+P107(f331(f331(x105281,x105282),x105283))+~P107(f331(f331(f333(f934(f934(x105284,x105285),f934(x105284,x105285))),f331(f331(f256(f934(x105284,x105285),f934(x105284,x105285)),f331(f331(f256(x105284,x105285),x105282),x105283)),f331(f331(f256(x105284,x105285),x105288),x105287))),f311(f934(x105284,x105285),x105286)))+P107(f331(f331(f333(f934(f934(x105284,x105285),f934(x105284,x105285))),f331(f331(f256(f934(x105284,x105285),f934(x105284,x105285)),f331(f331(f256(x105284,x105285),f852(x105281,x105286,x105287,x105288,x105283,x105282,x105285,x105284)),f855(x105281,x105286,x105287,x105288,x105283,x105282,x105285,x105284))),f331(f331(f256(x105284,x105285),f851(x105281,x105286,x105287,x105288,x105283,x105282,x105285,x105284)),f856(x105281,x105286,x105287,x105288,x105283,x105282,x105285,x105284)))),x105286))
% 204.32/204.32 [10529]~P107(f331(f331(x105291,x105298),x105297))+P107(f331(f331(x105291,x105292),x105293))+~P107(f331(f331(f333(f934(f934(x105294,x105295),f934(x105294,x105295))),f331(f331(f256(f934(x105294,x105295),f934(x105294,x105295)),f331(f331(f256(x105294,x105295),x105298),x105297)),f331(f331(f256(x105294,x105295),x105292),x105293))),f311(f934(x105294,x105295),x105296)))+P107(f331(f331(f333(f934(f934(x105294,x105295),f934(x105294,x105295))),f331(f331(f256(f934(x105294,x105295),f934(x105294,x105295)),f331(f331(f256(x105294,x105295),f857(x105291,x105296,x105293,x105292,x105297,x105298,x105295,x105294)),f860(x105291,x105296,x105293,x105292,x105297,x105298,x105295,x105294))),f331(f331(f256(x105294,x105295),f861(x105291,x105296,x105293,x105292,x105297,x105298,x105295,x105294)),f862(x105291,x105296,x105293,x105292,x105297,x105298,x105295,x105294)))),x105296))
% 204.32/204.32 [10009]~P22(x100097,x100095,x100091,x100098,x100092,x100094)+~P107(f331(f61(x100095),x100096))+~P107(f331(f331(f333(x100095),x100093),x100096))+E(f331(f331(x100091,f331(x100092,x100093)),f331(x100094,f331(f331(f23(f935(x100095,a923)),x100096),f331(f331(f313(x100095),x100093),f192(f935(x100095,a923)))))),f331(x100094,x100096))
% 204.32/204.32 [10017]~P22(x100176,x100173,x100171,x100177,x100178,x100172)+~P107(f331(f61(x100173),x100175))+~P107(f331(f61(x100173),x100174))+E(f331(f331(x100171,f331(x100172,f331(f331(f114(f935(x100173,a923)),x100174),x100175))),f331(x100172,f331(f331(f105(f935(x100173,a923)),x100174),x100175))),f331(f331(x100171,f331(x100172,x100174)),f331(x100172,x100175)))
% 204.32/204.32 [10100]P43(x101001,x101002,x101003,x101004,x101005,f331(f331(x101003,x101006),x101007))+~P43(x101001,x101002,x101003,x101004,f331(f331(f23(f935(x101001,a923)),x101005),f331(f331(f313(x101001),x101008),f192(f935(x101001,a923)))),x101009)+~E(f331(f331(x101003,x101006),x101007),f331(f331(x101003,x101008),x101009))+~P107(f331(f331(f333(x101001),x101008),x101005))
% 204.32/204.32 [10532]P23(x105321,x105322,f331(f331(f313(f926(x105321)),f331(f331(f331(f91(x105321),f331(x105323,f446(x105324,x105325,x105326,x105327,x105323,x105322,x105321,x105328,x105329))),f331(x105327,f446(x105324,x105325,x105326,x105327,x105323,x105322,x105321,x105328,x105329))),f331(x105326,f446(x105324,x105325,x105326,x105327,x105323,x105322,x105321,x105328,x105329)))),f192(f935(f926(x105321),a923))))+~P107(f331(f61(x105329),x105328))+~P23(x105321,x105322,f331(f314(x105329,f926(x105321),f331(f331(f18(x105329,f935(x105321,f935(a924,a923)),f926(x105321)),f331(f331(f18(x105329,a925,f935(f935(x105321,f935(a924,a923)),f926(x105321))),f331(f331(f8(f935(x105321,f935(a924,a923)),f935(a925,f935(f935(x105321,f935(a924,a923)),f926(x105321))),x105329),f91(x105321)),x105323)),x105327)),x105326)),x105328))+P23(x105321,x105322,f331(f314(x105329,f926(x105321),f331(f331(f18(x105329,f935(x105321,f935(a924,a923)),f926(x105321)),f331(f331(f18(x105329,a925,f935(f935(x105321,f935(a924,a923)),f926(x105321))),f331(f331(f8(f935(x105321,f935(a924,a923)),f935(a925,f935(f935(x105321,f935(a924,a923)),f926(x105321))),x105329),f91(x105321)),x105325)),x105327)),x105324)),x105328))
% 204.32/204.32 [10533]~P23(x105331,x105332,f331(f331(f313(f926(x105331)),f331(f331(f331(f91(x105331),f331(x105334,f446(x105336,x105334,x105338,x105335,x105339,x105332,x105331,x105337,x105333))),f331(x105335,f446(x105336,x105334,x105338,x105335,x105339,x105332,x105331,x105337,x105333))),f331(x105336,f446(x105336,x105334,x105338,x105335,x105339,x105332,x105331,x105337,x105333)))),f192(f935(f926(x105331),a923))))+~P107(f331(f61(x105333),x105337))+~P23(x105331,x105332,f331(f314(x105333,f926(x105331),f331(f331(f18(x105333,f935(x105331,f935(a924,a923)),f926(x105331)),f331(f331(f18(x105333,a925,f935(f935(x105331,f935(a924,a923)),f926(x105331))),f331(f331(f8(f935(x105331,f935(a924,a923)),f935(a925,f935(f935(x105331,f935(a924,a923)),f926(x105331))),x105333),f91(x105331)),x105339)),x105335)),x105338)),x105337))+P23(x105331,x105332,f331(f314(x105333,f926(x105331),f331(f331(f18(x105333,f935(x105331,f935(a924,a923)),f926(x105331)),f331(f331(f18(x105333,a925,f935(f935(x105331,f935(a924,a923)),f926(x105331))),f331(f331(f8(f935(x105331,f935(a924,a923)),f935(a925,f935(f935(x105331,f935(a924,a923)),f926(x105331))),x105333),f91(x105331)),x105334)),x105335)),x105336)),x105337))
% 204.32/204.32 [10041]~P11(x100416,x100417,x100418,x100419,x1004110,x100411)+E(f331(f331(x100411,x100412),x100413),f331(f331(x100411,x100414),x100415))+~P107(f331(f331(f333(f934(x100417,x100417)),f331(f331(f256(x100417,x100417),x100413),x100415)),x1004110))+~P107(f331(f331(f333(f934(x100416,x100416)),f331(f331(f256(x100416,x100416),x100412),x100414)),x100419))
% 204.32/204.32 [9636]~P79(x96362)+E(x96361,f192(f935(x96362,a923)))+~P107(f331(f61(x96362),x96361))+P107(f331(f331(f333(x96362),f10(x96362,x96361)),x96361))+~P107(f331(f331(f333(x96362),f331(f331(f114(x96362),f657(x96361,x96362)),f670(x96361,x96362))),f331(f331(f313(x96362),f657(x96361,x96362)),f331(f331(f313(x96362),f670(x96361,x96362)),f192(f935(x96362,a923))))))
% 204.32/204.32 [9637]~P79(x96372)+E(x96371,f192(f935(x96372,a923)))+~P107(f331(f61(x96372),x96371))+P107(f331(f331(f333(x96372),f11(x96372,x96371)),x96371))+~P107(f331(f331(f333(x96372),f331(f331(f105(x96372),f713(x96371,x96372)),f727(x96371,x96372))),f331(f331(f313(x96372),f713(x96371,x96372)),f331(f331(f313(x96372),f727(x96371,x96372)),f192(f935(x96372,a923))))))
% 204.32/204.32 [9668]~P69(x96682)+E(x96681,f192(f935(x96682,a923)))+~P107(f331(f61(x96682),x96681))+P107(f331(f331(f333(x96682),f331(f63(x96682,f81(x96682)),x96681)),x96681))+~P107(f331(f331(f333(x96682),f331(f331(f81(x96682),f740(x96681,x96682)),f750(x96681,x96682))),f331(f331(f313(x96682),f740(x96681,x96682)),f331(f331(f313(x96682),f750(x96681,x96682)),f192(f935(x96682,a923))))))
% 204.32/204.32 [9673]~P109(x96732)+E(x96731,f192(f935(x96732,a923)))+~P107(f331(f61(x96732),x96731))+P107(f331(f331(f333(x96732),f12(x96732,f238(x96732),x96731)),x96731))+~P107(f331(f331(f333(x96732),f331(f331(f238(x96732),f478(x96731,x96732)),f479(x96731,x96732))),f331(f331(f313(x96732),f478(x96731,x96732)),f331(f331(f313(x96732),f479(x96731,x96732)),f192(f935(x96732,a923))))))
% 204.32/204.32 [9674]~P109(x96742)+E(x96741,f192(f935(x96742,a923)))+~P107(f331(f61(x96742),x96741))+P107(f331(f331(f333(x96742),f13(x96742,f237(x96742),x96741)),x96741))+~P107(f331(f331(f333(x96742),f331(f331(f237(x96742),f481(x96741,x96742)),f482(x96741,x96742))),f331(f331(f313(x96742),f481(x96741,x96742)),f331(f331(f313(x96742),f482(x96741,x96742)),f192(f935(x96742,a923))))))
% 204.32/204.32 [6774]~P90(x67742)+E(x67741,f2(x67742))+~E(f331(f331(f80(x67742),x67743),x67741),f2(x67742))+~P107(f331(f331(f239(x67742),f2(x67742)),x67743))+~P107(f331(f331(f239(x67742),f2(x67742)),x67741))
% 204.32/204.32 [6775]~P90(x67752)+E(x67751,f2(x67752))+~E(f331(f331(f80(x67752),x67751),x67753),f2(x67752))+~P107(f331(f331(f239(x67752),f2(x67752)),x67753))+~P107(f331(f331(f239(x67752),f2(x67752)),x67751))
% 204.32/204.32 [7306]~P109(x73062)+~P12(x73062,x73061)+E(x73061,f117(x73062))+~P107(f331(f331(f333(x73062),x73063),f331(f176(x73062),f716(x73061,x73062))))+P107(f331(f331(f239(x73062),f735(x73061,x73062)),x73063))
% 204.32/204.32 [7475]~P109(x74751)+E(f14(x74751,x74752),x74753)+~P107(f331(f61(x74751),x74752))+~P107(f331(f331(f239(x74751),x74753),f500(x74753,x74752,x74751)))+~P107(f331(f331(f333(x74751),x74753),x74752))
% 204.32/204.32 [7508]~P109(x75081)+~P12(x75081,x75082)+~P12(x75081,x75083)+P12(x75081,f331(f331(f138(x75081),x75082),x75083))+P107(f331(f331(f333(x75081),f722(x75083,x75082,x75081)),f331(f176(x75081),x75082)))
% 204.32/204.32 [7509]~P109(x75091)+~P12(x75091,x75092)+~P12(x75091,x75093)+P12(x75091,f331(f331(f138(x75091),x75092),x75093))+P107(f331(f331(f333(x75091),f723(x75093,x75092,x75091)),f331(f176(x75091),x75093)))
% 204.32/204.32 [7568]~P109(x75681)+E(f14(x75681,x75682),x75683)+~P107(f331(f61(x75681),x75682))+P107(f331(f331(f333(x75681),f500(x75683,x75682,x75681)),x75682))+~P107(f331(f331(f333(x75681),x75683),x75682))
% 204.32/204.32 [7569]~P109(x75691)+E(f15(x75691,x75692),x75693)+~P107(f331(f61(x75691),x75692))+P107(f331(f331(f333(x75691),f503(x75693,x75692,x75691)),x75692))+~P107(f331(f331(f333(x75691),x75693),x75692))
% 204.32/204.32 [8140]~P109(x81401)+E(f15(x81401,x81402),x81403)+~P107(f331(f61(x81401),x81402))+~P107(f331(f331(f333(x81401),x81403),x81402))+~P107(f331(f331(f239(x81401),f503(x81403,x81402,x81401)),x81403))
% 204.32/204.32 [8461]~P109(x84611)+~P12(x84611,x84612)+~P12(x84611,x84613)+P12(x84611,f331(f331(f138(x84611),x84612),x84613))+~P107(f331(f331(f239(x84611),f722(x84613,x84612,x84611)),f723(x84613,x84612,x84611)))
% 204.32/204.32 [9267]~P79(x92672)+E(x92671,f192(f935(x92672,a923)))+~E(f331(f331(f114(x92672),f331(x92673,f436(x92671,x92673,x92672))),f331(x92673,f440(x92671,x92673,x92672))),f331(x92673,f331(f331(f114(x92672),f436(x92671,x92673,x92672)),f440(x92671,x92673,x92672))))+E(f10(x92672,f331(f314(x92672,x92672,x92673),x92671)),f331(x92673,f10(x92672,x92671)))+~P107(f331(f61(x92672),x92671))
% 204.32/204.32 [9268]~P79(x92682)+E(x92681,f192(f935(x92682,a923)))+~E(f331(f331(f105(x92682),f331(x92683,f437(x92681,x92683,x92682))),f331(x92683,f439(x92681,x92683,x92682))),f331(x92683,f331(f331(f105(x92682),f437(x92681,x92683,x92682)),f439(x92681,x92683,x92682))))+E(f11(x92682,f331(f314(x92682,x92682,x92683),x92681)),f331(x92683,f11(x92682,x92681)))+~P107(f331(f61(x92682),x92681))
% 204.32/204.32 [9269]~P109(x92692)+E(x92691,f192(f935(x92692,a923)))+~E(f331(f331(f237(x92692),f331(x92693,f483(x92691,x92693,x92692))),f331(x92693,f492(x92691,x92693,x92692))),f331(x92693,f331(f331(f237(x92692),f483(x92691,x92693,x92692)),f492(x92691,x92693,x92692))))+E(f14(x92692,f331(f314(x92692,x92692,x92693),x92691)),f331(x92693,f14(x92692,x92691)))+~P107(f331(f61(x92692),x92691))
% 204.32/204.32 [9270]~P109(x92702)+E(x92701,f192(f935(x92702,a923)))+~E(f331(f331(f238(x92702),f331(x92703,f484(x92701,x92703,x92702))),f331(x92703,f491(x92701,x92703,x92702))),f331(x92703,f331(f331(f238(x92702),f484(x92701,x92703,x92702)),f491(x92701,x92703,x92702))))+E(f15(x92702,f331(f314(x92702,x92702,x92703),x92701)),f331(x92703,f15(x92702,x92701)))+~P107(f331(f61(x92702),x92701))
% 204.32/204.32 [9339]~P109(x93392)+E(x93391,f192(f935(x93392,a923)))+~E(f331(f331(f238(x93392),f331(x93393,f485(x93391,x93393,x93392))),f331(x93393,f488(x93391,x93393,x93392))),f331(x93393,f331(f331(f238(x93392),f485(x93391,x93393,x93392)),f488(x93391,x93393,x93392))))+E(f12(x93392,f238(x93392),f331(f314(x93392,x93392,x93393),x93391)),f331(x93393,f12(x93392,f238(x93392),x93391)))+~P107(f331(f61(x93392),x93391))
% 204.32/204.32 [9340]~P109(x93402)+E(x93401,f192(f935(x93402,a923)))+~E(f331(f331(f237(x93402),f331(x93403,f489(x93401,x93403,x93402))),f331(x93403,f490(x93401,x93403,x93402))),f331(x93403,f331(f331(f237(x93402),f489(x93401,x93403,x93402)),f490(x93401,x93403,x93402))))+E(f13(x93402,f237(x93402),f331(f314(x93402,x93402,x93403),x93401)),f331(x93403,f13(x93402,f237(x93402),x93401)))+~P107(f331(f61(x93402),x93401))
% 204.32/204.32 [6790]~P69(x67902)+E(x67901,f192(f935(x67902,a923)))+~P107(f331(f61(x67902),x67901))+E(f331(f63(x67902,f81(x67902)),f331(f331(f313(x67902),x67903),x67901)),f331(f331(f81(x67902),x67903),f331(f63(x67902,f81(x67902)),x67901)))+P107(f331(f331(f333(x67902),x67903),x67901))
% 204.32/204.32 [7312]~P79(x73122)+E(f331(f331(f114(x73122),f10(x73122,x73121)),f10(x73122,x73123)),f10(x73122,x73123))+E(x73121,f192(f935(x73122,a923)))+~P107(f331(f61(x73122),x73123))+~P107(f331(f331(f239(f935(x73122,a923)),x73121),x73123))
% 204.32/204.32 [7313]~P79(x73132)+E(f331(f331(f105(x73132),f11(x73132,x73131)),f11(x73132,x73133)),f11(x73132,x73133))+E(x73131,f192(f935(x73132,a923)))+~P107(f331(f61(x73132),x73133))+~P107(f331(f331(f239(f935(x73132,a923)),x73131),x73133))
% 204.32/204.32 [7314]~P109(x73142)+E(f331(f331(f237(x73142),f14(x73142,x73141)),f14(x73142,x73143)),f14(x73142,x73143))+E(x73141,f192(f935(x73142,a923)))+~P107(f331(f61(x73142),x73143))+~P107(f331(f331(f239(f935(x73142,a923)),x73141),x73143))
% 204.32/204.32 [7315]~P109(x73152)+E(f331(f331(f238(x73152),f15(x73152,x73151)),f15(x73152,x73153)),f15(x73152,x73153))+E(x73151,f192(f935(x73152,a923)))+~P107(f331(f61(x73152),x73153))+~P107(f331(f331(f239(f935(x73152,a923)),x73151),x73153))
% 204.32/204.32 [7616]~P109(x76162)+E(x76161,f192(f935(x76162,a923)))+~P107(f331(f61(x76162),x76163))+P107(f331(f331(f239(x76162),f14(x76162,x76163)),f14(x76162,x76161)))+~P107(f331(f331(f239(f935(x76162,a923)),x76161),x76163))
% 204.32/204.32 [7617]~P109(x76172)+E(x76171,f192(f935(x76172,a923)))+~P107(f331(f61(x76172),x76173))+P107(f331(f331(f239(x76172),f15(x76172,x76171)),f15(x76172,x76173)))+~P107(f331(f331(f239(f935(x76172,a923)),x76171),x76173))
% 204.32/204.32 [7672]~P79(x76721)+E(f10(x76721,x76722),x76723)+~P107(f331(f61(x76721),x76722))+~E(f331(f331(f23(f935(x76721,a923)),x76722),f331(f331(f313(x76721),x76723),f192(f935(x76721,a923)))),f192(f935(x76721,a923)))+~P107(f331(f331(f333(x76721),x76723),x76722))
% 204.32/204.32 [7673]~P79(x76731)+E(f11(x76731,x76732),x76733)+~P107(f331(f61(x76731),x76732))+~E(f331(f331(f23(f935(x76731,a923)),x76732),f331(f331(f313(x76731),x76733),f192(f935(x76731,a923)))),f192(f935(x76731,a923)))+~P107(f331(f331(f333(x76731),x76733),x76732))
% 204.32/204.32 [7674]~P109(x76741)+E(f14(x76741,x76742),x76743)+~P107(f331(f61(x76741),x76742))+~E(f331(f331(f23(f935(x76741,a923)),x76742),f331(f331(f313(x76741),x76743),f192(f935(x76741,a923)))),f192(f935(x76741,a923)))+~P107(f331(f331(f333(x76741),x76743),x76742))
% 204.32/204.32 [7675]~P109(x76751)+E(f15(x76751,x76752),x76753)+~P107(f331(f61(x76751),x76752))+~E(f331(f331(f23(f935(x76751,a923)),x76752),f331(f331(f313(x76751),x76753),f192(f935(x76751,a923)))),f192(f935(x76751,a923)))+~P107(f331(f331(f333(x76751),x76753),x76752))
% 204.32/204.32 [7769]~P109(x77691)+E(f12(x77691,f238(x77691),x77692),x77693)+~P107(f331(f61(x77691),x77692))+~E(f331(f331(f23(f935(x77691,a923)),x77692),f331(f331(f313(x77691),x77693),f192(f935(x77691,a923)))),f192(f935(x77691,a923)))+~P107(f331(f331(f333(x77691),x77693),x77692))
% 204.32/204.32 [7770]~P109(x77701)+E(f13(x77701,f237(x77701),x77702),x77703)+~P107(f331(f61(x77701),x77702))+~E(f331(f331(f23(f935(x77701,a923)),x77702),f331(f331(f313(x77701),x77703),f192(f935(x77701,a923)))),f192(f935(x77701,a923)))+~P107(f331(f331(f333(x77701),x77703),x77702))
% 204.32/204.32 [7805]~P103(x78052)+E(x78051,f192(f935(x78052,a923)))+~P107(f331(f61(x78052),x78051))+~P107(f331(f331(f239(x78052),x78053),f702(x78053,x78051,x78052)))+P107(f331(f331(f239(x78052),x78053),f331(f63(x78052,f105(x78052)),x78051)))
% 204.32/204.32 [7806]~P109(x78062)+E(x78061,f192(f935(x78062,a923)))+~P107(f331(f61(x78062),x78061))+~P107(f331(f331(f239(x78062),x78063),f471(x78063,x78061,x78062)))+P107(f331(f331(f239(x78062),x78063),f331(f63(x78062,f237(x78062)),x78061)))
% 204.32/204.32 [7807]~P109(x78072)+E(x78071,f192(f935(x78072,a923)))+~P107(f331(f61(x78072),x78071))+~P107(f331(f331(f240(x78072),x78073),f474(x78073,x78071,x78072)))+P107(f331(f331(f240(x78072),x78073),f331(f63(x78072,f237(x78072)),x78071)))
% 204.32/204.32 [7892]~P103(x78922)+E(x78921,f192(f935(x78922,a923)))+~P107(f331(f61(x78922),x78921))+P107(f331(f331(f333(x78922),f702(x78923,x78921,x78922)),x78921))+P107(f331(f331(f239(x78922),x78923),f331(f63(x78922,f105(x78922)),x78921)))
% 204.32/204.32 [7893]~P109(x78932)+E(x78931,f192(f935(x78932,a923)))+~P107(f331(f61(x78932),x78931))+P107(f331(f331(f333(x78932),f471(x78933,x78931,x78932)),x78931))+P107(f331(f331(f239(x78932),x78933),f331(f63(x78932,f237(x78932)),x78931)))
% 204.32/204.32 [7894]~P109(x78942)+E(x78941,f192(f935(x78942,a923)))+~P107(f331(f61(x78942),x78941))+P107(f331(f331(f333(x78942),f474(x78943,x78941,x78942)),x78941))+P107(f331(f331(f240(x78942),x78943),f331(f63(x78942,f237(x78942)),x78941)))
% 204.32/204.32 [8018]~P109(x80182)+E(x80181,f192(f935(x80182,a923)))+E(f331(f331(f237(x80182),f13(x80182,f237(x80182),x80181)),f13(x80182,f237(x80182),x80183)),f13(x80182,f237(x80182),x80183))+~P107(f331(f61(x80182),x80183))+~P107(f331(f331(f239(f935(x80182,a923)),x80181),x80183))
% 204.32/204.32 [8019]~P109(x80192)+E(x80191,f192(f935(x80192,a923)))+E(f331(f331(f238(x80192),f12(x80192,f238(x80192),x80191)),f12(x80192,f238(x80192),x80193)),f12(x80192,f238(x80192),x80193))+~P107(f331(f61(x80192),x80193))+~P107(f331(f331(f239(f935(x80192,a923)),x80191),x80193))
% 204.32/204.32 [8217]~E(f368(x82171,x82173,x82172),f369(x82171,x82173,x82172))+~E(f331(f35(x82172),f370(x82171,x82173,x82172)),x82171)+E(f331(f331(f81(a927),x82171),f331(f35(f935(x82172,a923)),x82173)),f331(f35(x82172),f37(f935(x82172,a923),x82173)))+~P107(f331(f61(x82172),f37(f935(x82172,a923),x82173)))+~P107(f331(f61(f935(x82172,a923)),x82173))
% 204.32/204.32 [8400]~P109(x84002)+E(x84001,f192(f935(x84002,a923)))+~P107(f331(f61(x84002),x84003))+P107(f331(f331(f239(x84002),f331(f63(x84002,f237(x84002)),x84003)),f331(f63(x84002,f237(x84002)),x84001)))+~P107(f331(f331(f239(f935(x84002,a923)),x84001),x84003))
% 204.32/204.33 [8705]~E(f368(x87051,x87053,x87052),f369(x87051,x87053,x87052))+E(f331(f331(f81(a927),x87051),f331(f35(f935(x87052,a923)),x87053)),f331(f35(x87052),f37(f935(x87052,a923),x87053)))+P107(f331(f331(f333(f935(x87052,a923)),f370(x87051,x87053,x87052)),x87053))+~P107(f331(f61(x87052),f37(f935(x87052,a923),x87053)))+~P107(f331(f61(f935(x87052,a923)),x87053))
% 204.32/204.33 [8734]~E(f331(f35(x87342),f370(x87341,x87343,x87342)),x87341)+E(f331(f331(f81(a927),x87341),f331(f35(f935(x87342,a923)),x87343)),f331(f35(x87342),f37(f935(x87342,a923),x87343)))+P107(f331(f331(f333(f935(x87342,a923)),f369(x87341,x87343,x87342)),x87343))+~P107(f331(f61(x87342),f37(f935(x87342,a923),x87343)))+~P107(f331(f61(f935(x87342,a923)),x87343))
% 204.32/204.33 [8735]~E(f331(f35(x87352),f370(x87351,x87353,x87352)),x87351)+E(f331(f331(f81(a927),x87351),f331(f35(f935(x87352,a923)),x87353)),f331(f35(x87352),f37(f935(x87352,a923),x87353)))+P107(f331(f331(f333(f935(x87352,a923)),f368(x87351,x87353,x87352)),x87353))+~P107(f331(f61(x87352),f37(f935(x87352,a923),x87353)))+~P107(f331(f61(f935(x87352,a923)),x87353))
% 204.32/204.33 [8763]~E(f331(f35(x87632),f370(x87631,x87633,x87632)),x87631)+~E(f331(f331(f105(f935(x87632,a923)),f369(x87631,x87633,x87632)),f368(x87631,x87633,x87632)),f192(f935(x87632,a923)))+E(f331(f331(f81(a927),x87631),f331(f35(f935(x87632,a923)),x87633)),f331(f35(x87632),f37(f935(x87632,a923),x87633)))+~P107(f331(f61(f935(x87632,a923)),x87633))+~P107(f331(f61(x87632),f37(f935(x87632,a923),x87633)))
% 204.32/204.33 [9027]E(f331(f331(f81(a927),x90271),f331(f35(f935(x90272,a923)),x90273)),f331(f35(x90272),f37(f935(x90272,a923),x90273)))+P107(f331(f331(f333(f935(x90272,a923)),f370(x90271,x90273,x90272)),x90273))+P107(f331(f331(f333(f935(x90272,a923)),f369(x90271,x90273,x90272)),x90273))+~P107(f331(f61(f935(x90272,a923)),x90273))+~P107(f331(f61(x90272),f37(f935(x90272,a923),x90273)))
% 204.32/204.33 [9028]E(f331(f331(f81(a927),x90281),f331(f35(f935(x90282,a923)),x90283)),f331(f35(x90282),f37(f935(x90282,a923),x90283)))+P107(f331(f331(f333(f935(x90282,a923)),f370(x90281,x90283,x90282)),x90283))+P107(f331(f331(f333(f935(x90282,a923)),f368(x90281,x90283,x90282)),x90283))+~P107(f331(f61(f935(x90282,a923)),x90283))+~P107(f331(f61(x90282),f37(f935(x90282,a923),x90283)))
% 204.32/204.33 [9054]~E(f331(f331(f105(f935(x90542,a923)),f369(x90541,x90543,x90542)),f368(x90541,x90543,x90542)),f192(f935(x90542,a923)))+E(f331(f331(f81(a927),x90541),f331(f35(f935(x90542,a923)),x90543)),f331(f35(x90542),f37(f935(x90542,a923),x90543)))+~P107(f331(f61(f935(x90542,a923)),x90543))+P107(f331(f331(f333(f935(x90542,a923)),f370(x90541,x90543,x90542)),x90543))+~P107(f331(f61(x90542),f37(f935(x90542,a923),x90543)))
% 204.32/204.33 [9314]~P98(x93142)+E(x93141,f192(f935(x93142,a923)))+~E(f331(f331(f81(x93142),f331(x93143,f444(x93141,x93143,x93142))),f331(x93143,f445(x93141,x93143,x93142))),f331(x93143,f331(f331(f81(x93142),f444(x93141,x93143,x93142)),f445(x93141,x93143,x93142))))+~P107(f331(f61(x93142),x93141))+E(f331(f63(x93142,f81(x93142)),f331(f314(x93142,x93142,x93143),x93141)),f331(x93143,f331(f63(x93142,f81(x93142)),x93141)))
% 204.32/204.33 [10249]P107(f331(f331(x102491,x102492),x102493))+P107(f331(f331(f240(a1),f510(x102491,x102493,x102492)),f511(x102491,x102493,x102492)))+P107(f331(f331(f239(a1),f511(x102491,x102493,x102492)),f2(a1)))+P107(f331(f331(x102491,f510(x102491,x102493,x102492)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f511(x102491,x102493,x102492))))+~P107(f331(f319(f934(a1,a1),a58),f331(f331(f256(a1,a1),x102492),x102493)))
% 204.32/204.33 [10255]P107(f331(f331(x102551,x102552),x102553))+P107(f331(f331(f239(a1),f509(x102551,x102553,x102552)),f2(a1)))+P107(f331(f331(x102551,f505(x102551,x102553,x102552)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f509(x102551,x102553,x102552))))+P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),f505(x102551,x102553,x102552)),f509(x102551,x102553,x102552))))+~P107(f331(f319(f934(a1,a1),a52),f331(f331(f256(a1,a1),x102552),x102553)))
% 204.32/204.33 [8189]~P114(x81891)+~P107(f331(f331(f239(x81891),x81892),f78(x81891)))+~P107(f331(f331(f239(x81891),f2(x81891)),x81892))+~P107(f331(f331(f239(x81891),f2(x81891)),x81893))+P107(f331(f331(f239(x81891),f331(f331(f81(x81891),x81892),x81893)),x81893))
% 204.32/204.33 [8190]~P114(x81901)+~P107(f331(f331(f239(x81901),x81903),f78(x81901)))+~P107(f331(f331(f239(x81901),f2(x81901)),x81903))+~P107(f331(f331(f239(x81901),f2(x81901)),x81902))+P107(f331(f331(f239(x81901),f331(f331(f81(x81901),x81902),x81903)),x81902))
% 204.32/204.33 [8546]~P109(x85462)+E(x85461,f192(f935(x85462,a923)))+~P107(f331(f61(x85462),x85461))+P107(f331(f331(f239(x85462),f472(x85463,x85461,x85462)),x85463))+~P107(f331(f331(f239(x85462),f331(f63(x85462,f237(x85462)),x85461)),x85463))
% 204.32/204.33 [8547]~P109(x85472)+E(x85471,f192(f935(x85472,a923)))+~P107(f331(f61(x85472),x85471))+P107(f331(f331(f333(x85472),f472(x85473,x85471,x85472)),x85471))+~P107(f331(f331(f239(x85472),f331(f63(x85472,f237(x85472)),x85471)),x85473))
% 204.32/204.33 [8548]~P109(x85482)+E(x85481,f192(f935(x85482,a923)))+~P107(f331(f61(x85482),x85481))+P107(f331(f331(f333(x85482),f475(x85483,x85481,x85482)),x85481))+~P107(f331(f331(f240(x85482),f331(f63(x85482,f237(x85482)),x85481)),x85483))
% 204.32/204.33 [8549]~P109(x85492)+E(x85491,f192(f935(x85492,a923)))+~P107(f331(f61(x85492),x85491))+P107(f331(f331(f240(x85492),f475(x85493,x85491,x85492)),x85493))+~P107(f331(f331(f240(x85492),f331(f63(x85492,f237(x85492)),x85491)),x85493))
% 204.32/204.33 [8635]~P107(f331(x86351,x86353))+P107(f331(x86351,f427(x86351,x86352)))+P107(f331(x86351,f426(x86351,x86352)))+~P107(f331(f331(f240(a1),f2(a1)),x86352))+P107(f331(x86351,f331(f331(f23(a1),f426(x86351,x86352)),f331(f331(f81(a1),f428(x86351,x86352)),x86352))))
% 204.32/204.33 [8864]~P107(f331(x88641,x88643))+P107(f331(x88641,f426(x88641,x88642)))+~P107(f331(f331(f240(a1),f2(a1)),x88642))+P107(f331(f331(f333(a1),f427(x88641,x88642)),f307(a1,f78(a1),x88642)))+P107(f331(x88641,f331(f331(f23(a1),f426(x88641,x88642)),f331(f331(f81(a1),f428(x88641,x88642)),x88642))))
% 204.32/204.33 [9076]~P107(f331(x90761,x90763))+~P107(f331(x90761,f426(x90761,x90762)))+P107(f331(x90761,f427(x90761,x90762)))+~P107(f331(f331(f240(a1),f2(a1)),x90762))+~P107(f331(x90761,f331(f331(f23(a1),f426(x90761,x90762)),f331(f331(f81(a1),f428(x90761,x90762)),x90762))))
% 204.32/204.33 [9202]~P107(f331(x92021,x92023))+~P107(f331(x92021,f426(x92021,x92022)))+~P107(f331(f331(f240(a1),f2(a1)),x92022))+P107(f331(f331(f333(a1),f427(x92021,x92022)),f307(a1,f78(a1),x92022)))+~P107(f331(x92021,f331(f331(f23(a1),f426(x92021,x92022)),f331(f331(f81(a1),f428(x92021,x92022)),x92022))))
% 204.32/204.33 [8982]~P79(x89821)+~P107(f331(f61(x89821),x89822))+E(f331(f331(f23(f935(x89821,a923)),x89822),f331(f331(f313(x89821),x89823),f192(f935(x89821,a923)))),f192(f935(x89821,a923)))+~P107(f331(f331(f333(x89821),x89823),x89822))+E(f331(f331(f114(x89821),x89823),f10(x89821,f331(f331(f23(f935(x89821,a923)),x89822),f331(f331(f313(x89821),x89823),f192(f935(x89821,a923)))))),f10(x89821,x89822))
% 204.32/204.33 [8983]~P79(x89831)+~P107(f331(f61(x89831),x89832))+E(f331(f331(f23(f935(x89831,a923)),x89832),f331(f331(f313(x89831),x89833),f192(f935(x89831,a923)))),f192(f935(x89831,a923)))+~P107(f331(f331(f333(x89831),x89833),x89832))+E(f331(f331(f105(x89831),x89833),f11(x89831,f331(f331(f23(f935(x89831,a923)),x89832),f331(f331(f313(x89831),x89833),f192(f935(x89831,a923)))))),f11(x89831,x89832))
% 204.32/204.33 [8984]~P109(x89841)+~P107(f331(f61(x89841),x89842))+E(f331(f331(f23(f935(x89841,a923)),x89842),f331(f331(f313(x89841),x89843),f192(f935(x89841,a923)))),f192(f935(x89841,a923)))+~P107(f331(f331(f333(x89841),x89843),x89842))+E(f331(f331(f237(x89841),x89843),f14(x89841,f331(f331(f23(f935(x89841,a923)),x89842),f331(f331(f313(x89841),x89843),f192(f935(x89841,a923)))))),f14(x89841,x89842))
% 204.32/204.33 [8985]~P109(x89851)+~P107(f331(f61(x89851),x89852))+E(f331(f331(f23(f935(x89851,a923)),x89852),f331(f331(f313(x89851),x89853),f192(f935(x89851,a923)))),f192(f935(x89851,a923)))+~P107(f331(f331(f333(x89851),x89853),x89852))+E(f331(f331(f238(x89851),x89853),f15(x89851,f331(f331(f23(f935(x89851,a923)),x89852),f331(f331(f313(x89851),x89853),f192(f935(x89851,a923)))))),f15(x89851,x89852))
% 204.32/204.33 [9047]~P109(x90471)+~P107(f331(f61(x90471),x90472))+E(f331(f331(f23(f935(x90471,a923)),x90472),f331(f331(f313(x90471),x90473),f192(f935(x90471,a923)))),f192(f935(x90471,a923)))+~P107(f331(f331(f333(x90471),x90473),x90472))+E(f331(f331(f238(x90471),x90473),f12(x90471,f238(x90471),f331(f331(f23(f935(x90471,a923)),x90472),f331(f331(f313(x90471),x90473),f192(f935(x90471,a923)))))),f12(x90471,f238(x90471),x90472))
% 204.32/204.33 [9048]~P109(x90481)+~P107(f331(f61(x90481),x90482))+E(f331(f331(f23(f935(x90481,a923)),x90482),f331(f331(f313(x90481),x90483),f192(f935(x90481,a923)))),f192(f935(x90481,a923)))+~P107(f331(f331(f333(x90481),x90483),x90482))+E(f331(f331(f237(x90481),x90483),f13(x90481,f237(x90481),f331(f331(f23(f935(x90481,a923)),x90482),f331(f331(f313(x90481),x90483),f192(f935(x90481,a923)))))),f13(x90481,f237(x90481),x90482))
% 204.32/204.33 [9063]~P79(x90631)+~P107(f331(f61(x90631),x90633))+~P107(f331(f61(x90631),x90632))+E(f331(f331(f105(f935(x90631,a923)),x90632),x90633),f192(f935(x90631,a923)))+E(f331(f331(f114(x90631),f10(x90631,f331(f331(f114(f935(x90631,a923)),x90632),x90633))),f10(x90631,f331(f331(f105(f935(x90631,a923)),x90632),x90633))),f331(f331(f114(x90631),f10(x90631,x90632)),f10(x90631,x90633)))
% 204.32/204.33 [9064]~P79(x90641)+~P107(f331(f61(x90641),x90643))+~P107(f331(f61(x90641),x90642))+E(f331(f331(f105(f935(x90641,a923)),x90642),x90643),f192(f935(x90641,a923)))+E(f331(f331(f105(x90641),f11(x90641,f331(f331(f114(f935(x90641,a923)),x90642),x90643))),f11(x90641,f331(f331(f105(f935(x90641,a923)),x90642),x90643))),f331(f331(f105(x90641),f11(x90641,x90642)),f11(x90641,x90643)))
% 204.32/204.33 [9065]~P109(x90651)+~P107(f331(f61(x90651),x90653))+~P107(f331(f61(x90651),x90652))+E(f331(f331(f105(f935(x90651,a923)),x90652),x90653),f192(f935(x90651,a923)))+E(f331(f331(f237(x90651),f14(x90651,f331(f331(f114(f935(x90651,a923)),x90652),x90653))),f14(x90651,f331(f331(f105(f935(x90651,a923)),x90652),x90653))),f331(f331(f237(x90651),f14(x90651,x90652)),f14(x90651,x90653)))
% 204.32/204.33 [9066]~P109(x90661)+~P107(f331(f61(x90661),x90663))+~P107(f331(f61(x90661),x90662))+E(f331(f331(f105(f935(x90661,a923)),x90662),x90663),f192(f935(x90661,a923)))+E(f331(f331(f238(x90661),f15(x90661,f331(f331(f114(f935(x90661,a923)),x90662),x90663))),f15(x90661,f331(f331(f105(f935(x90661,a923)),x90662),x90663))),f331(f331(f238(x90661),f15(x90661,x90662)),f15(x90661,x90663)))
% 204.32/204.33 [9286]~P109(x92861)+~P107(f331(f61(x92861),x92863))+~P107(f331(f61(x92861),x92862))+E(f331(f331(f105(f935(x92861,a923)),x92862),x92863),f192(f935(x92861,a923)))+E(f331(f331(f237(x92861),f13(x92861,f237(x92861),f331(f331(f114(f935(x92861,a923)),x92862),x92863))),f13(x92861,f237(x92861),f331(f331(f105(f935(x92861,a923)),x92862),x92863))),f331(f331(f237(x92861),f13(x92861,f237(x92861),x92862)),f13(x92861,f237(x92861),x92863)))
% 204.32/204.33 [9287]~P109(x92871)+~P107(f331(f61(x92871),x92873))+~P107(f331(f61(x92871),x92872))+E(f331(f331(f105(f935(x92871,a923)),x92872),x92873),f192(f935(x92871,a923)))+E(f331(f331(f238(x92871),f12(x92871,f238(x92871),f331(f331(f114(f935(x92871,a923)),x92872),x92873))),f12(x92871,f238(x92871),f331(f331(f105(f935(x92871,a923)),x92872),x92873))),f331(f331(f238(x92871),f12(x92871,f238(x92871),x92872)),f12(x92871,f238(x92871),x92873)))
% 204.32/204.33 [10097]~P127(x100973)+E(x100971,x100972)+~P107(f331(f331(f239(x100973),f2(x100973)),x100972))+~P107(f331(f331(f239(x100973),f2(x100973)),x100971))+~E(f331(f331(f248(x100973),x100971),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f248(x100973),x100972),f331(f107(a927),f331(f331(f80(a1),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f23(a1),f331(f331(f80(a1),a83),a83)),a101)))))
% 204.32/204.33 [6589]E(f911(x65891,x65892,x65893),x65894)+E(f331(x65891,x65894),f2(a927))+~E(f331(f331(f6(x65893,a927),x65891),x65892),f78(a927))+~P107(f331(f61(x65893),x65892))+~P107(f331(f331(f333(x65893),x65894),x65892))
% 204.32/204.33 [6653]E(f914(x66531,x66532,x66533),x66534)+E(f331(x66531,x66534),f2(a927))+~E(f331(f331(f6(x66533,a927),x66531),x66532),f331(a116,f2(a927)))+~P107(f331(f61(x66533),x66532))+~P107(f331(f331(f333(x66533),x66534),x66532))
% 204.32/204.33 [6760]~P109(x67601)+~P4(x67601)+P107(f331(f331(f240(x67601),x67602),f37(x67601,x67603)))+~P107(f331(f331(f240(x67601),x67602),x67604))+~P107(f331(f331(f333(x67601),x67604),x67603))
% 204.32/204.33 [6932]~P109(x69321)+~P4(x69321)+~P107(f331(f331(f240(x69321),x69324),x69323))+P107(f331(f331(f240(x69321),f38(x69321,x69322)),x69323))+~P107(f331(f331(f333(x69321),x69324),x69322))
% 204.32/204.33 [7190]~P127(x71903)+E(x71901,x71902)+~E(f331(f331(f248(x71903),x71901),f331(a116,x71904)),f331(f331(f248(x71903),x71902),f331(a116,x71904)))+~P107(f331(f331(f239(x71903),f2(x71903)),x71902))+~P107(f331(f331(f239(x71903),f2(x71903)),x71901))
% 204.32/204.33 [7401]~E(f918(x74012,x74013,x74011,x74014),x74014)+~E(f331(x74012,x74014),f78(a927))+E(f331(f331(f6(x74011,a927),x74012),x74013),f78(a927))+~P107(f331(f61(x74011),x74013))+~P107(f331(f331(f333(x74011),x74014),x74013))
% 204.32/204.33 [7408]~P120(x74084)+~P135(x74084)+E(f331(x74081,f907(x74081,x74082,x74083,x74084)),f2(x74084))+~E(f331(f331(f9(x74083,x74084),x74081),x74082),f2(x74084))+~P107(f331(f61(x74083),x74082))
% 204.32/204.33 [7498]~E(f917(x74982,x74983,x74981,x74984),x74984)+~E(f331(x74982,x74984),f331(a116,f2(a927)))+E(f331(f331(f6(x74981,a927),x74982),x74983),f331(a116,f2(a927)))+~P107(f331(f61(x74981),x74983))+~P107(f331(f331(f333(x74981),x74984),x74983))
% 204.32/204.33 [8229]~E(f331(x82292,x82294),f78(a927))+~E(f331(x82292,f918(x82292,x82293,x82291,x82294)),f2(a927))+E(f331(f331(f6(x82291,a927),x82292),x82293),f78(a927))+~P107(f331(f61(x82291),x82293))+~P107(f331(f331(f333(x82291),x82294),x82293))
% 204.32/204.33 [8273]~E(f331(x82732,x82734),f331(a116,f2(a927)))+~E(f331(x82732,f917(x82732,x82733,x82731,x82734)),f2(a927))+E(f331(f331(f6(x82731,a927),x82732),x82733),f331(a116,f2(a927)))+~P107(f331(f61(x82731),x82733))+~P107(f331(f331(f333(x82731),x82734),x82733))
% 204.32/204.33 [8831]~P109(x88311)+~P12(x88311,x88314)+P12(x88311,x88312)+~E(x88312,f331(f331(f155(x88311),x88313),x88314))+~P107(f331(f331(f239(x88311),x88313),f736(x88312,x88311,x88314,x88313)))
% 204.32/204.33 [8868]E(x88681,x88682)+E(f331(f331(f23(a1),f402(x88683,x88682,x88684,x88681)),f403(x88683,x88682,x88684,x88681)),x88681)+~E(f331(f331(f80(a1),x88681),x88684),x88682)+~P107(f331(f331(f240(a1),f2(a1)),x88684))+~P107(f331(f331(f333(a1),x88682),x88683))
% 204.32/204.33 [8869]E(x88691,x88692)+E(f331(f331(f80(a1),f415(x88693,x88692,x88694,x88691)),f416(x88693,x88692,x88694,x88691)),x88691)+~E(f331(f331(f23(a1),x88691),x88694),x88692)+~P107(f331(f331(f240(a1),f2(a1)),x88694))+~P107(f331(f331(f333(a1),x88692),x88693))
% 204.32/204.33 [9061]E(f331(x90611,f607(x90612,x90611,x90613,x90614)),x90612)+P107(f331(f331(f239(a927),x90614),f608(x90612,x90611,x90613,x90614)))+~P107(f331(f331(f239(a1),x90612),f331(x90611,x90613)))+~P107(f331(f331(f240(a927),x90614),x90613))+~P107(f331(f331(f239(a1),f331(x90611,x90614)),x90612))
% 204.32/204.33 [9062]~P109(x90621)+~P12(x90621,x90623)+P12(x90621,x90622)+~E(x90622,f331(f331(f155(x90621),x90624),x90623))+P107(f331(f331(f333(x90621),f736(x90622,x90621,x90623,x90624)),f331(f176(x90621),x90623)))
% 204.32/204.33 [9080]~P120(x90804)+~P135(x90804)+~E(f331(f331(f9(x90801,x90804),x90802),x90803),f2(x90804))+~P107(f331(f61(x90801),x90803))+P107(f331(f331(f333(x90801),f907(x90802,x90803,x90801,x90804)),x90803))
% 204.32/204.33 [9118]~E(f331(x91182,x91184),f78(a927))+E(f331(f331(f6(x91181,a927),x91182),x91183),f78(a927))+~P107(f331(f61(x91181),x91183))+~P107(f331(f331(f333(x91181),x91184),x91183))+P107(f331(f331(f333(x91181),f918(x91182,x91183,x91181,x91184)),x91183))
% 204.32/204.33 [9130]E(x91301,x91302)+~E(f331(f331(f80(a1),x91302),x91304),x91301)+~P107(f331(f331(f240(a1),f2(a1)),x91304))+~P107(f331(f331(f333(a1),x91301),x91303))+P107(f331(f331(f333(a1),f402(x91303,x91301,x91304,x91302)),x91303))
% 204.32/204.33 [9131]E(x91311,x91312)+~E(f331(f331(f23(a1),x91312),x91314),x91311)+~P107(f331(f331(f240(a1),f2(a1)),x91314))+~P107(f331(f331(f333(a1),x91311),x91313))+P107(f331(f331(f333(a1),f415(x91313,x91311,x91314,x91312)),x91313))
% 204.32/204.33 [9133]~E(f331(x91332,x91334),f331(a116,f2(a927)))+E(f331(f331(f6(x91331,a927),x91332),x91333),f331(a116,f2(a927)))+~P107(f331(f61(x91331),x91333))+~P107(f331(f331(f333(x91331),x91334),x91333))+P107(f331(f331(f333(x91331),f917(x91332,x91333,x91331,x91334)),x91333))
% 204.32/204.33 [9138]P59(x91382,x91383,x91384,x91381)+E(x91381,f192(f935(x91382,a923)))+~P107(f331(f61(x91382),x91384))+~P107(f331(f61(x91382),x91381))+P107(f331(f331(f333(x91382),f806(x91383,x91381,x91384,x91382)),x91384))
% 204.32/204.33 [9139]P59(x91392,x91393,x91394,x91391)+E(x91391,f192(f935(x91392,a923)))+~P107(f331(f61(x91392),x91394))+~P107(f331(f61(x91392),x91391))+P107(f331(f331(f333(x91392),f544(x91391,x91394,x91393,x91392)),x91394))
% 204.32/204.33 [9140]P59(x91402,x91403,x91404,x91401)+E(x91401,f192(f935(x91402,a923)))+~P107(f331(f61(x91402),x91404))+~P107(f331(f61(x91402),x91401))+P107(f331(f331(f333(x91402),f807(x91401,x91404,x91403,x91402)),x91404))
% 204.32/204.33 [9216]E(x92161,x92162)+~E(f331(f331(f80(a1),x92162),x92164),x92161)+~P107(f331(f331(f240(a1),f2(a1)),x92164))+~P107(f331(f331(f333(a1),x92161),x92163))+P107(f331(f331(f333(a1),f403(x92163,x92161,x92164,x92162)),f307(a1,f78(a1),x92164)))
% 204.32/204.33 [9217]E(x92171,x92172)+~E(f331(f331(f23(a1),x92172),x92174),x92171)+~P107(f331(f331(f240(a1),f2(a1)),x92174))+~P107(f331(f331(f333(a1),x92171),x92173))+P107(f331(f331(f333(a1),f416(x92173,x92171,x92174,x92172)),f307(a1,f78(a1),x92174)))
% 204.32/204.33 [9292]P107(f331(f331(f239(a927),x92921),f607(x92922,x92923,x92924,x92921)))+~P107(f331(f331(f239(a1),x92922),f331(x92923,x92924)))+P107(f331(f331(f239(a927),x92921),f608(x92922,x92923,x92924,x92921)))+~P107(f331(f331(f240(a927),x92921),x92924))+~P107(f331(f331(f239(a1),f331(x92923,x92921)),x92922))
% 204.32/204.33 [9408]E(f331(x94081,f607(x94082,x94081,x94083,x94084)),x94082)+~P107(f331(f331(f239(a1),x94082),f331(x94081,x94083)))+P107(f331(f331(f240(a927),f608(x94082,x94081,x94083,x94084)),x94083))+~P107(f331(f331(f240(a927),x94084),x94083))+~P107(f331(f331(f239(a1),f331(x94081,x94084)),x94082))
% 204.32/204.33 [9522]~P107(f331(f331(f291(a927),x95224),x95221))+~P107(f331(f331(f291(a927),x95224),x95223))+~P107(f331(f331(f291(a927),x95222),x95221))+P107(f331(f331(f291(a927),x95221),x95222))+P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x95223,x95222)),f300(a927,f291(a927),x95224,x95221)))
% 204.32/204.33 [9523]~P107(f331(f331(f291(a927),x95232),x95231))+~P107(f331(f331(f291(a927),x95233),x95234))+~P107(f331(f331(f291(a927),x95232),x95234))+P107(f331(f331(f291(a927),x95231),x95232))+P107(f331(f331(f240(f935(a927,a923)),f300(a927,f291(a927),x95231,x95233)),f300(a927,f291(a927),x95232,x95234)))
% 204.32/204.33 [9540]~P107(f331(f331(f239(a1),x95402),f331(x95403,x95404)))+P107(f331(f331(f239(a927),x95401),f608(x95402,x95403,x95404,x95401)))+P107(f331(f331(f239(a927),f607(x95402,x95403,x95404,x95401)),x95404))+~P107(f331(f331(f240(a927),x95401),x95404))+~P107(f331(f331(f239(a1),f331(x95403,x95401)),x95402))
% 204.32/204.33 [9541]~P107(f331(f331(f239(a1),x95412),f331(x95413,x95414)))+P107(f331(f331(f239(a927),x95411),f607(x95412,x95413,x95414,x95411)))+P107(f331(f331(f240(a927),f608(x95412,x95413,x95414,x95411)),x95414))+~P107(f331(f331(f240(a927),x95411),x95414))+~P107(f331(f331(f239(a1),f331(x95413,x95411)),x95412))
% 204.32/204.33 [9651]~P107(f331(f331(f239(a1),x96511),f331(x96512,x96513)))+P107(f331(f331(f240(a927),f608(x96511,x96512,x96513,x96514)),x96513))+~P107(f331(f331(f240(a927),x96514),x96513))+~P107(f331(f331(f239(a1),f331(x96512,x96514)),x96511))+P107(f331(f331(f239(a927),f607(x96511,x96512,x96513,x96514)),x96513))
% 204.32/204.33 [9743]E(x97431,f192(f935(x97432,a923)))+~P107(f331(f61(x97432),x97434))+~P107(f331(f61(x97432),x97431))+P107(f331(f331(f333(f934(f935(x97432,a923),f935(x97432,a923))),f331(f331(f256(f935(x97432,a923),f935(x97432,a923)),x97434),x97431)),f322(x97432,x97433)))+P107(f331(f331(f333(x97432),f546(x97433,x97431,x97434,x97432)),x97434))
% 204.32/204.33 [9744]E(x97441,f192(f935(x97442,a923)))+~P107(f331(f61(x97442),x97444))+~P107(f331(f61(x97442),x97441))+P107(f331(f331(f333(f934(f935(x97442,a923),f935(x97442,a923))),f331(f331(f256(f935(x97442,a923),f935(x97442,a923)),x97444),x97441)),f322(x97442,x97443)))+P107(f331(f331(f333(x97442),f609(x97443,x97441,x97444,x97442)),x97444))
% 204.32/204.33 [10412]E(f331(x104121,f607(x104122,x104121,x104123,x104124)),x104122)+~P107(f331(f331(f239(a1),x104122),f331(x104121,x104123)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x104121,f331(f331(f80(a927),f608(x104122,x104121,x104123,x104124)),f78(a927)))),f331(x104121,f608(x104122,x104121,x104123,x104124))))),f78(a1)))+~P107(f331(f331(f240(a927),x104124),x104123))+~P107(f331(f331(f239(a1),f331(x104121,x104124)),x104122))
% 204.32/204.33 [10413]~P107(f331(f331(f239(a1),x104132),f331(x104133,x104134)))+P107(f331(f331(f239(a927),x104131),f607(x104132,x104133,x104134,x104131)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x104133,f331(f331(f80(a927),f608(x104132,x104133,x104134,x104131)),f78(a927)))),f331(x104133,f608(x104132,x104133,x104134,x104131))))),f78(a1)))+~P107(f331(f331(f240(a927),x104131),x104134))+~P107(f331(f331(f239(a1),f331(x104133,x104131)),x104132))
% 204.32/204.33 [10414]~P107(f331(f331(f239(a1),x104141),f331(x104142,x104143)))+~P107(f331(f331(f239(a1),f331(f76(a1),f331(f331(f23(a1),f331(x104142,f331(f331(f80(a927),f608(x104141,x104142,x104143,x104144)),f78(a927)))),f331(x104142,f608(x104141,x104142,x104143,x104144))))),f78(a1)))+~P107(f331(f331(f240(a927),x104144),x104143))+~P107(f331(f331(f239(a1),f331(x104142,x104144)),x104141))+P107(f331(f331(f239(a927),f607(x104141,x104142,x104143,x104144)),x104143))
% 204.32/204.33 [7461]~P66(x74611)+P107(f331(f331(f240(x74611),x74612),f2(x74611)))+~P107(f331(f331(f239(x74611),x74613),f2(x74611)))+P107(f331(f331(f240(x74611),f2(x74611)),x74612))+P107(f331(f331(f239(x74611),x74613),f331(f331(f294(x74611),x74614),x74612)))
% 204.32/204.33 [7462]~P66(x74621)+P107(f331(f331(f240(x74621),x74622),f2(x74621)))+~P107(f331(f331(f240(x74621),x74623),f2(x74621)))+P107(f331(f331(f240(x74621),f2(x74621)),x74622))+P107(f331(f331(f240(x74621),x74623),f331(f331(f294(x74621),x74624),x74622)))
% 204.32/204.33 [7710]~P66(x77101)+P107(f331(f331(f239(x77101),x77102),f2(x77101)))+P107(f331(f331(f240(x77101),x77103),f2(x77101)))+P107(f331(f331(f240(x77101),f2(x77101)),x77103))+~P107(f331(f331(f239(x77101),x77102),f331(f331(f294(x77101),x77104),x77103)))
% 204.32/204.33 [7711]~P66(x77111)+P107(f331(f331(f240(x77111),x77112),f2(x77111)))+P107(f331(f331(f240(x77111),x77113),f2(x77111)))+P107(f331(f331(f240(x77111),f2(x77111)),x77113))+~P107(f331(f331(f240(x77111),x77112),f331(f331(f294(x77111),x77114),x77113)))
% 204.32/204.33 [7826]E(x78261,x78262)+~E(f331(f331(f168(x78263),x78264),x78261),f331(f331(f168(x78263),x78264),x78262))+~P107(f331(f141(x78263),x78264))+~P107(f331(f331(f240(a927),x78262),f331(f193(f928(x78263)),x78264)))+~P107(f331(f331(f240(a927),x78261),f331(f193(f928(x78263)),x78264)))
% 204.32/204.33 [8191]~P66(x81911)+~P107(f331(f331(f239(x81911),x81913),f2(x81911)))+P107(f331(f331(f240(x81911),f2(x81911)),x81912))+~P107(f331(f331(f239(x81911),x81914),f331(f331(f81(x81911),x81913),x81912)))+P107(f331(f331(f239(x81911),x81913),f331(f331(f294(x81911),x81914),x81912)))
% 204.32/204.33 [8192]~P66(x81921)+~P107(f331(f331(f240(x81921),x81923),f2(x81921)))+P107(f331(f331(f240(x81921),f2(x81921)),x81922))+~P107(f331(f331(f240(x81921),x81924),f331(f331(f81(x81921),x81923),x81922)))+P107(f331(f331(f240(x81921),x81923),f331(f331(f294(x81921),x81924),x81922)))
% 204.32/204.33 [8193]~P66(x81931)+~P107(f331(f331(f240(x81931),x81932),f2(x81931)))+P107(f331(f331(f240(x81931),f2(x81931)),x81932))+~P107(f331(f331(f239(x81931),x81934),f331(f331(f81(x81931),x81933),x81932)))+P107(f331(f331(f239(x81931),x81933),f331(f331(f294(x81931),x81934),x81932)))
% 204.32/204.33 [8194]~P66(x81941)+~P107(f331(f331(f240(x81941),x81942),f2(x81941)))+P107(f331(f331(f240(x81941),f2(x81941)),x81942))+~P107(f331(f331(f239(x81941),x81944),f331(f331(f294(x81941),x81943),x81942)))+P107(f331(f331(f239(x81941),x81943),f331(f331(f81(x81941),x81944),x81942)))
% 204.32/204.33 [8195]~P66(x81951)+~P107(f331(f331(f240(x81951),x81952),f2(x81951)))+P107(f331(f331(f240(x81951),f2(x81951)),x81952))+~P107(f331(f331(f240(x81951),x81954),f331(f331(f81(x81951),x81953),x81952)))+P107(f331(f331(f240(x81951),x81953),f331(f331(f294(x81951),x81954),x81952)))
% 204.32/204.33 [8196]~P66(x81961)+~P107(f331(f331(f240(x81961),x81962),f2(x81961)))+P107(f331(f331(f240(x81961),f2(x81961)),x81962))+~P107(f331(f331(f240(x81961),x81964),f331(f331(f294(x81961),x81963),x81962)))+P107(f331(f331(f240(x81961),x81963),f331(f331(f81(x81961),x81964),x81962)))
% 204.32/204.33 [8341]~P109(x83411)+~P12(x83411,x83412)+~P107(f331(f331(f239(a927),x83413),x83414))+P107(f331(f331(f239(x83411),f331(f331(f168(x83411),x83412),x83413)),f331(f331(f168(x83411),x83412),x83414)))+~P107(f331(f331(f240(a927),x83414),f331(f193(f928(x83411)),x83412)))
% 204.32/204.33 [8391]~P127(x83911)+~P107(f331(f331(f239(x83911),x83912),f78(x83911)))+~P107(f331(f331(f239(x83911),f2(x83911)),x83912))+~P107(f331(f331(f239(a927),x83914),x83913))+P107(f331(f331(f239(x83911),f331(f331(f248(x83911),x83912),x83913)),f331(f331(f248(x83911),x83912),x83914)))
% 204.32/204.33 [8392]~P127(x83921)+~P107(f331(f331(f240(x83921),x83922),f78(x83921)))+~P107(f331(f331(f240(x83921),f2(x83921)),x83922))+~P107(f331(f331(f240(a927),x83924),x83923))+P107(f331(f331(f240(x83921),f331(f331(f248(x83921),x83922),x83923)),f331(f331(f248(x83921),x83922),x83924)))
% 204.32/204.33 [8393]~P127(x83931)+~P107(f331(f331(f239(x83931),f2(x83931)),x83932))+~P107(f331(f331(f240(a927),f2(a927)),x83933))+~P107(f331(f331(f240(x83931),x83932),x83934))+P107(f331(f331(f240(x83931),f331(f331(f248(x83931),x83932),x83933)),f331(f331(f248(x83931),x83934),x83933)))
% 204.32/204.33 [8412]~P109(x84121)+~P12(x84121,f331(f172(x84121),x84122))+~P107(f331(f331(f239(a927),x84124),x84123))+P107(f331(f331(f239(x84121),f331(f331(f168(x84121),x84122),x84123)),f331(f331(f168(x84121),x84122),x84124)))+~P107(f331(f331(f240(a927),x84123),f331(f193(f928(x84121)),x84122)))
% 204.32/204.33 [8658]~P66(x86581)+~P107(f331(f331(f239(x86581),x86582),f2(x86581)))+~P107(f331(f331(f239(x86581),x86583),x86584))+~P107(f331(f331(f240(x86581),f2(x86581)),f331(f331(f81(x86581),x86583),x86584)))+P107(f331(f331(f239(x86581),f331(f331(f294(x86581),x86582),x86583)),f331(f331(f294(x86581),x86582),x86584)))
% 204.32/204.33 [8659]~P67(x86591)+~P107(f331(f331(f240(x86591),x86592),f2(x86591)))+~P107(f331(f331(f240(x86591),x86593),x86594))+~P107(f331(f331(f240(x86591),f2(x86591)),f331(f331(f81(x86591),x86593),x86594)))+P107(f331(f331(f240(x86591),f331(f331(f294(x86591),x86592),x86593)),f331(f331(f294(x86591),x86592),x86594)))
% 204.32/204.33 [8668]~P67(x86681)+~P107(f331(f331(f239(x86681),x86684),x86683))+~P107(f331(f331(f239(x86681),f2(x86681)),x86682))+~P107(f331(f331(f240(x86681),f2(x86681)),f331(f331(f81(x86681),x86683),x86684)))+P107(f331(f331(f239(x86681),f331(f331(f294(x86681),x86682),x86683)),f331(f331(f294(x86681),x86682),x86684)))
% 204.32/204.33 [8669]~P67(x86691)+~P107(f331(f331(f240(x86691),x86694),x86693))+~P107(f331(f331(f240(x86691),f2(x86691)),x86692))+~P107(f331(f331(f240(x86691),f2(x86691)),f331(f331(f81(x86691),x86693),x86694)))+P107(f331(f331(f240(x86691),f331(f331(f294(x86691),x86692),x86693)),f331(f331(f294(x86691),x86692),x86694)))
% 204.32/204.33 [8779]P107(f331(x87791,x87792))+~P107(f331(f61(x87794),x87792))+P107(f331(x87791,f580(x87791,x87793,x87792,x87794)))+~P107(f331(x87791,f192(f935(x87794,a923))))+~P107(f331(f331(f239(f935(x87794,a923)),x87792),x87793))
% 204.32/204.33 [8788]P107(f331(x87881,x87882))+P107(f331(f61(x87883),f580(x87881,x87884,x87882,x87883)))+~P107(f331(f61(x87883),x87882))+~P107(f331(x87881,f192(f935(x87883,a923))))+~P107(f331(f331(f239(f935(x87883,a923)),x87882),x87884))
% 204.32/204.33 [9056]E(f331(f331(f80(a1),f417(x90561,x90562,x90563,x90564)),f418(x90561,x90562,x90563,x90564)),x90564)+~P107(f331(f331(f240(a1),f2(a1)),x90563))+~P107(f331(f331(f240(a1),x90562),x90564))+~P107(f331(f331(f333(a1),x90562),x90561))+P107(f331(f331(f240(a1),x90562),f331(f331(f23(a1),x90564),x90563)))
% 204.32/204.33 [9273]~P107(f331(f331(f240(a1),f2(a1)),x92733))+~P107(f331(f331(f240(a1),x92732),x92734))+~P107(f331(f331(f333(a1),x92732),x92731))+P107(f331(f331(f333(a1),f417(x92731,x92732,x92733,x92734)),x92731))+P107(f331(f331(f240(a1),x92732),f331(f331(f23(a1),x92734),x92733)))
% 204.32/204.33 [9285]P107(f331(x92851,x92852))+~P107(f331(f61(x92853),x92852))+P107(f331(f331(f333(x92853),f564(x92851,x92854,x92852,x92853)),x92854))+~P107(f331(x92851,f192(f935(x92853,a923))))+~P107(f331(f331(f239(f935(x92853,a923)),x92852),x92854))
% 204.32/204.33 [9302]E(f331(f331(f80(a1),f408(x93021,x93022,x93023,x93024)),f409(x93021,x93022,x93023,x93024)),x93024)+~P107(f331(f331(f240(a1),f2(a1)),x93023))+~P107(f331(f331(f239(a1),x93022),x93024))+P107(f331(f331(f239(a1),x93022),f331(f331(f23(a1),x93024),x93023)))+~P107(f331(f331(f333(a1),f331(f331(f23(a1),x93022),f78(a1))),x93021))
% 204.32/204.33 [9356]~P107(f331(f331(f240(a1),f2(a1)),x93563))+~P107(f331(f331(f240(a1),x93561),x93562))+~P107(f331(f331(f333(a1),x93561),x93564))+P107(f331(f331(f333(a1),f418(x93564,x93561,x93563,x93562)),f307(a1,f78(a1),x93563)))+P107(f331(f331(f240(a1),x93561),f331(f331(f23(a1),x93562),x93563)))
% 204.32/204.33 [9382]~P72(x93822)+~E(f790(x93823,x93824,x93821,x93822),f791(x93823,x93824,x93821,x93822))+~P107(f331(f61(x93821),f792(x93823,x93824,x93821,x93822)))+E(f331(f331(f6(f935(x93821,a923),x93822),f331(f6(x93821,x93822),x93823)),x93824),f331(f331(f6(x93821,x93822),x93823),f37(f935(x93821,a923),x93824)))+~P107(f331(f61(f935(x93821,a923)),x93824))
% 204.32/204.33 [9386]~P72(x93862)+~E(f331(x93863,f793(x93863,x93864,x93861,x93862)),f2(x93862))+~P107(f331(f61(x93861),f792(x93863,x93864,x93861,x93862)))+E(f331(f331(f6(f935(x93861,a923),x93862),f331(f6(x93861,x93862),x93863)),x93864),f331(f331(f6(x93861,x93862),x93863),f37(f935(x93861,a923),x93864)))+~P107(f331(f61(f935(x93861,a923)),x93864))
% 204.32/204.33 [9452]~P107(f331(f331(f240(a1),f2(a1)),x94523))+~P107(f331(f331(f239(a1),x94522),x94524))+P107(f331(f331(f333(a1),f408(x94521,x94522,x94523,x94524)),x94521))+P107(f331(f331(f239(a1),x94522),f331(f331(f23(a1),x94524),x94523)))+~P107(f331(f331(f333(a1),f331(f331(f23(a1),x94522),f78(a1))),x94521))
% 204.32/204.33 [9496]~P107(f331(f331(f240(a1),f2(a1)),x94963))+~P107(f331(f331(f239(a1),x94961),x94962))+P107(f331(f331(f333(a1),f409(x94964,x94961,x94963,x94962)),f307(a1,f78(a1),x94963)))+P107(f331(f331(f239(a1),x94961),f331(f331(f23(a1),x94962),x94963)))+~P107(f331(f331(f333(a1),f331(f331(f23(a1),x94961),f78(a1))),x94964))
% 204.32/204.33 [9517]~P72(x95172)+~E(f790(x95173,x95174,x95171,x95172),f791(x95173,x95174,x95171,x95172))+E(f331(f331(f6(f935(x95171,a923),x95172),f331(f6(x95171,x95172),x95173)),x95174),f331(f331(f6(x95171,x95172),x95173),f37(f935(x95171,a923),x95174)))+P107(f331(f331(f333(f935(x95171,a923)),f792(x95173,x95174,x95171,x95172)),x95174))+~P107(f331(f61(f935(x95171,a923)),x95174))
% 204.32/204.33 [9525]~P72(x95252)+~E(f331(x95253,f793(x95253,x95254,x95251,x95252)),f2(x95252))+E(f331(f331(f6(f935(x95251,a923),x95252),f331(f6(x95251,x95252),x95253)),x95254),f331(f331(f6(x95251,x95252),x95253),f37(f935(x95251,a923),x95254)))+P107(f331(f331(f333(f935(x95251,a923)),f792(x95253,x95254,x95251,x95252)),x95254))+~P107(f331(f61(f935(x95251,a923)),x95254))
% 204.32/204.33 [9628]~P72(x96282)+~P107(f331(f61(x96281),f792(x96283,x96284,x96281,x96282)))+E(f331(f331(f6(f935(x96281,a923),x96282),f331(f6(x96281,x96282),x96283)),x96284),f331(f331(f6(x96281,x96282),x96283),f37(f935(x96281,a923),x96284)))+P107(f331(f331(f333(f935(x96281,a923)),f791(x96283,x96284,x96281,x96282)),x96284))+~P107(f331(f61(f935(x96281,a923)),x96284))
% 204.32/204.33 [9629]~P72(x96292)+~P107(f331(f61(x96291),f792(x96293,x96294,x96291,x96292)))+E(f331(f331(f6(f935(x96291,a923),x96292),f331(f6(x96291,x96292),x96293)),x96294),f331(f331(f6(x96291,x96292),x96293),f37(f935(x96291,a923),x96294)))+P107(f331(f331(f333(f935(x96291,a923)),f790(x96293,x96294,x96291,x96292)),x96294))+~P107(f331(f61(f935(x96291,a923)),x96294))
% 204.32/204.33 [9707]~P72(x97072)+E(f331(f331(f6(f935(x97071,a923),x97072),f331(f6(x97071,x97072),x97073)),x97074),f331(f331(f6(x97071,x97072),x97073),f37(f935(x97071,a923),x97074)))+P107(f331(f331(f333(f935(x97071,a923)),f792(x97073,x97074,x97071,x97072)),x97074))+P107(f331(f331(f333(f935(x97071,a923)),f791(x97073,x97074,x97071,x97072)),x97074))+~P107(f331(f61(f935(x97071,a923)),x97074))
% 204.32/204.33 [9708]~P72(x97082)+E(f331(f331(f6(f935(x97081,a923),x97082),f331(f6(x97081,x97082),x97083)),x97084),f331(f331(f6(x97081,x97082),x97083),f37(f935(x97081,a923),x97084)))+P107(f331(f331(f333(f935(x97081,a923)),f792(x97083,x97084,x97081,x97082)),x97084))+P107(f331(f331(f333(f935(x97081,a923)),f790(x97083,x97084,x97081,x97082)),x97084))+~P107(f331(f61(f935(x97081,a923)),x97084))
% 204.32/204.33 [9729]~P72(x97292)+P107(f331(f331(f333(x97291),f793(x97293,x97294,x97291,x97292)),f791(x97293,x97294,x97291,x97292)))+~P107(f331(f61(x97291),f792(x97293,x97294,x97291,x97292)))+E(f331(f331(f6(f935(x97291,a923),x97292),f331(f6(x97291,x97292),x97293)),x97294),f331(f331(f6(x97291,x97292),x97293),f37(f935(x97291,a923),x97294)))+~P107(f331(f61(f935(x97291,a923)),x97294))
% 204.32/204.33 [9730]~P72(x97302)+P107(f331(f331(f333(x97301),f793(x97303,x97304,x97301,x97302)),f790(x97303,x97304,x97301,x97302)))+~P107(f331(f61(x97301),f792(x97303,x97304,x97301,x97302)))+E(f331(f331(f6(f935(x97301,a923),x97302),f331(f6(x97301,x97302),x97303)),x97304),f331(f331(f6(x97301,x97302),x97303),f37(f935(x97301,a923),x97304)))+~P107(f331(f61(f935(x97301,a923)),x97304))
% 204.32/204.33 [9747]P107(f331(x97471,x97472))+~P107(f331(f331(f333(x97473),f564(x97471,x97474,x97472,x97473)),f580(x97471,x97474,x97472,x97473)))+~P107(f331(f61(x97473),x97472))+~P107(f331(x97471,f192(f935(x97473,a923))))+~P107(f331(f331(f239(f935(x97473,a923)),x97472),x97474))
% 204.32/204.33 [9785]~P72(x97852)+P107(f331(f331(f333(x97851),f793(x97853,x97854,x97851,x97852)),f791(x97853,x97854,x97851,x97852)))+E(f331(f331(f6(f935(x97851,a923),x97852),f331(f6(x97851,x97852),x97853)),x97854),f331(f331(f6(x97851,x97852),x97853),f37(f935(x97851,a923),x97854)))+P107(f331(f331(f333(f935(x97851,a923)),f792(x97853,x97854,x97851,x97852)),x97854))+~P107(f331(f61(f935(x97851,a923)),x97854))
% 204.32/204.33 [9786]~P72(x97862)+P107(f331(f331(f333(x97861),f793(x97863,x97864,x97861,x97862)),f790(x97863,x97864,x97861,x97862)))+E(f331(f331(f6(f935(x97861,a923),x97862),f331(f6(x97861,x97862),x97863)),x97864),f331(f331(f6(x97861,x97862),x97863),f37(f935(x97861,a923),x97864)))+P107(f331(f331(f333(f935(x97861,a923)),f792(x97863,x97864,x97861,x97862)),x97864))+~P107(f331(f61(f935(x97861,a923)),x97864))
% 204.32/204.33 [9961]P107(f331(x99611,x99612))+~P107(f331(f61(x99613),x99612))+~P107(f331(x99611,f331(f331(f313(x99613),f564(x99611,x99614,x99612,x99613)),f580(x99611,x99614,x99612,x99613))))+~P107(f331(x99611,f192(f935(x99613,a923))))+~P107(f331(f331(f239(f935(x99613,a923)),x99612),x99614))
% 204.32/204.33 [7961]~P66(x79611)+P107(f331(f331(f240(x79611),x79612),f2(x79611)))+~P107(f331(f331(f239(x79611),f2(x79611)),x79614))+P107(f331(f331(f240(x79611),f2(x79611)),x79612))+P107(f331(f331(f239(x79611),f331(f331(f294(x79611),x79613),x79612)),x79614))
% 204.32/204.33 [7962]~P66(x79621)+P107(f331(f331(f240(x79621),x79622),f2(x79621)))+P107(f331(f331(f240(x79621),f2(x79621)),x79622))+~P107(f331(f331(f240(x79621),f2(x79621)),x79624))+P107(f331(f331(f240(x79621),f331(f331(f294(x79621),x79623),x79622)),x79624))
% 204.32/204.33 [8245]~P107(f331(f331(f239(a1),x82454),f2(a1)))+~E(x82452,f331(f331(f80(a1),f331(f331(f81(a1),x82451),x82453)),x82454))+P107(f331(f331(f240(a1),f2(a1)),x82451))+~P107(f331(f331(f240(a1),x82451),x82454))+P107(f331(f49(x82452,x82451),f331(f331(f256(a1,a1),x82453),x82454)))
% 204.32/204.33 [8282]~P107(f331(x82821,x82824))+P107(f331(x82821,f386(x82822,x82821,x82823)))+~P107(f331(f331(f239(a1),f2(a1)),x82822))+~P107(f331(f331(f240(a1),f2(a1)),x82823))+P107(f331(x82821,f331(f331(f23(a1),x82824),f331(f331(f81(a1),x82822),x82823))))
% 204.32/204.33 [8283]~P107(f331(x82831,x82834))+P107(f331(x82831,f390(x82832,x82831,x82833)))+~P107(f331(f331(f239(a1),f2(a1)),x82832))+~P107(f331(f331(f240(a1),f2(a1)),x82833))+P107(f331(x82831,f331(f331(f80(a1),x82834),f331(f331(f81(a1),x82832),x82833))))
% 204.32/204.33 [8284]~P66(x82841)+P107(f331(f331(f240(x82841),x82842),f2(x82841)))+P107(f331(f331(f240(x82841),f2(x82841)),x82842))+P107(f331(f331(f239(x82841),f2(x82841)),x82843))+~P107(f331(f331(f239(x82841),f331(f331(f294(x82841),x82844),x82842)),x82843))
% 204.32/204.33 [8285]~P66(x82851)+P107(f331(f331(f240(x82851),x82852),f2(x82851)))+P107(f331(f331(f240(x82851),f2(x82851)),x82852))+P107(f331(f331(f240(x82851),f2(x82851)),x82853))+~P107(f331(f331(f240(x82851),f331(f331(f294(x82851),x82854),x82852)),x82853))
% 204.32/204.33 [8336]~E(x83361,f331(f331(f80(a1),f331(f331(f81(a1),x83362),x83363)),x83364))+~P107(f331(f331(f239(a1),f2(a1)),x83364))+~P107(f331(f331(f240(a1),f2(a1)),x83362))+~P107(f331(f331(f240(a1),x83364),x83362))+P107(f331(f49(x83361,x83362),f331(f331(f256(a1,a1),x83363),x83364)))
% 204.32/204.33 [8451]~P66(x84511)+P107(f331(f331(f240(x84511),x84512),f2(x84511)))+~P107(f331(f331(f239(x84511),f2(x84511)),x84514))+~P107(f331(f331(f239(x84511),x84513),f331(f331(f81(x84511),x84514),x84512)))+P107(f331(f331(f239(x84511),f331(f331(f294(x84511),x84513),x84512)),x84514))
% 204.32/204.33 [8452]~P66(x84521)+P107(f331(f331(f240(x84521),x84522),f2(x84521)))+~P107(f331(f331(f240(x84521),f2(x84521)),x84524))+~P107(f331(f331(f240(x84521),x84523),f331(f331(f81(x84521),x84524),x84522)))+P107(f331(f331(f240(x84521),f331(f331(f294(x84521),x84523),x84522)),x84524))
% 204.32/204.33 [8536]~P66(x85361)+P107(f331(f331(f240(x85361),x85362),f2(x85361)))+~P107(f331(f331(f239(x85361),x85363),f2(x85361)))+P107(f331(f331(f239(x85361),x85363),f331(f331(f294(x85361),x85364),x85362)))+~P107(f331(f331(f239(x85361),f331(f331(f81(x85361),x85363),x85362)),x85364))
% 204.32/204.33 [8537]~P66(x85371)+P107(f331(f331(f240(x85371),x85372),f2(x85371)))+~P107(f331(f331(f240(x85371),x85373),f2(x85371)))+P107(f331(f331(f240(x85371),x85373),f331(f331(f294(x85371),x85374),x85372)))+~P107(f331(f331(f240(x85371),f331(f331(f81(x85371),x85373),x85372)),x85374))
% 204.32/204.33 [8694]~P66(x86941)+~P107(f331(f331(f240(x86941),x86942),f2(x86941)))+P107(f331(f331(f240(x86941),f2(x86941)),x86942))+~P107(f331(f331(f239(x86941),f331(f331(f294(x86941),x86944),x86942)),x86943))+P107(f331(f331(f239(x86941),f331(f331(f81(x86941),x86943),x86942)),x86944))
% 204.32/204.33 [8695]~P66(x86951)+~P107(f331(f331(f240(x86951),x86952),f2(x86951)))+P107(f331(f331(f240(x86951),f2(x86951)),x86952))+~P107(f331(f331(f239(x86951),f331(f331(f81(x86951),x86954),x86952)),x86953))+P107(f331(f331(f239(x86951),f331(f331(f294(x86951),x86953),x86952)),x86954))
% 204.32/204.33 [8696]~P66(x86961)+~P107(f331(f331(f240(x86961),x86962),f2(x86961)))+P107(f331(f331(f240(x86961),f2(x86961)),x86962))+~P107(f331(f331(f240(x86961),f331(f331(f294(x86961),x86964),x86962)),x86963))+P107(f331(f331(f240(x86961),f331(f331(f81(x86961),x86963),x86962)),x86964))
% 204.32/204.33 [8697]~P66(x86971)+~P107(f331(f331(f240(x86971),x86972),f2(x86971)))+P107(f331(f331(f240(x86971),f2(x86971)),x86972))+~P107(f331(f331(f240(x86971),f331(f331(f81(x86971),x86974),x86972)),x86973))+P107(f331(f331(f240(x86971),f331(f331(f294(x86971),x86973),x86972)),x86974))
% 204.32/204.33 [8716]~P66(x87161)+~P107(f331(f331(f239(x87161),f2(x87161)),x87164))+P107(f331(f331(f240(x87161),f2(x87161)),x87162))+~P107(f331(f331(f239(x87161),f331(f331(f81(x87161),x87164),x87162)),x87163))+P107(f331(f331(f239(x87161),f331(f331(f294(x87161),x87163),x87162)),x87164))
% 204.32/204.33 [8717]~P66(x87171)+~P107(f331(f331(f240(x87171),f2(x87171)),x87174))+P107(f331(f331(f240(x87171),f2(x87171)),x87172))+~P107(f331(f331(f240(x87171),f331(f331(f81(x87171),x87174),x87172)),x87173))+P107(f331(f331(f240(x87171),f331(f331(f294(x87171),x87173),x87172)),x87174))
% 204.32/204.33 [8796]~P66(x87961)+~P107(f331(f331(f240(x87961),x87964),f2(x87961)))+~P107(f331(f331(f239(x87961),x87963),f331(f331(f81(x87961),x87962),x87964)))+P107(f331(f331(f239(x87961),x87962),f331(f331(f294(x87961),x87963),x87964)))+~P107(f331(f331(f239(x87961),f331(f331(f81(x87961),x87962),x87964)),x87963))
% 204.32/204.33 [8797]~P66(x87971)+~P107(f331(f331(f239(x87971),x87972),f2(x87971)))+~P107(f331(f331(f239(x87971),x87973),f331(f331(f81(x87971),x87972),x87974)))+P107(f331(f331(f239(x87971),x87972),f331(f331(f294(x87971),x87973),x87974)))+~P107(f331(f331(f239(x87971),f331(f331(f81(x87971),x87972),x87974)),x87973))
% 204.32/204.33 [8798]~P66(x87981)+~P107(f331(f331(f240(x87981),x87984),f2(x87981)))+~P107(f331(f331(f240(x87981),x87983),f331(f331(f81(x87981),x87982),x87984)))+P107(f331(f331(f240(x87981),x87982),f331(f331(f294(x87981),x87983),x87984)))+~P107(f331(f331(f240(x87981),f331(f331(f81(x87981),x87982),x87984)),x87983))
% 204.32/204.33 [8799]~P66(x87991)+~P107(f331(f331(f240(x87991),x87992),f2(x87991)))+~P107(f331(f331(f240(x87991),x87993),f331(f331(f81(x87991),x87992),x87994)))+P107(f331(f331(f240(x87991),x87992),f331(f331(f294(x87991),x87993),x87994)))+~P107(f331(f331(f240(x87991),f331(f331(f81(x87991),x87992),x87994)),x87993))
% 204.32/204.33 [8921]~P66(x89211)+~P107(f331(f331(f240(x89211),x89213),f2(x89211)))+~P107(f331(f331(f239(x89211),x89212),f331(f331(f81(x89211),x89214),x89213)))+~P107(f331(f331(f239(x89211),f331(f331(f81(x89211),x89214),x89213)),x89212))+P107(f331(f331(f239(x89211),f331(f331(f294(x89211),x89212),x89213)),x89214))
% 204.32/204.33 [8922]~P66(x89221)+~P107(f331(f331(f240(x89221),x89223),f2(x89221)))+~P107(f331(f331(f240(x89221),x89222),f331(f331(f81(x89221),x89224),x89223)))+~P107(f331(f331(f240(x89221),f331(f331(f81(x89221),x89224),x89223)),x89222))+P107(f331(f331(f240(x89221),f331(f331(f294(x89221),x89222),x89223)),x89224))
% 204.32/204.33 [8939]~P66(x89391)+~P107(f331(f331(f239(x89391),f2(x89391)),x89394))+~P107(f331(f331(f239(x89391),x89392),f331(f331(f81(x89391),x89394),x89393)))+~P107(f331(f331(f239(x89391),f331(f331(f81(x89391),x89394),x89393)),x89392))+P107(f331(f331(f239(x89391),f331(f331(f294(x89391),x89392),x89393)),x89394))
% 204.32/204.33 [8940]~P66(x89401)+~P107(f331(f331(f240(x89401),f2(x89401)),x89404))+~P107(f331(f331(f240(x89401),x89402),f331(f331(f81(x89401),x89404),x89403)))+~P107(f331(f331(f240(x89401),f331(f331(f81(x89401),x89404),x89403)),x89402))+P107(f331(f331(f240(x89401),f331(f331(f294(x89401),x89402),x89403)),x89404))
% 204.32/204.33 [9123]E(f331(f331(f23(a1),f424(x91231,x91232,x91233,x91234)),f419(x91231,x91232,x91233,x91234)),x91234)+~P107(f331(f331(f240(a1),f2(a1)),x91233))+~P107(f331(f331(f333(a1),x91232),x91231))+~P107(f331(f331(f240(a1),x91234),x91232))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x91234),x91233)),x91232))
% 204.32/204.33 [9196]~P107(f331(x91961,x91962))+~P107(f331(f331(f239(a1),f2(a1)),x91963))+~P107(f331(f331(f240(a1),f2(a1)),x91964))+~P107(f331(x91961,f331(f331(f23(a1),f386(x91963,x91961,x91964)),x91964)))+P107(f331(x91961,f331(f331(f23(a1),x91962),f331(f331(f81(a1),x91963),x91964))))
% 204.32/204.33 [9197]~P107(f331(x91971,x91972))+~P107(f331(f331(f239(a1),f2(a1)),x91973))+~P107(f331(f331(f240(a1),f2(a1)),x91974))+~P107(f331(x91971,f331(f331(f80(a1),f390(x91973,x91971,x91974)),x91974)))+P107(f331(x91971,f331(f331(f80(a1),x91972),f331(f331(f81(a1),x91973),x91974))))
% 204.32/204.33 [9350]~P107(f331(f331(f240(a1),f2(a1)),x93503))+~P107(f331(f331(f333(a1),x93502),x93501))+~P107(f331(f331(f240(a1),x93504),x93502))+P107(f331(f331(f333(a1),f424(x93501,x93502,x93503,x93504)),x93501))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x93504),x93503)),x93502))
% 204.32/204.33 [9369]E(f331(f331(f23(a1),f410(x93691,x93692,x93693,x93694)),f411(x93691,x93692,x93693,x93694)),x93694)+~P107(f331(f331(f240(a1),f2(a1)),x93693))+~P107(f331(f331(f239(a1),x93694),x93692))+~P107(f331(f331(f333(a1),f331(f331(f80(a1),x93692),f78(a1))),x93691))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x93694),x93693)),x93692))
% 204.32/204.33 [9398]~P107(f331(f331(f240(a1),f2(a1)),x93982))+~P107(f331(f331(f333(a1),x93983),x93984))+~P107(f331(f331(f240(a1),x93981),x93983))+P107(f331(f331(f333(a1),f419(x93984,x93983,x93982,x93981)),f307(a1,f78(a1),x93982)))+P107(f331(f331(f240(a1),f331(f331(f80(a1),x93981),x93982)),x93983))
% 204.32/204.33 [9488]~P107(f331(f331(f240(a1),f2(a1)),x94883))+~P107(f331(f331(f239(a1),x94884),x94882))+P107(f331(f331(f333(a1),f410(x94881,x94882,x94883,x94884)),x94881))+~P107(f331(f331(f333(a1),f331(f331(f80(a1),x94882),f78(a1))),x94881))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x94884),x94883)),x94882))
% 204.32/204.33 [9536]~P107(f331(f331(f240(a1),f2(a1)),x95362))+~P107(f331(f331(f239(a1),x95361),x95363))+P107(f331(f331(f333(a1),f411(x95364,x95363,x95362,x95361)),f307(a1,f78(a1),x95362)))+~P107(f331(f331(f333(a1),f331(f331(f80(a1),x95363),f78(a1))),x95364))+P107(f331(f331(f239(a1),f331(f331(f80(a1),x95361),x95362)),x95363))
% 204.32/204.33 [9839]~P38(x98391,x98393)+~P26(x98391,x98394)+P38(x98391,f331(f331(f114(f935(f934(x98391,x98391),a923)),x98392),x98393))+~P107(f331(f331(f239(f935(f934(x98391,x98391),a923)),x98392),f331(f255(f935(f934(x98391,x98391),a923),f935(f934(x98391,x98391),a923)),x98394)))+~P107(f331(f331(f239(f935(f934(x98391,x98391),a923)),x98393),f331(f260(f935(f934(x98391,x98391),a923),f935(f934(x98391,x98391),a923)),x98394)))
% 204.32/204.33 [10218]~P17(x102182,x102184,x102183)+E(x102181,f192(f935(x102182,a923)))+~P107(f331(f61(x102182),x102181))+P107(f331(f331(f333(x102182),f331(x102183,x102181)),x102181))+~P107(f331(f331(f333(x102182),f331(f331(x102184,f524(x102181,x102183,x102184,x102182)),f537(x102181,x102183,x102184,x102182))),f331(f331(f313(x102182),f524(x102181,x102183,x102184,x102182)),f331(f331(f313(x102182),f537(x102181,x102183,x102184,x102182)),f192(f935(x102182,a923))))))
% 204.32/204.33 [10152]~P111(x101522)+~P63(x101521)+~P107(f331(f331(f239(f935(x101521,x101522)),x101523),x101524))+P107(f331(f331(f240(f935(x101521,x101522)),x101523),x101524))+~P107(f331(f56(x101521),f331(f331(f8(a923,a923,x101521),a326),f331(f331(f18(x101521,x101522,a923),f331(f331(f8(x101522,f935(x101522,a923),x101521),a328),x101523)),x101524))))
% 204.32/204.33 [9753]~P55(x97531,x97531,x97534)+P107(f331(f331(f333(f934(x97531,x97531)),f331(f331(f256(x97531,x97531),x97532),x97533)),f311(x97531,x97534)))+P107(f331(f331(f333(f934(x97531,x97531)),f331(f331(f256(x97531,x97531),x97533),x97532)),f311(x97531,x97534)))+~P107(f331(f331(f333(f934(x97531,x97531)),f331(f331(f256(x97531,x97531),x97535),x97532)),f311(x97531,x97534)))+~P107(f331(f331(f333(f934(x97531,x97531)),f331(f331(f256(x97531,x97531),x97535),x97533)),f311(x97531,x97534)))
% 204.32/204.33 [5863]E(x58631,f2(a927))+~E(f331(f35(x58632),x58635),x58631)+E(f331(f35(x58632),x58633),f331(a116,x58631))+~E(x58633,f331(f331(f313(x58632),x58634),x58635))+P107(f331(f331(f333(x58632),x58634),x58635))
% 204.32/204.33 [5985]~P65(x59852)+E(x59851,f2(x59852))+E(x59853,f2(x59852))+~E(f331(f331(f294(x59852),x59854),x59853),f331(f331(f294(x59852),x59855),x59851))+E(f331(f331(f81(x59852),x59854),x59851),f331(f331(f81(x59852),x59855),x59853))
% 204.32/204.33 [5986]~P65(x59862)+E(x59861,f2(x59862))+E(x59863,f2(x59862))+~E(f331(f331(f81(x59862),x59864),x59863),f331(f331(f81(x59862),x59865),x59861))+E(f331(f331(f294(x59862),x59864),x59861),f331(f331(f294(x59862),x59865),x59863))
% 204.32/204.33 [6055]~E(f331(f35(x60551),x60555),x60553)+~E(x60555,f192(f935(x60551,a923)))+E(f331(f35(x60551),x60552),f331(a116,x60553))+~E(x60552,f331(f331(f313(x60551),x60554),x60555))+P107(f331(f331(f333(x60551),x60554),x60555))
% 204.32/204.33 [6291]~P120(x62912)+~E(f331(x62913,x62915),f2(x62912))+E(f331(f331(f9(x62911,x62912),x62913),x62914),f2(x62912))+~P107(f331(f61(x62911),x62914))+~P107(f331(f331(f333(x62911),x62915),x62914))
% 204.32/204.33 [6666]~P109(x66663)+E(x66661,x66662)+~E(f331(f306(x66663,x66664),x66661),f331(f306(x66663,x66665),x66662))+~P107(f331(f331(f240(x66663),x66665),x66662))+~P107(f331(f331(f240(x66663),x66664),x66661))
% 204.32/204.33 [6667]~P109(x66673)+E(x66671,x66672)+~E(f331(f306(x66673,x66671),x66674),f331(f306(x66673,x66672),x66675))+~P107(f331(f331(f240(x66673),x66672),x66675))+~P107(f331(f331(f240(x66673),x66671),x66674))
% 204.32/204.33 [7727]~P109(x77271)+~P12(x77271,f331(f331(f138(x77271),x77274),x77275))+~P107(f331(f331(f333(x77271),x77273),f331(f176(x77271),x77275)))+~P107(f331(f331(f333(x77271),x77272),f331(f176(x77271),x77274)))+P107(f331(f331(f239(x77271),x77272),x77273))
% 204.32/204.33 [8833]~P111(x88331)+~P107(f331(f331(f240(f935(x88331,a923)),f307(x88331,x88335,x88332)),f307(x88331,x88334,x88333)))+~P107(f331(f331(f239(x88331),x88335),x88332))+P107(f331(f331(f240(x88331),x88332),x88333))+P107(f331(f331(f240(x88331),x88334),x88335))
% 204.32/204.33 [10261]~P16(x102612,x102615,x102613)+E(x102611,f192(f935(x102612,a923)))+~E(f331(f331(x102615,f331(x102614,f459(x102611,x102614,x102613,x102615,x102612))),f331(x102614,f460(x102611,x102614,x102613,x102615,x102612))),f331(x102614,f331(f331(x102615,f459(x102611,x102614,x102613,x102615,x102612)),f460(x102611,x102614,x102613,x102615,x102612))))+E(f331(x102613,f331(f314(x102612,x102612,x102614),x102611)),f331(x102614,f331(x102613,x102611)))+~P107(f331(f61(x102612),x102611))
% 204.32/204.33 [6663]~P17(x66632,x66635,x66633)+E(x66631,f192(f935(x66632,a923)))+~P107(f331(f61(x66632),x66631))+E(f331(x66633,f331(f331(f313(x66632),x66634),x66631)),f331(f331(x66635,x66634),f331(x66633,x66631)))+P107(f331(f331(f333(x66632),x66634),x66631))
% 204.32/204.33 [7489]~P16(x74892,x74893,x74894)+E(f331(f331(x74893,f331(x74894,x74891)),f331(x74894,x74895)),f331(x74894,x74895))+E(x74891,f192(f935(x74892,a923)))+~P107(f331(f61(x74892),x74895))+~P107(f331(f331(f239(f935(x74892,a923)),x74891),x74895))
% 204.32/204.33 [7859]~P17(x78594,x78595,x78591)+E(f331(x78591,x78592),x78593)+~P107(f331(f61(x78594),x78592))+~E(f331(f331(f23(f935(x78594,a923)),x78592),f331(f331(f313(x78594),x78593),f192(f935(x78594,a923)))),f192(f935(x78594,a923)))+~P107(f331(f331(f333(x78594),x78593),x78592))
% 204.32/204.33 [8754]~P71(x87541)+~P123(x87541)+~P107(f331(f61(x87542),x87545))+P107(f331(f331(f291(x87541),f331(f331(f9(x87542,x87541),x87543),x87544)),f331(f331(f9(x87542,x87541),x87543),x87545)))+~P107(f331(f331(f239(f935(x87542,a923)),x87544),x87545))
% 204.32/204.33 [8803]E(x88031,x88032)+~P7(x88033,x88034,x88035)+E(f331(f331(f105(f935(x88033,a923)),x88031),x88032),f192(f935(x88033,a923)))+~P107(f331(f331(f333(f935(x88033,a923)),x88032),f331(f331(f60(x88033),x88034),x88035)))+~P107(f331(f331(f333(f935(x88033,a923)),x88031),f331(f331(f60(x88033),x88034),x88035)))
% 204.32/204.33 [9621]~P72(x96212)+~E(f331(x96213,f355(x96213,x96214,x96215,x96211,x96212)),f2(x96212))+E(f331(f331(f6(x96211,x96212),x96213),x96214),f331(f331(f6(x96211,x96212),x96213),x96215))+~P107(f331(f61(x96211),x96215))+~P107(f331(f331(f239(f935(x96211,a923)),x96214),x96215))
% 204.32/204.33 [9622]~P72(x96222)+~E(f331(x96223,f356(x96223,x96224,x96225,x96221,x96222)),f2(x96222))+E(f331(f331(f6(x96221,x96222),x96223),x96224),f331(f331(f6(x96221,x96222),x96223),x96225))+~P107(f331(f61(x96221),x96225))+~P107(f331(f331(f239(f935(x96221,a923)),x96224),x96225))
% 204.32/204.33 [9623]~P71(x96232)+~E(f331(x96233,f908(x96233,x96234,x96235,x96231,x96232)),f78(x96232))+E(f331(f331(f9(x96231,x96232),x96233),x96234),f331(f331(f9(x96231,x96232),x96233),x96235))+~P107(f331(f61(x96231),x96235))+~P107(f331(f331(f239(f935(x96231,a923)),x96234),x96235))
% 204.32/204.33 [9624]~P71(x96242)+~E(f331(x96243,f909(x96243,x96244,x96245,x96241,x96242)),f78(x96242))+E(f331(f331(f9(x96241,x96242),x96243),x96244),f331(f331(f9(x96241,x96242),x96243),x96245))+~P107(f331(f61(x96241),x96245))+~P107(f331(f331(f239(f935(x96241,a923)),x96244),x96245))
% 204.32/204.33 [10105]~P90(x101051)+~P107(f331(f61(x101052),x101055))+~P107(f331(f331(f239(x101051),f2(x101051)),f331(x101053,f921(x101053,x101054,x101055,x101052,x101051))))+P107(f331(f331(f239(x101051),f331(f331(f6(x101052,x101051),x101053),x101054)),f331(f331(f6(x101052,x101051),x101053),x101055)))+~P107(f331(f331(f239(f935(x101052,a923)),x101054),x101055))
% 204.32/204.33 [7724]E(x77241,f2(a927))+P107(f331(x77242,x77243))+~E(x77244,f331(f331(f80(a927),f331(f331(f81(a927),x77241),x77243)),x77245))+~P107(f331(f331(f240(a927),x77245),x77241))+~P107(f331(x77242,f331(f331(f36(a927),x77244),x77241)))
% 204.32/204.33 [7799]E(x77991,f2(a927))+P107(f331(x77992,x77993))+~P107(f331(x77992,f45(a927,x77994,x77991)))+~E(x77994,f331(f331(f80(a927),f331(f331(f81(a927),x77991),x77995)),x77993))+~P107(f331(f331(f240(a927),x77993),x77991))
% 204.32/204.33 [8093]~P65(x80933)+E(f331(x80931,x80932),f2(x80933))+~P107(f331(f61(x80934),x80935))+E(f331(f331(f9(x80934,x80933),x80931),f331(f331(f23(f935(x80934,a923)),x80935),f331(f331(f313(x80934),x80932),f192(f935(x80934,a923))))),f331(f331(f9(x80934,x80933),x80931),x80935))+P107(f331(f331(f333(x80934),x80932),x80935))
% 204.32/204.33 [8491]~P72(x84911)+~P107(f331(f61(x84912),x84915))+~P107(f331(f61(x84912),x84914))+~E(f331(f331(f105(f935(x84912,a923)),x84914),x84915),f192(f935(x84912,a923)))+E(f331(f331(f80(x84911),f331(f331(f6(x84912,x84911),x84913),x84914)),f331(f331(f6(x84912,x84911),x84913),x84915)),f331(f331(f6(x84912,x84911),x84913),f331(f331(f114(f935(x84912,a923)),x84914),x84915)))
% 204.32/204.33 [8493]~P71(x84931)+~P107(f331(f61(x84932),x84935))+~P107(f331(f61(x84932),x84934))+~E(f331(f331(f105(f935(x84932,a923)),x84934),x84935),f192(f935(x84932,a923)))+E(f331(f331(f81(x84931),f331(f331(f9(x84932,x84931),x84933),x84934)),f331(f331(f9(x84932,x84931),x84933),x84935)),f331(f331(f9(x84932,x84931),x84933),f331(f331(f114(f935(x84932,a923)),x84934),x84935)))
% 204.32/204.33 [8592]~P65(x85923)+E(f331(x85921,x85922),f2(x85923))+~P107(f331(f61(x85924),x85925))+E(f331(f331(f9(x85924,x85923),x85921),f331(f331(f23(f935(x85924,a923)),x85925),f331(f331(f313(x85924),x85922),f192(f935(x85924,a923))))),f331(f331(f294(x85923),f331(f331(f9(x85924,x85923),x85921),x85925)),f331(x85921,x85922)))+~P107(f331(f331(f333(x85924),x85922),x85925))
% 204.32/204.33 [9327]~P7(x93271,x93275,x93274)+~E(f331(f331(f60(x93271),f331(f331(f313(x93271),x93272),f192(f935(x93271,a923)))),x93274),f331(f331(f60(x93271),f331(f331(f313(x93271),x93273),f192(f935(x93271,a923)))),x93274))+~P107(f331(f331(f333(x93271),x93273),x93275))+~P107(f331(f331(f333(x93271),x93272),x93275))+P107(f331(f331(f333(f934(x93271,x93271)),f331(f331(f256(x93271,x93271),x93272),x93273)),x93274))
% 204.32/204.33 [9349]~P7(x93491,x93495,x93493)+E(f331(f331(f60(x93491),f331(f331(f313(x93491),x93492),f192(f935(x93491,a923)))),x93493),f331(f331(f60(x93491),f331(f331(f313(x93491),x93494),f192(f935(x93491,a923)))),x93493))+~P107(f331(f331(f333(x93491),x93494),x93495))+~P107(f331(f331(f333(x93491),x93492),x93495))+~P107(f331(f331(f333(f934(x93491,x93491)),f331(f331(f256(x93491,x93491),x93492),x93494)),x93493))
% 204.32/204.33 [9650]~P71(x96501)+~P107(f331(f61(x96502),x96505))+~P107(f331(f61(x96502),x96504))+~E(f331(f331(f105(f935(x96502,a923)),x96504),x96505),f192(f935(x96502,a923)))+E(f331(f331(f81(x96501),f331(f331(f331(f65(x96501,x96502,f81(x96501)),x96503),f78(x96501)),x96504)),f331(f331(f331(f65(x96501,x96502,f81(x96501)),x96503),f78(x96501)),x96505)),f331(f331(f331(f65(x96501,x96502,f81(x96501)),x96503),f78(x96501)),f331(f331(f114(f935(x96502,a923)),x96504),x96505)))
% 204.32/204.33 [9659]~P72(x96591)+~E(f331(x96593,f343(x96593,x96595,x96594,x96592,x96591)),f2(x96591))+~P107(f331(f61(x96592),x96594))+~P107(f331(f61(x96592),x96595))+E(f331(f331(f80(x96591),f331(f331(f6(x96592,x96591),x96593),x96594)),f331(f331(f6(x96592,x96591),x96593),x96595)),f331(f331(f6(x96592,x96591),x96593),f331(f331(f114(f935(x96592,a923)),x96594),x96595)))
% 204.32/204.33 [9660]~P72(x96601)+~E(f331(x96603,f345(x96603,x96605,x96604,x96602,x96601)),f2(x96601))+~P107(f331(f61(x96602),x96604))+~P107(f331(f61(x96602),x96605))+E(f331(f331(f80(x96601),f331(f331(f6(x96602,x96601),x96603),x96604)),f331(f331(f6(x96602,x96601),x96603),x96605)),f331(f331(f6(x96602,x96601),x96603),f331(f331(f114(f935(x96602,a923)),x96604),x96605)))
% 204.32/204.33 [9661]~P71(x96611)+~E(f331(x96613,f902(x96613,x96615,x96614,x96612,x96611)),f78(x96611))+~P107(f331(f61(x96612),x96614))+~P107(f331(f61(x96612),x96615))+E(f331(f331(f81(x96611),f331(f331(f9(x96612,x96611),x96613),x96614)),f331(f331(f9(x96612,x96611),x96613),x96615)),f331(f331(f9(x96612,x96611),x96613),f331(f331(f114(f935(x96612,a923)),x96614),x96615)))
% 204.32/204.33 [9662]~P71(x96621)+~E(f331(x96623,f904(x96623,x96625,x96624,x96622,x96621)),f78(x96621))+~P107(f331(f61(x96622),x96624))+~P107(f331(f61(x96622),x96625))+E(f331(f331(f81(x96621),f331(f331(f9(x96622,x96621),x96623),x96624)),f331(f331(f9(x96622,x96621),x96623),x96625)),f331(f331(f9(x96622,x96621),x96623),f331(f331(f114(f935(x96622,a923)),x96624),x96625)))
% 204.32/204.33 [9882]~P71(x98821)+~E(f331(x98823,f344(x98823,x98825,x98824,x98822,x98821)),f78(x98821))+~P107(f331(f61(x98822),x98824))+~P107(f331(f61(x98822),x98825))+E(f331(f331(f81(x98821),f331(f331(f331(f65(x98821,x98822,f81(x98821)),x98823),f78(x98821)),x98824)),f331(f331(f331(f65(x98821,x98822,f81(x98821)),x98823),f78(x98821)),x98825)),f331(f331(f331(f65(x98821,x98822,f81(x98821)),x98823),f78(x98821)),f331(f331(f114(f935(x98822,a923)),x98824),x98825)))
% 204.32/204.33 [9992]~P72(x99922)+E(f331(f331(f6(x99921,x99922),x99923),x99924),f331(f331(f6(x99921,x99922),x99923),x99925))+~P107(f331(f61(x99921),x99925))+~P107(f331(f331(f239(f935(x99921,a923)),x99924),x99925))+P107(f331(f331(f333(x99921),f355(x99923,x99924,x99925,x99921,x99922)),f331(f331(f23(f935(x99921,a923)),x99925),x99924)))
% 204.32/204.33 [9993]~P72(x99932)+E(f331(f331(f6(x99931,x99932),x99933),x99934),f331(f331(f6(x99931,x99932),x99933),x99935))+~P107(f331(f61(x99931),x99935))+~P107(f331(f331(f239(f935(x99931,a923)),x99934),x99935))+P107(f331(f331(f333(x99931),f356(x99933,x99934,x99935,x99931,x99932)),f331(f331(f23(f935(x99931,a923)),x99935),x99934)))
% 204.32/204.33 [9994]~P71(x99942)+E(f331(f331(f9(x99941,x99942),x99943),x99944),f331(f331(f9(x99941,x99942),x99943),x99945))+~P107(f331(f61(x99941),x99945))+~P107(f331(f331(f239(f935(x99941,a923)),x99944),x99945))+P107(f331(f331(f333(x99941),f908(x99943,x99944,x99945,x99941,x99942)),f331(f331(f23(f935(x99941,a923)),x99945),x99944)))
% 204.32/204.33 [9995]~P71(x99952)+E(f331(f331(f9(x99951,x99952),x99953),x99954),f331(f331(f9(x99951,x99952),x99953),x99955))+~P107(f331(f61(x99951),x99955))+~P107(f331(f331(f239(f935(x99951,a923)),x99954),x99955))+P107(f331(f331(f333(x99951),f909(x99953,x99954,x99955,x99951,x99952)),f331(f331(f23(f935(x99951,a923)),x99955),x99954)))
% 204.32/204.33 [10013]~P72(x100131)+~P107(f331(f61(x100132),x100134))+~P107(f331(f61(x100132),x100135))+E(f331(f331(f80(x100131),f331(f331(f6(x100132,x100131),x100133),x100134)),f331(f331(f6(x100132,x100131),x100133),x100135)),f331(f331(f6(x100132,x100131),x100133),f331(f331(f114(f935(x100132,a923)),x100134),x100135)))+P107(f331(f331(f333(x100132),f343(x100133,x100135,x100134,x100132,x100131)),f331(f331(f105(f935(x100132,a923)),x100134),x100135)))
% 204.32/204.33 [10014]~P72(x100141)+~P107(f331(f61(x100142),x100144))+~P107(f331(f61(x100142),x100145))+E(f331(f331(f80(x100141),f331(f331(f6(x100142,x100141),x100143),x100144)),f331(f331(f6(x100142,x100141),x100143),x100145)),f331(f331(f6(x100142,x100141),x100143),f331(f331(f114(f935(x100142,a923)),x100144),x100145)))+P107(f331(f331(f333(x100142),f345(x100143,x100145,x100144,x100142,x100141)),f331(f331(f105(f935(x100142,a923)),x100144),x100145)))
% 204.32/204.33 [10015]~P71(x100151)+~P107(f331(f61(x100152),x100154))+~P107(f331(f61(x100152),x100155))+E(f331(f331(f81(x100151),f331(f331(f9(x100152,x100151),x100153),x100154)),f331(f331(f9(x100152,x100151),x100153),x100155)),f331(f331(f9(x100152,x100151),x100153),f331(f331(f114(f935(x100152,a923)),x100154),x100155)))+P107(f331(f331(f333(x100152),f902(x100153,x100155,x100154,x100152,x100151)),f331(f331(f105(f935(x100152,a923)),x100154),x100155)))
% 204.32/204.33 [10016]~P71(x100161)+~P107(f331(f61(x100162),x100164))+~P107(f331(f61(x100162),x100165))+E(f331(f331(f81(x100161),f331(f331(f9(x100162,x100161),x100163),x100164)),f331(f331(f9(x100162,x100161),x100163),x100165)),f331(f331(f9(x100162,x100161),x100163),f331(f331(f114(f935(x100162,a923)),x100164),x100165)))+P107(f331(f331(f333(x100162),f904(x100163,x100165,x100164,x100162,x100161)),f331(f331(f105(f935(x100162,a923)),x100164),x100165)))
% 204.32/204.33 [10022]~P90(x100225)+~P107(f331(f61(x100221),x100224))+P107(f331(f331(f239(x100225),f331(f331(f6(x100221,x100225),x100222),x100223)),f331(f331(f6(x100221,x100225),x100222),x100224)))+~P107(f331(f331(f239(f935(x100221,a923)),x100223),x100224))+P107(f331(f331(f333(x100221),f921(x100222,x100223,x100224,x100221,x100225)),f331(f331(f23(f935(x100221,a923)),x100224),x100223)))
% 204.32/204.33 [10066]~P71(x100661)+~P107(f331(f61(x100662),x100664))+~P107(f331(f61(x100662),x100665))+E(f331(f331(f81(x100661),f331(f331(f331(f65(x100661,x100662,f81(x100661)),x100663),f78(x100661)),x100664)),f331(f331(f331(f65(x100661,x100662,f81(x100661)),x100663),f78(x100661)),x100665)),f331(f331(f331(f65(x100661,x100662,f81(x100661)),x100663),f78(x100661)),f331(f331(f114(f935(x100662,a923)),x100664),x100665)))+P107(f331(f331(f333(x100662),f344(x100663,x100665,x100664,x100662,x100661)),f331(f331(f105(f935(x100662,a923)),x100664),x100665)))
% 204.32/204.33 [9012]~P17(x90121,x90124,x90125)+~P107(f331(f61(x90121),x90122))+E(f331(f331(f23(f935(x90121,a923)),x90122),f331(f331(f313(x90121),x90123),f192(f935(x90121,a923)))),f192(f935(x90121,a923)))+~P107(f331(f331(f333(x90121),x90123),x90122))+E(f331(f331(x90124,x90123),f331(x90125,f331(f331(f23(f935(x90121,a923)),x90122),f331(f331(f313(x90121),x90123),f192(f935(x90121,a923)))))),f331(x90125,x90122))
% 204.32/204.33 [9090]~P17(x90901,x90904,x90905)+~P107(f331(f61(x90901),x90903))+~P107(f331(f61(x90901),x90902))+E(f331(f331(f105(f935(x90901,a923)),x90902),x90903),f192(f935(x90901,a923)))+E(f331(f331(x90904,f331(x90905,f331(f331(f114(f935(x90901,a923)),x90902),x90903))),f331(x90905,f331(f331(f105(f935(x90901,a923)),x90902),x90903))),f331(f331(x90904,f331(x90905,x90902)),f331(x90905,x90903)))
% 204.32/204.33 [9664]~P107(f331(f331(f239(a1),x96644),f2(a1)))+~P107(f331(f331(f240(a1),x96643),x96645))+P107(f331(f331(f239(a1),x96641),x96642))+~P107(f331(f331(f240(a1),x96643),x96644))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),f331(f331(f81(a1),x96643),x96642)),x96645)),f331(f331(f80(a1),f331(f331(f81(a1),x96643),x96641)),x96644)))
% 204.32/204.33 [9666]~P107(f331(f331(f239(a1),f2(a1)),x96665))+P107(f331(f331(f239(a1),x96661),x96662))+~P107(f331(f331(f240(a1),x96663),x96664))+~P107(f331(f331(f240(a1),x96665),x96664))+~P107(f331(f331(f239(a1),f331(f331(f80(a1),f331(f331(f81(a1),x96664),x96661)),x96665)),f331(f331(f80(a1),f331(f331(f81(a1),x96664),x96662)),x96663)))
% 204.32/204.33 [9791]~P65(x97915)+E(f331(x97911,f357(x97911,x97912,x97913,x97914,x97915)),f2(x97915))+~P107(f331(f61(x97914),x97913))+~P107(f331(f61(x97914),x97912))+E(f331(f331(f294(x97915),f331(f331(f81(x97915),f331(f331(f9(x97914,x97915),x97911),x97913)),f331(f331(f9(x97914,x97915),x97911),x97912))),f331(f331(f9(x97914,x97915),x97911),f331(f331(f105(f935(x97914,a923)),x97913),x97912))),f331(f331(f9(x97914,x97915),x97911),f331(f331(f114(f935(x97914,a923)),x97913),x97912)))
% 204.32/204.33 [10058]~P65(x100581)+~P107(f331(f61(x100582),x100584))+~P107(f331(f61(x100582),x100585))+E(f331(f331(f294(x100581),f331(f331(f81(x100581),f331(f331(f9(x100582,x100581),x100583),x100584)),f331(f331(f9(x100582,x100581),x100583),x100585))),f331(f331(f9(x100582,x100581),x100583),f331(f331(f105(f935(x100582,a923)),x100584),x100585))),f331(f331(f9(x100582,x100581),x100583),f331(f331(f114(f935(x100582,a923)),x100584),x100585)))+P107(f331(f331(f333(x100582),f357(x100583,x100585,x100584,x100582,x100581)),f331(f331(f105(f935(x100582,a923)),x100584),x100585)))
% 204.32/204.33 [9368]E(f331(f331(f138(x93681),x93682),x93683),f331(f331(f138(x93681),x93684),x93685))+~E(f331(f331(f179(x93681),f331(f193(f928(x93681)),x93684)),x93682),x93684)+~E(f331(f331(f179(x93681),f331(f193(f928(x93681)),x93682)),x93684),x93682)+~E(x93685,f331(f331(f138(x93681),f331(f331(f142(x93681),f331(f193(f928(x93681)),x93684)),x93682)),x93683))+~E(f331(f331(f138(x93681),f331(f331(f142(x93681),f331(f193(f928(x93681)),x93682)),x93684)),x93685),x93683)
% 204.32/204.33 [9789]~P109(x97892)+E(f331(f331(f152(x97891,x97892,x97893),x97894),f174(x97891,x97894,x97895)),x97895)+~P12(x97892,f331(f331(f158(x97891,x97892),x97893),x97895))+~P107(f331(f331(f333(x97891),x97894),f331(f176(x97891),x97895)))+~E(f331(f145(x97891),f331(f140(x97891,f331(f331(f8(x97892,a923,x97891),f331(a328,f331(x97893,x97894))),x97893)),x97895)),x97894)
% 204.32/204.33 [10123]~P69(x101231)+~P107(f331(f66(x101231,x101231,f81(x101231),x101232,x101233),x101235))+~P107(f331(f331(f333(x101231),x101234),x101233))+P107(f331(f331(f333(x101231),x101232),x101233))+P107(f331(f66(x101231,x101231,f81(x101231),x101234,f331(f331(f313(x101231),x101232),f331(f331(f23(f935(x101231,a923)),x101233),f331(f331(f313(x101231),x101234),f192(f935(x101231,a923)))))),x101235))
% 204.32/204.33 [7497]E(x74971,x74972)+~P24(x74974,x74975,x74973,x74976)+~E(f331(x74973,x74971),f331(x74973,x74972))+~P107(f331(f331(f333(x74974),x74972),x74976))+~P107(f331(f331(f333(x74974),x74971),x74976))
% 204.32/204.33 [6754]~P145(x67544)+E(x67541,x67542)+~E(x67545,x67546)+E(x67543,f2(x67544))+~E(f331(f331(f80(x67544),x67545),f331(f331(f81(x67544),x67543),x67541)),f331(f331(f80(x67544),x67546),f331(f331(f81(x67544),x67543),x67542)))
% 204.32/204.33 [7779]~P109(x77791)+~P4(x77791)+~P107(f331(f331(f240(x77791),x77792),f331(x77795,x77796)))+~P107(f331(f331(f333(x77793),x77796),x77794))+P107(f331(f331(f240(x77791),x77792),f331(f331(f39(x77793,x77791),x77794),x77795)))
% 204.32/204.33 [10119]~P24(x101192,x101191,x101193,x101194)+~P24(x101191,x101192,x101196,x101195)+P25(x101191,x101192,f835(x101193,x101194,x101195,x101196,x101192,x101191),x101195,x101194)+~P107(f331(f331(f239(f935(x101192,a923)),f331(f314(x101191,x101192,x101196),x101195)),x101194))+~P107(f331(f331(f239(f935(x101191,a923)),f331(f314(x101192,x101191,x101193),x101194)),x101195))
% 204.32/204.33 [8462]~P109(x84621)+~P4(x84621)+~P107(f331(f331(f240(x84621),f331(x84624,x84626)),x84625))+~P107(f331(f331(f333(x84622),x84626),x84623))+P107(f331(f331(f240(x84621),f331(f331(f40(x84622,x84621),x84623),x84624)),x84625))
% 204.32/204.33 [8723]~P18(x87232,x87235,x87236,x87231)+~P107(f331(f61(x87232),x87234))+~P107(f331(f61(x87232),x87233))+~E(f331(f331(f105(f935(x87232,a923)),x87233),x87234),f192(f935(x87232,a923)))+E(f331(x87231,f331(f331(f114(f935(x87232,a923)),x87233),x87234)),f331(f73(x87235,x87235,x87235,f331(x87231,x87233)),f331(x87231,x87234)))
% 204.32/204.33 [10318]~P71(x103181)+~E(f822(x103184,x103185,x103183,x103186,x103182,x103181),f823(x103184,x103185,x103183,x103186,x103182,x103181))+~P107(f331(f61(x103182),x103186))+E(f331(f331(f331(f65(x103181,x103182,f81(x103181)),f331(f331(f8(f935(x103183,a923),x103181,x103182),f331(f331(f65(x103181,x103183,f81(x103181)),x103184),f78(x103181))),x103185)),f78(x103181)),x103186),f331(f331(f331(f65(x103181,x103183,f81(x103181)),x103184),f78(x103181)),f331(f331(f39(x103182,f935(x103183,a923)),x103186),x103185)))+P107(f331(f331(f333(x103182),f821(x103184,x103185,x103183,x103186,x103182,x103181)),x103186))
% 204.32/204.33 [10349]~P71(x103491)+~E(f822(x103494,x103495,x103493,x103496,x103492,x103491),f823(x103494,x103495,x103493,x103496,x103492,x103491))+~P107(f331(f61(x103492),x103496))+E(f331(f331(f331(f65(x103491,x103492,f81(x103491)),f331(f331(f8(f935(x103493,a923),x103491,x103492),f331(f331(f65(x103491,x103493,f81(x103491)),x103494),f78(x103491))),x103495)),f78(x103491)),x103496),f331(f331(f331(f65(x103491,x103493,f81(x103491)),x103494),f78(x103491)),f331(f331(f39(x103492,f935(x103493,a923)),x103496),x103495)))+~P107(f331(f61(x103493),f331(x103495,f821(x103494,x103495,x103493,x103496,x103492,x103491))))
% 204.32/204.33 [10352]~P71(x103521)+~P107(f331(f61(x103522),x103526))+E(f331(f331(f331(f65(x103521,x103522,f81(x103521)),f331(f331(f8(f935(x103523,a923),x103521,x103522),f331(f331(f65(x103521,x103523,f81(x103521)),x103524),f78(x103521))),x103525)),f78(x103521)),x103526),f331(f331(f331(f65(x103521,x103523,f81(x103521)),x103524),f78(x103521)),f331(f331(f39(x103522,f935(x103523,a923)),x103526),x103525)))+P107(f331(f331(f333(x103522),f821(x103524,x103525,x103523,x103526,x103522,x103521)),x103526))+P107(f331(f331(f333(x103522),f823(x103524,x103525,x103523,x103526,x103522,x103521)),x103526))
% 204.32/204.33 [10353]~P71(x103531)+~P107(f331(f61(x103532),x103536))+E(f331(f331(f331(f65(x103531,x103532,f81(x103531)),f331(f331(f8(f935(x103533,a923),x103531,x103532),f331(f331(f65(x103531,x103533,f81(x103531)),x103534),f78(x103531))),x103535)),f78(x103531)),x103536),f331(f331(f331(f65(x103531,x103533,f81(x103531)),x103534),f78(x103531)),f331(f331(f39(x103532,f935(x103533,a923)),x103536),x103535)))+P107(f331(f331(f333(x103532),f821(x103534,x103535,x103533,x103536,x103532,x103531)),x103536))+P107(f331(f331(f333(x103532),f822(x103534,x103535,x103533,x103536,x103532,x103531)),x103536))
% 204.32/204.33 [10375]~P71(x103751)+~P107(f331(f61(x103752),x103756))+E(f331(f331(f331(f65(x103751,x103752,f81(x103751)),f331(f331(f8(f935(x103753,a923),x103751,x103752),f331(f331(f65(x103751,x103753,f81(x103751)),x103754),f78(x103751))),x103755)),f78(x103751)),x103756),f331(f331(f331(f65(x103751,x103753,f81(x103751)),x103754),f78(x103751)),f331(f331(f39(x103752,f935(x103753,a923)),x103756),x103755)))+P107(f331(f331(f333(x103752),f823(x103754,x103755,x103753,x103756,x103752,x103751)),x103756))+~P107(f331(f61(x103753),f331(x103755,f821(x103754,x103755,x103753,x103756,x103752,x103751))))
% 204.32/204.33 [10376]~P71(x103761)+~P107(f331(f61(x103762),x103766))+E(f331(f331(f331(f65(x103761,x103762,f81(x103761)),f331(f331(f8(f935(x103763,a923),x103761,x103762),f331(f331(f65(x103761,x103763,f81(x103761)),x103764),f78(x103761))),x103765)),f78(x103761)),x103766),f331(f331(f331(f65(x103761,x103763,f81(x103761)),x103764),f78(x103761)),f331(f331(f39(x103762,f935(x103763,a923)),x103766),x103765)))+P107(f331(f331(f333(x103762),f822(x103764,x103765,x103763,x103766,x103762,x103761)),x103766))+~P107(f331(f61(x103763),f331(x103765,f821(x103764,x103765,x103763,x103766,x103762,x103761))))
% 204.32/204.33 [10388]~P71(x103881)+~E(f331(f331(f105(f935(x103883,a923)),f331(x103885,f823(x103884,x103885,x103883,x103886,x103882,x103881))),f331(x103885,f822(x103884,x103885,x103883,x103886,x103882,x103881))),f192(f935(x103883,a923)))+~P107(f331(f61(x103882),x103886))+E(f331(f331(f331(f65(x103881,x103882,f81(x103881)),f331(f331(f8(f935(x103883,a923),x103881,x103882),f331(f331(f65(x103881,x103883,f81(x103881)),x103884),f78(x103881))),x103885)),f78(x103881)),x103886),f331(f331(f331(f65(x103881,x103883,f81(x103881)),x103884),f78(x103881)),f331(f331(f39(x103882,f935(x103883,a923)),x103886),x103885)))+P107(f331(f331(f333(x103882),f821(x103884,x103885,x103883,x103886,x103882,x103881)),x103886))
% 204.32/204.33 [10399]~P71(x103991)+~E(f331(f331(f105(f935(x103993,a923)),f331(x103995,f823(x103994,x103995,x103993,x103996,x103992,x103991))),f331(x103995,f822(x103994,x103995,x103993,x103996,x103992,x103991))),f192(f935(x103993,a923)))+~P107(f331(f61(x103992),x103996))+E(f331(f331(f331(f65(x103991,x103992,f81(x103991)),f331(f331(f8(f935(x103993,a923),x103991,x103992),f331(f331(f65(x103991,x103993,f81(x103991)),x103994),f78(x103991))),x103995)),f78(x103991)),x103996),f331(f331(f331(f65(x103991,x103993,f81(x103991)),x103994),f78(x103991)),f331(f331(f39(x103992,f935(x103993,a923)),x103996),x103995)))+~P107(f331(f61(x103993),f331(x103995,f821(x103994,x103995,x103993,x103996,x103992,x103991))))
% 204.32/204.33 [9060]E(x90601,x90602)+~P57(x90604,x90605,x90606,x90603,x90607)+~E(f331(x90603,x90601),f331(x90603,x90602))+~P107(f331(f331(f333(x90605),x90602),x90607))+~P107(f331(f331(f333(x90605),x90601),x90607))
% 204.32/204.33 [10363]~P107(f331(x103632,x103634))+~E(x103635,f331(f140(x103631,x103632),x103637))+E(f331(f140(x103631,x103632),x103633),f331(f331(f155(x103631),x103634),x103635))+~E(x103633,f331(f331(f138(x103631),x103636),f331(f331(f155(x103631),x103634),x103637)))+P107(f331(x103632,f755(x103635,x103634,x103633,x103632,x103631,x103636,x103637)))
% 204.32/204.33 [10364]~P107(f331(x103644,x103642))+~E(x103643,f331(f140(x103641,x103644),x103647))+E(f331(f331(f155(x103641),x103642),x103643),f331(f140(x103641,x103644),x103645))+~E(x103645,f331(f331(f138(x103641),x103646),f331(f331(f155(x103641),x103642),x103647)))+P107(f331(x103644,f756(x103645,x103644,x103643,x103642,x103641,x103646,x103647)))
% 204.32/204.33 [10415]~P107(f331(x104152,x104154))+~E(x104155,f331(f140(x104151,x104152),x104157))+E(f331(f140(x104151,x104152),x104153),f331(f331(f155(x104151),x104154),x104155))+~E(x104153,f331(f331(f138(x104151),x104156),f331(f331(f155(x104151),x104154),x104157)))+P107(f331(f331(f333(x104151),f755(x104155,x104154,x104153,x104152,x104151,x104156,x104157)),f331(f176(x104151),x104156)))
% 204.32/204.33 [10416]~P107(f331(x104164,x104162))+~E(x104163,f331(f140(x104161,x104164),x104167))+E(f331(f331(f155(x104161),x104162),x104163),f331(f140(x104161,x104164),x104165))+~E(x104165,f331(f331(f138(x104161),x104166),f331(f331(f155(x104161),x104162),x104167)))+P107(f331(f331(f333(x104161),f756(x104165,x104164,x104163,x104162,x104161,x104166,x104167)),f331(f176(x104161),x104166)))
% 204.32/204.33 [10420]~P7(x104201,x104207,x104206)+~P10(x104201,f935(x104205,a923),x104206,x104204)+P107(f331(f331(f333(x104201),f531(x104202,x104203,x104204,x104205,x104206,x104207,x104201)),x104207))+~P107(f331(f331(f333(f935(x104201,a923)),x104203),f331(f331(f60(x104201),x104207),x104206)))+P107(f331(f331(f333(f935(x104205,a923)),f331(f331(f39(x104201,f935(x104205,a923)),x104203),x104204)),x104202))
% 204.32/204.33 [10479]~P7(x104792,x104796,x104797)+~P10(x104792,f935(x104791,a923),x104797,x104794)+~P107(f331(f331(f333(f935(x104792,a923)),x104793),f331(f331(f60(x104792),x104796),x104797)))+~P107(f331(f331(f333(f935(x104791,a923)),f331(x104794,f531(x104795,x104793,x104794,x104791,x104797,x104796,x104792))),x104795))+P107(f331(f331(f333(f935(x104791,a923)),f331(f331(f39(x104792,f935(x104791,a923)),x104793),x104794)),x104795))
% 204.32/204.33 [8634]~P71(x86342)+~P24(x86341,x86345,x86348,x86344)+~E(x86343,f331(f73(x86345,x86342,x86341,x86346),x86348))+~E(x86347,f331(f314(x86341,x86345,x86348),x86344))+E(f331(f331(f9(x86341,x86342),x86343),x86344),f331(f331(f9(x86345,x86342),x86346),x86347))
% 204.32/204.33 [10483]~P71(x104832)+~P24(x104835,x104831,x104838,x104837)+~E(f331(x104836,f600(x104833,x104836,x104834,x104837,x104838,x104831,x104835,x104832)),f331(f331(f73(x104831,x104832,x104835,x104833),x104838),f600(x104833,x104836,x104834,x104837,x104838,x104831,x104835,x104832)))+~E(x104834,f331(f314(x104835,x104831,x104838),x104837))+E(f331(f331(f9(x104831,x104832),x104833),x104834),f331(f331(f9(x104835,x104832),x104836),x104837))
% 204.32/204.33 [10486]~P72(x104862)+~P24(x104861,x104865,x104868,x104864)+~E(x104867,f331(f314(x104861,x104865,x104868),x104864))+E(f331(f331(f6(x104861,x104862),x104863),x104864),f331(f331(f6(x104865,x104862),x104866),x104867))+P107(f331(f331(f333(x104861),f613(x104866,x104863,x104867,x104864,x104868,x104865,x104861,x104862)),x104864))
% 204.32/204.33 [10487]~P71(x104872)+~P24(x104871,x104875,x104878,x104874)+~E(x104877,f331(f314(x104871,x104875,x104878),x104874))+E(f331(f331(f9(x104871,x104872),x104873),x104874),f331(f331(f9(x104875,x104872),x104876),x104877))+P107(f331(f331(f333(x104871),f600(x104876,x104873,x104877,x104874,x104878,x104875,x104871,x104872)),x104874))
% 204.32/204.33 [10492]~P72(x104922)+~P24(x104925,x104921,x104928,x104927)+~E(x104924,f331(f314(x104925,x104921,x104928),x104927))+~E(f331(x104926,f613(x104923,x104926,x104924,x104927,x104928,x104921,x104925,x104922)),f331(x104923,f331(x104928,f613(x104923,x104926,x104924,x104927,x104928,x104921,x104925,x104922))))+E(f331(f331(f6(x104921,x104922),x104923),x104924),f331(f331(f6(x104925,x104922),x104926),x104927))
% 204.32/204.33 [9955]~P22(x99556,x99552,x99555,x99557,x99558,x99551)+~P107(f331(f61(x99552),x99554))+~P107(f331(f61(x99552),x99553))+~E(f331(f331(f105(f935(x99552,a923)),x99553),x99554),f192(f935(x99552,a923)))+E(f331(x99551,f331(f331(f114(f935(x99552,a923)),x99553),x99554)),f331(f331(x99555,f331(x99551,x99553)),f331(x99551,x99554)))
% 204.32/204.33 [10346]~P22(x103468,x103462,x103465,x103467,x103466,x103461)+~E(f331(x103466,f888(x103464,x103463,x103461,x103466,x103467,x103465,x103462)),x103467)+~P107(f331(f61(x103462),x103463))+~P107(f331(f61(x103462),x103464))+E(f331(x103461,f331(f331(f114(f935(x103462,a923)),x103463),x103464)),f331(f331(x103465,f331(x103461,x103463)),f331(x103461,x103464)))
% 204.32/204.33 [10427]~P22(x104278,x104272,x104275,x104277,x104276,x104271)+~P107(f331(f61(x104272),x104273))+~P107(f331(f61(x104272),x104274))+E(f331(x104271,f331(f331(f114(f935(x104272,a923)),x104273),x104274)),f331(f331(x104275,f331(x104271,x104273)),f331(x104271,x104274)))+P107(f331(f331(f333(x104272),f888(x104274,x104273,x104271,x104276,x104277,x104275,x104272)),f331(f331(f105(f935(x104272,a923)),x104273),x104274)))
% 204.32/204.33 [10110]~P7(x101104,x101108,x101105)+~P7(x101101,x101109,x101103)+~P11(x101101,x101104,f935(x101102,a923),x101103,x101105,x101107)+P10(x101101,f935(x101102,a923),x101103,f331(f331(f8(f935(x101104,f935(x101102,a923)),f935(x101102,a923),x101101),f331(f39(x101104,f935(x101102,a923)),f331(f289(x101104,x101104,x101105),f331(f331(f313(x101104),x101106),f192(f935(x101104,a923)))))),x101107))+~P107(f331(f331(f333(x101104),x101106),x101108))
% 204.32/204.33 [5663]~P109(x56633)+~P12(x56633,x56631)+E(x56631,f733(x56632,x56633))+~E(f331(f176(x56633),x56631),x56632)+~P107(f331(f61(x56633),x56632))+~P107(f331(f141(x56633),x56631))
% 204.32/204.33 [7488]P14(x74881,x74882)+~E(f331(x74882,f815(x74882)),f331(x74882,f816(x74882)))+~P107(f331(f331(x74882,f815(x74882)),f815(x74882)))+~P107(f331(f331(x74882,f815(x74882)),f816(x74882)))+~P107(f331(f331(x74882,f816(x74882)),f816(x74882)))+~P107(f331(f331(x74882,x74883),x74883))
% 204.32/204.33 [5286]~P130(x52862)+~P135(x52862)+~P146(x52862)+~P117(x52862)+E(x52861,f2(x52862))+~E(f331(f331(f248(x52862),x52861),x52863),f2(x52862))
% 204.32/204.33 [5287]~P130(x52872)+~P135(x52872)+~P146(x52872)+~P117(x52872)+~E(x52871,f2(a927))+~E(f331(f331(f248(x52872),x52873),x52871),f2(x52872))
% 204.32/204.33 [6736]~P90(x67361)+~E(x67363,f2(x67361))+~E(x67362,f2(x67361))+E(f331(f331(f80(x67361),x67362),x67363),f2(x67361))+~P107(f331(f331(f239(x67361),f2(x67361)),x67363))+~P107(f331(f331(f239(x67361),f2(x67361)),x67362))
% 204.32/204.33 [9128]~E(f331(f255(a927,a927),x91283),f2(a927))+~E(x91281,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x91283)),x91282)),f331(f260(a927,a927),x91283)))+P107(f331(f48(x91281,x91282),x91283))+~P107(f331(f331(f239(a927),f331(f260(a927,a927),x91283)),f2(a927)))+P107(f331(f331(f240(a927),f2(a927)),x91282))+~P107(f331(f331(f240(a927),x91282),f331(f260(a927,a927),x91283)))
% 204.32/204.33 [9136]E(x91361,f2(a927))+~E(x91362,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x91363)),x91361)),f331(f260(a927,a927),x91363)))+P107(f331(f48(x91362,x91361),x91363))+~P107(f331(f331(f240(a927),f2(a927)),x91361))+~P107(f331(f331(f239(a927),f2(a927)),f331(f260(a927,a927),x91363)))+~P107(f331(f331(f240(a927),f331(f260(a927,a927),x91363)),x91361))
% 204.32/204.33 [9154]~E(f331(f255(a927,a927),x91543),f2(a927))+~E(x91541,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x91543)),x91542)),f331(f260(a927,a927),x91543)))+P107(f331(f48(x91541,x91542),x91543))+~P107(f331(f331(f240(a927),f2(a927)),x91542))+~P107(f331(f331(f239(a927),f2(a927)),f331(f260(a927,a927),x91543)))+~P107(f331(f331(f240(a927),f331(f260(a927,a927),x91543)),x91542))
% 204.32/204.33 [7114]~P79(x71142)+E(x71141,f192(f935(x71142,a923)))+E(x71143,f192(f935(x71142,a923)))+~P107(f331(f61(x71142),x71141))+~P107(f331(f61(x71142),x71143))+E(f10(x71142,f331(f331(f114(f935(x71142,a923)),x71143),x71141)),f331(f331(f114(x71142),f10(x71142,x71143)),f10(x71142,x71141)))
% 204.32/204.33 [7115]~P79(x71152)+E(x71151,f192(f935(x71152,a923)))+E(x71153,f192(f935(x71152,a923)))+~P107(f331(f61(x71152),x71151))+~P107(f331(f61(x71152),x71153))+E(f11(x71152,f331(f331(f114(f935(x71152,a923)),x71153),x71151)),f331(f331(f105(x71152),f11(x71152,x71153)),f11(x71152,x71151)))
% 204.32/204.33 [7116]~P109(x71162)+E(x71161,f192(f935(x71162,a923)))+E(x71163,f192(f935(x71162,a923)))+~P107(f331(f61(x71162),x71161))+~P107(f331(f61(x71162),x71163))+E(f14(x71162,f331(f331(f114(f935(x71162,a923)),x71163),x71161)),f331(f331(f237(x71162),f14(x71162,x71163)),f14(x71162,x71161)))
% 204.32/204.33 [7117]~P109(x71172)+E(x71171,f192(f935(x71172,a923)))+E(x71173,f192(f935(x71172,a923)))+~P107(f331(f61(x71172),x71171))+~P107(f331(f61(x71172),x71173))+E(f15(x71172,f331(f331(f114(f935(x71172,a923)),x71173),x71171)),f331(f331(f238(x71172),f15(x71172,x71173)),f15(x71172,x71171)))
% 204.32/204.33 [7756]~P98(x77562)+E(x77561,f192(f935(x77562,a923)))+E(x77563,f192(f935(x77562,a923)))+~P107(f331(f61(x77562),x77561))+~P107(f331(f61(x77562),x77563))+E(f331(f331(f81(x77562),f331(f63(x77562,f81(x77562)),x77563)),f331(f63(x77562,f81(x77562)),x77561)),f331(f63(x77562,f81(x77562)),f331(f331(f114(f935(x77562,a923)),x77563),x77561)))
% 204.32/204.33 [7913]~P109(x79132)+E(x79131,f192(f935(x79132,a923)))+E(x79133,f192(f935(x79132,a923)))+~P107(f331(f61(x79132),x79131))+~P107(f331(f61(x79132),x79133))+E(f331(f331(f238(x79132),f12(x79132,f238(x79132),x79133)),f12(x79132,f238(x79132),x79131)),f12(x79132,f238(x79132),f331(f331(f114(f935(x79132,a923)),x79133),x79131)))
% 204.32/204.33 [7914]~P109(x79142)+E(x79141,f192(f935(x79142,a923)))+E(x79143,f192(f935(x79142,a923)))+~P107(f331(f61(x79142),x79141))+~P107(f331(f61(x79142),x79143))+E(f331(f331(f237(x79142),f13(x79142,f237(x79142),x79143)),f13(x79142,f237(x79142),x79141)),f13(x79142,f237(x79142),f331(f331(f114(f935(x79142,a923)),x79143),x79141)))
% 204.32/204.33 [8961]~P107(f331(x89611,x89613))+P107(f331(x89611,f429(x89611,x89612)))+P107(f331(x89611,f426(x89611,x89612)))+~P107(f331(f331(f240(a1),f2(a1)),x89612))+~P107(f331(f331(f333(a1),x89613),f307(a1,f78(a1),x89612)))+P107(f331(x89611,f331(f331(f23(a1),f426(x89611,x89612)),f331(f331(f81(a1),f428(x89611,x89612)),x89612))))
% 204.32/204.33 [9266]~P107(f331(x92661,x92663))+~P107(f331(x92661,f426(x92661,x92662)))+P107(f331(x92661,f429(x92661,x92662)))+~P107(f331(f331(f240(a1),f2(a1)),x92662))+~P107(f331(f331(f333(a1),x92663),f307(a1,f78(a1),x92662)))+~P107(f331(x92661,f331(f331(f23(a1),f426(x92661,x92662)),f331(f331(f81(a1),f428(x92661,x92662)),x92662))))
% 204.32/204.33 [10521]~P100(x105212)+E(x105211,f192(f935(x105212,a923)))+E(x105213,f192(f935(x105212,a923)))+~P107(f331(f61(x105212),x105211))+~P107(f331(f61(x105212),x105213))+E(f11(x105212,f331(f266(x105212),f331(f331(f8(f935(x105212,a923),a923,x105212),f87(x105212)),f331(f331(f8(f935(x105212,f935(x105212,a923)),f935(x105212,a923),x105212),f331(f8(f935(x105212,a923),a923,x105212),f87(x105212))),f331(f331(f7(x105212,f935(x105212,f935(x105212,a923)),f935(x105212,f935(x105212,a923))),f331(f331(f8(f935(x105212,f935(f935(x105212,a923),f935(x105212,a923))),f935(f935(x105212,f935(x105212,a923)),f935(x105212,f935(x105212,a923))),x105212),f18(x105212,f935(x105212,a923),f935(x105212,a923))),f331(f331(f8(f935(x105212,f935(x105212,f935(a923,a923))),f935(x105212,f935(f935(x105212,a923),f935(x105212,a923))),x105212),f331(f8(f935(x105212,f935(a923,a923)),f935(f935(x105212,a923),f935(x105212,a923)),x105212),f18(x105212,a923,a923))),f331(f331(f8(f935(x105212,f935(x105212,a923)),f935(x105212,f935(x105212,f935(a923,a923))),x105212),f331(f8(f935(x105212,a923),f935(x105212,f935(a923,a923)),x105212),f331(f8(a923,f935(a923,a923),x105212),a329))),f331(f331(f7(x105212,f935(x105212,f935(x105212,x105212)),f935(x105212,f935(x105212,a923))),f331(f331(f8(f935(f935(x105212,x105212),f935(x105212,a923)),f935(f935(x105212,f935(x105212,x105212)),f935(x105212,f935(x105212,a923))),x105212),f8(f935(x105212,x105212),f935(x105212,a923),x105212)),f331(f331(f8(f935(x105212,a923),f935(f935(x105212,x105212),f935(x105212,a923)),x105212),f8(x105212,a923,x105212)),a328))),f114(x105212)))))),f331(f331(f7(x105212,f935(x105212,a923),f935(x105212,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x105212,a923),f935(x105212,a923)),x105212),f8(a923,a923,x105212)),f331(f331(f8(a923,f935(a923,a923),x105212),a329),f331(f331(f7(x105212,f935(x105212,a923),a923),f333(x105212)),x105213)))),f331(f331(f7(x105212,f935(x105212,a923),a923),f333(x105212)),x105211))))))),f331(f331(f114(x105212),f11(x105212,x105213)),f11(x105212,x105211)))
% 204.32/204.33 [10522]~P100(x105222)+E(x105221,f192(f935(x105222,a923)))+E(x105223,f192(f935(x105222,a923)))+~P107(f331(f61(x105222),x105221))+~P107(f331(f61(x105222),x105223))+E(f10(x105222,f331(f266(x105222),f331(f331(f8(f935(x105222,a923),a923,x105222),f87(x105222)),f331(f331(f8(f935(x105222,f935(x105222,a923)),f935(x105222,a923),x105222),f331(f8(f935(x105222,a923),a923,x105222),f87(x105222))),f331(f331(f7(x105222,f935(x105222,f935(x105222,a923)),f935(x105222,f935(x105222,a923))),f331(f331(f8(f935(x105222,f935(f935(x105222,a923),f935(x105222,a923))),f935(f935(x105222,f935(x105222,a923)),f935(x105222,f935(x105222,a923))),x105222),f18(x105222,f935(x105222,a923),f935(x105222,a923))),f331(f331(f8(f935(x105222,f935(x105222,f935(a923,a923))),f935(x105222,f935(f935(x105222,a923),f935(x105222,a923))),x105222),f331(f8(f935(x105222,f935(a923,a923)),f935(f935(x105222,a923),f935(x105222,a923)),x105222),f18(x105222,a923,a923))),f331(f331(f8(f935(x105222,f935(x105222,a923)),f935(x105222,f935(x105222,f935(a923,a923))),x105222),f331(f8(f935(x105222,a923),f935(x105222,f935(a923,a923)),x105222),f331(f8(a923,f935(a923,a923),x105222),a329))),f331(f331(f7(x105222,f935(x105222,f935(x105222,x105222)),f935(x105222,f935(x105222,a923))),f331(f331(f8(f935(f935(x105222,x105222),f935(x105222,a923)),f935(f935(x105222,f935(x105222,x105222)),f935(x105222,f935(x105222,a923))),x105222),f8(f935(x105222,x105222),f935(x105222,a923),x105222)),f331(f331(f8(f935(x105222,a923),f935(f935(x105222,x105222),f935(x105222,a923)),x105222),f8(x105222,a923,x105222)),a328))),f105(x105222)))))),f331(f331(f7(x105222,f935(x105222,a923),f935(x105222,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x105222,a923),f935(x105222,a923)),x105222),f8(a923,a923,x105222)),f331(f331(f8(a923,f935(a923,a923),x105222),a329),f331(f331(f7(x105222,f935(x105222,a923),a923),f333(x105222)),x105223)))),f331(f331(f7(x105222,f935(x105222,a923),a923),f333(x105222)),x105221))))))),f331(f331(f105(x105222),f10(x105222,x105223)),f10(x105222,x105221)))
% 204.32/204.33 [10523]~P109(x105232)+E(x105231,f192(f935(x105232,a923)))+E(x105233,f192(f935(x105232,a923)))+~P107(f331(f61(x105232),x105231))+~P107(f331(f61(x105232),x105233))+E(f12(x105232,f238(x105232),f331(f266(x105232),f331(f331(f8(f935(x105232,a923),a923,x105232),f87(x105232)),f331(f331(f8(f935(x105232,f935(x105232,a923)),f935(x105232,a923),x105232),f331(f8(f935(x105232,a923),a923,x105232),f87(x105232))),f331(f331(f7(x105232,f935(x105232,f935(x105232,a923)),f935(x105232,f935(x105232,a923))),f331(f331(f8(f935(x105232,f935(f935(x105232,a923),f935(x105232,a923))),f935(f935(x105232,f935(x105232,a923)),f935(x105232,f935(x105232,a923))),x105232),f18(x105232,f935(x105232,a923),f935(x105232,a923))),f331(f331(f8(f935(x105232,f935(x105232,f935(a923,a923))),f935(x105232,f935(f935(x105232,a923),f935(x105232,a923))),x105232),f331(f8(f935(x105232,f935(a923,a923)),f935(f935(x105232,a923),f935(x105232,a923)),x105232),f18(x105232,a923,a923))),f331(f331(f8(f935(x105232,f935(x105232,a923)),f935(x105232,f935(x105232,f935(a923,a923))),x105232),f331(f8(f935(x105232,a923),f935(x105232,f935(a923,a923)),x105232),f331(f8(a923,f935(a923,a923),x105232),a329))),f331(f331(f7(x105232,f935(x105232,f935(x105232,x105232)),f935(x105232,f935(x105232,a923))),f331(f331(f8(f935(f935(x105232,x105232),f935(x105232,a923)),f935(f935(x105232,f935(x105232,x105232)),f935(x105232,f935(x105232,a923))),x105232),f8(f935(x105232,x105232),f935(x105232,a923),x105232)),f331(f331(f8(f935(x105232,a923),f935(f935(x105232,x105232),f935(x105232,a923)),x105232),f8(x105232,a923,x105232)),a328))),f237(x105232)))))),f331(f331(f7(x105232,f935(x105232,a923),f935(x105232,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x105232,a923),f935(x105232,a923)),x105232),f8(a923,a923,x105232)),f331(f331(f8(a923,f935(a923,a923),x105232),a329),f331(f331(f7(x105232,f935(x105232,a923),a923),f333(x105232)),x105233)))),f331(f331(f7(x105232,f935(x105232,a923),a923),f333(x105232)),x105231))))))),f331(f331(f237(x105232),f12(x105232,f238(x105232),x105233)),f12(x105232,f238(x105232),x105231)))
% 204.32/204.33 [10524]~P109(x105242)+E(x105241,f192(f935(x105242,a923)))+E(x105243,f192(f935(x105242,a923)))+~P107(f331(f61(x105242),x105241))+~P107(f331(f61(x105242),x105243))+E(f13(x105242,f237(x105242),f331(f266(x105242),f331(f331(f8(f935(x105242,a923),a923,x105242),f87(x105242)),f331(f331(f8(f935(x105242,f935(x105242,a923)),f935(x105242,a923),x105242),f331(f8(f935(x105242,a923),a923,x105242),f87(x105242))),f331(f331(f7(x105242,f935(x105242,f935(x105242,a923)),f935(x105242,f935(x105242,a923))),f331(f331(f8(f935(x105242,f935(f935(x105242,a923),f935(x105242,a923))),f935(f935(x105242,f935(x105242,a923)),f935(x105242,f935(x105242,a923))),x105242),f18(x105242,f935(x105242,a923),f935(x105242,a923))),f331(f331(f8(f935(x105242,f935(x105242,f935(a923,a923))),f935(x105242,f935(f935(x105242,a923),f935(x105242,a923))),x105242),f331(f8(f935(x105242,f935(a923,a923)),f935(f935(x105242,a923),f935(x105242,a923)),x105242),f18(x105242,a923,a923))),f331(f331(f8(f935(x105242,f935(x105242,a923)),f935(x105242,f935(x105242,f935(a923,a923))),x105242),f331(f8(f935(x105242,a923),f935(x105242,f935(a923,a923)),x105242),f331(f8(a923,f935(a923,a923),x105242),a329))),f331(f331(f7(x105242,f935(x105242,f935(x105242,x105242)),f935(x105242,f935(x105242,a923))),f331(f331(f8(f935(f935(x105242,x105242),f935(x105242,a923)),f935(f935(x105242,f935(x105242,x105242)),f935(x105242,f935(x105242,a923))),x105242),f8(f935(x105242,x105242),f935(x105242,a923),x105242)),f331(f331(f8(f935(x105242,a923),f935(f935(x105242,x105242),f935(x105242,a923)),x105242),f8(x105242,a923,x105242)),a328))),f238(x105242)))))),f331(f331(f7(x105242,f935(x105242,a923),f935(x105242,a923)),f331(f331(f8(f935(a923,a923),f935(f935(x105242,a923),f935(x105242,a923)),x105242),f8(a923,a923,x105242)),f331(f331(f8(a923,f935(a923,a923),x105242),a329),f331(f331(f7(x105242,f935(x105242,a923),a923),f333(x105242)),x105243)))),f331(f331(f7(x105242,f935(x105242,a923),a923),f333(x105242)),x105241))))))),f331(f331(f238(x105242),f13(x105242,f237(x105242),x105243)),f13(x105242,f237(x105242),x105241)))
% 204.32/204.33 [7444]~P127(x74443)+E(x74441,x74442)+~E(f331(f331(f248(x74443),x74441),x74444),f331(f331(f248(x74443),x74442),x74444))+~P107(f331(f331(f239(x74443),f2(x74443)),x74442))+~P107(f331(f331(f239(x74443),f2(x74443)),x74441))+~P107(f331(f331(f240(a927),f2(a927)),x74444))
% 204.32/204.33 [7716]~P109(x77162)+E(x77161,f192(f935(x77162,a923)))+~P107(f331(f61(x77162),x77161))+~P107(f331(f331(f333(x77162),x77164),x77161))+P107(f331(f331(f239(x77162),x77163),x77164))+~P107(f331(f331(f239(x77162),x77163),f331(f63(x77162,f237(x77162)),x77161)))
% 204.32/204.33 [7717]~P103(x77172)+E(x77171,f192(f935(x77172,a923)))+~P107(f331(f61(x77172),x77171))+~P107(f331(f331(f333(x77172),x77174),x77171))+P107(f331(f331(f239(x77172),x77173),x77174))+~P107(f331(f331(f239(x77172),x77173),f331(f63(x77172,f105(x77172)),x77171)))
% 204.32/204.33 [7718]~P109(x77182)+E(x77181,f192(f935(x77182,a923)))+~P107(f331(f61(x77182),x77181))+~P107(f331(f331(f333(x77182),x77184),x77181))+P107(f331(f331(f240(x77182),x77183),x77184))+~P107(f331(f331(f240(x77182),x77183),f331(f63(x77182,f237(x77182)),x77181)))
% 204.32/204.33 [7620]E(x76201,f2(a1))+E(f331(f331(f36(a1),x76202),x76201),x76203)+~P107(f331(f331(f239(a1),x76204),f2(a1)))+~E(x76202,f331(f331(f80(a1),f331(f331(f81(a1),x76201),x76203)),x76204))+P107(f331(f331(f240(a1),f2(a1)),x76201))+~P107(f331(f331(f240(a1),x76201),x76204))
% 204.32/204.33 [7637]E(f45(a1,x76372,x76371),x76373)+E(x76371,f2(a1))+~P107(f331(f331(f239(a1),x76373),f2(a1)))+~E(x76372,f331(f331(f80(a1),f331(f331(f81(a1),x76371),x76374)),x76373))+P107(f331(f331(f240(a1),f2(a1)),x76371))+~P107(f331(f331(f240(a1),x76371),x76373))
% 204.32/204.33 [7755]E(x77551,f2(a1))+E(f331(f331(f36(a1),x77552),x77551),x77553)+~E(x77552,f331(f331(f80(a1),f331(f331(f81(a1),x77551),x77553)),x77554))+~P107(f331(f331(f239(a1),f2(a1)),x77554))+~P107(f331(f331(f240(a1),f2(a1)),x77551))+~P107(f331(f331(f240(a1),x77554),x77551))
% 204.32/204.33 [7775]E(f45(a1,x77752,x77751),x77753)+E(x77751,f2(a1))+~E(x77752,f331(f331(f80(a1),f331(f331(f81(a1),x77751),x77754)),x77753))+~P107(f331(f331(f239(a1),f2(a1)),x77753))+~P107(f331(f331(f240(a1),f2(a1)),x77751))+~P107(f331(f331(f240(a1),x77753),x77751))
% 204.32/204.33 [7917]~P109(x79172)+E(x79171,f192(f935(x79172,a923)))+~P107(f331(f61(x79172),x79171))+~P107(f331(f331(f333(x79172),x79174),x79171))+~P107(f331(f331(f239(x79172),x79174),x79173))+P107(f331(f331(f239(x79172),f331(f63(x79172,f237(x79172)),x79171)),x79173))
% 204.32/204.33 [7918]~P109(x79182)+E(x79181,f192(f935(x79182,a923)))+~P107(f331(f61(x79182),x79181))+~P107(f331(f331(f240(x79182),x79184),x79183))+~P107(f331(f331(f333(x79182),x79184),x79181))+P107(f331(f331(f240(x79182),f331(f63(x79182,f237(x79182)),x79181)),x79183))
% 204.32/204.33 [8486]~P107(f331(f331(f239(a1),x84864),f2(a1)))+~E(x84861,f331(f331(f80(a1),f331(f331(f81(a1),x84862),x84863)),x84864))+~P107(f331(f331(f239(a1),f2(a1)),x84864))+~P107(f331(f331(f240(a1),x84864),x84862))+~P107(f331(f331(f240(a1),x84862),x84864))+P107(f331(f49(x84861,x84862),f331(f331(f256(a1,a1),x84863),x84864)))
% 204.32/204.33 [8655]~P111(x86551)+P107(f331(f331(f240(f935(x86551,a923)),f307(x86551,x86552,x86553)),f307(x86551,x86554,x86555)))+~P107(f331(f331(f239(x86551),x86554),x86552))+~P107(f331(f331(f239(x86551),x86554),x86555))+~P107(f331(f331(f239(x86551),x86553),x86555))+~P107(f331(f331(f240(x86551),x86553),x86555))
% 204.32/204.33 [8656]~P111(x86561)+P107(f331(f331(f240(f935(x86561,a923)),f307(x86561,x86562,x86563)),f307(x86561,x86564,x86565)))+~P107(f331(f331(f239(x86561),x86563),x86565))+~P107(f331(f331(f239(x86561),x86564),x86565))+~P107(f331(f331(f239(x86561),x86564),x86562))+~P107(f331(f331(f240(x86561),x86564),x86562))
% 204.32/204.33 [9532]P59(x95322,x95323,x95324,x95321)+E(x95321,f192(f935(x95322,a923)))+~P107(f331(f61(x95322),x95324))+~P107(f331(f61(x95322),x95321))+~P107(f331(f331(x95323,f544(x95321,x95324,x95323,x95322)),x95325))+~P107(f331(f331(f333(x95322),x95325),x95321))
% 204.32/204.33 [9533]P59(x95332,x95333,x95334,x95331)+E(x95331,f192(f935(x95332,a923)))+~P107(f331(f61(x95332),x95334))+~P107(f331(f61(x95332),x95331))+~P107(f331(f331(x95333,f806(x95333,x95331,x95334,x95332)),x95335))+~P107(f331(f331(f333(x95332),x95335),x95331))
% 204.32/204.33 [9534]P59(x95342,x95343,x95344,x95341)+E(x95341,f192(f935(x95342,a923)))+~P107(f331(f61(x95342),x95344))+~P107(f331(f61(x95342),x95341))+~P107(f331(f331(x95343,f807(x95341,x95344,x95343,x95342)),x95345))+~P107(f331(f331(f333(x95342),x95345),x95341))
% 204.32/204.33 [9682]~E(x96823,x96825)+~P71(x96821)+~P72(x96821)+~P41(x96823)+E(f331(f331(f6(a1,x96821),x96822),x96823),f331(f331(f6(a1,x96821),x96824),x96825))+P107(f331(f331(f239(a1),f2(a1)),f456(x96822,x96824,x96823,x96825,x96821)))
% 204.32/204.33 [9683]~E(x96833,x96835)+~P71(x96831)+~P72(x96831)+~P41(x96833)+E(f331(f331(f9(a1,x96831),x96832),x96833),f331(f331(f9(a1,x96831),x96834),x96835))+P107(f331(f331(f239(a1),f2(a1)),f457(x96832,x96834,x96833,x96835,x96831)))
% 204.32/204.33 [9865]~E(x98655,x98653)+~P71(x98651)+~P72(x98651)+~P41(x98655)+~E(f331(x98652,f456(x98654,x98652,x98655,x98653,x98651)),f331(x98654,f456(x98654,x98652,x98655,x98653,x98651)))+E(f331(f331(f6(a1,x98651),x98652),x98653),f331(f331(f6(a1,x98651),x98654),x98655))
% 204.32/204.33 [9866]~E(x98665,x98663)+~P71(x98661)+~P72(x98661)+~P41(x98665)+~E(f331(x98662,f457(x98664,x98662,x98665,x98663,x98661)),f331(x98664,f457(x98664,x98662,x98665,x98663,x98661)))+E(f331(f331(f9(a1,x98661),x98662),x98663),f331(f331(f9(a1,x98661),x98664),x98665))
% 204.32/204.33 [9953]~P81(x99533)+E(f331(x99531,x99532),f2(x99533))+~E(f331(f331(f6(x99534,x99533),x99531),x99535),f2(x99533))+~P107(f331(f61(x99534),x99535))+P107(f331(f331(f333(x99534),f350(x99532,x99531,x99535,x99534,x99533)),x99535))+~P107(f331(f331(f333(x99534),x99532),x99535))
% 204.32/204.33 [10081]~P81(x100813)+E(f331(x100811,x100812),f2(x100813))+~E(f331(f331(f6(x100814,x100813),x100811),x100815),f2(x100813))+~P107(f331(f61(x100814),x100815))+~P107(f331(f331(f333(x100814),x100812),x100815))+~P107(f331(f331(f239(x100813),f2(x100813)),f331(x100811,f350(x100812,x100811,x100815,x100814,x100813))))
% 204.32/204.33 [8571]~P138(x85711)+~P107(f331(f331(f239(x85711),x85713),x85715))+~P107(f331(f331(f239(x85711),x85712),x85714))+~P107(f331(f331(f239(x85711),f2(x85711)),x85713))+~P107(f331(f331(f239(x85711),f2(x85711)),x85714))+P107(f331(f331(f239(x85711),f331(f331(f81(x85711),x85712),x85713)),f331(f331(f81(x85711),x85714),x85715)))
% 204.32/204.33 [8572]~P138(x85721)+~P107(f331(f331(f239(x85721),x85723),x85725))+~P107(f331(f331(f239(x85721),x85722),x85724))+~P107(f331(f331(f239(x85721),f2(x85721)),x85723))+~P107(f331(f331(f239(x85721),f2(x85721)),x85722))+P107(f331(f331(f239(x85721),f331(f331(f81(x85721),x85722),x85723)),f331(f331(f81(x85721),x85724),x85725)))
% 204.32/204.33 [8573]~P67(x85731)+~P107(f331(f331(f240(x85731),f2(x85731)),x85735))+~P107(f331(f331(f239(x85731),x85735),x85733))+~P107(f331(f331(f239(x85731),x85732),x85734))+~P107(f331(f331(f239(x85731),f2(x85731)),x85732))+P107(f331(f331(f239(x85731),f331(f331(f294(x85731),x85732),x85733)),f331(f331(f294(x85731),x85734),x85735)))
% 204.32/204.33 [8574]~P131(x85741)+~P107(f331(f331(f239(x85741),x85743),x85745))+~P107(f331(f331(f239(x85741),f2(x85741)),x85742))+~P107(f331(f331(f240(x85741),x85742),x85744))+~P107(f331(f331(f240(x85741),f2(x85741)),x85743))+P107(f331(f331(f240(x85741),f331(f331(f81(x85741),x85742),x85743)),f331(f331(f81(x85741),x85744),x85745)))
% 204.32/204.33 [8575]~P131(x85751)+~P107(f331(f331(f239(x85751),x85752),x85754))+~P107(f331(f331(f239(x85751),f2(x85751)),x85753))+~P107(f331(f331(f240(x85751),x85753),x85755))+~P107(f331(f331(f240(x85751),f2(x85751)),x85752))+P107(f331(f331(f240(x85751),f331(f331(f81(x85751),x85752),x85753)),f331(f331(f81(x85751),x85754),x85755)))
% 204.32/204.33 [8576]~P131(x85761)+~P107(f331(f331(f239(x85761),f2(x85761)),x85763))+~P107(f331(f331(f239(x85761),f2(x85761)),x85762))+~P107(f331(f331(f240(x85761),x85763),x85765))+~P107(f331(f331(f240(x85761),x85762),x85764))+P107(f331(f331(f240(x85761),f331(f331(f81(x85761),x85762),x85763)),f331(f331(f81(x85761),x85764),x85765)))
% 204.32/204.33 [8577]~P131(x85771)+~P107(f331(f331(f239(x85771),f2(x85771)),x85773))+~P107(f331(f331(f240(x85771),x85773),x85775))+~P107(f331(f331(f240(x85771),x85772),x85774))+~P107(f331(f331(f240(x85771),f2(x85771)),x85774))+P107(f331(f331(f240(x85771),f331(f331(f81(x85771),x85772),x85773)),f331(f331(f81(x85771),x85774),x85775)))
% 204.32/204.33 [8578]~P67(x85781)+~P107(f331(f331(f239(x85781),x85785),x85783))+~P107(f331(f331(f239(x85781),f2(x85781)),x85782))+~P107(f331(f331(f240(x85781),x85782),x85784))+~P107(f331(f331(f240(x85781),f2(x85781)),x85785))+P107(f331(f331(f240(x85781),f331(f331(f294(x85781),x85782),x85783)),f331(f331(f294(x85781),x85784),x85785)))
% 204.32/204.33 [8579]~P67(x85791)+~P107(f331(f331(f239(x85791),x85792),x85794))+~P107(f331(f331(f240(x85791),x85795),x85793))+~P107(f331(f331(f240(x85791),f2(x85791)),x85795))+~P107(f331(f331(f240(x85791),f2(x85791)),x85792))+P107(f331(f331(f240(x85791),f331(f331(f294(x85791),x85792),x85793)),f331(f331(f294(x85791),x85794),x85795)))
% 204.32/204.33 [9996]~P72(x99965)+~P85(x99965)+E(x99961,f192(f935(x99962,a923)))+~P107(f331(f61(x99962),x99961))+P107(f331(f331(f333(x99962),f761(x99963,x99964,x99961,x99962,x99965)),x99961))+P107(f331(f331(f240(x99965),f331(f331(f6(x99962,x99965),x99964),x99961)),f331(f331(f6(x99962,x99965),x99963),x99961)))
% 204.32/204.33 [10106]~P72(x101061)+~P87(x101061)+~P107(f331(f61(x101062),x101065))+~P107(f331(f331(f239(x101061),f2(x101061)),f331(x101063,f351(x101063,x101064,x101065,x101062,x101061))))+P107(f331(f331(f239(x101061),f331(f331(f6(x101062,x101061),x101063),x101064)),f331(f331(f6(x101062,x101061),x101063),x101065)))+~P107(f331(f331(f239(f935(x101062,a923)),x101064),x101065))
% 204.32/204.33 [10266]~P72(x102663)+~P85(x102663)+E(x102661,f192(f935(x102662,a923)))+~P107(f331(f61(x102662),x102661))+~P107(f331(f331(f240(x102663),f331(x102664,f761(x102665,x102664,x102661,x102662,x102663))),f331(x102665,f761(x102665,x102664,x102661,x102662,x102663))))+P107(f331(f331(f240(x102663),f331(f331(f6(x102662,x102663),x102664),x102661)),f331(f331(f6(x102662,x102663),x102665),x102661)))
% 204.32/204.33 [7300]~P16(x73002,x73005,x73004)+E(x73001,f192(f935(x73002,a923)))+E(x73003,f192(f935(x73002,a923)))+~P107(f331(f61(x73002),x73001))+~P107(f331(f61(x73002),x73003))+E(f331(x73004,f331(f331(f114(f935(x73002,a923)),x73003),x73001)),f331(f331(x73005,f331(x73004,x73003)),f331(x73004,x73001)))
% 204.32/204.33 [7883]~P149(x78831,x78834,x78833)+P107(f331(x78831,x78832))+~P107(f331(f331(f240(a1),x78834),f2(a1)))+~P107(f331(f331(f239(a1),x78835),f2(a1)))+~E(x78833,f331(f331(f80(a1),f331(f331(f81(a1),x78834),x78832)),x78835))+~P107(f331(f331(f240(a1),x78834),x78835))
% 204.32/204.33 [7884]~P148(x78841,x78844,x78843)+P107(f331(x78841,x78842))+~P107(f331(f331(f240(a1),x78844),f2(a1)))+~P107(f331(f331(f239(a1),x78842),f2(a1)))+~E(x78843,f331(f331(f80(a1),f331(f331(f81(a1),x78844),x78845)),x78842))+~P107(f331(f331(f240(a1),x78844),x78842))
% 204.32/204.33 [7926]~P149(x79261,x79264,x79263)+P107(f331(x79261,x79262))+~E(x79263,f331(f331(f80(a1),f331(f331(f81(a1),x79264),x79262)),x79265))+~P107(f331(f331(f239(a1),f2(a1)),x79265))+~P107(f331(f331(f240(a1),f2(a1)),x79264))+~P107(f331(f331(f240(a1),x79265),x79264))
% 204.32/204.33 [7927]~P148(x79271,x79274,x79273)+P107(f331(x79271,x79272))+~E(x79273,f331(f331(f80(a1),f331(f331(f81(a1),x79274),x79275)),x79272))+~P107(f331(f331(f239(a1),f2(a1)),x79272))+~P107(f331(f331(f240(a1),f2(a1)),x79274))+~P107(f331(f331(f240(a1),x79272),x79274))
% 204.32/204.33 [8874]P107(f331(f331(x88741,x88742),x88743))+~P107(f331(f331(x88741,f331(f331(f36(a1),x88744),x88745)),f45(a1,x88744,x88745)))+~P107(f331(f331(f240(a1),x88745),f2(a1)))+~P107(f331(f331(f239(a1),x88743),f2(a1)))+~E(x88744,f331(f331(f80(a1),f331(f331(f81(a1),x88745),x88742)),x88743))+~P107(f331(f331(f240(a1),x88745),x88743))
% 204.32/204.33 [8883]P107(f331(f331(x88831,x88832),x88833))+~P107(f331(f331(x88831,f331(f331(f36(a1),x88834),x88835)),f45(a1,x88834,x88835)))+~E(x88834,f331(f331(f80(a1),f331(f331(f81(a1),x88835),x88832)),x88833))+~P107(f331(f331(f239(a1),f2(a1)),x88833))+~P107(f331(f331(f240(a1),f2(a1)),x88835))+~P107(f331(f331(f240(a1),x88833),x88835))
% 204.32/204.33 [9144]E(x91441,x91442)+~P56(x91443,x91445,x91444)+~P107(f331(f331(f333(x91443),x91442),x91445))+~P107(f331(f331(f333(x91443),x91441),x91445))+P107(f331(f331(f333(f934(x91443,x91443)),f331(f331(f256(x91443,x91443),x91441),x91442)),x91444))+P107(f331(f331(f333(f934(x91443,x91443)),f331(f331(f256(x91443,x91443),x91442),x91441)),x91444))
% 204.32/204.33 [10023]~P72(x100235)+~P87(x100235)+~P107(f331(f61(x100231),x100234))+P107(f331(f331(f239(x100235),f331(f331(f6(x100231,x100235),x100232),x100233)),f331(f331(f6(x100231,x100235),x100232),x100234)))+~P107(f331(f331(f239(f935(x100231,a923)),x100233),x100234))+P107(f331(f331(f333(x100231),f351(x100232,x100233,x100234,x100231,x100235)),f331(f331(f23(f935(x100231,a923)),x100234),x100233)))
% 204.32/204.33 [10114]E(x101141,f192(f935(x101142,a923)))+~P107(f331(f61(x101142),x101143))+~P107(f331(f61(x101142),x101141))+P107(f331(f331(f333(f934(f935(x101142,a923),f935(x101142,a923))),f331(f331(f256(f935(x101142,a923),f935(x101142,a923)),x101143),x101141)),f322(x101142,x101144)))+~P107(f331(f331(f333(x101142),x101145),x101141))+~P107(f331(f331(f333(f934(x101142,x101142)),f331(f331(f256(x101142,x101142),f546(x101144,x101141,x101143,x101142)),x101145)),x101144))
% 204.32/204.33 [10115]E(x101151,f192(f935(x101152,a923)))+~P107(f331(f61(x101152),x101153))+~P107(f331(f61(x101152),x101151))+P107(f331(f331(f333(f934(f935(x101152,a923),f935(x101152,a923))),f331(f331(f256(f935(x101152,a923),f935(x101152,a923)),x101153),x101151)),f322(x101152,x101154)))+~P107(f331(f331(f333(x101152),x101155),x101151))+~P107(f331(f331(f333(f934(x101152,x101152)),f331(f331(f256(x101152,x101152),f609(x101154,x101151,x101153,x101152)),x101155)),x101154))
% 204.32/204.33 [10270]~P81(x102701)+~E(f331(f331(f6(x102705,x102701),x102702),x102706),x102704)+~P107(f331(f61(x102705),x102706))+P107(f331(f331(f333(x102705),f352(x102703,x102704,x102702,x102706,x102705,x102701)),x102706))+P107(f331(f331(f239(x102701),f331(x102702,x102703)),x102704))+~P107(f331(f331(f333(x102705),x102703),x102706))
% 204.32/204.33 [10315]~P81(x103151)+~E(f331(f331(f6(x103155,x103151),x103152),x103156),x103154)+~P107(f331(f61(x103155),x103156))+~P107(f331(f331(f333(x103155),x103153),x103156))+~P107(f331(f331(f239(x103151),f2(x103151)),f331(x103152,f352(x103153,x103154,x103152,x103156,x103155,x103151))))+P107(f331(f331(f239(x103151),f331(x103152,x103153)),x103154))
% 204.32/204.33 [10465]~E(x104655,x104658)+~E(x104654,x104657)+~P110(x104651)+~P72(x104652)+E(f331(f331(f6(x104651,x104652),x104653),f331(f306(x104651,x104654),x104655)),f331(f331(f6(x104651,x104652),x104656),f331(f306(x104651,x104657),x104658)))+P107(f331(f331(f239(x104651),x104654),f612(x104653,x104656,x104655,x104658,x104654,x104657,x104651,x104652)))
% 204.32/204.33 [10482]~E(x104827,x104824)+~E(x104828,x104825)+~P110(x104821)+~P72(x104822)+~E(f331(x104823,f612(x104826,x104823,x104828,x104825,x104827,x104824,x104821,x104822)),f331(x104826,f612(x104826,x104823,x104828,x104825,x104827,x104824,x104821,x104822)))+E(f331(f331(f6(x104821,x104822),x104823),f331(f306(x104821,x104824),x104825)),f331(f331(f6(x104821,x104822),x104826),f331(f306(x104821,x104827),x104828)))
% 204.32/204.33 [10485]~E(x104854,x104857)+~E(x104855,x104858)+~P110(x104851)+~P72(x104852)+E(f331(f331(f6(x104851,x104852),x104853),f331(f306(x104851,x104854),x104855)),f331(f331(f6(x104851,x104852),x104856),f331(f306(x104851,x104857),x104858)))+P107(f331(f331(f240(x104851),f612(x104853,x104856,x104855,x104858,x104854,x104857,x104851,x104852)),x104855))
% 204.32/204.33 [10121]~P7(x101215,x101219,x101216)+~P7(x101211,x1012110,x101213)+~P11(x101211,x101215,f935(x101212,a923),x101213,x101216,x101218)+~P107(f331(f331(f333(x101215),x101217),x101219))+~P107(f331(f331(f333(x101211),x101214),x1012110))+E(f331(f331(f39(x101211,f935(x101212,a923)),f331(f289(x101211,x101211,x101213),f331(f331(f313(x101211),x101214),f192(f935(x101211,a923))))),f331(f331(f8(f935(x101215,f935(x101212,a923)),f935(x101212,a923),x101211),f331(f39(x101215,f935(x101212,a923)),f331(f289(x101215,x101215,x101216),f331(f331(f313(x101215),x101217),f192(f935(x101215,a923)))))),x101218)),f331(f331(x101218,x101214),x101217))
% 204.32/204.33 [5834]~P109(x58343)+~P12(x58343,x58342)+~P12(x58343,x58341)+E(x58341,x58342)+~E(f331(f176(x58343),x58341),f331(f176(x58343),x58342))+~P107(f331(f141(x58343),x58342))+~P107(f331(f141(x58343),x58341))
% 204.32/204.33 [5165]~P130(x51652)+~P135(x51652)+~P146(x51652)+~P117(x51652)+~E(x51653,f2(x51652))+E(x51651,f2(a927))+E(f331(f331(f248(x51652),x51653),x51651),f2(x51652))
% 204.32/204.33 [9405]E(x94051,f2(a927))+~E(x94052,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x94053)),x94051)),f331(f260(a927,a927),x94053)))+P107(f331(f48(x94052,x94051),x94053))+~P107(f331(f331(f239(a927),f331(f260(a927,a927),x94053)),f2(a927)))+~P107(f331(f331(f239(a927),f2(a927)),f331(f260(a927,a927),x94053)))+~P107(f331(f331(f240(a927),x94051),f331(f260(a927,a927),x94053)))+~P107(f331(f331(f240(a927),f331(f260(a927,a927),x94053)),x94051))
% 204.32/204.33 [9414]~E(f331(f255(a927,a927),x94143),f2(a927))+~E(x94141,f331(f331(f80(a927),f331(f331(f81(a927),f331(f255(a927,a927),x94143)),x94142)),f331(f260(a927,a927),x94143)))+P107(f331(f48(x94141,x94142),x94143))+~P107(f331(f331(f239(a927),f331(f260(a927,a927),x94143)),f2(a927)))+~P107(f331(f331(f239(a927),f2(a927)),f331(f260(a927,a927),x94143)))+~P107(f331(f331(f240(a927),x94142),f331(f260(a927,a927),x94143)))+~P107(f331(f331(f240(a927),f331(f260(a927,a927),x94143)),x94142))
% 204.32/204.33 [8241]~P69(x82412)+E(x82411,f192(f935(x82412,a923)))+E(x82413,f192(f935(x82412,a923)))+~P107(f331(f61(x82412),x82411))+~P107(f331(f61(x82412),x82413))+~E(f331(f331(f105(f935(x82412,a923)),x82413),x82411),f192(f935(x82412,a923)))+E(f331(f331(f81(x82412),f331(f63(x82412,f81(x82412)),x82413)),f331(f63(x82412,f81(x82412)),x82411)),f331(f63(x82412,f81(x82412)),f331(f331(f114(f935(x82412,a923)),x82413),x82411)))
% 204.32/204.33 [8024]E(x80241,f2(a1))+E(f331(f331(f36(a1),x80242),x80241),x80243)+~P107(f331(f331(f239(a1),x80244),f2(a1)))+~E(x80242,f331(f331(f80(a1),f331(f331(f81(a1),x80241),x80243)),x80244))+~P107(f331(f331(f239(a1),f2(a1)),x80244))+~P107(f331(f331(f240(a1),x80244),x80241))+~P107(f331(f331(f240(a1),x80241),x80244))
% 204.32/204.33 [8032]E(f45(a1,x80322,x80321),x80323)+E(x80321,f2(a1))+~P107(f331(f331(f239(a1),x80323),f2(a1)))+~E(x80322,f331(f331(f80(a1),f331(f331(f81(a1),x80321),x80324)),x80323))+~P107(f331(f331(f239(a1),f2(a1)),x80323))+~P107(f331(f331(f240(a1),x80323),x80321))+~P107(f331(f331(f240(a1),x80321),x80323))
% 204.32/204.33 [7936]~P17(x79362,x79365,x79364)+E(x79361,f192(f935(x79362,a923)))+E(x79363,f192(f935(x79362,a923)))+~P107(f331(f61(x79362),x79361))+~P107(f331(f61(x79362),x79363))+~E(f331(f331(f105(f935(x79362,a923)),x79363),x79361),f192(f935(x79362,a923)))+E(f331(x79364,f331(f331(f114(f935(x79362,a923)),x79363),x79361)),f331(f331(x79365,f331(x79364,x79363)),f331(x79364,x79361)))
% 204.32/204.33 [9655]~P24(x96553,x96551,x96555,x96554)+~P24(x96551,x96553,x96556,x96552)+E(f331(f35(x96551),x96552),f331(f35(x96553),x96554))+~P107(f331(f61(x96553),x96554))+~P107(f331(f61(x96551),x96552))+~P107(f331(f331(f239(f935(x96553,a923)),f331(f314(x96551,x96553,x96556),x96552)),x96554))+~P107(f331(f331(f239(f935(x96551,a923)),f331(f314(x96553,x96551,x96555),x96554)),x96552))
% 204.32/204.33 [9599]~P107(f331(f331(f240(a1),f331(f331(f80(a1),f331(f331(f81(a1),x95995),x95991)),x95996)),f2(a1)))+~E(f331(f331(f80(a1),f331(f331(f81(a1),x95993),x95992)),x95994),f331(f331(f80(a1),f331(f331(f81(a1),x95995),x95991)),x95996))+~P107(f331(f331(f239(a1),f2(a1)),x95996))+~P107(f331(f331(f240(a1),f2(a1)),x95995))+~P107(f331(f331(f239(a1),x95995),x95993))+~P107(f331(f331(f240(a1),x95994),x95993))+P107(f331(f331(f239(a1),x95991),x95992))
% 204.32/204.33 [9355]~E(f331(f331(f80(a1),f331(f331(f81(a1),x93553),x93551)),x93554),f331(f331(f80(a1),f331(f331(f81(a1),x93555),x93552)),x93556))+~P107(f331(f331(f239(a1),f2(a1)),x93554))+~P107(f331(f331(f240(a1),f2(a1)),x93555))+~P107(f331(f331(f239(a1),x93555),x93553))+~P107(f331(f331(f240(a1),x93556),x93555))+P107(f331(f331(f239(a1),x93551),x93552))+~P107(f331(f331(f239(a1),f2(a1)),f331(f331(f80(a1),f331(f331(f81(a1),x93555),x93552)),x93556)))
% 204.32/204.33 [9537]~P133(x95371)+~E(f331(f331(f80(x95371),x95372),x95374),f78(x95371))+~P107(f331(f331(f239(x95371),x95375),x95376))+~P107(f331(f331(f239(x95371),x95373),x95376))+~P107(f331(f331(f239(x95371),f2(x95371)),x95374))+~P107(f331(f331(f239(x95371),f2(x95371)),x95372))+P107(f331(f331(f239(x95371),f331(f331(f80(x95371),f331(f331(f81(x95371),x95372),x95373)),f331(f331(f81(x95371),x95374),x95375))),x95376))
% 204.32/204.33 [9538]~P134(x95381)+~E(f331(f331(f80(x95381),x95382),x95384),f78(x95381))+~P107(f331(f331(f239(x95381),f2(x95381)),x95384))+~P107(f331(f331(f239(x95381),f2(x95381)),x95382))+~P107(f331(f331(f240(x95381),x95385),x95386))+~P107(f331(f331(f240(x95381),x95383),x95386))+P107(f331(f331(f240(x95381),f331(f331(f80(x95381),f331(f331(f81(x95381),x95382),x95383)),f331(f331(f81(x95381),x95384),x95385))),x95386))
% 204.32/204.33 [10366]~P7(x103667,x103666,x103665)+E(x103661,x103662)+~P10(x103667,f935(x103664,a923),x103665,x103663)+E(f331(x103663,f529(x103661,x103662,x103663,x103664,x103665,x103666,x103667)),f331(x103663,f530(x103661,x103662,x103663,x103664,x103665,x103666,x103667)))+~E(f331(f331(f39(x103667,f935(x103664,a923)),x103661),x103663),f331(f331(f39(x103667,f935(x103664,a923)),x103662),x103663))+~P107(f331(f331(f333(f935(x103667,a923)),x103662),f331(f331(f60(x103667),x103666),x103665)))+~P107(f331(f331(f333(f935(x103667,a923)),x103661),f331(f331(f60(x103667),x103666),x103665)))
% 204.32/204.33 [10418]~P7(x104183,x104187,x104186)+E(x104181,x104182)+~P10(x104183,f935(x104185,a923),x104186,x104184)+~E(f331(f331(f39(x104183,f935(x104185,a923)),x104181),x104184),f331(f331(f39(x104183,f935(x104185,a923)),x104182),x104184))+P107(f331(f331(f333(x104183),f530(x104181,x104182,x104184,x104185,x104186,x104187,x104183)),x104187))+~P107(f331(f331(f333(f935(x104183,a923)),x104182),f331(f331(f60(x104183),x104187),x104186)))+~P107(f331(f331(f333(f935(x104183,a923)),x104181),f331(f331(f60(x104183),x104187),x104186)))
% 204.32/204.33 [10419]~P7(x104193,x104197,x104196)+E(x104191,x104192)+~P10(x104193,f935(x104195,a923),x104196,x104194)+~E(f331(f331(f39(x104193,f935(x104195,a923)),x104191),x104194),f331(f331(f39(x104193,f935(x104195,a923)),x104192),x104194))+P107(f331(f331(f333(x104193),f529(x104191,x104192,x104194,x104195,x104196,x104197,x104193)),x104197))+~P107(f331(f331(f333(f935(x104193,a923)),x104192),f331(f331(f60(x104193),x104197),x104196)))+~P107(f331(f331(f333(f935(x104193,a923)),x104191),f331(f331(f60(x104193),x104197),x104196)))
% 204.32/204.33 [10501]E(x105011,x105012)+~P7(x105013,x105016,x105017)+~P10(x105013,f935(x105014,a923),x105017,x105015)+~E(f331(f331(f39(x105013,f935(x105014,a923)),x105011),x105015),f331(f331(f39(x105013,f935(x105014,a923)),x105012),x105015))+~P107(f331(f331(f333(f934(x105013,x105013)),f331(f331(f256(x105013,x105013),f530(x105011,x105012,x105015,x105014,x105017,x105016,x105013)),f529(x105011,x105012,x105015,x105014,x105017,x105016,x105013))),x105017))+~P107(f331(f331(f333(f935(x105013,a923)),x105012),f331(f331(f60(x105013),x105016),x105017)))+~P107(f331(f331(f333(f935(x105013,a923)),x105011),f331(f331(f60(x105013),x105016),x105017)))
% 204.32/204.33 [9354]~P7(x93541,x93547,x93544)+~E(x93545,x93546)+~P107(f331(f331(f333(x93541),x93543),x93546))+~P107(f331(f331(f333(x93541),x93542),x93545))+~P107(f331(f331(f333(f935(x93541,a923)),x93546),f331(f331(f60(x93541),x93547),x93544)))+~P107(f331(f331(f333(f935(x93541,a923)),x93545),f331(f331(f60(x93541),x93547),x93544)))+P107(f331(f331(f333(f934(x93541,x93541)),f331(f331(f256(x93541,x93541),x93542),x93543)),x93544))
% 204.32/204.33 [9493]E(x94931,x94932)+~P7(x94933,x94934,x94935)+~P107(f331(f331(f333(x94933),x94936),x94932))+~P107(f331(f331(f333(x94933),x94937),x94931))+~P107(f331(f331(f333(f935(x94933,a923)),x94932),f331(f331(f60(x94933),x94934),x94935)))+~P107(f331(f331(f333(f935(x94933,a923)),x94931),f331(f331(f60(x94933),x94934),x94935)))+~P107(f331(f331(f333(f934(x94933,x94933)),f331(f331(f256(x94933,x94933),x94937),x94936)),x94935))
% 204.32/204.33 [10530]~P7(x105309,x105308,x105307)+~P7(x105301,x1053011,x1053010)+~P11(x105301,x105309,f935(x105306,a923),x1053010,x105307,x105305)+P107(f331(f331(f333(x105301),f532(x105302,x105303,x105304,x105305,x105306,x105307,x105308,x105309,x1053010,x1053011,x105301)),x1053011))+~P107(f331(f331(f333(f935(x105309,a923)),x105303),f331(f331(f60(x105309),x105308),x105307)))+~P107(f331(f331(f333(f935(x105301,a923)),x105304),f331(f331(f60(x105301),x1053011),x1053010)))+P107(f331(f331(f333(f935(x105306,a923)),f331(f331(f39(x105301,f935(x105306,a923)),x105304),f331(f331(f8(f935(x105309,f935(x105306,a923)),f935(x105306,a923),x105301),f331(f39(x105309,f935(x105306,a923)),x105303)),x105305))),x105302))
% 204.32/204.33 [10531]~P7(x1053111,x1053110,x105319)+~P7(x105311,x105318,x105317)+~P11(x1053111,x105311,f935(x105316,a923),x105319,x105317,x105315)+P107(f331(f331(f333(x105311),f533(x105312,x105313,x105314,x105315,x105316,x105317,x105318,x105311,x105319,x1053110,x1053111)),x105318))+~P107(f331(f331(f333(f935(x1053111,a923)),x105314),f331(f331(f60(x1053111),x1053110),x105319)))+~P107(f331(f331(f333(f935(x105311,a923)),x105313),f331(f331(f60(x105311),x105318),x105317)))+P107(f331(f331(f333(f935(x105316,a923)),f331(f331(f39(x1053111,f935(x105316,a923)),x105314),f331(f331(f8(f935(x105311,f935(x105316,a923)),f935(x105316,a923),x1053111),f331(f39(x105311,f935(x105316,a923)),x105313)),x105315))),x105312))
% 204.32/204.33 [10534]~P7(x105342,x105348,x105349)+~P7(x105344,x1053410,x1053411)+~P11(x105342,x105344,f935(x105341,a923),x105349,x1053411,x105346)+~P107(f331(f331(f333(f935(x105342,a923)),x105343),f331(f331(f60(x105342),x105348),x105349)))+~P107(f331(f331(f333(f935(x105344,a923)),x105345),f331(f331(f60(x105344),x1053410),x1053411)))+~P107(f331(f331(f333(f935(x105341,a923)),f331(f331(x105346,f532(x105347,x105345,x105343,x105346,x105341,x1053411,x1053410,x105344,x105349,x105348,x105342)),f533(x105347,x105345,x105343,x105346,x105341,x1053411,x1053410,x105344,x105349,x105348,x105342))),x105347))+P107(f331(f331(f333(f935(x105341,a923)),f331(f331(f39(x105342,f935(x105341,a923)),x105343),f331(f331(f8(f935(x105344,f935(x105341,a923)),f935(x105341,a923),x105342),f331(f39(x105344,f935(x105341,a923)),x105345)),x105346))),x105347))
% 204.32/204.33 [9390]E(x93901,x93902)+~P109(x93904)+~P24(x93903,x93904,x93905,f331(f331(f114(f935(x93903,a923)),f331(f176(x93903),x93901)),f331(f176(x93903),x93902)))+~E(f331(f176(x93903),x93901),f331(f176(x93903),x93902))+~P12(x93904,f331(f331(f158(x93903,x93904),x93905),x93902))+~P12(x93904,f331(f331(f158(x93903,x93904),x93905),x93901))+~P107(f331(f141(x93904),f331(f331(f158(x93903,x93904),x93905),x93902)))+~P107(f331(f141(x93904),f331(f331(f158(x93903,x93904),x93905),x93901)))
% 204.32/204.33 %EqnAxiom
% 204.32/204.33 [1]E(x11,x11)
% 204.32/204.33 [2]E(x22,x21)+~E(x21,x22)
% 204.32/204.33 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 204.32/204.33 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 204.32/204.33 [5]~E(x51,x52)+E(f104(x51),f104(x52))
% 204.32/204.33 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 204.32/204.33 [7]~E(x71,x72)+E(f192(x71),f192(x72))
% 204.32/204.33 [8]~E(x81,x82)+E(f331(x81,x83),f331(x82,x83))
% 204.32/204.33 [9]~E(x91,x92)+E(f331(x93,x91),f331(x93,x92))
% 204.32/204.33 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 204.32/204.33 [11]~E(x111,x112)+E(f87(x111),f87(x112))
% 204.32/204.33 [12]~E(x121,x122)+E(f105(x121),f105(x122))
% 204.32/204.33 [13]~E(x131,x132)+E(f237(x131),f237(x132))
% 204.32/204.33 [14]~E(x141,x142)+E(f114(x141),f114(x142))
% 204.32/204.33 [15]~E(x151,x152)+E(f238(x151),f238(x152))
% 204.32/204.33 [16]~E(x161,x162)+E(f106(x161),f106(x162))
% 204.32/204.33 [17]~E(x171,x172)+E(f32(x171),f32(x172))
% 204.32/204.33 [18]~E(x181,x182)+E(f84(x181),f84(x182))
% 204.32/204.33 [19]~E(x191,x192)+E(f935(x191,x193),f935(x192,x193))
% 204.32/204.33 [20]~E(x201,x202)+E(f935(x203,x201),f935(x203,x202))
% 204.32/204.33 [21]~E(x211,x212)+E(f266(x211),f266(x212))
% 204.32/204.33 [22]~E(x221,x222)+E(f533(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f533(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 204.32/204.33 [23]~E(x231,x232)+E(f533(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f533(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 204.32/204.33 [24]~E(x241,x242)+E(f533(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f533(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 204.32/204.33 [25]~E(x251,x252)+E(f533(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f533(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512))
% 204.32/204.33 [26]~E(x261,x262)+E(f533(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f533(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612))
% 204.32/204.33 [27]~E(x271,x272)+E(f533(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f533(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712))
% 204.32/204.33 [28]~E(x281,x282)+E(f533(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f533(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812))
% 204.32/204.33 [29]~E(x291,x292)+E(f533(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f533(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912))
% 204.32/204.33 [30]~E(x301,x302)+E(f533(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f533(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012))
% 204.32/204.33 [31]~E(x311,x312)+E(f533(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f533(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112))
% 204.32/204.33 [32]~E(x321,x322)+E(f533(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f533(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322))
% 204.32/204.33 [33]~E(x331,x332)+E(f78(x331),f78(x332))
% 204.32/204.33 [34]~E(x341,x342)+E(f8(x341,x343,x344),f8(x342,x343,x344))
% 204.32/204.33 [35]~E(x351,x352)+E(f8(x353,x351,x354),f8(x353,x352,x354))
% 204.32/204.33 [36]~E(x361,x362)+E(f8(x363,x364,x361),f8(x363,x364,x362))
% 204.32/204.33 [37]~E(x371,x372)+E(f532(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f532(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 204.32/204.33 [38]~E(x381,x382)+E(f532(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f532(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 204.32/204.33 [39]~E(x391,x392)+E(f532(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f532(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 204.32/204.33 [40]~E(x401,x402)+E(f532(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f532(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 204.32/204.33 [41]~E(x411,x412)+E(f532(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f532(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 204.32/204.33 [42]~E(x421,x422)+E(f532(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f532(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 204.32/204.33 [43]~E(x431,x432)+E(f532(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f532(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 204.32/204.33 [44]~E(x441,x442)+E(f532(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f532(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 204.32/204.33 [45]~E(x451,x452)+E(f532(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f532(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 204.32/204.33 [46]~E(x461,x462)+E(f532(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f532(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 204.32/204.33 [47]~E(x471,x472)+E(f532(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f532(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 204.32/204.33 [48]~E(x481,x482)+E(f4(x481),f4(x482))
% 204.32/204.33 [49]~E(x491,x492)+E(f333(x491),f333(x492))
% 204.32/204.33 [50]~E(x501,x502)+E(f928(x501),f928(x502))
% 204.32/204.33 [51]~E(x511,x512)+E(f115(x511),f115(x512))
% 204.32/204.33 [52]~E(x521,x522)+E(f313(x521),f313(x522))
% 204.32/204.33 [53]~E(x531,x532)+E(f926(x531),f926(x532))
% 204.32/204.33 [54]~E(x541,x542)+E(f931(x541),f931(x542))
% 204.32/204.33 [55]~E(x551,x552)+E(f240(x551),f240(x552))
% 204.32/204.33 [56]~E(x561,x562)+E(f929(x561),f929(x562))
% 204.32/204.33 [57]~E(x571,x572)+E(f79(x571),f79(x572))
% 204.32/204.33 [58]~E(x581,x582)+E(f193(x581),f193(x582))
% 204.32/204.33 [59]~E(x591,x592)+E(f255(x591,x593),f255(x592,x593))
% 204.32/204.33 [60]~E(x601,x602)+E(f255(x603,x601),f255(x603,x602))
% 204.32/204.33 [61]~E(x611,x612)+E(f779(x611,x613,x614,x615),f779(x612,x613,x614,x615))
% 204.32/204.33 [62]~E(x621,x622)+E(f779(x623,x621,x624,x625),f779(x623,x622,x624,x625))
% 204.32/204.33 [63]~E(x631,x632)+E(f779(x633,x634,x631,x635),f779(x633,x634,x632,x635))
% 204.32/204.33 [64]~E(x641,x642)+E(f779(x643,x644,x645,x641),f779(x643,x644,x645,x642))
% 204.32/204.33 [65]~E(x651,x652)+E(f107(x651),f107(x652))
% 204.32/204.33 [66]~E(x661,x662)+E(f38(x661,x663),f38(x662,x663))
% 204.32/204.33 [67]~E(x671,x672)+E(f38(x673,x671),f38(x673,x672))
% 204.32/204.33 [68]~E(x681,x682)+E(f10(x681,x683),f10(x682,x683))
% 204.32/204.33 [69]~E(x691,x692)+E(f10(x693,x691),f10(x693,x692))
% 204.32/204.33 [70]~E(x701,x702)+E(f294(x701),f294(x702))
% 204.32/204.33 [71]~E(x711,x712)+E(f548(x711,x713,x714,x715),f548(x712,x713,x714,x715))
% 204.32/204.33 [72]~E(x721,x722)+E(f548(x723,x721,x724,x725),f548(x723,x722,x724,x725))
% 204.32/204.33 [73]~E(x731,x732)+E(f548(x733,x734,x731,x735),f548(x733,x734,x732,x735))
% 204.32/204.33 [74]~E(x741,x742)+E(f548(x743,x744,x745,x741),f548(x743,x744,x745,x742))
% 204.32/204.33 [75]~E(x751,x752)+E(f934(x751,x753),f934(x752,x753))
% 204.32/204.33 [76]~E(x761,x762)+E(f934(x763,x761),f934(x763,x762))
% 204.32/204.33 [77]~E(x771,x772)+E(f5(x771),f5(x772))
% 204.32/204.33 [78]~E(x781,x782)+E(f141(x781),f141(x782))
% 204.32/204.33 [79]~E(x791,x792)+E(f299(x791,x793,x794),f299(x792,x793,x794))
% 204.32/204.33 [80]~E(x801,x802)+E(f299(x803,x801,x804),f299(x803,x802,x804))
% 204.32/204.33 [81]~E(x811,x812)+E(f299(x813,x814,x811),f299(x813,x814,x812))
% 204.32/204.33 [82]~E(x821,x822)+E(f309(x821,x823,x824),f309(x822,x823,x824))
% 204.32/204.33 [83]~E(x831,x832)+E(f309(x833,x831,x834),f309(x833,x832,x834))
% 204.32/204.33 [84]~E(x841,x842)+E(f309(x843,x844,x841),f309(x843,x844,x842))
% 204.32/204.33 [85]~E(x851,x852)+E(f291(x851),f291(x852))
% 204.32/204.33 [86]~E(x861,x862)+E(f7(x861,x863,x864),f7(x862,x863,x864))
% 204.32/204.33 [87]~E(x871,x872)+E(f7(x873,x871,x874),f7(x873,x872,x874))
% 204.32/204.33 [88]~E(x881,x882)+E(f7(x883,x884,x881),f7(x883,x884,x882))
% 204.32/204.33 [89]~E(x891,x892)+E(f76(x891),f76(x892))
% 204.32/204.33 [90]~E(x901,x902)+E(f60(x901),f60(x902))
% 204.32/204.33 [91]~E(x911,x912)+E(f307(x911,x913,x914),f307(x912,x913,x914))
% 204.32/204.33 [92]~E(x921,x922)+E(f307(x923,x921,x924),f307(x923,x922,x924))
% 204.32/204.33 [93]~E(x931,x932)+E(f307(x933,x934,x931),f307(x933,x934,x932))
% 204.32/204.33 [94]~E(x941,x942)+E(f248(x941),f248(x942))
% 204.32/204.33 [95]~E(x951,x952)+E(f11(x951,x953),f11(x952,x953))
% 204.32/204.33 [96]~E(x961,x962)+E(f11(x963,x961),f11(x963,x962))
% 204.32/204.33 [97]~E(x971,x972)+E(f239(x971),f239(x972))
% 204.32/204.33 [98]~E(x981,x982)+E(f73(x981,x983,x984,x985),f73(x982,x983,x984,x985))
% 204.32/204.33 [99]~E(x991,x992)+E(f73(x993,x991,x994,x995),f73(x993,x992,x994,x995))
% 204.32/204.33 [100]~E(x1001,x1002)+E(f73(x1003,x1004,x1001,x1005),f73(x1003,x1004,x1002,x1005))
% 204.32/204.33 [101]~E(x1011,x1012)+E(f73(x1013,x1014,x1015,x1011),f73(x1013,x1014,x1015,x1012))
% 204.32/204.33 [102]~E(x1021,x1022)+E(f61(x1021),f61(x1022))
% 204.32/204.33 [103]~E(x1031,x1032)+E(f473(x1031,x1033,x1034,x1035,x1036),f473(x1032,x1033,x1034,x1035,x1036))
% 204.32/204.33 [104]~E(x1041,x1042)+E(f473(x1043,x1041,x1044,x1045,x1046),f473(x1043,x1042,x1044,x1045,x1046))
% 204.32/204.33 [105]~E(x1051,x1052)+E(f473(x1053,x1054,x1051,x1055,x1056),f473(x1053,x1054,x1052,x1055,x1056))
% 204.32/204.33 [106]~E(x1061,x1062)+E(f473(x1063,x1064,x1065,x1061,x1066),f473(x1063,x1064,x1065,x1062,x1066))
% 204.32/204.33 [107]~E(x1071,x1072)+E(f473(x1073,x1074,x1075,x1076,x1071),f473(x1073,x1074,x1075,x1076,x1072))
% 204.32/204.33 [108]~E(x1081,x1082)+E(f142(x1081),f142(x1082))
% 204.32/204.33 [109]~E(x1091,x1092)+E(f293(x1091,x1093,x1094),f293(x1092,x1093,x1094))
% 204.32/204.33 [110]~E(x1101,x1102)+E(f293(x1103,x1101,x1104),f293(x1103,x1102,x1104))
% 204.32/204.33 [111]~E(x1111,x1112)+E(f293(x1113,x1114,x1111),f293(x1113,x1114,x1112))
% 204.32/204.33 [112]~E(x1121,x1122)+E(f190(x1121),f190(x1122))
% 204.32/204.33 [113]~E(x1131,x1132)+E(f81(x1131),f81(x1132))
% 204.32/204.33 [114]~E(x1141,x1142)+E(f168(x1141),f168(x1142))
% 204.32/204.33 [115]~E(x1151,x1152)+E(f667(x1151,x1153,x1154),f667(x1152,x1153,x1154))
% 204.32/204.33 [116]~E(x1161,x1162)+E(f667(x1163,x1161,x1164),f667(x1163,x1162,x1164))
% 204.32/204.33 [117]~E(x1171,x1172)+E(f667(x1173,x1174,x1171),f667(x1173,x1174,x1172))
% 204.32/204.33 [118]~E(x1181,x1182)+E(f314(x1181,x1183,x1184),f314(x1182,x1183,x1184))
% 204.32/204.33 [119]~E(x1191,x1192)+E(f314(x1193,x1191,x1194),f314(x1193,x1192,x1194))
% 204.32/204.33 [120]~E(x1201,x1202)+E(f314(x1203,x1204,x1201),f314(x1203,x1204,x1202))
% 204.32/204.33 [121]~E(x1211,x1212)+E(f36(x1211),f36(x1212))
% 204.32/204.33 [122]~E(x1221,x1222)+E(f45(x1221,x1223,x1224),f45(x1222,x1223,x1224))
% 204.32/204.33 [123]~E(x1231,x1232)+E(f45(x1233,x1231,x1234),f45(x1233,x1232,x1234))
% 204.32/204.33 [124]~E(x1241,x1242)+E(f45(x1243,x1244,x1241),f45(x1243,x1244,x1242))
% 204.32/204.33 [125]~E(x1251,x1252)+E(f246(x1251),f246(x1252))
% 204.32/204.33 [126]~E(x1261,x1262)+E(f256(x1261,x1263),f256(x1262,x1263))
% 204.32/204.33 [127]~E(x1271,x1272)+E(f256(x1273,x1271),f256(x1273,x1272))
% 204.32/204.33 [128]~E(x1281,x1282)+E(f260(x1281,x1283),f260(x1282,x1283))
% 204.32/204.33 [129]~E(x1291,x1292)+E(f260(x1293,x1291),f260(x1293,x1292))
% 204.32/204.33 [130]~E(x1301,x1302)+E(f198(x1301),f198(x1302))
% 204.32/204.33 [131]~E(x1311,x1312)+E(f35(x1311),f35(x1312))
% 204.32/204.33 [132]~E(x1321,x1322)+E(f162(x1321,x1323),f162(x1322,x1323))
% 204.32/204.33 [133]~E(x1331,x1332)+E(f162(x1333,x1331),f162(x1333,x1332))
% 204.32/204.33 [134]~E(x1341,x1342)+E(f138(x1341),f138(x1342))
% 204.32/204.33 [135]~E(x1351,x1352)+E(f296(x1351,x1353),f296(x1352,x1353))
% 204.32/204.33 [136]~E(x1361,x1362)+E(f296(x1363,x1361),f296(x1363,x1362))
% 204.32/204.33 [137]~E(x1371,x1372)+E(f80(x1371),f80(x1372))
% 204.32/204.33 [138]~E(x1381,x1382)+E(f155(x1381),f155(x1382))
% 204.32/204.33 [139]~E(x1391,x1392)+E(f158(x1391,x1393),f158(x1392,x1393))
% 204.32/204.33 [140]~E(x1401,x1402)+E(f158(x1403,x1401),f158(x1403,x1402))
% 204.32/204.33 [141]~E(x1411,x1412)+E(f109(x1411),f109(x1412))
% 204.32/204.33 [142]~E(x1421,x1422)+E(f111(x1421),f111(x1422))
% 204.32/204.33 [143]~E(x1431,x1432)+E(f332(x1431),f332(x1432))
% 204.32/204.33 [144]~E(x1441,x1442)+E(f300(x1441,x1443,x1444,x1445),f300(x1442,x1443,x1444,x1445))
% 204.32/204.33 [145]~E(x1451,x1452)+E(f300(x1453,x1451,x1454,x1455),f300(x1453,x1452,x1454,x1455))
% 204.32/204.33 [146]~E(x1461,x1462)+E(f300(x1463,x1464,x1461,x1465),f300(x1463,x1464,x1462,x1465))
% 204.32/204.33 [147]~E(x1471,x1472)+E(f300(x1473,x1474,x1475,x1471),f300(x1473,x1474,x1475,x1472))
% 204.32/204.33 [148]~E(x1481,x1482)+E(f581(x1481),f581(x1482))
% 204.32/204.33 [149]~E(x1491,x1492)+E(f199(x1491,x1493),f199(x1492,x1493))
% 204.32/204.33 [150]~E(x1501,x1502)+E(f199(x1503,x1501),f199(x1503,x1502))
% 204.32/204.33 [151]~E(x1511,x1512)+E(f762(x1511,x1513,x1514),f762(x1512,x1513,x1514))
% 204.32/204.33 [152]~E(x1521,x1522)+E(f762(x1523,x1521,x1524),f762(x1523,x1522,x1524))
% 204.32/204.33 [153]~E(x1531,x1532)+E(f762(x1533,x1534,x1531),f762(x1533,x1534,x1532))
% 204.32/204.33 [154]~E(x1541,x1542)+E(f245(x1541,x1543),f245(x1542,x1543))
% 204.32/204.33 [155]~E(x1551,x1552)+E(f245(x1553,x1551),f245(x1553,x1552))
% 204.32/204.33 [156]~E(x1561,x1562)+E(f868(x1561,x1563,x1564),f868(x1562,x1563,x1564))
% 204.32/204.33 [157]~E(x1571,x1572)+E(f868(x1573,x1571,x1574),f868(x1573,x1572,x1574))
% 204.32/204.33 [158]~E(x1581,x1582)+E(f868(x1583,x1584,x1581),f868(x1583,x1584,x1582))
% 204.32/204.33 [159]~E(x1591,x1592)+E(f843(x1591,x1593,x1594,x1595),f843(x1592,x1593,x1594,x1595))
% 204.32/204.33 [160]~E(x1601,x1602)+E(f843(x1603,x1601,x1604,x1605),f843(x1603,x1602,x1604,x1605))
% 204.32/204.33 [161]~E(x1611,x1612)+E(f843(x1613,x1614,x1611,x1615),f843(x1613,x1614,x1612,x1615))
% 204.32/204.33 [162]~E(x1621,x1622)+E(f843(x1623,x1624,x1625,x1621),f843(x1623,x1624,x1625,x1622))
% 204.32/204.33 [163]~E(x1631,x1632)+E(f181(x1631,x1633,x1634),f181(x1632,x1633,x1634))
% 204.32/204.33 [164]~E(x1641,x1642)+E(f181(x1643,x1641,x1644),f181(x1643,x1642,x1644))
% 204.32/204.33 [165]~E(x1651,x1652)+E(f181(x1653,x1654,x1651),f181(x1653,x1654,x1652))
% 204.32/204.33 [166]~E(x1661,x1662)+E(f40(x1661,x1663),f40(x1662,x1663))
% 204.32/204.33 [167]~E(x1671,x1672)+E(f40(x1673,x1671),f40(x1673,x1672))
% 204.32/204.33 [168]~E(x1681,x1682)+E(f49(x1681,x1683),f49(x1682,x1683))
% 204.32/204.33 [169]~E(x1691,x1692)+E(f49(x1693,x1691),f49(x1693,x1692))
% 204.32/204.33 [170]~E(x1701,x1702)+E(f189(x1701,x1703,x1704,x1705),f189(x1702,x1703,x1704,x1705))
% 204.32/204.33 [171]~E(x1711,x1712)+E(f189(x1713,x1711,x1714,x1715),f189(x1713,x1712,x1714,x1715))
% 204.32/204.33 [172]~E(x1721,x1722)+E(f189(x1723,x1724,x1721,x1725),f189(x1723,x1724,x1722,x1725))
% 204.32/204.33 [173]~E(x1731,x1732)+E(f189(x1733,x1734,x1735,x1731),f189(x1733,x1734,x1735,x1732))
% 204.32/204.33 [174]~E(x1741,x1742)+E(f164(x1741,x1743),f164(x1742,x1743))
% 204.32/204.33 [175]~E(x1751,x1752)+E(f164(x1753,x1751),f164(x1753,x1752))
% 204.32/204.33 [176]~E(x1761,x1762)+E(f39(x1761,x1763),f39(x1762,x1763))
% 204.32/204.33 [177]~E(x1771,x1772)+E(f39(x1773,x1771),f39(x1773,x1772))
% 204.32/204.33 [178]~E(x1781,x1782)+E(f873(x1781,x1783,x1784),f873(x1782,x1783,x1784))
% 204.32/204.33 [179]~E(x1791,x1792)+E(f873(x1793,x1791,x1794),f873(x1793,x1792,x1794))
% 204.32/204.33 [180]~E(x1801,x1802)+E(f873(x1803,x1804,x1801),f873(x1803,x1804,x1802))
% 204.32/204.33 [181]~E(x1811,x1812)+E(f16(x1811,x1813),f16(x1812,x1813))
% 204.32/204.33 [182]~E(x1821,x1822)+E(f16(x1823,x1821),f16(x1823,x1822))
% 204.32/204.33 [183]~E(x1831,x1832)+E(f48(x1831,x1833),f48(x1832,x1833))
% 204.32/204.33 [184]~E(x1841,x1842)+E(f48(x1843,x1841),f48(x1843,x1842))
% 204.32/204.33 [185]~E(x1851,x1852)+E(f311(x1851,x1853),f311(x1852,x1853))
% 204.32/204.33 [186]~E(x1861,x1862)+E(f311(x1863,x1861),f311(x1863,x1862))
% 204.32/204.33 [187]~E(x1871,x1872)+E(f680(x1871,x1873,x1874),f680(x1872,x1873,x1874))
% 204.32/204.33 [188]~E(x1881,x1882)+E(f680(x1883,x1881,x1884),f680(x1883,x1882,x1884))
% 204.32/204.33 [189]~E(x1891,x1892)+E(f680(x1893,x1894,x1891),f680(x1893,x1894,x1892))
% 204.32/204.33 [190]~E(x1901,x1902)+E(f798(x1901,x1903,x1904,x1905,x1906,x1907,x1908),f798(x1902,x1903,x1904,x1905,x1906,x1907,x1908))
% 204.32/204.33 [191]~E(x1911,x1912)+E(f798(x1913,x1911,x1914,x1915,x1916,x1917,x1918),f798(x1913,x1912,x1914,x1915,x1916,x1917,x1918))
% 204.32/204.33 [192]~E(x1921,x1922)+E(f798(x1923,x1924,x1921,x1925,x1926,x1927,x1928),f798(x1923,x1924,x1922,x1925,x1926,x1927,x1928))
% 204.32/204.33 [193]~E(x1931,x1932)+E(f798(x1933,x1934,x1935,x1931,x1936,x1937,x1938),f798(x1933,x1934,x1935,x1932,x1936,x1937,x1938))
% 204.32/204.33 [194]~E(x1941,x1942)+E(f798(x1943,x1944,x1945,x1946,x1941,x1947,x1948),f798(x1943,x1944,x1945,x1946,x1942,x1947,x1948))
% 204.32/204.33 [195]~E(x1951,x1952)+E(f798(x1953,x1954,x1955,x1956,x1957,x1951,x1958),f798(x1953,x1954,x1955,x1956,x1957,x1952,x1958))
% 204.32/204.33 [196]~E(x1961,x1962)+E(f798(x1963,x1964,x1965,x1966,x1967,x1968,x1961),f798(x1963,x1964,x1965,x1966,x1967,x1968,x1962))
% 204.32/204.33 [197]~E(x1971,x1972)+E(f18(x1971,x1973,x1974),f18(x1972,x1973,x1974))
% 204.32/204.33 [198]~E(x1981,x1982)+E(f18(x1983,x1981,x1984),f18(x1983,x1982,x1984))
% 204.32/204.33 [199]~E(x1991,x1992)+E(f18(x1993,x1994,x1991),f18(x1993,x1994,x1992))
% 204.32/204.33 [200]~E(x2001,x2002)+E(f117(x2001),f117(x2002))
% 204.32/204.33 [201]~E(x2011,x2012)+E(f875(x2011,x2013,x2014),f875(x2012,x2013,x2014))
% 204.32/204.33 [202]~E(x2021,x2022)+E(f875(x2023,x2021,x2024),f875(x2023,x2022,x2024))
% 204.32/204.33 [203]~E(x2031,x2032)+E(f875(x2033,x2034,x2031),f875(x2033,x2034,x2032))
% 204.32/204.33 [204]~E(x2041,x2042)+E(f627(x2041,x2043,x2044,x2045,x2046),f627(x2042,x2043,x2044,x2045,x2046))
% 204.32/204.33 [205]~E(x2051,x2052)+E(f627(x2053,x2051,x2054,x2055,x2056),f627(x2053,x2052,x2054,x2055,x2056))
% 204.32/204.33 [206]~E(x2061,x2062)+E(f627(x2063,x2064,x2061,x2065,x2066),f627(x2063,x2064,x2062,x2065,x2066))
% 204.32/204.33 [207]~E(x2071,x2072)+E(f627(x2073,x2074,x2075,x2071,x2076),f627(x2073,x2074,x2075,x2072,x2076))
% 204.32/204.33 [208]~E(x2081,x2082)+E(f627(x2083,x2084,x2085,x2086,x2081),f627(x2083,x2084,x2085,x2086,x2082))
% 204.32/204.33 [209]~E(x2091,x2092)+E(f292(x2091,x2093),f292(x2092,x2093))
% 204.32/204.33 [210]~E(x2101,x2102)+E(f292(x2103,x2101),f292(x2103,x2102))
% 204.32/204.33 [211]~E(x2111,x2112)+E(f874(x2111,x2113,x2114),f874(x2112,x2113,x2114))
% 204.32/204.33 [212]~E(x2121,x2122)+E(f874(x2123,x2121,x2124),f874(x2123,x2122,x2124))
% 204.32/204.33 [213]~E(x2131,x2132)+E(f874(x2133,x2134,x2131),f874(x2133,x2134,x2132))
% 204.32/204.33 [214]~E(x2141,x2142)+E(f9(x2141,x2143),f9(x2142,x2143))
% 204.32/204.33 [215]~E(x2151,x2152)+E(f9(x2153,x2151),f9(x2153,x2152))
% 204.32/204.33 [216]~E(x2161,x2162)+E(f371(x2161,x2163,x2164),f371(x2162,x2163,x2164))
% 204.32/204.33 [217]~E(x2171,x2172)+E(f371(x2173,x2171,x2174),f371(x2173,x2172,x2174))
% 204.32/204.33 [218]~E(x2181,x2182)+E(f371(x2183,x2184,x2181),f371(x2183,x2184,x2182))
% 204.32/204.33 [219]~E(x2191,x2192)+E(f156(x2191,x2193),f156(x2192,x2193))
% 204.32/204.33 [220]~E(x2201,x2202)+E(f156(x2203,x2201),f156(x2203,x2202))
% 204.32/204.33 [221]~E(x2211,x2212)+E(f6(x2211,x2213),f6(x2212,x2213))
% 204.32/204.33 [222]~E(x2221,x2222)+E(f6(x2223,x2221),f6(x2223,x2222))
% 204.32/204.33 [223]~E(x2231,x2232)+E(f56(x2231),f56(x2232))
% 204.32/204.33 [224]~E(x2241,x2242)+E(f350(x2241,x2243,x2244,x2245,x2246),f350(x2242,x2243,x2244,x2245,x2246))
% 204.32/204.33 [225]~E(x2251,x2252)+E(f350(x2253,x2251,x2254,x2255,x2256),f350(x2253,x2252,x2254,x2255,x2256))
% 204.32/204.33 [226]~E(x2261,x2262)+E(f350(x2263,x2264,x2261,x2265,x2266),f350(x2263,x2264,x2262,x2265,x2266))
% 204.32/204.33 [227]~E(x2271,x2272)+E(f350(x2273,x2274,x2275,x2271,x2276),f350(x2273,x2274,x2275,x2272,x2276))
% 204.32/204.33 [228]~E(x2281,x2282)+E(f350(x2283,x2284,x2285,x2286,x2281),f350(x2283,x2284,x2285,x2286,x2282))
% 204.32/204.33 [229]~E(x2291,x2292)+E(f289(x2291,x2293,x2294),f289(x2292,x2293,x2294))
% 204.32/204.33 [230]~E(x2301,x2302)+E(f289(x2303,x2301,x2304),f289(x2303,x2302,x2304))
% 204.32/204.33 [231]~E(x2311,x2312)+E(f289(x2313,x2314,x2311),f289(x2313,x2314,x2312))
% 204.32/204.33 [232]~E(x2321,x2322)+E(f286(x2321),f286(x2322))
% 204.32/204.33 [233]~E(x2331,x2332)+E(f148(x2331,x2333),f148(x2332,x2333))
% 204.32/204.33 [234]~E(x2341,x2342)+E(f148(x2343,x2341),f148(x2343,x2342))
% 204.32/204.33 [235]~E(x2351,x2352)+E(f356(x2351,x2353,x2354,x2355,x2356),f356(x2352,x2353,x2354,x2355,x2356))
% 204.32/204.33 [236]~E(x2361,x2362)+E(f356(x2363,x2361,x2364,x2365,x2366),f356(x2363,x2362,x2364,x2365,x2366))
% 204.32/204.33 [237]~E(x2371,x2372)+E(f356(x2373,x2374,x2371,x2375,x2376),f356(x2373,x2374,x2372,x2375,x2376))
% 204.32/204.33 [238]~E(x2381,x2382)+E(f356(x2383,x2384,x2385,x2381,x2386),f356(x2383,x2384,x2385,x2382,x2386))
% 204.32/204.33 [239]~E(x2391,x2392)+E(f356(x2393,x2394,x2395,x2396,x2391),f356(x2393,x2394,x2395,x2396,x2392))
% 204.32/204.33 [240]~E(x2401,x2402)+E(f37(x2401,x2403),f37(x2402,x2403))
% 204.32/204.33 [241]~E(x2411,x2412)+E(f37(x2413,x2411),f37(x2413,x2412))
% 204.32/204.33 [242]~E(x2421,x2422)+E(f325(x2421,x2423,x2424),f325(x2422,x2423,x2424))
% 204.32/204.33 [243]~E(x2431,x2432)+E(f325(x2433,x2431,x2434),f325(x2433,x2432,x2434))
% 204.32/204.33 [244]~E(x2441,x2442)+E(f325(x2443,x2444,x2441),f325(x2443,x2444,x2442))
% 204.32/204.33 [245]~E(x2451,x2452)+E(f876(x2451,x2453,x2454),f876(x2452,x2453,x2454))
% 204.32/204.33 [246]~E(x2461,x2462)+E(f876(x2463,x2461,x2464),f876(x2463,x2462,x2464))
% 204.32/204.33 [247]~E(x2471,x2472)+E(f876(x2473,x2474,x2471),f876(x2473,x2474,x2472))
% 204.32/204.33 [248]~E(x2481,x2482)+E(f14(x2481,x2483),f14(x2482,x2483))
% 204.32/204.33 [249]~E(x2491,x2492)+E(f14(x2493,x2491),f14(x2493,x2492))
% 204.32/204.33 [250]~E(x2501,x2502)+E(f287(x2501),f287(x2502))
% 204.32/204.33 [251]~E(x2511,x2512)+E(f258(x2511,x2513),f258(x2512,x2513))
% 204.32/204.33 [252]~E(x2521,x2522)+E(f258(x2523,x2521),f258(x2523,x2522))
% 204.32/204.33 [253]~E(x2531,x2532)+E(f169(x2531),f169(x2532))
% 204.32/204.33 [254]~E(x2541,x2542)+E(f738(x2541,x2543),f738(x2542,x2543))
% 204.32/204.33 [255]~E(x2551,x2552)+E(f738(x2553,x2551),f738(x2553,x2552))
% 204.32/204.33 [256]~E(x2561,x2562)+E(f154(x2561,x2563,x2564,x2565),f154(x2562,x2563,x2564,x2565))
% 204.32/204.33 [257]~E(x2571,x2572)+E(f154(x2573,x2571,x2574,x2575),f154(x2573,x2572,x2574,x2575))
% 204.32/204.33 [258]~E(x2581,x2582)+E(f154(x2583,x2584,x2581,x2585),f154(x2583,x2584,x2582,x2585))
% 204.32/204.33 [259]~E(x2591,x2592)+E(f154(x2593,x2594,x2595,x2591),f154(x2593,x2594,x2595,x2592))
% 204.32/204.33 [260]~E(x2601,x2602)+E(f406(x2601,x2603,x2604,x2605),f406(x2602,x2603,x2604,x2605))
% 204.32/204.33 [261]~E(x2611,x2612)+E(f406(x2613,x2611,x2614,x2615),f406(x2613,x2612,x2614,x2615))
% 204.32/204.33 [262]~E(x2621,x2622)+E(f406(x2623,x2624,x2621,x2625),f406(x2623,x2624,x2622,x2625))
% 204.32/204.33 [263]~E(x2631,x2632)+E(f406(x2633,x2634,x2635,x2631),f406(x2633,x2634,x2635,x2632))
% 204.32/204.33 [264]~E(x2641,x2642)+E(f147(x2641,x2643),f147(x2642,x2643))
% 204.32/204.33 [265]~E(x2651,x2652)+E(f147(x2653,x2651),f147(x2653,x2652))
% 204.32/204.33 [266]~E(x2661,x2662)+E(f118(x2661,x2663),f118(x2662,x2663))
% 204.32/204.33 [267]~E(x2671,x2672)+E(f118(x2673,x2671),f118(x2673,x2672))
% 204.32/204.33 [268]~E(x2681,x2682)+E(f66(x2681,x2683,x2684,x2685,x2686),f66(x2682,x2683,x2684,x2685,x2686))
% 204.32/204.33 [269]~E(x2691,x2692)+E(f66(x2693,x2691,x2694,x2695,x2696),f66(x2693,x2692,x2694,x2695,x2696))
% 204.32/204.33 [270]~E(x2701,x2702)+E(f66(x2703,x2704,x2701,x2705,x2706),f66(x2703,x2704,x2702,x2705,x2706))
% 204.32/204.33 [271]~E(x2711,x2712)+E(f66(x2713,x2714,x2715,x2711,x2716),f66(x2713,x2714,x2715,x2712,x2716))
% 204.32/204.33 [272]~E(x2721,x2722)+E(f66(x2723,x2724,x2725,x2726,x2721),f66(x2723,x2724,x2725,x2726,x2722))
% 204.32/204.33 [273]~E(x2731,x2732)+E(f12(x2731,x2733,x2734),f12(x2732,x2733,x2734))
% 204.32/204.33 [274]~E(x2741,x2742)+E(f12(x2743,x2741,x2744),f12(x2743,x2742,x2744))
% 204.32/204.33 [275]~E(x2751,x2752)+E(f12(x2753,x2754,x2751),f12(x2753,x2754,x2752))
% 204.32/204.33 [276]~E(x2761,x2762)+E(f235(x2761,x2763,x2764),f235(x2762,x2763,x2764))
% 204.32/204.33 [277]~E(x2771,x2772)+E(f235(x2773,x2771,x2774),f235(x2773,x2772,x2774))
% 204.32/204.33 [278]~E(x2781,x2782)+E(f235(x2783,x2784,x2781),f235(x2783,x2784,x2782))
% 204.32/204.33 [279]~E(x2791,x2792)+E(f92(x2791,x2793,x2794,x2795),f92(x2792,x2793,x2794,x2795))
% 204.32/204.33 [280]~E(x2801,x2802)+E(f92(x2803,x2801,x2804,x2805),f92(x2803,x2802,x2804,x2805))
% 204.32/204.33 [281]~E(x2811,x2812)+E(f92(x2813,x2814,x2811,x2815),f92(x2813,x2814,x2812,x2815))
% 204.32/204.33 [282]~E(x2821,x2822)+E(f92(x2823,x2824,x2825,x2821),f92(x2823,x2824,x2825,x2822))
% 204.32/204.33 [283]~E(x2831,x2832)+E(f195(x2831),f195(x2832))
% 204.32/204.33 [284]~E(x2841,x2842)+E(f306(x2841,x2843),f306(x2842,x2843))
% 204.32/204.33 [285]~E(x2851,x2852)+E(f306(x2853,x2851),f306(x2853,x2852))
% 204.32/204.33 [286]~E(x2861,x2862)+E(f119(x2861),f119(x2862))
% 204.32/204.33 [287]~E(x2871,x2872)+E(f933(x2871,x2873),f933(x2872,x2873))
% 204.32/204.33 [288]~E(x2881,x2882)+E(f933(x2883,x2881),f933(x2883,x2882))
% 204.32/204.33 [289]~E(x2891,x2892)+E(f686(x2891,x2893,x2894,x2895,x2896),f686(x2892,x2893,x2894,x2895,x2896))
% 204.32/204.33 [290]~E(x2901,x2902)+E(f686(x2903,x2901,x2904,x2905,x2906),f686(x2903,x2902,x2904,x2905,x2906))
% 204.32/204.33 [291]~E(x2911,x2912)+E(f686(x2913,x2914,x2911,x2915,x2916),f686(x2913,x2914,x2912,x2915,x2916))
% 204.32/204.33 [292]~E(x2921,x2922)+E(f686(x2923,x2924,x2925,x2921,x2926),f686(x2923,x2924,x2925,x2922,x2926))
% 204.32/204.33 [293]~E(x2931,x2932)+E(f686(x2933,x2934,x2935,x2936,x2931),f686(x2933,x2934,x2935,x2936,x2932))
% 204.32/204.33 [294]~E(x2941,x2942)+E(f932(x2941,x2943),f932(x2942,x2943))
% 204.32/204.33 [295]~E(x2951,x2952)+E(f932(x2953,x2951),f932(x2953,x2952))
% 204.32/204.33 [296]~E(x2961,x2962)+E(f171(x2961),f171(x2962))
% 204.32/204.33 [297]~E(x2971,x2972)+E(f315(x2971,x2973,x2974),f315(x2972,x2973,x2974))
% 204.32/204.33 [298]~E(x2981,x2982)+E(f315(x2983,x2981,x2984),f315(x2983,x2982,x2984))
% 204.32/204.33 [299]~E(x2991,x2992)+E(f315(x2993,x2994,x2991),f315(x2993,x2994,x2992))
% 204.32/204.33 [300]~E(x3001,x3002)+E(f187(x3001,x3003),f187(x3002,x3003))
% 204.32/204.33 [301]~E(x3011,x3012)+E(f187(x3013,x3011),f187(x3013,x3012))
% 204.32/204.33 [302]~E(x3021,x3022)+E(f319(x3021,x3023),f319(x3022,x3023))
% 204.32/204.33 [303]~E(x3031,x3032)+E(f319(x3033,x3031),f319(x3033,x3032))
% 204.32/204.33 [304]~E(x3041,x3042)+E(f175(x3041),f175(x3042))
% 204.32/204.33 [305]~E(x3051,x3052)+E(f274(x3051,x3053),f274(x3052,x3053))
% 204.32/204.33 [306]~E(x3061,x3062)+E(f274(x3063,x3061),f274(x3063,x3062))
% 204.32/204.33 [307]~E(x3071,x3072)+E(f792(x3071,x3073,x3074,x3075),f792(x3072,x3073,x3074,x3075))
% 204.32/204.33 [308]~E(x3081,x3082)+E(f792(x3083,x3081,x3084,x3085),f792(x3083,x3082,x3084,x3085))
% 204.32/204.33 [309]~E(x3091,x3092)+E(f792(x3093,x3094,x3091,x3095),f792(x3093,x3094,x3092,x3095))
% 204.32/204.33 [310]~E(x3101,x3102)+E(f792(x3103,x3104,x3105,x3101),f792(x3103,x3104,x3105,x3102))
% 204.32/204.33 [311]~E(x3111,x3112)+E(f63(x3111,x3113),f63(x3112,x3113))
% 204.32/204.33 [312]~E(x3121,x3122)+E(f63(x3123,x3121),f63(x3123,x3122))
% 204.32/204.33 [313]~E(x3131,x3132)+E(f172(x3131),f172(x3132))
% 204.32/204.33 [314]~E(x3141,x3142)+E(f600(x3141,x3143,x3144,x3145,x3146,x3147,x3148,x3149),f600(x3142,x3143,x3144,x3145,x3146,x3147,x3148,x3149))
% 204.32/204.33 [315]~E(x3151,x3152)+E(f600(x3153,x3151,x3154,x3155,x3156,x3157,x3158,x3159),f600(x3153,x3152,x3154,x3155,x3156,x3157,x3158,x3159))
% 204.32/204.33 [316]~E(x3161,x3162)+E(f600(x3163,x3164,x3161,x3165,x3166,x3167,x3168,x3169),f600(x3163,x3164,x3162,x3165,x3166,x3167,x3168,x3169))
% 204.32/204.33 [317]~E(x3171,x3172)+E(f600(x3173,x3174,x3175,x3171,x3176,x3177,x3178,x3179),f600(x3173,x3174,x3175,x3172,x3176,x3177,x3178,x3179))
% 204.32/204.33 [318]~E(x3181,x3182)+E(f600(x3183,x3184,x3185,x3186,x3181,x3187,x3188,x3189),f600(x3183,x3184,x3185,x3186,x3182,x3187,x3188,x3189))
% 204.32/204.33 [319]~E(x3191,x3192)+E(f600(x3193,x3194,x3195,x3196,x3197,x3191,x3198,x3199),f600(x3193,x3194,x3195,x3196,x3197,x3192,x3198,x3199))
% 204.32/204.33 [320]~E(x3201,x3202)+E(f600(x3203,x3204,x3205,x3206,x3207,x3208,x3201,x3209),f600(x3203,x3204,x3205,x3206,x3207,x3208,x3202,x3209))
% 204.32/204.33 [321]~E(x3211,x3212)+E(f600(x3213,x3214,x3215,x3216,x3217,x3218,x3219,x3211),f600(x3213,x3214,x3215,x3216,x3217,x3218,x3219,x3212))
% 204.32/204.33 [322]~E(x3221,x3222)+E(f305(x3221),f305(x3222))
% 204.32/204.33 [323]~E(x3231,x3232)+E(f146(x3231,x3233,x3234,x3235),f146(x3232,x3233,x3234,x3235))
% 204.32/204.33 [324]~E(x3241,x3242)+E(f146(x3243,x3241,x3244,x3245),f146(x3243,x3242,x3244,x3245))
% 204.32/204.33 [325]~E(x3251,x3252)+E(f146(x3253,x3254,x3251,x3255),f146(x3253,x3254,x3252,x3255))
% 204.32/204.33 [326]~E(x3261,x3262)+E(f146(x3263,x3264,x3265,x3261),f146(x3263,x3264,x3265,x3262))
% 204.32/204.33 [327]~E(x3271,x3272)+E(f297(x3271,x3273,x3274),f297(x3272,x3273,x3274))
% 204.32/204.33 [328]~E(x3281,x3282)+E(f297(x3283,x3281,x3284),f297(x3283,x3282,x3284))
% 204.32/204.33 [329]~E(x3291,x3292)+E(f297(x3293,x3294,x3291),f297(x3293,x3294,x3292))
% 204.32/204.33 [330]~E(x3301,x3302)+E(f143(x3301,x3303),f143(x3302,x3303))
% 204.32/204.33 [331]~E(x3311,x3312)+E(f143(x3313,x3311),f143(x3313,x3312))
% 204.32/204.33 [332]~E(x3321,x3322)+E(f176(x3321),f176(x3322))
% 204.32/204.33 [333]~E(x3331,x3332)+E(f310(x3331,x3333,x3334),f310(x3332,x3333,x3334))
% 204.32/204.33 [334]~E(x3341,x3342)+E(f310(x3343,x3341,x3344),f310(x3343,x3342,x3344))
% 204.32/204.33 [335]~E(x3351,x3352)+E(f310(x3353,x3354,x3351),f310(x3353,x3354,x3352))
% 204.32/204.33 [336]~E(x3361,x3362)+E(f411(x3361,x3363,x3364,x3365),f411(x3362,x3363,x3364,x3365))
% 204.32/204.33 [337]~E(x3371,x3372)+E(f411(x3373,x3371,x3374,x3375),f411(x3373,x3372,x3374,x3375))
% 204.32/204.33 [338]~E(x3381,x3382)+E(f411(x3383,x3384,x3381,x3385),f411(x3383,x3384,x3382,x3385))
% 204.32/204.33 [339]~E(x3391,x3392)+E(f411(x3393,x3394,x3395,x3391),f411(x3393,x3394,x3395,x3392))
% 204.32/204.33 [340]~E(x3401,x3402)+E(f322(x3401,x3403),f322(x3402,x3403))
% 204.32/204.33 [341]~E(x3411,x3412)+E(f322(x3413,x3411),f322(x3413,x3412))
% 204.32/204.33 [342]~E(x3421,x3422)+E(f185(x3421,x3423),f185(x3422,x3423))
% 204.32/204.33 [343]~E(x3431,x3432)+E(f185(x3433,x3431),f185(x3433,x3432))
% 204.32/204.33 [344]~E(x3441,x3442)+E(f324(x3441,x3443),f324(x3442,x3443))
% 204.32/204.33 [345]~E(x3451,x3452)+E(f324(x3453,x3451),f324(x3453,x3452))
% 204.32/204.33 [346]~E(x3461,x3462)+E(f145(x3461),f145(x3462))
% 204.32/204.33 [347]~E(x3471,x3472)+E(f123(x3471),f123(x3472))
% 204.32/204.33 [348]~E(x3481,x3482)+E(f675(x3481,x3483),f675(x3482,x3483))
% 204.32/204.33 [349]~E(x3491,x3492)+E(f675(x3493,x3491),f675(x3493,x3492))
% 204.32/204.33 [350]~E(x3501,x3502)+E(f68(x3501,x3503,x3504),f68(x3502,x3503,x3504))
% 204.32/204.33 [351]~E(x3511,x3512)+E(f68(x3513,x3511,x3514),f68(x3513,x3512,x3514))
% 204.32/204.33 [352]~E(x3521,x3522)+E(f68(x3523,x3524,x3521),f68(x3523,x3524,x3522))
% 204.32/204.33 [353]~E(x3531,x3532)+E(f424(x3531,x3533,x3534,x3535),f424(x3532,x3533,x3534,x3535))
% 204.32/204.33 [354]~E(x3541,x3542)+E(f424(x3543,x3541,x3544,x3545),f424(x3543,x3542,x3544,x3545))
% 204.32/204.33 [355]~E(x3551,x3552)+E(f424(x3553,x3554,x3551,x3555),f424(x3553,x3554,x3552,x3555))
% 204.32/204.33 [356]~E(x3561,x3562)+E(f424(x3563,x3564,x3565,x3561),f424(x3563,x3564,x3565,x3562))
% 204.32/204.33 [357]~E(x3571,x3572)+E(f477(x3571,x3573),f477(x3572,x3573))
% 204.32/204.33 [358]~E(x3581,x3582)+E(f477(x3583,x3581),f477(x3583,x3582))
% 204.32/204.33 [359]~E(x3591,x3592)+E(f573(x3591,x3593,x3594),f573(x3592,x3593,x3594))
% 204.32/204.33 [360]~E(x3601,x3602)+E(f573(x3603,x3601,x3604),f573(x3603,x3602,x3604))
% 204.32/204.33 [361]~E(x3611,x3612)+E(f573(x3613,x3614,x3611),f573(x3613,x3614,x3612))
% 204.32/204.33 [362]~E(x3621,x3622)+E(f635(x3621,x3623,x3624,x3625,x3626),f635(x3622,x3623,x3624,x3625,x3626))
% 204.32/204.33 [363]~E(x3631,x3632)+E(f635(x3633,x3631,x3634,x3635,x3636),f635(x3633,x3632,x3634,x3635,x3636))
% 204.32/204.33 [364]~E(x3641,x3642)+E(f635(x3643,x3644,x3641,x3645,x3646),f635(x3643,x3644,x3642,x3645,x3646))
% 204.32/204.33 [365]~E(x3651,x3652)+E(f635(x3653,x3654,x3655,x3651,x3656),f635(x3653,x3654,x3655,x3652,x3656))
% 204.32/204.33 [366]~E(x3661,x3662)+E(f635(x3663,x3664,x3665,x3666,x3661),f635(x3663,x3664,x3665,x3666,x3662))
% 204.32/204.33 [367]~E(x3671,x3672)+E(f82(x3671,x3673),f82(x3672,x3673))
% 204.32/204.33 [368]~E(x3681,x3682)+E(f82(x3683,x3681),f82(x3683,x3682))
% 204.32/204.33 [369]~E(x3691,x3692)+E(f173(x3691,x3693,x3694),f173(x3692,x3693,x3694))
% 204.32/204.33 [370]~E(x3701,x3702)+E(f173(x3703,x3701,x3704),f173(x3703,x3702,x3704))
% 204.32/204.33 [371]~E(x3711,x3712)+E(f173(x3713,x3714,x3711),f173(x3713,x3714,x3712))
% 204.32/204.33 [372]~E(x3721,x3722)+E(f270(x3721,x3723),f270(x3722,x3723))
% 204.32/204.33 [373]~E(x3731,x3732)+E(f270(x3733,x3731),f270(x3733,x3732))
% 204.32/204.33 [374]~E(x3741,x3742)+E(f618(x3741,x3743,x3744),f618(x3742,x3743,x3744))
% 204.32/204.33 [375]~E(x3751,x3752)+E(f618(x3753,x3751,x3754),f618(x3753,x3752,x3754))
% 204.32/204.33 [376]~E(x3761,x3762)+E(f618(x3763,x3764,x3761),f618(x3763,x3764,x3762))
% 204.32/204.33 [377]~E(x3771,x3772)+E(f179(x3771),f179(x3772))
% 204.32/204.33 [378]~E(x3781,x3782)+E(f275(x3781,x3783,x3784,x3785),f275(x3782,x3783,x3784,x3785))
% 204.32/204.33 [379]~E(x3791,x3792)+E(f275(x3793,x3791,x3794,x3795),f275(x3793,x3792,x3794,x3795))
% 204.32/204.33 [380]~E(x3801,x3802)+E(f275(x3803,x3804,x3801,x3805),f275(x3803,x3804,x3802,x3805))
% 204.32/204.33 [381]~E(x3811,x3812)+E(f275(x3813,x3814,x3815,x3811),f275(x3813,x3814,x3815,x3812))
% 204.32/204.33 [382]~E(x3821,x3822)+E(f647(x3821,x3823,x3824),f647(x3822,x3823,x3824))
% 204.32/204.33 [383]~E(x3831,x3832)+E(f647(x3833,x3831,x3834),f647(x3833,x3832,x3834))
% 204.32/204.33 [384]~E(x3841,x3842)+E(f647(x3843,x3844,x3841),f647(x3843,x3844,x3842))
% 204.32/204.33 [385]~E(x3851,x3852)+E(f124(x3851,x3853),f124(x3852,x3853))
% 204.32/204.33 [386]~E(x3861,x3862)+E(f124(x3863,x3861),f124(x3863,x3862))
% 204.32/204.33 [387]~E(x3871,x3872)+E(f844(x3871,x3873,x3874,x3875),f844(x3872,x3873,x3874,x3875))
% 204.32/204.33 [388]~E(x3881,x3882)+E(f844(x3883,x3881,x3884,x3885),f844(x3883,x3882,x3884,x3885))
% 204.32/204.33 [389]~E(x3891,x3892)+E(f844(x3893,x3894,x3891,x3895),f844(x3893,x3894,x3892,x3895))
% 204.32/204.33 [390]~E(x3901,x3902)+E(f844(x3903,x3904,x3905,x3901),f844(x3903,x3904,x3905,x3902))
% 204.32/204.33 [391]~E(x3911,x3912)+E(f47(x3911,x3913),f47(x3912,x3913))
% 204.32/204.33 [392]~E(x3921,x3922)+E(f47(x3923,x3921),f47(x3923,x3922))
% 204.32/204.33 [393]~E(x3931,x3932)+E(f669(x3931,x3933,x3934),f669(x3932,x3933,x3934))
% 204.32/204.33 [394]~E(x3941,x3942)+E(f669(x3943,x3941,x3944),f669(x3943,x3942,x3944))
% 204.32/204.33 [395]~E(x3951,x3952)+E(f669(x3953,x3954,x3951),f669(x3953,x3954,x3952))
% 204.32/204.33 [396]~E(x3961,x3962)+E(f856(x3961,x3963,x3964,x3965,x3966,x3967,x3968,x3969),f856(x3962,x3963,x3964,x3965,x3966,x3967,x3968,x3969))
% 204.32/204.33 [397]~E(x3971,x3972)+E(f856(x3973,x3971,x3974,x3975,x3976,x3977,x3978,x3979),f856(x3973,x3972,x3974,x3975,x3976,x3977,x3978,x3979))
% 204.32/204.33 [398]~E(x3981,x3982)+E(f856(x3983,x3984,x3981,x3985,x3986,x3987,x3988,x3989),f856(x3983,x3984,x3982,x3985,x3986,x3987,x3988,x3989))
% 204.32/204.33 [399]~E(x3991,x3992)+E(f856(x3993,x3994,x3995,x3991,x3996,x3997,x3998,x3999),f856(x3993,x3994,x3995,x3992,x3996,x3997,x3998,x3999))
% 204.32/204.33 [400]~E(x4001,x4002)+E(f856(x4003,x4004,x4005,x4006,x4001,x4007,x4008,x4009),f856(x4003,x4004,x4005,x4006,x4002,x4007,x4008,x4009))
% 204.32/204.33 [401]~E(x4011,x4012)+E(f856(x4013,x4014,x4015,x4016,x4017,x4011,x4018,x4019),f856(x4013,x4014,x4015,x4016,x4017,x4012,x4018,x4019))
% 204.32/204.33 [402]~E(x4021,x4022)+E(f856(x4023,x4024,x4025,x4026,x4027,x4028,x4021,x4029),f856(x4023,x4024,x4025,x4026,x4027,x4028,x4022,x4029))
% 204.32/204.33 [403]~E(x4031,x4032)+E(f856(x4033,x4034,x4035,x4036,x4037,x4038,x4039,x4031),f856(x4033,x4034,x4035,x4036,x4037,x4038,x4039,x4032))
% 204.32/204.33 [404]~E(x4041,x4042)+E(f85(x4041,x4043),f85(x4042,x4043))
% 204.32/204.33 [405]~E(x4051,x4052)+E(f85(x4053,x4051),f85(x4053,x4052))
% 204.32/204.33 [406]~E(x4061,x4062)+E(f276(x4061,x4063),f276(x4062,x4063))
% 204.32/204.33 [407]~E(x4071,x4072)+E(f276(x4073,x4071),f276(x4073,x4072))
% 204.32/204.33 [408]~E(x4081,x4082)+E(f90(x4081,x4083),f90(x4082,x4083))
% 204.32/204.33 [409]~E(x4091,x4092)+E(f90(x4093,x4091),f90(x4093,x4092))
% 204.32/204.33 [410]~E(x4101,x4102)+E(f182(x4101,x4103),f182(x4102,x4103))
% 204.32/204.33 [411]~E(x4111,x4112)+E(f182(x4113,x4111),f182(x4113,x4112))
% 204.32/204.33 [412]~E(x4121,x4122)+E(f157(x4121,x4123),f157(x4122,x4123))
% 204.32/204.33 [413]~E(x4131,x4132)+E(f157(x4133,x4131),f157(x4133,x4132))
% 204.32/204.33 [414]~E(x4141,x4142)+E(f267(x4141,x4143),f267(x4142,x4143))
% 204.32/204.33 [415]~E(x4151,x4152)+E(f267(x4153,x4151),f267(x4153,x4152))
% 204.32/204.33 [416]~E(x4161,x4162)+E(f15(x4161,x4163),f15(x4162,x4163))
% 204.32/204.33 [417]~E(x4171,x4172)+E(f15(x4173,x4171),f15(x4173,x4172))
% 204.32/204.33 [418]~E(x4181,x4182)+E(f886(x4181,x4183,x4184,x4185),f886(x4182,x4183,x4184,x4185))
% 204.32/204.33 [419]~E(x4191,x4192)+E(f886(x4193,x4191,x4194,x4195),f886(x4193,x4192,x4194,x4195))
% 204.32/204.33 [420]~E(x4201,x4202)+E(f886(x4203,x4204,x4201,x4205),f886(x4203,x4204,x4202,x4205))
% 204.32/204.33 [421]~E(x4211,x4212)+E(f886(x4213,x4214,x4215,x4211),f886(x4213,x4214,x4215,x4212))
% 204.32/204.33 [422]~E(x4221,x4222)+E(f140(x4221,x4223),f140(x4222,x4223))
% 204.32/204.33 [423]~E(x4231,x4232)+E(f140(x4233,x4231),f140(x4233,x4232))
% 204.32/204.33 [424]~E(x4241,x4242)+E(f153(x4241,x4243,x4244,x4245,x4246),f153(x4242,x4243,x4244,x4245,x4246))
% 204.32/204.33 [425]~E(x4251,x4252)+E(f153(x4253,x4251,x4254,x4255,x4256),f153(x4253,x4252,x4254,x4255,x4256))
% 204.32/204.33 [426]~E(x4261,x4262)+E(f153(x4263,x4264,x4261,x4265,x4266),f153(x4263,x4264,x4262,x4265,x4266))
% 204.32/204.33 [427]~E(x4271,x4272)+E(f153(x4273,x4274,x4275,x4271,x4276),f153(x4273,x4274,x4275,x4272,x4276))
% 204.32/204.33 [428]~E(x4281,x4282)+E(f153(x4283,x4284,x4285,x4286,x4281),f153(x4283,x4284,x4285,x4286,x4282))
% 204.32/204.33 [429]~E(x4291,x4292)+E(f382(x4291),f382(x4292))
% 204.32/204.33 [430]~E(x4301,x4302)+E(f27(x4301,x4303,x4304),f27(x4302,x4303,x4304))
% 204.32/204.33 [431]~E(x4311,x4312)+E(f27(x4313,x4311,x4314),f27(x4313,x4312,x4314))
% 204.32/204.33 [432]~E(x4321,x4322)+E(f27(x4323,x4324,x4321),f27(x4323,x4324,x4322))
% 204.32/204.33 [433]~E(x4331,x4332)+E(f201(x4331,x4333,x4334,x4335),f201(x4332,x4333,x4334,x4335))
% 204.32/204.33 [434]~E(x4341,x4342)+E(f201(x4343,x4341,x4344,x4345),f201(x4343,x4342,x4344,x4345))
% 204.32/204.33 [435]~E(x4351,x4352)+E(f201(x4353,x4354,x4351,x4355),f201(x4353,x4354,x4352,x4355))
% 204.32/204.33 [436]~E(x4361,x4362)+E(f201(x4363,x4364,x4365,x4361),f201(x4363,x4364,x4365,x4362))
% 204.32/204.33 [437]~E(x4371,x4372)+E(f272(x4371,x4373),f272(x4372,x4373))
% 204.32/204.33 [438]~E(x4381,x4382)+E(f272(x4383,x4381),f272(x4383,x4382))
% 204.32/204.33 [439]~E(x4391,x4392)+E(f268(x4391,x4393),f268(x4392,x4393))
% 204.32/204.33 [440]~E(x4401,x4402)+E(f268(x4403,x4401),f268(x4403,x4402))
% 204.32/204.33 [441]~E(x4411,x4412)+E(f384(x4411),f384(x4412))
% 204.32/204.33 [442]~E(x4421,x4422)+E(f290(x4421,x4423),f290(x4422,x4423))
% 204.32/204.33 [443]~E(x4431,x4432)+E(f290(x4433,x4431),f290(x4433,x4432))
% 204.32/204.33 [444]~E(x4441,x4442)+E(f591(x4441,x4443,x4444),f591(x4442,x4443,x4444))
% 204.32/204.33 [445]~E(x4451,x4452)+E(f591(x4453,x4451,x4454),f591(x4453,x4452,x4454))
% 204.32/204.33 [446]~E(x4461,x4462)+E(f591(x4463,x4464,x4461),f591(x4463,x4464,x4462))
% 204.32/204.33 [447]~E(x4471,x4472)+E(f161(x4471,x4473),f161(x4472,x4473))
% 204.32/204.33 [448]~E(x4481,x4482)+E(f161(x4483,x4481),f161(x4483,x4482))
% 204.32/204.33 [449]~E(x4491,x4492)+E(f284(x4491,x4493,x4494,x4495),f284(x4492,x4493,x4494,x4495))
% 204.32/204.33 [450]~E(x4501,x4502)+E(f284(x4503,x4501,x4504,x4505),f284(x4503,x4502,x4504,x4505))
% 204.32/204.33 [451]~E(x4511,x4512)+E(f284(x4513,x4514,x4511,x4515),f284(x4513,x4514,x4512,x4515))
% 204.32/204.33 [452]~E(x4521,x4522)+E(f284(x4523,x4524,x4525,x4521),f284(x4523,x4524,x4525,x4522))
% 204.32/204.33 [453]~E(x4531,x4532)+E(f288(x4531,x4533),f288(x4532,x4533))
% 204.32/204.33 [454]~E(x4541,x4542)+E(f288(x4543,x4541),f288(x4543,x4542))
% 204.32/204.33 [455]~E(x4551,x4552)+E(f65(x4551,x4553,x4554),f65(x4552,x4553,x4554))
% 204.32/204.33 [456]~E(x4561,x4562)+E(f65(x4563,x4561,x4564),f65(x4563,x4562,x4564))
% 204.32/204.33 [457]~E(x4571,x4572)+E(f65(x4573,x4574,x4571),f65(x4573,x4574,x4572))
% 204.32/204.33 [458]~E(x4581,x4582)+E(f261(x4581,x4583,x4584),f261(x4582,x4583,x4584))
% 204.32/204.33 [459]~E(x4591,x4592)+E(f261(x4593,x4591,x4594),f261(x4593,x4592,x4594))
% 204.32/204.33 [460]~E(x4601,x4602)+E(f261(x4603,x4604,x4601),f261(x4603,x4604,x4602))
% 204.32/204.33 [461]~E(x4611,x4612)+E(f163(x4611,x4613),f163(x4612,x4613))
% 204.32/204.33 [462]~E(x4621,x4622)+E(f163(x4623,x4621),f163(x4623,x4622))
% 204.32/204.33 [463]~E(x4631,x4632)+E(f619(x4631,x4633,x4634),f619(x4632,x4633,x4634))
% 204.32/204.33 [464]~E(x4641,x4642)+E(f619(x4643,x4641,x4644),f619(x4643,x4642,x4644))
% 204.32/204.33 [465]~E(x4651,x4652)+E(f619(x4653,x4654,x4651),f619(x4653,x4654,x4652))
% 204.32/204.33 [466]~E(x4661,x4662)+E(f323(x4661,x4663,x4664,x4665),f323(x4662,x4663,x4664,x4665))
% 204.32/204.33 [467]~E(x4671,x4672)+E(f323(x4673,x4671,x4674,x4675),f323(x4673,x4672,x4674,x4675))
% 204.32/204.33 [468]~E(x4681,x4682)+E(f323(x4683,x4684,x4681,x4685),f323(x4683,x4684,x4682,x4685))
% 204.32/204.33 [469]~E(x4691,x4692)+E(f323(x4693,x4694,x4695,x4691),f323(x4693,x4694,x4695,x4692))
% 204.32/204.33 [470]~E(x4701,x4702)+E(f898(x4701,x4703,x4704,x4705,x4706),f898(x4702,x4703,x4704,x4705,x4706))
% 204.32/204.33 [471]~E(x4711,x4712)+E(f898(x4713,x4711,x4714,x4715,x4716),f898(x4713,x4712,x4714,x4715,x4716))
% 204.32/204.33 [472]~E(x4721,x4722)+E(f898(x4723,x4724,x4721,x4725,x4726),f898(x4723,x4724,x4722,x4725,x4726))
% 204.32/204.33 [473]~E(x4731,x4732)+E(f898(x4733,x4734,x4735,x4731,x4736),f898(x4733,x4734,x4735,x4732,x4736))
% 204.32/204.33 [474]~E(x4741,x4742)+E(f898(x4743,x4744,x4745,x4746,x4741),f898(x4743,x4744,x4745,x4746,x4742))
% 204.32/204.33 [475]~E(x4751,x4752)+E(f139(x4751),f139(x4752))
% 204.32/204.33 [476]~E(x4761,x4762)+E(f737(x4761,x4763),f737(x4762,x4763))
% 204.32/204.33 [477]~E(x4771,x4772)+E(f737(x4773,x4771),f737(x4773,x4772))
% 204.32/204.33 [478]~E(x4781,x4782)+E(f13(x4781,x4783,x4784),f13(x4782,x4783,x4784))
% 204.32/204.33 [479]~E(x4791,x4792)+E(f13(x4793,x4791,x4794),f13(x4793,x4792,x4794))
% 204.32/204.33 [480]~E(x4801,x4802)+E(f13(x4803,x4804,x4801),f13(x4803,x4804,x4802))
% 204.32/204.33 [481]~E(x4811,x4812)+E(f183(x4811,x4813),f183(x4812,x4813))
% 204.32/204.33 [482]~E(x4821,x4822)+E(f183(x4823,x4821),f183(x4823,x4822))
% 204.32/204.33 [483]~E(x4831,x4832)+E(f165(x4831,x4833),f165(x4832,x4833))
% 204.32/204.33 [484]~E(x4841,x4842)+E(f165(x4843,x4841),f165(x4843,x4842))
% 204.32/204.33 [485]~E(x4851,x4852)+E(f663(x4851,x4853,x4854,x4855,x4856),f663(x4852,x4853,x4854,x4855,x4856))
% 204.32/204.33 [486]~E(x4861,x4862)+E(f663(x4863,x4861,x4864,x4865,x4866),f663(x4863,x4862,x4864,x4865,x4866))
% 204.32/204.33 [487]~E(x4871,x4872)+E(f663(x4873,x4874,x4871,x4875,x4876),f663(x4873,x4874,x4872,x4875,x4876))
% 204.32/204.33 [488]~E(x4881,x4882)+E(f663(x4883,x4884,x4885,x4881,x4886),f663(x4883,x4884,x4885,x4882,x4886))
% 204.32/204.33 [489]~E(x4891,x4892)+E(f663(x4893,x4894,x4895,x4896,x4891),f663(x4893,x4894,x4895,x4896,x4892))
% 204.32/204.33 [490]~E(x4901,x4902)+E(f262(x4901,x4903,x4904,x4905,x4906,x4907),f262(x4902,x4903,x4904,x4905,x4906,x4907))
% 204.32/204.33 [491]~E(x4911,x4912)+E(f262(x4913,x4911,x4914,x4915,x4916,x4917),f262(x4913,x4912,x4914,x4915,x4916,x4917))
% 204.32/204.33 [492]~E(x4921,x4922)+E(f262(x4923,x4924,x4921,x4925,x4926,x4927),f262(x4923,x4924,x4922,x4925,x4926,x4927))
% 204.32/204.33 [493]~E(x4931,x4932)+E(f262(x4933,x4934,x4935,x4931,x4936,x4937),f262(x4933,x4934,x4935,x4932,x4936,x4937))
% 204.32/204.33 [494]~E(x4941,x4942)+E(f262(x4943,x4944,x4945,x4946,x4941,x4947),f262(x4943,x4944,x4945,x4946,x4942,x4947))
% 204.32/204.33 [495]~E(x4951,x4952)+E(f262(x4953,x4954,x4955,x4956,x4957,x4951),f262(x4953,x4954,x4955,x4956,x4957,x4952))
% 204.32/204.33 [496]~E(x4961,x4962)+E(f318(x4961),f318(x4962))
% 204.32/204.33 [497]~E(x4971,x4972)+E(f911(x4971,x4973,x4974),f911(x4972,x4973,x4974))
% 204.32/204.33 [498]~E(x4981,x4982)+E(f911(x4983,x4981,x4984),f911(x4983,x4982,x4984))
% 204.32/204.33 [499]~E(x4991,x4992)+E(f911(x4993,x4994,x4991),f911(x4993,x4994,x4992))
% 204.32/204.33 [500]~E(x5001,x5002)+E(f916(x5001,x5003,x5004),f916(x5002,x5003,x5004))
% 204.32/204.33 [501]~E(x5011,x5012)+E(f916(x5013,x5011,x5014),f916(x5013,x5012,x5014))
% 204.32/204.33 [502]~E(x5021,x5022)+E(f916(x5023,x5024,x5021),f916(x5023,x5024,x5022))
% 204.32/204.33 [503]~E(x5031,x5032)+E(f906(x5031,x5033,x5034),f906(x5032,x5033,x5034))
% 204.32/204.33 [504]~E(x5041,x5042)+E(f906(x5043,x5041,x5044),f906(x5043,x5042,x5044))
% 204.32/204.33 [505]~E(x5051,x5052)+E(f906(x5053,x5054,x5051),f906(x5053,x5054,x5052))
% 204.32/204.33 [506]~E(x5061,x5062)+E(f847(x5061,x5063,x5064,x5065),f847(x5062,x5063,x5064,x5065))
% 204.32/204.33 [507]~E(x5071,x5072)+E(f847(x5073,x5071,x5074,x5075),f847(x5073,x5072,x5074,x5075))
% 204.32/204.33 [508]~E(x5081,x5082)+E(f847(x5083,x5084,x5081,x5085),f847(x5083,x5084,x5082,x5085))
% 204.32/204.33 [509]~E(x5091,x5092)+E(f847(x5093,x5094,x5095,x5091),f847(x5093,x5094,x5095,x5092))
% 204.32/204.33 [510]~E(x5101,x5102)+E(f780(x5101,x5103,x5104),f780(x5102,x5103,x5104))
% 204.32/204.33 [511]~E(x5111,x5112)+E(f780(x5113,x5111,x5114),f780(x5113,x5112,x5114))
% 204.32/204.33 [512]~E(x5121,x5122)+E(f780(x5123,x5124,x5121),f780(x5123,x5124,x5122))
% 204.32/204.33 [513]~E(x5131,x5132)+E(f683(x5131,x5133,x5134,x5135),f683(x5132,x5133,x5134,x5135))
% 204.32/204.33 [514]~E(x5141,x5142)+E(f683(x5143,x5141,x5144,x5145),f683(x5143,x5142,x5144,x5145))
% 204.32/204.33 [515]~E(x5151,x5152)+E(f683(x5153,x5154,x5151,x5155),f683(x5153,x5154,x5152,x5155))
% 204.32/204.33 [516]~E(x5161,x5162)+E(f683(x5163,x5164,x5165,x5161),f683(x5163,x5164,x5165,x5162))
% 204.32/204.33 [517]~E(x5171,x5172)+E(f478(x5171,x5173),f478(x5172,x5173))
% 204.32/204.33 [518]~E(x5181,x5182)+E(f478(x5183,x5181),f478(x5183,x5182))
% 204.32/204.33 [519]~E(x5191,x5192)+E(f701(x5191,x5193,x5194),f701(x5192,x5193,x5194))
% 204.32/204.33 [520]~E(x5201,x5202)+E(f701(x5203,x5201,x5204),f701(x5203,x5202,x5204))
% 204.32/204.33 [521]~E(x5211,x5212)+E(f701(x5213,x5214,x5211),f701(x5213,x5214,x5212))
% 204.32/204.33 [522]~E(x5221,x5222)+E(f174(x5221,x5223,x5224),f174(x5222,x5223,x5224))
% 204.32/204.33 [523]~E(x5231,x5232)+E(f174(x5233,x5231,x5234),f174(x5233,x5232,x5234))
% 204.32/204.33 [524]~E(x5241,x5242)+E(f174(x5243,x5244,x5241),f174(x5243,x5244,x5242))
% 204.32/204.33 [525]~E(x5251,x5252)+E(f771(x5251,x5253,x5254),f771(x5252,x5253,x5254))
% 204.32/204.33 [526]~E(x5261,x5262)+E(f771(x5263,x5261,x5264),f771(x5263,x5262,x5264))
% 204.32/204.33 [527]~E(x5271,x5272)+E(f771(x5273,x5274,x5271),f771(x5273,x5274,x5272))
% 204.32/204.33 [528]~E(x5281,x5282)+E(f599(x5281,x5283,x5284,x5285,x5286,x5287),f599(x5282,x5283,x5284,x5285,x5286,x5287))
% 204.32/204.33 [529]~E(x5291,x5292)+E(f599(x5293,x5291,x5294,x5295,x5296,x5297),f599(x5293,x5292,x5294,x5295,x5296,x5297))
% 204.32/204.33 [530]~E(x5301,x5302)+E(f599(x5303,x5304,x5301,x5305,x5306,x5307),f599(x5303,x5304,x5302,x5305,x5306,x5307))
% 204.32/204.33 [531]~E(x5311,x5312)+E(f599(x5313,x5314,x5315,x5311,x5316,x5317),f599(x5313,x5314,x5315,x5312,x5316,x5317))
% 204.32/204.33 [532]~E(x5321,x5322)+E(f599(x5323,x5324,x5325,x5326,x5321,x5327),f599(x5323,x5324,x5325,x5326,x5322,x5327))
% 204.32/204.33 [533]~E(x5331,x5332)+E(f599(x5333,x5334,x5335,x5336,x5337,x5331),f599(x5333,x5334,x5335,x5336,x5337,x5332))
% 204.32/204.33 [534]~E(x5341,x5342)+E(f476(x5341,x5343,x5344,x5345),f476(x5342,x5343,x5344,x5345))
% 204.32/204.33 [535]~E(x5351,x5352)+E(f476(x5353,x5351,x5354,x5355),f476(x5353,x5352,x5354,x5355))
% 204.32/204.33 [536]~E(x5361,x5362)+E(f476(x5363,x5364,x5361,x5365),f476(x5363,x5364,x5362,x5365))
% 204.32/204.33 [537]~E(x5371,x5372)+E(f476(x5373,x5374,x5375,x5371),f476(x5373,x5374,x5375,x5372))
% 204.32/204.33 [538]~E(x5381,x5382)+E(f741(x5381,x5383,x5384,x5385,x5386,x5387,x5388,x5389),f741(x5382,x5383,x5384,x5385,x5386,x5387,x5388,x5389))
% 204.32/204.33 [539]~E(x5391,x5392)+E(f741(x5393,x5391,x5394,x5395,x5396,x5397,x5398,x5399),f741(x5393,x5392,x5394,x5395,x5396,x5397,x5398,x5399))
% 204.32/204.33 [540]~E(x5401,x5402)+E(f741(x5403,x5404,x5401,x5405,x5406,x5407,x5408,x5409),f741(x5403,x5404,x5402,x5405,x5406,x5407,x5408,x5409))
% 204.32/204.33 [541]~E(x5411,x5412)+E(f741(x5413,x5414,x5415,x5411,x5416,x5417,x5418,x5419),f741(x5413,x5414,x5415,x5412,x5416,x5417,x5418,x5419))
% 204.32/204.33 [542]~E(x5421,x5422)+E(f741(x5423,x5424,x5425,x5426,x5421,x5427,x5428,x5429),f741(x5423,x5424,x5425,x5426,x5422,x5427,x5428,x5429))
% 204.32/204.33 [543]~E(x5431,x5432)+E(f741(x5433,x5434,x5435,x5436,x5437,x5431,x5438,x5439),f741(x5433,x5434,x5435,x5436,x5437,x5432,x5438,x5439))
% 204.32/204.33 [544]~E(x5441,x5442)+E(f741(x5443,x5444,x5445,x5446,x5447,x5448,x5441,x5449),f741(x5443,x5444,x5445,x5446,x5447,x5448,x5442,x5449))
% 204.32/204.33 [545]~E(x5451,x5452)+E(f741(x5453,x5454,x5455,x5456,x5457,x5458,x5459,x5451),f741(x5453,x5454,x5455,x5456,x5457,x5458,x5459,x5452))
% 204.32/204.33 [546]~E(x5461,x5462)+E(f50(x5461,x5463),f50(x5462,x5463))
% 204.32/204.33 [547]~E(x5471,x5472)+E(f50(x5473,x5471),f50(x5473,x5472))
% 204.32/204.33 [548]~E(x5481,x5482)+E(f629(x5481,x5483,x5484,x5485,x5486),f629(x5482,x5483,x5484,x5485,x5486))
% 204.32/204.33 [549]~E(x5491,x5492)+E(f629(x5493,x5491,x5494,x5495,x5496),f629(x5493,x5492,x5494,x5495,x5496))
% 204.32/204.33 [550]~E(x5501,x5502)+E(f629(x5503,x5504,x5501,x5505,x5506),f629(x5503,x5504,x5502,x5505,x5506))
% 204.32/204.33 [551]~E(x5511,x5512)+E(f629(x5513,x5514,x5515,x5511,x5516),f629(x5513,x5514,x5515,x5512,x5516))
% 204.32/204.33 [552]~E(x5521,x5522)+E(f629(x5523,x5524,x5525,x5526,x5521),f629(x5523,x5524,x5525,x5526,x5522))
% 204.32/204.33 [553]~E(x5531,x5532)+E(f149(x5531,x5533),f149(x5532,x5533))
% 204.32/204.33 [554]~E(x5541,x5542)+E(f149(x5543,x5541),f149(x5543,x5542))
% 204.32/204.33 [555]~E(x5551,x5552)+E(f566(x5551,x5553,x5554,x5555,x5556),f566(x5552,x5553,x5554,x5555,x5556))
% 204.32/204.33 [556]~E(x5561,x5562)+E(f566(x5563,x5561,x5564,x5565,x5566),f566(x5563,x5562,x5564,x5565,x5566))
% 204.32/204.33 [557]~E(x5571,x5572)+E(f566(x5573,x5574,x5571,x5575,x5576),f566(x5573,x5574,x5572,x5575,x5576))
% 204.32/204.33 [558]~E(x5581,x5582)+E(f566(x5583,x5584,x5585,x5581,x5586),f566(x5583,x5584,x5585,x5582,x5586))
% 204.32/204.33 [559]~E(x5591,x5592)+E(f566(x5593,x5594,x5595,x5596,x5591),f566(x5593,x5594,x5595,x5596,x5592))
% 204.32/204.33 [560]~E(x5601,x5602)+E(f77(x5601,x5603,x5604,x5605),f77(x5602,x5603,x5604,x5605))
% 204.32/204.33 [561]~E(x5611,x5612)+E(f77(x5613,x5611,x5614,x5615),f77(x5613,x5612,x5614,x5615))
% 204.32/204.33 [562]~E(x5621,x5622)+E(f77(x5623,x5624,x5621,x5625),f77(x5623,x5624,x5622,x5625))
% 204.32/204.33 [563]~E(x5631,x5632)+E(f77(x5633,x5634,x5635,x5631),f77(x5633,x5634,x5635,x5632))
% 204.32/204.33 [564]~E(x5641,x5642)+E(f509(x5641,x5643,x5644),f509(x5642,x5643,x5644))
% 204.32/204.33 [565]~E(x5651,x5652)+E(f509(x5653,x5651,x5654),f509(x5653,x5652,x5654))
% 204.32/204.33 [566]~E(x5661,x5662)+E(f509(x5663,x5664,x5661),f509(x5663,x5664,x5662))
% 204.32/204.33 [567]~E(x5671,x5672)+E(f700(x5671,x5673,x5674),f700(x5672,x5673,x5674))
% 204.32/204.33 [568]~E(x5681,x5682)+E(f700(x5683,x5681,x5684),f700(x5683,x5682,x5684))
% 204.32/204.33 [569]~E(x5691,x5692)+E(f700(x5693,x5694,x5691),f700(x5693,x5694,x5692))
% 204.32/204.33 [570]~E(x5701,x5702)+E(f718(x5701,x5703),f718(x5702,x5703))
% 204.32/204.33 [571]~E(x5711,x5712)+E(f718(x5713,x5711),f718(x5713,x5712))
% 204.32/204.33 [572]~E(x5721,x5722)+E(f822(x5721,x5723,x5724,x5725,x5726,x5727),f822(x5722,x5723,x5724,x5725,x5726,x5727))
% 204.32/204.33 [573]~E(x5731,x5732)+E(f822(x5733,x5731,x5734,x5735,x5736,x5737),f822(x5733,x5732,x5734,x5735,x5736,x5737))
% 204.32/204.33 [574]~E(x5741,x5742)+E(f822(x5743,x5744,x5741,x5745,x5746,x5747),f822(x5743,x5744,x5742,x5745,x5746,x5747))
% 204.32/204.33 [575]~E(x5751,x5752)+E(f822(x5753,x5754,x5755,x5751,x5756,x5757),f822(x5753,x5754,x5755,x5752,x5756,x5757))
% 204.32/204.33 [576]~E(x5761,x5762)+E(f822(x5763,x5764,x5765,x5766,x5761,x5767),f822(x5763,x5764,x5765,x5766,x5762,x5767))
% 204.32/204.33 [577]~E(x5771,x5772)+E(f822(x5773,x5774,x5775,x5776,x5777,x5771),f822(x5773,x5774,x5775,x5776,x5777,x5772))
% 204.32/204.33 [578]~E(x5781,x5782)+E(f751(x5781,x5783,x5784,x5785,x5786),f751(x5782,x5783,x5784,x5785,x5786))
% 204.32/204.33 [579]~E(x5791,x5792)+E(f751(x5793,x5791,x5794,x5795,x5796),f751(x5793,x5792,x5794,x5795,x5796))
% 204.32/204.33 [580]~E(x5801,x5802)+E(f751(x5803,x5804,x5801,x5805,x5806),f751(x5803,x5804,x5802,x5805,x5806))
% 204.32/204.33 [581]~E(x5811,x5812)+E(f751(x5813,x5814,x5815,x5811,x5816),f751(x5813,x5814,x5815,x5812,x5816))
% 204.32/204.33 [582]~E(x5821,x5822)+E(f751(x5823,x5824,x5825,x5826,x5821),f751(x5823,x5824,x5825,x5826,x5822))
% 204.32/204.33 [583]~E(x5831,x5832)+E(f815(x5831),f815(x5832))
% 204.32/204.33 [584]~E(x5841,x5842)+E(f890(x5841,x5843,x5844,x5845),f890(x5842,x5843,x5844,x5845))
% 204.32/204.33 [585]~E(x5851,x5852)+E(f890(x5853,x5851,x5854,x5855),f890(x5853,x5852,x5854,x5855))
% 204.32/204.33 [586]~E(x5861,x5862)+E(f890(x5863,x5864,x5861,x5865),f890(x5863,x5864,x5862,x5865))
% 204.32/204.33 [587]~E(x5871,x5872)+E(f890(x5873,x5874,x5875,x5871),f890(x5873,x5874,x5875,x5872))
% 204.32/204.33 [588]~E(x5881,x5882)+E(f684(x5881,x5883,x5884),f684(x5882,x5883,x5884))
% 204.32/204.33 [589]~E(x5891,x5892)+E(f684(x5893,x5891,x5894),f684(x5893,x5892,x5894))
% 204.32/204.33 [590]~E(x5901,x5902)+E(f684(x5903,x5904,x5901),f684(x5903,x5904,x5902))
% 204.32/204.33 [591]~E(x5911,x5912)+E(f180(x5911,x5913,x5914),f180(x5912,x5913,x5914))
% 204.32/204.33 [592]~E(x5921,x5922)+E(f180(x5923,x5921,x5924),f180(x5923,x5922,x5924))
% 204.32/204.33 [593]~E(x5931,x5932)+E(f180(x5933,x5934,x5931),f180(x5933,x5934,x5932))
% 204.32/204.33 [594]~E(x5941,x5942)+E(f129(x5941,x5943),f129(x5942,x5943))
% 204.32/204.33 [595]~E(x5951,x5952)+E(f129(x5953,x5951),f129(x5953,x5952))
% 204.32/204.33 [596]~E(x5961,x5962)+E(f308(x5961),f308(x5962))
% 204.32/204.33 [597]~E(x5971,x5972)+E(f493(x5971,x5973),f493(x5972,x5973))
% 204.32/204.33 [598]~E(x5981,x5982)+E(f493(x5983,x5981),f493(x5983,x5982))
% 204.32/204.33 [599]~E(x5991,x5992)+E(f151(x5991,x5993),f151(x5992,x5993))
% 204.32/204.33 [600]~E(x6001,x6002)+E(f151(x6003,x6001),f151(x6003,x6002))
% 204.32/204.33 [601]~E(x6011,x6012)+E(f816(x6011),f816(x6012))
% 204.32/204.33 [602]~E(x6021,x6022)+E(f132(x6021,x6023),f132(x6022,x6023))
% 204.32/204.33 [603]~E(x6031,x6032)+E(f132(x6033,x6031),f132(x6033,x6032))
% 204.32/204.33 [604]~E(x6041,x6042)+E(f870(x6041,x6043,x6044),f870(x6042,x6043,x6044))
% 204.32/204.33 [605]~E(x6051,x6052)+E(f870(x6053,x6051,x6054),f870(x6053,x6052,x6054))
% 204.32/204.33 [606]~E(x6061,x6062)+E(f870(x6063,x6064,x6061),f870(x6063,x6064,x6062))
% 204.32/204.33 [607]~E(x6071,x6072)+E(f553(x6071,x6073,x6074,x6075),f553(x6072,x6073,x6074,x6075))
% 204.32/204.33 [608]~E(x6081,x6082)+E(f553(x6083,x6081,x6084,x6085),f553(x6083,x6082,x6084,x6085))
% 204.32/204.33 [609]~E(x6091,x6092)+E(f553(x6093,x6094,x6091,x6095),f553(x6093,x6094,x6092,x6095))
% 204.32/204.33 [610]~E(x6101,x6102)+E(f553(x6103,x6104,x6105,x6101),f553(x6103,x6104,x6105,x6102))
% 204.32/204.33 [611]~E(x6111,x6112)+E(f576(x6111,x6113,x6114),f576(x6112,x6113,x6114))
% 204.32/204.33 [612]~E(x6121,x6122)+E(f576(x6123,x6121,x6124),f576(x6123,x6122,x6124))
% 204.32/204.33 [613]~E(x6131,x6132)+E(f576(x6133,x6134,x6131),f576(x6133,x6134,x6132))
% 204.32/204.33 [614]~E(x6141,x6142)+E(f499(x6141,x6143,x6144),f499(x6142,x6143,x6144))
% 204.32/204.33 [615]~E(x6151,x6152)+E(f499(x6153,x6151,x6154),f499(x6153,x6152,x6154))
% 204.32/204.33 [616]~E(x6161,x6162)+E(f499(x6163,x6164,x6161),f499(x6163,x6164,x6162))
% 204.32/204.33 [617]~E(x6171,x6172)+E(f460(x6171,x6173,x6174,x6175,x6176),f460(x6172,x6173,x6174,x6175,x6176))
% 204.32/204.33 [618]~E(x6181,x6182)+E(f460(x6183,x6181,x6184,x6185,x6186),f460(x6183,x6182,x6184,x6185,x6186))
% 204.32/204.33 [619]~E(x6191,x6192)+E(f460(x6193,x6194,x6191,x6195,x6196),f460(x6193,x6194,x6192,x6195,x6196))
% 204.32/204.33 [620]~E(x6201,x6202)+E(f460(x6203,x6204,x6205,x6201,x6206),f460(x6203,x6204,x6205,x6202,x6206))
% 204.32/204.33 [621]~E(x6211,x6212)+E(f460(x6213,x6214,x6215,x6216,x6211),f460(x6213,x6214,x6215,x6216,x6212))
% 204.32/204.33 [622]~E(x6221,x6222)+E(f88(x6221),f88(x6222))
% 204.32/204.33 [623]~E(x6231,x6232)+E(f152(x6231,x6233,x6234),f152(x6232,x6233,x6234))
% 204.32/204.33 [624]~E(x6241,x6242)+E(f152(x6243,x6241,x6244),f152(x6243,x6242,x6244))
% 204.32/204.33 [625]~E(x6251,x6252)+E(f152(x6253,x6254,x6251),f152(x6253,x6254,x6252))
% 204.32/204.33 [626]~E(x6261,x6262)+E(f867(x6261,x6263,x6264),f867(x6262,x6263,x6264))
% 204.32/204.33 [627]~E(x6271,x6272)+E(f867(x6273,x6271,x6274),f867(x6273,x6272,x6274))
% 204.32/204.33 [628]~E(x6281,x6282)+E(f867(x6283,x6284,x6281),f867(x6283,x6284,x6282))
% 204.32/204.33 [629]~E(x6291,x6292)+E(f812(x6291,x6293),f812(x6292,x6293))
% 204.32/204.33 [630]~E(x6301,x6302)+E(f812(x6303,x6301),f812(x6303,x6302))
% 204.32/204.33 [631]~E(x6311,x6312)+E(f575(x6311),f575(x6312))
% 204.32/204.33 [632]~E(x6321,x6322)+E(f55(x6321,x6323,x6324),f55(x6322,x6323,x6324))
% 204.32/204.33 [633]~E(x6331,x6332)+E(f55(x6333,x6331,x6334),f55(x6333,x6332,x6334))
% 204.32/204.33 [634]~E(x6341,x6342)+E(f55(x6343,x6344,x6341),f55(x6343,x6344,x6342))
% 204.32/204.33 [635]~E(x6351,x6352)+E(f776(x6351,x6353,x6354),f776(x6352,x6353,x6354))
% 204.32/204.33 [636]~E(x6361,x6362)+E(f776(x6363,x6361,x6364),f776(x6363,x6362,x6364))
% 204.32/204.33 [637]~E(x6371,x6372)+E(f776(x6373,x6374,x6371),f776(x6373,x6374,x6372))
% 204.32/204.33 [638]~E(x6381,x6382)+E(f504(x6381,x6383,x6384,x6385,x6386,x6387,x6388),f504(x6382,x6383,x6384,x6385,x6386,x6387,x6388))
% 204.32/204.33 [639]~E(x6391,x6392)+E(f504(x6393,x6391,x6394,x6395,x6396,x6397,x6398),f504(x6393,x6392,x6394,x6395,x6396,x6397,x6398))
% 204.32/204.33 [640]~E(x6401,x6402)+E(f504(x6403,x6404,x6401,x6405,x6406,x6407,x6408),f504(x6403,x6404,x6402,x6405,x6406,x6407,x6408))
% 204.32/204.33 [641]~E(x6411,x6412)+E(f504(x6413,x6414,x6415,x6411,x6416,x6417,x6418),f504(x6413,x6414,x6415,x6412,x6416,x6417,x6418))
% 204.32/204.33 [642]~E(x6421,x6422)+E(f504(x6423,x6424,x6425,x6426,x6421,x6427,x6428),f504(x6423,x6424,x6425,x6426,x6422,x6427,x6428))
% 204.32/204.33 [643]~E(x6431,x6432)+E(f504(x6433,x6434,x6435,x6436,x6437,x6431,x6438),f504(x6433,x6434,x6435,x6436,x6437,x6432,x6438))
% 204.32/204.33 [644]~E(x6441,x6442)+E(f504(x6443,x6444,x6445,x6446,x6447,x6448,x6441),f504(x6443,x6444,x6445,x6446,x6447,x6448,x6442))
% 204.32/204.33 [645]~E(x6451,x6452)+E(f62(x6451,x6453,x6454),f62(x6452,x6453,x6454))
% 204.32/204.33 [646]~E(x6461,x6462)+E(f62(x6463,x6461,x6464),f62(x6463,x6462,x6464))
% 204.32/204.33 [647]~E(x6471,x6472)+E(f62(x6473,x6474,x6471),f62(x6473,x6474,x6472))
% 204.32/204.33 [648]~E(x6481,x6482)+E(f75(x6481,x6483,x6484,x6485,x6486),f75(x6482,x6483,x6484,x6485,x6486))
% 204.32/204.33 [649]~E(x6491,x6492)+E(f75(x6493,x6491,x6494,x6495,x6496),f75(x6493,x6492,x6494,x6495,x6496))
% 204.32/204.33 [650]~E(x6501,x6502)+E(f75(x6503,x6504,x6501,x6505,x6506),f75(x6503,x6504,x6502,x6505,x6506))
% 204.32/204.33 [651]~E(x6511,x6512)+E(f75(x6513,x6514,x6515,x6511,x6516),f75(x6513,x6514,x6515,x6512,x6516))
% 204.32/204.33 [652]~E(x6521,x6522)+E(f75(x6523,x6524,x6525,x6526,x6521),f75(x6523,x6524,x6525,x6526,x6522))
% 204.32/204.33 [653]~E(x6531,x6532)+E(f453(x6531,x6533),f453(x6532,x6533))
% 204.32/204.33 [654]~E(x6541,x6542)+E(f453(x6543,x6541),f453(x6543,x6542))
% 204.32/204.33 [655]~E(x6551,x6552)+E(f772(x6551,x6553,x6554,x6555),f772(x6552,x6553,x6554,x6555))
% 204.32/204.33 [656]~E(x6561,x6562)+E(f772(x6563,x6561,x6564,x6565),f772(x6563,x6562,x6564,x6565))
% 204.32/204.33 [657]~E(x6571,x6572)+E(f772(x6573,x6574,x6571,x6575),f772(x6573,x6574,x6572,x6575))
% 204.32/204.33 [658]~E(x6581,x6582)+E(f772(x6583,x6584,x6585,x6581),f772(x6583,x6584,x6585,x6582))
% 204.32/204.33 [659]~E(x6591,x6592)+E(f29(x6591,x6593),f29(x6592,x6593))
% 204.32/204.33 [660]~E(x6601,x6602)+E(f29(x6603,x6601),f29(x6603,x6602))
% 204.32/204.33 [661]~E(x6611,x6612)+E(f739(x6611,x6613),f739(x6612,x6613))
% 204.32/204.33 [662]~E(x6621,x6622)+E(f739(x6623,x6621),f739(x6623,x6622))
% 204.32/204.33 [663]~E(x6631,x6632)+E(f679(x6631,x6633),f679(x6632,x6633))
% 204.32/204.33 [664]~E(x6641,x6642)+E(f679(x6643,x6641),f679(x6643,x6642))
% 204.32/204.33 [665]~E(x6651,x6652)+E(f390(x6651,x6653,x6654),f390(x6652,x6653,x6654))
% 204.32/204.33 [666]~E(x6661,x6662)+E(f390(x6663,x6661,x6664),f390(x6663,x6662,x6664))
% 204.32/204.33 [667]~E(x6671,x6672)+E(f390(x6673,x6674,x6671),f390(x6673,x6674,x6672))
% 204.32/204.33 [668]~E(x6681,x6682)+E(f877(x6681,x6683,x6684),f877(x6682,x6683,x6684))
% 204.32/204.33 [669]~E(x6691,x6692)+E(f877(x6693,x6691,x6694),f877(x6693,x6692,x6694))
% 204.32/204.33 [670]~E(x6701,x6702)+E(f877(x6703,x6704,x6701),f877(x6703,x6704,x6702))
% 204.32/204.33 [671]~E(x6711,x6712)+E(f710(x6711,x6713),f710(x6712,x6713))
% 204.32/204.33 [672]~E(x6721,x6722)+E(f710(x6723,x6721),f710(x6723,x6722))
% 204.32/204.33 [673]~E(x6731,x6732)+E(f580(x6731,x6733,x6734,x6735),f580(x6732,x6733,x6734,x6735))
% 204.32/204.33 [674]~E(x6741,x6742)+E(f580(x6743,x6741,x6744,x6745),f580(x6743,x6742,x6744,x6745))
% 204.32/204.33 [675]~E(x6751,x6752)+E(f580(x6753,x6754,x6751,x6755),f580(x6753,x6754,x6752,x6755))
% 204.32/204.33 [676]~E(x6761,x6762)+E(f580(x6763,x6764,x6765,x6761),f580(x6763,x6764,x6765,x6762))
% 204.32/204.33 [677]~E(x6771,x6772)+E(f312(x6771),f312(x6772))
% 204.32/204.33 [678]~E(x6781,x6782)+E(f403(x6781,x6783,x6784,x6785),f403(x6782,x6783,x6784,x6785))
% 204.32/204.33 [679]~E(x6791,x6792)+E(f403(x6793,x6791,x6794,x6795),f403(x6793,x6792,x6794,x6795))
% 204.32/204.33 [680]~E(x6801,x6802)+E(f403(x6803,x6804,x6801,x6805),f403(x6803,x6804,x6802,x6805))
% 204.32/204.33 [681]~E(x6811,x6812)+E(f403(x6813,x6814,x6815,x6811),f403(x6813,x6814,x6815,x6812))
% 204.32/204.33 [682]~E(x6821,x6822)+E(f57(x6821),f57(x6822))
% 204.32/204.33 [683]~E(x6831,x6832)+E(f677(x6831,x6833,x6834,x6835),f677(x6832,x6833,x6834,x6835))
% 204.32/204.33 [684]~E(x6841,x6842)+E(f677(x6843,x6841,x6844,x6845),f677(x6843,x6842,x6844,x6845))
% 204.32/204.33 [685]~E(x6851,x6852)+E(f677(x6853,x6854,x6851,x6855),f677(x6853,x6854,x6852,x6855))
% 204.32/204.33 [686]~E(x6861,x6862)+E(f677(x6863,x6864,x6865,x6861),f677(x6863,x6864,x6865,x6862))
% 204.32/204.33 [687]~E(x6871,x6872)+E(f337(x6871),f337(x6872))
% 204.32/204.33 [688]~E(x6881,x6882)+E(f913(x6881,x6883,x6884,x6885,x6886,x6887,x6888),f913(x6882,x6883,x6884,x6885,x6886,x6887,x6888))
% 204.32/204.33 [689]~E(x6891,x6892)+E(f913(x6893,x6891,x6894,x6895,x6896,x6897,x6898),f913(x6893,x6892,x6894,x6895,x6896,x6897,x6898))
% 204.32/204.33 [690]~E(x6901,x6902)+E(f913(x6903,x6904,x6901,x6905,x6906,x6907,x6908),f913(x6903,x6904,x6902,x6905,x6906,x6907,x6908))
% 204.32/204.33 [691]~E(x6911,x6912)+E(f913(x6913,x6914,x6915,x6911,x6916,x6917,x6918),f913(x6913,x6914,x6915,x6912,x6916,x6917,x6918))
% 204.32/204.33 [692]~E(x6921,x6922)+E(f913(x6923,x6924,x6925,x6926,x6921,x6927,x6928),f913(x6923,x6924,x6925,x6926,x6922,x6927,x6928))
% 204.32/204.33 [693]~E(x6931,x6932)+E(f913(x6933,x6934,x6935,x6936,x6937,x6931,x6938),f913(x6933,x6934,x6935,x6936,x6937,x6932,x6938))
% 204.32/204.33 [694]~E(x6941,x6942)+E(f913(x6943,x6944,x6945,x6946,x6947,x6948,x6941),f913(x6943,x6944,x6945,x6946,x6947,x6948,x6942))
% 204.32/204.33 [695]~E(x6951,x6952)+E(f854(x6951,x6953,x6954,x6955,x6956,x6957,x6958),f854(x6952,x6953,x6954,x6955,x6956,x6957,x6958))
% 204.32/204.33 [696]~E(x6961,x6962)+E(f854(x6963,x6961,x6964,x6965,x6966,x6967,x6968),f854(x6963,x6962,x6964,x6965,x6966,x6967,x6968))
% 204.32/204.33 [697]~E(x6971,x6972)+E(f854(x6973,x6974,x6971,x6975,x6976,x6977,x6978),f854(x6973,x6974,x6972,x6975,x6976,x6977,x6978))
% 204.32/204.33 [698]~E(x6981,x6982)+E(f854(x6983,x6984,x6985,x6981,x6986,x6987,x6988),f854(x6983,x6984,x6985,x6982,x6986,x6987,x6988))
% 204.32/204.33 [699]~E(x6991,x6992)+E(f854(x6993,x6994,x6995,x6996,x6991,x6997,x6998),f854(x6993,x6994,x6995,x6996,x6992,x6997,x6998))
% 204.32/204.33 [700]~E(x7001,x7002)+E(f854(x7003,x7004,x7005,x7006,x7007,x7001,x7008),f854(x7003,x7004,x7005,x7006,x7007,x7002,x7008))
% 204.32/204.33 [701]~E(x7011,x7012)+E(f854(x7013,x7014,x7015,x7016,x7017,x7018,x7011),f854(x7013,x7014,x7015,x7016,x7017,x7018,x7012))
% 204.32/204.33 [702]~E(x7021,x7022)+E(f64(x7021,x7023,x7024),f64(x7022,x7023,x7024))
% 204.32/204.33 [703]~E(x7031,x7032)+E(f64(x7033,x7031,x7034),f64(x7033,x7032,x7034))
% 204.32/204.33 [704]~E(x7041,x7042)+E(f64(x7043,x7044,x7041),f64(x7043,x7044,x7042))
% 204.32/204.33 [705]~E(x7051,x7052)+E(f869(x7051,x7053,x7054),f869(x7052,x7053,x7054))
% 204.32/204.33 [706]~E(x7061,x7062)+E(f869(x7063,x7061,x7064),f869(x7063,x7062,x7064))
% 204.32/204.33 [707]~E(x7071,x7072)+E(f869(x7073,x7074,x7071),f869(x7073,x7074,x7072))
% 204.32/204.33 [708]~E(x7081,x7082)+E(f800(x7081,x7083),f800(x7082,x7083))
% 204.32/204.33 [709]~E(x7091,x7092)+E(f800(x7093,x7091),f800(x7093,x7092))
% 204.32/204.33 [710]~E(x7101,x7102)+E(f430(x7101,x7103,x7104,x7105),f430(x7102,x7103,x7104,x7105))
% 204.32/204.33 [711]~E(x7111,x7112)+E(f430(x7113,x7111,x7114,x7115),f430(x7113,x7112,x7114,x7115))
% 204.32/204.33 [712]~E(x7121,x7122)+E(f430(x7123,x7124,x7121,x7125),f430(x7123,x7124,x7122,x7125))
% 204.32/204.33 [713]~E(x7131,x7132)+E(f430(x7133,x7134,x7135,x7131),f430(x7133,x7134,x7135,x7132))
% 204.32/204.33 [714]~E(x7141,x7142)+E(f458(x7141,x7143,x7144,x7145,x7146),f458(x7142,x7143,x7144,x7145,x7146))
% 204.32/204.33 [715]~E(x7151,x7152)+E(f458(x7153,x7151,x7154,x7155,x7156),f458(x7153,x7152,x7154,x7155,x7156))
% 204.32/204.33 [716]~E(x7161,x7162)+E(f458(x7163,x7164,x7161,x7165,x7166),f458(x7163,x7164,x7162,x7165,x7166))
% 204.32/204.33 [717]~E(x7171,x7172)+E(f458(x7173,x7174,x7175,x7171,x7176),f458(x7173,x7174,x7175,x7172,x7176))
% 204.32/204.33 [718]~E(x7181,x7182)+E(f458(x7183,x7184,x7185,x7186,x7181),f458(x7183,x7184,x7185,x7186,x7182))
% 204.32/204.33 [719]~E(x7191,x7192)+E(f836(x7191,x7193,x7194,x7195,x7196),f836(x7192,x7193,x7194,x7195,x7196))
% 204.32/204.33 [720]~E(x7201,x7202)+E(f836(x7203,x7201,x7204,x7205,x7206),f836(x7203,x7202,x7204,x7205,x7206))
% 204.32/204.33 [721]~E(x7211,x7212)+E(f836(x7213,x7214,x7211,x7215,x7216),f836(x7213,x7214,x7212,x7215,x7216))
% 204.32/204.33 [722]~E(x7221,x7222)+E(f836(x7223,x7224,x7225,x7221,x7226),f836(x7223,x7224,x7225,x7222,x7226))
% 204.32/204.33 [723]~E(x7231,x7232)+E(f836(x7233,x7234,x7235,x7236,x7231),f836(x7233,x7234,x7235,x7236,x7232))
% 204.32/204.33 [724]~E(x7241,x7242)+E(f820(x7241,x7243,x7244,x7245,x7246),f820(x7242,x7243,x7244,x7245,x7246))
% 204.32/204.33 [725]~E(x7251,x7252)+E(f820(x7253,x7251,x7254,x7255,x7256),f820(x7253,x7252,x7254,x7255,x7256))
% 204.32/204.33 [726]~E(x7261,x7262)+E(f820(x7263,x7264,x7261,x7265,x7266),f820(x7263,x7264,x7262,x7265,x7266))
% 204.32/204.33 [727]~E(x7271,x7272)+E(f820(x7273,x7274,x7275,x7271,x7276),f820(x7273,x7274,x7275,x7272,x7276))
% 204.32/204.33 [728]~E(x7281,x7282)+E(f820(x7283,x7284,x7285,x7286,x7281),f820(x7283,x7284,x7285,x7286,x7282))
% 204.32/204.33 [729]~E(x7291,x7292)+E(f766(x7291,x7293,x7294),f766(x7292,x7293,x7294))
% 204.32/204.33 [730]~E(x7301,x7302)+E(f766(x7303,x7301,x7304),f766(x7303,x7302,x7304))
% 204.32/204.33 [731]~E(x7311,x7312)+E(f766(x7313,x7314,x7311),f766(x7313,x7314,x7312))
% 204.32/204.33 [732]~E(x7321,x7322)+E(f434(x7321,x7323,x7324,x7325),f434(x7322,x7323,x7324,x7325))
% 204.32/204.33 [733]~E(x7331,x7332)+E(f434(x7333,x7331,x7334,x7335),f434(x7333,x7332,x7334,x7335))
% 204.32/204.33 [734]~E(x7341,x7342)+E(f434(x7343,x7344,x7341,x7345),f434(x7343,x7344,x7342,x7345))
% 204.32/204.33 [735]~E(x7351,x7352)+E(f434(x7353,x7354,x7355,x7351),f434(x7353,x7354,x7355,x7352))
% 204.32/204.33 [736]~E(x7361,x7362)+E(f910(x7361,x7363),f910(x7362,x7363))
% 204.32/204.33 [737]~E(x7371,x7372)+E(f910(x7373,x7371),f910(x7373,x7372))
% 204.32/204.33 [738]~E(x7381,x7382)+E(f720(x7381,x7383,x7384),f720(x7382,x7383,x7384))
% 204.32/204.33 [739]~E(x7391,x7392)+E(f720(x7393,x7391,x7394),f720(x7393,x7392,x7394))
% 204.32/204.33 [740]~E(x7401,x7402)+E(f720(x7403,x7404,x7401),f720(x7403,x7404,x7402))
% 204.32/204.33 [741]~E(x7411,x7412)+E(f357(x7411,x7413,x7414,x7415,x7416),f357(x7412,x7413,x7414,x7415,x7416))
% 204.32/204.33 [742]~E(x7421,x7422)+E(f357(x7423,x7421,x7424,x7425,x7426),f357(x7423,x7422,x7424,x7425,x7426))
% 204.32/204.33 [743]~E(x7431,x7432)+E(f357(x7433,x7434,x7431,x7435,x7436),f357(x7433,x7434,x7432,x7435,x7436))
% 204.32/204.33 [744]~E(x7441,x7442)+E(f357(x7443,x7444,x7445,x7441,x7446),f357(x7443,x7444,x7445,x7442,x7446))
% 204.32/204.33 [745]~E(x7451,x7452)+E(f357(x7453,x7454,x7455,x7456,x7451),f357(x7453,x7454,x7455,x7456,x7452))
% 204.32/204.33 [746]~E(x7461,x7462)+E(f113(x7461),f113(x7462))
% 204.32/204.33 [747]~E(x7471,x7472)+E(f252(x7471,x7473),f252(x7472,x7473))
% 204.32/204.33 [748]~E(x7481,x7482)+E(f252(x7483,x7481),f252(x7483,x7482))
% 204.32/204.33 [749]~E(x7491,x7492)+E(f188(x7491,x7493,x7494),f188(x7492,x7493,x7494))
% 204.32/204.33 [750]~E(x7501,x7502)+E(f188(x7503,x7501,x7504),f188(x7503,x7502,x7504))
% 204.32/204.33 [751]~E(x7511,x7512)+E(f188(x7513,x7514,x7511),f188(x7513,x7514,x7512))
% 204.32/204.33 [752]~E(x7521,x7522)+E(f662(x7521,x7523,x7524,x7525,x7526),f662(x7522,x7523,x7524,x7525,x7526))
% 204.32/204.33 [753]~E(x7531,x7532)+E(f662(x7533,x7531,x7534,x7535,x7536),f662(x7533,x7532,x7534,x7535,x7536))
% 204.32/204.33 [754]~E(x7541,x7542)+E(f662(x7543,x7544,x7541,x7545,x7546),f662(x7543,x7544,x7542,x7545,x7546))
% 204.32/204.33 [755]~E(x7551,x7552)+E(f662(x7553,x7554,x7555,x7551,x7556),f662(x7553,x7554,x7555,x7552,x7556))
% 204.32/204.33 [756]~E(x7561,x7562)+E(f662(x7563,x7564,x7565,x7566,x7561),f662(x7563,x7564,x7565,x7566,x7562))
% 204.32/204.33 [757]~E(x7571,x7572)+E(f370(x7571,x7573,x7574),f370(x7572,x7573,x7574))
% 204.32/204.33 [758]~E(x7581,x7582)+E(f370(x7583,x7581,x7584),f370(x7583,x7582,x7584))
% 204.32/204.33 [759]~E(x7591,x7592)+E(f370(x7593,x7594,x7591),f370(x7593,x7594,x7592))
% 204.32/204.33 [760]~E(x7601,x7602)+E(f744(x7601,x7603,x7604,x7605,x7606),f744(x7602,x7603,x7604,x7605,x7606))
% 204.32/204.33 [761]~E(x7611,x7612)+E(f744(x7613,x7611,x7614,x7615,x7616),f744(x7613,x7612,x7614,x7615,x7616))
% 204.32/204.33 [762]~E(x7621,x7622)+E(f744(x7623,x7624,x7621,x7625,x7626),f744(x7623,x7624,x7622,x7625,x7626))
% 204.32/204.33 [763]~E(x7631,x7632)+E(f744(x7633,x7634,x7635,x7631,x7636),f744(x7633,x7634,x7635,x7632,x7636))
% 204.32/204.33 [764]~E(x7641,x7642)+E(f744(x7643,x7644,x7645,x7646,x7641),f744(x7643,x7644,x7645,x7646,x7642))
% 204.32/204.33 [765]~E(x7651,x7652)+E(f91(x7651),f91(x7652))
% 204.32/204.33 [766]~E(x7661,x7662)+E(f879(x7661,x7663,x7664,x7665,x7666),f879(x7662,x7663,x7664,x7665,x7666))
% 204.32/204.33 [767]~E(x7671,x7672)+E(f879(x7673,x7671,x7674,x7675,x7676),f879(x7673,x7672,x7674,x7675,x7676))
% 204.32/204.33 [768]~E(x7681,x7682)+E(f879(x7683,x7684,x7681,x7685,x7686),f879(x7683,x7684,x7682,x7685,x7686))
% 204.32/204.33 [769]~E(x7691,x7692)+E(f879(x7693,x7694,x7695,x7691,x7696),f879(x7693,x7694,x7695,x7692,x7696))
% 204.32/204.33 [770]~E(x7701,x7702)+E(f879(x7703,x7704,x7705,x7706,x7701),f879(x7703,x7704,x7705,x7706,x7702))
% 204.32/204.33 [771]~E(x7711,x7712)+E(f727(x7711,x7713),f727(x7712,x7713))
% 204.32/204.33 [772]~E(x7721,x7722)+E(f727(x7723,x7721),f727(x7723,x7722))
% 204.32/204.33 [773]~E(x7731,x7732)+E(f263(x7731,x7733,x7734,x7735),f263(x7732,x7733,x7734,x7735))
% 204.32/204.33 [774]~E(x7741,x7742)+E(f263(x7743,x7741,x7744,x7745),f263(x7743,x7742,x7744,x7745))
% 204.32/204.33 [775]~E(x7751,x7752)+E(f263(x7753,x7754,x7751,x7755),f263(x7753,x7754,x7752,x7755))
% 204.32/204.33 [776]~E(x7761,x7762)+E(f263(x7763,x7764,x7765,x7761),f263(x7763,x7764,x7765,x7762))
% 204.32/204.33 [777]~E(x7771,x7772)+E(f598(x7771,x7773,x7774,x7775,x7776,x7777),f598(x7772,x7773,x7774,x7775,x7776,x7777))
% 204.32/204.33 [778]~E(x7781,x7782)+E(f598(x7783,x7781,x7784,x7785,x7786,x7787),f598(x7783,x7782,x7784,x7785,x7786,x7787))
% 204.32/204.33 [779]~E(x7791,x7792)+E(f598(x7793,x7794,x7791,x7795,x7796,x7797),f598(x7793,x7794,x7792,x7795,x7796,x7797))
% 204.32/204.33 [780]~E(x7801,x7802)+E(f598(x7803,x7804,x7805,x7801,x7806,x7807),f598(x7803,x7804,x7805,x7802,x7806,x7807))
% 204.32/204.33 [781]~E(x7811,x7812)+E(f598(x7813,x7814,x7815,x7816,x7811,x7817),f598(x7813,x7814,x7815,x7816,x7812,x7817))
% 204.32/204.33 [782]~E(x7821,x7822)+E(f598(x7823,x7824,x7825,x7826,x7827,x7821),f598(x7823,x7824,x7825,x7826,x7827,x7822))
% 204.32/204.33 [783]~E(x7831,x7832)+E(f632(x7831,x7833,x7834,x7835,x7836),f632(x7832,x7833,x7834,x7835,x7836))
% 204.32/204.33 [784]~E(x7841,x7842)+E(f632(x7843,x7841,x7844,x7845,x7846),f632(x7843,x7842,x7844,x7845,x7846))
% 204.32/204.33 [785]~E(x7851,x7852)+E(f632(x7853,x7854,x7851,x7855,x7856),f632(x7853,x7854,x7852,x7855,x7856))
% 204.32/204.33 [786]~E(x7861,x7862)+E(f632(x7863,x7864,x7865,x7861,x7866),f632(x7863,x7864,x7865,x7862,x7866))
% 204.32/204.33 [787]~E(x7871,x7872)+E(f632(x7873,x7874,x7875,x7876,x7871),f632(x7873,x7874,x7875,x7876,x7872))
% 204.32/204.33 [788]~E(x7881,x7882)+E(f217(x7881),f217(x7882))
% 204.32/204.33 [789]~E(x7891,x7892)+E(f488(x7891,x7893,x7894),f488(x7892,x7893,x7894))
% 204.32/204.33 [790]~E(x7901,x7902)+E(f488(x7903,x7901,x7904),f488(x7903,x7902,x7904))
% 204.32/204.33 [791]~E(x7911,x7912)+E(f488(x7913,x7914,x7911),f488(x7913,x7914,x7912))
% 204.32/204.33 [792]~E(x7921,x7922)+E(f463(x7921,x7923),f463(x7922,x7923))
% 204.32/204.33 [793]~E(x7931,x7932)+E(f463(x7933,x7931),f463(x7933,x7932))
% 204.32/204.33 [794]~E(x7941,x7942)+E(f731(x7941,x7943,x7944,x7945),f731(x7942,x7943,x7944,x7945))
% 204.32/204.33 [795]~E(x7951,x7952)+E(f731(x7953,x7951,x7954,x7955),f731(x7953,x7952,x7954,x7955))
% 204.32/204.33 [796]~E(x7961,x7962)+E(f731(x7963,x7964,x7961,x7965),f731(x7963,x7964,x7962,x7965))
% 204.32/204.33 [797]~E(x7971,x7972)+E(f731(x7973,x7974,x7975,x7971),f731(x7973,x7974,x7975,x7972))
% 204.32/204.33 [798]~E(x7981,x7982)+E(f194(x7981,x7983,x7984,x7985),f194(x7982,x7983,x7984,x7985))
% 204.32/204.33 [799]~E(x7991,x7992)+E(f194(x7993,x7991,x7994,x7995),f194(x7993,x7992,x7994,x7995))
% 204.32/204.33 [800]~E(x8001,x8002)+E(f194(x8003,x8004,x8001,x8005),f194(x8003,x8004,x8002,x8005))
% 204.32/204.33 [801]~E(x8011,x8012)+E(f194(x8013,x8014,x8015,x8011),f194(x8013,x8014,x8015,x8012))
% 204.32/204.33 [802]~E(x8021,x8022)+E(f247(x8021,x8023,x8024),f247(x8022,x8023,x8024))
% 204.32/204.33 [803]~E(x8031,x8032)+E(f247(x8033,x8031,x8034),f247(x8033,x8032,x8034))
% 204.32/204.33 [804]~E(x8041,x8042)+E(f247(x8043,x8044,x8041),f247(x8043,x8044,x8042))
% 204.32/204.33 [805]~E(x8051,x8052)+E(f426(x8051,x8053),f426(x8052,x8053))
% 204.32/204.33 [806]~E(x8061,x8062)+E(f426(x8063,x8061),f426(x8063,x8062))
% 204.32/204.33 [807]~E(x8071,x8072)+E(f721(x8071,x8073,x8074),f721(x8072,x8073,x8074))
% 204.32/204.33 [808]~E(x8081,x8082)+E(f721(x8083,x8081,x8084),f721(x8083,x8082,x8084))
% 204.32/204.33 [809]~E(x8091,x8092)+E(f721(x8093,x8094,x8091),f721(x8093,x8094,x8092))
% 204.32/204.33 [810]~E(x8101,x8102)+E(f317(x8101,x8103,x8104,x8105),f317(x8102,x8103,x8104,x8105))
% 204.32/204.33 [811]~E(x8111,x8112)+E(f317(x8113,x8111,x8114,x8115),f317(x8113,x8112,x8114,x8115))
% 204.32/204.33 [812]~E(x8121,x8122)+E(f317(x8123,x8124,x8121,x8125),f317(x8123,x8124,x8122,x8125))
% 204.32/204.33 [813]~E(x8131,x8132)+E(f317(x8133,x8134,x8135,x8131),f317(x8133,x8134,x8135,x8132))
% 204.32/204.33 [814]~E(x8141,x8142)+E(f259(x8141,x8143,x8144,x8145),f259(x8142,x8143,x8144,x8145))
% 204.32/204.33 [815]~E(x8151,x8152)+E(f259(x8153,x8151,x8154,x8155),f259(x8153,x8152,x8154,x8155))
% 204.32/204.33 [816]~E(x8161,x8162)+E(f259(x8163,x8164,x8161,x8165),f259(x8163,x8164,x8162,x8165))
% 204.32/204.33 [817]~E(x8171,x8172)+E(f259(x8173,x8174,x8175,x8171),f259(x8173,x8174,x8175,x8172))
% 204.32/204.33 [818]~E(x8181,x8182)+E(f551(x8181,x8183,x8184,x8185),f551(x8182,x8183,x8184,x8185))
% 204.32/204.33 [819]~E(x8191,x8192)+E(f551(x8193,x8191,x8194,x8195),f551(x8193,x8192,x8194,x8195))
% 204.32/204.33 [820]~E(x8201,x8202)+E(f551(x8203,x8204,x8201,x8205),f551(x8203,x8204,x8202,x8205))
% 204.32/204.33 [821]~E(x8211,x8212)+E(f551(x8213,x8214,x8215,x8211),f551(x8213,x8214,x8215,x8212))
% 204.32/204.33 [822]~E(x8221,x8222)+E(f438(x8221,x8223,x8224,x8225,x8226),f438(x8222,x8223,x8224,x8225,x8226))
% 204.32/204.33 [823]~E(x8231,x8232)+E(f438(x8233,x8231,x8234,x8235,x8236),f438(x8233,x8232,x8234,x8235,x8236))
% 204.32/204.33 [824]~E(x8241,x8242)+E(f438(x8243,x8244,x8241,x8245,x8246),f438(x8243,x8244,x8242,x8245,x8246))
% 204.32/204.33 [825]~E(x8251,x8252)+E(f438(x8253,x8254,x8255,x8251,x8256),f438(x8253,x8254,x8255,x8252,x8256))
% 204.32/204.33 [826]~E(x8261,x8262)+E(f438(x8263,x8264,x8265,x8266,x8261),f438(x8263,x8264,x8265,x8266,x8262))
% 204.32/204.33 [827]~E(x8271,x8272)+E(f603(x8271,x8273,x8274),f603(x8272,x8273,x8274))
% 204.32/204.33 [828]~E(x8281,x8282)+E(f603(x8283,x8281,x8284),f603(x8283,x8282,x8284))
% 204.32/204.33 [829]~E(x8291,x8292)+E(f603(x8293,x8294,x8291),f603(x8293,x8294,x8292))
% 204.32/204.33 [830]~E(x8301,x8302)+E(f30(x8301,x8303),f30(x8302,x8303))
% 204.32/204.33 [831]~E(x8311,x8312)+E(f30(x8313,x8311),f30(x8313,x8312))
% 204.32/204.33 [832]~E(x8321,x8322)+E(f633(x8321,x8323,x8324,x8325,x8326),f633(x8322,x8323,x8324,x8325,x8326))
% 204.32/204.33 [833]~E(x8331,x8332)+E(f633(x8333,x8331,x8334,x8335,x8336),f633(x8333,x8332,x8334,x8335,x8336))
% 204.32/204.33 [834]~E(x8341,x8342)+E(f633(x8343,x8344,x8341,x8345,x8346),f633(x8343,x8344,x8342,x8345,x8346))
% 204.32/204.33 [835]~E(x8351,x8352)+E(f633(x8353,x8354,x8355,x8351,x8356),f633(x8353,x8354,x8355,x8352,x8356))
% 204.32/204.33 [836]~E(x8361,x8362)+E(f633(x8363,x8364,x8365,x8366,x8361),f633(x8363,x8364,x8365,x8366,x8362))
% 204.32/204.33 [837]~E(x8371,x8372)+E(f813(x8371,x8373,x8374,x8375,x8376),f813(x8372,x8373,x8374,x8375,x8376))
% 204.32/204.33 [838]~E(x8381,x8382)+E(f813(x8383,x8381,x8384,x8385,x8386),f813(x8383,x8382,x8384,x8385,x8386))
% 204.32/204.33 [839]~E(x8391,x8392)+E(f813(x8393,x8394,x8391,x8395,x8396),f813(x8393,x8394,x8392,x8395,x8396))
% 204.32/204.33 [840]~E(x8401,x8402)+E(f813(x8403,x8404,x8405,x8401,x8406),f813(x8403,x8404,x8405,x8402,x8406))
% 204.32/204.33 [841]~E(x8411,x8412)+E(f813(x8413,x8414,x8415,x8416,x8411),f813(x8413,x8414,x8415,x8416,x8412))
% 204.32/204.33 [842]~E(x8421,x8422)+E(f46(x8421,x8423),f46(x8422,x8423))
% 204.32/204.33 [843]~E(x8431,x8432)+E(f46(x8433,x8431),f46(x8433,x8432))
% 204.32/204.33 [844]~E(x8441,x8442)+E(f233(x8441,x8443,x8444),f233(x8442,x8443,x8444))
% 204.32/204.33 [845]~E(x8451,x8452)+E(f233(x8453,x8451,x8454),f233(x8453,x8452,x8454))
% 204.32/204.33 [846]~E(x8461,x8462)+E(f233(x8463,x8464,x8461),f233(x8463,x8464,x8462))
% 204.32/204.33 [847]~E(x8471,x8472)+E(f320(x8471,x8473),f320(x8472,x8473))
% 204.32/204.33 [848]~E(x8481,x8482)+E(f320(x8483,x8481),f320(x8483,x8482))
% 204.32/204.33 [849]~E(x8491,x8492)+E(f422(x8491,x8493,x8494),f422(x8492,x8493,x8494))
% 204.32/204.33 [850]~E(x8501,x8502)+E(f422(x8503,x8501,x8504),f422(x8503,x8502,x8504))
% 204.32/204.33 [851]~E(x8511,x8512)+E(f422(x8513,x8514,x8511),f422(x8513,x8514,x8512))
% 204.32/204.33 [852]~E(x8521,x8522)+E(f881(x8521,x8523,x8524,x8525,x8526,x8527),f881(x8522,x8523,x8524,x8525,x8526,x8527))
% 204.32/204.33 [853]~E(x8531,x8532)+E(f881(x8533,x8531,x8534,x8535,x8536,x8537),f881(x8533,x8532,x8534,x8535,x8536,x8537))
% 204.32/204.33 [854]~E(x8541,x8542)+E(f881(x8543,x8544,x8541,x8545,x8546,x8547),f881(x8543,x8544,x8542,x8545,x8546,x8547))
% 204.32/204.33 [855]~E(x8551,x8552)+E(f881(x8553,x8554,x8555,x8551,x8556,x8557),f881(x8553,x8554,x8555,x8552,x8556,x8557))
% 204.32/204.33 [856]~E(x8561,x8562)+E(f881(x8563,x8564,x8565,x8566,x8561,x8567),f881(x8563,x8564,x8565,x8566,x8562,x8567))
% 204.32/204.33 [857]~E(x8571,x8572)+E(f881(x8573,x8574,x8575,x8576,x8577,x8571),f881(x8573,x8574,x8575,x8576,x8577,x8572))
% 204.32/204.33 [858]~E(x8581,x8582)+E(f361(x8581,x8583,x8584),f361(x8582,x8583,x8584))
% 204.32/204.33 [859]~E(x8591,x8592)+E(f361(x8593,x8591,x8594),f361(x8593,x8592,x8594))
% 204.32/204.33 [860]~E(x8601,x8602)+E(f361(x8603,x8604,x8601),f361(x8603,x8604,x8602))
% 204.32/204.33 [861]~E(x8611,x8612)+E(f228(x8611,x8613,x8614,x8615,x8616),f228(x8612,x8613,x8614,x8615,x8616))
% 204.32/204.33 [862]~E(x8621,x8622)+E(f228(x8623,x8621,x8624,x8625,x8626),f228(x8623,x8622,x8624,x8625,x8626))
% 204.32/204.33 [863]~E(x8631,x8632)+E(f228(x8633,x8634,x8631,x8635,x8636),f228(x8633,x8634,x8632,x8635,x8636))
% 204.32/204.33 [864]~E(x8641,x8642)+E(f228(x8643,x8644,x8645,x8641,x8646),f228(x8643,x8644,x8645,x8642,x8646))
% 204.32/204.33 [865]~E(x8651,x8652)+E(f228(x8653,x8654,x8655,x8656,x8651),f228(x8653,x8654,x8655,x8656,x8652))
% 204.32/204.33 [866]~E(x8661,x8662)+E(f441(x8661,x8663,x8664),f441(x8662,x8663,x8664))
% 204.32/204.33 [867]~E(x8671,x8672)+E(f441(x8673,x8671,x8674),f441(x8673,x8672,x8674))
% 204.32/204.33 [868]~E(x8681,x8682)+E(f441(x8683,x8684,x8681),f441(x8683,x8684,x8682))
% 204.32/204.33 [869]~E(x8691,x8692)+E(f302(x8691,x8693,x8694),f302(x8692,x8693,x8694))
% 204.32/204.33 [870]~E(x8701,x8702)+E(f302(x8703,x8701,x8704),f302(x8703,x8702,x8704))
% 204.32/204.33 [871]~E(x8711,x8712)+E(f302(x8713,x8714,x8711),f302(x8713,x8714,x8712))
% 204.32/204.33 [872]~E(x8721,x8722)+E(f167(x8721,x8723,x8724,x8725),f167(x8722,x8723,x8724,x8725))
% 204.32/204.33 [873]~E(x8731,x8732)+E(f167(x8733,x8731,x8734,x8735),f167(x8733,x8732,x8734,x8735))
% 204.32/204.33 [874]~E(x8741,x8742)+E(f167(x8743,x8744,x8741,x8745),f167(x8743,x8744,x8742,x8745))
% 204.32/204.33 [875]~E(x8751,x8752)+E(f167(x8753,x8754,x8755,x8751),f167(x8753,x8754,x8755,x8752))
% 204.32/204.33 [876]~E(x8761,x8762)+E(f734(x8761,x8763),f734(x8762,x8763))
% 204.32/204.33 [877]~E(x8771,x8772)+E(f734(x8773,x8771),f734(x8773,x8772))
% 204.32/204.33 [878]~E(x8781,x8782)+E(f166(x8781,x8783),f166(x8782,x8783))
% 204.32/204.33 [879]~E(x8791,x8792)+E(f166(x8793,x8791),f166(x8793,x8792))
% 204.32/204.33 [880]~E(x8801,x8802)+E(f386(x8801,x8803,x8804),f386(x8802,x8803,x8804))
% 204.32/204.33 [881]~E(x8811,x8812)+E(f386(x8813,x8811,x8814),f386(x8813,x8812,x8814))
% 204.32/204.33 [882]~E(x8821,x8822)+E(f386(x8823,x8824,x8821),f386(x8823,x8824,x8822))
% 204.32/204.33 [883]~E(x8831,x8832)+E(f536(x8831,x8833,x8834,x8835),f536(x8832,x8833,x8834,x8835))
% 204.32/204.33 [884]~E(x8841,x8842)+E(f536(x8843,x8841,x8844,x8845),f536(x8843,x8842,x8844,x8845))
% 204.32/204.33 [885]~E(x8851,x8852)+E(f536(x8853,x8854,x8851,x8855),f536(x8853,x8854,x8852,x8855))
% 204.32/204.33 [886]~E(x8861,x8862)+E(f536(x8863,x8864,x8865,x8861),f536(x8863,x8864,x8865,x8862))
% 204.32/204.33 [887]~E(x8871,x8872)+E(f177(x8871,x8873,x8874),f177(x8872,x8873,x8874))
% 204.32/204.33 [888]~E(x8881,x8882)+E(f177(x8883,x8881,x8884),f177(x8883,x8882,x8884))
% 204.32/204.33 [889]~E(x8891,x8892)+E(f177(x8893,x8894,x8891),f177(x8893,x8894,x8892))
% 204.32/204.33 [890]~E(x8901,x8902)+E(f170(x8901,x8903,x8904),f170(x8902,x8903,x8904))
% 204.32/204.33 [891]~E(x8911,x8912)+E(f170(x8913,x8911,x8914),f170(x8913,x8912,x8914))
% 204.32/204.33 [892]~E(x8921,x8922)+E(f170(x8923,x8924,x8921),f170(x8923,x8924,x8922))
% 204.32/204.33 [893]~E(x8931,x8932)+E(f715(x8931,x8933),f715(x8932,x8933))
% 204.32/204.33 [894]~E(x8941,x8942)+E(f715(x8943,x8941),f715(x8943,x8942))
% 204.32/204.33 [895]~E(x8951,x8952)+E(f144(x8951,x8953,x8954),f144(x8952,x8953,x8954))
% 204.32/204.33 [896]~E(x8961,x8962)+E(f144(x8963,x8961,x8964),f144(x8963,x8962,x8964))
% 204.32/204.33 [897]~E(x8971,x8972)+E(f144(x8973,x8974,x8971),f144(x8973,x8974,x8972))
% 204.32/204.33 [898]~E(x8981,x8982)+E(f281(x8981,x8983,x8984,x8985),f281(x8982,x8983,x8984,x8985))
% 204.32/204.33 [899]~E(x8991,x8992)+E(f281(x8993,x8991,x8994,x8995),f281(x8993,x8992,x8994,x8995))
% 204.32/204.33 [900]~E(x9001,x9002)+E(f281(x9003,x9004,x9001,x9005),f281(x9003,x9004,x9002,x9005))
% 204.32/204.33 [901]~E(x9011,x9012)+E(f281(x9013,x9014,x9015,x9011),f281(x9013,x9014,x9015,x9012))
% 204.32/204.33 [902]~E(x9021,x9022)+E(f657(x9021,x9023),f657(x9022,x9023))
% 204.32/204.33 [903]~E(x9031,x9032)+E(f657(x9033,x9031),f657(x9033,x9032))
% 204.32/204.33 [904]~E(x9041,x9042)+E(f690(x9041,x9043,x9044,x9045),f690(x9042,x9043,x9044,x9045))
% 204.32/204.33 [905]~E(x9051,x9052)+E(f690(x9053,x9051,x9054,x9055),f690(x9053,x9052,x9054,x9055))
% 204.32/204.33 [906]~E(x9061,x9062)+E(f690(x9063,x9064,x9061,x9065),f690(x9063,x9064,x9062,x9065))
% 204.32/204.33 [907]~E(x9071,x9072)+E(f690(x9073,x9074,x9075,x9071),f690(x9073,x9074,x9075,x9072))
% 204.32/204.33 [908]~E(x9081,x9082)+E(f196(x9081,x9083),f196(x9082,x9083))
% 204.32/204.33 [909]~E(x9091,x9092)+E(f196(x9093,x9091),f196(x9093,x9092))
% 204.32/204.33 [910]~E(x9101,x9102)+E(f863(x9101,x9103,x9104,x9105,x9106,x9107),f863(x9102,x9103,x9104,x9105,x9106,x9107))
% 204.32/204.33 [911]~E(x9111,x9112)+E(f863(x9113,x9111,x9114,x9115,x9116,x9117),f863(x9113,x9112,x9114,x9115,x9116,x9117))
% 204.32/204.33 [912]~E(x9121,x9122)+E(f863(x9123,x9124,x9121,x9125,x9126,x9127),f863(x9123,x9124,x9122,x9125,x9126,x9127))
% 204.32/204.33 [913]~E(x9131,x9132)+E(f863(x9133,x9134,x9135,x9131,x9136,x9137),f863(x9133,x9134,x9135,x9132,x9136,x9137))
% 204.32/204.33 [914]~E(x9141,x9142)+E(f863(x9143,x9144,x9145,x9146,x9141,x9147),f863(x9143,x9144,x9145,x9146,x9142,x9147))
% 204.32/204.33 [915]~E(x9151,x9152)+E(f863(x9153,x9154,x9155,x9156,x9157,x9151),f863(x9153,x9154,x9155,x9156,x9157,x9152))
% 204.32/204.33 [916]~E(x9161,x9162)+E(f125(x9161,x9163),f125(x9162,x9163))
% 204.32/204.33 [917]~E(x9171,x9172)+E(f125(x9173,x9171),f125(x9173,x9172))
% 204.32/204.33 [918]~E(x9181,x9182)+E(f242(x9181,x9183),f242(x9182,x9183))
% 204.32/204.33 [919]~E(x9191,x9192)+E(f242(x9193,x9191),f242(x9193,x9192))
% 204.32/204.33 [920]~E(x9201,x9202)+E(f640(x9201,x9203,x9204,x9205,x9206),f640(x9202,x9203,x9204,x9205,x9206))
% 204.32/204.33 [921]~E(x9211,x9212)+E(f640(x9213,x9211,x9214,x9215,x9216),f640(x9213,x9212,x9214,x9215,x9216))
% 204.32/204.33 [922]~E(x9221,x9222)+E(f640(x9223,x9224,x9221,x9225,x9226),f640(x9223,x9224,x9222,x9225,x9226))
% 204.32/204.33 [923]~E(x9231,x9232)+E(f640(x9233,x9234,x9235,x9231,x9236),f640(x9233,x9234,x9235,x9232,x9236))
% 204.32/204.33 [924]~E(x9241,x9242)+E(f640(x9243,x9244,x9245,x9246,x9241),f640(x9243,x9244,x9245,x9246,x9242))
% 204.32/204.33 [925]~E(x9251,x9252)+E(f864(x9251,x9253,x9254,x9255,x9256,x9257),f864(x9252,x9253,x9254,x9255,x9256,x9257))
% 204.32/204.33 [926]~E(x9261,x9262)+E(f864(x9263,x9261,x9264,x9265,x9266,x9267),f864(x9263,x9262,x9264,x9265,x9266,x9267))
% 204.32/204.33 [927]~E(x9271,x9272)+E(f864(x9273,x9274,x9271,x9275,x9276,x9277),f864(x9273,x9274,x9272,x9275,x9276,x9277))
% 204.32/204.33 [928]~E(x9281,x9282)+E(f864(x9283,x9284,x9285,x9281,x9286,x9287),f864(x9283,x9284,x9285,x9282,x9286,x9287))
% 204.32/204.33 [929]~E(x9291,x9292)+E(f864(x9293,x9294,x9295,x9296,x9291,x9297),f864(x9293,x9294,x9295,x9296,x9292,x9297))
% 204.32/204.33 [930]~E(x9301,x9302)+E(f864(x9303,x9304,x9305,x9306,x9307,x9301),f864(x9303,x9304,x9305,x9306,x9307,x9302))
% 204.32/204.33 [931]~E(x9311,x9312)+E(f221(x9311,x9313),f221(x9312,x9313))
% 204.32/204.33 [932]~E(x9321,x9322)+E(f221(x9323,x9321),f221(x9323,x9322))
% 204.32/204.33 [933]~E(x9331,x9332)+E(f385(x9331,x9333),f385(x9332,x9333))
% 204.32/204.33 [934]~E(x9341,x9342)+E(f385(x9343,x9341),f385(x9343,x9342))
% 204.32/204.33 [935]~E(x9351,x9352)+E(f602(x9351,x9353,x9354),f602(x9352,x9353,x9354))
% 204.32/204.33 [936]~E(x9361,x9362)+E(f602(x9363,x9361,x9364),f602(x9363,x9362,x9364))
% 204.32/204.33 [937]~E(x9371,x9372)+E(f602(x9373,x9374,x9371),f602(x9373,x9374,x9372))
% 204.32/204.33 [938]~E(x9381,x9382)+E(f43(x9381),f43(x9382))
% 204.32/204.33 [939]~E(x9391,x9392)+E(f435(x9391,x9393,x9394),f435(x9392,x9393,x9394))
% 204.32/204.33 [940]~E(x9401,x9402)+E(f435(x9403,x9401,x9404),f435(x9403,x9402,x9404))
% 204.32/204.33 [941]~E(x9411,x9412)+E(f435(x9413,x9414,x9411),f435(x9413,x9414,x9412))
% 204.32/204.33 [942]~E(x9421,x9422)+E(f724(x9421,x9423),f724(x9422,x9423))
% 204.32/204.33 [943]~E(x9431,x9432)+E(f724(x9433,x9431),f724(x9433,x9432))
% 204.32/204.33 [944]~E(x9441,x9442)+E(f915(x9441,x9443,x9444),f915(x9442,x9443,x9444))
% 204.32/204.33 [945]~E(x9451,x9452)+E(f915(x9453,x9451,x9454),f915(x9453,x9452,x9454))
% 204.32/204.33 [946]~E(x9461,x9462)+E(f915(x9463,x9464,x9461),f915(x9463,x9464,x9462))
% 204.32/204.33 [947]~E(x9471,x9472)+E(f865(x9471,x9473,x9474,x9475,x9476,x9477),f865(x9472,x9473,x9474,x9475,x9476,x9477))
% 204.32/204.33 [948]~E(x9481,x9482)+E(f865(x9483,x9481,x9484,x9485,x9486,x9487),f865(x9483,x9482,x9484,x9485,x9486,x9487))
% 204.32/204.33 [949]~E(x9491,x9492)+E(f865(x9493,x9494,x9491,x9495,x9496,x9497),f865(x9493,x9494,x9492,x9495,x9496,x9497))
% 204.32/204.33 [950]~E(x9501,x9502)+E(f865(x9503,x9504,x9505,x9501,x9506,x9507),f865(x9503,x9504,x9505,x9502,x9506,x9507))
% 204.32/204.33 [951]~E(x9511,x9512)+E(f865(x9513,x9514,x9515,x9516,x9511,x9517),f865(x9513,x9514,x9515,x9516,x9512,x9517))
% 204.32/204.33 [952]~E(x9521,x9522)+E(f865(x9523,x9524,x9525,x9526,x9527,x9521),f865(x9523,x9524,x9525,x9526,x9527,x9522))
% 204.32/204.33 [953]~E(x9531,x9532)+E(f866(x9531,x9533,x9534,x9535,x9536,x9537),f866(x9532,x9533,x9534,x9535,x9536,x9537))
% 204.32/204.33 [954]~E(x9541,x9542)+E(f866(x9543,x9541,x9544,x9545,x9546,x9547),f866(x9543,x9542,x9544,x9545,x9546,x9547))
% 204.32/204.33 [955]~E(x9551,x9552)+E(f866(x9553,x9554,x9551,x9555,x9556,x9557),f866(x9553,x9554,x9552,x9555,x9556,x9557))
% 204.32/204.33 [956]~E(x9561,x9562)+E(f866(x9563,x9564,x9565,x9561,x9566,x9567),f866(x9563,x9564,x9565,x9562,x9566,x9567))
% 204.32/204.33 [957]~E(x9571,x9572)+E(f866(x9573,x9574,x9575,x9576,x9571,x9577),f866(x9573,x9574,x9575,x9576,x9572,x9577))
% 204.32/204.33 [958]~E(x9581,x9582)+E(f866(x9583,x9584,x9585,x9586,x9587,x9581),f866(x9583,x9584,x9585,x9586,x9587,x9582))
% 204.32/204.33 [959]~E(x9591,x9592)+E(f593(x9591,x9593,x9594,x9595,x9596),f593(x9592,x9593,x9594,x9595,x9596))
% 204.32/204.33 [960]~E(x9601,x9602)+E(f593(x9603,x9601,x9604,x9605,x9606),f593(x9603,x9602,x9604,x9605,x9606))
% 204.32/204.33 [961]~E(x9611,x9612)+E(f593(x9613,x9614,x9611,x9615,x9616),f593(x9613,x9614,x9612,x9615,x9616))
% 204.32/204.33 [962]~E(x9621,x9622)+E(f593(x9623,x9624,x9625,x9621,x9626),f593(x9623,x9624,x9625,x9622,x9626))
% 204.32/204.33 [963]~E(x9631,x9632)+E(f593(x9633,x9634,x9635,x9636,x9631),f593(x9633,x9634,x9635,x9636,x9632))
% 204.32/204.33 [964]~E(x9641,x9642)+E(f921(x9641,x9643,x9644,x9645,x9646),f921(x9642,x9643,x9644,x9645,x9646))
% 204.32/204.33 [965]~E(x9651,x9652)+E(f921(x9653,x9651,x9654,x9655,x9656),f921(x9653,x9652,x9654,x9655,x9656))
% 204.32/204.33 [966]~E(x9661,x9662)+E(f921(x9663,x9664,x9661,x9665,x9666),f921(x9663,x9664,x9662,x9665,x9666))
% 204.32/204.33 [967]~E(x9671,x9672)+E(f921(x9673,x9674,x9675,x9671,x9676),f921(x9673,x9674,x9675,x9672,x9676))
% 204.32/204.33 [968]~E(x9681,x9682)+E(f921(x9683,x9684,x9685,x9686,x9681),f921(x9683,x9684,x9685,x9686,x9682))
% 204.32/204.33 [969]~E(x9691,x9692)+E(f100(x9691),f100(x9692))
% 204.32/204.33 [970]~E(x9701,x9702)+E(f448(x9701,x9703,x9704),f448(x9702,x9703,x9704))
% 204.32/204.33 [971]~E(x9711,x9712)+E(f448(x9713,x9711,x9714),f448(x9713,x9712,x9714))
% 204.32/204.33 [972]~E(x9721,x9722)+E(f448(x9723,x9724,x9721),f448(x9723,x9724,x9722))
% 204.32/204.33 [973]~E(x9731,x9732)+E(f374(x9731,x9733),f374(x9732,x9733))
% 204.32/204.33 [974]~E(x9741,x9742)+E(f374(x9743,x9741),f374(x9743,x9742))
% 204.32/204.33 [975]~E(x9751,x9752)+E(f150(x9751,x9753),f150(x9752,x9753))
% 204.32/204.33 [976]~E(x9761,x9762)+E(f150(x9763,x9761),f150(x9763,x9762))
% 204.32/204.33 [977]~E(x9771,x9772)+E(f241(x9771,x9773),f241(x9772,x9773))
% 204.32/204.33 [978]~E(x9781,x9782)+E(f241(x9783,x9781),f241(x9783,x9782))
% 204.32/204.33 [979]~E(x9791,x9792)+E(f253(x9791,x9793,x9794),f253(x9792,x9793,x9794))
% 204.32/204.33 [980]~E(x9801,x9802)+E(f253(x9803,x9801,x9804),f253(x9803,x9802,x9804))
% 204.32/204.33 [981]~E(x9811,x9812)+E(f253(x9813,x9814,x9811),f253(x9813,x9814,x9812))
% 204.32/204.33 [982]~E(x9821,x9822)+E(f589(x9821,x9823,x9824,x9825),f589(x9822,x9823,x9824,x9825))
% 204.32/204.33 [983]~E(x9831,x9832)+E(f589(x9833,x9831,x9834,x9835),f589(x9833,x9832,x9834,x9835))
% 204.32/204.33 [984]~E(x9841,x9842)+E(f589(x9843,x9844,x9841,x9845),f589(x9843,x9844,x9842,x9845))
% 204.32/204.33 [985]~E(x9851,x9852)+E(f589(x9853,x9854,x9855,x9851),f589(x9853,x9854,x9855,x9852))
% 204.32/204.33 [986]~E(x9861,x9862)+E(f483(x9861,x9863,x9864),f483(x9862,x9863,x9864))
% 204.32/204.33 [987]~E(x9871,x9872)+E(f483(x9873,x9871,x9874),f483(x9873,x9872,x9874))
% 204.32/204.33 [988]~E(x9881,x9882)+E(f483(x9883,x9884,x9881),f483(x9883,x9884,x9882))
% 204.32/204.33 [989]~E(x9891,x9892)+E(f130(x9891,x9893,x9894),f130(x9892,x9893,x9894))
% 204.32/204.33 [990]~E(x9901,x9902)+E(f130(x9903,x9901,x9904),f130(x9903,x9902,x9904))
% 204.32/204.33 [991]~E(x9911,x9912)+E(f130(x9913,x9914,x9911),f130(x9913,x9914,x9912))
% 204.32/204.33 [992]~E(x9921,x9922)+E(f135(x9921,x9923,x9924,x9925),f135(x9922,x9923,x9924,x9925))
% 204.32/204.33 [993]~E(x9931,x9932)+E(f135(x9933,x9931,x9934,x9935),f135(x9933,x9932,x9934,x9935))
% 204.32/204.33 [994]~E(x9941,x9942)+E(f135(x9943,x9944,x9941,x9945),f135(x9943,x9944,x9942,x9945))
% 204.32/204.33 [995]~E(x9951,x9952)+E(f135(x9953,x9954,x9955,x9951),f135(x9953,x9954,x9955,x9952))
% 204.32/204.33 [996]~E(x9961,x9962)+E(f729(x9961,x9963),f729(x9962,x9963))
% 204.32/204.33 [997]~E(x9971,x9972)+E(f729(x9973,x9971),f729(x9973,x9972))
% 204.32/204.33 [998]~E(x9981,x9982)+E(f725(x9981,x9983,x9984),f725(x9982,x9983,x9984))
% 204.32/204.33 [999]~E(x9991,x9992)+E(f725(x9993,x9991,x9994),f725(x9993,x9992,x9994))
% 204.32/204.33 [1000]~E(x10001,x10002)+E(f725(x10003,x10004,x10001),f725(x10003,x10004,x10002))
% 204.32/204.33 [1001]~E(x10011,x10012)+E(f450(x10011),f450(x10012))
% 204.32/204.33 [1002]~E(x10021,x10022)+E(f516(x10021,x10023,x10024),f516(x10022,x10023,x10024))
% 204.32/204.33 [1003]~E(x10031,x10032)+E(f516(x10033,x10031,x10034),f516(x10033,x10032,x10034))
% 204.32/204.33 [1004]~E(x10041,x10042)+E(f516(x10043,x10044,x10041),f516(x10043,x10044,x10042))
% 204.32/204.33 [1005]~E(x10051,x10052)+E(f254(x10051,x10053,x10054),f254(x10052,x10053,x10054))
% 204.32/204.33 [1006]~E(x10061,x10062)+E(f254(x10063,x10061,x10064),f254(x10063,x10062,x10064))
% 204.32/204.33 [1007]~E(x10071,x10072)+E(f254(x10073,x10074,x10071),f254(x10073,x10074,x10072))
% 204.32/204.33 [1008]~E(x10081,x10082)+E(f365(x10081,x10083,x10084,x10085),f365(x10082,x10083,x10084,x10085))
% 204.32/204.33 [1009]~E(x10091,x10092)+E(f365(x10093,x10091,x10094,x10095),f365(x10093,x10092,x10094,x10095))
% 204.32/204.33 [1010]~E(x10101,x10102)+E(f365(x10103,x10104,x10101,x10105),f365(x10103,x10104,x10102,x10105))
% 204.32/204.33 [1011]~E(x10111,x10112)+E(f365(x10113,x10114,x10115,x10111),f365(x10113,x10114,x10115,x10112))
% 204.32/204.33 [1012]~E(x10121,x10122)+E(f643(x10121,x10123,x10124),f643(x10122,x10123,x10124))
% 204.32/204.33 [1013]~E(x10131,x10132)+E(f643(x10133,x10131,x10134),f643(x10133,x10132,x10134))
% 204.32/204.33 [1014]~E(x10141,x10142)+E(f643(x10143,x10144,x10141),f643(x10143,x10144,x10142))
% 204.32/204.33 [1015]~E(x10151,x10152)+E(f96(x10151,x10153,x10154),f96(x10152,x10153,x10154))
% 204.32/204.33 [1016]~E(x10161,x10162)+E(f96(x10163,x10161,x10164),f96(x10163,x10162,x10164))
% 204.32/204.33 [1017]~E(x10171,x10172)+E(f96(x10173,x10174,x10171),f96(x10173,x10174,x10172))
% 204.32/204.33 [1018]~E(x10181,x10182)+E(f418(x10181,x10183,x10184,x10185),f418(x10182,x10183,x10184,x10185))
% 204.32/204.33 [1019]~E(x10191,x10192)+E(f418(x10193,x10191,x10194,x10195),f418(x10193,x10192,x10194,x10195))
% 204.32/204.33 [1020]~E(x10201,x10202)+E(f418(x10203,x10204,x10201,x10205),f418(x10203,x10204,x10202,x10205))
% 204.32/204.33 [1021]~E(x10211,x10212)+E(f418(x10213,x10214,x10215,x10211),f418(x10213,x10214,x10215,x10212))
% 204.32/204.33 [1022]~E(x10221,x10222)+E(f895(x10221,x10223,x10224,x10225),f895(x10222,x10223,x10224,x10225))
% 204.32/204.33 [1023]~E(x10231,x10232)+E(f895(x10233,x10231,x10234,x10235),f895(x10233,x10232,x10234,x10235))
% 204.32/204.33 [1024]~E(x10241,x10242)+E(f895(x10243,x10244,x10241,x10245),f895(x10243,x10244,x10242,x10245))
% 204.32/204.33 [1025]~E(x10251,x10252)+E(f895(x10253,x10254,x10255,x10251),f895(x10253,x10254,x10255,x10252))
% 204.32/204.33 [1026]~E(x10261,x10262)+E(f527(x10261,x10263,x10264,x10265),f527(x10262,x10263,x10264,x10265))
% 204.32/204.33 [1027]~E(x10271,x10272)+E(f527(x10273,x10271,x10274,x10275),f527(x10273,x10272,x10274,x10275))
% 204.32/204.33 [1028]~E(x10281,x10282)+E(f527(x10283,x10284,x10281,x10285),f527(x10283,x10284,x10282,x10285))
% 204.32/204.33 [1029]~E(x10291,x10292)+E(f527(x10293,x10294,x10295,x10291),f527(x10293,x10294,x10295,x10292))
% 204.32/204.33 [1030]~E(x10301,x10302)+E(f395(x10301,x10303),f395(x10302,x10303))
% 204.32/204.33 [1031]~E(x10311,x10312)+E(f395(x10313,x10311),f395(x10313,x10312))
% 204.32/204.33 [1032]~E(x10321,x10322)+E(f506(x10321,x10323),f506(x10322,x10323))
% 204.32/204.33 [1033]~E(x10331,x10332)+E(f506(x10333,x10331),f506(x10333,x10332))
% 204.32/204.33 [1034]~E(x10341,x10342)+E(f582(x10341),f582(x10342))
% 204.32/204.33 [1035]~E(x10351,x10352)+E(f653(x10351,x10353,x10354,x10355,x10356,x10357),f653(x10352,x10353,x10354,x10355,x10356,x10357))
% 204.32/204.33 [1036]~E(x10361,x10362)+E(f653(x10363,x10361,x10364,x10365,x10366,x10367),f653(x10363,x10362,x10364,x10365,x10366,x10367))
% 204.32/204.33 [1037]~E(x10371,x10372)+E(f653(x10373,x10374,x10371,x10375,x10376,x10377),f653(x10373,x10374,x10372,x10375,x10376,x10377))
% 204.32/204.33 [1038]~E(x10381,x10382)+E(f653(x10383,x10384,x10385,x10381,x10386,x10387),f653(x10383,x10384,x10385,x10382,x10386,x10387))
% 204.32/204.33 [1039]~E(x10391,x10392)+E(f653(x10393,x10394,x10395,x10396,x10391,x10397),f653(x10393,x10394,x10395,x10396,x10392,x10397))
% 204.32/204.33 [1040]~E(x10401,x10402)+E(f653(x10403,x10404,x10405,x10406,x10407,x10401),f653(x10403,x10404,x10405,x10406,x10407,x10402))
% 204.32/204.33 [1041]~E(x10411,x10412)+E(f654(x10411,x10413,x10414,x10415,x10416,x10417),f654(x10412,x10413,x10414,x10415,x10416,x10417))
% 204.32/204.33 [1042]~E(x10421,x10422)+E(f654(x10423,x10421,x10424,x10425,x10426,x10427),f654(x10423,x10422,x10424,x10425,x10426,x10427))
% 204.32/204.33 [1043]~E(x10431,x10432)+E(f654(x10433,x10434,x10431,x10435,x10436,x10437),f654(x10433,x10434,x10432,x10435,x10436,x10437))
% 204.32/204.33 [1044]~E(x10441,x10442)+E(f654(x10443,x10444,x10445,x10441,x10446,x10447),f654(x10443,x10444,x10445,x10442,x10446,x10447))
% 204.32/204.33 [1045]~E(x10451,x10452)+E(f654(x10453,x10454,x10455,x10456,x10451,x10457),f654(x10453,x10454,x10455,x10456,x10452,x10457))
% 204.32/204.33 [1046]~E(x10461,x10462)+E(f654(x10463,x10464,x10465,x10466,x10467,x10461),f654(x10463,x10464,x10465,x10466,x10467,x10462))
% 204.32/204.33 [1047]~E(x10471,x10472)+E(f592(x10471,x10473,x10474),f592(x10472,x10473,x10474))
% 204.32/204.33 [1048]~E(x10481,x10482)+E(f592(x10483,x10481,x10484),f592(x10483,x10482,x10484))
% 204.32/204.33 [1049]~E(x10491,x10492)+E(f592(x10493,x10494,x10491),f592(x10493,x10494,x10492))
% 204.32/204.33 [1050]~E(x10501,x10502)+E(f905(x10501,x10503,x10504),f905(x10502,x10503,x10504))
% 204.32/204.33 [1051]~E(x10511,x10512)+E(f905(x10513,x10511,x10514),f905(x10513,x10512,x10514))
% 204.32/204.33 [1052]~E(x10521,x10522)+E(f905(x10523,x10524,x10521),f905(x10523,x10524,x10522))
% 204.32/204.33 [1053]~E(x10531,x10532)+E(f428(x10531,x10533),f428(x10532,x10533))
% 204.32/204.33 [1054]~E(x10541,x10542)+E(f428(x10543,x10541),f428(x10543,x10542))
% 204.32/204.33 [1055]~E(x10551,x10552)+E(f790(x10551,x10553,x10554,x10555),f790(x10552,x10553,x10554,x10555))
% 204.32/204.33 [1056]~E(x10561,x10562)+E(f790(x10563,x10561,x10564,x10565),f790(x10563,x10562,x10564,x10565))
% 204.32/204.33 [1057]~E(x10571,x10572)+E(f790(x10573,x10574,x10571,x10575),f790(x10573,x10574,x10572,x10575))
% 204.32/204.33 [1058]~E(x10581,x10582)+E(f790(x10583,x10584,x10585,x10581),f790(x10583,x10584,x10585,x10582))
% 204.32/204.33 [1059]~E(x10591,x10592)+E(f853(x10591,x10593,x10594,x10595,x10596,x10597,x10598),f853(x10592,x10593,x10594,x10595,x10596,x10597,x10598))
% 204.32/204.33 [1060]~E(x10601,x10602)+E(f853(x10603,x10601,x10604,x10605,x10606,x10607,x10608),f853(x10603,x10602,x10604,x10605,x10606,x10607,x10608))
% 204.32/204.33 [1061]~E(x10611,x10612)+E(f853(x10613,x10614,x10611,x10615,x10616,x10617,x10618),f853(x10613,x10614,x10612,x10615,x10616,x10617,x10618))
% 204.32/204.33 [1062]~E(x10621,x10622)+E(f853(x10623,x10624,x10625,x10621,x10626,x10627,x10628),f853(x10623,x10624,x10625,x10622,x10626,x10627,x10628))
% 204.32/204.33 [1063]~E(x10631,x10632)+E(f853(x10633,x10634,x10635,x10636,x10631,x10637,x10638),f853(x10633,x10634,x10635,x10636,x10632,x10637,x10638))
% 204.32/204.33 [1064]~E(x10641,x10642)+E(f853(x10643,x10644,x10645,x10646,x10647,x10641,x10648),f853(x10643,x10644,x10645,x10646,x10647,x10642,x10648))
% 204.32/204.33 [1065]~E(x10651,x10652)+E(f853(x10653,x10654,x10655,x10656,x10657,x10658,x10651),f853(x10653,x10654,x10655,x10656,x10657,x10658,x10652))
% 204.32/204.33 [1066]~E(x10661,x10662)+E(f412(x10661,x10663,x10664,x10665),f412(x10662,x10663,x10664,x10665))
% 204.32/204.33 [1067]~E(x10671,x10672)+E(f412(x10673,x10671,x10674,x10675),f412(x10673,x10672,x10674,x10675))
% 204.32/204.33 [1068]~E(x10681,x10682)+E(f412(x10683,x10684,x10681,x10685),f412(x10683,x10684,x10682,x10685))
% 204.32/204.33 [1069]~E(x10691,x10692)+E(f412(x10693,x10694,x10695,x10691),f412(x10693,x10694,x10695,x10692))
% 204.32/204.33 [1070]~E(x10701,x10702)+E(f485(x10701,x10703,x10704),f485(x10702,x10703,x10704))
% 204.32/204.33 [1071]~E(x10711,x10712)+E(f485(x10713,x10711,x10714),f485(x10713,x10712,x10714))
% 204.32/204.33 [1072]~E(x10721,x10722)+E(f485(x10723,x10724,x10721),f485(x10723,x10724,x10722))
% 204.32/204.33 [1073]~E(x10731,x10732)+E(f232(x10731,x10733),f232(x10732,x10733))
% 204.32/204.33 [1074]~E(x10741,x10742)+E(f232(x10743,x10741),f232(x10743,x10742))
% 204.32/204.33 [1075]~E(x10751,x10752)+E(f303(x10751,x10753,x10754,x10755),f303(x10752,x10753,x10754,x10755))
% 204.32/204.33 [1076]~E(x10761,x10762)+E(f303(x10763,x10761,x10764,x10765),f303(x10763,x10762,x10764,x10765))
% 204.32/204.33 [1077]~E(x10771,x10772)+E(f303(x10773,x10774,x10771,x10775),f303(x10773,x10774,x10772,x10775))
% 204.32/204.33 [1078]~E(x10781,x10782)+E(f303(x10783,x10784,x10785,x10781),f303(x10783,x10784,x10785,x10782))
% 204.32/204.33 [1079]~E(x10791,x10792)+E(f897(x10791,x10793,x10794,x10795,x10796),f897(x10792,x10793,x10794,x10795,x10796))
% 204.32/204.33 [1080]~E(x10801,x10802)+E(f897(x10803,x10801,x10804,x10805,x10806),f897(x10803,x10802,x10804,x10805,x10806))
% 204.32/204.33 [1081]~E(x10811,x10812)+E(f897(x10813,x10814,x10811,x10815,x10816),f897(x10813,x10814,x10812,x10815,x10816))
% 204.32/204.33 [1082]~E(x10821,x10822)+E(f897(x10823,x10824,x10825,x10821,x10826),f897(x10823,x10824,x10825,x10822,x10826))
% 204.32/204.33 [1083]~E(x10831,x10832)+E(f897(x10833,x10834,x10835,x10836,x10831),f897(x10833,x10834,x10835,x10836,x10832))
% 204.32/204.33 [1084]~E(x10841,x10842)+E(f160(x10841,x10843,x10844,x10845),f160(x10842,x10843,x10844,x10845))
% 204.32/204.33 [1085]~E(x10851,x10852)+E(f160(x10853,x10851,x10854,x10855),f160(x10853,x10852,x10854,x10855))
% 204.32/204.33 [1086]~E(x10861,x10862)+E(f160(x10863,x10864,x10861,x10865),f160(x10863,x10864,x10862,x10865))
% 204.32/204.33 [1087]~E(x10871,x10872)+E(f160(x10873,x10874,x10875,x10871),f160(x10873,x10874,x10875,x10872))
% 204.32/204.33 [1088]~E(x10881,x10882)+E(f467(x10881,x10883,x10884,x10885,x10886,x10887),f467(x10882,x10883,x10884,x10885,x10886,x10887))
% 204.32/204.33 [1089]~E(x10891,x10892)+E(f467(x10893,x10891,x10894,x10895,x10896,x10897),f467(x10893,x10892,x10894,x10895,x10896,x10897))
% 204.32/204.33 [1090]~E(x10901,x10902)+E(f467(x10903,x10904,x10901,x10905,x10906,x10907),f467(x10903,x10904,x10902,x10905,x10906,x10907))
% 204.32/204.33 [1091]~E(x10911,x10912)+E(f467(x10913,x10914,x10915,x10911,x10916,x10917),f467(x10913,x10914,x10915,x10912,x10916,x10917))
% 204.32/204.33 [1092]~E(x10921,x10922)+E(f467(x10923,x10924,x10925,x10926,x10921,x10927),f467(x10923,x10924,x10925,x10926,x10922,x10927))
% 204.32/204.33 [1093]~E(x10931,x10932)+E(f467(x10933,x10934,x10935,x10936,x10937,x10931),f467(x10933,x10934,x10935,x10936,x10937,x10932))
% 204.32/204.33 [1094]~E(x10941,x10942)+E(f733(x10941,x10943),f733(x10942,x10943))
% 204.32/204.33 [1095]~E(x10951,x10952)+E(f733(x10953,x10951),f733(x10953,x10952))
% 204.32/204.33 [1096]~E(x10961,x10962)+E(f611(x10961,x10963,x10964),f611(x10962,x10963,x10964))
% 204.32/204.33 [1097]~E(x10971,x10972)+E(f611(x10973,x10971,x10974),f611(x10973,x10972,x10974))
% 204.32/204.33 [1098]~E(x10981,x10982)+E(f611(x10983,x10984,x10981),f611(x10983,x10984,x10982))
% 204.32/204.33 [1099]~E(x10991,x10992)+E(f652(x10991,x10993,x10994,x10995,x10996,x10997),f652(x10992,x10993,x10994,x10995,x10996,x10997))
% 204.32/204.33 [1100]~E(x11001,x11002)+E(f652(x11003,x11001,x11004,x11005,x11006,x11007),f652(x11003,x11002,x11004,x11005,x11006,x11007))
% 204.32/204.33 [1101]~E(x11011,x11012)+E(f652(x11013,x11014,x11011,x11015,x11016,x11017),f652(x11013,x11014,x11012,x11015,x11016,x11017))
% 204.32/204.33 [1102]~E(x11021,x11022)+E(f652(x11023,x11024,x11025,x11021,x11026,x11027),f652(x11023,x11024,x11025,x11022,x11026,x11027))
% 204.32/204.33 [1103]~E(x11031,x11032)+E(f652(x11033,x11034,x11035,x11036,x11031,x11037),f652(x11033,x11034,x11035,x11036,x11032,x11037))
% 204.32/204.33 [1104]~E(x11041,x11042)+E(f652(x11043,x11044,x11045,x11046,x11047,x11041),f652(x11043,x11044,x11045,x11046,x11047,x11042))
% 204.32/204.33 [1105]~E(x11051,x11052)+E(f641(x11051,x11053,x11054,x11055),f641(x11052,x11053,x11054,x11055))
% 204.32/204.33 [1106]~E(x11061,x11062)+E(f641(x11063,x11061,x11064,x11065),f641(x11063,x11062,x11064,x11065))
% 204.32/204.33 [1107]~E(x11071,x11072)+E(f641(x11073,x11074,x11071,x11075),f641(x11073,x11074,x11072,x11075))
% 204.32/204.33 [1108]~E(x11081,x11082)+E(f641(x11083,x11084,x11085,x11081),f641(x11083,x11084,x11085,x11082))
% 204.32/204.33 [1109]~E(x11091,x11092)+E(f86(x11091,x11093),f86(x11092,x11093))
% 204.32/204.33 [1110]~E(x11101,x11102)+E(f86(x11103,x11101),f86(x11103,x11102))
% 204.32/204.33 [1111]~E(x11111,x11112)+E(f376(x11111,x11113),f376(x11112,x11113))
% 204.32/204.33 [1112]~E(x11121,x11122)+E(f376(x11123,x11121),f376(x11123,x11122))
% 204.32/204.33 [1113]~E(x11131,x11132)+E(f53(x11131,x11133),f53(x11132,x11133))
% 204.32/204.33 [1114]~E(x11141,x11142)+E(f53(x11143,x11141),f53(x11143,x11142))
% 204.32/204.33 [1115]~E(x11151,x11152)+E(f367(x11151,x11153,x11154),f367(x11152,x11153,x11154))
% 204.32/204.33 [1116]~E(x11161,x11162)+E(f367(x11163,x11161,x11164),f367(x11163,x11162,x11164))
% 204.32/204.33 [1117]~E(x11171,x11172)+E(f367(x11173,x11174,x11171),f367(x11173,x11174,x11172))
% 204.32/204.33 [1118]~E(x11181,x11182)+E(f703(x11181,x11183,x11184,x11185,x11186),f703(x11182,x11183,x11184,x11185,x11186))
% 204.32/204.33 [1119]~E(x11191,x11192)+E(f703(x11193,x11191,x11194,x11195,x11196),f703(x11193,x11192,x11194,x11195,x11196))
% 204.32/204.33 [1120]~E(x11201,x11202)+E(f703(x11203,x11204,x11201,x11205,x11206),f703(x11203,x11204,x11202,x11205,x11206))
% 204.32/204.33 [1121]~E(x11211,x11212)+E(f703(x11213,x11214,x11215,x11211,x11216),f703(x11213,x11214,x11215,x11212,x11216))
% 204.32/204.33 [1122]~E(x11221,x11222)+E(f703(x11223,x11224,x11225,x11226,x11221),f703(x11223,x11224,x11225,x11226,x11222))
% 204.32/204.33 [1123]~E(x11231,x11232)+E(f829(x11231,x11233,x11234),f829(x11232,x11233,x11234))
% 204.32/204.33 [1124]~E(x11241,x11242)+E(f829(x11243,x11241,x11244),f829(x11243,x11242,x11244))
% 204.32/204.33 [1125]~E(x11251,x11252)+E(f829(x11253,x11254,x11251),f829(x11253,x11254,x11252))
% 204.32/204.33 [1126]~E(x11261,x11262)+E(f521(x11261),f521(x11262))
% 204.32/204.33 [1127]~E(x11271,x11272)+E(f709(x11271,x11273,x11274,x11275,x11276),f709(x11272,x11273,x11274,x11275,x11276))
% 204.32/204.33 [1128]~E(x11281,x11282)+E(f709(x11283,x11281,x11284,x11285,x11286),f709(x11283,x11282,x11284,x11285,x11286))
% 204.32/204.33 [1129]~E(x11291,x11292)+E(f709(x11293,x11294,x11291,x11295,x11296),f709(x11293,x11294,x11292,x11295,x11296))
% 204.32/204.33 [1130]~E(x11301,x11302)+E(f709(x11303,x11304,x11305,x11301,x11306),f709(x11303,x11304,x11305,x11302,x11306))
% 204.32/204.33 [1131]~E(x11311,x11312)+E(f709(x11313,x11314,x11315,x11316,x11311),f709(x11313,x11314,x11315,x11316,x11312))
% 204.32/204.33 [1132]~E(x11321,x11322)+E(f136(x11321,x11323),f136(x11322,x11323))
% 204.32/204.33 [1133]~E(x11331,x11332)+E(f136(x11333,x11331),f136(x11333,x11332))
% 204.32/204.33 [1134]~E(x11341,x11342)+E(f782(x11341,x11343,x11344,x11345,x11346),f782(x11342,x11343,x11344,x11345,x11346))
% 204.32/204.33 [1135]~E(x11351,x11352)+E(f782(x11353,x11351,x11354,x11355,x11356),f782(x11353,x11352,x11354,x11355,x11356))
% 204.32/204.33 [1136]~E(x11361,x11362)+E(f782(x11363,x11364,x11361,x11365,x11366),f782(x11363,x11364,x11362,x11365,x11366))
% 204.32/204.33 [1137]~E(x11371,x11372)+E(f782(x11373,x11374,x11375,x11371,x11376),f782(x11373,x11374,x11375,x11372,x11376))
% 204.32/204.33 [1138]~E(x11381,x11382)+E(f782(x11383,x11384,x11385,x11386,x11381),f782(x11383,x11384,x11385,x11386,x11382))
% 204.32/204.33 [1139]~E(x11391,x11392)+E(f607(x11391,x11393,x11394,x11395),f607(x11392,x11393,x11394,x11395))
% 204.32/204.33 [1140]~E(x11401,x11402)+E(f607(x11403,x11401,x11404,x11405),f607(x11403,x11402,x11404,x11405))
% 204.32/204.33 [1141]~E(x11411,x11412)+E(f607(x11413,x11414,x11411,x11415),f607(x11413,x11414,x11412,x11415))
% 204.32/204.33 [1142]~E(x11421,x11422)+E(f607(x11423,x11424,x11425,x11421),f607(x11423,x11424,x11425,x11422))
% 204.32/204.33 [1143]~E(x11431,x11432)+E(f682(x11431,x11433,x11434),f682(x11432,x11433,x11434))
% 204.32/204.33 [1144]~E(x11441,x11442)+E(f682(x11443,x11441,x11444),f682(x11443,x11442,x11444))
% 204.32/204.33 [1145]~E(x11451,x11452)+E(f682(x11453,x11454,x11451),f682(x11453,x11454,x11452))
% 204.32/204.33 [1146]~E(x11461,x11462)+E(f355(x11461,x11463,x11464,x11465,x11466),f355(x11462,x11463,x11464,x11465,x11466))
% 204.32/204.33 [1147]~E(x11471,x11472)+E(f355(x11473,x11471,x11474,x11475,x11476),f355(x11473,x11472,x11474,x11475,x11476))
% 204.32/204.33 [1148]~E(x11481,x11482)+E(f355(x11483,x11484,x11481,x11485,x11486),f355(x11483,x11484,x11482,x11485,x11486))
% 204.32/204.33 [1149]~E(x11491,x11492)+E(f355(x11493,x11494,x11495,x11491,x11496),f355(x11493,x11494,x11495,x11492,x11496))
% 204.32/204.33 [1150]~E(x11501,x11502)+E(f355(x11503,x11504,x11505,x11506,x11501),f355(x11503,x11504,x11505,x11506,x11502))
% 204.32/204.33 [1151]~E(x11511,x11512)+E(f883(x11511,x11513,x11514),f883(x11512,x11513,x11514))
% 204.32/204.33 [1152]~E(x11521,x11522)+E(f883(x11523,x11521,x11524),f883(x11523,x11522,x11524))
% 204.32/204.33 [1153]~E(x11531,x11532)+E(f883(x11533,x11534,x11531),f883(x11533,x11534,x11532))
% 204.32/204.33 [1154]~E(x11541,x11542)+E(f648(x11541,x11543,x11544),f648(x11542,x11543,x11544))
% 204.32/204.33 [1155]~E(x11551,x11552)+E(f648(x11553,x11551,x11554),f648(x11553,x11552,x11554))
% 204.32/204.33 [1156]~E(x11561,x11562)+E(f648(x11563,x11564,x11561),f648(x11563,x11564,x11562))
% 204.32/204.33 [1157]~E(x11571,x11572)+E(f636(x11571,x11573,x11574,x11575,x11576),f636(x11572,x11573,x11574,x11575,x11576))
% 204.32/204.33 [1158]~E(x11581,x11582)+E(f636(x11583,x11581,x11584,x11585,x11586),f636(x11583,x11582,x11584,x11585,x11586))
% 204.32/204.33 [1159]~E(x11591,x11592)+E(f636(x11593,x11594,x11591,x11595,x11596),f636(x11593,x11594,x11592,x11595,x11596))
% 204.32/204.33 [1160]~E(x11601,x11602)+E(f636(x11603,x11604,x11605,x11601,x11606),f636(x11603,x11604,x11605,x11602,x11606))
% 204.32/204.33 [1161]~E(x11611,x11612)+E(f636(x11613,x11614,x11615,x11616,x11611),f636(x11613,x11614,x11615,x11616,x11612))
% 204.32/204.33 [1162]~E(x11621,x11622)+E(f122(x11621,x11623,x11624),f122(x11622,x11623,x11624))
% 204.32/204.33 [1163]~E(x11631,x11632)+E(f122(x11633,x11631,x11634),f122(x11633,x11632,x11634))
% 204.32/204.33 [1164]~E(x11641,x11642)+E(f122(x11643,x11644,x11641),f122(x11643,x11644,x11642))
% 204.32/204.33 [1165]~E(x11651,x11652)+E(f604(x11651,x11653,x11654,x11655,x11656),f604(x11652,x11653,x11654,x11655,x11656))
% 204.32/204.33 [1166]~E(x11661,x11662)+E(f604(x11663,x11661,x11664,x11665,x11666),f604(x11663,x11662,x11664,x11665,x11666))
% 204.32/204.33 [1167]~E(x11671,x11672)+E(f604(x11673,x11674,x11671,x11675,x11676),f604(x11673,x11674,x11672,x11675,x11676))
% 204.32/204.33 [1168]~E(x11681,x11682)+E(f604(x11683,x11684,x11685,x11681,x11686),f604(x11683,x11684,x11685,x11682,x11686))
% 204.32/204.33 [1169]~E(x11691,x11692)+E(f604(x11693,x11694,x11695,x11696,x11691),f604(x11693,x11694,x11695,x11696,x11692))
% 204.32/204.33 [1170]~E(x11701,x11702)+E(f301(x11701,x11703,x11704,x11705,x11706),f301(x11702,x11703,x11704,x11705,x11706))
% 204.32/204.33 [1171]~E(x11711,x11712)+E(f301(x11713,x11711,x11714,x11715,x11716),f301(x11713,x11712,x11714,x11715,x11716))
% 204.32/204.33 [1172]~E(x11721,x11722)+E(f301(x11723,x11724,x11721,x11725,x11726),f301(x11723,x11724,x11722,x11725,x11726))
% 204.32/204.33 [1173]~E(x11731,x11732)+E(f301(x11733,x11734,x11735,x11731,x11736),f301(x11733,x11734,x11735,x11732,x11736))
% 204.32/204.33 [1174]~E(x11741,x11742)+E(f301(x11743,x11744,x11745,x11746,x11741),f301(x11743,x11744,x11745,x11746,x11742))
% 204.32/204.33 [1175]~E(x11751,x11752)+E(f550(x11751,x11753,x11754),f550(x11752,x11753,x11754))
% 204.32/204.33 [1176]~E(x11761,x11762)+E(f550(x11763,x11761,x11764),f550(x11763,x11762,x11764))
% 204.32/204.33 [1177]~E(x11771,x11772)+E(f550(x11773,x11774,x11771),f550(x11773,x11774,x11772))
% 204.32/204.33 [1178]~E(x11781,x11782)+E(f359(x11781,x11783,x11784),f359(x11782,x11783,x11784))
% 204.32/204.33 [1179]~E(x11791,x11792)+E(f359(x11793,x11791,x11794),f359(x11793,x11792,x11794))
% 204.32/204.33 [1180]~E(x11801,x11802)+E(f359(x11803,x11804,x11801),f359(x11803,x11804,x11802))
% 204.32/204.33 [1181]~E(x11811,x11812)+E(f204(x11811,x11813),f204(x11812,x11813))
% 204.32/204.33 [1182]~E(x11821,x11822)+E(f204(x11823,x11821),f204(x11823,x11822))
% 204.32/204.33 [1183]~E(x11831,x11832)+E(f487(x11831,x11833),f487(x11832,x11833))
% 204.32/204.33 [1184]~E(x11841,x11842)+E(f487(x11843,x11841),f487(x11843,x11842))
% 204.32/204.33 [1185]~E(x11851,x11852)+E(f133(x11851),f133(x11852))
% 204.32/204.33 [1186]~E(x11861,x11862)+E(f416(x11861,x11863,x11864,x11865),f416(x11862,x11863,x11864,x11865))
% 204.32/204.33 [1187]~E(x11871,x11872)+E(f416(x11873,x11871,x11874,x11875),f416(x11873,x11872,x11874,x11875))
% 204.32/204.33 [1188]~E(x11881,x11882)+E(f416(x11883,x11884,x11881,x11885),f416(x11883,x11884,x11882,x11885))
% 204.32/204.33 [1189]~E(x11891,x11892)+E(f416(x11893,x11894,x11895,x11891),f416(x11893,x11894,x11895,x11892))
% 204.32/204.33 [1190]~E(x11901,x11902)+E(f660(x11901,x11903,x11904,x11905,x11906),f660(x11902,x11903,x11904,x11905,x11906))
% 204.32/204.33 [1191]~E(x11911,x11912)+E(f660(x11913,x11911,x11914,x11915,x11916),f660(x11913,x11912,x11914,x11915,x11916))
% 204.32/204.33 [1192]~E(x11921,x11922)+E(f660(x11923,x11924,x11921,x11925,x11926),f660(x11923,x11924,x11922,x11925,x11926))
% 204.32/204.33 [1193]~E(x11931,x11932)+E(f660(x11933,x11934,x11935,x11931,x11936),f660(x11933,x11934,x11935,x11932,x11936))
% 204.32/204.33 [1194]~E(x11941,x11942)+E(f660(x11943,x11944,x11945,x11946,x11941),f660(x11943,x11944,x11945,x11946,x11942))
% 204.32/204.33 [1195]~E(x11951,x11952)+E(f93(x11951,x11953,x11954),f93(x11952,x11953,x11954))
% 204.32/204.33 [1196]~E(x11961,x11962)+E(f93(x11963,x11961,x11964),f93(x11963,x11962,x11964))
% 204.32/204.33 [1197]~E(x11971,x11972)+E(f93(x11973,x11974,x11971),f93(x11973,x11974,x11972))
% 204.32/204.33 [1198]~E(x11981,x11982)+E(f610(x11981,x11983,x11984,x11985,x11986),f610(x11982,x11983,x11984,x11985,x11986))
% 204.32/204.33 [1199]~E(x11991,x11992)+E(f610(x11993,x11991,x11994,x11995,x11996),f610(x11993,x11992,x11994,x11995,x11996))
% 204.32/204.33 [1200]~E(x12001,x12002)+E(f610(x12003,x12004,x12001,x12005,x12006),f610(x12003,x12004,x12002,x12005,x12006))
% 204.32/204.33 [1201]~E(x12011,x12012)+E(f610(x12013,x12014,x12015,x12011,x12016),f610(x12013,x12014,x12015,x12012,x12016))
% 204.32/204.33 [1202]~E(x12021,x12022)+E(f610(x12023,x12024,x12025,x12026,x12021),f610(x12023,x12024,x12025,x12026,x12022))
% 204.32/204.33 [1203]~E(x12031,x12032)+E(f304(x12031,x12033,x12034,x12035,x12036),f304(x12032,x12033,x12034,x12035,x12036))
% 204.32/204.33 [1204]~E(x12041,x12042)+E(f304(x12043,x12041,x12044,x12045,x12046),f304(x12043,x12042,x12044,x12045,x12046))
% 204.32/204.33 [1205]~E(x12051,x12052)+E(f304(x12053,x12054,x12051,x12055,x12056),f304(x12053,x12054,x12052,x12055,x12056))
% 204.32/204.33 [1206]~E(x12061,x12062)+E(f304(x12063,x12064,x12065,x12061,x12066),f304(x12063,x12064,x12065,x12062,x12066))
% 204.32/204.33 [1207]~E(x12071,x12072)+E(f304(x12073,x12074,x12075,x12076,x12071),f304(x12073,x12074,x12075,x12076,x12072))
% 204.32/204.33 [1208]~E(x12081,x12082)+E(f661(x12081,x12083,x12084,x12085,x12086),f661(x12082,x12083,x12084,x12085,x12086))
% 204.32/204.33 [1209]~E(x12091,x12092)+E(f661(x12093,x12091,x12094,x12095,x12096),f661(x12093,x12092,x12094,x12095,x12096))
% 204.32/204.33 [1210]~E(x12101,x12102)+E(f661(x12103,x12104,x12101,x12105,x12106),f661(x12103,x12104,x12102,x12105,x12106))
% 204.32/204.33 [1211]~E(x12111,x12112)+E(f661(x12113,x12114,x12115,x12111,x12116),f661(x12113,x12114,x12115,x12112,x12116))
% 204.32/204.33 [1212]~E(x12121,x12122)+E(f661(x12123,x12124,x12125,x12126,x12121),f661(x12123,x12124,x12125,x12126,x12122))
% 204.32/204.33 [1213]~E(x12131,x12132)+E(f251(x12131,x12133,x12134),f251(x12132,x12133,x12134))
% 204.32/204.33 [1214]~E(x12141,x12142)+E(f251(x12143,x12141,x12144),f251(x12143,x12142,x12144))
% 204.32/204.33 [1215]~E(x12151,x12152)+E(f251(x12153,x12154,x12151),f251(x12153,x12154,x12152))
% 204.32/204.33 [1216]~E(x12161,x12162)+E(f909(x12161,x12163,x12164,x12165,x12166),f909(x12162,x12163,x12164,x12165,x12166))
% 204.32/204.33 [1217]~E(x12171,x12172)+E(f909(x12173,x12171,x12174,x12175,x12176),f909(x12173,x12172,x12174,x12175,x12176))
% 204.32/204.33 [1218]~E(x12181,x12182)+E(f909(x12183,x12184,x12181,x12185,x12186),f909(x12183,x12184,x12182,x12185,x12186))
% 204.32/204.33 [1219]~E(x12191,x12192)+E(f909(x12193,x12194,x12195,x12191,x12196),f909(x12193,x12194,x12195,x12192,x12196))
% 204.32/204.33 [1220]~E(x12201,x12202)+E(f909(x12203,x12204,x12205,x12206,x12201),f909(x12203,x12204,x12205,x12206,x12202))
% 204.32/204.33 [1221]~E(x12211,x12212)+E(f578(x12211,x12213,x12214),f578(x12212,x12213,x12214))
% 204.32/204.33 [1222]~E(x12221,x12222)+E(f578(x12223,x12221,x12224),f578(x12223,x12222,x12224))
% 204.32/204.33 [1223]~E(x12231,x12232)+E(f578(x12233,x12234,x12231),f578(x12233,x12234,x12232))
% 204.32/204.33 [1224]~E(x12241,x12242)+E(f694(x12241,x12243),f694(x12242,x12243))
% 204.32/204.33 [1225]~E(x12251,x12252)+E(f694(x12253,x12251),f694(x12253,x12252))
% 204.32/204.33 [1226]~E(x12261,x12262)+E(f917(x12261,x12263,x12264,x12265),f917(x12262,x12263,x12264,x12265))
% 204.32/204.33 [1227]~E(x12271,x12272)+E(f917(x12273,x12271,x12274,x12275),f917(x12273,x12272,x12274,x12275))
% 204.32/204.33 [1228]~E(x12281,x12282)+E(f917(x12283,x12284,x12281,x12285),f917(x12283,x12284,x12282,x12285))
% 204.32/204.33 [1229]~E(x12291,x12292)+E(f917(x12293,x12294,x12295,x12291),f917(x12293,x12294,x12295,x12292))
% 204.32/204.33 [1230]~E(x12301,x12302)+E(f26(x12301,x12303,x12304),f26(x12302,x12303,x12304))
% 204.32/204.33 [1231]~E(x12311,x12312)+E(f26(x12313,x12311,x12314),f26(x12313,x12312,x12314))
% 204.32/204.33 [1232]~E(x12321,x12322)+E(f26(x12323,x12324,x12321),f26(x12323,x12324,x12322))
% 204.32/204.33 [1233]~E(x12331,x12332)+E(f466(x12331,x12333,x12334,x12335,x12336,x12337),f466(x12332,x12333,x12334,x12335,x12336,x12337))
% 204.32/204.33 [1234]~E(x12341,x12342)+E(f466(x12343,x12341,x12344,x12345,x12346,x12347),f466(x12343,x12342,x12344,x12345,x12346,x12347))
% 204.32/204.33 [1235]~E(x12351,x12352)+E(f466(x12353,x12354,x12351,x12355,x12356,x12357),f466(x12353,x12354,x12352,x12355,x12356,x12357))
% 204.32/204.33 [1236]~E(x12361,x12362)+E(f466(x12363,x12364,x12365,x12361,x12366,x12367),f466(x12363,x12364,x12365,x12362,x12366,x12367))
% 204.32/204.33 [1237]~E(x12371,x12372)+E(f466(x12373,x12374,x12375,x12376,x12371,x12377),f466(x12373,x12374,x12375,x12376,x12372,x12377))
% 204.32/204.33 [1238]~E(x12381,x12382)+E(f466(x12383,x12384,x12385,x12386,x12387,x12381),f466(x12383,x12384,x12385,x12386,x12387,x12382))
% 204.32/204.33 [1239]~E(x12391,x12392)+E(f656(x12391,x12393,x12394,x12395),f656(x12392,x12393,x12394,x12395))
% 204.32/204.33 [1240]~E(x12401,x12402)+E(f656(x12403,x12401,x12404,x12405),f656(x12403,x12402,x12404,x12405))
% 204.32/204.33 [1241]~E(x12411,x12412)+E(f656(x12413,x12414,x12411,x12415),f656(x12413,x12414,x12412,x12415))
% 204.32/204.33 [1242]~E(x12421,x12422)+E(f656(x12423,x12424,x12425,x12421),f656(x12423,x12424,x12425,x12422))
% 204.32/204.33 [1243]~E(x12431,x12432)+E(f577(x12431,x12433,x12434),f577(x12432,x12433,x12434))
% 204.32/204.33 [1244]~E(x12441,x12442)+E(f577(x12443,x12441,x12444),f577(x12443,x12442,x12444))
% 204.32/204.33 [1245]~E(x12451,x12452)+E(f577(x12453,x12454,x12451),f577(x12453,x12454,x12452))
% 204.32/204.33 [1246]~E(x12461,x12462)+E(f257(x12461,x12463,x12464,x12465,x12466),f257(x12462,x12463,x12464,x12465,x12466))
% 204.32/204.33 [1247]~E(x12471,x12472)+E(f257(x12473,x12471,x12474,x12475,x12476),f257(x12473,x12472,x12474,x12475,x12476))
% 204.32/204.33 [1248]~E(x12481,x12482)+E(f257(x12483,x12484,x12481,x12485,x12486),f257(x12483,x12484,x12482,x12485,x12486))
% 204.32/204.33 [1249]~E(x12491,x12492)+E(f257(x12493,x12494,x12495,x12491,x12496),f257(x12493,x12494,x12495,x12492,x12496))
% 204.32/204.33 [1250]~E(x12501,x12502)+E(f257(x12503,x12504,x12505,x12506,x12501),f257(x12503,x12504,x12505,x12506,x12502))
% 204.32/204.33 [1251]~E(x12511,x12512)+E(f159(x12511,x12513,x12514),f159(x12512,x12513,x12514))
% 204.32/204.33 [1252]~E(x12521,x12522)+E(f159(x12523,x12521,x12524),f159(x12523,x12522,x12524))
% 204.32/204.33 [1253]~E(x12531,x12532)+E(f159(x12533,x12534,x12531),f159(x12533,x12534,x12532))
% 204.32/204.33 [1254]~E(x12541,x12542)+E(f120(x12541,x12543,x12544),f120(x12542,x12543,x12544))
% 204.32/204.33 [1255]~E(x12551,x12552)+E(f120(x12553,x12551,x12554),f120(x12553,x12552,x12554))
% 204.32/204.33 [1256]~E(x12561,x12562)+E(f120(x12563,x12564,x12561),f120(x12563,x12564,x12562))
% 204.32/204.33 [1257]~E(x12571,x12572)+E(f786(x12571,x12573,x12574,x12575),f786(x12572,x12573,x12574,x12575))
% 204.32/204.33 [1258]~E(x12581,x12582)+E(f786(x12583,x12581,x12584,x12585),f786(x12583,x12582,x12584,x12585))
% 204.32/204.33 [1259]~E(x12591,x12592)+E(f786(x12593,x12594,x12591,x12595),f786(x12593,x12594,x12592,x12595))
% 204.32/204.33 [1260]~E(x12601,x12602)+E(f786(x12603,x12604,x12605,x12601),f786(x12603,x12604,x12605,x12602))
% 204.32/204.33 [1261]~E(x12611,x12612)+E(f468(x12611,x12613,x12614,x12615),f468(x12612,x12613,x12614,x12615))
% 204.32/204.33 [1262]~E(x12621,x12622)+E(f468(x12623,x12621,x12624,x12625),f468(x12623,x12622,x12624,x12625))
% 204.32/204.33 [1263]~E(x12631,x12632)+E(f468(x12633,x12634,x12631,x12635),f468(x12633,x12634,x12632,x12635))
% 204.32/204.33 [1264]~E(x12641,x12642)+E(f468(x12643,x12644,x12645,x12641),f468(x12643,x12644,x12645,x12642))
% 204.32/204.33 [1265]~E(x12651,x12652)+E(f491(x12651,x12653,x12654),f491(x12652,x12653,x12654))
% 204.32/204.33 [1266]~E(x12661,x12662)+E(f491(x12663,x12661,x12664),f491(x12663,x12662,x12664))
% 204.32/204.33 [1267]~E(x12671,x12672)+E(f491(x12673,x12674,x12671),f491(x12673,x12674,x12672))
% 204.32/204.33 [1268]~E(x12681,x12682)+E(f707(x12681,x12683,x12684,x12685,x12686),f707(x12682,x12683,x12684,x12685,x12686))
% 204.32/204.33 [1269]~E(x12691,x12692)+E(f707(x12693,x12691,x12694,x12695,x12696),f707(x12693,x12692,x12694,x12695,x12696))
% 204.32/204.33 [1270]~E(x12701,x12702)+E(f707(x12703,x12704,x12701,x12705,x12706),f707(x12703,x12704,x12702,x12705,x12706))
% 204.32/204.33 [1271]~E(x12711,x12712)+E(f707(x12713,x12714,x12715,x12711,x12716),f707(x12713,x12714,x12715,x12712,x12716))
% 204.32/204.33 [1272]~E(x12721,x12722)+E(f707(x12723,x12724,x12725,x12726,x12721),f707(x12723,x12724,x12725,x12726,x12722))
% 204.32/204.33 [1273]~E(x12731,x12732)+E(f94(x12731),f94(x12732))
% 204.32/204.33 [1274]~E(x12741,x12742)+E(f474(x12741,x12743,x12744),f474(x12742,x12743,x12744))
% 204.32/204.33 [1275]~E(x12751,x12752)+E(f474(x12753,x12751,x12754),f474(x12753,x12752,x12754))
% 204.32/204.33 [1276]~E(x12761,x12762)+E(f474(x12763,x12764,x12761),f474(x12763,x12764,x12762))
% 204.32/204.33 [1277]~E(x12771,x12772)+E(f408(x12771,x12773,x12774,x12775),f408(x12772,x12773,x12774,x12775))
% 204.32/204.33 [1278]~E(x12781,x12782)+E(f408(x12783,x12781,x12784,x12785),f408(x12783,x12782,x12784,x12785))
% 204.32/204.33 [1279]~E(x12791,x12792)+E(f408(x12793,x12794,x12791,x12795),f408(x12793,x12794,x12792,x12795))
% 204.32/204.33 [1280]~E(x12801,x12802)+E(f408(x12803,x12804,x12805,x12801),f408(x12803,x12804,x12805,x12802))
% 204.32/204.33 [1281]~E(x12811,x12812)+E(f773(x12811,x12813,x12814),f773(x12812,x12813,x12814))
% 204.32/204.33 [1282]~E(x12821,x12822)+E(f773(x12823,x12821,x12824),f773(x12823,x12822,x12824))
% 204.32/204.33 [1283]~E(x12831,x12832)+E(f773(x12833,x12834,x12831),f773(x12833,x12834,x12832))
% 204.32/204.33 [1284]~E(x12841,x12842)+E(f465(x12841,x12843,x12844,x12845),f465(x12842,x12843,x12844,x12845))
% 204.32/204.33 [1285]~E(x12851,x12852)+E(f465(x12853,x12851,x12854,x12855),f465(x12853,x12852,x12854,x12855))
% 204.32/204.33 [1286]~E(x12861,x12862)+E(f465(x12863,x12864,x12861,x12865),f465(x12863,x12864,x12862,x12865))
% 204.32/204.33 [1287]~E(x12871,x12872)+E(f465(x12873,x12874,x12875,x12871),f465(x12873,x12874,x12875,x12872))
% 204.32/204.33 [1288]~E(x12881,x12882)+E(f570(x12881,x12883,x12884,x12885),f570(x12882,x12883,x12884,x12885))
% 204.32/204.33 [1289]~E(x12891,x12892)+E(f570(x12893,x12891,x12894,x12895),f570(x12893,x12892,x12894,x12895))
% 204.32/204.33 [1290]~E(x12901,x12902)+E(f570(x12903,x12904,x12901,x12905),f570(x12903,x12904,x12902,x12905))
% 204.32/204.33 [1291]~E(x12911,x12912)+E(f570(x12913,x12914,x12915,x12911),f570(x12913,x12914,x12915,x12912))
% 204.32/204.33 [1292]~E(x12921,x12922)+E(f796(x12921,x12923,x12924,x12925,x12926,x12927,x12928),f796(x12922,x12923,x12924,x12925,x12926,x12927,x12928))
% 204.32/204.33 [1293]~E(x12931,x12932)+E(f796(x12933,x12931,x12934,x12935,x12936,x12937,x12938),f796(x12933,x12932,x12934,x12935,x12936,x12937,x12938))
% 204.32/204.33 [1294]~E(x12941,x12942)+E(f796(x12943,x12944,x12941,x12945,x12946,x12947,x12948),f796(x12943,x12944,x12942,x12945,x12946,x12947,x12948))
% 204.32/204.33 [1295]~E(x12951,x12952)+E(f796(x12953,x12954,x12955,x12951,x12956,x12957,x12958),f796(x12953,x12954,x12955,x12952,x12956,x12957,x12958))
% 204.32/204.33 [1296]~E(x12961,x12962)+E(f796(x12963,x12964,x12965,x12966,x12961,x12967,x12968),f796(x12963,x12964,x12965,x12966,x12962,x12967,x12968))
% 204.32/204.33 [1297]~E(x12971,x12972)+E(f796(x12973,x12974,x12975,x12976,x12977,x12971,x12978),f796(x12973,x12974,x12975,x12976,x12977,x12972,x12978))
% 204.32/204.33 [1298]~E(x12981,x12982)+E(f796(x12983,x12984,x12985,x12986,x12987,x12988,x12981),f796(x12983,x12984,x12985,x12986,x12987,x12988,x12982))
% 204.32/204.33 [1299]~E(x12991,x12992)+E(f615(x12991,x12993,x12994,x12995,x12996),f615(x12992,x12993,x12994,x12995,x12996))
% 204.32/204.33 [1300]~E(x13001,x13002)+E(f615(x13003,x13001,x13004,x13005,x13006),f615(x13003,x13002,x13004,x13005,x13006))
% 204.32/204.33 [1301]~E(x13011,x13012)+E(f615(x13013,x13014,x13011,x13015,x13016),f615(x13013,x13014,x13012,x13015,x13016))
% 204.32/204.33 [1302]~E(x13021,x13022)+E(f615(x13023,x13024,x13025,x13021,x13026),f615(x13023,x13024,x13025,x13022,x13026))
% 204.32/204.33 [1303]~E(x13031,x13032)+E(f615(x13033,x13034,x13035,x13036,x13031),f615(x13033,x13034,x13035,x13036,x13032))
% 204.32/204.33 [1304]~E(x13041,x13042)+E(f793(x13041,x13043,x13044,x13045),f793(x13042,x13043,x13044,x13045))
% 204.32/204.33 [1305]~E(x13051,x13052)+E(f793(x13053,x13051,x13054,x13055),f793(x13053,x13052,x13054,x13055))
% 204.32/204.33 [1306]~E(x13061,x13062)+E(f793(x13063,x13064,x13061,x13065),f793(x13063,x13064,x13062,x13065))
% 204.32/204.33 [1307]~E(x13071,x13072)+E(f793(x13073,x13074,x13075,x13071),f793(x13073,x13074,x13075,x13072))
% 204.32/204.33 [1308]~E(x13081,x13082)+E(f558(x13081,x13083,x13084,x13085),f558(x13082,x13083,x13084,x13085))
% 204.32/204.33 [1309]~E(x13091,x13092)+E(f558(x13093,x13091,x13094,x13095),f558(x13093,x13092,x13094,x13095))
% 204.32/204.33 [1310]~E(x13101,x13102)+E(f558(x13103,x13104,x13101,x13105),f558(x13103,x13104,x13102,x13105))
% 204.32/204.33 [1311]~E(x13111,x13112)+E(f558(x13113,x13114,x13115,x13111),f558(x13113,x13114,x13115,x13112))
% 204.32/204.33 [1312]~E(x13121,x13122)+E(f696(x13121,x13123,x13124,x13125),f696(x13122,x13123,x13124,x13125))
% 204.32/204.33 [1313]~E(x13131,x13132)+E(f696(x13133,x13131,x13134,x13135),f696(x13133,x13132,x13134,x13135))
% 204.32/204.33 [1314]~E(x13141,x13142)+E(f696(x13143,x13144,x13141,x13145),f696(x13143,x13144,x13142,x13145))
% 204.32/204.33 [1315]~E(x13151,x13152)+E(f696(x13153,x13154,x13155,x13151),f696(x13153,x13154,x13155,x13152))
% 204.32/204.33 [1316]~E(x13161,x13162)+E(f563(x13161,x13163,x13164,x13165,x13166,x13167),f563(x13162,x13163,x13164,x13165,x13166,x13167))
% 204.32/204.33 [1317]~E(x13171,x13172)+E(f563(x13173,x13171,x13174,x13175,x13176,x13177),f563(x13173,x13172,x13174,x13175,x13176,x13177))
% 204.32/204.33 [1318]~E(x13181,x13182)+E(f563(x13183,x13184,x13181,x13185,x13186,x13187),f563(x13183,x13184,x13182,x13185,x13186,x13187))
% 204.32/204.33 [1319]~E(x13191,x13192)+E(f563(x13193,x13194,x13195,x13191,x13196,x13197),f563(x13193,x13194,x13195,x13192,x13196,x13197))
% 204.32/204.33 [1320]~E(x13201,x13202)+E(f563(x13203,x13204,x13205,x13206,x13201,x13207),f563(x13203,x13204,x13205,x13206,x13202,x13207))
% 204.32/204.33 [1321]~E(x13211,x13212)+E(f563(x13213,x13214,x13215,x13216,x13217,x13211),f563(x13213,x13214,x13215,x13216,x13217,x13212))
% 204.32/204.33 [1322]~E(x13221,x13222)+E(f768(x13221,x13223,x13224),f768(x13222,x13223,x13224))
% 204.32/204.33 [1323]~E(x13231,x13232)+E(f768(x13233,x13231,x13234),f768(x13233,x13232,x13234))
% 204.32/204.33 [1324]~E(x13241,x13242)+E(f768(x13243,x13244,x13241),f768(x13243,x13244,x13242))
% 204.32/204.33 [1325]~E(x13251,x13252)+E(f413(x13251,x13253,x13254,x13255),f413(x13252,x13253,x13254,x13255))
% 204.32/204.33 [1326]~E(x13261,x13262)+E(f413(x13263,x13261,x13264,x13265),f413(x13263,x13262,x13264,x13265))
% 204.32/204.33 [1327]~E(x13271,x13272)+E(f413(x13273,x13274,x13271,x13275),f413(x13273,x13274,x13272,x13275))
% 204.32/204.33 [1328]~E(x13281,x13282)+E(f413(x13283,x13284,x13285,x13281),f413(x13283,x13284,x13285,x13282))
% 204.32/204.33 [1329]~E(x13291,x13292)+E(f484(x13291,x13293,x13294),f484(x13292,x13293,x13294))
% 204.32/204.33 [1330]~E(x13301,x13302)+E(f484(x13303,x13301,x13304),f484(x13303,x13302,x13304))
% 204.32/204.33 [1331]~E(x13311,x13312)+E(f484(x13313,x13314,x13311),f484(x13313,x13314,x13312))
% 204.32/204.33 [1332]~E(x13321,x13322)+E(f436(x13321,x13323,x13324),f436(x13322,x13323,x13324))
% 204.32/204.33 [1333]~E(x13331,x13332)+E(f436(x13333,x13331,x13334),f436(x13333,x13332,x13334))
% 204.32/204.33 [1334]~E(x13341,x13342)+E(f436(x13343,x13344,x13341),f436(x13343,x13344,x13342))
% 204.32/204.33 [1335]~E(x13351,x13352)+E(f723(x13351,x13353,x13354),f723(x13352,x13353,x13354))
% 204.32/204.33 [1336]~E(x13361,x13362)+E(f723(x13363,x13361,x13364),f723(x13363,x13362,x13364))
% 204.32/204.33 [1337]~E(x13371,x13372)+E(f723(x13373,x13374,x13371),f723(x13373,x13374,x13372))
% 204.32/204.33 [1338]~E(x13381,x13382)+E(f494(x13381,x13383,x13384,x13385),f494(x13382,x13383,x13384,x13385))
% 204.32/204.33 [1339]~E(x13391,x13392)+E(f494(x13393,x13391,x13394,x13395),f494(x13393,x13392,x13394,x13395))
% 204.32/204.33 [1340]~E(x13401,x13402)+E(f494(x13403,x13404,x13401,x13405),f494(x13403,x13404,x13402,x13405))
% 204.32/204.33 [1341]~E(x13411,x13412)+E(f494(x13413,x13414,x13415,x13411),f494(x13413,x13414,x13415,x13412))
% 204.32/204.33 [1342]~E(x13421,x13422)+E(f392(x13421,x13423),f392(x13422,x13423))
% 204.32/204.33 [1343]~E(x13431,x13432)+E(f392(x13433,x13431),f392(x13433,x13432))
% 204.32/204.33 [1344]~E(x13441,x13442)+E(f630(x13441,x13443,x13444,x13445,x13446),f630(x13442,x13443,x13444,x13445,x13446))
% 204.32/204.33 [1345]~E(x13451,x13452)+E(f630(x13453,x13451,x13454,x13455,x13456),f630(x13453,x13452,x13454,x13455,x13456))
% 204.32/204.33 [1346]~E(x13461,x13462)+E(f630(x13463,x13464,x13461,x13465,x13466),f630(x13463,x13464,x13462,x13465,x13466))
% 204.32/204.33 [1347]~E(x13471,x13472)+E(f630(x13473,x13474,x13475,x13471,x13476),f630(x13473,x13474,x13475,x13472,x13476))
% 204.32/204.33 [1348]~E(x13481,x13482)+E(f630(x13483,x13484,x13485,x13486,x13481),f630(x13483,x13484,x13485,x13486,x13482))
% 204.32/204.33 [1349]~E(x13491,x13492)+E(f399(x13491,x13493,x13494,x13495),f399(x13492,x13493,x13494,x13495))
% 204.32/204.33 [1350]~E(x13501,x13502)+E(f399(x13503,x13501,x13504,x13505),f399(x13503,x13502,x13504,x13505))
% 204.32/204.33 [1351]~E(x13511,x13512)+E(f399(x13513,x13514,x13511,x13515),f399(x13513,x13514,x13512,x13515))
% 204.32/204.33 [1352]~E(x13521,x13522)+E(f399(x13523,x13524,x13525,x13521),f399(x13523,x13524,x13525,x13522))
% 204.32/204.33 [1353]~E(x13531,x13532)+E(f758(x13531,x13533,x13534),f758(x13532,x13533,x13534))
% 204.32/204.33 [1354]~E(x13541,x13542)+E(f758(x13543,x13541,x13544),f758(x13543,x13542,x13544))
% 204.32/204.33 [1355]~E(x13551,x13552)+E(f758(x13553,x13554,x13551),f758(x13553,x13554,x13552))
% 204.32/204.33 [1356]~E(x13561,x13562)+E(f606(x13561,x13563,x13564),f606(x13562,x13563,x13564))
% 204.32/204.33 [1357]~E(x13571,x13572)+E(f606(x13573,x13571,x13574),f606(x13573,x13572,x13574))
% 204.32/204.33 [1358]~E(x13581,x13582)+E(f606(x13583,x13584,x13581),f606(x13583,x13584,x13582))
% 204.32/204.33 [1359]~E(x13591,x13592)+E(f594(x13591,x13593,x13594,x13595,x13596,x13597),f594(x13592,x13593,x13594,x13595,x13596,x13597))
% 204.32/204.33 [1360]~E(x13601,x13602)+E(f594(x13603,x13601,x13604,x13605,x13606,x13607),f594(x13603,x13602,x13604,x13605,x13606,x13607))
% 204.32/204.33 [1361]~E(x13611,x13612)+E(f594(x13613,x13614,x13611,x13615,x13616,x13617),f594(x13613,x13614,x13612,x13615,x13616,x13617))
% 204.32/204.33 [1362]~E(x13621,x13622)+E(f594(x13623,x13624,x13625,x13621,x13626,x13627),f594(x13623,x13624,x13625,x13622,x13626,x13627))
% 204.32/204.33 [1363]~E(x13631,x13632)+E(f594(x13633,x13634,x13635,x13636,x13631,x13637),f594(x13633,x13634,x13635,x13636,x13632,x13637))
% 204.32/204.33 [1364]~E(x13641,x13642)+E(f594(x13643,x13644,x13645,x13646,x13647,x13641),f594(x13643,x13644,x13645,x13646,x13647,x13642))
% 204.32/204.33 [1365]~E(x13651,x13652)+E(f839(x13651,x13653,x13654),f839(x13652,x13653,x13654))
% 204.32/204.33 [1366]~E(x13661,x13662)+E(f839(x13663,x13661,x13664),f839(x13663,x13662,x13664))
% 204.32/204.33 [1367]~E(x13671,x13672)+E(f839(x13673,x13674,x13671),f839(x13673,x13674,x13672))
% 204.32/204.33 [1368]~E(x13681,x13682)+E(f220(x13681,x13683),f220(x13682,x13683))
% 204.32/204.33 [1369]~E(x13691,x13692)+E(f220(x13693,x13691),f220(x13693,x13692))
% 204.32/204.33 [1370]~E(x13701,x13702)+E(f492(x13701,x13703,x13704),f492(x13702,x13703,x13704))
% 204.32/204.33 [1371]~E(x13711,x13712)+E(f492(x13713,x13711,x13714),f492(x13713,x13712,x13714))
% 204.32/204.33 [1372]~E(x13721,x13722)+E(f492(x13723,x13724,x13721),f492(x13723,x13724,x13722))
% 204.32/204.33 [1373]~E(x13731,x13732)+E(f482(x13731,x13733),f482(x13732,x13733))
% 204.32/204.33 [1374]~E(x13741,x13742)+E(f482(x13743,x13741),f482(x13743,x13742))
% 204.32/204.33 [1375]~E(x13751,x13752)+E(f500(x13751,x13753,x13754),f500(x13752,x13753,x13754))
% 204.32/204.33 [1376]~E(x13761,x13762)+E(f500(x13763,x13761,x13764),f500(x13763,x13762,x13764))
% 204.32/204.33 [1377]~E(x13771,x13772)+E(f500(x13773,x13774,x13771),f500(x13773,x13774,x13772))
% 204.32/204.33 [1378]~E(x13781,x13782)+E(f646(x13781,x13783,x13784,x13785,x13786),f646(x13782,x13783,x13784,x13785,x13786))
% 204.32/204.33 [1379]~E(x13791,x13792)+E(f646(x13793,x13791,x13794,x13795,x13796),f646(x13793,x13792,x13794,x13795,x13796))
% 204.32/204.33 [1380]~E(x13801,x13802)+E(f646(x13803,x13804,x13801,x13805,x13806),f646(x13803,x13804,x13802,x13805,x13806))
% 204.32/204.33 [1381]~E(x13811,x13812)+E(f646(x13813,x13814,x13815,x13811,x13816),f646(x13813,x13814,x13815,x13812,x13816))
% 204.32/204.33 [1382]~E(x13821,x13822)+E(f646(x13823,x13824,x13825,x13826,x13821),f646(x13823,x13824,x13825,x13826,x13822))
% 204.32/204.33 [1383]~E(x13831,x13832)+E(f562(x13831,x13833,x13834,x13835,x13836,x13837),f562(x13832,x13833,x13834,x13835,x13836,x13837))
% 204.32/204.33 [1384]~E(x13841,x13842)+E(f562(x13843,x13841,x13844,x13845,x13846,x13847),f562(x13843,x13842,x13844,x13845,x13846,x13847))
% 204.32/204.33 [1385]~E(x13851,x13852)+E(f562(x13853,x13854,x13851,x13855,x13856,x13857),f562(x13853,x13854,x13852,x13855,x13856,x13857))
% 204.32/204.33 [1386]~E(x13861,x13862)+E(f562(x13863,x13864,x13865,x13861,x13866,x13867),f562(x13863,x13864,x13865,x13862,x13866,x13867))
% 204.32/204.33 [1387]~E(x13871,x13872)+E(f562(x13873,x13874,x13875,x13876,x13871,x13877),f562(x13873,x13874,x13875,x13876,x13872,x13877))
% 204.32/204.33 [1388]~E(x13881,x13882)+E(f562(x13883,x13884,x13885,x13886,x13887,x13881),f562(x13883,x13884,x13885,x13886,x13887,x13882))
% 204.32/204.33 [1389]~E(x13891,x13892)+E(f225(x13891,x13893,x13894,x13895),f225(x13892,x13893,x13894,x13895))
% 204.32/204.33 [1390]~E(x13901,x13902)+E(f225(x13903,x13901,x13904,x13905),f225(x13903,x13902,x13904,x13905))
% 204.32/204.33 [1391]~E(x13911,x13912)+E(f225(x13913,x13914,x13911,x13915),f225(x13913,x13914,x13912,x13915))
% 204.32/204.33 [1392]~E(x13921,x13922)+E(f225(x13923,x13924,x13925,x13921),f225(x13923,x13924,x13925,x13922))
% 204.32/204.33 [1393]~E(x13931,x13932)+E(f851(x13931,x13933,x13934,x13935,x13936,x13937,x13938,x13939),f851(x13932,x13933,x13934,x13935,x13936,x13937,x13938,x13939))
% 204.32/204.33 [1394]~E(x13941,x13942)+E(f851(x13943,x13941,x13944,x13945,x13946,x13947,x13948,x13949),f851(x13943,x13942,x13944,x13945,x13946,x13947,x13948,x13949))
% 204.32/204.33 [1395]~E(x13951,x13952)+E(f851(x13953,x13954,x13951,x13955,x13956,x13957,x13958,x13959),f851(x13953,x13954,x13952,x13955,x13956,x13957,x13958,x13959))
% 204.32/204.33 [1396]~E(x13961,x13962)+E(f851(x13963,x13964,x13965,x13961,x13966,x13967,x13968,x13969),f851(x13963,x13964,x13965,x13962,x13966,x13967,x13968,x13969))
% 204.32/204.33 [1397]~E(x13971,x13972)+E(f851(x13973,x13974,x13975,x13976,x13971,x13977,x13978,x13979),f851(x13973,x13974,x13975,x13976,x13972,x13977,x13978,x13979))
% 204.32/204.33 [1398]~E(x13981,x13982)+E(f851(x13983,x13984,x13985,x13986,x13987,x13981,x13988,x13989),f851(x13983,x13984,x13985,x13986,x13987,x13982,x13988,x13989))
% 204.32/204.33 [1399]~E(x13991,x13992)+E(f851(x13993,x13994,x13995,x13996,x13997,x13998,x13991,x13999),f851(x13993,x13994,x13995,x13996,x13997,x13998,x13992,x13999))
% 204.32/204.33 [1400]~E(x14001,x14002)+E(f851(x14003,x14004,x14005,x14006,x14007,x14008,x14009,x14001),f851(x14003,x14004,x14005,x14006,x14007,x14008,x14009,x14002))
% 204.32/204.33 [1401]~E(x14011,x14012)+E(f546(x14011,x14013,x14014,x14015),f546(x14012,x14013,x14014,x14015))
% 204.32/204.33 [1402]~E(x14021,x14022)+E(f546(x14023,x14021,x14024,x14025),f546(x14023,x14022,x14024,x14025))
% 204.32/204.33 [1403]~E(x14031,x14032)+E(f546(x14033,x14034,x14031,x14035),f546(x14033,x14034,x14032,x14035))
% 204.32/204.33 [1404]~E(x14041,x14042)+E(f546(x14043,x14044,x14045,x14041),f546(x14043,x14044,x14045,x14042))
% 204.32/204.33 [1405]~E(x14051,x14052)+E(f249(x14051,x14053,x14054),f249(x14052,x14053,x14054))
% 204.32/204.33 [1406]~E(x14061,x14062)+E(f249(x14063,x14061,x14064),f249(x14063,x14062,x14064))
% 204.32/204.33 [1407]~E(x14071,x14072)+E(f249(x14073,x14074,x14071),f249(x14073,x14074,x14072))
% 204.32/204.33 [1408]~E(x14081,x14082)+E(f496(x14081,x14083,x14084,x14085),f496(x14082,x14083,x14084,x14085))
% 204.32/204.33 [1409]~E(x14091,x14092)+E(f496(x14093,x14091,x14094,x14095),f496(x14093,x14092,x14094,x14095))
% 204.32/204.33 [1410]~E(x14101,x14102)+E(f496(x14103,x14104,x14101,x14105),f496(x14103,x14104,x14102,x14105))
% 204.32/204.33 [1411]~E(x14111,x14112)+E(f496(x14113,x14114,x14115,x14111),f496(x14113,x14114,x14115,x14112))
% 204.32/204.33 [1412]~E(x14121,x14122)+E(f608(x14121,x14123,x14124,x14125),f608(x14122,x14123,x14124,x14125))
% 204.32/204.33 [1413]~E(x14131,x14132)+E(f608(x14133,x14131,x14134,x14135),f608(x14133,x14132,x14134,x14135))
% 204.32/204.33 [1414]~E(x14141,x14142)+E(f608(x14143,x14144,x14141,x14145),f608(x14143,x14144,x14142,x14145))
% 204.32/204.33 [1415]~E(x14151,x14152)+E(f608(x14153,x14154,x14155,x14151),f608(x14153,x14154,x14155,x14152))
% 204.32/204.33 [1416]~E(x14161,x14162)+E(f565(x14161,x14163,x14164,x14165),f565(x14162,x14163,x14164,x14165))
% 204.32/204.33 [1417]~E(x14171,x14172)+E(f565(x14173,x14171,x14174,x14175),f565(x14173,x14172,x14174,x14175))
% 204.32/204.33 [1418]~E(x14181,x14182)+E(f565(x14183,x14184,x14181,x14185),f565(x14183,x14184,x14182,x14185))
% 204.32/204.33 [1419]~E(x14191,x14192)+E(f565(x14193,x14194,x14195,x14191),f565(x14193,x14194,x14195,x14192))
% 204.32/204.33 [1420]~E(x14201,x14202)+E(f858(x14201,x14203,x14204,x14205),f858(x14202,x14203,x14204,x14205))
% 204.32/204.33 [1421]~E(x14211,x14212)+E(f858(x14213,x14211,x14214,x14215),f858(x14213,x14212,x14214,x14215))
% 204.32/204.33 [1422]~E(x14221,x14222)+E(f858(x14223,x14224,x14221,x14225),f858(x14223,x14224,x14222,x14225))
% 204.32/204.33 [1423]~E(x14231,x14232)+E(f858(x14233,x14234,x14235,x14231),f858(x14233,x14234,x14235,x14232))
% 204.32/204.33 [1424]~E(x14241,x14242)+E(f752(x14241,x14243,x14244,x14245,x14246),f752(x14242,x14243,x14244,x14245,x14246))
% 204.32/204.33 [1425]~E(x14251,x14252)+E(f752(x14253,x14251,x14254,x14255,x14256),f752(x14253,x14252,x14254,x14255,x14256))
% 204.32/204.33 [1426]~E(x14261,x14262)+E(f752(x14263,x14264,x14261,x14265,x14266),f752(x14263,x14264,x14262,x14265,x14266))
% 204.32/204.33 [1427]~E(x14271,x14272)+E(f752(x14273,x14274,x14275,x14271,x14276),f752(x14273,x14274,x14275,x14272,x14276))
% 204.32/204.33 [1428]~E(x14281,x14282)+E(f752(x14283,x14284,x14285,x14286,x14281),f752(x14283,x14284,x14285,x14286,x14282))
% 204.32/204.33 [1429]~E(x14291,x14292)+E(f459(x14291,x14293,x14294,x14295,x14296),f459(x14292,x14293,x14294,x14295,x14296))
% 204.32/204.33 [1430]~E(x14301,x14302)+E(f459(x14303,x14301,x14304,x14305,x14306),f459(x14303,x14302,x14304,x14305,x14306))
% 204.32/204.33 [1431]~E(x14311,x14312)+E(f459(x14313,x14314,x14311,x14315,x14316),f459(x14313,x14314,x14312,x14315,x14316))
% 204.32/204.33 [1432]~E(x14321,x14322)+E(f459(x14323,x14324,x14325,x14321,x14326),f459(x14323,x14324,x14325,x14322,x14326))
% 204.32/204.33 [1433]~E(x14331,x14332)+E(f459(x14333,x14334,x14335,x14336,x14331),f459(x14333,x14334,x14335,x14336,x14332))
% 204.32/204.33 [1434]~E(x14341,x14342)+E(f446(x14341,x14343,x14344,x14345,x14346,x14347,x14348,x14349,x143410),f446(x14342,x14343,x14344,x14345,x14346,x14347,x14348,x14349,x143410))
% 204.32/204.33 [1435]~E(x14351,x14352)+E(f446(x14353,x14351,x14354,x14355,x14356,x14357,x14358,x14359,x143510),f446(x14353,x14352,x14354,x14355,x14356,x14357,x14358,x14359,x143510))
% 204.32/204.33 [1436]~E(x14361,x14362)+E(f446(x14363,x14364,x14361,x14365,x14366,x14367,x14368,x14369,x143610),f446(x14363,x14364,x14362,x14365,x14366,x14367,x14368,x14369,x143610))
% 204.32/204.33 [1437]~E(x14371,x14372)+E(f446(x14373,x14374,x14375,x14371,x14376,x14377,x14378,x14379,x143710),f446(x14373,x14374,x14375,x14372,x14376,x14377,x14378,x14379,x143710))
% 204.32/204.33 [1438]~E(x14381,x14382)+E(f446(x14383,x14384,x14385,x14386,x14381,x14387,x14388,x14389,x143810),f446(x14383,x14384,x14385,x14386,x14382,x14387,x14388,x14389,x143810))
% 204.32/204.33 [1439]~E(x14391,x14392)+E(f446(x14393,x14394,x14395,x14396,x14397,x14391,x14398,x14399,x143910),f446(x14393,x14394,x14395,x14396,x14397,x14392,x14398,x14399,x143910))
% 204.32/204.33 [1440]~E(x14401,x14402)+E(f446(x14403,x14404,x14405,x14406,x14407,x14408,x14401,x14409,x144010),f446(x14403,x14404,x14405,x14406,x14407,x14408,x14402,x14409,x144010))
% 204.32/204.33 [1441]~E(x14411,x14412)+E(f446(x14413,x14414,x14415,x14416,x14417,x14418,x14419,x14411,x144110),f446(x14413,x14414,x14415,x14416,x14417,x14418,x14419,x14412,x144110))
% 204.32/204.33 [1442]~E(x14421,x14422)+E(f446(x14423,x14424,x14425,x14426,x14427,x14428,x14429,x144210,x14421),f446(x14423,x14424,x14425,x14426,x14427,x14428,x14429,x144210,x14422))
% 204.32/204.33 [1443]~E(x14431,x14432)+E(f54(x14431,x14433),f54(x14432,x14433))
% 204.32/204.33 [1444]~E(x14441,x14442)+E(f54(x14443,x14441),f54(x14443,x14442))
% 204.32/204.33 [1445]~E(x14451,x14452)+E(f753(x14451,x14453,x14454,x14455,x14456),f753(x14452,x14453,x14454,x14455,x14456))
% 204.32/204.33 [1446]~E(x14461,x14462)+E(f753(x14463,x14461,x14464,x14465,x14466),f753(x14463,x14462,x14464,x14465,x14466))
% 204.32/204.33 [1447]~E(x14471,x14472)+E(f753(x14473,x14474,x14471,x14475,x14476),f753(x14473,x14474,x14472,x14475,x14476))
% 204.32/204.33 [1448]~E(x14481,x14482)+E(f753(x14483,x14484,x14485,x14481,x14486),f753(x14483,x14484,x14485,x14482,x14486))
% 204.32/204.33 [1449]~E(x14491,x14492)+E(f753(x14493,x14494,x14495,x14496,x14491),f753(x14493,x14494,x14495,x14496,x14492))
% 204.32/204.33 [1450]~E(x14501,x14502)+E(f904(x14501,x14503,x14504,x14505,x14506),f904(x14502,x14503,x14504,x14505,x14506))
% 204.32/204.33 [1451]~E(x14511,x14512)+E(f904(x14513,x14511,x14514,x14515,x14516),f904(x14513,x14512,x14514,x14515,x14516))
% 204.32/204.33 [1452]~E(x14521,x14522)+E(f904(x14523,x14524,x14521,x14525,x14526),f904(x14523,x14524,x14522,x14525,x14526))
% 204.32/204.33 [1453]~E(x14531,x14532)+E(f904(x14533,x14534,x14535,x14531,x14536),f904(x14533,x14534,x14535,x14532,x14536))
% 204.32/204.33 [1454]~E(x14541,x14542)+E(f904(x14543,x14544,x14545,x14546,x14541),f904(x14543,x14544,x14545,x14546,x14542))
% 204.32/204.33 [1455]~E(x14551,x14552)+E(f769(x14551,x14553,x14554),f769(x14552,x14553,x14554))
% 204.32/204.33 [1456]~E(x14561,x14562)+E(f769(x14563,x14561,x14564),f769(x14563,x14562,x14564))
% 204.32/204.33 [1457]~E(x14571,x14572)+E(f769(x14573,x14574,x14571),f769(x14573,x14574,x14572))
% 204.32/204.33 [1458]~E(x14581,x14582)+E(f456(x14581,x14583,x14584,x14585,x14586),f456(x14582,x14583,x14584,x14585,x14586))
% 204.32/204.33 [1459]~E(x14591,x14592)+E(f456(x14593,x14591,x14594,x14595,x14596),f456(x14593,x14592,x14594,x14595,x14596))
% 204.32/204.33 [1460]~E(x14601,x14602)+E(f456(x14603,x14604,x14601,x14605,x14606),f456(x14603,x14604,x14602,x14605,x14606))
% 204.32/204.33 [1461]~E(x14611,x14612)+E(f456(x14613,x14614,x14615,x14611,x14616),f456(x14613,x14614,x14615,x14612,x14616))
% 204.32/204.33 [1462]~E(x14621,x14622)+E(f456(x14623,x14624,x14625,x14626,x14621),f456(x14623,x14624,x14625,x14626,x14622))
% 204.32/204.33 [1463]~E(x14631,x14632)+E(f134(x14631,x14633,x14634,x14635),f134(x14632,x14633,x14634,x14635))
% 204.32/204.33 [1464]~E(x14641,x14642)+E(f134(x14643,x14641,x14644,x14645),f134(x14643,x14642,x14644,x14645))
% 204.32/204.33 [1465]~E(x14651,x14652)+E(f134(x14653,x14654,x14651,x14655),f134(x14653,x14654,x14652,x14655))
% 204.32/204.33 [1466]~E(x14661,x14662)+E(f134(x14663,x14664,x14665,x14661),f134(x14663,x14664,x14665,x14662))
% 204.32/204.33 [1467]~E(x14671,x14672)+E(f526(x14671,x14673),f526(x14672,x14673))
% 204.32/204.33 [1468]~E(x14681,x14682)+E(f526(x14683,x14681),f526(x14683,x14682))
% 204.32/204.33 [1469]~E(x14691,x14692)+E(f673(x14691,x14693,x14694,x14695),f673(x14692,x14693,x14694,x14695))
% 204.32/204.33 [1470]~E(x14701,x14702)+E(f673(x14703,x14701,x14704,x14705),f673(x14703,x14702,x14704,x14705))
% 204.32/204.33 [1471]~E(x14711,x14712)+E(f673(x14713,x14714,x14711,x14715),f673(x14713,x14714,x14712,x14715))
% 204.32/204.33 [1472]~E(x14721,x14722)+E(f673(x14723,x14724,x14725,x14721),f673(x14723,x14724,x14725,x14722))
% 204.32/204.33 [1473]~E(x14731,x14732)+E(f842(x14731,x14733,x14734,x14735),f842(x14732,x14733,x14734,x14735))
% 204.32/204.33 [1474]~E(x14741,x14742)+E(f842(x14743,x14741,x14744,x14745),f842(x14743,x14742,x14744,x14745))
% 204.32/204.33 [1475]~E(x14751,x14752)+E(f842(x14753,x14754,x14751,x14755),f842(x14753,x14754,x14752,x14755))
% 204.32/204.33 [1476]~E(x14761,x14762)+E(f842(x14763,x14764,x14765,x14761),f842(x14763,x14764,x14765,x14762))
% 204.32/204.33 [1477]~E(x14771,x14772)+E(f529(x14771,x14773,x14774,x14775,x14776,x14777,x14778),f529(x14772,x14773,x14774,x14775,x14776,x14777,x14778))
% 204.32/204.33 [1478]~E(x14781,x14782)+E(f529(x14783,x14781,x14784,x14785,x14786,x14787,x14788),f529(x14783,x14782,x14784,x14785,x14786,x14787,x14788))
% 204.32/204.33 [1479]~E(x14791,x14792)+E(f529(x14793,x14794,x14791,x14795,x14796,x14797,x14798),f529(x14793,x14794,x14792,x14795,x14796,x14797,x14798))
% 204.32/204.33 [1480]~E(x14801,x14802)+E(f529(x14803,x14804,x14805,x14801,x14806,x14807,x14808),f529(x14803,x14804,x14805,x14802,x14806,x14807,x14808))
% 204.32/204.33 [1481]~E(x14811,x14812)+E(f529(x14813,x14814,x14815,x14816,x14811,x14817,x14818),f529(x14813,x14814,x14815,x14816,x14812,x14817,x14818))
% 204.32/204.33 [1482]~E(x14821,x14822)+E(f529(x14823,x14824,x14825,x14826,x14827,x14821,x14828),f529(x14823,x14824,x14825,x14826,x14827,x14822,x14828))
% 204.32/204.33 [1483]~E(x14831,x14832)+E(f529(x14833,x14834,x14835,x14836,x14837,x14838,x14831),f529(x14833,x14834,x14835,x14836,x14837,x14838,x14832))
% 204.32/204.33 [1484]~E(x14841,x14842)+E(f810(x14841,x14843),f810(x14842,x14843))
% 204.32/204.33 [1485]~E(x14851,x14852)+E(f810(x14853,x14851),f810(x14853,x14852))
% 204.32/204.33 [1486]~E(x14861,x14862)+E(f695(x14861,x14863,x14864,x14865),f695(x14862,x14863,x14864,x14865))
% 204.32/204.33 [1487]~E(x14871,x14872)+E(f695(x14873,x14871,x14874,x14875),f695(x14873,x14872,x14874,x14875))
% 204.32/204.33 [1488]~E(x14881,x14882)+E(f695(x14883,x14884,x14881,x14885),f695(x14883,x14884,x14882,x14885))
% 204.32/204.33 [1489]~E(x14891,x14892)+E(f695(x14893,x14894,x14895,x14891),f695(x14893,x14894,x14895,x14892))
% 204.32/204.33 [1490]~E(x14901,x14902)+E(f821(x14901,x14903,x14904,x14905,x14906,x14907),f821(x14902,x14903,x14904,x14905,x14906,x14907))
% 204.32/204.33 [1491]~E(x14911,x14912)+E(f821(x14913,x14911,x14914,x14915,x14916,x14917),f821(x14913,x14912,x14914,x14915,x14916,x14917))
% 204.32/204.33 [1492]~E(x14921,x14922)+E(f821(x14923,x14924,x14921,x14925,x14926,x14927),f821(x14923,x14924,x14922,x14925,x14926,x14927))
% 204.32/204.33 [1493]~E(x14931,x14932)+E(f821(x14933,x14934,x14935,x14931,x14936,x14937),f821(x14933,x14934,x14935,x14932,x14936,x14937))
% 204.32/204.33 [1494]~E(x14941,x14942)+E(f821(x14943,x14944,x14945,x14946,x14941,x14947),f821(x14943,x14944,x14945,x14946,x14942,x14947))
% 204.32/204.33 [1495]~E(x14951,x14952)+E(f821(x14953,x14954,x14955,x14956,x14957,x14951),f821(x14953,x14954,x14955,x14956,x14957,x14952))
% 204.32/204.33 [1496]~E(x14961,x14962)+E(f461(x14961),f461(x14962))
% 204.32/204.33 [1497]~E(x14971,x14972)+E(f298(x14971,x14973,x14974),f298(x14972,x14973,x14974))
% 204.32/204.33 [1498]~E(x14981,x14982)+E(f298(x14983,x14981,x14984),f298(x14983,x14982,x14984))
% 204.32/204.33 [1499]~E(x14991,x14992)+E(f298(x14993,x14994,x14991),f298(x14993,x14994,x14992))
% 204.32/204.33 [1500]~E(x15001,x15002)+E(f549(x15001,x15003),f549(x15002,x15003))
% 204.32/204.33 [1501]~E(x15011,x15012)+E(f549(x15013,x15011),f549(x15013,x15012))
% 204.32/204.33 [1502]~E(x15021,x15022)+E(f369(x15021,x15023,x15024),f369(x15022,x15023,x15024))
% 204.32/204.33 [1503]~E(x15031,x15032)+E(f369(x15033,x15031,x15034),f369(x15033,x15032,x15034))
% 204.32/204.33 [1504]~E(x15041,x15042)+E(f369(x15043,x15044,x15041),f369(x15043,x15044,x15042))
% 204.32/204.33 [1505]~E(x15051,x15052)+E(f352(x15051,x15053,x15054,x15055,x15056,x15057),f352(x15052,x15053,x15054,x15055,x15056,x15057))
% 204.32/204.33 [1506]~E(x15061,x15062)+E(f352(x15063,x15061,x15064,x15065,x15066,x15067),f352(x15063,x15062,x15064,x15065,x15066,x15067))
% 204.32/204.33 [1507]~E(x15071,x15072)+E(f352(x15073,x15074,x15071,x15075,x15076,x15077),f352(x15073,x15074,x15072,x15075,x15076,x15077))
% 204.32/204.33 [1508]~E(x15081,x15082)+E(f352(x15083,x15084,x15085,x15081,x15086,x15087),f352(x15083,x15084,x15085,x15082,x15086,x15087))
% 204.32/204.33 [1509]~E(x15091,x15092)+E(f352(x15093,x15094,x15095,x15096,x15091,x15097),f352(x15093,x15094,x15095,x15096,x15092,x15097))
% 204.32/204.33 [1510]~E(x15101,x15102)+E(f352(x15103,x15104,x15105,x15106,x15107,x15101),f352(x15103,x15104,x15105,x15106,x15107,x15102))
% 204.32/204.33 [1511]~E(x15111,x15112)+E(f841(x15111,x15113,x15114,x15115),f841(x15112,x15113,x15114,x15115))
% 204.32/204.33 [1512]~E(x15121,x15122)+E(f841(x15123,x15121,x15124,x15125),f841(x15123,x15122,x15124,x15125))
% 204.32/204.33 [1513]~E(x15131,x15132)+E(f841(x15133,x15134,x15131,x15135),f841(x15133,x15134,x15132,x15135))
% 204.32/204.33 [1514]~E(x15141,x15142)+E(f841(x15143,x15144,x15145,x15141),f841(x15143,x15144,x15145,x15142))
% 204.32/204.33 [1515]~E(x15151,x15152)+E(f730(x15151,x15153,x15154),f730(x15152,x15153,x15154))
% 204.32/204.33 [1516]~E(x15161,x15162)+E(f730(x15163,x15161,x15164),f730(x15163,x15162,x15164))
% 204.32/204.33 [1517]~E(x15171,x15172)+E(f730(x15173,x15174,x15171),f730(x15173,x15174,x15172))
% 204.32/204.33 [1518]~E(x15181,x15182)+E(f859(x15181,x15183,x15184,x15185),f859(x15182,x15183,x15184,x15185))
% 204.32/204.33 [1519]~E(x15191,x15192)+E(f859(x15193,x15191,x15194,x15195),f859(x15193,x15192,x15194,x15195))
% 204.32/204.33 [1520]~E(x15201,x15202)+E(f859(x15203,x15204,x15201,x15205),f859(x15203,x15204,x15202,x15205))
% 204.32/204.33 [1521]~E(x15211,x15212)+E(f859(x15213,x15214,x15215,x15211),f859(x15213,x15214,x15215,x15212))
% 204.32/204.33 [1522]~E(x15221,x15222)+E(f901(x15221,x15223),f901(x15222,x15223))
% 204.32/204.33 [1523]~E(x15231,x15232)+E(f901(x15233,x15231),f901(x15233,x15232))
% 204.32/204.33 [1524]~E(x15241,x15242)+E(f642(x15241,x15243,x15244),f642(x15242,x15243,x15244))
% 204.32/204.33 [1525]~E(x15251,x15252)+E(f642(x15253,x15251,x15254),f642(x15253,x15252,x15254))
% 204.32/204.33 [1526]~E(x15261,x15262)+E(f642(x15263,x15264,x15261),f642(x15263,x15264,x15262))
% 204.32/204.33 [1527]~E(x15271,x15272)+E(f750(x15271,x15273),f750(x15272,x15273))
% 204.32/204.33 [1528]~E(x15281,x15282)+E(f750(x15283,x15281),f750(x15283,x15282))
% 204.32/204.33 [1529]~E(x15291,x15292)+E(f668(x15291,x15293,x15294,x15295),f668(x15292,x15293,x15294,x15295))
% 204.32/204.33 [1530]~E(x15301,x15302)+E(f668(x15303,x15301,x15304,x15305),f668(x15303,x15302,x15304,x15305))
% 204.32/204.33 [1531]~E(x15311,x15312)+E(f668(x15313,x15314,x15311,x15315),f668(x15313,x15314,x15312,x15315))
% 204.32/204.33 [1532]~E(x15321,x15322)+E(f668(x15323,x15324,x15325,x15321),f668(x15323,x15324,x15325,x15322))
% 204.32/204.33 [1533]~E(x15331,x15332)+E(f285(x15331),f285(x15332))
% 204.32/204.33 [1534]~E(x15341,x15342)+E(f893(x15341,x15343,x15344,x15345),f893(x15342,x15343,x15344,x15345))
% 204.32/204.33 [1535]~E(x15351,x15352)+E(f893(x15353,x15351,x15354,x15355),f893(x15353,x15352,x15354,x15355))
% 204.32/204.33 [1536]~E(x15361,x15362)+E(f893(x15363,x15364,x15361,x15365),f893(x15363,x15364,x15362,x15365))
% 204.32/204.33 [1537]~E(x15371,x15372)+E(f893(x15373,x15374,x15375,x15371),f893(x15373,x15374,x15375,x15372))
% 204.32/204.33 [1538]~E(x15381,x15382)+E(f520(x15381),f520(x15382))
% 204.32/204.33 [1539]~E(x15391,x15392)+E(f685(x15391,x15393,x15394,x15395,x15396),f685(x15392,x15393,x15394,x15395,x15396))
% 204.32/204.33 [1540]~E(x15401,x15402)+E(f685(x15403,x15401,x15404,x15405,x15406),f685(x15403,x15402,x15404,x15405,x15406))
% 204.32/204.33 [1541]~E(x15411,x15412)+E(f685(x15413,x15414,x15411,x15415,x15416),f685(x15413,x15414,x15412,x15415,x15416))
% 204.32/204.33 [1542]~E(x15421,x15422)+E(f685(x15423,x15424,x15425,x15421,x15426),f685(x15423,x15424,x15425,x15422,x15426))
% 204.32/204.33 [1543]~E(x15431,x15432)+E(f685(x15433,x15434,x15435,x15436,x15431),f685(x15433,x15434,x15435,x15436,x15432))
% 204.32/204.33 [1544]~E(x15441,x15442)+E(f481(x15441,x15443),f481(x15442,x15443))
% 204.32/204.33 [1545]~E(x15451,x15452)+E(f481(x15453,x15451),f481(x15453,x15452))
% 204.32/204.33 [1546]~E(x15461,x15462)+E(f746(x15461,x15463,x15464),f746(x15462,x15463,x15464))
% 204.32/204.33 [1547]~E(x15471,x15472)+E(f746(x15473,x15471,x15474),f746(x15473,x15472,x15474))
% 204.32/204.33 [1548]~E(x15481,x15482)+E(f746(x15483,x15484,x15481),f746(x15483,x15484,x15482))
% 204.32/204.33 [1549]~E(x15491,x15492)+E(f571(x15491,x15493,x15494,x15495,x15496,x15497,x15498,x15499),f571(x15492,x15493,x15494,x15495,x15496,x15497,x15498,x15499))
% 204.32/204.33 [1550]~E(x15501,x15502)+E(f571(x15503,x15501,x15504,x15505,x15506,x15507,x15508,x15509),f571(x15503,x15502,x15504,x15505,x15506,x15507,x15508,x15509))
% 204.32/204.33 [1551]~E(x15511,x15512)+E(f571(x15513,x15514,x15511,x15515,x15516,x15517,x15518,x15519),f571(x15513,x15514,x15512,x15515,x15516,x15517,x15518,x15519))
% 204.32/204.33 [1552]~E(x15521,x15522)+E(f571(x15523,x15524,x15525,x15521,x15526,x15527,x15528,x15529),f571(x15523,x15524,x15525,x15522,x15526,x15527,x15528,x15529))
% 204.32/204.33 [1553]~E(x15531,x15532)+E(f571(x15533,x15534,x15535,x15536,x15531,x15537,x15538,x15539),f571(x15533,x15534,x15535,x15536,x15532,x15537,x15538,x15539))
% 204.32/204.33 [1554]~E(x15541,x15542)+E(f571(x15543,x15544,x15545,x15546,x15547,x15541,x15548,x15549),f571(x15543,x15544,x15545,x15546,x15547,x15542,x15548,x15549))
% 204.32/204.33 [1555]~E(x15551,x15552)+E(f571(x15553,x15554,x15555,x15556,x15557,x15558,x15551,x15559),f571(x15553,x15554,x15555,x15556,x15557,x15558,x15552,x15559))
% 204.32/204.33 [1556]~E(x15561,x15562)+E(f571(x15563,x15564,x15565,x15566,x15567,x15568,x15569,x15561),f571(x15563,x15564,x15565,x15566,x15567,x15568,x15569,x15562))
% 204.32/204.33 [1557]~E(x15571,x15572)+E(f203(x15571,x15573,x15574,x15575),f203(x15572,x15573,x15574,x15575))
% 204.32/204.33 [1558]~E(x15581,x15582)+E(f203(x15583,x15581,x15584,x15585),f203(x15583,x15582,x15584,x15585))
% 204.32/204.33 [1559]~E(x15591,x15592)+E(f203(x15593,x15594,x15591,x15595),f203(x15593,x15594,x15592,x15595))
% 204.32/204.33 [1560]~E(x15601,x15602)+E(f203(x15603,x15604,x15605,x15601),f203(x15603,x15604,x15605,x15602))
% 204.32/204.33 [1561]~E(x15611,x15612)+E(f698(x15611,x15613,x15614),f698(x15612,x15613,x15614))
% 204.32/204.33 [1562]~E(x15621,x15622)+E(f698(x15623,x15621,x15624),f698(x15623,x15622,x15624))
% 204.32/204.33 [1563]~E(x15631,x15632)+E(f698(x15633,x15634,x15631),f698(x15633,x15634,x15632))
% 204.32/204.33 [1564]~E(x15641,x15642)+E(f784(x15641,x15643,x15644,x15645,x15646,x15647),f784(x15642,x15643,x15644,x15645,x15646,x15647))
% 204.32/204.33 [1565]~E(x15651,x15652)+E(f784(x15653,x15651,x15654,x15655,x15656,x15657),f784(x15653,x15652,x15654,x15655,x15656,x15657))
% 204.32/204.33 [1566]~E(x15661,x15662)+E(f784(x15663,x15664,x15661,x15665,x15666,x15667),f784(x15663,x15664,x15662,x15665,x15666,x15667))
% 204.32/204.33 [1567]~E(x15671,x15672)+E(f784(x15673,x15674,x15675,x15671,x15676,x15677),f784(x15673,x15674,x15675,x15672,x15676,x15677))
% 204.32/204.33 [1568]~E(x15681,x15682)+E(f784(x15683,x15684,x15685,x15686,x15681,x15687),f784(x15683,x15684,x15685,x15686,x15682,x15687))
% 204.32/204.33 [1569]~E(x15691,x15692)+E(f784(x15693,x15694,x15695,x15696,x15697,x15691),f784(x15693,x15694,x15695,x15696,x15697,x15692))
% 204.32/204.33 [1570]~E(x15701,x15702)+E(f708(x15701,x15703,x15704,x15705,x15706),f708(x15702,x15703,x15704,x15705,x15706))
% 204.32/204.33 [1571]~E(x15711,x15712)+E(f708(x15713,x15711,x15714,x15715,x15716),f708(x15713,x15712,x15714,x15715,x15716))
% 204.32/204.33 [1572]~E(x15721,x15722)+E(f708(x15723,x15724,x15721,x15725,x15726),f708(x15723,x15724,x15722,x15725,x15726))
% 204.32/204.33 [1573]~E(x15731,x15732)+E(f708(x15733,x15734,x15735,x15731,x15736),f708(x15733,x15734,x15735,x15732,x15736))
% 204.32/204.33 [1574]~E(x15741,x15742)+E(f708(x15743,x15744,x15745,x15746,x15741),f708(x15743,x15744,x15745,x15746,x15742))
% 204.32/204.33 [1575]~E(x15751,x15752)+E(f512(x15751,x15753,x15754),f512(x15752,x15753,x15754))
% 204.32/204.33 [1576]~E(x15761,x15762)+E(f512(x15763,x15761,x15764),f512(x15763,x15762,x15764))
% 204.32/204.33 [1577]~E(x15771,x15772)+E(f512(x15773,x15774,x15771),f512(x15773,x15774,x15772))
% 204.32/204.33 [1578]~E(x15781,x15782)+E(f480(x15781,x15783),f480(x15782,x15783))
% 204.32/204.33 [1579]~E(x15791,x15792)+E(f480(x15793,x15791),f480(x15793,x15792))
% 204.32/204.33 [1580]~E(x15801,x15802)+E(f568(x15801,x15803,x15804,x15805,x15806),f568(x15802,x15803,x15804,x15805,x15806))
% 204.32/204.33 [1581]~E(x15811,x15812)+E(f568(x15813,x15811,x15814,x15815,x15816),f568(x15813,x15812,x15814,x15815,x15816))
% 204.32/204.33 [1582]~E(x15821,x15822)+E(f568(x15823,x15824,x15821,x15825,x15826),f568(x15823,x15824,x15822,x15825,x15826))
% 204.32/204.33 [1583]~E(x15831,x15832)+E(f568(x15833,x15834,x15835,x15831,x15836),f568(x15833,x15834,x15835,x15832,x15836))
% 204.32/204.33 [1584]~E(x15841,x15842)+E(f568(x15843,x15844,x15845,x15846,x15841),f568(x15843,x15844,x15845,x15846,x15842))
% 204.32/204.33 [1585]~E(x15851,x15852)+E(f852(x15851,x15853,x15854,x15855,x15856,x15857,x15858,x15859),f852(x15852,x15853,x15854,x15855,x15856,x15857,x15858,x15859))
% 204.32/204.33 [1586]~E(x15861,x15862)+E(f852(x15863,x15861,x15864,x15865,x15866,x15867,x15868,x15869),f852(x15863,x15862,x15864,x15865,x15866,x15867,x15868,x15869))
% 204.32/204.33 [1587]~E(x15871,x15872)+E(f852(x15873,x15874,x15871,x15875,x15876,x15877,x15878,x15879),f852(x15873,x15874,x15872,x15875,x15876,x15877,x15878,x15879))
% 204.32/204.33 [1588]~E(x15881,x15882)+E(f852(x15883,x15884,x15885,x15881,x15886,x15887,x15888,x15889),f852(x15883,x15884,x15885,x15882,x15886,x15887,x15888,x15889))
% 204.32/204.33 [1589]~E(x15891,x15892)+E(f852(x15893,x15894,x15895,x15896,x15891,x15897,x15898,x15899),f852(x15893,x15894,x15895,x15896,x15892,x15897,x15898,x15899))
% 204.32/204.33 [1590]~E(x15901,x15902)+E(f852(x15903,x15904,x15905,x15906,x15907,x15901,x15908,x15909),f852(x15903,x15904,x15905,x15906,x15907,x15902,x15908,x15909))
% 204.32/204.33 [1591]~E(x15911,x15912)+E(f852(x15913,x15914,x15915,x15916,x15917,x15918,x15911,x15919),f852(x15913,x15914,x15915,x15916,x15917,x15918,x15912,x15919))
% 204.32/204.33 [1592]~E(x15921,x15922)+E(f852(x15923,x15924,x15925,x15926,x15927,x15928,x15929,x15921),f852(x15923,x15924,x15925,x15926,x15927,x15928,x15929,x15922))
% 204.32/204.33 [1593]~E(x15931,x15932)+E(f447(x15931,x15933,x15934),f447(x15932,x15933,x15934))
% 204.32/204.33 [1594]~E(x15941,x15942)+E(f447(x15943,x15941,x15944),f447(x15943,x15942,x15944))
% 204.32/204.33 [1595]~E(x15951,x15952)+E(f447(x15953,x15954,x15951),f447(x15953,x15954,x15952))
% 204.32/204.33 [1596]~E(x15961,x15962)+E(f378(x15961,x15963,x15964,x15965),f378(x15962,x15963,x15964,x15965))
% 204.32/204.33 [1597]~E(x15971,x15972)+E(f378(x15973,x15971,x15974,x15975),f378(x15973,x15972,x15974,x15975))
% 204.32/204.33 [1598]~E(x15981,x15982)+E(f378(x15983,x15984,x15981,x15985),f378(x15983,x15984,x15982,x15985))
% 204.32/204.33 [1599]~E(x15991,x15992)+E(f378(x15993,x15994,x15995,x15991),f378(x15993,x15994,x15995,x15992))
% 204.32/204.33 [1600]~E(x16001,x16002)+E(f735(x16001,x16003),f735(x16002,x16003))
% 204.32/204.33 [1601]~E(x16011,x16012)+E(f735(x16013,x16011),f735(x16013,x16012))
% 204.32/204.33 [1602]~E(x16021,x16022)+E(f687(x16021,x16023,x16024,x16025,x16026),f687(x16022,x16023,x16024,x16025,x16026))
% 204.32/204.33 [1603]~E(x16031,x16032)+E(f687(x16033,x16031,x16034,x16035,x16036),f687(x16033,x16032,x16034,x16035,x16036))
% 204.32/204.33 [1604]~E(x16041,x16042)+E(f687(x16043,x16044,x16041,x16045,x16046),f687(x16043,x16044,x16042,x16045,x16046))
% 204.32/204.33 [1605]~E(x16051,x16052)+E(f687(x16053,x16054,x16055,x16051,x16056),f687(x16053,x16054,x16055,x16052,x16056))
% 204.32/204.33 [1606]~E(x16061,x16062)+E(f687(x16063,x16064,x16065,x16066,x16061),f687(x16063,x16064,x16065,x16066,x16062))
% 204.32/204.33 [1607]~E(x16071,x16072)+E(f372(x16071),f372(x16072))
% 204.32/204.33 [1608]~E(x16081,x16082)+E(f665(x16081,x16083,x16084,x16085),f665(x16082,x16083,x16084,x16085))
% 204.32/204.33 [1609]~E(x16091,x16092)+E(f665(x16093,x16091,x16094,x16095),f665(x16093,x16092,x16094,x16095))
% 204.32/204.33 [1610]~E(x16101,x16102)+E(f665(x16103,x16104,x16101,x16105),f665(x16103,x16104,x16102,x16105))
% 204.32/204.33 [1611]~E(x16111,x16112)+E(f665(x16113,x16114,x16115,x16111),f665(x16113,x16114,x16115,x16112))
% 204.32/204.33 [1612]~E(x16121,x16122)+E(f41(x16121),f41(x16122))
% 204.32/204.33 [1613]~E(x16131,x16132)+E(f277(x16131,x16133,x16134,x16135),f277(x16132,x16133,x16134,x16135))
% 204.32/204.33 [1614]~E(x16141,x16142)+E(f277(x16143,x16141,x16144,x16145),f277(x16143,x16142,x16144,x16145))
% 204.32/204.33 [1615]~E(x16151,x16152)+E(f277(x16153,x16154,x16151,x16155),f277(x16153,x16154,x16152,x16155))
% 204.32/204.33 [1616]~E(x16161,x16162)+E(f277(x16163,x16164,x16165,x16161),f277(x16163,x16164,x16165,x16162))
% 204.32/204.33 [1617]~E(x16171,x16172)+E(f803(x16171,x16173,x16174,x16175,x16176),f803(x16172,x16173,x16174,x16175,x16176))
% 204.32/204.33 [1618]~E(x16181,x16182)+E(f803(x16183,x16181,x16184,x16185,x16186),f803(x16183,x16182,x16184,x16185,x16186))
% 204.32/204.33 [1619]~E(x16191,x16192)+E(f803(x16193,x16194,x16191,x16195,x16196),f803(x16193,x16194,x16192,x16195,x16196))
% 204.32/204.33 [1620]~E(x16201,x16202)+E(f803(x16203,x16204,x16205,x16201,x16206),f803(x16203,x16204,x16205,x16202,x16206))
% 204.32/204.33 [1621]~E(x16211,x16212)+E(f803(x16213,x16214,x16215,x16216,x16211),f803(x16213,x16214,x16215,x16216,x16212))
% 204.32/204.33 [1622]~E(x16221,x16222)+E(f806(x16221,x16223,x16224,x16225),f806(x16222,x16223,x16224,x16225))
% 204.32/204.33 [1623]~E(x16231,x16232)+E(f806(x16233,x16231,x16234,x16235),f806(x16233,x16232,x16234,x16235))
% 204.32/204.33 [1624]~E(x16241,x16242)+E(f806(x16243,x16244,x16241,x16245),f806(x16243,x16244,x16242,x16245))
% 204.32/204.33 [1625]~E(x16251,x16252)+E(f806(x16253,x16254,x16255,x16251),f806(x16253,x16254,x16255,x16252))
% 204.32/204.33 [1626]~E(x16261,x16262)+E(f828(x16261,x16263),f828(x16262,x16263))
% 204.32/204.33 [1627]~E(x16271,x16272)+E(f828(x16273,x16271),f828(x16273,x16272))
% 204.32/204.33 [1628]~E(x16281,x16282)+E(f778(x16281,x16283,x16284,x16285),f778(x16282,x16283,x16284,x16285))
% 204.32/204.33 [1629]~E(x16291,x16292)+E(f778(x16293,x16291,x16294,x16295),f778(x16293,x16292,x16294,x16295))
% 204.32/204.33 [1630]~E(x16301,x16302)+E(f778(x16303,x16304,x16301,x16305),f778(x16303,x16304,x16302,x16305))
% 204.32/204.33 [1631]~E(x16311,x16312)+E(f778(x16313,x16314,x16315,x16311),f778(x16313,x16314,x16315,x16312))
% 204.32/204.33 [1632]~E(x16321,x16322)+E(f849(x16321,x16323,x16324),f849(x16322,x16323,x16324))
% 204.32/204.33 [1633]~E(x16331,x16332)+E(f849(x16333,x16331,x16334),f849(x16333,x16332,x16334))
% 204.32/204.33 [1634]~E(x16341,x16342)+E(f849(x16343,x16344,x16341),f849(x16343,x16344,x16342))
% 204.32/204.33 [1635]~E(x16351,x16352)+E(f740(x16351,x16353),f740(x16352,x16353))
% 204.32/204.33 [1636]~E(x16361,x16362)+E(f740(x16363,x16361),f740(x16363,x16362))
% 204.32/204.33 [1637]~E(x16371,x16372)+E(f894(x16371,x16373,x16374),f894(x16372,x16373,x16374))
% 204.32/204.33 [1638]~E(x16381,x16382)+E(f894(x16383,x16381,x16384),f894(x16383,x16382,x16384))
% 204.32/204.33 [1639]~E(x16391,x16392)+E(f894(x16393,x16394,x16391),f894(x16393,x16394,x16392))
% 204.32/204.33 [1640]~E(x16401,x16402)+E(f555(x16401,x16403,x16404),f555(x16402,x16403,x16404))
% 204.32/204.33 [1641]~E(x16411,x16412)+E(f555(x16413,x16411,x16414),f555(x16413,x16412,x16414))
% 204.32/204.33 [1642]~E(x16421,x16422)+E(f555(x16423,x16424,x16421),f555(x16423,x16424,x16422))
% 204.32/204.33 [1643]~E(x16431,x16432)+E(f817(x16431),f817(x16432))
% 204.32/204.33 [1644]~E(x16441,x16442)+E(f857(x16441,x16443,x16444,x16445,x16446,x16447,x16448,x16449),f857(x16442,x16443,x16444,x16445,x16446,x16447,x16448,x16449))
% 204.32/204.33 [1645]~E(x16451,x16452)+E(f857(x16453,x16451,x16454,x16455,x16456,x16457,x16458,x16459),f857(x16453,x16452,x16454,x16455,x16456,x16457,x16458,x16459))
% 204.32/204.33 [1646]~E(x16461,x16462)+E(f857(x16463,x16464,x16461,x16465,x16466,x16467,x16468,x16469),f857(x16463,x16464,x16462,x16465,x16466,x16467,x16468,x16469))
% 204.32/204.33 [1647]~E(x16471,x16472)+E(f857(x16473,x16474,x16475,x16471,x16476,x16477,x16478,x16479),f857(x16473,x16474,x16475,x16472,x16476,x16477,x16478,x16479))
% 204.32/204.33 [1648]~E(x16481,x16482)+E(f857(x16483,x16484,x16485,x16486,x16481,x16487,x16488,x16489),f857(x16483,x16484,x16485,x16486,x16482,x16487,x16488,x16489))
% 204.32/204.33 [1649]~E(x16491,x16492)+E(f857(x16493,x16494,x16495,x16496,x16497,x16491,x16498,x16499),f857(x16493,x16494,x16495,x16496,x16497,x16492,x16498,x16499))
% 204.32/204.33 [1650]~E(x16501,x16502)+E(f857(x16503,x16504,x16505,x16506,x16507,x16508,x16501,x16509),f857(x16503,x16504,x16505,x16506,x16507,x16508,x16502,x16509))
% 204.32/204.33 [1651]~E(x16511,x16512)+E(f857(x16513,x16514,x16515,x16516,x16517,x16518,x16519,x16511),f857(x16513,x16514,x16515,x16516,x16517,x16518,x16519,x16512))
% 204.32/204.33 [1652]~E(x16521,x16522)+E(f601(x16521,x16523,x16524),f601(x16522,x16523,x16524))
% 204.32/204.33 [1653]~E(x16531,x16532)+E(f601(x16533,x16531,x16534),f601(x16533,x16532,x16534))
% 204.32/204.33 [1654]~E(x16541,x16542)+E(f601(x16543,x16544,x16541),f601(x16543,x16544,x16542))
% 204.32/204.33 [1655]~E(x16551,x16552)+E(f213(x16551),f213(x16552))
% 204.32/204.33 [1656]~E(x16561,x16562)+E(f74(x16561,x16563),f74(x16562,x16563))
% 204.32/204.33 [1657]~E(x16571,x16572)+E(f74(x16573,x16571),f74(x16573,x16572))
% 204.32/204.33 [1658]~E(x16581,x16582)+E(f759(x16581,x16583,x16584),f759(x16582,x16583,x16584))
% 204.32/204.33 [1659]~E(x16591,x16592)+E(f759(x16593,x16591,x16594),f759(x16593,x16592,x16594))
% 204.32/204.33 [1660]~E(x16601,x16602)+E(f759(x16603,x16604,x16601),f759(x16603,x16604,x16602))
% 204.32/204.33 [1661]~E(x16611,x16612)+E(f278(x16611,x16613,x16614),f278(x16612,x16613,x16614))
% 204.32/204.33 [1662]~E(x16621,x16622)+E(f278(x16623,x16621,x16624),f278(x16623,x16622,x16624))
% 204.32/204.33 [1663]~E(x16631,x16632)+E(f278(x16633,x16634,x16631),f278(x16633,x16634,x16632))
% 204.32/204.33 [1664]~E(x16641,x16642)+E(f316(x16641,x16643),f316(x16642,x16643))
% 204.32/204.33 [1665]~E(x16651,x16652)+E(f316(x16653,x16651),f316(x16653,x16652))
% 204.32/204.33 [1666]~E(x16661,x16662)+E(f432(x16661,x16663,x16664,x16665),f432(x16662,x16663,x16664,x16665))
% 204.32/204.33 [1667]~E(x16671,x16672)+E(f432(x16673,x16671,x16674,x16675),f432(x16673,x16672,x16674,x16675))
% 204.32/204.33 [1668]~E(x16681,x16682)+E(f432(x16683,x16684,x16681,x16685),f432(x16683,x16684,x16682,x16685))
% 204.32/204.33 [1669]~E(x16691,x16692)+E(f432(x16693,x16694,x16695,x16691),f432(x16693,x16694,x16695,x16692))
% 204.32/204.33 [1670]~E(x16701,x16702)+E(f184(x16701),f184(x16702))
% 204.32/204.33 [1671]~E(x16711,x16712)+E(f624(x16711,x16713,x16714),f624(x16712,x16713,x16714))
% 204.32/204.33 [1672]~E(x16721,x16722)+E(f624(x16723,x16721,x16724),f624(x16723,x16722,x16724))
% 204.32/204.33 [1673]~E(x16731,x16732)+E(f624(x16733,x16734,x16731),f624(x16733,x16734,x16732))
% 204.32/204.33 [1674]~E(x16741,x16742)+E(f760(x16741,x16743,x16744,x16745),f760(x16742,x16743,x16744,x16745))
% 204.32/204.33 [1675]~E(x16751,x16752)+E(f760(x16753,x16751,x16754,x16755),f760(x16753,x16752,x16754,x16755))
% 204.32/204.33 [1676]~E(x16761,x16762)+E(f760(x16763,x16764,x16761,x16765),f760(x16763,x16764,x16762,x16765))
% 204.32/204.33 [1677]~E(x16771,x16772)+E(f760(x16773,x16774,x16775,x16771),f760(x16773,x16774,x16775,x16772))
% 204.32/204.33 [1678]~E(x16781,x16782)+E(f59(x16781,x16783,x16784,x16785),f59(x16782,x16783,x16784,x16785))
% 204.32/204.33 [1679]~E(x16791,x16792)+E(f59(x16793,x16791,x16794,x16795),f59(x16793,x16792,x16794,x16795))
% 204.32/204.33 [1680]~E(x16801,x16802)+E(f59(x16803,x16804,x16801,x16805),f59(x16803,x16804,x16802,x16805))
% 204.32/204.33 [1681]~E(x16811,x16812)+E(f59(x16813,x16814,x16815,x16811),f59(x16813,x16814,x16815,x16812))
% 204.32/204.33 [1682]~E(x16821,x16822)+E(f637(x16821,x16823,x16824,x16825,x16826),f637(x16822,x16823,x16824,x16825,x16826))
% 204.32/204.33 [1683]~E(x16831,x16832)+E(f637(x16833,x16831,x16834,x16835,x16836),f637(x16833,x16832,x16834,x16835,x16836))
% 204.32/204.33 [1684]~E(x16841,x16842)+E(f637(x16843,x16844,x16841,x16845,x16846),f637(x16843,x16844,x16842,x16845,x16846))
% 204.32/204.33 [1685]~E(x16851,x16852)+E(f637(x16853,x16854,x16855,x16851,x16856),f637(x16853,x16854,x16855,x16852,x16856))
% 204.32/204.33 [1686]~E(x16861,x16862)+E(f637(x16863,x16864,x16865,x16866,x16861),f637(x16863,x16864,x16865,x16866,x16862))
% 204.32/204.33 [1687]~E(x16871,x16872)+E(f918(x16871,x16873,x16874,x16875),f918(x16872,x16873,x16874,x16875))
% 204.32/204.33 [1688]~E(x16881,x16882)+E(f918(x16883,x16881,x16884,x16885),f918(x16883,x16882,x16884,x16885))
% 204.32/204.33 [1689]~E(x16891,x16892)+E(f918(x16893,x16894,x16891,x16895),f918(x16893,x16894,x16892,x16895))
% 204.32/204.33 [1690]~E(x16901,x16902)+E(f918(x16903,x16904,x16905,x16901),f918(x16903,x16904,x16905,x16902))
% 204.32/204.33 [1691]~E(x16911,x16912)+E(f713(x16911,x16913),f713(x16912,x16913))
% 204.32/204.33 [1692]~E(x16921,x16922)+E(f713(x16923,x16921),f713(x16923,x16922))
% 204.32/204.33 [1693]~E(x16931,x16932)+E(f827(x16931,x16933),f827(x16932,x16933))
% 204.32/204.33 [1694]~E(x16941,x16942)+E(f827(x16943,x16941),f827(x16943,x16942))
% 204.32/204.33 [1695]~E(x16951,x16952)+E(f878(x16951,x16953,x16954,x16955,x16956),f878(x16952,x16953,x16954,x16955,x16956))
% 204.32/204.33 [1696]~E(x16961,x16962)+E(f878(x16963,x16961,x16964,x16965,x16966),f878(x16963,x16962,x16964,x16965,x16966))
% 204.32/204.33 [1697]~E(x16971,x16972)+E(f878(x16973,x16974,x16971,x16975,x16976),f878(x16973,x16974,x16972,x16975,x16976))
% 204.32/204.33 [1698]~E(x16981,x16982)+E(f878(x16983,x16984,x16985,x16981,x16986),f878(x16983,x16984,x16985,x16982,x16986))
% 204.32/204.33 [1699]~E(x16991,x16992)+E(f878(x16993,x16994,x16995,x16996,x16991),f878(x16993,x16994,x16995,x16996,x16992))
% 204.32/204.33 [1700]~E(x17001,x17002)+E(f564(x17001,x17003,x17004,x17005),f564(x17002,x17003,x17004,x17005))
% 204.32/204.33 [1701]~E(x17011,x17012)+E(f564(x17013,x17011,x17014,x17015),f564(x17013,x17012,x17014,x17015))
% 204.32/204.33 [1702]~E(x17021,x17022)+E(f564(x17023,x17024,x17021,x17025),f564(x17023,x17024,x17022,x17025))
% 204.32/204.33 [1703]~E(x17031,x17032)+E(f564(x17033,x17034,x17035,x17031),f564(x17033,x17034,x17035,x17032))
% 204.32/204.33 [1704]~E(x17041,x17042)+E(f887(x17041,x17043,x17044,x17045,x17046,x17047,x17048),f887(x17042,x17043,x17044,x17045,x17046,x17047,x17048))
% 204.32/204.33 [1705]~E(x17051,x17052)+E(f887(x17053,x17051,x17054,x17055,x17056,x17057,x17058),f887(x17053,x17052,x17054,x17055,x17056,x17057,x17058))
% 204.32/204.33 [1706]~E(x17061,x17062)+E(f887(x17063,x17064,x17061,x17065,x17066,x17067,x17068),f887(x17063,x17064,x17062,x17065,x17066,x17067,x17068))
% 204.32/204.33 [1707]~E(x17071,x17072)+E(f887(x17073,x17074,x17075,x17071,x17076,x17077,x17078),f887(x17073,x17074,x17075,x17072,x17076,x17077,x17078))
% 204.32/204.33 [1708]~E(x17081,x17082)+E(f887(x17083,x17084,x17085,x17086,x17081,x17087,x17088),f887(x17083,x17084,x17085,x17086,x17082,x17087,x17088))
% 204.32/204.33 [1709]~E(x17091,x17092)+E(f887(x17093,x17094,x17095,x17096,x17097,x17091,x17098),f887(x17093,x17094,x17095,x17096,x17097,x17092,x17098))
% 204.32/204.33 [1710]~E(x17101,x17102)+E(f887(x17103,x17104,x17105,x17106,x17107,x17108,x17101),f887(x17103,x17104,x17105,x17106,x17107,x17108,x17102))
% 204.32/204.33 [1711]~E(x17111,x17112)+E(f797(x17111,x17113),f797(x17112,x17113))
% 204.32/204.33 [1712]~E(x17121,x17122)+E(f797(x17123,x17121),f797(x17123,x17122))
% 204.32/204.33 [1713]~E(x17131,x17132)+E(f902(x17131,x17133,x17134,x17135,x17136),f902(x17132,x17133,x17134,x17135,x17136))
% 204.32/204.33 [1714]~E(x17141,x17142)+E(f902(x17143,x17141,x17144,x17145,x17146),f902(x17143,x17142,x17144,x17145,x17146))
% 204.32/204.33 [1715]~E(x17151,x17152)+E(f902(x17153,x17154,x17151,x17155,x17156),f902(x17153,x17154,x17152,x17155,x17156))
% 204.32/204.33 [1716]~E(x17161,x17162)+E(f902(x17163,x17164,x17165,x17161,x17166),f902(x17163,x17164,x17165,x17162,x17166))
% 204.32/204.33 [1717]~E(x17171,x17172)+E(f902(x17173,x17174,x17175,x17176,x17171),f902(x17173,x17174,x17175,x17176,x17172))
% 204.32/204.33 [1718]~E(x17181,x17182)+E(f202(x17181,x17183,x17184,x17185),f202(x17182,x17183,x17184,x17185))
% 204.32/204.33 [1719]~E(x17191,x17192)+E(f202(x17193,x17191,x17194,x17195),f202(x17193,x17192,x17194,x17195))
% 204.32/204.33 [1720]~E(x17201,x17202)+E(f202(x17203,x17204,x17201,x17205),f202(x17203,x17204,x17202,x17205))
% 204.32/204.33 [1721]~E(x17211,x17212)+E(f202(x17213,x17214,x17215,x17211),f202(x17213,x17214,x17215,x17212))
% 204.32/204.33 [1722]~E(x17221,x17222)+E(f749(x17221,x17223,x17224,x17225,x17226),f749(x17222,x17223,x17224,x17225,x17226))
% 204.32/204.33 [1723]~E(x17231,x17232)+E(f749(x17233,x17231,x17234,x17235,x17236),f749(x17233,x17232,x17234,x17235,x17236))
% 204.32/204.33 [1724]~E(x17241,x17242)+E(f749(x17243,x17244,x17241,x17245,x17246),f749(x17243,x17244,x17242,x17245,x17246))
% 204.32/204.33 [1725]~E(x17251,x17252)+E(f749(x17253,x17254,x17255,x17251,x17256),f749(x17253,x17254,x17255,x17252,x17256))
% 204.32/204.33 [1726]~E(x17261,x17262)+E(f749(x17263,x17264,x17265,x17266,x17261),f749(x17263,x17264,x17265,x17266,x17262))
% 204.32/204.33 [1727]~E(x17271,x17272)+E(f692(x17271,x17273,x17274),f692(x17272,x17273,x17274))
% 204.32/204.33 [1728]~E(x17281,x17282)+E(f692(x17283,x17281,x17284),f692(x17283,x17282,x17284))
% 204.32/204.33 [1729]~E(x17291,x17292)+E(f692(x17293,x17294,x17291),f692(x17293,x17294,x17292))
% 204.32/204.33 [1730]~E(x17301,x17302)+E(f889(x17301,x17303,x17304,x17305),f889(x17302,x17303,x17304,x17305))
% 204.32/204.33 [1731]~E(x17311,x17312)+E(f889(x17313,x17311,x17314,x17315),f889(x17313,x17312,x17314,x17315))
% 204.32/204.33 [1732]~E(x17321,x17322)+E(f889(x17323,x17324,x17321,x17325),f889(x17323,x17324,x17322,x17325))
% 204.32/204.33 [1733]~E(x17331,x17332)+E(f889(x17333,x17334,x17335,x17331),f889(x17333,x17334,x17335,x17332))
% 204.32/204.33 [1734]~E(x17341,x17342)+E(f489(x17341,x17343,x17344),f489(x17342,x17343,x17344))
% 204.32/204.33 [1735]~E(x17351,x17352)+E(f489(x17353,x17351,x17354),f489(x17353,x17352,x17354))
% 204.32/204.33 [1736]~E(x17361,x17362)+E(f489(x17363,x17364,x17361),f489(x17363,x17364,x17362))
% 204.32/204.33 [1737]~E(x17371,x17372)+E(f717(x17371,x17373),f717(x17372,x17373))
% 204.32/204.33 [1738]~E(x17381,x17382)+E(f717(x17383,x17381),f717(x17383,x17382))
% 204.32/204.33 [1739]~E(x17391,x17392)+E(f801(x17391,x17393),f801(x17392,x17393))
% 204.32/204.33 [1740]~E(x17401,x17402)+E(f801(x17403,x17401),f801(x17403,x17402))
% 204.32/204.33 [1741]~E(x17411,x17412)+E(f380(x17411,x17413,x17414),f380(x17412,x17413,x17414))
% 204.32/204.33 [1742]~E(x17421,x17422)+E(f380(x17423,x17421,x17424),f380(x17423,x17422,x17424))
% 204.32/204.33 [1743]~E(x17431,x17432)+E(f380(x17433,x17434,x17431),f380(x17433,x17434,x17432))
% 204.32/204.33 [1744]~E(x17441,x17442)+E(f358(x17441,x17443,x17444),f358(x17442,x17443,x17444))
% 204.32/204.33 [1745]~E(x17451,x17452)+E(f358(x17453,x17451,x17454),f358(x17453,x17452,x17454))
% 204.32/204.33 [1746]~E(x17461,x17462)+E(f358(x17463,x17464,x17461),f358(x17463,x17464,x17462))
% 204.32/204.33 [1747]~E(x17471,x17472)+E(f785(x17471,x17473,x17474,x17475),f785(x17472,x17473,x17474,x17475))
% 204.32/204.33 [1748]~E(x17481,x17482)+E(f785(x17483,x17481,x17484,x17485),f785(x17483,x17482,x17484,x17485))
% 204.32/204.33 [1749]~E(x17491,x17492)+E(f785(x17493,x17494,x17491,x17495),f785(x17493,x17494,x17492,x17495))
% 204.32/204.33 [1750]~E(x17501,x17502)+E(f785(x17503,x17504,x17505,x17501),f785(x17503,x17504,x17505,x17502))
% 204.32/204.33 [1751]~E(x17511,x17512)+E(f363(x17511,x17513,x17514),f363(x17512,x17513,x17514))
% 204.32/204.33 [1752]~E(x17521,x17522)+E(f363(x17523,x17521,x17524),f363(x17523,x17522,x17524))
% 204.32/204.33 [1753]~E(x17531,x17532)+E(f363(x17533,x17534,x17531),f363(x17533,x17534,x17532))
% 204.32/204.33 [1754]~E(x17541,x17542)+E(f671(x17541,x17543,x17544,x17545,x17546,x17547),f671(x17542,x17543,x17544,x17545,x17546,x17547))
% 204.32/204.33 [1755]~E(x17551,x17552)+E(f671(x17553,x17551,x17554,x17555,x17556,x17557),f671(x17553,x17552,x17554,x17555,x17556,x17557))
% 204.32/204.33 [1756]~E(x17561,x17562)+E(f671(x17563,x17564,x17561,x17565,x17566,x17567),f671(x17563,x17564,x17562,x17565,x17566,x17567))
% 204.32/204.33 [1757]~E(x17571,x17572)+E(f671(x17573,x17574,x17575,x17571,x17576,x17577),f671(x17573,x17574,x17575,x17572,x17576,x17577))
% 204.32/204.33 [1758]~E(x17581,x17582)+E(f671(x17583,x17584,x17585,x17586,x17581,x17587),f671(x17583,x17584,x17585,x17586,x17582,x17587))
% 204.32/204.33 [1759]~E(x17591,x17592)+E(f671(x17593,x17594,x17595,x17596,x17597,x17591),f671(x17593,x17594,x17595,x17596,x17597,x17592))
% 204.32/204.33 [1760]~E(x17601,x17602)+E(f609(x17601,x17603,x17604,x17605),f609(x17602,x17603,x17604,x17605))
% 204.32/204.33 [1761]~E(x17611,x17612)+E(f609(x17613,x17611,x17614,x17615),f609(x17613,x17612,x17614,x17615))
% 204.32/204.33 [1762]~E(x17621,x17622)+E(f609(x17623,x17624,x17621,x17625),f609(x17623,x17624,x17622,x17625))
% 204.32/204.33 [1763]~E(x17631,x17632)+E(f609(x17633,x17634,x17635,x17631),f609(x17633,x17634,x17635,x17632))
% 204.32/204.33 [1764]~E(x17641,x17642)+E(f791(x17641,x17643,x17644,x17645),f791(x17642,x17643,x17644,x17645))
% 204.32/204.33 [1765]~E(x17651,x17652)+E(f791(x17653,x17651,x17654,x17655),f791(x17653,x17652,x17654,x17655))
% 204.32/204.33 [1766]~E(x17661,x17662)+E(f791(x17663,x17664,x17661,x17665),f791(x17663,x17664,x17662,x17665))
% 204.32/204.33 [1767]~E(x17671,x17672)+E(f791(x17673,x17674,x17675,x17671),f791(x17673,x17674,x17675,x17672))
% 204.32/204.33 [1768]~E(x17681,x17682)+E(f714(x17681,x17683),f714(x17682,x17683))
% 204.32/204.33 [1769]~E(x17691,x17692)+E(f714(x17693,x17691),f714(x17693,x17692))
% 204.32/204.33 [1770]~E(x17701,x17702)+E(f569(x17701,x17703,x17704,x17705,x17706,x17707,x17708,x17709),f569(x17702,x17703,x17704,x17705,x17706,x17707,x17708,x17709))
% 204.32/204.33 [1771]~E(x17711,x17712)+E(f569(x17713,x17711,x17714,x17715,x17716,x17717,x17718,x17719),f569(x17713,x17712,x17714,x17715,x17716,x17717,x17718,x17719))
% 204.32/204.33 [1772]~E(x17721,x17722)+E(f569(x17723,x17724,x17721,x17725,x17726,x17727,x17728,x17729),f569(x17723,x17724,x17722,x17725,x17726,x17727,x17728,x17729))
% 204.32/204.33 [1773]~E(x17731,x17732)+E(f569(x17733,x17734,x17735,x17731,x17736,x17737,x17738,x17739),f569(x17733,x17734,x17735,x17732,x17736,x17737,x17738,x17739))
% 204.32/204.33 [1774]~E(x17741,x17742)+E(f569(x17743,x17744,x17745,x17746,x17741,x17747,x17748,x17749),f569(x17743,x17744,x17745,x17746,x17742,x17747,x17748,x17749))
% 204.32/204.33 [1775]~E(x17751,x17752)+E(f569(x17753,x17754,x17755,x17756,x17757,x17751,x17758,x17759),f569(x17753,x17754,x17755,x17756,x17757,x17752,x17758,x17759))
% 204.32/204.33 [1776]~E(x17761,x17762)+E(f569(x17763,x17764,x17765,x17766,x17767,x17768,x17761,x17769),f569(x17763,x17764,x17765,x17766,x17767,x17768,x17762,x17769))
% 204.32/204.33 [1777]~E(x17771,x17772)+E(f569(x17773,x17774,x17775,x17776,x17777,x17778,x17779,x17771),f569(x17773,x17774,x17775,x17776,x17777,x17778,x17779,x17772))
% 204.32/204.33 [1778]~E(x17781,x17782)+E(f579(x17781,x17783,x17784,x17785,x17786,x17787),f579(x17782,x17783,x17784,x17785,x17786,x17787))
% 204.32/204.33 [1779]~E(x17791,x17792)+E(f579(x17793,x17791,x17794,x17795,x17796,x17797),f579(x17793,x17792,x17794,x17795,x17796,x17797))
% 204.32/204.33 [1780]~E(x17801,x17802)+E(f579(x17803,x17804,x17801,x17805,x17806,x17807),f579(x17803,x17804,x17802,x17805,x17806,x17807))
% 204.32/204.33 [1781]~E(x17811,x17812)+E(f579(x17813,x17814,x17815,x17811,x17816,x17817),f579(x17813,x17814,x17815,x17812,x17816,x17817))
% 204.32/204.33 [1782]~E(x17821,x17822)+E(f579(x17823,x17824,x17825,x17826,x17821,x17827),f579(x17823,x17824,x17825,x17826,x17822,x17827))
% 204.32/204.33 [1783]~E(x17831,x17832)+E(f579(x17833,x17834,x17835,x17836,x17837,x17831),f579(x17833,x17834,x17835,x17836,x17837,x17832))
% 204.32/204.33 [1784]~E(x17841,x17842)+E(f362(x17841,x17843,x17844),f362(x17842,x17843,x17844))
% 204.32/204.33 [1785]~E(x17851,x17852)+E(f362(x17853,x17851,x17854),f362(x17853,x17852,x17854))
% 204.32/204.33 [1786]~E(x17861,x17862)+E(f362(x17863,x17864,x17861),f362(x17863,x17864,x17862))
% 204.32/204.33 [1787]~E(x17871,x17872)+E(f595(x17871,x17873,x17874,x17875,x17876,x17877),f595(x17872,x17873,x17874,x17875,x17876,x17877))
% 204.32/204.33 [1788]~E(x17881,x17882)+E(f595(x17883,x17881,x17884,x17885,x17886,x17887),f595(x17883,x17882,x17884,x17885,x17886,x17887))
% 204.32/204.33 [1789]~E(x17891,x17892)+E(f595(x17893,x17894,x17891,x17895,x17896,x17897),f595(x17893,x17894,x17892,x17895,x17896,x17897))
% 204.32/204.33 [1790]~E(x17901,x17902)+E(f595(x17903,x17904,x17905,x17901,x17906,x17907),f595(x17903,x17904,x17905,x17902,x17906,x17907))
% 204.32/204.33 [1791]~E(x17911,x17912)+E(f595(x17913,x17914,x17915,x17916,x17911,x17917),f595(x17913,x17914,x17915,x17916,x17912,x17917))
% 204.32/204.33 [1792]~E(x17921,x17922)+E(f595(x17923,x17924,x17925,x17926,x17927,x17921),f595(x17923,x17924,x17925,x17926,x17927,x17922))
% 204.32/204.33 [1793]~E(x17931,x17932)+E(f613(x17931,x17933,x17934,x17935,x17936,x17937,x17938,x17939),f613(x17932,x17933,x17934,x17935,x17936,x17937,x17938,x17939))
% 204.32/204.33 [1794]~E(x17941,x17942)+E(f613(x17943,x17941,x17944,x17945,x17946,x17947,x17948,x17949),f613(x17943,x17942,x17944,x17945,x17946,x17947,x17948,x17949))
% 204.32/204.33 [1795]~E(x17951,x17952)+E(f613(x17953,x17954,x17951,x17955,x17956,x17957,x17958,x17959),f613(x17953,x17954,x17952,x17955,x17956,x17957,x17958,x17959))
% 204.32/204.33 [1796]~E(x17961,x17962)+E(f613(x17963,x17964,x17965,x17961,x17966,x17967,x17968,x17969),f613(x17963,x17964,x17965,x17962,x17966,x17967,x17968,x17969))
% 204.32/204.33 [1797]~E(x17971,x17972)+E(f613(x17973,x17974,x17975,x17976,x17971,x17977,x17978,x17979),f613(x17973,x17974,x17975,x17976,x17972,x17977,x17978,x17979))
% 204.32/204.33 [1798]~E(x17981,x17982)+E(f613(x17983,x17984,x17985,x17986,x17987,x17981,x17988,x17989),f613(x17983,x17984,x17985,x17986,x17987,x17982,x17988,x17989))
% 204.32/204.33 [1799]~E(x17991,x17992)+E(f613(x17993,x17994,x17995,x17996,x17997,x17998,x17991,x17999),f613(x17993,x17994,x17995,x17996,x17997,x17998,x17992,x17999))
% 204.32/204.33 [1800]~E(x18001,x18002)+E(f613(x18003,x18004,x18005,x18006,x18007,x18008,x18009,x18001),f613(x18003,x18004,x18005,x18006,x18007,x18008,x18009,x18002))
% 204.32/204.33 [1801]~E(x18011,x18012)+E(f442(x18011,x18013,x18014),f442(x18012,x18013,x18014))
% 204.32/204.33 [1802]~E(x18021,x18022)+E(f442(x18023,x18021,x18024),f442(x18023,x18022,x18024))
% 204.32/204.33 [1803]~E(x18031,x18032)+E(f442(x18033,x18034,x18031),f442(x18033,x18034,x18032))
% 204.32/204.33 [1804]~E(x18041,x18042)+E(f726(x18041,x18043,x18044),f726(x18042,x18043,x18044))
% 204.32/204.33 [1805]~E(x18051,x18052)+E(f726(x18053,x18051,x18054),f726(x18053,x18052,x18054))
% 204.32/204.33 [1806]~E(x18061,x18062)+E(f726(x18063,x18064,x18061),f726(x18063,x18064,x18062))
% 204.32/204.33 [1807]~E(x18071,x18072)+E(f567(x18071,x18073,x18074,x18075),f567(x18072,x18073,x18074,x18075))
% 204.32/204.33 [1808]~E(x18081,x18082)+E(f567(x18083,x18081,x18084,x18085),f567(x18083,x18082,x18084,x18085))
% 204.32/204.33 [1809]~E(x18091,x18092)+E(f567(x18093,x18094,x18091,x18095),f567(x18093,x18094,x18092,x18095))
% 204.32/204.33 [1810]~E(x18101,x18102)+E(f567(x18103,x18104,x18105,x18101),f567(x18103,x18104,x18105,x18102))
% 204.32/204.33 [1811]~E(x18111,x18112)+E(f495(x18111,x18113,x18114),f495(x18112,x18113,x18114))
% 204.32/204.33 [1812]~E(x18121,x18122)+E(f495(x18123,x18121,x18124),f495(x18123,x18122,x18124))
% 204.32/204.33 [1813]~E(x18131,x18132)+E(f495(x18133,x18134,x18131),f495(x18133,x18134,x18132))
% 204.32/204.33 [1814]~E(x18141,x18142)+E(f368(x18141,x18143,x18144),f368(x18142,x18143,x18144))
% 204.32/204.33 [1815]~E(x18151,x18152)+E(f368(x18153,x18151,x18154),f368(x18153,x18152,x18154))
% 204.32/204.33 [1816]~E(x18161,x18162)+E(f368(x18163,x18164,x18161),f368(x18163,x18164,x18162))
% 204.32/204.33 [1817]~E(x18171,x18172)+E(f264(x18171,x18173,x18174,x18175,x18176),f264(x18172,x18173,x18174,x18175,x18176))
% 204.32/204.33 [1818]~E(x18181,x18182)+E(f264(x18183,x18181,x18184,x18185,x18186),f264(x18183,x18182,x18184,x18185,x18186))
% 204.32/204.33 [1819]~E(x18191,x18192)+E(f264(x18193,x18194,x18191,x18195,x18196),f264(x18193,x18194,x18192,x18195,x18196))
% 204.32/204.33 [1820]~E(x18201,x18202)+E(f264(x18203,x18204,x18205,x18201,x18206),f264(x18203,x18204,x18205,x18202,x18206))
% 204.32/204.33 [1821]~E(x18211,x18212)+E(f264(x18213,x18214,x18215,x18216,x18211),f264(x18213,x18214,x18215,x18216,x18212))
% 204.32/204.33 [1822]~E(x18221,x18222)+E(f622(x18221,x18223,x18224),f622(x18222,x18223,x18224))
% 204.32/204.33 [1823]~E(x18231,x18232)+E(f622(x18233,x18231,x18234),f622(x18233,x18232,x18234))
% 204.32/204.33 [1824]~E(x18241,x18242)+E(f622(x18243,x18244,x18241),f622(x18243,x18244,x18242))
% 204.32/204.33 [1825]~E(x18251,x18252)+E(f670(x18251,x18253),f670(x18252,x18253))
% 204.32/204.33 [1826]~E(x18261,x18262)+E(f670(x18263,x18261),f670(x18263,x18262))
% 204.32/204.33 [1827]~E(x18271,x18272)+E(f543(x18271,x18273,x18274,x18275,x18276,x18277,x18278,x18279),f543(x18272,x18273,x18274,x18275,x18276,x18277,x18278,x18279))
% 204.32/204.33 [1828]~E(x18281,x18282)+E(f543(x18283,x18281,x18284,x18285,x18286,x18287,x18288,x18289),f543(x18283,x18282,x18284,x18285,x18286,x18287,x18288,x18289))
% 204.32/204.33 [1829]~E(x18291,x18292)+E(f543(x18293,x18294,x18291,x18295,x18296,x18297,x18298,x18299),f543(x18293,x18294,x18292,x18295,x18296,x18297,x18298,x18299))
% 204.32/204.33 [1830]~E(x18301,x18302)+E(f543(x18303,x18304,x18305,x18301,x18306,x18307,x18308,x18309),f543(x18303,x18304,x18305,x18302,x18306,x18307,x18308,x18309))
% 204.32/204.33 [1831]~E(x18311,x18312)+E(f543(x18313,x18314,x18315,x18316,x18311,x18317,x18318,x18319),f543(x18313,x18314,x18315,x18316,x18312,x18317,x18318,x18319))
% 204.32/204.33 [1832]~E(x18321,x18322)+E(f543(x18323,x18324,x18325,x18326,x18327,x18321,x18328,x18329),f543(x18323,x18324,x18325,x18326,x18327,x18322,x18328,x18329))
% 204.32/204.33 [1833]~E(x18331,x18332)+E(f543(x18333,x18334,x18335,x18336,x18337,x18338,x18331,x18339),f543(x18333,x18334,x18335,x18336,x18337,x18338,x18332,x18339))
% 204.32/204.33 [1834]~E(x18341,x18342)+E(f543(x18343,x18344,x18345,x18346,x18347,x18348,x18349,x18341),f543(x18343,x18344,x18345,x18346,x18347,x18348,x18349,x18342))
% 204.32/204.33 [1835]~E(x18351,x18352)+E(f903(x18351,x18353,x18354,x18355,x18356,x18357,x18358),f903(x18352,x18353,x18354,x18355,x18356,x18357,x18358))
% 204.32/204.33 [1836]~E(x18361,x18362)+E(f903(x18363,x18361,x18364,x18365,x18366,x18367,x18368),f903(x18363,x18362,x18364,x18365,x18366,x18367,x18368))
% 204.32/204.33 [1837]~E(x18371,x18372)+E(f903(x18373,x18374,x18371,x18375,x18376,x18377,x18378),f903(x18373,x18374,x18372,x18375,x18376,x18377,x18378))
% 204.32/204.33 [1838]~E(x18381,x18382)+E(f903(x18383,x18384,x18385,x18381,x18386,x18387,x18388),f903(x18383,x18384,x18385,x18382,x18386,x18387,x18388))
% 204.32/204.33 [1839]~E(x18391,x18392)+E(f903(x18393,x18394,x18395,x18396,x18391,x18397,x18398),f903(x18393,x18394,x18395,x18396,x18392,x18397,x18398))
% 204.32/204.33 [1840]~E(x18401,x18402)+E(f903(x18403,x18404,x18405,x18406,x18407,x18401,x18408),f903(x18403,x18404,x18405,x18406,x18407,x18402,x18408))
% 204.32/204.33 [1841]~E(x18411,x18412)+E(f903(x18413,x18414,x18415,x18416,x18417,x18418,x18411),f903(x18413,x18414,x18415,x18416,x18417,x18418,x18412))
% 204.32/204.33 [1842]~E(x18421,x18422)+E(f891(x18421,x18423,x18424,x18425,x18426),f891(x18422,x18423,x18424,x18425,x18426))
% 204.32/204.33 [1843]~E(x18431,x18432)+E(f891(x18433,x18431,x18434,x18435,x18436),f891(x18433,x18432,x18434,x18435,x18436))
% 204.32/204.33 [1844]~E(x18441,x18442)+E(f891(x18443,x18444,x18441,x18445,x18446),f891(x18443,x18444,x18442,x18445,x18446))
% 204.32/204.33 [1845]~E(x18451,x18452)+E(f891(x18453,x18454,x18455,x18451,x18456),f891(x18453,x18454,x18455,x18452,x18456))
% 204.32/204.33 [1846]~E(x18461,x18462)+E(f891(x18463,x18464,x18465,x18466,x18461),f891(x18463,x18464,x18465,x18466,x18462))
% 204.32/204.33 [1847]~E(x18471,x18472)+E(f444(x18471,x18473,x18474),f444(x18472,x18473,x18474))
% 204.32/204.33 [1848]~E(x18481,x18482)+E(f444(x18483,x18481,x18484),f444(x18483,x18482,x18484))
% 204.32/204.33 [1849]~E(x18491,x18492)+E(f444(x18493,x18494,x18491),f444(x18493,x18494,x18492))
% 204.32/204.33 [1850]~E(x18501,x18502)+E(f340(x18501,x18503),f340(x18502,x18503))
% 204.32/204.33 [1851]~E(x18511,x18512)+E(f340(x18513,x18511),f340(x18513,x18512))
% 204.32/204.33 [1852]~E(x18521,x18522)+E(f588(x18521,x18523),f588(x18522,x18523))
% 204.32/204.33 [1853]~E(x18531,x18532)+E(f588(x18533,x18531),f588(x18533,x18532))
% 204.32/204.33 [1854]~E(x18541,x18542)+E(f850(x18541,x18543,x18544,x18545,x18546,x18547),f850(x18542,x18543,x18544,x18545,x18546,x18547))
% 204.32/204.33 [1855]~E(x18551,x18552)+E(f850(x18553,x18551,x18554,x18555,x18556,x18557),f850(x18553,x18552,x18554,x18555,x18556,x18557))
% 204.32/204.33 [1856]~E(x18561,x18562)+E(f850(x18563,x18564,x18561,x18565,x18566,x18567),f850(x18563,x18564,x18562,x18565,x18566,x18567))
% 204.32/204.33 [1857]~E(x18571,x18572)+E(f850(x18573,x18574,x18575,x18571,x18576,x18577),f850(x18573,x18574,x18575,x18572,x18576,x18577))
% 204.32/204.33 [1858]~E(x18581,x18582)+E(f850(x18583,x18584,x18585,x18586,x18581,x18587),f850(x18583,x18584,x18585,x18586,x18582,x18587))
% 204.32/204.33 [1859]~E(x18591,x18592)+E(f850(x18593,x18594,x18595,x18596,x18597,x18591),f850(x18593,x18594,x18595,x18596,x18597,x18592))
% 204.32/204.33 [1860]~E(x18601,x18602)+E(f391(x18601,x18603),f391(x18602,x18603))
% 204.32/204.33 [1861]~E(x18611,x18612)+E(f391(x18613,x18611),f391(x18613,x18612))
% 204.32/204.33 [1862]~E(x18621,x18622)+E(f805(x18621,x18623,x18624),f805(x18622,x18623,x18624))
% 204.32/204.33 [1863]~E(x18631,x18632)+E(f805(x18633,x18631,x18634),f805(x18633,x18632,x18634))
% 204.32/204.33 [1864]~E(x18641,x18642)+E(f805(x18643,x18644,x18641),f805(x18643,x18644,x18642))
% 204.32/204.33 [1865]~E(x18651,x18652)+E(f443(x18651,x18653,x18654),f443(x18652,x18653,x18654))
% 204.32/204.33 [1866]~E(x18661,x18662)+E(f443(x18663,x18661,x18664),f443(x18663,x18662,x18664))
% 204.32/204.33 [1867]~E(x18671,x18672)+E(f443(x18673,x18674,x18671),f443(x18673,x18674,x18672))
% 204.32/204.33 [1868]~E(x18681,x18682)+E(f407(x18681,x18683,x18684,x18685),f407(x18682,x18683,x18684,x18685))
% 204.32/204.33 [1869]~E(x18691,x18692)+E(f407(x18693,x18691,x18694,x18695),f407(x18693,x18692,x18694,x18695))
% 204.32/204.33 [1870]~E(x18701,x18702)+E(f407(x18703,x18704,x18701,x18705),f407(x18703,x18704,x18702,x18705))
% 204.32/204.33 [1871]~E(x18711,x18712)+E(f407(x18713,x18714,x18715,x18711),f407(x18713,x18714,x18715,x18712))
% 204.32/204.33 [1872]~E(x18721,x18722)+E(f427(x18721,x18723),f427(x18722,x18723))
% 204.32/204.33 [1873]~E(x18731,x18732)+E(f427(x18733,x18731),f427(x18733,x18732))
% 204.32/204.33 [1874]~E(x18741,x18742)+E(f699(x18741,x18743,x18744),f699(x18742,x18743,x18744))
% 204.32/204.33 [1875]~E(x18751,x18752)+E(f699(x18753,x18751,x18754),f699(x18753,x18752,x18754))
% 204.32/204.33 [1876]~E(x18761,x18762)+E(f699(x18763,x18764,x18761),f699(x18763,x18764,x18762))
% 204.32/204.33 [1877]~E(x18771,x18772)+E(f445(x18771,x18773,x18774),f445(x18772,x18773,x18774))
% 204.32/204.33 [1878]~E(x18781,x18782)+E(f445(x18783,x18781,x18784),f445(x18783,x18782,x18784))
% 204.32/204.33 [1879]~E(x18791,x18792)+E(f445(x18793,x18794,x18791),f445(x18793,x18794,x18792))
% 204.32/204.33 [1880]~E(x18801,x18802)+E(f631(x18801,x18803,x18804,x18805,x18806),f631(x18802,x18803,x18804,x18805,x18806))
% 204.32/204.33 [1881]~E(x18811,x18812)+E(f631(x18813,x18811,x18814,x18815,x18816),f631(x18813,x18812,x18814,x18815,x18816))
% 204.32/204.33 [1882]~E(x18821,x18822)+E(f631(x18823,x18824,x18821,x18825,x18826),f631(x18823,x18824,x18822,x18825,x18826))
% 204.32/204.33 [1883]~E(x18831,x18832)+E(f631(x18833,x18834,x18835,x18831,x18836),f631(x18833,x18834,x18835,x18832,x18836))
% 204.32/204.33 [1884]~E(x18841,x18842)+E(f631(x18843,x18844,x18845,x18846,x18841),f631(x18843,x18844,x18845,x18846,x18842))
% 204.32/204.33 [1885]~E(x18851,x18852)+E(f231(x18851,x18853,x18854,x18855,x18856),f231(x18852,x18853,x18854,x18855,x18856))
% 204.32/204.33 [1886]~E(x18861,x18862)+E(f231(x18863,x18861,x18864,x18865,x18866),f231(x18863,x18862,x18864,x18865,x18866))
% 204.32/204.33 [1887]~E(x18871,x18872)+E(f231(x18873,x18874,x18871,x18875,x18876),f231(x18873,x18874,x18872,x18875,x18876))
% 204.32/204.33 [1888]~E(x18881,x18882)+E(f231(x18883,x18884,x18885,x18881,x18886),f231(x18883,x18884,x18885,x18882,x18886))
% 204.32/204.33 [1889]~E(x18891,x18892)+E(f231(x18893,x18894,x18895,x18896,x18891),f231(x18893,x18894,x18895,x18896,x18892))
% 204.32/204.33 [1890]~E(x18901,x18902)+E(f626(x18901,x18903,x18904),f626(x18902,x18903,x18904))
% 204.32/204.33 [1891]~E(x18911,x18912)+E(f626(x18913,x18911,x18914),f626(x18913,x18912,x18914))
% 204.32/204.33 [1892]~E(x18921,x18922)+E(f626(x18923,x18924,x18921),f626(x18923,x18924,x18922))
% 204.32/204.33 [1893]~E(x18931,x18932)+E(f583(x18931,x18933),f583(x18932,x18933))
% 204.32/204.33 [1894]~E(x18941,x18942)+E(f583(x18943,x18941),f583(x18943,x18942))
% 204.32/204.33 [1895]~E(x18951,x18952)+E(f693(x18951,x18953,x18954),f693(x18952,x18953,x18954))
% 204.32/204.33 [1896]~E(x18961,x18962)+E(f693(x18963,x18961,x18964),f693(x18963,x18962,x18964))
% 204.32/204.33 [1897]~E(x18971,x18972)+E(f693(x18973,x18974,x18971),f693(x18973,x18974,x18972))
% 204.32/204.33 [1898]~E(x18981,x18982)+E(f375(x18981),f375(x18982))
% 204.32/204.33 [1899]~E(x18991,x18992)+E(f349(x18991,x18993),f349(x18992,x18993))
% 204.32/204.33 [1900]~E(x19001,x19002)+E(f349(x19003,x19001),f349(x19003,x19002))
% 204.32/204.33 [1901]~E(x19011,x19012)+E(f230(x19011,x19013,x19014,x19015,x19016),f230(x19012,x19013,x19014,x19015,x19016))
% 204.32/204.33 [1902]~E(x19021,x19022)+E(f230(x19023,x19021,x19024,x19025,x19026),f230(x19023,x19022,x19024,x19025,x19026))
% 204.32/204.33 [1903]~E(x19031,x19032)+E(f230(x19033,x19034,x19031,x19035,x19036),f230(x19033,x19034,x19032,x19035,x19036))
% 204.32/204.33 [1904]~E(x19041,x19042)+E(f230(x19043,x19044,x19045,x19041,x19046),f230(x19043,x19044,x19045,x19042,x19046))
% 204.32/204.33 [1905]~E(x19051,x19052)+E(f230(x19053,x19054,x19055,x19056,x19051),f230(x19053,x19054,x19055,x19056,x19052))
% 204.32/204.33 [1906]~E(x19061,x19062)+E(f95(x19061,x19063,x19064,x19065),f95(x19062,x19063,x19064,x19065))
% 204.32/204.33 [1907]~E(x19071,x19072)+E(f95(x19073,x19071,x19074,x19075),f95(x19073,x19072,x19074,x19075))
% 204.32/204.33 [1908]~E(x19081,x19082)+E(f95(x19083,x19084,x19081,x19085),f95(x19083,x19084,x19082,x19085))
% 204.32/204.33 [1909]~E(x19091,x19092)+E(f95(x19093,x19094,x19095,x19091),f95(x19093,x19094,x19095,x19092))
% 204.32/204.33 [1910]~E(x19101,x19102)+E(f892(x19101,x19103,x19104,x19105,x19106),f892(x19102,x19103,x19104,x19105,x19106))
% 204.32/204.33 [1911]~E(x19111,x19112)+E(f892(x19113,x19111,x19114,x19115,x19116),f892(x19113,x19112,x19114,x19115,x19116))
% 204.32/204.33 [1912]~E(x19121,x19122)+E(f892(x19123,x19124,x19121,x19125,x19126),f892(x19123,x19124,x19122,x19125,x19126))
% 204.32/204.33 [1913]~E(x19131,x19132)+E(f892(x19133,x19134,x19135,x19131,x19136),f892(x19133,x19134,x19135,x19132,x19136))
% 204.32/204.33 [1914]~E(x19141,x19142)+E(f892(x19143,x19144,x19145,x19146,x19141),f892(x19143,x19144,x19145,x19146,x19142))
% 204.32/204.33 [1915]~E(x19151,x19152)+E(f400(x19151,x19153),f400(x19152,x19153))
% 204.32/204.33 [1916]~E(x19161,x19162)+E(f400(x19163,x19161),f400(x19163,x19162))
% 204.32/204.33 [1917]~E(x19171,x19172)+E(f716(x19171,x19173),f716(x19172,x19173))
% 204.32/204.33 [1918]~E(x19181,x19182)+E(f716(x19183,x19181),f716(x19183,x19182))
% 204.32/204.33 [1919]~E(x19191,x19192)+E(f818(x19191,x19193,x19194),f818(x19192,x19193,x19194))
% 204.32/204.33 [1920]~E(x19201,x19202)+E(f818(x19203,x19201,x19204),f818(x19203,x19202,x19204))
% 204.32/204.33 [1921]~E(x19211,x19212)+E(f818(x19213,x19214,x19211),f818(x19213,x19214,x19212))
% 204.32/204.33 [1922]~E(x19221,x19222)+E(f518(x19221,x19223,x19224),f518(x19222,x19223,x19224))
% 204.32/204.33 [1923]~E(x19231,x19232)+E(f518(x19233,x19231,x19234),f518(x19233,x19232,x19234))
% 204.32/204.33 [1924]~E(x19241,x19242)+E(f518(x19243,x19244,x19241),f518(x19243,x19244,x19242))
% 204.32/204.33 [1925]~E(x19251,x19252)+E(f229(x19251,x19253,x19254,x19255,x19256),f229(x19252,x19253,x19254,x19255,x19256))
% 204.32/204.33 [1926]~E(x19261,x19262)+E(f229(x19263,x19261,x19264,x19265,x19266),f229(x19263,x19262,x19264,x19265,x19266))
% 204.32/204.33 [1927]~E(x19271,x19272)+E(f229(x19273,x19274,x19271,x19275,x19276),f229(x19273,x19274,x19272,x19275,x19276))
% 204.32/204.33 [1928]~E(x19281,x19282)+E(f229(x19283,x19284,x19285,x19281,x19286),f229(x19283,x19284,x19285,x19282,x19286))
% 204.32/204.33 [1929]~E(x19291,x19292)+E(f229(x19293,x19294,x19295,x19296,x19291),f229(x19293,x19294,x19295,x19296,x19292))
% 204.32/204.33 [1930]~E(x19301,x19302)+E(f454(x19301,x19303,x19304),f454(x19302,x19303,x19304))
% 204.32/204.33 [1931]~E(x19311,x19312)+E(f454(x19313,x19311,x19314),f454(x19313,x19312,x19314))
% 204.32/204.33 [1932]~E(x19321,x19322)+E(f454(x19323,x19324,x19321),f454(x19323,x19324,x19322))
% 204.32/204.33 [1933]~E(x19331,x19332)+E(f206(x19331),f206(x19332))
% 204.32/204.33 [1934]~E(x19341,x19342)+E(f830(x19341,x19343,x19344),f830(x19342,x19343,x19344))
% 204.32/204.33 [1935]~E(x19351,x19352)+E(f830(x19353,x19351,x19354),f830(x19353,x19352,x19354))
% 204.32/204.33 [1936]~E(x19361,x19362)+E(f830(x19363,x19364,x19361),f830(x19363,x19364,x19362))
% 204.32/204.33 [1937]~E(x19371,x19372)+E(f914(x19371,x19373,x19374),f914(x19372,x19373,x19374))
% 204.32/204.33 [1938]~E(x19381,x19382)+E(f914(x19383,x19381,x19384),f914(x19383,x19382,x19384))
% 204.32/204.33 [1939]~E(x19391,x19392)+E(f914(x19393,x19394,x19391),f914(x19393,x19394,x19392))
% 204.32/204.33 [1940]~E(x19401,x19402)+E(f823(x19401,x19403,x19404,x19405,x19406,x19407),f823(x19402,x19403,x19404,x19405,x19406,x19407))
% 204.32/204.33 [1941]~E(x19411,x19412)+E(f823(x19413,x19411,x19414,x19415,x19416,x19417),f823(x19413,x19412,x19414,x19415,x19416,x19417))
% 204.32/204.33 [1942]~E(x19421,x19422)+E(f823(x19423,x19424,x19421,x19425,x19426,x19427),f823(x19423,x19424,x19422,x19425,x19426,x19427))
% 204.32/204.33 [1943]~E(x19431,x19432)+E(f823(x19433,x19434,x19435,x19431,x19436,x19437),f823(x19433,x19434,x19435,x19432,x19436,x19437))
% 204.32/204.33 [1944]~E(x19441,x19442)+E(f823(x19443,x19444,x19445,x19446,x19441,x19447),f823(x19443,x19444,x19445,x19446,x19442,x19447))
% 204.32/204.33 [1945]~E(x19451,x19452)+E(f823(x19453,x19454,x19455,x19456,x19457,x19451),f823(x19453,x19454,x19455,x19456,x19457,x19452))
% 204.32/204.33 [1946]~E(x19461,x19462)+E(f207(x19461,x19463),f207(x19462,x19463))
% 204.32/204.33 [1947]~E(x19471,x19472)+E(f207(x19473,x19471),f207(x19473,x19472))
% 204.32/204.33 [1948]~E(x19481,x19482)+E(f561(x19481,x19483,x19484,x19485,x19486,x19487),f561(x19482,x19483,x19484,x19485,x19486,x19487))
% 204.32/204.33 [1949]~E(x19491,x19492)+E(f561(x19493,x19491,x19494,x19495,x19496,x19497),f561(x19493,x19492,x19494,x19495,x19496,x19497))
% 204.32/204.33 [1950]~E(x19501,x19502)+E(f561(x19503,x19504,x19501,x19505,x19506,x19507),f561(x19503,x19504,x19502,x19505,x19506,x19507))
% 204.32/204.33 [1951]~E(x19511,x19512)+E(f561(x19513,x19514,x19515,x19511,x19516,x19517),f561(x19513,x19514,x19515,x19512,x19516,x19517))
% 204.32/204.33 [1952]~E(x19521,x19522)+E(f561(x19523,x19524,x19525,x19526,x19521,x19527),f561(x19523,x19524,x19525,x19526,x19522,x19527))
% 204.32/204.33 [1953]~E(x19531,x19532)+E(f561(x19533,x19534,x19535,x19536,x19537,x19531),f561(x19533,x19534,x19535,x19536,x19537,x19532))
% 204.32/204.33 [1954]~E(x19541,x19542)+E(f121(x19541,x19543,x19544),f121(x19542,x19543,x19544))
% 204.32/204.33 [1955]~E(x19551,x19552)+E(f121(x19553,x19551,x19554),f121(x19553,x19552,x19554))
% 204.32/204.33 [1956]~E(x19561,x19562)+E(f121(x19563,x19564,x19561),f121(x19563,x19564,x19562))
% 204.32/204.33 [1957]~E(x19571,x19572)+E(f596(x19571,x19573,x19574,x19575,x19576,x19577),f596(x19572,x19573,x19574,x19575,x19576,x19577))
% 204.32/204.33 [1958]~E(x19581,x19582)+E(f596(x19583,x19581,x19584,x19585,x19586,x19587),f596(x19583,x19582,x19584,x19585,x19586,x19587))
% 204.32/204.33 [1959]~E(x19591,x19592)+E(f596(x19593,x19594,x19591,x19595,x19596,x19597),f596(x19593,x19594,x19592,x19595,x19596,x19597))
% 204.32/204.33 [1960]~E(x19601,x19602)+E(f596(x19603,x19604,x19605,x19601,x19606,x19607),f596(x19603,x19604,x19605,x19602,x19606,x19607))
% 204.32/204.33 [1961]~E(x19611,x19612)+E(f596(x19613,x19614,x19615,x19616,x19611,x19617),f596(x19613,x19614,x19615,x19616,x19612,x19617))
% 204.32/204.33 [1962]~E(x19621,x19622)+E(f596(x19623,x19624,x19625,x19626,x19627,x19621),f596(x19623,x19624,x19625,x19626,x19627,x19622))
% 204.32/204.33 [1963]~E(x19631,x19632)+E(f17(x19631,x19633,x19634,x19635),f17(x19632,x19633,x19634,x19635))
% 204.32/204.33 [1964]~E(x19641,x19642)+E(f17(x19643,x19641,x19644,x19645),f17(x19643,x19642,x19644,x19645))
% 204.32/204.33 [1965]~E(x19651,x19652)+E(f17(x19653,x19654,x19651,x19655),f17(x19653,x19654,x19652,x19655))
% 204.32/204.33 [1966]~E(x19661,x19662)+E(f17(x19663,x19664,x19665,x19661),f17(x19663,x19664,x19665,x19662))
% 204.32/204.33 [1967]~E(x19671,x19672)+E(f214(x19671,x19673,x19674,x19675),f214(x19672,x19673,x19674,x19675))
% 204.32/204.33 [1968]~E(x19681,x19682)+E(f214(x19683,x19681,x19684,x19685),f214(x19683,x19682,x19684,x19685))
% 204.32/204.33 [1969]~E(x19691,x19692)+E(f214(x19693,x19694,x19691,x19695),f214(x19693,x19694,x19692,x19695))
% 204.32/204.33 [1970]~E(x19701,x19702)+E(f214(x19703,x19704,x19705,x19701),f214(x19703,x19704,x19705,x19702))
% 204.32/204.33 [1971]~E(x19711,x19712)+E(f127(x19711),f127(x19712))
% 204.32/204.33 [1972]~E(x19721,x19722)+E(f824(x19721,x19723,x19724,x19725,x19726,x19727,x19728),f824(x19722,x19723,x19724,x19725,x19726,x19727,x19728))
% 204.32/204.33 [1973]~E(x19731,x19732)+E(f824(x19733,x19731,x19734,x19735,x19736,x19737,x19738),f824(x19733,x19732,x19734,x19735,x19736,x19737,x19738))
% 204.32/204.33 [1974]~E(x19741,x19742)+E(f824(x19743,x19744,x19741,x19745,x19746,x19747,x19748),f824(x19743,x19744,x19742,x19745,x19746,x19747,x19748))
% 204.32/204.33 [1975]~E(x19751,x19752)+E(f824(x19753,x19754,x19755,x19751,x19756,x19757,x19758),f824(x19753,x19754,x19755,x19752,x19756,x19757,x19758))
% 204.32/204.33 [1976]~E(x19761,x19762)+E(f824(x19763,x19764,x19765,x19766,x19761,x19767,x19768),f824(x19763,x19764,x19765,x19766,x19762,x19767,x19768))
% 204.32/204.33 [1977]~E(x19771,x19772)+E(f824(x19773,x19774,x19775,x19776,x19777,x19771,x19778),f824(x19773,x19774,x19775,x19776,x19777,x19772,x19778))
% 204.32/204.33 [1978]~E(x19781,x19782)+E(f824(x19783,x19784,x19785,x19786,x19787,x19788,x19781),f824(x19783,x19784,x19785,x19786,x19787,x19788,x19782))
% 204.32/204.33 [1979]~E(x19791,x19792)+E(f364(x19791,x19793,x19794),f364(x19792,x19793,x19794))
% 204.32/204.33 [1980]~E(x19801,x19802)+E(f364(x19803,x19801,x19804),f364(x19803,x19802,x19804))
% 204.32/204.33 [1981]~E(x19811,x19812)+E(f364(x19813,x19814,x19811),f364(x19813,x19814,x19812))
% 204.32/204.33 [1982]~E(x19821,x19822)+E(f410(x19821,x19823,x19824,x19825),f410(x19822,x19823,x19824,x19825))
% 204.32/204.33 [1983]~E(x19831,x19832)+E(f410(x19833,x19831,x19834,x19835),f410(x19833,x19832,x19834,x19835))
% 204.32/204.33 [1984]~E(x19841,x19842)+E(f410(x19843,x19844,x19841,x19845),f410(x19843,x19844,x19842,x19845))
% 204.32/204.33 [1985]~E(x19851,x19852)+E(f410(x19853,x19854,x19855,x19851),f410(x19853,x19854,x19855,x19852))
% 204.32/204.33 [1986]~E(x19861,x19862)+E(f216(x19861,x19863,x19864,x19865,x19866,x19867,x19868),f216(x19862,x19863,x19864,x19865,x19866,x19867,x19868))
% 204.32/204.33 [1987]~E(x19871,x19872)+E(f216(x19873,x19871,x19874,x19875,x19876,x19877,x19878),f216(x19873,x19872,x19874,x19875,x19876,x19877,x19878))
% 204.32/204.33 [1988]~E(x19881,x19882)+E(f216(x19883,x19884,x19881,x19885,x19886,x19887,x19888),f216(x19883,x19884,x19882,x19885,x19886,x19887,x19888))
% 204.32/204.33 [1989]~E(x19891,x19892)+E(f216(x19893,x19894,x19895,x19891,x19896,x19897,x19898),f216(x19893,x19894,x19895,x19892,x19896,x19897,x19898))
% 204.32/204.33 [1990]~E(x19901,x19902)+E(f216(x19903,x19904,x19905,x19906,x19901,x19907,x19908),f216(x19903,x19904,x19905,x19906,x19902,x19907,x19908))
% 204.32/204.33 [1991]~E(x19911,x19912)+E(f216(x19913,x19914,x19915,x19916,x19917,x19911,x19918),f216(x19913,x19914,x19915,x19916,x19917,x19912,x19918))
% 204.32/204.33 [1992]~E(x19921,x19922)+E(f216(x19923,x19924,x19925,x19926,x19927,x19928,x19921),f216(x19923,x19924,x19925,x19926,x19927,x19928,x19922))
% 204.32/204.33 [1993]~E(x19931,x19932)+E(f128(x19931),f128(x19932))
% 204.32/204.33 [1994]~E(x19941,x19942)+E(f433(x19941,x19943,x19944,x19945),f433(x19942,x19943,x19944,x19945))
% 204.32/204.33 [1995]~E(x19951,x19952)+E(f433(x19953,x19951,x19954,x19955),f433(x19953,x19952,x19954,x19955))
% 204.32/204.33 [1996]~E(x19961,x19962)+E(f433(x19963,x19964,x19961,x19965),f433(x19963,x19964,x19962,x19965))
% 204.32/204.33 [1997]~E(x19971,x19972)+E(f433(x19973,x19974,x19975,x19971),f433(x19973,x19974,x19975,x19972))
% 204.32/204.33 [1998]~E(x19981,x19982)+E(f338(x19981),f338(x19982))
% 204.32/204.33 [1999]~E(x19991,x19992)+E(f250(x19991,x19993,x19994,x19995,x19996,x19997),f250(x19992,x19993,x19994,x19995,x19996,x19997))
% 204.32/204.33 [2000]~E(x20001,x20002)+E(f250(x20003,x20001,x20004,x20005,x20006,x20007),f250(x20003,x20002,x20004,x20005,x20006,x20007))
% 204.32/204.33 [2001]~E(x20011,x20012)+E(f250(x20013,x20014,x20011,x20015,x20016,x20017),f250(x20013,x20014,x20012,x20015,x20016,x20017))
% 204.32/204.33 [2002]~E(x20021,x20022)+E(f250(x20023,x20024,x20025,x20021,x20026,x20027),f250(x20023,x20024,x20025,x20022,x20026,x20027))
% 204.32/204.33 [2003]~E(x20031,x20032)+E(f250(x20033,x20034,x20035,x20036,x20031,x20037),f250(x20033,x20034,x20035,x20036,x20032,x20037))
% 204.32/204.33 [2004]~E(x20041,x20042)+E(f250(x20043,x20044,x20045,x20046,x20047,x20041),f250(x20043,x20044,x20045,x20046,x20047,x20042))
% 204.32/204.33 [2005]~E(x20051,x20052)+E(f265(x20051,x20053,x20054,x20055,x20056),f265(x20052,x20053,x20054,x20055,x20056))
% 204.32/204.33 [2006]~E(x20061,x20062)+E(f265(x20063,x20061,x20064,x20065,x20066),f265(x20063,x20062,x20064,x20065,x20066))
% 204.32/204.33 [2007]~E(x20071,x20072)+E(f265(x20073,x20074,x20071,x20075,x20076),f265(x20073,x20074,x20072,x20075,x20076))
% 204.32/204.33 [2008]~E(x20081,x20082)+E(f265(x20083,x20084,x20085,x20081,x20086),f265(x20083,x20084,x20085,x20082,x20086))
% 204.32/204.33 [2009]~E(x20091,x20092)+E(f265(x20093,x20094,x20095,x20096,x20091),f265(x20093,x20094,x20095,x20096,x20092))
% 204.32/204.33 [2010]~E(x20101,x20102)+E(f650(x20101,x20103,x20104,x20105),f650(x20102,x20103,x20104,x20105))
% 204.32/204.33 [2011]~E(x20111,x20112)+E(f650(x20113,x20111,x20114,x20115),f650(x20113,x20112,x20114,x20115))
% 204.32/204.33 [2012]~E(x20121,x20122)+E(f650(x20123,x20124,x20121,x20125),f650(x20123,x20124,x20122,x20125))
% 204.32/204.33 [2013]~E(x20131,x20132)+E(f650(x20133,x20134,x20135,x20131),f650(x20133,x20134,x20135,x20132))
% 204.32/204.33 [2014]~E(x20141,x20142)+E(f524(x20141,x20143,x20144,x20145),f524(x20142,x20143,x20144,x20145))
% 204.32/204.33 [2015]~E(x20151,x20152)+E(f524(x20153,x20151,x20154,x20155),f524(x20153,x20152,x20154,x20155))
% 204.32/204.33 [2016]~E(x20161,x20162)+E(f524(x20163,x20164,x20161,x20165),f524(x20163,x20164,x20162,x20165))
% 204.32/204.33 [2017]~E(x20171,x20172)+E(f524(x20173,x20174,x20175,x20171),f524(x20173,x20174,x20175,x20172))
% 204.32/204.33 [2018]~E(x20181,x20182)+E(f503(x20181,x20183,x20184),f503(x20182,x20183,x20184))
% 204.32/204.33 [2019]~E(x20191,x20192)+E(f503(x20193,x20191,x20194),f503(x20193,x20192,x20194))
% 204.32/204.33 [2020]~E(x20201,x20202)+E(f503(x20203,x20204,x20201),f503(x20203,x20204,x20202))
% 204.32/204.33 [2021]~E(x20211,x20212)+E(f421(x20211,x20213,x20214),f421(x20212,x20213,x20214))
% 204.32/204.33 [2022]~E(x20221,x20222)+E(f421(x20223,x20221,x20224),f421(x20223,x20222,x20224))
% 204.32/204.33 [2023]~E(x20231,x20232)+E(f421(x20233,x20234,x20231),f421(x20233,x20234,x20232))
% 204.32/204.33 [2024]~E(x20241,x20242)+E(f620(x20241,x20243),f620(x20242,x20243))
% 204.32/204.33 [2025]~E(x20251,x20252)+E(f620(x20253,x20251),f620(x20253,x20252))
% 204.32/204.33 [2026]~E(x20261,x20262)+E(f794(x20261,x20263,x20264,x20265,x20266),f794(x20262,x20263,x20264,x20265,x20266))
% 204.32/204.33 [2027]~E(x20271,x20272)+E(f794(x20273,x20271,x20274,x20275,x20276),f794(x20273,x20272,x20274,x20275,x20276))
% 204.32/204.33 [2028]~E(x20281,x20282)+E(f794(x20283,x20284,x20281,x20285,x20286),f794(x20283,x20284,x20282,x20285,x20286))
% 204.32/204.33 [2029]~E(x20291,x20292)+E(f794(x20293,x20294,x20295,x20291,x20296),f794(x20293,x20294,x20295,x20292,x20296))
% 204.32/204.33 [2030]~E(x20301,x20302)+E(f794(x20303,x20304,x20305,x20306,x20301),f794(x20303,x20304,x20305,x20306,x20302))
% 204.32/204.33 [2031]~E(x20311,x20312)+E(f342(x20311,x20313,x20314),f342(x20312,x20313,x20314))
% 204.32/204.33 [2032]~E(x20321,x20322)+E(f342(x20323,x20321,x20324),f342(x20323,x20322,x20324))
% 204.32/204.33 [2033]~E(x20331,x20332)+E(f342(x20333,x20334,x20331),f342(x20333,x20334,x20332))
% 204.32/204.33 [2034]~E(x20341,x20342)+E(f666(x20341,x20343,x20344),f666(x20342,x20343,x20344))
% 204.32/204.33 [2035]~E(x20351,x20352)+E(f666(x20353,x20351,x20354),f666(x20353,x20352,x20354))
% 204.32/204.33 [2036]~E(x20361,x20362)+E(f666(x20363,x20364,x20361),f666(x20363,x20364,x20362))
% 204.32/204.33 [2037]~E(x20371,x20372)+E(f414(x20371,x20373,x20374,x20375),f414(x20372,x20373,x20374,x20375))
% 204.32/204.33 [2038]~E(x20381,x20382)+E(f414(x20383,x20381,x20384,x20385),f414(x20383,x20382,x20384,x20385))
% 204.32/204.33 [2039]~E(x20391,x20392)+E(f414(x20393,x20394,x20391,x20395),f414(x20393,x20394,x20392,x20395))
% 204.32/204.33 [2040]~E(x20401,x20402)+E(f414(x20403,x20404,x20405,x20401),f414(x20403,x20404,x20405,x20402))
% 204.32/204.33 [2041]~E(x20411,x20412)+E(f799(x20411,x20413,x20414,x20415,x20416,x20417,x20418),f799(x20412,x20413,x20414,x20415,x20416,x20417,x20418))
% 204.32/204.33 [2042]~E(x20421,x20422)+E(f799(x20423,x20421,x20424,x20425,x20426,x20427,x20428),f799(x20423,x20422,x20424,x20425,x20426,x20427,x20428))
% 204.32/204.33 [2043]~E(x20431,x20432)+E(f799(x20433,x20434,x20431,x20435,x20436,x20437,x20438),f799(x20433,x20434,x20432,x20435,x20436,x20437,x20438))
% 204.32/204.33 [2044]~E(x20441,x20442)+E(f799(x20443,x20444,x20445,x20441,x20446,x20447,x20448),f799(x20443,x20444,x20445,x20442,x20446,x20447,x20448))
% 204.32/204.33 [2045]~E(x20451,x20452)+E(f799(x20453,x20454,x20455,x20456,x20451,x20457,x20458),f799(x20453,x20454,x20455,x20456,x20452,x20457,x20458))
% 204.32/204.33 [2046]~E(x20461,x20462)+E(f799(x20463,x20464,x20465,x20466,x20467,x20461,x20468),f799(x20463,x20464,x20465,x20466,x20467,x20462,x20468))
% 204.32/204.33 [2047]~E(x20471,x20472)+E(f799(x20473,x20474,x20475,x20476,x20477,x20478,x20471),f799(x20473,x20474,x20475,x20476,x20477,x20478,x20472))
% 204.32/204.33 [2048]~E(x20481,x20482)+E(f880(x20481,x20483,x20484,x20485,x20486,x20487,x20488),f880(x20482,x20483,x20484,x20485,x20486,x20487,x20488))
% 204.32/204.33 [2049]~E(x20491,x20492)+E(f880(x20493,x20491,x20494,x20495,x20496,x20497,x20498),f880(x20493,x20492,x20494,x20495,x20496,x20497,x20498))
% 204.32/204.33 [2050]~E(x20501,x20502)+E(f880(x20503,x20504,x20501,x20505,x20506,x20507,x20508),f880(x20503,x20504,x20502,x20505,x20506,x20507,x20508))
% 204.32/204.33 [2051]~E(x20511,x20512)+E(f880(x20513,x20514,x20515,x20511,x20516,x20517,x20518),f880(x20513,x20514,x20515,x20512,x20516,x20517,x20518))
% 204.32/204.33 [2052]~E(x20521,x20522)+E(f880(x20523,x20524,x20525,x20526,x20521,x20527,x20528),f880(x20523,x20524,x20525,x20526,x20522,x20527,x20528))
% 204.32/204.33 [2053]~E(x20531,x20532)+E(f880(x20533,x20534,x20535,x20536,x20537,x20531,x20538),f880(x20533,x20534,x20535,x20536,x20537,x20532,x20538))
% 204.32/204.33 [2054]~E(x20541,x20542)+E(f880(x20543,x20544,x20545,x20546,x20547,x20548,x20541),f880(x20543,x20544,x20545,x20546,x20547,x20548,x20542))
% 204.32/204.33 [2055]~E(x20551,x20552)+E(f728(x20551,x20553,x20554,x20555,x20556),f728(x20552,x20553,x20554,x20555,x20556))
% 204.32/204.33 [2056]~E(x20561,x20562)+E(f728(x20563,x20561,x20564,x20565,x20566),f728(x20563,x20562,x20564,x20565,x20566))
% 204.32/204.33 [2057]~E(x20571,x20572)+E(f728(x20573,x20574,x20571,x20575,x20576),f728(x20573,x20574,x20572,x20575,x20576))
% 204.32/204.33 [2058]~E(x20581,x20582)+E(f728(x20583,x20584,x20585,x20581,x20586),f728(x20583,x20584,x20585,x20582,x20586))
% 204.32/204.33 [2059]~E(x20591,x20592)+E(f728(x20593,x20594,x20595,x20596,x20591),f728(x20593,x20594,x20595,x20596,x20592))
% 204.32/204.33 [2060]~E(x20601,x20602)+E(f429(x20601,x20603),f429(x20602,x20603))
% 204.32/204.33 [2061]~E(x20611,x20612)+E(f429(x20613,x20611),f429(x20613,x20612))
% 204.32/204.33 [2062]~E(x20621,x20622)+E(f515(x20621,x20623,x20624,x20625,x20626,x20627,x20628),f515(x20622,x20623,x20624,x20625,x20626,x20627,x20628))
% 204.32/204.33 [2063]~E(x20631,x20632)+E(f515(x20633,x20631,x20634,x20635,x20636,x20637,x20638),f515(x20633,x20632,x20634,x20635,x20636,x20637,x20638))
% 204.32/204.33 [2064]~E(x20641,x20642)+E(f515(x20643,x20644,x20641,x20645,x20646,x20647,x20648),f515(x20643,x20644,x20642,x20645,x20646,x20647,x20648))
% 204.32/204.33 [2065]~E(x20651,x20652)+E(f515(x20653,x20654,x20655,x20651,x20656,x20657,x20658),f515(x20653,x20654,x20655,x20652,x20656,x20657,x20658))
% 204.32/204.33 [2066]~E(x20661,x20662)+E(f515(x20663,x20664,x20665,x20666,x20661,x20667,x20668),f515(x20663,x20664,x20665,x20666,x20662,x20667,x20668))
% 204.32/204.33 [2067]~E(x20671,x20672)+E(f515(x20673,x20674,x20675,x20676,x20677,x20671,x20678),f515(x20673,x20674,x20675,x20676,x20677,x20672,x20678))
% 204.32/204.33 [2068]~E(x20681,x20682)+E(f515(x20683,x20684,x20685,x20686,x20687,x20688,x20681),f515(x20683,x20684,x20685,x20686,x20687,x20688,x20682))
% 204.32/204.33 [2069]~E(x20691,x20692)+E(f539(x20691,x20693,x20694,x20695),f539(x20692,x20693,x20694,x20695))
% 204.32/204.33 [2070]~E(x20701,x20702)+E(f539(x20703,x20701,x20704,x20705),f539(x20703,x20702,x20704,x20705))
% 204.32/204.33 [2071]~E(x20711,x20712)+E(f539(x20713,x20714,x20711,x20715),f539(x20713,x20714,x20712,x20715))
% 204.32/204.33 [2072]~E(x20721,x20722)+E(f539(x20723,x20724,x20725,x20721),f539(x20723,x20724,x20725,x20722))
% 204.32/204.33 [2073]~E(x20731,x20732)+E(f431(x20731,x20733,x20734,x20735),f431(x20732,x20733,x20734,x20735))
% 204.32/204.33 [2074]~E(x20741,x20742)+E(f431(x20743,x20741,x20744,x20745),f431(x20743,x20742,x20744,x20745))
% 204.32/204.33 [2075]~E(x20751,x20752)+E(f431(x20753,x20754,x20751,x20755),f431(x20753,x20754,x20752,x20755))
% 204.32/204.33 [2076]~E(x20761,x20762)+E(f431(x20763,x20764,x20765,x20761),f431(x20763,x20764,x20765,x20762))
% 204.32/204.33 [2077]~E(x20771,x20772)+E(f788(x20771,x20773,x20774),f788(x20772,x20773,x20774))
% 204.32/204.33 [2078]~E(x20781,x20782)+E(f788(x20783,x20781,x20784),f788(x20783,x20782,x20784))
% 204.32/204.33 [2079]~E(x20791,x20792)+E(f788(x20793,x20794,x20791),f788(x20793,x20794,x20792))
% 204.32/204.33 [2080]~E(x20801,x20802)+E(f269(x20801,x20803,x20804),f269(x20802,x20803,x20804))
% 204.32/204.33 [2081]~E(x20811,x20812)+E(f269(x20813,x20811,x20814),f269(x20813,x20812,x20814))
% 204.32/204.33 [2082]~E(x20821,x20822)+E(f269(x20823,x20824,x20821),f269(x20823,x20824,x20822))
% 204.32/204.33 [2083]~E(x20831,x20832)+E(f621(x20831,x20833),f621(x20832,x20833))
% 204.32/204.33 [2084]~E(x20841,x20842)+E(f621(x20843,x20841),f621(x20843,x20842))
% 204.32/204.33 [2085]~E(x20851,x20852)+E(f612(x20851,x20853,x20854,x20855,x20856,x20857,x20858,x20859),f612(x20852,x20853,x20854,x20855,x20856,x20857,x20858,x20859))
% 204.32/204.33 [2086]~E(x20861,x20862)+E(f612(x20863,x20861,x20864,x20865,x20866,x20867,x20868,x20869),f612(x20863,x20862,x20864,x20865,x20866,x20867,x20868,x20869))
% 204.32/204.33 [2087]~E(x20871,x20872)+E(f612(x20873,x20874,x20871,x20875,x20876,x20877,x20878,x20879),f612(x20873,x20874,x20872,x20875,x20876,x20877,x20878,x20879))
% 204.32/204.33 [2088]~E(x20881,x20882)+E(f612(x20883,x20884,x20885,x20881,x20886,x20887,x20888,x20889),f612(x20883,x20884,x20885,x20882,x20886,x20887,x20888,x20889))
% 204.32/204.33 [2089]~E(x20891,x20892)+E(f612(x20893,x20894,x20895,x20896,x20891,x20897,x20898,x20899),f612(x20893,x20894,x20895,x20896,x20892,x20897,x20898,x20899))
% 204.32/204.33 [2090]~E(x20901,x20902)+E(f612(x20903,x20904,x20905,x20906,x20907,x20901,x20908,x20909),f612(x20903,x20904,x20905,x20906,x20907,x20902,x20908,x20909))
% 204.32/204.33 [2091]~E(x20911,x20912)+E(f612(x20913,x20914,x20915,x20916,x20917,x20918,x20911,x20919),f612(x20913,x20914,x20915,x20916,x20917,x20918,x20912,x20919))
% 204.32/204.33 [2092]~E(x20921,x20922)+E(f612(x20923,x20924,x20925,x20926,x20927,x20928,x20929,x20921),f612(x20923,x20924,x20925,x20926,x20927,x20928,x20929,x20922))
% 204.32/204.33 [2093]~E(x20931,x20932)+E(f705(x20931,x20933),f705(x20932,x20933))
% 204.32/204.33 [2094]~E(x20941,x20942)+E(f705(x20943,x20941),f705(x20943,x20942))
% 204.32/204.33 [2095]~E(x20951,x20952)+E(f437(x20951,x20953,x20954),f437(x20952,x20953,x20954))
% 204.32/204.33 [2096]~E(x20961,x20962)+E(f437(x20963,x20961,x20964),f437(x20963,x20962,x20964))
% 204.32/204.33 [2097]~E(x20971,x20972)+E(f437(x20973,x20974,x20971),f437(x20973,x20974,x20972))
% 204.32/204.33 [2098]~E(x20981,x20982)+E(f425(x20981,x20983,x20984,x20985),f425(x20982,x20983,x20984,x20985))
% 204.32/204.33 [2099]~E(x20991,x20992)+E(f425(x20993,x20991,x20994,x20995),f425(x20993,x20992,x20994,x20995))
% 204.32/204.33 [2100]~E(x21001,x21002)+E(f425(x21003,x21004,x21001,x21005),f425(x21003,x21004,x21002,x21005))
% 204.32/204.33 [2101]~E(x21011,x21012)+E(f425(x21013,x21014,x21015,x21011),f425(x21013,x21014,x21015,x21012))
% 204.32/204.33 [2102]~E(x21021,x21022)+E(f907(x21021,x21023,x21024,x21025),f907(x21022,x21023,x21024,x21025))
% 204.32/204.33 [2103]~E(x21031,x21032)+E(f907(x21033,x21031,x21034,x21035),f907(x21033,x21032,x21034,x21035))
% 204.32/204.33 [2104]~E(x21041,x21042)+E(f907(x21043,x21044,x21041,x21045),f907(x21043,x21044,x21042,x21045))
% 204.32/204.33 [2105]~E(x21051,x21052)+E(f907(x21053,x21054,x21055,x21051),f907(x21053,x21054,x21055,x21052))
% 204.32/204.33 [2106]~E(x21061,x21062)+E(f545(x21061,x21063,x21064,x21065,x21066),f545(x21062,x21063,x21064,x21065,x21066))
% 204.32/204.33 [2107]~E(x21071,x21072)+E(f545(x21073,x21071,x21074,x21075,x21076),f545(x21073,x21072,x21074,x21075,x21076))
% 204.32/204.33 [2108]~E(x21081,x21082)+E(f545(x21083,x21084,x21081,x21085,x21086),f545(x21083,x21084,x21082,x21085,x21086))
% 204.32/204.33 [2109]~E(x21091,x21092)+E(f545(x21093,x21094,x21095,x21091,x21096),f545(x21093,x21094,x21095,x21092,x21096))
% 204.32/204.33 [2110]~E(x21101,x21102)+E(f545(x21103,x21104,x21105,x21106,x21101),f545(x21103,x21104,x21105,x21106,x21102))
% 204.32/204.33 [2111]~E(x21111,x21112)+E(f872(x21111,x21113,x21114,x21115,x21116,x21117,x21118),f872(x21112,x21113,x21114,x21115,x21116,x21117,x21118))
% 204.32/204.33 [2112]~E(x21121,x21122)+E(f872(x21123,x21121,x21124,x21125,x21126,x21127,x21128),f872(x21123,x21122,x21124,x21125,x21126,x21127,x21128))
% 204.32/204.33 [2113]~E(x21131,x21132)+E(f872(x21133,x21134,x21131,x21135,x21136,x21137,x21138),f872(x21133,x21134,x21132,x21135,x21136,x21137,x21138))
% 204.32/204.33 [2114]~E(x21141,x21142)+E(f872(x21143,x21144,x21145,x21141,x21146,x21147,x21148),f872(x21143,x21144,x21145,x21142,x21146,x21147,x21148))
% 204.32/204.33 [2115]~E(x21151,x21152)+E(f872(x21153,x21154,x21155,x21156,x21151,x21157,x21158),f872(x21153,x21154,x21155,x21156,x21152,x21157,x21158))
% 204.32/204.33 [2116]~E(x21161,x21162)+E(f872(x21163,x21164,x21165,x21166,x21167,x21161,x21168),f872(x21163,x21164,x21165,x21166,x21167,x21162,x21168))
% 204.32/204.33 [2117]~E(x21171,x21172)+E(f872(x21173,x21174,x21175,x21176,x21177,x21178,x21171),f872(x21173,x21174,x21175,x21176,x21177,x21178,x21172))
% 204.32/204.33 [2118]~E(x21181,x21182)+E(f387(x21181,x21183,x21184,x21185),f387(x21182,x21183,x21184,x21185))
% 204.32/204.33 [2119]~E(x21191,x21192)+E(f387(x21193,x21191,x21194,x21195),f387(x21193,x21192,x21194,x21195))
% 204.32/204.33 [2120]~E(x21201,x21202)+E(f387(x21203,x21204,x21201,x21205),f387(x21203,x21204,x21202,x21205))
% 204.32/204.33 [2121]~E(x21211,x21212)+E(f387(x21213,x21214,x21215,x21211),f387(x21213,x21214,x21215,x21212))
% 204.32/204.33 [2122]~E(x21221,x21222)+E(f236(x21221,x21223,x21224,x21225),f236(x21222,x21223,x21224,x21225))
% 204.32/204.33 [2123]~E(x21231,x21232)+E(f236(x21233,x21231,x21234,x21235),f236(x21233,x21232,x21234,x21235))
% 204.32/204.33 [2124]~E(x21241,x21242)+E(f236(x21243,x21244,x21241,x21245),f236(x21243,x21244,x21242,x21245))
% 204.32/204.33 [2125]~E(x21251,x21252)+E(f236(x21253,x21254,x21255,x21251),f236(x21253,x21254,x21255,x21252))
% 204.32/204.33 [2126]~E(x21261,x21262)+E(f832(x21261,x21263),f832(x21262,x21263))
% 204.32/204.33 [2127]~E(x21271,x21272)+E(f832(x21273,x21271),f832(x21273,x21272))
% 204.32/204.33 [2128]~E(x21281,x21282)+E(f848(x21281,x21283,x21284,x21285,x21286),f848(x21282,x21283,x21284,x21285,x21286))
% 204.32/204.33 [2129]~E(x21291,x21292)+E(f848(x21293,x21291,x21294,x21295,x21296),f848(x21293,x21292,x21294,x21295,x21296))
% 204.32/204.33 [2130]~E(x21301,x21302)+E(f848(x21303,x21304,x21301,x21305,x21306),f848(x21303,x21304,x21302,x21305,x21306))
% 204.32/204.33 [2131]~E(x21311,x21312)+E(f848(x21313,x21314,x21315,x21311,x21316),f848(x21313,x21314,x21315,x21312,x21316))
% 204.32/204.33 [2132]~E(x21321,x21322)+E(f848(x21323,x21324,x21325,x21326,x21321),f848(x21323,x21324,x21325,x21326,x21322))
% 204.32/204.33 [2133]~E(x21331,x21332)+E(f920(x21331,x21333,x21334),f920(x21332,x21333,x21334))
% 204.32/204.33 [2134]~E(x21341,x21342)+E(f920(x21343,x21341,x21344),f920(x21343,x21342,x21344))
% 204.32/204.33 [2135]~E(x21351,x21352)+E(f920(x21353,x21354,x21351),f920(x21353,x21354,x21352))
% 204.32/204.33 [2136]~E(x21361,x21362)+E(f761(x21361,x21363,x21364,x21365,x21366),f761(x21362,x21363,x21364,x21365,x21366))
% 204.32/204.33 [2137]~E(x21371,x21372)+E(f761(x21373,x21371,x21374,x21375,x21376),f761(x21373,x21372,x21374,x21375,x21376))
% 204.32/204.33 [2138]~E(x21381,x21382)+E(f761(x21383,x21384,x21381,x21385,x21386),f761(x21383,x21384,x21382,x21385,x21386))
% 204.32/204.33 [2139]~E(x21391,x21392)+E(f761(x21393,x21394,x21395,x21391,x21396),f761(x21393,x21394,x21395,x21392,x21396))
% 204.32/204.33 [2140]~E(x21401,x21402)+E(f761(x21403,x21404,x21405,x21406,x21401),f761(x21403,x21404,x21405,x21406,x21402))
% 204.32/204.33 [2141]~E(x21411,x21412)+E(f908(x21411,x21413,x21414,x21415,x21416),f908(x21412,x21413,x21414,x21415,x21416))
% 204.32/204.33 [2142]~E(x21421,x21422)+E(f908(x21423,x21421,x21424,x21425,x21426),f908(x21423,x21422,x21424,x21425,x21426))
% 204.32/204.33 [2143]~E(x21431,x21432)+E(f908(x21433,x21434,x21431,x21435,x21436),f908(x21433,x21434,x21432,x21435,x21436))
% 204.32/204.33 [2144]~E(x21441,x21442)+E(f908(x21443,x21444,x21445,x21441,x21446),f908(x21443,x21444,x21445,x21442,x21446))
% 204.32/204.33 [2145]~E(x21451,x21452)+E(f908(x21453,x21454,x21455,x21456,x21451),f908(x21453,x21454,x21455,x21456,x21452))
% 204.32/204.33 [2146]~E(x21461,x21462)+E(f882(x21461,x21463),f882(x21462,x21463))
% 204.32/204.33 [2147]~E(x21471,x21472)+E(f882(x21473,x21471),f882(x21473,x21472))
% 204.32/204.33 [2148]~E(x21481,x21482)+E(f335(x21481,x21483,x21484,x21485),f335(x21482,x21483,x21484,x21485))
% 204.32/204.33 [2149]~E(x21491,x21492)+E(f335(x21493,x21491,x21494,x21495),f335(x21493,x21492,x21494,x21495))
% 204.32/204.33 [2150]~E(x21501,x21502)+E(f335(x21503,x21504,x21501,x21505),f335(x21503,x21504,x21502,x21505))
% 204.32/204.33 [2151]~E(x21511,x21512)+E(f335(x21513,x21514,x21515,x21511),f335(x21513,x21514,x21515,x21512))
% 204.32/204.33 [2152]~E(x21521,x21522)+E(f623(x21521,x21523,x21524),f623(x21522,x21523,x21524))
% 204.32/204.33 [2153]~E(x21531,x21532)+E(f623(x21533,x21531,x21534),f623(x21533,x21532,x21534))
% 204.32/204.33 [2154]~E(x21541,x21542)+E(f623(x21543,x21544,x21541),f623(x21543,x21544,x21542))
% 204.32/204.33 [2155]~E(x21551,x21552)+E(f420(x21551,x21553,x21554),f420(x21552,x21553,x21554))
% 204.32/204.33 [2156]~E(x21561,x21562)+E(f420(x21563,x21561,x21564),f420(x21563,x21562,x21564))
% 204.32/204.33 [2157]~E(x21571,x21572)+E(f420(x21573,x21574,x21571),f420(x21573,x21574,x21572))
% 204.32/204.33 [2158]~E(x21581,x21582)+E(f514(x21581,x21583,x21584),f514(x21582,x21583,x21584))
% 204.32/204.33 [2159]~E(x21591,x21592)+E(f514(x21593,x21591,x21594),f514(x21593,x21592,x21594))
% 204.32/204.33 [2160]~E(x21601,x21602)+E(f514(x21603,x21604,x21601),f514(x21603,x21604,x21602))
% 204.32/204.33 [2161]~E(x21611,x21612)+E(f777(x21611,x21613,x21614,x21615),f777(x21612,x21613,x21614,x21615))
% 204.32/204.33 [2162]~E(x21621,x21622)+E(f777(x21623,x21621,x21624,x21625),f777(x21623,x21622,x21624,x21625))
% 204.32/204.33 [2163]~E(x21631,x21632)+E(f777(x21633,x21634,x21631,x21635),f777(x21633,x21634,x21632,x21635))
% 204.32/204.33 [2164]~E(x21641,x21642)+E(f777(x21643,x21644,x21645,x21641),f777(x21643,x21644,x21645,x21642))
% 204.32/204.33 [2165]~E(x21651,x21652)+E(f552(x21651,x21653,x21654,x21655),f552(x21652,x21653,x21654,x21655))
% 204.32/204.33 [2166]~E(x21661,x21662)+E(f552(x21663,x21661,x21664,x21665),f552(x21663,x21662,x21664,x21665))
% 204.32/204.33 [2167]~E(x21671,x21672)+E(f552(x21673,x21674,x21671,x21675),f552(x21673,x21674,x21672,x21675))
% 204.32/204.33 [2168]~E(x21681,x21682)+E(f552(x21683,x21684,x21685,x21681),f552(x21683,x21684,x21685,x21682))
% 204.32/204.33 [2169]~E(x21691,x21692)+E(f457(x21691,x21693,x21694,x21695,x21696),f457(x21692,x21693,x21694,x21695,x21696))
% 204.32/204.33 [2170]~E(x21701,x21702)+E(f457(x21703,x21701,x21704,x21705,x21706),f457(x21703,x21702,x21704,x21705,x21706))
% 204.32/204.33 [2171]~E(x21711,x21712)+E(f457(x21713,x21714,x21711,x21715,x21716),f457(x21713,x21714,x21712,x21715,x21716))
% 204.32/204.33 [2172]~E(x21721,x21722)+E(f457(x21723,x21724,x21725,x21721,x21726),f457(x21723,x21724,x21725,x21722,x21726))
% 204.32/204.33 [2173]~E(x21731,x21732)+E(f457(x21733,x21734,x21735,x21736,x21731),f457(x21733,x21734,x21735,x21736,x21732))
% 204.32/204.33 [2174]~E(x21741,x21742)+E(f534(x21741,x21743,x21744,x21745),f534(x21742,x21743,x21744,x21745))
% 204.32/204.33 [2175]~E(x21751,x21752)+E(f534(x21753,x21751,x21754,x21755),f534(x21753,x21752,x21754,x21755))
% 204.32/204.33 [2176]~E(x21761,x21762)+E(f534(x21763,x21764,x21761,x21765),f534(x21763,x21764,x21762,x21765))
% 204.32/204.33 [2177]~E(x21771,x21772)+E(f534(x21773,x21774,x21775,x21771),f534(x21773,x21774,x21775,x21772))
% 204.32/204.33 [2178]~E(x21781,x21782)+E(f834(x21781,x21783,x21784,x21785),f834(x21782,x21783,x21784,x21785))
% 204.32/204.33 [2179]~E(x21791,x21792)+E(f834(x21793,x21791,x21794,x21795),f834(x21793,x21792,x21794,x21795))
% 204.32/204.33 [2180]~E(x21801,x21802)+E(f834(x21803,x21804,x21801,x21805),f834(x21803,x21804,x21802,x21805))
% 204.32/204.33 [2181]~E(x21811,x21812)+E(f834(x21813,x21814,x21815,x21811),f834(x21813,x21814,x21815,x21812))
% 204.32/204.33 [2182]~E(x21821,x21822)+E(f388(x21821,x21823,x21824),f388(x21822,x21823,x21824))
% 204.32/204.33 [2183]~E(x21831,x21832)+E(f388(x21833,x21831,x21834),f388(x21833,x21832,x21834))
% 204.32/204.33 [2184]~E(x21841,x21842)+E(f388(x21843,x21844,x21841),f388(x21843,x21844,x21842))
% 204.32/204.33 [2185]~E(x21851,x21852)+E(f131(x21851,x21853,x21854,x21855,x21856),f131(x21852,x21853,x21854,x21855,x21856))
% 204.32/204.33 [2186]~E(x21861,x21862)+E(f131(x21863,x21861,x21864,x21865,x21866),f131(x21863,x21862,x21864,x21865,x21866))
% 204.32/204.33 [2187]~E(x21871,x21872)+E(f131(x21873,x21874,x21871,x21875,x21876),f131(x21873,x21874,x21872,x21875,x21876))
% 204.32/204.33 [2188]~E(x21881,x21882)+E(f131(x21883,x21884,x21885,x21881,x21886),f131(x21883,x21884,x21885,x21882,x21886))
% 204.32/204.33 [2189]~E(x21891,x21892)+E(f131(x21893,x21894,x21895,x21896,x21891),f131(x21893,x21894,x21895,x21896,x21892))
% 204.32/204.33 [2190]~E(x21901,x21902)+E(f540(x21901,x21903,x21904),f540(x21902,x21903,x21904))
% 204.32/204.33 [2191]~E(x21911,x21912)+E(f540(x21913,x21911,x21914),f540(x21913,x21912,x21914))
% 204.32/204.33 [2192]~E(x21921,x21922)+E(f540(x21923,x21924,x21921),f540(x21923,x21924,x21922))
% 204.32/204.33 [2193]~E(x21931,x21932)+E(f396(x21931,x21933),f396(x21932,x21933))
% 204.32/204.33 [2194]~E(x21941,x21942)+E(f396(x21943,x21941),f396(x21943,x21942))
% 204.32/204.33 [2195]~E(x21951,x21952)+E(f200(x21951,x21953,x21954,x21955),f200(x21952,x21953,x21954,x21955))
% 204.32/204.33 [2196]~E(x21961,x21962)+E(f200(x21963,x21961,x21964,x21965),f200(x21963,x21962,x21964,x21965))
% 204.32/204.33 [2197]~E(x21971,x21972)+E(f200(x21973,x21974,x21971,x21975),f200(x21973,x21974,x21972,x21975))
% 204.32/204.33 [2198]~E(x21981,x21982)+E(f200(x21983,x21984,x21985,x21981),f200(x21983,x21984,x21985,x21982))
% 204.32/204.33 [2199]~E(x21991,x21992)+E(f645(x21991,x21993),f645(x21992,x21993))
% 204.32/204.33 [2200]~E(x22001,x22002)+E(f645(x22003,x22001),f645(x22003,x22002))
% 204.32/204.33 [2201]~E(x22011,x22012)+E(f525(x22011),f525(x22012))
% 204.32/204.33 [2202]~E(x22021,x22022)+E(f814(x22021,x22023),f814(x22022,x22023))
% 204.32/204.33 [2203]~E(x22031,x22032)+E(f814(x22033,x22031),f814(x22033,x22032))
% 204.32/204.33 [2204]~E(x22041,x22042)+E(f126(x22041,x22043,x22044,x22045),f126(x22042,x22043,x22044,x22045))
% 204.32/204.33 [2205]~E(x22051,x22052)+E(f126(x22053,x22051,x22054,x22055),f126(x22053,x22052,x22054,x22055))
% 204.32/204.33 [2206]~E(x22061,x22062)+E(f126(x22063,x22064,x22061,x22065),f126(x22063,x22064,x22062,x22065))
% 204.32/204.33 [2207]~E(x22071,x22072)+E(f126(x22073,x22074,x22075,x22071),f126(x22073,x22074,x22075,x22072))
% 204.32/204.33 [2208]~E(x22081,x22082)+E(f664(x22081,x22083,x22084,x22085),f664(x22082,x22083,x22084,x22085))
% 204.32/204.33 [2209]~E(x22091,x22092)+E(f664(x22093,x22091,x22094,x22095),f664(x22093,x22092,x22094,x22095))
% 204.32/204.33 [2210]~E(x22101,x22102)+E(f664(x22103,x22104,x22101,x22105),f664(x22103,x22104,x22102,x22105))
% 204.32/204.33 [2211]~E(x22111,x22112)+E(f664(x22113,x22114,x22115,x22111),f664(x22113,x22114,x22115,x22112))
% 204.32/204.33 [2212]~E(x22121,x22122)+E(f651(x22121,x22123,x22124,x22125),f651(x22122,x22123,x22124,x22125))
% 204.32/204.33 [2213]~E(x22131,x22132)+E(f651(x22133,x22131,x22134,x22135),f651(x22133,x22132,x22134,x22135))
% 204.32/204.33 [2214]~E(x22141,x22142)+E(f651(x22143,x22144,x22141,x22145),f651(x22143,x22144,x22142,x22145))
% 204.32/204.33 [2215]~E(x22151,x22152)+E(f651(x22153,x22154,x22155,x22151),f651(x22153,x22154,x22155,x22152))
% 204.32/204.33 [2216]~E(x22161,x22162)+E(f672(x22161,x22163,x22164),f672(x22162,x22163,x22164))
% 204.32/204.33 [2217]~E(x22171,x22172)+E(f672(x22173,x22171,x22174),f672(x22173,x22172,x22174))
% 204.32/204.33 [2218]~E(x22181,x22182)+E(f672(x22183,x22184,x22181),f672(x22183,x22184,x22182))
% 204.32/204.33 [2219]~E(x22191,x22192)+E(f559(x22191,x22193,x22194,x22195),f559(x22192,x22193,x22194,x22195))
% 204.32/204.33 [2220]~E(x22201,x22202)+E(f559(x22203,x22201,x22204,x22205),f559(x22203,x22202,x22204,x22205))
% 204.32/204.33 [2221]~E(x22211,x22212)+E(f559(x22213,x22214,x22211,x22215),f559(x22213,x22214,x22212,x22215))
% 204.32/204.33 [2222]~E(x22221,x22222)+E(f559(x22223,x22224,x22225,x22221),f559(x22223,x22224,x22225,x22222))
% 204.32/204.33 [2223]~E(x22231,x22232)+E(f888(x22231,x22233,x22234,x22235,x22236,x22237,x22238),f888(x22232,x22233,x22234,x22235,x22236,x22237,x22238))
% 204.32/204.33 [2224]~E(x22241,x22242)+E(f888(x22243,x22241,x22244,x22245,x22246,x22247,x22248),f888(x22243,x22242,x22244,x22245,x22246,x22247,x22248))
% 204.32/204.33 [2225]~E(x22251,x22252)+E(f888(x22253,x22254,x22251,x22255,x22256,x22257,x22258),f888(x22253,x22254,x22252,x22255,x22256,x22257,x22258))
% 204.32/204.33 [2226]~E(x22261,x22262)+E(f888(x22263,x22264,x22265,x22261,x22266,x22267,x22268),f888(x22263,x22264,x22265,x22262,x22266,x22267,x22268))
% 204.32/204.33 [2227]~E(x22271,x22272)+E(f888(x22273,x22274,x22275,x22276,x22271,x22277,x22278),f888(x22273,x22274,x22275,x22276,x22272,x22277,x22278))
% 204.32/204.33 [2228]~E(x22281,x22282)+E(f888(x22283,x22284,x22285,x22286,x22287,x22281,x22288),f888(x22283,x22284,x22285,x22286,x22287,x22282,x22288))
% 204.32/204.33 [2229]~E(x22291,x22292)+E(f888(x22293,x22294,x22295,x22296,x22297,x22298,x22291),f888(x22293,x22294,x22295,x22296,x22297,x22298,x22292))
% 204.32/204.33 [2230]~E(x22301,x22302)+E(f405(x22301,x22303,x22304,x22305),f405(x22302,x22303,x22304,x22305))
% 204.32/204.33 [2231]~E(x22311,x22312)+E(f405(x22313,x22311,x22314,x22315),f405(x22313,x22312,x22314,x22315))
% 204.32/204.33 [2232]~E(x22321,x22322)+E(f405(x22323,x22324,x22321,x22325),f405(x22323,x22324,x22322,x22325))
% 204.32/204.33 [2233]~E(x22331,x22332)+E(f405(x22333,x22334,x22335,x22331),f405(x22333,x22334,x22335,x22332))
% 204.32/204.33 [2234]~E(x22341,x22342)+E(f379(x22341),f379(x22342))
% 204.32/204.33 [2235]~E(x22351,x22352)+E(f706(x22351,x22353,x22354,x22355),f706(x22352,x22353,x22354,x22355))
% 204.32/204.33 [2236]~E(x22361,x22362)+E(f706(x22363,x22361,x22364,x22365),f706(x22363,x22362,x22364,x22365))
% 204.32/204.33 [2237]~E(x22371,x22372)+E(f706(x22373,x22374,x22371,x22375),f706(x22373,x22374,x22372,x22375))
% 204.32/204.33 [2238]~E(x22381,x22382)+E(f706(x22383,x22384,x22385,x22381),f706(x22383,x22384,x22385,x22382))
% 204.32/204.33 [2239]~E(x22391,x22392)+E(f639(x22391,x22393,x22394,x22395),f639(x22392,x22393,x22394,x22395))
% 204.32/204.33 [2240]~E(x22401,x22402)+E(f639(x22403,x22401,x22404,x22405),f639(x22403,x22402,x22404,x22405))
% 204.32/204.33 [2241]~E(x22411,x22412)+E(f639(x22413,x22414,x22411,x22415),f639(x22413,x22414,x22412,x22415))
% 204.32/204.33 [2242]~E(x22421,x22422)+E(f639(x22423,x22424,x22425,x22421),f639(x22423,x22424,x22425,x22422))
% 204.32/204.33 [2243]~E(x22431,x22432)+E(f719(x22431,x22433,x22434),f719(x22432,x22433,x22434))
% 204.32/204.33 [2244]~E(x22441,x22442)+E(f719(x22443,x22441,x22444),f719(x22443,x22442,x22444))
% 204.32/204.33 [2245]~E(x22451,x22452)+E(f719(x22453,x22454,x22451),f719(x22453,x22454,x22452))
% 204.32/204.33 [2246]~E(x22461,x22462)+E(f674(x22461,x22463),f674(x22462,x22463))
% 204.32/204.33 [2247]~E(x22471,x22472)+E(f674(x22473,x22471),f674(x22473,x22472))
% 204.32/204.33 [2248]~E(x22481,x22482)+E(f531(x22481,x22483,x22484,x22485,x22486,x22487,x22488),f531(x22482,x22483,x22484,x22485,x22486,x22487,x22488))
% 204.32/204.33 [2249]~E(x22491,x22492)+E(f531(x22493,x22491,x22494,x22495,x22496,x22497,x22498),f531(x22493,x22492,x22494,x22495,x22496,x22497,x22498))
% 204.32/204.33 [2250]~E(x22501,x22502)+E(f531(x22503,x22504,x22501,x22505,x22506,x22507,x22508),f531(x22503,x22504,x22502,x22505,x22506,x22507,x22508))
% 204.32/204.33 [2251]~E(x22511,x22512)+E(f531(x22513,x22514,x22515,x22511,x22516,x22517,x22518),f531(x22513,x22514,x22515,x22512,x22516,x22517,x22518))
% 204.32/204.33 [2252]~E(x22521,x22522)+E(f531(x22523,x22524,x22525,x22526,x22521,x22527,x22528),f531(x22523,x22524,x22525,x22526,x22522,x22527,x22528))
% 204.32/204.33 [2253]~E(x22531,x22532)+E(f531(x22533,x22534,x22535,x22536,x22537,x22531,x22538),f531(x22533,x22534,x22535,x22536,x22537,x22532,x22538))
% 204.32/204.33 [2254]~E(x22541,x22542)+E(f531(x22543,x22544,x22545,x22546,x22547,x22548,x22541),f531(x22543,x22544,x22545,x22546,x22547,x22548,x22542))
% 204.32/204.33 [2255]~E(x22551,x22552)+E(f440(x22551,x22553,x22554),f440(x22552,x22553,x22554))
% 204.32/204.33 [2256]~E(x22561,x22562)+E(f440(x22563,x22561,x22564),f440(x22563,x22562,x22564))
% 204.32/204.33 [2257]~E(x22571,x22572)+E(f440(x22573,x22574,x22571),f440(x22573,x22574,x22572))
% 204.32/204.33 [2258]~E(x22581,x22582)+E(f271(x22581),f271(x22582))
% 204.32/204.33 [2259]~E(x22591,x22592)+E(f617(x22591,x22593,x22594,x22595,x22596),f617(x22592,x22593,x22594,x22595,x22596))
% 204.32/204.33 [2260]~E(x22601,x22602)+E(f617(x22603,x22601,x22604,x22605,x22606),f617(x22603,x22602,x22604,x22605,x22606))
% 204.32/204.33 [2261]~E(x22611,x22612)+E(f617(x22613,x22614,x22611,x22615,x22616),f617(x22613,x22614,x22612,x22615,x22616))
% 204.32/204.33 [2262]~E(x22621,x22622)+E(f617(x22623,x22624,x22625,x22621,x22626),f617(x22623,x22624,x22625,x22622,x22626))
% 204.32/204.33 [2263]~E(x22631,x22632)+E(f617(x22633,x22634,x22635,x22636,x22631),f617(x22633,x22634,x22635,x22636,x22632))
% 204.32/204.33 [2264]~E(x22641,x22642)+E(f279(x22641,x22643),f279(x22642,x22643))
% 204.32/204.33 [2265]~E(x22651,x22652)+E(f279(x22653,x22651),f279(x22653,x22652))
% 204.32/204.33 [2266]~E(x22661,x22662)+E(f419(x22661,x22663,x22664,x22665),f419(x22662,x22663,x22664,x22665))
% 204.32/204.33 [2267]~E(x22671,x22672)+E(f419(x22673,x22671,x22674,x22675),f419(x22673,x22672,x22674,x22675))
% 204.32/204.33 [2268]~E(x22681,x22682)+E(f419(x22683,x22684,x22681,x22685),f419(x22683,x22684,x22682,x22685))
% 204.32/204.33 [2269]~E(x22691,x22692)+E(f419(x22693,x22694,x22695,x22691),f419(x22693,x22694,x22695,x22692))
% 204.32/204.33 [2270]~E(x22701,x22702)+E(f789(x22701,x22703),f789(x22702,x22703))
% 204.32/204.33 [2271]~E(x22711,x22712)+E(f789(x22713,x22711),f789(x22713,x22712))
% 204.32/204.33 [2272]~E(x22721,x22722)+E(f587(x22721,x22723,x22724),f587(x22722,x22723,x22724))
% 204.32/204.33 [2273]~E(x22731,x22732)+E(f587(x22733,x22731,x22734),f587(x22733,x22732,x22734))
% 204.32/204.33 [2274]~E(x22741,x22742)+E(f587(x22743,x22744,x22741),f587(x22743,x22744,x22742))
% 204.32/204.33 [2275]~E(x22751,x22752)+E(f574(x22751,x22753),f574(x22752,x22753))
% 204.32/204.33 [2276]~E(x22761,x22762)+E(f574(x22763,x22761),f574(x22763,x22762))
% 204.32/204.33 [2277]~E(x22771,x22772)+E(f31(x22771,x22773,x22774,x22775,x22776,x22777,x22778,x22779,x227710,x227711),f31(x22772,x22773,x22774,x22775,x22776,x22777,x22778,x22779,x227710,x227711))
% 204.32/204.33 [2278]~E(x22781,x22782)+E(f31(x22783,x22781,x22784,x22785,x22786,x22787,x22788,x22789,x227810,x227811),f31(x22783,x22782,x22784,x22785,x22786,x22787,x22788,x22789,x227810,x227811))
% 204.32/204.33 [2279]~E(x22791,x22792)+E(f31(x22793,x22794,x22791,x22795,x22796,x22797,x22798,x22799,x227910,x227911),f31(x22793,x22794,x22792,x22795,x22796,x22797,x22798,x22799,x227910,x227911))
% 204.32/204.33 [2280]~E(x22801,x22802)+E(f31(x22803,x22804,x22805,x22801,x22806,x22807,x22808,x22809,x228010,x228011),f31(x22803,x22804,x22805,x22802,x22806,x22807,x22808,x22809,x228010,x228011))
% 204.32/204.33 [2281]~E(x22811,x22812)+E(f31(x22813,x22814,x22815,x22816,x22811,x22817,x22818,x22819,x228110,x228111),f31(x22813,x22814,x22815,x22816,x22812,x22817,x22818,x22819,x228110,x228111))
% 204.32/204.33 [2282]~E(x22821,x22822)+E(f31(x22823,x22824,x22825,x22826,x22827,x22821,x22828,x22829,x228210,x228211),f31(x22823,x22824,x22825,x22826,x22827,x22822,x22828,x22829,x228210,x228211))
% 204.32/204.33 [2283]~E(x22831,x22832)+E(f31(x22833,x22834,x22835,x22836,x22837,x22838,x22831,x22839,x228310,x228311),f31(x22833,x22834,x22835,x22836,x22837,x22838,x22832,x22839,x228310,x228311))
% 204.32/204.33 [2284]~E(x22841,x22842)+E(f31(x22843,x22844,x22845,x22846,x22847,x22848,x22849,x22841,x228410,x228411),f31(x22843,x22844,x22845,x22846,x22847,x22848,x22849,x22842,x228410,x228411))
% 204.32/204.33 [2285]~E(x22851,x22852)+E(f31(x22853,x22854,x22855,x22856,x22857,x22858,x22859,x228510,x22851,x228511),f31(x22853,x22854,x22855,x22856,x22857,x22858,x22859,x228510,x22852,x228511))
% 204.32/204.33 [2286]~E(x22861,x22862)+E(f31(x22863,x22864,x22865,x22866,x22867,x22868,x22869,x228610,x228611,x22861),f31(x22863,x22864,x22865,x22866,x22867,x22868,x22869,x228610,x228611,x22862))
% 204.32/204.33 [2287]~E(x22871,x22872)+E(f19(x22871,x22873,x22874,x22875),f19(x22872,x22873,x22874,x22875))
% 204.32/204.33 [2288]~E(x22881,x22882)+E(f19(x22883,x22881,x22884,x22885),f19(x22883,x22882,x22884,x22885))
% 204.32/204.33 [2289]~E(x22891,x22892)+E(f19(x22893,x22894,x22891,x22895),f19(x22893,x22894,x22892,x22895))
% 204.32/204.33 [2290]~E(x22901,x22902)+E(f19(x22903,x22904,x22905,x22901),f19(x22903,x22904,x22905,x22902))
% 204.32/204.33 [2291]~E(x22911,x22912)+E(f178(x22911,x22913,x22914),f178(x22912,x22913,x22914))
% 204.32/204.33 [2292]~E(x22921,x22922)+E(f178(x22923,x22921,x22924),f178(x22923,x22922,x22924))
% 204.32/204.33 [2293]~E(x22931,x22932)+E(f178(x22933,x22934,x22931),f178(x22933,x22934,x22932))
% 204.32/204.33 [2294]~E(x22941,x22942)+E(f899(x22941,x22943,x22944,x22945,x22946),f899(x22942,x22943,x22944,x22945,x22946))
% 204.32/204.33 [2295]~E(x22951,x22952)+E(f899(x22953,x22951,x22954,x22955,x22956),f899(x22953,x22952,x22954,x22955,x22956))
% 204.32/204.33 [2296]~E(x22961,x22962)+E(f899(x22963,x22964,x22961,x22965,x22966),f899(x22963,x22964,x22962,x22965,x22966))
% 204.32/204.33 [2297]~E(x22971,x22972)+E(f899(x22973,x22974,x22975,x22971,x22976),f899(x22973,x22974,x22975,x22972,x22976))
% 204.32/204.33 [2298]~E(x22981,x22982)+E(f899(x22983,x22984,x22985,x22986,x22981),f899(x22983,x22984,x22985,x22986,x22982))
% 204.32/204.33 [2299]~E(x22991,x22992)+E(f644(x22991,x22993,x22994),f644(x22992,x22993,x22994))
% 204.32/204.33 [2300]~E(x23001,x23002)+E(f644(x23003,x23001,x23004),f644(x23003,x23002,x23004))
% 204.32/204.33 [2301]~E(x23011,x23012)+E(f644(x23013,x23014,x23011),f644(x23013,x23014,x23012))
% 204.32/204.33 [2302]~E(x23021,x23022)+E(f67(x23021,x23023,x23024),f67(x23022,x23023,x23024))
% 204.32/204.33 [2303]~E(x23031,x23032)+E(f67(x23033,x23031,x23034),f67(x23033,x23032,x23034))
% 204.32/204.33 [2304]~E(x23041,x23042)+E(f67(x23043,x23044,x23041),f67(x23043,x23044,x23042))
% 204.32/204.33 [2305]~E(x23051,x23052)+E(f795(x23051,x23053,x23054,x23055,x23056,x23057,x23058),f795(x23052,x23053,x23054,x23055,x23056,x23057,x23058))
% 204.32/204.33 [2306]~E(x23061,x23062)+E(f795(x23063,x23061,x23064,x23065,x23066,x23067,x23068),f795(x23063,x23062,x23064,x23065,x23066,x23067,x23068))
% 204.32/204.33 [2307]~E(x23071,x23072)+E(f795(x23073,x23074,x23071,x23075,x23076,x23077,x23078),f795(x23073,x23074,x23072,x23075,x23076,x23077,x23078))
% 204.32/204.33 [2308]~E(x23081,x23082)+E(f795(x23083,x23084,x23085,x23081,x23086,x23087,x23088),f795(x23083,x23084,x23085,x23082,x23086,x23087,x23088))
% 204.32/204.33 [2309]~E(x23091,x23092)+E(f795(x23093,x23094,x23095,x23096,x23091,x23097,x23098),f795(x23093,x23094,x23095,x23096,x23092,x23097,x23098))
% 204.32/204.33 [2310]~E(x23101,x23102)+E(f795(x23103,x23104,x23105,x23106,x23107,x23101,x23108),f795(x23103,x23104,x23105,x23106,x23107,x23102,x23108))
% 204.32/204.33 [2311]~E(x23111,x23112)+E(f795(x23113,x23114,x23115,x23116,x23117,x23118,x23111),f795(x23113,x23114,x23115,x23116,x23117,x23118,x23112))
% 204.32/204.33 [2312]~E(x23121,x23122)+E(f511(x23121,x23123,x23124),f511(x23122,x23123,x23124))
% 204.32/204.33 [2313]~E(x23131,x23132)+E(f511(x23133,x23131,x23134),f511(x23133,x23132,x23134))
% 204.32/204.33 [2314]~E(x23141,x23142)+E(f511(x23143,x23144,x23141),f511(x23143,x23144,x23142))
% 204.32/204.33 [2315]~E(x23151,x23152)+E(f681(x23151,x23153,x23154),f681(x23152,x23153,x23154))
% 204.32/204.33 [2316]~E(x23161,x23162)+E(f681(x23163,x23161,x23164),f681(x23163,x23162,x23164))
% 204.32/204.33 [2317]~E(x23171,x23172)+E(f681(x23173,x23174,x23171),f681(x23173,x23174,x23172))
% 204.32/204.33 [2318]~E(x23181,x23182)+E(f732(x23181,x23183,x23184,x23185),f732(x23182,x23183,x23184,x23185))
% 204.32/204.33 [2319]~E(x23191,x23192)+E(f732(x23193,x23191,x23194,x23195),f732(x23193,x23192,x23194,x23195))
% 204.32/204.33 [2320]~E(x23201,x23202)+E(f732(x23203,x23204,x23201,x23205),f732(x23203,x23204,x23202,x23205))
% 204.32/204.33 [2321]~E(x23211,x23212)+E(f732(x23213,x23214,x23215,x23211),f732(x23213,x23214,x23215,x23212))
% 204.32/204.33 [2322]~E(x23221,x23222)+E(f862(x23221,x23223,x23224,x23225,x23226,x23227,x23228,x23229),f862(x23222,x23223,x23224,x23225,x23226,x23227,x23228,x23229))
% 204.32/204.33 [2323]~E(x23231,x23232)+E(f862(x23233,x23231,x23234,x23235,x23236,x23237,x23238,x23239),f862(x23233,x23232,x23234,x23235,x23236,x23237,x23238,x23239))
% 204.32/204.33 [2324]~E(x23241,x23242)+E(f862(x23243,x23244,x23241,x23245,x23246,x23247,x23248,x23249),f862(x23243,x23244,x23242,x23245,x23246,x23247,x23248,x23249))
% 204.32/204.33 [2325]~E(x23251,x23252)+E(f862(x23253,x23254,x23255,x23251,x23256,x23257,x23258,x23259),f862(x23253,x23254,x23255,x23252,x23256,x23257,x23258,x23259))
% 204.32/204.33 [2326]~E(x23261,x23262)+E(f862(x23263,x23264,x23265,x23266,x23261,x23267,x23268,x23269),f862(x23263,x23264,x23265,x23266,x23262,x23267,x23268,x23269))
% 204.32/204.33 [2327]~E(x23271,x23272)+E(f862(x23273,x23274,x23275,x23276,x23277,x23271,x23278,x23279),f862(x23273,x23274,x23275,x23276,x23277,x23272,x23278,x23279))
% 204.32/204.33 [2328]~E(x23281,x23282)+E(f862(x23283,x23284,x23285,x23286,x23287,x23288,x23281,x23289),f862(x23283,x23284,x23285,x23286,x23287,x23288,x23282,x23289))
% 204.32/204.33 [2329]~E(x23291,x23292)+E(f862(x23293,x23294,x23295,x23296,x23297,x23298,x23299,x23291),f862(x23293,x23294,x23295,x23296,x23297,x23298,x23299,x23292))
% 204.32/204.33 [2330]~E(x23301,x23302)+E(f273(x23301,x23303),f273(x23302,x23303))
% 204.32/204.33 [2331]~E(x23311,x23312)+E(f273(x23313,x23311),f273(x23313,x23312))
% 204.32/204.33 [2332]~E(x23321,x23322)+E(f605(x23321,x23323,x23324,x23325,x23326,x23327),f605(x23322,x23323,x23324,x23325,x23326,x23327))
% 204.32/204.33 [2333]~E(x23331,x23332)+E(f605(x23333,x23331,x23334,x23335,x23336,x23337),f605(x23333,x23332,x23334,x23335,x23336,x23337))
% 204.32/204.33 [2334]~E(x23341,x23342)+E(f605(x23343,x23344,x23341,x23345,x23346,x23347),f605(x23343,x23344,x23342,x23345,x23346,x23347))
% 204.32/204.33 [2335]~E(x23351,x23352)+E(f605(x23353,x23354,x23355,x23351,x23356,x23357),f605(x23353,x23354,x23355,x23352,x23356,x23357))
% 204.32/204.33 [2336]~E(x23361,x23362)+E(f605(x23363,x23364,x23365,x23366,x23361,x23367),f605(x23363,x23364,x23365,x23366,x23362,x23367))
% 204.32/204.33 [2337]~E(x23371,x23372)+E(f605(x23373,x23374,x23375,x23376,x23377,x23371),f605(x23373,x23374,x23375,x23376,x23377,x23372))
% 204.32/204.33 [2338]~E(x23381,x23382)+E(f449(x23381,x23383),f449(x23382,x23383))
% 204.32/204.33 [2339]~E(x23391,x23392)+E(f449(x23393,x23391),f449(x23393,x23392))
% 204.32/204.33 [2340]~E(x23401,x23402)+E(f401(x23401,x23403,x23404,x23405),f401(x23402,x23403,x23404,x23405))
% 204.32/204.33 [2341]~E(x23411,x23412)+E(f401(x23413,x23411,x23414,x23415),f401(x23413,x23412,x23414,x23415))
% 204.32/204.33 [2342]~E(x23421,x23422)+E(f401(x23423,x23424,x23421,x23425),f401(x23423,x23424,x23422,x23425))
% 204.32/204.33 [2343]~E(x23431,x23432)+E(f401(x23433,x23434,x23435,x23431),f401(x23433,x23434,x23435,x23432))
% 204.32/204.33 [2344]~E(x23441,x23442)+E(f348(x23441,x23443),f348(x23442,x23443))
% 204.32/204.33 [2345]~E(x23451,x23452)+E(f348(x23453,x23451),f348(x23453,x23452))
% 204.32/204.34 [2346]~E(x23461,x23462)+E(f781(x23461,x23463,x23464),f781(x23462,x23463,x23464))
% 204.32/204.34 [2347]~E(x23471,x23472)+E(f781(x23473,x23471,x23474),f781(x23473,x23472,x23474))
% 204.32/204.34 [2348]~E(x23481,x23482)+E(f781(x23483,x23484,x23481),f781(x23483,x23484,x23482))
% 204.32/204.34 [2349]~E(x23491,x23492)+E(f455(x23491,x23493,x23494),f455(x23492,x23493,x23494))
% 204.32/204.34 [2350]~E(x23501,x23502)+E(f455(x23503,x23501,x23504),f455(x23503,x23502,x23504))
% 204.32/204.34 [2351]~E(x23511,x23512)+E(f455(x23513,x23514,x23511),f455(x23513,x23514,x23512))
% 204.32/204.34 [2352]~E(x23521,x23522)+E(f919(x23521,x23523,x23524),f919(x23522,x23523,x23524))
% 204.32/204.34 [2353]~E(x23531,x23532)+E(f919(x23533,x23531,x23534),f919(x23533,x23532,x23534))
% 204.32/204.34 [2354]~E(x23541,x23542)+E(f919(x23543,x23544,x23541),f919(x23543,x23544,x23542))
% 204.32/204.34 [2355]~E(x23551,x23552)+E(f98(x23551,x23553,x23554,x23555),f98(x23552,x23553,x23554,x23555))
% 204.32/204.34 [2356]~E(x23561,x23562)+E(f98(x23563,x23561,x23564,x23565),f98(x23563,x23562,x23564,x23565))
% 204.32/204.34 [2357]~E(x23571,x23572)+E(f98(x23573,x23574,x23571,x23575),f98(x23573,x23574,x23572,x23575))
% 204.32/204.34 [2358]~E(x23581,x23582)+E(f98(x23583,x23584,x23585,x23581),f98(x23583,x23584,x23585,x23582))
% 204.32/204.34 [2359]~E(x23591,x23592)+E(f763(x23591,x23593,x23594),f763(x23592,x23593,x23594))
% 204.32/204.34 [2360]~E(x23601,x23602)+E(f763(x23603,x23601,x23604),f763(x23603,x23602,x23604))
% 204.32/204.34 [2361]~E(x23611,x23612)+E(f763(x23613,x23614,x23611),f763(x23613,x23614,x23612))
% 204.32/204.34 [2362]~E(x23621,x23622)+E(f538(x23621,x23623,x23624,x23625,x23626),f538(x23622,x23623,x23624,x23625,x23626))
% 204.32/204.34 [2363]~E(x23631,x23632)+E(f538(x23633,x23631,x23634,x23635,x23636),f538(x23633,x23632,x23634,x23635,x23636))
% 204.32/204.34 [2364]~E(x23641,x23642)+E(f538(x23643,x23644,x23641,x23645,x23646),f538(x23643,x23644,x23642,x23645,x23646))
% 204.32/204.34 [2365]~E(x23651,x23652)+E(f538(x23653,x23654,x23655,x23651,x23656),f538(x23653,x23654,x23655,x23652,x23656))
% 204.32/204.34 [2366]~E(x23661,x23662)+E(f538(x23663,x23664,x23665,x23666,x23661),f538(x23663,x23664,x23665,x23666,x23662))
% 204.32/204.34 [2367]~E(x23671,x23672)+E(f691(x23671,x23673,x23674),f691(x23672,x23673,x23674))
% 204.32/204.34 [2368]~E(x23681,x23682)+E(f691(x23683,x23681,x23684),f691(x23683,x23682,x23684))
% 204.32/204.34 [2369]~E(x23691,x23692)+E(f691(x23693,x23694,x23691),f691(x23693,x23694,x23692))
% 204.32/204.34 [2370]~E(x23701,x23702)+E(f97(x23701,x23703,x23704),f97(x23702,x23703,x23704))
% 204.32/204.34 [2371]~E(x23711,x23712)+E(f97(x23713,x23711,x23714),f97(x23713,x23712,x23714))
% 204.32/204.34 [2372]~E(x23721,x23722)+E(f97(x23723,x23724,x23721),f97(x23723,x23724,x23722))
% 204.32/204.34 [2373]~E(x23731,x23732)+E(f344(x23731,x23733,x23734,x23735,x23736),f344(x23732,x23733,x23734,x23735,x23736))
% 204.32/204.34 [2374]~E(x23741,x23742)+E(f344(x23743,x23741,x23744,x23745,x23746),f344(x23743,x23742,x23744,x23745,x23746))
% 204.32/204.34 [2375]~E(x23751,x23752)+E(f344(x23753,x23754,x23751,x23755,x23756),f344(x23753,x23754,x23752,x23755,x23756))
% 204.32/204.34 [2376]~E(x23761,x23762)+E(f344(x23763,x23764,x23765,x23761,x23766),f344(x23763,x23764,x23765,x23762,x23766))
% 204.32/204.34 [2377]~E(x23771,x23772)+E(f344(x23773,x23774,x23775,x23776,x23771),f344(x23773,x23774,x23775,x23776,x23772))
% 204.32/204.34 [2378]~E(x23781,x23782)+E(f351(x23781,x23783,x23784,x23785,x23786),f351(x23782,x23783,x23784,x23785,x23786))
% 204.32/204.34 [2379]~E(x23791,x23792)+E(f351(x23793,x23791,x23794,x23795,x23796),f351(x23793,x23792,x23794,x23795,x23796))
% 204.32/204.34 [2380]~E(x23801,x23802)+E(f351(x23803,x23804,x23801,x23805,x23806),f351(x23803,x23804,x23802,x23805,x23806))
% 204.32/204.34 [2381]~E(x23811,x23812)+E(f351(x23813,x23814,x23815,x23811,x23816),f351(x23813,x23814,x23815,x23812,x23816))
% 204.32/204.34 [2382]~E(x23821,x23822)+E(f351(x23823,x23824,x23825,x23826,x23821),f351(x23823,x23824,x23825,x23826,x23822))
% 204.32/204.34 [2383]~E(x23831,x23832)+E(f345(x23831,x23833,x23834,x23835,x23836),f345(x23832,x23833,x23834,x23835,x23836))
% 204.32/204.34 [2384]~E(x23841,x23842)+E(f345(x23843,x23841,x23844,x23845,x23846),f345(x23843,x23842,x23844,x23845,x23846))
% 204.32/204.34 [2385]~E(x23851,x23852)+E(f345(x23853,x23854,x23851,x23855,x23856),f345(x23853,x23854,x23852,x23855,x23856))
% 204.32/204.34 [2386]~E(x23861,x23862)+E(f345(x23863,x23864,x23865,x23861,x23866),f345(x23863,x23864,x23865,x23862,x23866))
% 204.32/204.34 [2387]~E(x23871,x23872)+E(f345(x23873,x23874,x23875,x23876,x23871),f345(x23873,x23874,x23875,x23876,x23872))
% 204.32/204.34 [2388]~E(x23881,x23882)+E(f557(x23881,x23883),f557(x23882,x23883))
% 204.32/204.34 [2389]~E(x23891,x23892)+E(f557(x23893,x23891),f557(x23893,x23892))
% 204.32/204.34 [2390]~E(x23901,x23902)+E(f689(x23901,x23903,x23904,x23905),f689(x23902,x23903,x23904,x23905))
% 204.32/204.34 [2391]~E(x23911,x23912)+E(f689(x23913,x23911,x23914,x23915),f689(x23913,x23912,x23914,x23915))
% 204.32/204.34 [2392]~E(x23921,x23922)+E(f689(x23923,x23924,x23921,x23925),f689(x23923,x23924,x23922,x23925))
% 204.32/204.34 [2393]~E(x23931,x23932)+E(f689(x23933,x23934,x23935,x23931),f689(x23933,x23934,x23935,x23932))
% 204.32/204.34 [2394]~E(x23941,x23942)+E(f584(x23941,x23943),f584(x23942,x23943))
% 204.32/204.34 [2395]~E(x23951,x23952)+E(f584(x23953,x23951),f584(x23953,x23952))
% 204.32/204.34 [2396]~E(x23961,x23962)+E(f837(x23961,x23963,x23964,x23965,x23966),f837(x23962,x23963,x23964,x23965,x23966))
% 204.32/204.34 [2397]~E(x23971,x23972)+E(f837(x23973,x23971,x23974,x23975,x23976),f837(x23973,x23972,x23974,x23975,x23976))
% 204.32/204.34 [2398]~E(x23981,x23982)+E(f837(x23983,x23984,x23981,x23985,x23986),f837(x23983,x23984,x23982,x23985,x23986))
% 204.32/204.34 [2399]~E(x23991,x23992)+E(f837(x23993,x23994,x23995,x23991,x23996),f837(x23993,x23994,x23995,x23992,x23996))
% 204.32/204.34 [2400]~E(x24001,x24002)+E(f837(x24003,x24004,x24005,x24006,x24001),f837(x24003,x24004,x24005,x24006,x24002))
% 204.32/204.34 [2401]~E(x24011,x24012)+E(f845(x24011,x24013,x24014,x24015),f845(x24012,x24013,x24014,x24015))
% 204.32/204.34 [2402]~E(x24021,x24022)+E(f845(x24023,x24021,x24024,x24025),f845(x24023,x24022,x24024,x24025))
% 204.32/204.34 [2403]~E(x24031,x24032)+E(f845(x24033,x24034,x24031,x24035),f845(x24033,x24034,x24032,x24035))
% 204.32/204.34 [2404]~E(x24041,x24042)+E(f845(x24043,x24044,x24045,x24041),f845(x24043,x24044,x24045,x24042))
% 204.32/204.34 [2405]~E(x24051,x24052)+E(f209(x24051),f209(x24052))
% 204.32/204.34 [2406]~E(x24061,x24062)+E(f513(x24061,x24063),f513(x24062,x24063))
% 204.32/204.34 [2407]~E(x24071,x24072)+E(f513(x24073,x24071),f513(x24073,x24072))
% 204.32/204.34 [2408]~E(x24081,x24082)+E(f464(x24081,x24083),f464(x24082,x24083))
% 204.32/204.34 [2409]~E(x24091,x24092)+E(f464(x24093,x24091),f464(x24093,x24092))
% 204.32/204.34 [2410]~E(x24101,x24102)+E(f743(x24101,x24103,x24104,x24105),f743(x24102,x24103,x24104,x24105))
% 204.32/204.34 [2411]~E(x24111,x24112)+E(f743(x24113,x24111,x24114,x24115),f743(x24113,x24112,x24114,x24115))
% 204.32/204.34 [2412]~E(x24121,x24122)+E(f743(x24123,x24124,x24121,x24125),f743(x24123,x24124,x24122,x24125))
% 204.32/204.34 [2413]~E(x24131,x24132)+E(f743(x24133,x24134,x24135,x24131),f743(x24133,x24134,x24135,x24132))
% 204.32/204.34 [2414]~E(x24141,x24142)+E(f219(x24141,x24143),f219(x24142,x24143))
% 204.32/204.34 [2415]~E(x24151,x24152)+E(f219(x24153,x24151),f219(x24153,x24152))
% 204.32/204.34 [2416]~E(x24161,x24162)+E(f353(x24161,x24163,x24164),f353(x24162,x24163,x24164))
% 204.32/204.34 [2417]~E(x24171,x24172)+E(f353(x24173,x24171,x24174),f353(x24173,x24172,x24174))
% 204.32/204.34 [2418]~E(x24181,x24182)+E(f353(x24183,x24184,x24181),f353(x24183,x24184,x24182))
% 204.32/204.34 [2419]~E(x24191,x24192)+E(f404(x24191,x24193,x24194,x24195),f404(x24192,x24193,x24194,x24195))
% 204.32/204.34 [2420]~E(x24201,x24202)+E(f404(x24203,x24201,x24204,x24205),f404(x24203,x24202,x24204,x24205))
% 204.32/204.34 [2421]~E(x24211,x24212)+E(f404(x24213,x24214,x24211,x24215),f404(x24213,x24214,x24212,x24215))
% 204.32/204.34 [2422]~E(x24221,x24222)+E(f404(x24223,x24224,x24225,x24221),f404(x24223,x24224,x24225,x24222))
% 204.32/204.34 [2423]~E(x24231,x24232)+E(f900(x24231,x24233,x24234,x24235,x24236,x24237,x24238),f900(x24232,x24233,x24234,x24235,x24236,x24237,x24238))
% 204.32/204.34 [2424]~E(x24241,x24242)+E(f900(x24243,x24241,x24244,x24245,x24246,x24247,x24248),f900(x24243,x24242,x24244,x24245,x24246,x24247,x24248))
% 204.32/204.34 [2425]~E(x24251,x24252)+E(f900(x24253,x24254,x24251,x24255,x24256,x24257,x24258),f900(x24253,x24254,x24252,x24255,x24256,x24257,x24258))
% 204.32/204.34 [2426]~E(x24261,x24262)+E(f900(x24263,x24264,x24265,x24261,x24266,x24267,x24268),f900(x24263,x24264,x24265,x24262,x24266,x24267,x24268))
% 204.32/204.34 [2427]~E(x24271,x24272)+E(f900(x24273,x24274,x24275,x24276,x24271,x24277,x24278),f900(x24273,x24274,x24275,x24276,x24272,x24277,x24278))
% 204.32/204.34 [2428]~E(x24281,x24282)+E(f900(x24283,x24284,x24285,x24286,x24287,x24281,x24288),f900(x24283,x24284,x24285,x24286,x24287,x24282,x24288))
% 204.32/204.34 [2429]~E(x24291,x24292)+E(f900(x24293,x24294,x24295,x24296,x24297,x24298,x24291),f900(x24293,x24294,x24295,x24296,x24297,x24298,x24292))
% 204.32/204.34 [2430]~E(x24301,x24302)+E(f871(x24301,x24303,x24304,x24305,x24306),f871(x24302,x24303,x24304,x24305,x24306))
% 204.32/204.34 [2431]~E(x24311,x24312)+E(f871(x24313,x24311,x24314,x24315,x24316),f871(x24313,x24312,x24314,x24315,x24316))
% 204.32/204.34 [2432]~E(x24321,x24322)+E(f871(x24323,x24324,x24321,x24325,x24326),f871(x24323,x24324,x24322,x24325,x24326))
% 204.32/204.34 [2433]~E(x24331,x24332)+E(f871(x24333,x24334,x24335,x24331,x24336),f871(x24333,x24334,x24335,x24332,x24336))
% 204.32/204.34 [2434]~E(x24341,x24342)+E(f871(x24343,x24344,x24345,x24346,x24341),f871(x24343,x24344,x24345,x24346,x24342))
% 204.32/204.34 [2435]~E(x24351,x24352)+E(f712(x24351,x24353,x24354),f712(x24352,x24353,x24354))
% 204.32/204.34 [2436]~E(x24361,x24362)+E(f712(x24363,x24361,x24364),f712(x24363,x24362,x24364))
% 204.32/204.34 [2437]~E(x24371,x24372)+E(f712(x24373,x24374,x24371),f712(x24373,x24374,x24372))
% 204.32/204.34 [2438]~E(x24381,x24382)+E(f510(x24381,x24383,x24384),f510(x24382,x24383,x24384))
% 204.32/204.34 [2439]~E(x24391,x24392)+E(f510(x24393,x24391,x24394),f510(x24393,x24392,x24394))
% 204.32/204.34 [2440]~E(x24401,x24402)+E(f510(x24403,x24404,x24401),f510(x24403,x24404,x24402))
% 204.32/204.34 [2441]~E(x24411,x24412)+E(f377(x24411),f377(x24412))
% 204.32/204.34 [2442]~E(x24421,x24422)+E(f688(x24421,x24423,x24424,x24425,x24426),f688(x24422,x24423,x24424,x24425,x24426))
% 204.32/204.34 [2443]~E(x24431,x24432)+E(f688(x24433,x24431,x24434,x24435,x24436),f688(x24433,x24432,x24434,x24435,x24436))
% 204.32/204.34 [2444]~E(x24441,x24442)+E(f688(x24443,x24444,x24441,x24445,x24446),f688(x24443,x24444,x24442,x24445,x24446))
% 204.32/204.34 [2445]~E(x24451,x24452)+E(f688(x24453,x24454,x24455,x24451,x24456),f688(x24453,x24454,x24455,x24452,x24456))
% 204.32/204.34 [2446]~E(x24461,x24462)+E(f688(x24463,x24464,x24465,x24466,x24461),f688(x24463,x24464,x24465,x24466,x24462))
% 204.32/204.34 [2447]~E(x24471,x24472)+E(f802(x24471,x24473,x24474,x24475),f802(x24472,x24473,x24474,x24475))
% 204.32/204.34 [2448]~E(x24481,x24482)+E(f802(x24483,x24481,x24484,x24485),f802(x24483,x24482,x24484,x24485))
% 204.32/204.34 [2449]~E(x24491,x24492)+E(f802(x24493,x24494,x24491,x24495),f802(x24493,x24494,x24492,x24495))
% 204.32/204.34 [2450]~E(x24501,x24502)+E(f802(x24503,x24504,x24505,x24501),f802(x24503,x24504,x24505,x24502))
% 204.32/204.34 [2451]~E(x24511,x24512)+E(f783(x24511,x24513,x24514,x24515,x24516),f783(x24512,x24513,x24514,x24515,x24516))
% 204.32/204.34 [2452]~E(x24521,x24522)+E(f783(x24523,x24521,x24524,x24525,x24526),f783(x24523,x24522,x24524,x24525,x24526))
% 204.32/204.34 [2453]~E(x24531,x24532)+E(f783(x24533,x24534,x24531,x24535,x24536),f783(x24533,x24534,x24532,x24535,x24536))
% 204.32/204.34 [2454]~E(x24541,x24542)+E(f783(x24543,x24544,x24545,x24541,x24546),f783(x24543,x24544,x24545,x24542,x24546))
% 204.32/204.34 [2455]~E(x24551,x24552)+E(f783(x24553,x24554,x24555,x24556,x24551),f783(x24553,x24554,x24555,x24556,x24552))
% 204.32/204.34 [2456]~E(x24561,x24562)+E(f638(x24561,x24563),f638(x24562,x24563))
% 204.32/204.34 [2457]~E(x24571,x24572)+E(f638(x24573,x24571),f638(x24573,x24572))
% 204.32/204.34 [2458]~E(x24581,x24582)+E(f704(x24581,x24583,x24584,x24585,x24586),f704(x24582,x24583,x24584,x24585,x24586))
% 204.32/204.34 [2459]~E(x24591,x24592)+E(f704(x24593,x24591,x24594,x24595,x24596),f704(x24593,x24592,x24594,x24595,x24596))
% 204.32/204.34 [2460]~E(x24601,x24602)+E(f704(x24603,x24604,x24601,x24605,x24606),f704(x24603,x24604,x24602,x24605,x24606))
% 204.32/204.34 [2461]~E(x24611,x24612)+E(f704(x24613,x24614,x24615,x24611,x24616),f704(x24613,x24614,x24615,x24612,x24616))
% 204.32/204.34 [2462]~E(x24621,x24622)+E(f704(x24623,x24624,x24625,x24626,x24621),f704(x24623,x24624,x24625,x24626,x24622))
% 204.32/204.34 [2463]~E(x24631,x24632)+E(f554(x24631,x24633),f554(x24632,x24633))
% 204.32/204.34 [2464]~E(x24641,x24642)+E(f554(x24643,x24641),f554(x24643,x24642))
% 204.32/204.34 [2465]~E(x24651,x24652)+E(f21(x24651,x24653),f21(x24652,x24653))
% 204.32/204.34 [2466]~E(x24661,x24662)+E(f21(x24663,x24661),f21(x24663,x24662))
% 204.32/204.34 [2467]~E(x24671,x24672)+E(f336(x24671),f336(x24672))
% 204.32/204.34 [2468]~E(x24681,x24682)+E(f831(x24681,x24683),f831(x24682,x24683))
% 204.32/204.34 [2469]~E(x24691,x24692)+E(f831(x24693,x24691),f831(x24693,x24692))
% 204.32/204.34 [2470]~E(x24701,x24702)+E(f541(x24701,x24703,x24704),f541(x24702,x24703,x24704))
% 204.32/204.34 [2471]~E(x24711,x24712)+E(f541(x24713,x24711,x24714),f541(x24713,x24712,x24714))
% 204.32/204.34 [2472]~E(x24721,x24722)+E(f541(x24723,x24724,x24721),f541(x24723,x24724,x24722))
% 204.32/204.34 [2473]~E(x24731,x24732)+E(f885(x24731,x24733,x24734),f885(x24732,x24733,x24734))
% 204.32/204.34 [2474]~E(x24741,x24742)+E(f885(x24743,x24741,x24744),f885(x24743,x24742,x24744))
% 204.32/204.34 [2475]~E(x24751,x24752)+E(f885(x24753,x24754,x24751),f885(x24753,x24754,x24752))
% 204.32/204.34 [2476]~E(x24761,x24762)+E(f572(x24761,x24763),f572(x24762,x24763))
% 204.32/204.34 [2477]~E(x24771,x24772)+E(f572(x24773,x24771),f572(x24773,x24772))
% 204.32/204.34 [2478]~E(x24781,x24782)+E(f394(x24781,x24783),f394(x24782,x24783))
% 204.32/204.34 [2479]~E(x24791,x24792)+E(f394(x24793,x24791),f394(x24793,x24792))
% 204.32/204.34 [2480]~E(x24801,x24802)+E(f676(x24801,x24803,x24804,x24805),f676(x24802,x24803,x24804,x24805))
% 204.32/204.34 [2481]~E(x24811,x24812)+E(f676(x24813,x24811,x24814,x24815),f676(x24813,x24812,x24814,x24815))
% 204.32/204.34 [2482]~E(x24821,x24822)+E(f676(x24823,x24824,x24821,x24825),f676(x24823,x24824,x24822,x24825))
% 204.32/204.34 [2483]~E(x24831,x24832)+E(f676(x24833,x24834,x24835,x24831),f676(x24833,x24834,x24835,x24832))
% 204.32/204.34 [2484]~E(x24841,x24842)+E(f471(x24841,x24843,x24844),f471(x24842,x24843,x24844))
% 204.32/204.34 [2485]~E(x24851,x24852)+E(f471(x24853,x24851,x24854),f471(x24853,x24852,x24854))
% 204.32/204.34 [2486]~E(x24861,x24862)+E(f471(x24863,x24864,x24861),f471(x24863,x24864,x24862))
% 204.32/204.34 [2487]~E(x24871,x24872)+E(f590(x24871,x24873,x24874),f590(x24872,x24873,x24874))
% 204.32/204.34 [2488]~E(x24881,x24882)+E(f590(x24883,x24881,x24884),f590(x24883,x24882,x24884))
% 204.32/204.34 [2489]~E(x24891,x24892)+E(f590(x24893,x24894,x24891),f590(x24893,x24894,x24892))
% 204.32/204.34 [2490]~E(x24901,x24902)+E(f486(x24901,x24903),f486(x24902,x24903))
% 204.32/204.34 [2491]~E(x24911,x24912)+E(f486(x24913,x24911),f486(x24913,x24912))
% 204.32/204.34 [2492]~E(x24921,x24922)+E(f747(x24921,x24923),f747(x24922,x24923))
% 204.32/204.34 [2493]~E(x24931,x24932)+E(f747(x24933,x24931),f747(x24933,x24932))
% 204.32/204.34 [2494]~E(x24941,x24942)+E(f517(x24941,x24943,x24944),f517(x24942,x24943,x24944))
% 204.32/204.34 [2495]~E(x24951,x24952)+E(f517(x24953,x24951,x24954),f517(x24953,x24952,x24954))
% 204.32/204.34 [2496]~E(x24961,x24962)+E(f517(x24963,x24964,x24961),f517(x24963,x24964,x24962))
% 204.32/204.34 [2497]~E(x24971,x24972)+E(f42(x24971),f42(x24972))
% 204.32/204.34 [2498]~E(x24981,x24982)+E(f838(x24981,x24983,x24984),f838(x24982,x24983,x24984))
% 204.32/204.34 [2499]~E(x24991,x24992)+E(f838(x24993,x24991,x24994),f838(x24993,x24992,x24994))
% 204.32/204.34 [2500]~E(x25001,x25002)+E(f838(x25003,x25004,x25001),f838(x25003,x25004,x25002))
% 204.32/204.34 [2501]~E(x25011,x25012)+E(f505(x25011,x25013,x25014),f505(x25012,x25013,x25014))
% 204.32/204.34 [2502]~E(x25021,x25022)+E(f505(x25023,x25021,x25024),f505(x25023,x25022,x25024))
% 204.32/204.34 [2503]~E(x25031,x25032)+E(f505(x25033,x25034,x25031),f505(x25033,x25034,x25032))
% 204.32/204.34 [2504]~E(x25041,x25042)+E(f811(x25041,x25043),f811(x25042,x25043))
% 204.32/204.34 [2505]~E(x25051,x25052)+E(f811(x25053,x25051),f811(x25053,x25052))
% 204.32/204.34 [2506]~E(x25061,x25062)+E(f807(x25061,x25063,x25064,x25065),f807(x25062,x25063,x25064,x25065))
% 204.32/204.34 [2507]~E(x25071,x25072)+E(f807(x25073,x25071,x25074,x25075),f807(x25073,x25072,x25074,x25075))
% 204.32/204.34 [2508]~E(x25081,x25082)+E(f807(x25083,x25084,x25081,x25085),f807(x25083,x25084,x25082,x25085))
% 204.32/204.34 [2509]~E(x25091,x25092)+E(f807(x25093,x25094,x25095,x25091),f807(x25093,x25094,x25095,x25092))
% 204.32/204.34 [2510]~E(x25101,x25102)+E(f767(x25101,x25103,x25104),f767(x25102,x25103,x25104))
% 204.32/204.34 [2511]~E(x25111,x25112)+E(f767(x25113,x25111,x25114),f767(x25113,x25112,x25114))
% 204.32/204.34 [2512]~E(x25121,x25122)+E(f767(x25123,x25124,x25121),f767(x25123,x25124,x25122))
% 204.32/204.34 [2513]~E(x25131,x25132)+E(f754(x25131,x25133,x25134,x25135,x25136),f754(x25132,x25133,x25134,x25135,x25136))
% 204.32/204.34 [2514]~E(x25141,x25142)+E(f754(x25143,x25141,x25144,x25145,x25146),f754(x25143,x25142,x25144,x25145,x25146))
% 204.32/204.34 [2515]~E(x25151,x25152)+E(f754(x25153,x25154,x25151,x25155,x25156),f754(x25153,x25154,x25152,x25155,x25156))
% 204.32/204.34 [2516]~E(x25161,x25162)+E(f754(x25163,x25164,x25165,x25161,x25166),f754(x25163,x25164,x25165,x25162,x25166))
% 204.32/204.34 [2517]~E(x25171,x25172)+E(f754(x25173,x25174,x25175,x25176,x25171),f754(x25173,x25174,x25175,x25176,x25172))
% 204.32/204.34 [2518]~E(x25181,x25182)+E(f498(x25181,x25183,x25184),f498(x25182,x25183,x25184))
% 204.32/204.34 [2519]~E(x25191,x25192)+E(f498(x25193,x25191,x25194),f498(x25193,x25192,x25194))
% 204.32/204.34 [2520]~E(x25201,x25202)+E(f498(x25203,x25204,x25201),f498(x25203,x25204,x25202))
% 204.32/204.34 [2521]~E(x25211,x25212)+E(f470(x25211,x25213,x25214),f470(x25212,x25213,x25214))
% 204.32/204.34 [2522]~E(x25221,x25222)+E(f470(x25223,x25221,x25224),f470(x25223,x25222,x25224))
% 204.32/204.34 [2523]~E(x25231,x25232)+E(f470(x25233,x25234,x25231),f470(x25233,x25234,x25232))
% 204.32/204.34 [2524]~E(x25241,x25242)+E(f774(x25241,x25243,x25244),f774(x25242,x25243,x25244))
% 204.32/204.34 [2525]~E(x25251,x25252)+E(f774(x25253,x25251,x25254),f774(x25253,x25252,x25254))
% 204.32/204.34 [2526]~E(x25261,x25262)+E(f774(x25263,x25264,x25261),f774(x25263,x25264,x25262))
% 204.32/204.34 [2527]~E(x25271,x25272)+E(f736(x25271,x25273,x25274,x25275),f736(x25272,x25273,x25274,x25275))
% 204.32/204.34 [2528]~E(x25281,x25282)+E(f736(x25283,x25281,x25284,x25285),f736(x25283,x25282,x25284,x25285))
% 204.32/204.34 [2529]~E(x25291,x25292)+E(f736(x25293,x25294,x25291,x25295),f736(x25293,x25294,x25292,x25295))
% 204.32/204.34 [2530]~E(x25301,x25302)+E(f736(x25303,x25304,x25305,x25301),f736(x25303,x25304,x25305,x25302))
% 204.32/204.34 [2531]~E(x25311,x25312)+E(f860(x25311,x25313,x25314,x25315,x25316,x25317,x25318,x25319),f860(x25312,x25313,x25314,x25315,x25316,x25317,x25318,x25319))
% 204.32/204.34 [2532]~E(x25321,x25322)+E(f860(x25323,x25321,x25324,x25325,x25326,x25327,x25328,x25329),f860(x25323,x25322,x25324,x25325,x25326,x25327,x25328,x25329))
% 204.32/204.34 [2533]~E(x25331,x25332)+E(f860(x25333,x25334,x25331,x25335,x25336,x25337,x25338,x25339),f860(x25333,x25334,x25332,x25335,x25336,x25337,x25338,x25339))
% 204.32/204.34 [2534]~E(x25341,x25342)+E(f860(x25343,x25344,x25345,x25341,x25346,x25347,x25348,x25349),f860(x25343,x25344,x25345,x25342,x25346,x25347,x25348,x25349))
% 204.32/204.34 [2535]~E(x25351,x25352)+E(f860(x25353,x25354,x25355,x25356,x25351,x25357,x25358,x25359),f860(x25353,x25354,x25355,x25356,x25352,x25357,x25358,x25359))
% 204.32/204.34 [2536]~E(x25361,x25362)+E(f860(x25363,x25364,x25365,x25366,x25367,x25361,x25368,x25369),f860(x25363,x25364,x25365,x25366,x25367,x25362,x25368,x25369))
% 204.32/204.34 [2537]~E(x25371,x25372)+E(f860(x25373,x25374,x25375,x25376,x25377,x25378,x25371,x25379),f860(x25373,x25374,x25375,x25376,x25377,x25378,x25372,x25379))
% 204.32/204.34 [2538]~E(x25381,x25382)+E(f860(x25383,x25384,x25385,x25386,x25387,x25388,x25389,x25381),f860(x25383,x25384,x25385,x25386,x25387,x25388,x25389,x25382))
% 204.32/204.34 [2539]~E(x25391,x25392)+E(f347(x25391,x25393),f347(x25392,x25393))
% 204.32/204.34 [2540]~E(x25401,x25402)+E(f347(x25403,x25401),f347(x25403,x25402))
% 204.32/204.34 [2541]~E(x25411,x25412)+E(f722(x25411,x25413,x25414),f722(x25412,x25413,x25414))
% 204.32/204.34 [2542]~E(x25421,x25422)+E(f722(x25423,x25421,x25424),f722(x25423,x25422,x25424))
% 204.32/204.34 [2543]~E(x25431,x25432)+E(f722(x25433,x25434,x25431),f722(x25433,x25434,x25432))
% 204.32/204.34 [2544]~E(x25441,x25442)+E(f855(x25441,x25443,x25444,x25445,x25446,x25447,x25448,x25449),f855(x25442,x25443,x25444,x25445,x25446,x25447,x25448,x25449))
% 204.32/204.34 [2545]~E(x25451,x25452)+E(f855(x25453,x25451,x25454,x25455,x25456,x25457,x25458,x25459),f855(x25453,x25452,x25454,x25455,x25456,x25457,x25458,x25459))
% 204.32/204.34 [2546]~E(x25461,x25462)+E(f855(x25463,x25464,x25461,x25465,x25466,x25467,x25468,x25469),f855(x25463,x25464,x25462,x25465,x25466,x25467,x25468,x25469))
% 204.32/204.34 [2547]~E(x25471,x25472)+E(f855(x25473,x25474,x25475,x25471,x25476,x25477,x25478,x25479),f855(x25473,x25474,x25475,x25472,x25476,x25477,x25478,x25479))
% 204.32/204.34 [2548]~E(x25481,x25482)+E(f855(x25483,x25484,x25485,x25486,x25481,x25487,x25488,x25489),f855(x25483,x25484,x25485,x25486,x25482,x25487,x25488,x25489))
% 204.32/204.34 [2549]~E(x25491,x25492)+E(f855(x25493,x25494,x25495,x25496,x25497,x25491,x25498,x25499),f855(x25493,x25494,x25495,x25496,x25497,x25492,x25498,x25499))
% 204.32/204.34 [2550]~E(x25501,x25502)+E(f855(x25503,x25504,x25505,x25506,x25507,x25508,x25501,x25509),f855(x25503,x25504,x25505,x25506,x25507,x25508,x25502,x25509))
% 204.32/204.34 [2551]~E(x25511,x25512)+E(f855(x25513,x25514,x25515,x25516,x25517,x25518,x25519,x25511),f855(x25513,x25514,x25515,x25516,x25517,x25518,x25519,x25512))
% 204.32/204.34 [2552]~E(x25521,x25522)+E(f501(x25521,x25523,x25524,x25525,x25526,x25527),f501(x25522,x25523,x25524,x25525,x25526,x25527))
% 204.32/204.34 [2553]~E(x25531,x25532)+E(f501(x25533,x25531,x25534,x25535,x25536,x25537),f501(x25533,x25532,x25534,x25535,x25536,x25537))
% 204.32/204.34 [2554]~E(x25541,x25542)+E(f501(x25543,x25544,x25541,x25545,x25546,x25547),f501(x25543,x25544,x25542,x25545,x25546,x25547))
% 204.32/204.34 [2555]~E(x25551,x25552)+E(f501(x25553,x25554,x25555,x25551,x25556,x25557),f501(x25553,x25554,x25555,x25552,x25556,x25557))
% 204.32/204.34 [2556]~E(x25561,x25562)+E(f501(x25563,x25564,x25565,x25566,x25561,x25567),f501(x25563,x25564,x25565,x25566,x25562,x25567))
% 204.32/204.34 [2557]~E(x25571,x25572)+E(f501(x25573,x25574,x25575,x25576,x25577,x25571),f501(x25573,x25574,x25575,x25576,x25577,x25572))
% 204.32/204.34 [2558]~E(x25581,x25582)+E(f409(x25581,x25583,x25584,x25585),f409(x25582,x25583,x25584,x25585))
% 204.32/204.34 [2559]~E(x25591,x25592)+E(f409(x25593,x25591,x25594,x25595),f409(x25593,x25592,x25594,x25595))
% 204.32/204.34 [2560]~E(x25601,x25602)+E(f409(x25603,x25604,x25601,x25605),f409(x25603,x25604,x25602,x25605))
% 204.32/204.34 [2561]~E(x25611,x25612)+E(f409(x25613,x25614,x25615,x25611),f409(x25613,x25614,x25615,x25612))
% 204.32/204.34 [2562]~E(x25621,x25622)+E(f625(x25621,x25623),f625(x25622,x25623))
% 204.32/204.34 [2563]~E(x25631,x25632)+E(f625(x25633,x25631),f625(x25633,x25632))
% 204.32/204.34 [2564]~E(x25641,x25642)+E(f397(x25641,x25643),f397(x25642,x25643))
% 204.32/204.34 [2565]~E(x25651,x25652)+E(f397(x25653,x25651),f397(x25653,x25652))
% 204.32/204.34 [2566]~E(x25661,x25662)+E(f748(x25661,x25663,x25664,x25665),f748(x25662,x25663,x25664,x25665))
% 204.32/204.34 [2567]~E(x25671,x25672)+E(f748(x25673,x25671,x25674,x25675),f748(x25673,x25672,x25674,x25675))
% 204.32/204.34 [2568]~E(x25681,x25682)+E(f748(x25683,x25684,x25681,x25685),f748(x25683,x25684,x25682,x25685))
% 204.32/204.34 [2569]~E(x25691,x25692)+E(f748(x25693,x25694,x25695,x25691),f748(x25693,x25694,x25695,x25692))
% 204.32/204.34 [2570]~E(x25701,x25702)+E(f502(x25701,x25703,x25704),f502(x25702,x25703,x25704))
% 204.32/204.34 [2571]~E(x25711,x25712)+E(f502(x25713,x25711,x25714),f502(x25713,x25712,x25714))
% 204.32/204.34 [2572]~E(x25721,x25722)+E(f502(x25723,x25724,x25721),f502(x25723,x25724,x25722))
% 204.32/204.34 [2573]~E(x25731,x25732)+E(f560(x25731,x25733,x25734,x25735,x25736,x25737),f560(x25732,x25733,x25734,x25735,x25736,x25737))
% 204.32/204.34 [2574]~E(x25741,x25742)+E(f560(x25743,x25741,x25744,x25745,x25746,x25747),f560(x25743,x25742,x25744,x25745,x25746,x25747))
% 204.32/204.34 [2575]~E(x25751,x25752)+E(f560(x25753,x25754,x25751,x25755,x25756,x25757),f560(x25753,x25754,x25752,x25755,x25756,x25757))
% 204.32/204.34 [2576]~E(x25761,x25762)+E(f560(x25763,x25764,x25765,x25761,x25766,x25767),f560(x25763,x25764,x25765,x25762,x25766,x25767))
% 204.32/204.34 [2577]~E(x25771,x25772)+E(f560(x25773,x25774,x25775,x25776,x25771,x25777),f560(x25773,x25774,x25775,x25776,x25772,x25777))
% 204.32/204.34 [2578]~E(x25781,x25782)+E(f560(x25783,x25784,x25785,x25786,x25787,x25781),f560(x25783,x25784,x25785,x25786,x25787,x25782))
% 204.32/204.34 [2579]~E(x25791,x25792)+E(f398(x25791,x25793),f398(x25792,x25793))
% 204.32/204.34 [2580]~E(x25801,x25802)+E(f398(x25803,x25801),f398(x25803,x25802))
% 204.32/204.34 [2581]~E(x25811,x25812)+E(f809(x25811),f809(x25812))
% 204.32/204.34 [2582]~E(x25821,x25822)+E(f655(x25821,x25823,x25824,x25825),f655(x25822,x25823,x25824,x25825))
% 204.32/204.34 [2583]~E(x25831,x25832)+E(f655(x25833,x25831,x25834,x25835),f655(x25833,x25832,x25834,x25835))
% 204.32/204.34 [2584]~E(x25841,x25842)+E(f655(x25843,x25844,x25841,x25845),f655(x25843,x25844,x25842,x25845))
% 204.32/204.34 [2585]~E(x25851,x25852)+E(f655(x25853,x25854,x25855,x25851),f655(x25853,x25854,x25855,x25852))
% 204.32/204.34 [2586]~E(x25861,x25862)+E(f341(x25861,x25863,x25864),f341(x25862,x25863,x25864))
% 204.32/204.34 [2587]~E(x25871,x25872)+E(f341(x25873,x25871,x25874),f341(x25873,x25872,x25874))
% 204.32/204.34 [2588]~E(x25881,x25882)+E(f341(x25883,x25884,x25881),f341(x25883,x25884,x25882))
% 204.32/204.34 [2589]~E(x25891,x25892)+E(f884(x25891,x25893,x25894),f884(x25892,x25893,x25894))
% 204.32/204.34 [2590]~E(x25901,x25902)+E(f884(x25903,x25901,x25904),f884(x25903,x25902,x25904))
% 204.32/204.34 [2591]~E(x25911,x25912)+E(f884(x25913,x25914,x25911),f884(x25913,x25914,x25912))
% 204.32/204.34 [2592]~E(x25921,x25922)+E(f393(x25921,x25923),f393(x25922,x25923))
% 204.32/204.34 [2593]~E(x25931,x25932)+E(f393(x25933,x25931),f393(x25933,x25932))
% 204.32/204.34 [2594]~E(x25941,x25942)+E(f99(x25941,x25943,x25944,x25945),f99(x25942,x25943,x25944,x25945))
% 204.32/204.34 [2595]~E(x25951,x25952)+E(f99(x25953,x25951,x25954,x25955),f99(x25953,x25952,x25954,x25955))
% 204.32/204.34 [2596]~E(x25961,x25962)+E(f99(x25963,x25964,x25961,x25965),f99(x25963,x25964,x25962,x25965))
% 204.32/204.34 [2597]~E(x25971,x25972)+E(f99(x25973,x25974,x25975,x25971),f99(x25973,x25974,x25975,x25972))
% 204.32/204.34 [2598]~E(x25981,x25982)+E(f826(x25981),f826(x25982))
% 204.32/204.34 [2599]~E(x25991,x25992)+E(f658(x25991,x25993,x25994),f658(x25992,x25993,x25994))
% 204.32/204.34 [2600]~E(x26001,x26002)+E(f658(x26003,x26001,x26004),f658(x26003,x26002,x26004))
% 204.32/204.34 [2601]~E(x26011,x26012)+E(f658(x26013,x26014,x26011),f658(x26013,x26014,x26012))
% 204.32/204.34 [2602]~E(x26021,x26022)+E(f819(x26021,x26023),f819(x26022,x26023))
% 204.32/204.34 [2603]~E(x26031,x26032)+E(f819(x26033,x26031),f819(x26033,x26032))
% 204.32/204.34 [2604]~E(x26041,x26042)+E(f835(x26041,x26043,x26044,x26045,x26046,x26047),f835(x26042,x26043,x26044,x26045,x26046,x26047))
% 204.32/204.34 [2605]~E(x26051,x26052)+E(f835(x26053,x26051,x26054,x26055,x26056,x26057),f835(x26053,x26052,x26054,x26055,x26056,x26057))
% 204.32/204.34 [2606]~E(x26061,x26062)+E(f835(x26063,x26064,x26061,x26065,x26066,x26067),f835(x26063,x26064,x26062,x26065,x26066,x26067))
% 204.32/204.34 [2607]~E(x26071,x26072)+E(f835(x26073,x26074,x26075,x26071,x26076,x26077),f835(x26073,x26074,x26075,x26072,x26076,x26077))
% 204.32/204.34 [2608]~E(x26081,x26082)+E(f835(x26083,x26084,x26085,x26086,x26081,x26087),f835(x26083,x26084,x26085,x26086,x26082,x26087))
% 204.32/204.34 [2609]~E(x26091,x26092)+E(f835(x26093,x26094,x26095,x26096,x26097,x26091),f835(x26093,x26094,x26095,x26096,x26097,x26092))
% 204.32/204.34 [2610]~E(x26101,x26102)+E(f833(x26101,x26103),f833(x26102,x26103))
% 204.32/204.34 [2611]~E(x26111,x26112)+E(f833(x26113,x26111),f833(x26113,x26112))
% 204.32/204.34 [2612]~E(x26121,x26122)+E(f649(x26121,x26123,x26124,x26125),f649(x26122,x26123,x26124,x26125))
% 204.32/204.34 [2613]~E(x26131,x26132)+E(f649(x26133,x26131,x26134,x26135),f649(x26133,x26132,x26134,x26135))
% 204.32/204.34 [2614]~E(x26141,x26142)+E(f649(x26143,x26144,x26141,x26145),f649(x26143,x26144,x26142,x26145))
% 204.32/204.34 [2615]~E(x26151,x26152)+E(f649(x26153,x26154,x26155,x26151),f649(x26153,x26154,x26155,x26152))
% 204.32/204.34 [2616]~E(x26161,x26162)+E(f205(x26161),f205(x26162))
% 204.32/204.34 [2617]~E(x26171,x26172)+E(f530(x26171,x26173,x26174,x26175,x26176,x26177,x26178),f530(x26172,x26173,x26174,x26175,x26176,x26177,x26178))
% 204.32/204.34 [2618]~E(x26181,x26182)+E(f530(x26183,x26181,x26184,x26185,x26186,x26187,x26188),f530(x26183,x26182,x26184,x26185,x26186,x26187,x26188))
% 204.32/204.34 [2619]~E(x26191,x26192)+E(f530(x26193,x26194,x26191,x26195,x26196,x26197,x26198),f530(x26193,x26194,x26192,x26195,x26196,x26197,x26198))
% 204.32/204.34 [2620]~E(x26201,x26202)+E(f530(x26203,x26204,x26205,x26201,x26206,x26207,x26208),f530(x26203,x26204,x26205,x26202,x26206,x26207,x26208))
% 204.32/204.34 [2621]~E(x26211,x26212)+E(f530(x26213,x26214,x26215,x26216,x26211,x26217,x26218),f530(x26213,x26214,x26215,x26216,x26212,x26217,x26218))
% 204.32/204.34 [2622]~E(x26221,x26222)+E(f530(x26223,x26224,x26225,x26226,x26227,x26221,x26228),f530(x26223,x26224,x26225,x26226,x26227,x26222,x26228))
% 204.32/204.34 [2623]~E(x26231,x26232)+E(f530(x26233,x26234,x26235,x26236,x26237,x26238,x26231),f530(x26233,x26234,x26235,x26236,x26237,x26238,x26232))
% 204.32/204.34 [2624]~E(x26241,x26242)+E(f702(x26241,x26243,x26244),f702(x26242,x26243,x26244))
% 204.32/204.34 [2625]~E(x26251,x26252)+E(f702(x26253,x26251,x26254),f702(x26253,x26252,x26254))
% 204.32/204.34 [2626]~E(x26261,x26262)+E(f702(x26263,x26264,x26261),f702(x26263,x26264,x26262))
% 204.32/204.34 [2627]~E(x26271,x26272)+E(f223(x26271,x26273),f223(x26272,x26273))
% 204.32/204.34 [2628]~E(x26281,x26282)+E(f223(x26283,x26281),f223(x26283,x26282))
% 204.32/204.34 [2629]~E(x26291,x26292)+E(f383(x26291,x26293),f383(x26292,x26293))
% 204.32/204.34 [2630]~E(x26301,x26302)+E(f383(x26303,x26301),f383(x26303,x26302))
% 204.32/204.34 [2631]~E(x26311,x26312)+E(f508(x26311,x26313,x26314),f508(x26312,x26313,x26314))
% 204.32/204.34 [2632]~E(x26321,x26322)+E(f508(x26323,x26321,x26324),f508(x26323,x26322,x26324))
% 204.32/204.34 [2633]~E(x26331,x26332)+E(f508(x26333,x26334,x26331),f508(x26333,x26334,x26332))
% 204.32/204.34 [2634]~E(x26341,x26342)+E(f537(x26341,x26343,x26344,x26345),f537(x26342,x26343,x26344,x26345))
% 204.32/204.34 [2635]~E(x26351,x26352)+E(f537(x26353,x26351,x26354,x26355),f537(x26353,x26352,x26354,x26355))
% 204.32/204.34 [2636]~E(x26361,x26362)+E(f537(x26363,x26364,x26361,x26365),f537(x26363,x26364,x26362,x26365))
% 204.32/204.34 [2637]~E(x26371,x26372)+E(f537(x26373,x26374,x26375,x26371),f537(x26373,x26374,x26375,x26372))
% 204.32/204.34 [2638]~E(x26381,x26382)+E(f208(x26381,x26383,x26384),f208(x26382,x26383,x26384))
% 204.32/204.34 [2639]~E(x26391,x26392)+E(f208(x26393,x26391,x26394),f208(x26393,x26392,x26394))
% 204.32/204.34 [2640]~E(x26401,x26402)+E(f208(x26403,x26404,x26401),f208(x26403,x26404,x26402))
% 204.32/204.34 [2641]~E(x26411,x26412)+E(f346(x26411),f346(x26412))
% 204.32/204.34 [2642]~E(x26421,x26422)+E(f354(x26421,x26423,x26424,x26425),f354(x26422,x26423,x26424,x26425))
% 204.32/204.34 [2643]~E(x26431,x26432)+E(f354(x26433,x26431,x26434,x26435),f354(x26433,x26432,x26434,x26435))
% 204.32/204.34 [2644]~E(x26441,x26442)+E(f354(x26443,x26444,x26441,x26445),f354(x26443,x26444,x26442,x26445))
% 204.32/204.34 [2645]~E(x26451,x26452)+E(f354(x26453,x26454,x26455,x26451),f354(x26453,x26454,x26455,x26452))
% 204.32/204.34 [2646]~E(x26461,x26462)+E(f659(x26461,x26463),f659(x26462,x26463))
% 204.32/204.34 [2647]~E(x26471,x26472)+E(f659(x26473,x26471),f659(x26473,x26472))
% 204.32/204.34 [2648]~E(x26481,x26482)+E(f360(x26481,x26483,x26484),f360(x26482,x26483,x26484))
% 204.32/204.34 [2649]~E(x26491,x26492)+E(f360(x26493,x26491,x26494),f360(x26493,x26492,x26494))
% 204.32/204.34 [2650]~E(x26501,x26502)+E(f360(x26503,x26504,x26501),f360(x26503,x26504,x26502))
% 204.32/204.34 [2651]~E(x26511,x26512)+E(f616(x26511,x26513,x26514),f616(x26512,x26513,x26514))
% 204.32/204.34 [2652]~E(x26521,x26522)+E(f616(x26523,x26521,x26524),f616(x26523,x26522,x26524))
% 204.32/204.34 [2653]~E(x26531,x26532)+E(f616(x26533,x26534,x26531),f616(x26533,x26534,x26532))
% 204.32/204.34 [2654]~E(x26541,x26542)+E(f922(x26541,x26543,x26544,x26545,x26546,x26547,x26548),f922(x26542,x26543,x26544,x26545,x26546,x26547,x26548))
% 204.32/204.34 [2655]~E(x26551,x26552)+E(f922(x26553,x26551,x26554,x26555,x26556,x26557,x26558),f922(x26553,x26552,x26554,x26555,x26556,x26557,x26558))
% 204.32/204.34 [2656]~E(x26561,x26562)+E(f922(x26563,x26564,x26561,x26565,x26566,x26567,x26568),f922(x26563,x26564,x26562,x26565,x26566,x26567,x26568))
% 204.32/204.34 [2657]~E(x26571,x26572)+E(f922(x26573,x26574,x26575,x26571,x26576,x26577,x26578),f922(x26573,x26574,x26575,x26572,x26576,x26577,x26578))
% 204.32/204.34 [2658]~E(x26581,x26582)+E(f922(x26583,x26584,x26585,x26586,x26581,x26587,x26588),f922(x26583,x26584,x26585,x26586,x26582,x26587,x26588))
% 204.32/204.34 [2659]~E(x26591,x26592)+E(f922(x26593,x26594,x26595,x26596,x26597,x26591,x26598),f922(x26593,x26594,x26595,x26596,x26597,x26592,x26598))
% 204.32/204.34 [2660]~E(x26601,x26602)+E(f922(x26603,x26604,x26605,x26606,x26607,x26608,x26601),f922(x26603,x26604,x26605,x26606,x26607,x26608,x26602))
% 204.32/204.34 [2661]~E(x26611,x26612)+E(f745(x26611,x26613),f745(x26612,x26613))
% 204.32/204.34 [2662]~E(x26621,x26622)+E(f745(x26623,x26621),f745(x26623,x26622))
% 204.32/204.34 [2663]~E(x26631,x26632)+E(f697(x26631,x26633,x26634,x26635,x26636),f697(x26632,x26633,x26634,x26635,x26636))
% 204.32/204.34 [2664]~E(x26641,x26642)+E(f697(x26643,x26641,x26644,x26645,x26646),f697(x26643,x26642,x26644,x26645,x26646))
% 204.32/204.34 [2665]~E(x26651,x26652)+E(f697(x26653,x26654,x26651,x26655,x26656),f697(x26653,x26654,x26652,x26655,x26656))
% 204.32/204.34 [2666]~E(x26661,x26662)+E(f697(x26663,x26664,x26665,x26661,x26666),f697(x26663,x26664,x26665,x26662,x26666))
% 204.32/204.34 [2667]~E(x26671,x26672)+E(f697(x26673,x26674,x26675,x26676,x26671),f697(x26673,x26674,x26675,x26676,x26672))
% 204.32/204.34 [2668]~E(x26681,x26682)+E(f415(x26681,x26683,x26684,x26685),f415(x26682,x26683,x26684,x26685))
% 204.32/204.34 [2669]~E(x26691,x26692)+E(f415(x26693,x26691,x26694,x26695),f415(x26693,x26692,x26694,x26695))
% 204.32/204.34 [2670]~E(x26701,x26702)+E(f415(x26703,x26704,x26701,x26705),f415(x26703,x26704,x26702,x26705))
% 204.32/204.34 [2671]~E(x26711,x26712)+E(f415(x26713,x26714,x26715,x26711),f415(x26713,x26714,x26715,x26712))
% 204.32/204.34 [2672]~E(x26721,x26722)+E(f210(x26721,x26723,x26724,x26725),f210(x26722,x26723,x26724,x26725))
% 204.32/204.34 [2673]~E(x26731,x26732)+E(f210(x26733,x26731,x26734,x26735),f210(x26733,x26732,x26734,x26735))
% 204.32/204.34 [2674]~E(x26741,x26742)+E(f210(x26743,x26744,x26741,x26745),f210(x26743,x26744,x26742,x26745))
% 204.32/204.34 [2675]~E(x26751,x26752)+E(f210(x26753,x26754,x26755,x26751),f210(x26753,x26754,x26755,x26752))
% 204.32/204.34 [2676]~E(x26761,x26762)+E(f765(x26761,x26763,x26764),f765(x26762,x26763,x26764))
% 204.32/204.34 [2677]~E(x26771,x26772)+E(f765(x26773,x26771,x26774),f765(x26773,x26772,x26774))
% 204.32/204.34 [2678]~E(x26781,x26782)+E(f765(x26783,x26784,x26781),f765(x26783,x26784,x26782))
% 204.32/204.34 [2679]~E(x26791,x26792)+E(f896(x26791,x26793,x26794,x26795),f896(x26792,x26793,x26794,x26795))
% 204.32/204.34 [2680]~E(x26801,x26802)+E(f896(x26803,x26801,x26804,x26805),f896(x26803,x26802,x26804,x26805))
% 204.32/204.34 [2681]~E(x26811,x26812)+E(f896(x26813,x26814,x26811,x26815),f896(x26813,x26814,x26812,x26815))
% 204.32/204.34 [2682]~E(x26821,x26822)+E(f896(x26823,x26824,x26825,x26821),f896(x26823,x26824,x26825,x26822))
% 204.32/204.34 [2683]~E(x26831,x26832)+E(f678(x26831,x26833,x26834,x26835),f678(x26832,x26833,x26834,x26835))
% 204.32/204.34 [2684]~E(x26841,x26842)+E(f678(x26843,x26841,x26844,x26845),f678(x26843,x26842,x26844,x26845))
% 204.32/204.34 [2685]~E(x26851,x26852)+E(f678(x26853,x26854,x26851,x26855),f678(x26853,x26854,x26852,x26855))
% 204.32/204.34 [2686]~E(x26861,x26862)+E(f678(x26863,x26864,x26865,x26861),f678(x26863,x26864,x26865,x26862))
% 204.32/204.34 [2687]~E(x26871,x26872)+E(f366(x26871,x26873,x26874),f366(x26872,x26873,x26874))
% 204.32/204.34 [2688]~E(x26881,x26882)+E(f366(x26883,x26881,x26884),f366(x26883,x26882,x26884))
% 204.32/204.34 [2689]~E(x26891,x26892)+E(f366(x26893,x26894,x26891),f366(x26893,x26894,x26892))
% 204.32/204.34 [2690]~E(x26901,x26902)+E(f472(x26901,x26903,x26904),f472(x26902,x26903,x26904))
% 204.32/204.34 [2691]~E(x26911,x26912)+E(f472(x26913,x26911,x26914),f472(x26913,x26912,x26914))
% 204.32/204.34 [2692]~E(x26921,x26922)+E(f472(x26923,x26924,x26921),f472(x26923,x26924,x26922))
% 204.32/204.34 [2693]~E(x26931,x26932)+E(f215(x26931,x26933,x26934,x26935),f215(x26932,x26933,x26934,x26935))
% 204.32/204.34 [2694]~E(x26941,x26942)+E(f215(x26943,x26941,x26944,x26945),f215(x26943,x26942,x26944,x26945))
% 204.32/204.34 [2695]~E(x26951,x26952)+E(f215(x26953,x26954,x26951,x26955),f215(x26953,x26954,x26952,x26955))
% 204.32/204.34 [2696]~E(x26961,x26962)+E(f215(x26963,x26964,x26965,x26961),f215(x26963,x26964,x26965,x26962))
% 204.32/204.34 [2697]~E(x26971,x26972)+E(f808(x26971,x26973,x26974,x26975,x26976),f808(x26972,x26973,x26974,x26975,x26976))
% 204.32/204.34 [2698]~E(x26981,x26982)+E(f808(x26983,x26981,x26984,x26985,x26986),f808(x26983,x26982,x26984,x26985,x26986))
% 204.32/204.34 [2699]~E(x26991,x26992)+E(f808(x26993,x26994,x26991,x26995,x26996),f808(x26993,x26994,x26992,x26995,x26996))
% 204.32/204.34 [2700]~E(x27001,x27002)+E(f808(x27003,x27004,x27005,x27001,x27006),f808(x27003,x27004,x27005,x27002,x27006))
% 204.32/204.34 [2701]~E(x27011,x27012)+E(f808(x27013,x27014,x27015,x27016,x27011),f808(x27013,x27014,x27015,x27016,x27012))
% 204.32/204.34 [2702]~E(x27021,x27022)+E(f479(x27021,x27023),f479(x27022,x27023))
% 204.32/204.34 [2703]~E(x27031,x27032)+E(f479(x27033,x27031),f479(x27033,x27032))
% 204.32/204.34 [2704]~E(x27041,x27042)+E(f585(x27041,x27043),f585(x27042,x27043))
% 204.32/204.34 [2705]~E(x27051,x27052)+E(f585(x27053,x27051),f585(x27053,x27052))
% 204.32/204.34 [2706]~E(x27061,x27062)+E(f497(x27061,x27063,x27064,x27065),f497(x27062,x27063,x27064,x27065))
% 204.32/204.34 [2707]~E(x27071,x27072)+E(f497(x27073,x27071,x27074,x27075),f497(x27073,x27072,x27074,x27075))
% 204.32/204.34 [2708]~E(x27081,x27082)+E(f497(x27083,x27084,x27081,x27085),f497(x27083,x27084,x27082,x27085))
% 204.32/204.34 [2709]~E(x27091,x27092)+E(f497(x27093,x27094,x27095,x27091),f497(x27093,x27094,x27095,x27092))
% 204.32/204.34 [2710]~E(x27101,x27102)+E(f451(x27101),f451(x27102))
% 204.32/204.34 [2711]~E(x27111,x27112)+E(f544(x27111,x27113,x27114,x27115),f544(x27112,x27113,x27114,x27115))
% 204.32/204.34 [2712]~E(x27121,x27122)+E(f544(x27123,x27121,x27124,x27125),f544(x27123,x27122,x27124,x27125))
% 204.32/204.34 [2713]~E(x27131,x27132)+E(f544(x27133,x27134,x27131,x27135),f544(x27133,x27134,x27132,x27135))
% 204.32/204.34 [2714]~E(x27141,x27142)+E(f544(x27143,x27144,x27145,x27141),f544(x27143,x27144,x27145,x27142))
% 204.32/204.34 [2715]~E(x27151,x27152)+E(f586(x27151),f586(x27152))
% 204.32/204.34 [2716]~E(x27161,x27162)+E(f775(x27161,x27163,x27164),f775(x27162,x27163,x27164))
% 204.32/204.34 [2717]~E(x27171,x27172)+E(f775(x27173,x27171,x27174),f775(x27173,x27172,x27174))
% 204.32/204.34 [2718]~E(x27181,x27182)+E(f775(x27183,x27184,x27181),f775(x27183,x27184,x27182))
% 204.32/204.34 [2719]~E(x27191,x27192)+E(f522(x27191,x27193,x27194,x27195),f522(x27192,x27193,x27194,x27195))
% 204.32/204.34 [2720]~E(x27201,x27202)+E(f522(x27203,x27201,x27204,x27205),f522(x27203,x27202,x27204,x27205))
% 204.32/204.34 [2721]~E(x27211,x27212)+E(f522(x27213,x27214,x27211,x27215),f522(x27213,x27214,x27212,x27215))
% 204.32/204.34 [2722]~E(x27221,x27222)+E(f522(x27223,x27224,x27225,x27221),f522(x27223,x27224,x27225,x27222))
% 204.32/204.34 [2723]~E(x27231,x27232)+E(f542(x27231,x27233,x27234,x27235),f542(x27232,x27233,x27234,x27235))
% 204.32/204.34 [2724]~E(x27241,x27242)+E(f542(x27243,x27241,x27244,x27245),f542(x27243,x27242,x27244,x27245))
% 204.32/204.34 [2725]~E(x27251,x27252)+E(f542(x27253,x27254,x27251,x27255),f542(x27253,x27254,x27252,x27255))
% 204.32/204.34 [2726]~E(x27261,x27262)+E(f542(x27263,x27264,x27265,x27261),f542(x27263,x27264,x27265,x27262))
% 204.32/204.34 [2727]~E(x27271,x27272)+E(f861(x27271,x27273,x27274,x27275,x27276,x27277,x27278,x27279),f861(x27272,x27273,x27274,x27275,x27276,x27277,x27278,x27279))
% 204.32/204.34 [2728]~E(x27281,x27282)+E(f861(x27283,x27281,x27284,x27285,x27286,x27287,x27288,x27289),f861(x27283,x27282,x27284,x27285,x27286,x27287,x27288,x27289))
% 204.32/204.34 [2729]~E(x27291,x27292)+E(f861(x27293,x27294,x27291,x27295,x27296,x27297,x27298,x27299),f861(x27293,x27294,x27292,x27295,x27296,x27297,x27298,x27299))
% 204.32/204.34 [2730]~E(x27301,x27302)+E(f861(x27303,x27304,x27305,x27301,x27306,x27307,x27308,x27309),f861(x27303,x27304,x27305,x27302,x27306,x27307,x27308,x27309))
% 204.32/204.34 [2731]~E(x27311,x27312)+E(f861(x27313,x27314,x27315,x27316,x27311,x27317,x27318,x27319),f861(x27313,x27314,x27315,x27316,x27312,x27317,x27318,x27319))
% 204.32/204.34 [2732]~E(x27321,x27322)+E(f861(x27323,x27324,x27325,x27326,x27327,x27321,x27328,x27329),f861(x27323,x27324,x27325,x27326,x27327,x27322,x27328,x27329))
% 204.32/204.34 [2733]~E(x27331,x27332)+E(f861(x27333,x27334,x27335,x27336,x27337,x27338,x27331,x27339),f861(x27333,x27334,x27335,x27336,x27337,x27338,x27332,x27339))
% 204.32/204.34 [2734]~E(x27341,x27342)+E(f861(x27343,x27344,x27345,x27346,x27347,x27348,x27349,x27341),f861(x27343,x27344,x27345,x27346,x27347,x27348,x27349,x27342))
% 204.32/204.34 [2735]~E(x27351,x27352)+E(f282(x27351),f282(x27352))
% 204.32/204.34 [2736]~E(x27361,x27362)+E(f756(x27361,x27363,x27364,x27365,x27366,x27367,x27368),f756(x27362,x27363,x27364,x27365,x27366,x27367,x27368))
% 204.32/204.34 [2737]~E(x27371,x27372)+E(f756(x27373,x27371,x27374,x27375,x27376,x27377,x27378),f756(x27373,x27372,x27374,x27375,x27376,x27377,x27378))
% 204.32/204.34 [2738]~E(x27381,x27382)+E(f756(x27383,x27384,x27381,x27385,x27386,x27387,x27388),f756(x27383,x27384,x27382,x27385,x27386,x27387,x27388))
% 204.32/204.34 [2739]~E(x27391,x27392)+E(f756(x27393,x27394,x27395,x27391,x27396,x27397,x27398),f756(x27393,x27394,x27395,x27392,x27396,x27397,x27398))
% 204.32/204.34 [2740]~E(x27401,x27402)+E(f756(x27403,x27404,x27405,x27406,x27401,x27407,x27408),f756(x27403,x27404,x27405,x27406,x27402,x27407,x27408))
% 204.32/204.34 [2741]~E(x27411,x27412)+E(f756(x27413,x27414,x27415,x27416,x27417,x27411,x27418),f756(x27413,x27414,x27415,x27416,x27417,x27412,x27418))
% 204.32/204.34 [2742]~E(x27421,x27422)+E(f756(x27423,x27424,x27425,x27426,x27427,x27428,x27421),f756(x27423,x27424,x27425,x27426,x27427,x27428,x27422))
% 204.32/204.34 [2743]~E(x27431,x27432)+E(f227(x27431,x27433,x27434),f227(x27432,x27433,x27434))
% 204.32/204.34 [2744]~E(x27441,x27442)+E(f227(x27443,x27441,x27444),f227(x27443,x27442,x27444))
% 204.32/204.34 [2745]~E(x27451,x27452)+E(f227(x27453,x27454,x27451),f227(x27453,x27454,x27452))
% 204.32/204.34 [2746]~E(x27461,x27462)+E(f295(x27461,x27463),f295(x27462,x27463))
% 204.32/204.34 [2747]~E(x27471,x27472)+E(f295(x27473,x27471),f295(x27473,x27472))
% 204.32/204.34 [2748]~E(x27481,x27482)+E(f787(x27481),f787(x27482))
% 204.32/204.34 [2749]~E(x27491,x27492)+E(f402(x27491,x27493,x27494,x27495),f402(x27492,x27493,x27494,x27495))
% 204.32/204.34 [2750]~E(x27501,x27502)+E(f402(x27503,x27501,x27504,x27505),f402(x27503,x27502,x27504,x27505))
% 204.32/204.34 [2751]~E(x27511,x27512)+E(f402(x27513,x27514,x27511,x27515),f402(x27513,x27514,x27512,x27515))
% 204.32/204.34 [2752]~E(x27521,x27522)+E(f402(x27523,x27524,x27525,x27521),f402(x27523,x27524,x27525,x27522))
% 204.32/204.34 [2753]~E(x27531,x27532)+E(f846(x27531,x27533,x27534),f846(x27532,x27533,x27534))
% 204.32/204.34 [2754]~E(x27541,x27542)+E(f846(x27543,x27541,x27544),f846(x27543,x27542,x27544))
% 204.32/204.34 [2755]~E(x27551,x27552)+E(f846(x27553,x27554,x27551),f846(x27553,x27554,x27552))
% 204.32/204.34 [2756]~E(x27561,x27562)+E(f523(x27561,x27563,x27564,x27565,x27566),f523(x27562,x27563,x27564,x27565,x27566))
% 204.32/204.34 [2757]~E(x27571,x27572)+E(f523(x27573,x27571,x27574,x27575,x27576),f523(x27573,x27572,x27574,x27575,x27576))
% 204.32/204.34 [2758]~E(x27581,x27582)+E(f523(x27583,x27584,x27581,x27585,x27586),f523(x27583,x27584,x27582,x27585,x27586))
% 204.32/204.34 [2759]~E(x27591,x27592)+E(f523(x27593,x27594,x27595,x27591,x27596),f523(x27593,x27594,x27595,x27592,x27596))
% 204.32/204.34 [2760]~E(x27601,x27602)+E(f523(x27603,x27604,x27605,x27606,x27601),f523(x27603,x27604,x27605,x27606,x27602))
% 204.32/204.34 [2761]~E(x27611,x27612)+E(f628(x27611,x27613,x27614,x27615,x27616),f628(x27612,x27613,x27614,x27615,x27616))
% 204.32/204.34 [2762]~E(x27621,x27622)+E(f628(x27623,x27621,x27624,x27625,x27626),f628(x27623,x27622,x27624,x27625,x27626))
% 204.32/204.34 [2763]~E(x27631,x27632)+E(f628(x27633,x27634,x27631,x27635,x27636),f628(x27633,x27634,x27632,x27635,x27636))
% 204.32/204.34 [2764]~E(x27641,x27642)+E(f628(x27643,x27644,x27645,x27641,x27646),f628(x27643,x27644,x27645,x27642,x27646))
% 204.32/204.34 [2765]~E(x27651,x27652)+E(f628(x27653,x27654,x27655,x27656,x27651),f628(x27653,x27654,x27655,x27656,x27652))
% 204.32/204.34 [2766]~E(x27661,x27662)+E(f519(x27661,x27663,x27664,x27665,x27666),f519(x27662,x27663,x27664,x27665,x27666))
% 204.32/204.34 [2767]~E(x27671,x27672)+E(f519(x27673,x27671,x27674,x27675,x27676),f519(x27673,x27672,x27674,x27675,x27676))
% 204.32/204.34 [2768]~E(x27681,x27682)+E(f519(x27683,x27684,x27681,x27685,x27686),f519(x27683,x27684,x27682,x27685,x27686))
% 204.32/204.34 [2769]~E(x27691,x27692)+E(f519(x27693,x27694,x27695,x27691,x27696),f519(x27693,x27694,x27695,x27692,x27696))
% 204.32/204.34 [2770]~E(x27701,x27702)+E(f519(x27703,x27704,x27705,x27706,x27701),f519(x27703,x27704,x27705,x27706,x27702))
% 204.32/204.34 [2771]~E(x27711,x27712)+E(f490(x27711,x27713,x27714),f490(x27712,x27713,x27714))
% 204.32/204.34 [2772]~E(x27721,x27722)+E(f490(x27723,x27721,x27724),f490(x27723,x27722,x27724))
% 204.32/204.34 [2773]~E(x27731,x27732)+E(f490(x27733,x27734,x27731),f490(x27733,x27734,x27732))
% 204.32/204.34 [2774]~E(x27741,x27742)+E(f389(x27741,x27743,x27744,x27745,x27746),f389(x27742,x27743,x27744,x27745,x27746))
% 204.32/204.34 [2775]~E(x27751,x27752)+E(f389(x27753,x27751,x27754,x27755,x27756),f389(x27753,x27752,x27754,x27755,x27756))
% 204.32/204.34 [2776]~E(x27761,x27762)+E(f389(x27763,x27764,x27761,x27765,x27766),f389(x27763,x27764,x27762,x27765,x27766))
% 204.32/204.34 [2777]~E(x27771,x27772)+E(f389(x27773,x27774,x27775,x27771,x27776),f389(x27773,x27774,x27775,x27772,x27776))
% 204.32/204.34 [2778]~E(x27781,x27782)+E(f389(x27783,x27784,x27785,x27786,x27781),f389(x27783,x27784,x27785,x27786,x27782))
% 204.32/204.34 [2779]~E(x27791,x27792)+E(f423(x27791,x27793,x27794),f423(x27792,x27793,x27794))
% 204.32/204.34 [2780]~E(x27801,x27802)+E(f423(x27803,x27801,x27804),f423(x27803,x27802,x27804))
% 204.32/204.34 [2781]~E(x27811,x27812)+E(f423(x27813,x27814,x27811),f423(x27813,x27814,x27812))
% 204.32/204.34 [2782]~E(x27821,x27822)+E(f234(x27821,x27823,x27824,x27825),f234(x27822,x27823,x27824,x27825))
% 204.32/204.34 [2783]~E(x27831,x27832)+E(f234(x27833,x27831,x27834,x27835),f234(x27833,x27832,x27834,x27835))
% 204.32/204.34 [2784]~E(x27841,x27842)+E(f234(x27843,x27844,x27841,x27845),f234(x27843,x27844,x27842,x27845))
% 204.32/204.34 [2785]~E(x27851,x27852)+E(f234(x27853,x27854,x27855,x27851),f234(x27853,x27854,x27855,x27852))
% 204.32/204.34 [2786]~E(x27861,x27862)+E(f339(x27861),f339(x27862))
% 204.32/204.34 [2787]~E(x27871,x27872)+E(f211(x27871,x27873,x27874,x27875),f211(x27872,x27873,x27874,x27875))
% 204.32/204.34 [2788]~E(x27881,x27882)+E(f211(x27883,x27881,x27884,x27885),f211(x27883,x27882,x27884,x27885))
% 204.32/204.34 [2789]~E(x27891,x27892)+E(f211(x27893,x27894,x27891,x27895),f211(x27893,x27894,x27892,x27895))
% 204.32/204.34 [2790]~E(x27901,x27902)+E(f211(x27903,x27904,x27905,x27901),f211(x27903,x27904,x27905,x27902))
% 204.32/204.34 [2791]~E(x27911,x27912)+E(f755(x27911,x27913,x27914,x27915,x27916,x27917,x27918),f755(x27912,x27913,x27914,x27915,x27916,x27917,x27918))
% 204.32/204.34 [2792]~E(x27921,x27922)+E(f755(x27923,x27921,x27924,x27925,x27926,x27927,x27928),f755(x27923,x27922,x27924,x27925,x27926,x27927,x27928))
% 204.32/204.34 [2793]~E(x27931,x27932)+E(f755(x27933,x27934,x27931,x27935,x27936,x27937,x27938),f755(x27933,x27934,x27932,x27935,x27936,x27937,x27938))
% 204.32/204.34 [2794]~E(x27941,x27942)+E(f755(x27943,x27944,x27945,x27941,x27946,x27947,x27948),f755(x27943,x27944,x27945,x27942,x27946,x27947,x27948))
% 204.32/204.34 [2795]~E(x27951,x27952)+E(f755(x27953,x27954,x27955,x27956,x27951,x27957,x27958),f755(x27953,x27954,x27955,x27956,x27952,x27957,x27958))
% 204.32/204.34 [2796]~E(x27961,x27962)+E(f755(x27963,x27964,x27965,x27966,x27967,x27961,x27968),f755(x27963,x27964,x27965,x27966,x27967,x27962,x27968))
% 204.32/204.34 [2797]~E(x27971,x27972)+E(f755(x27973,x27974,x27975,x27976,x27977,x27978,x27971),f755(x27973,x27974,x27975,x27976,x27977,x27978,x27972))
% 204.32/204.34 [2798]~E(x27981,x27982)+E(f283(x27981,x27983,x27984,x27985),f283(x27982,x27983,x27984,x27985))
% 204.32/204.34 [2799]~E(x27991,x27992)+E(f283(x27993,x27991,x27994,x27995),f283(x27993,x27992,x27994,x27995))
% 204.32/204.34 [2800]~E(x28001,x28002)+E(f283(x28003,x28004,x28001,x28005),f283(x28003,x28004,x28002,x28005))
% 204.32/204.34 [2801]~E(x28011,x28012)+E(f283(x28013,x28014,x28015,x28011),f283(x28013,x28014,x28015,x28012))
% 204.32/204.34 [2802]~E(x28021,x28022)+E(f757(x28021,x28023),f757(x28022,x28023))
% 204.32/204.34 [2803]~E(x28031,x28032)+E(f757(x28033,x28031),f757(x28033,x28032))
% 204.32/204.34 [2804]~E(x28041,x28042)+E(f764(x28041,x28043,x28044),f764(x28042,x28043,x28044))
% 204.32/204.34 [2805]~E(x28051,x28052)+E(f764(x28053,x28051,x28054),f764(x28053,x28052,x28054))
% 204.32/204.34 [2806]~E(x28061,x28062)+E(f764(x28063,x28064,x28061),f764(x28063,x28064,x28062))
% 204.32/204.34 [2807]~E(x28071,x28072)+E(f634(x28071,x28073,x28074,x28075,x28076),f634(x28072,x28073,x28074,x28075,x28076))
% 204.32/204.34 [2808]~E(x28081,x28082)+E(f634(x28083,x28081,x28084,x28085,x28086),f634(x28083,x28082,x28084,x28085,x28086))
% 204.32/204.34 [2809]~E(x28091,x28092)+E(f634(x28093,x28094,x28091,x28095,x28096),f634(x28093,x28094,x28092,x28095,x28096))
% 204.32/204.34 [2810]~E(x28101,x28102)+E(f634(x28103,x28104,x28105,x28101,x28106),f634(x28103,x28104,x28105,x28102,x28106))
% 204.32/204.34 [2811]~E(x28111,x28112)+E(f634(x28113,x28114,x28115,x28116,x28111),f634(x28113,x28114,x28115,x28116,x28112))
% 204.32/204.34 [2812]~E(x28121,x28122)+E(f804(x28121,x28123,x28124),f804(x28122,x28123,x28124))
% 204.32/204.34 [2813]~E(x28131,x28132)+E(f804(x28133,x28131,x28134),f804(x28133,x28132,x28134))
% 204.32/204.34 [2814]~E(x28141,x28142)+E(f804(x28143,x28144,x28141),f804(x28143,x28144,x28142))
% 204.32/204.34 [2815]~E(x28151,x28152)+E(f507(x28151,x28153,x28154),f507(x28152,x28153,x28154))
% 204.32/204.34 [2816]~E(x28161,x28162)+E(f507(x28163,x28161,x28164),f507(x28163,x28162,x28164))
% 204.32/204.34 [2817]~E(x28171,x28172)+E(f507(x28173,x28174,x28171),f507(x28173,x28174,x28172))
% 204.32/204.34 [2818]~E(x28181,x28182)+E(f711(x28181,x28183,x28184),f711(x28182,x28183,x28184))
% 204.32/204.34 [2819]~E(x28191,x28192)+E(f711(x28193,x28191,x28194),f711(x28193,x28192,x28194))
% 204.32/204.34 [2820]~E(x28201,x28202)+E(f711(x28203,x28204,x28201),f711(x28203,x28204,x28202))
% 204.32/204.34 [2821]~E(x28211,x28212)+E(f912(x28211,x28213,x28214),f912(x28212,x28213,x28214))
% 204.32/204.34 [2822]~E(x28221,x28222)+E(f912(x28223,x28221,x28224),f912(x28223,x28222,x28224))
% 204.32/204.34 [2823]~E(x28231,x28232)+E(f912(x28233,x28234,x28231),f912(x28233,x28234,x28232))
% 204.32/204.34 [2824]~E(x28241,x28242)+E(f417(x28241,x28243,x28244,x28245),f417(x28242,x28243,x28244,x28245))
% 204.32/204.34 [2825]~E(x28251,x28252)+E(f417(x28253,x28251,x28254,x28255),f417(x28253,x28252,x28254,x28255))
% 204.32/204.34 [2826]~E(x28261,x28262)+E(f417(x28263,x28264,x28261,x28265),f417(x28263,x28264,x28262,x28265))
% 204.32/204.34 [2827]~E(x28271,x28272)+E(f417(x28273,x28274,x28275,x28271),f417(x28273,x28274,x28275,x28272))
% 204.32/204.34 [2828]~E(x28281,x28282)+E(f381(x28281,x28283,x28284),f381(x28282,x28283,x28284))
% 204.32/204.34 [2829]~E(x28291,x28292)+E(f381(x28293,x28291,x28294),f381(x28293,x28292,x28294))
% 204.32/204.34 [2830]~E(x28301,x28302)+E(f381(x28303,x28304,x28301),f381(x28303,x28304,x28302))
% 204.32/204.34 [2831]~E(x28311,x28312)+E(f556(x28311,x28313),f556(x28312,x28313))
% 204.32/204.34 [2832]~E(x28321,x28322)+E(f556(x28323,x28321),f556(x28323,x28322))
% 204.32/204.34 [2833]~E(x28331,x28332)+E(f597(x28331,x28333,x28334,x28335,x28336,x28337),f597(x28332,x28333,x28334,x28335,x28336,x28337))
% 204.32/204.34 [2834]~E(x28341,x28342)+E(f597(x28343,x28341,x28344,x28345,x28346,x28347),f597(x28343,x28342,x28344,x28345,x28346,x28347))
% 204.32/204.34 [2835]~E(x28351,x28352)+E(f597(x28353,x28354,x28351,x28355,x28356,x28357),f597(x28353,x28354,x28352,x28355,x28356,x28357))
% 204.32/204.34 [2836]~E(x28361,x28362)+E(f597(x28363,x28364,x28365,x28361,x28366,x28367),f597(x28363,x28364,x28365,x28362,x28366,x28367))
% 204.32/204.34 [2837]~E(x28371,x28372)+E(f597(x28373,x28374,x28375,x28376,x28371,x28377),f597(x28373,x28374,x28375,x28376,x28372,x28377))
% 204.32/204.34 [2838]~E(x28381,x28382)+E(f597(x28383,x28384,x28385,x28386,x28387,x28381),f597(x28383,x28384,x28385,x28386,x28387,x28382))
% 204.32/204.34 [2839]~E(x28391,x28392)+E(f462(x28391,x28393,x28394),f462(x28392,x28393,x28394))
% 204.32/204.34 [2840]~E(x28401,x28402)+E(f462(x28403,x28401,x28404),f462(x28403,x28402,x28404))
% 204.32/204.34 [2841]~E(x28411,x28412)+E(f462(x28413,x28414,x28411),f462(x28413,x28414,x28412))
% 204.32/204.34 [2842]~E(x28421,x28422)+E(f535(x28421,x28423,x28424,x28425),f535(x28422,x28423,x28424,x28425))
% 204.32/204.34 [2843]~E(x28431,x28432)+E(f535(x28433,x28431,x28434,x28435),f535(x28433,x28432,x28434,x28435))
% 204.32/204.34 [2844]~E(x28441,x28442)+E(f535(x28443,x28444,x28441,x28445),f535(x28443,x28444,x28442,x28445))
% 204.32/204.34 [2845]~E(x28451,x28452)+E(f535(x28453,x28454,x28455,x28451),f535(x28453,x28454,x28455,x28452))
% 204.32/204.34 [2846]~E(x28461,x28462)+E(f770(x28461,x28463,x28464),f770(x28462,x28463,x28464))
% 204.32/204.34 [2847]~E(x28471,x28472)+E(f770(x28473,x28471,x28474),f770(x28473,x28472,x28474))
% 204.32/204.34 [2848]~E(x28481,x28482)+E(f770(x28483,x28484,x28481),f770(x28483,x28484,x28482))
% 204.32/204.34 [2849]~E(x28491,x28492)+E(f212(x28491,x28493,x28494,x28495,x28496,x28497,x28498),f212(x28492,x28493,x28494,x28495,x28496,x28497,x28498))
% 204.32/204.34 [2850]~E(x28501,x28502)+E(f212(x28503,x28501,x28504,x28505,x28506,x28507,x28508),f212(x28503,x28502,x28504,x28505,x28506,x28507,x28508))
% 204.32/204.34 [2851]~E(x28511,x28512)+E(f212(x28513,x28514,x28511,x28515,x28516,x28517,x28518),f212(x28513,x28514,x28512,x28515,x28516,x28517,x28518))
% 204.32/204.34 [2852]~E(x28521,x28522)+E(f212(x28523,x28524,x28525,x28521,x28526,x28527,x28528),f212(x28523,x28524,x28525,x28522,x28526,x28527,x28528))
% 204.32/204.34 [2853]~E(x28531,x28532)+E(f212(x28533,x28534,x28535,x28536,x28531,x28537,x28538),f212(x28533,x28534,x28535,x28536,x28532,x28537,x28538))
% 204.32/204.34 [2854]~E(x28541,x28542)+E(f212(x28543,x28544,x28545,x28546,x28547,x28541,x28548),f212(x28543,x28544,x28545,x28546,x28547,x28542,x28548))
% 204.32/204.34 [2855]~E(x28551,x28552)+E(f212(x28553,x28554,x28555,x28556,x28557,x28558,x28551),f212(x28553,x28554,x28555,x28556,x28557,x28558,x28552))
% 204.32/204.34 [2856]~E(x28561,x28562)+E(f439(x28561,x28563,x28564),f439(x28562,x28563,x28564))
% 204.32/204.34 [2857]~E(x28571,x28572)+E(f439(x28573,x28571,x28574),f439(x28573,x28572,x28574))
% 204.32/204.34 [2858]~E(x28581,x28582)+E(f439(x28583,x28584,x28581),f439(x28583,x28584,x28582))
% 204.32/204.34 [2859]~E(x28591,x28592)+E(f547(x28591,x28593,x28594,x28595),f547(x28592,x28593,x28594,x28595))
% 204.32/204.34 [2860]~E(x28601,x28602)+E(f547(x28603,x28601,x28604,x28605),f547(x28603,x28602,x28604,x28605))
% 204.32/204.34 [2861]~E(x28611,x28612)+E(f547(x28613,x28614,x28611,x28615),f547(x28613,x28614,x28612,x28615))
% 204.32/204.34 [2862]~E(x28621,x28622)+E(f547(x28623,x28624,x28625,x28621),f547(x28623,x28624,x28625,x28622))
% 204.32/204.34 [2863]~E(x28631,x28632)+E(f528(x28631,x28633,x28634),f528(x28632,x28633,x28634))
% 204.32/204.34 [2864]~E(x28641,x28642)+E(f528(x28643,x28641,x28644),f528(x28643,x28642,x28644))
% 204.32/204.34 [2865]~E(x28651,x28652)+E(f528(x28653,x28654,x28651),f528(x28653,x28654,x28652))
% 204.32/204.34 [2866]~E(x28661,x28662)+E(f469(x28661,x28663,x28664,x28665),f469(x28662,x28663,x28664,x28665))
% 204.32/204.34 [2867]~E(x28671,x28672)+E(f469(x28673,x28671,x28674,x28675),f469(x28673,x28672,x28674,x28675))
% 204.32/204.34 [2868]~E(x28681,x28682)+E(f469(x28683,x28684,x28681,x28685),f469(x28683,x28684,x28682,x28685))
% 204.32/204.34 [2869]~E(x28691,x28692)+E(f469(x28693,x28694,x28695,x28691),f469(x28693,x28694,x28695,x28692))
% 204.32/204.34 [2870]~E(x28701,x28702)+E(f825(x28701,x28703),f825(x28702,x28703))
% 204.32/204.34 [2871]~E(x28711,x28712)+E(f825(x28713,x28711),f825(x28713,x28712))
% 204.32/204.34 [2872]~E(x28721,x28722)+E(f343(x28721,x28723,x28724,x28725,x28726),f343(x28722,x28723,x28724,x28725,x28726))
% 204.32/204.34 [2873]~E(x28731,x28732)+E(f343(x28733,x28731,x28734,x28735,x28736),f343(x28733,x28732,x28734,x28735,x28736))
% 204.32/204.34 [2874]~E(x28741,x28742)+E(f343(x28743,x28744,x28741,x28745,x28746),f343(x28743,x28744,x28742,x28745,x28746))
% 204.32/204.34 [2875]~E(x28751,x28752)+E(f343(x28753,x28754,x28755,x28751,x28756),f343(x28753,x28754,x28755,x28752,x28756))
% 204.32/204.34 [2876]~E(x28761,x28762)+E(f343(x28763,x28764,x28765,x28766,x28761),f343(x28763,x28764,x28765,x28766,x28762))
% 204.32/204.34 [2877]~E(x28771,x28772)+E(f373(x28771),f373(x28772))
% 204.32/204.34 [2878]~E(x28781,x28782)+E(f475(x28781,x28783,x28784),f475(x28782,x28783,x28784))
% 204.32/204.34 [2879]~E(x28791,x28792)+E(f475(x28793,x28791,x28794),f475(x28793,x28792,x28794))
% 204.32/204.34 [2880]~E(x28801,x28802)+E(f475(x28803,x28804,x28801),f475(x28803,x28804,x28802))
% 204.32/204.34 [2881]~E(x28811,x28812)+E(f280(x28811,x28813,x28814,x28815),f280(x28812,x28813,x28814,x28815))
% 204.32/204.34 [2882]~E(x28821,x28822)+E(f280(x28823,x28821,x28824,x28825),f280(x28823,x28822,x28824,x28825))
% 204.32/204.34 [2883]~E(x28831,x28832)+E(f280(x28833,x28834,x28831,x28835),f280(x28833,x28834,x28832,x28835))
% 204.32/204.34 [2884]~E(x28841,x28842)+E(f280(x28843,x28844,x28845,x28841),f280(x28843,x28844,x28845,x28842))
% 204.32/204.34 [2885]~E(x28851,x28852)+E(f44(x28851),f44(x28852))
% 204.32/204.34 [2886]~E(x28861,x28862)+E(f840(x28861,x28863,x28864),f840(x28862,x28863,x28864))
% 204.32/204.34 [2887]~E(x28871,x28872)+E(f840(x28873,x28871,x28874),f840(x28873,x28872,x28874))
% 204.32/204.34 [2888]~E(x28881,x28882)+E(f840(x28883,x28884,x28881),f840(x28883,x28884,x28882))
% 204.32/204.34 [2889]~E(x28891,x28892)+E(f742(x28891,x28893),f742(x28892,x28893))
% 204.32/204.34 [2890]~E(x28901,x28902)+E(f742(x28903,x28901),f742(x28903,x28902))
% 204.32/204.34 [2891]~E(x28911,x28912)+E(f614(x28911,x28913),f614(x28912,x28913))
% 204.32/204.34 [2892]~E(x28921,x28922)+E(f614(x28923,x28921),f614(x28923,x28922))
% 204.32/204.34 [2893]~E(x28931,x28932)+E(f452(x28931),f452(x28932))
% 204.32/204.34 [2894]~P1(x28941)+P1(x28942)+~E(x28941,x28942)
% 204.32/204.34 [2895]~P107(x28951)+P107(x28952)+~E(x28951,x28952)
% 204.32/204.34 [2896]P23(x28962,x28963,x28964)+~E(x28961,x28962)+~P23(x28961,x28963,x28964)
% 204.32/204.34 [2897]P23(x28973,x28972,x28974)+~E(x28971,x28972)+~P23(x28973,x28971,x28974)
% 204.32/204.34 [2898]P23(x28983,x28984,x28982)+~E(x28981,x28982)+~P23(x28983,x28984,x28981)
% 204.32/204.34 [2899]~P108(x28991)+P108(x28992)+~E(x28991,x28992)
% 204.32/204.34 [2900]~P81(x29001)+P81(x29002)+~E(x29001,x29002)
% 204.32/204.34 [2901]~P97(x29011)+P97(x29012)+~E(x29011,x29012)
% 204.32/204.34 [2902]~P103(x29021)+P103(x29022)+~E(x29021,x29022)
% 204.32/204.34 [2903]~P109(x29031)+P109(x29032)+~E(x29031,x29032)
% 204.32/204.34 [2904]~P4(x29041)+P4(x29042)+~E(x29041,x29042)
% 204.32/204.34 [2905]~P88(x29051)+P88(x29052)+~E(x29051,x29052)
% 204.32/204.34 [2906]~P110(x29061)+P110(x29062)+~E(x29061,x29062)
% 204.32/204.34 [2907]P24(x29072,x29073,x29074,x29075)+~E(x29071,x29072)+~P24(x29071,x29073,x29074,x29075)
% 204.32/204.34 [2908]P24(x29083,x29082,x29084,x29085)+~E(x29081,x29082)+~P24(x29083,x29081,x29084,x29085)
% 204.32/204.34 [2909]P24(x29093,x29094,x29092,x29095)+~E(x29091,x29092)+~P24(x29093,x29094,x29091,x29095)
% 204.32/204.34 [2910]P24(x29103,x29104,x29105,x29102)+~E(x29101,x29102)+~P24(x29103,x29104,x29105,x29101)
% 204.32/204.34 [2911]P55(x29112,x29113,x29114)+~E(x29111,x29112)+~P55(x29111,x29113,x29114)
% 204.32/204.34 [2912]P55(x29123,x29122,x29124)+~E(x29121,x29122)+~P55(x29123,x29121,x29124)
% 204.32/204.34 [2913]P55(x29133,x29134,x29132)+~E(x29131,x29132)+~P55(x29133,x29134,x29131)
% 204.32/204.34 [2914]~P102(x29141)+P102(x29142)+~E(x29141,x29142)
% 204.32/204.34 [2915]~P111(x29151)+P111(x29152)+~E(x29151,x29152)
% 204.32/204.34 [2916]~P67(x29161)+P67(x29162)+~E(x29161,x29162)
% 204.32/204.34 [2917]P15(x29172,x29173,x29174)+~E(x29171,x29172)+~P15(x29171,x29173,x29174)
% 204.32/204.34 [2918]P15(x29183,x29182,x29184)+~E(x29181,x29182)+~P15(x29183,x29181,x29184)
% 204.32/204.34 [2919]P15(x29193,x29194,x29192)+~E(x29191,x29192)+~P15(x29193,x29194,x29191)
% 204.32/204.34 [2920]P149(x29202,x29203,x29204)+~E(x29201,x29202)+~P149(x29201,x29203,x29204)
% 204.32/204.34 [2921]P149(x29213,x29212,x29214)+~E(x29211,x29212)+~P149(x29213,x29211,x29214)
% 204.32/204.34 [2922]P149(x29223,x29224,x29222)+~E(x29221,x29222)+~P149(x29223,x29224,x29221)
% 204.32/204.34 [2923]~P2(x29231)+P2(x29232)+~E(x29231,x29232)
% 204.32/204.34 [2924]P53(x29242,x29243,x29244)+~E(x29241,x29242)+~P53(x29241,x29243,x29244)
% 204.32/204.34 [2925]P53(x29253,x29252,x29254)+~E(x29251,x29252)+~P53(x29253,x29251,x29254)
% 204.32/204.34 [2926]P53(x29263,x29264,x29262)+~E(x29261,x29262)+~P53(x29263,x29264,x29261)
% 204.32/204.34 [2927]P148(x29272,x29273,x29274)+~E(x29271,x29272)+~P148(x29271,x29273,x29274)
% 204.32/204.34 [2928]P148(x29283,x29282,x29284)+~E(x29281,x29282)+~P148(x29283,x29281,x29284)
% 204.32/204.34 [2929]P148(x29293,x29294,x29292)+~E(x29291,x29292)+~P148(x29293,x29294,x29291)
% 204.32/204.34 [2930]~P41(x29301)+P41(x29302)+~E(x29301,x29302)
% 204.32/204.34 [2931]~P79(x29311)+P79(x29312)+~E(x29311,x29312)
% 204.32/204.34 [2932]P40(x29322,x29323)+~E(x29321,x29322)+~P40(x29321,x29323)
% 204.32/204.34 [2933]P40(x29333,x29332)+~E(x29331,x29332)+~P40(x29333,x29331)
% 204.32/204.34 [2934]~P95(x29341)+P95(x29342)+~E(x29341,x29342)
% 204.32/204.34 [2935]~P80(x29351)+P80(x29352)+~E(x29351,x29352)
% 204.32/204.34 [2936]~P129(x29361)+P129(x29362)+~E(x29361,x29362)
% 204.32/204.34 [2937]P12(x29372,x29373)+~E(x29371,x29372)+~P12(x29371,x29373)
% 204.32/204.34 [2938]P12(x29383,x29382)+~E(x29381,x29382)+~P12(x29383,x29381)
% 204.32/204.34 [2939]~P96(x29391)+P96(x29392)+~E(x29391,x29392)
% 204.32/204.34 [2940]~P66(x29401)+P66(x29402)+~E(x29401,x29402)
% 204.32/204.34 [2941]~P3(x29411)+P3(x29412)+~E(x29411,x29412)
% 204.32/204.34 [2942]~P127(x29421)+P127(x29422)+~E(x29421,x29422)
% 204.32/204.34 [2943]~P68(x29431)+P68(x29432)+~E(x29431,x29432)
% 204.32/204.34 [2944]~P69(x29441)+P69(x29442)+~E(x29441,x29442)
% 204.32/204.34 [2945]~P72(x29451)+P72(x29452)+~E(x29451,x29452)
% 204.32/204.34 [2946]P14(x29462,x29463)+~E(x29461,x29462)+~P14(x29461,x29463)
% 204.32/204.34 [2947]P14(x29473,x29472)+~E(x29471,x29472)+~P14(x29473,x29471)
% 204.32/204.34 [2948]~P112(x29481)+P112(x29482)+~E(x29481,x29482)
% 204.32/204.34 [2949]~P71(x29491)+P71(x29492)+~E(x29491,x29492)
% 204.32/204.34 [2950]~P90(x29501)+P90(x29502)+~E(x29501,x29502)
% 204.32/204.34 [2951]P56(x29512,x29513,x29514)+~E(x29511,x29512)+~P56(x29511,x29513,x29514)
% 204.32/204.34 [2952]P56(x29523,x29522,x29524)+~E(x29521,x29522)+~P56(x29523,x29521,x29524)
% 204.32/204.34 [2953]P56(x29533,x29534,x29532)+~E(x29531,x29532)+~P56(x29533,x29534,x29531)
% 204.32/204.34 [2954]P36(x29542,x29543,x29544)+~E(x29541,x29542)+~P36(x29541,x29543,x29544)
% 204.32/204.34 [2955]P36(x29553,x29552,x29554)+~E(x29551,x29552)+~P36(x29553,x29551,x29554)
% 204.32/204.34 [2956]P36(x29563,x29564,x29562)+~E(x29561,x29562)+~P36(x29563,x29564,x29561)
% 204.32/204.34 [2957]P33(x29572,x29573,x29574,x29575)+~E(x29571,x29572)+~P33(x29571,x29573,x29574,x29575)
% 204.32/204.34 [2958]P33(x29583,x29582,x29584,x29585)+~E(x29581,x29582)+~P33(x29583,x29581,x29584,x29585)
% 204.32/204.34 [2959]P33(x29593,x29594,x29592,x29595)+~E(x29591,x29592)+~P33(x29593,x29594,x29591,x29595)
% 204.32/204.34 [2960]P33(x29603,x29604,x29605,x29602)+~E(x29601,x29602)+~P33(x29603,x29604,x29605,x29601)
% 204.32/204.34 [2961]~P98(x29611)+P98(x29612)+~E(x29611,x29612)
% 204.32/204.34 [2962]P7(x29622,x29623,x29624)+~E(x29621,x29622)+~P7(x29621,x29623,x29624)
% 204.32/204.34 [2963]P7(x29633,x29632,x29634)+~E(x29631,x29632)+~P7(x29633,x29631,x29634)
% 204.32/204.34 [2964]P7(x29643,x29644,x29642)+~E(x29641,x29642)+~P7(x29643,x29644,x29641)
% 204.32/204.34 [2965]P25(x29652,x29653,x29654,x29655,x29656)+~E(x29651,x29652)+~P25(x29651,x29653,x29654,x29655,x29656)
% 204.32/204.34 [2966]P25(x29663,x29662,x29664,x29665,x29666)+~E(x29661,x29662)+~P25(x29663,x29661,x29664,x29665,x29666)
% 204.32/204.34 [2967]P25(x29673,x29674,x29672,x29675,x29676)+~E(x29671,x29672)+~P25(x29673,x29674,x29671,x29675,x29676)
% 204.32/204.34 [2968]P25(x29683,x29684,x29685,x29682,x29686)+~E(x29681,x29682)+~P25(x29683,x29684,x29685,x29681,x29686)
% 204.32/204.34 [2969]P25(x29693,x29694,x29695,x29696,x29692)+~E(x29691,x29692)+~P25(x29693,x29694,x29695,x29696,x29691)
% 204.32/204.34 [2970]~P131(x29701)+P131(x29702)+~E(x29701,x29702)
% 204.32/204.34 [2971]~P100(x29711)+P100(x29712)+~E(x29711,x29712)
% 204.32/204.34 [2972]~P61(x29721)+P61(x29722)+~E(x29721,x29722)
% 204.32/204.34 [2973]P35(x29732,x29733,x29734,x29735,x29736)+~E(x29731,x29732)+~P35(x29731,x29733,x29734,x29735,x29736)
% 204.32/204.34 [2974]P35(x29743,x29742,x29744,x29745,x29746)+~E(x29741,x29742)+~P35(x29743,x29741,x29744,x29745,x29746)
% 204.32/204.34 [2975]P35(x29753,x29754,x29752,x29755,x29756)+~E(x29751,x29752)+~P35(x29753,x29754,x29751,x29755,x29756)
% 204.32/204.34 [2976]P35(x29763,x29764,x29765,x29762,x29766)+~E(x29761,x29762)+~P35(x29763,x29764,x29765,x29761,x29766)
% 204.32/204.34 [2977]P35(x29773,x29774,x29775,x29776,x29772)+~E(x29771,x29772)+~P35(x29773,x29774,x29775,x29776,x29771)
% 204.32/204.34 [2978]~P140(x29781)+P140(x29782)+~E(x29781,x29782)
% 204.32/204.34 [2979]P28(x29792,x29793)+~E(x29791,x29792)+~P28(x29791,x29793)
% 204.32/204.34 [2980]P28(x29803,x29802)+~E(x29801,x29802)+~P28(x29803,x29801)
% 204.32/204.34 [2981]P19(x29812,x29813,x29814,x29815)+~E(x29811,x29812)+~P19(x29811,x29813,x29814,x29815)
% 204.32/204.34 [2982]P19(x29823,x29822,x29824,x29825)+~E(x29821,x29822)+~P19(x29823,x29821,x29824,x29825)
% 204.32/204.34 [2983]P19(x29833,x29834,x29832,x29835)+~E(x29831,x29832)+~P19(x29833,x29834,x29831,x29835)
% 204.32/204.34 [2984]P19(x29843,x29844,x29845,x29842)+~E(x29841,x29842)+~P19(x29843,x29844,x29845,x29841)
% 204.32/204.34 [2985]~P138(x29851)+P138(x29852)+~E(x29851,x29852)
% 204.32/204.34 [2986]~P85(x29861)+P85(x29862)+~E(x29861,x29862)
% 204.32/204.34 [2987]~P63(x29871)+P63(x29872)+~E(x29871,x29872)
% 204.32/204.34 [2988]P32(x29882,x29883,x29884)+~E(x29881,x29882)+~P32(x29881,x29883,x29884)
% 204.32/204.34 [2989]P32(x29893,x29892,x29894)+~E(x29891,x29892)+~P32(x29893,x29891,x29894)
% 204.32/204.34 [2990]P32(x29903,x29904,x29902)+~E(x29901,x29902)+~P32(x29903,x29904,x29901)
% 204.32/204.34 [2991]~P73(x29911)+P73(x29912)+~E(x29911,x29912)
% 204.32/204.34 [2992]P30(x29922,x29923,x29924)+~E(x29921,x29922)+~P30(x29921,x29923,x29924)
% 204.32/204.34 [2993]P30(x29933,x29932,x29934)+~E(x29931,x29932)+~P30(x29933,x29931,x29934)
% 204.32/204.34 [2994]P30(x29943,x29944,x29942)+~E(x29941,x29942)+~P30(x29943,x29944,x29941)
% 204.32/204.34 [2995]P38(x29952,x29953)+~E(x29951,x29952)+~P38(x29951,x29953)
% 204.32/204.34 [2996]P38(x29963,x29962)+~E(x29961,x29962)+~P38(x29963,x29961)
% 204.32/204.34 [2997]~P74(x29971)+P74(x29972)+~E(x29971,x29972)
% 204.32/204.34 [2998]P58(x29982,x29983)+~E(x29981,x29982)+~P58(x29981,x29983)
% 204.32/204.34 [2999]P58(x29993,x29992)+~E(x29991,x29992)+~P58(x29993,x29991)
% 204.32/204.34 [3000]~P147(x30001)+P147(x30002)+~E(x30001,x30002)
% 204.32/204.34 [3001]~P70(x30011)+P70(x30012)+~E(x30011,x30012)
% 204.32/204.34 [3002]~P124(x30021)+P124(x30022)+~E(x30021,x30022)
% 204.32/204.34 [3003]~P64(x30031)+P64(x30032)+~E(x30031,x30032)
% 204.32/204.34 [3004]~P86(x30041)+P86(x30042)+~E(x30041,x30042)
% 204.32/204.34 [3005]P43(x30052,x30053,x30054,x30055,x30056,x30057)+~E(x30051,x30052)+~P43(x30051,x30053,x30054,x30055,x30056,x30057)
% 204.32/204.34 [3006]P43(x30063,x30062,x30064,x30065,x30066,x30067)+~E(x30061,x30062)+~P43(x30063,x30061,x30064,x30065,x30066,x30067)
% 204.32/204.34 [3007]P43(x30073,x30074,x30072,x30075,x30076,x30077)+~E(x30071,x30072)+~P43(x30073,x30074,x30071,x30075,x30076,x30077)
% 204.32/204.34 [3008]P43(x30083,x30084,x30085,x30082,x30086,x30087)+~E(x30081,x30082)+~P43(x30083,x30084,x30085,x30081,x30086,x30087)
% 204.32/204.34 [3009]P43(x30093,x30094,x30095,x30096,x30092,x30097)+~E(x30091,x30092)+~P43(x30093,x30094,x30095,x30096,x30091,x30097)
% 204.32/204.34 [3010]P43(x30103,x30104,x30105,x30106,x30107,x30102)+~E(x30101,x30102)+~P43(x30103,x30104,x30105,x30106,x30107,x30101)
% 204.32/204.34 [3011]P21(x30112,x30113,x30114,x30115,x30116,x30117)+~E(x30111,x30112)+~P21(x30111,x30113,x30114,x30115,x30116,x30117)
% 204.32/204.34 [3012]P21(x30123,x30122,x30124,x30125,x30126,x30127)+~E(x30121,x30122)+~P21(x30123,x30121,x30124,x30125,x30126,x30127)
% 204.32/204.34 [3013]P21(x30133,x30134,x30132,x30135,x30136,x30137)+~E(x30131,x30132)+~P21(x30133,x30134,x30131,x30135,x30136,x30137)
% 204.32/204.34 [3014]P21(x30143,x30144,x30145,x30142,x30146,x30147)+~E(x30141,x30142)+~P21(x30143,x30144,x30145,x30141,x30146,x30147)
% 204.32/204.34 [3015]P21(x30153,x30154,x30155,x30156,x30152,x30157)+~E(x30151,x30152)+~P21(x30153,x30154,x30155,x30156,x30151,x30157)
% 204.32/204.34 [3016]P21(x30163,x30164,x30165,x30166,x30167,x30162)+~E(x30161,x30162)+~P21(x30163,x30164,x30165,x30166,x30167,x30161)
% 204.32/204.34 [3017]~P87(x30171)+P87(x30172)+~E(x30171,x30172)
% 204.32/204.34 [3018]~P114(x30181)+P114(x30182)+~E(x30181,x30182)
% 204.32/204.34 [3019]P10(x30192,x30193,x30194,x30195)+~E(x30191,x30192)+~P10(x30191,x30193,x30194,x30195)
% 204.32/204.34 [3020]P10(x30203,x30202,x30204,x30205)+~E(x30201,x30202)+~P10(x30203,x30201,x30204,x30205)
% 204.32/204.34 [3021]P10(x30213,x30214,x30212,x30215)+~E(x30211,x30212)+~P10(x30213,x30214,x30211,x30215)
% 204.32/204.34 [3022]P10(x30223,x30224,x30225,x30222)+~E(x30221,x30222)+~P10(x30223,x30224,x30225,x30221)
% 204.32/204.34 [3023]~P76(x30231)+P76(x30232)+~E(x30231,x30232)
% 204.32/204.34 [3024]~P113(x30241)+P113(x30242)+~E(x30241,x30242)
% 204.32/204.34 [3025]P39(x30252,x30253)+~E(x30251,x30252)+~P39(x30251,x30253)
% 204.32/204.34 [3026]P39(x30263,x30262)+~E(x30261,x30262)+~P39(x30263,x30261)
% 204.32/204.34 [3027]~P141(x30271)+P141(x30272)+~E(x30271,x30272)
% 204.32/204.34 [3028]P34(x30282,x30283,x30284)+~E(x30281,x30282)+~P34(x30281,x30283,x30284)
% 204.32/204.34 [3029]P34(x30293,x30292,x30294)+~E(x30291,x30292)+~P34(x30293,x30291,x30294)
% 204.32/204.34 [3030]P34(x30303,x30304,x30302)+~E(x30301,x30302)+~P34(x30303,x30304,x30301)
% 204.32/204.34 [3031]~P120(x30311)+P120(x30312)+~E(x30311,x30312)
% 204.32/204.34 [3032]~P115(x30321)+P115(x30322)+~E(x30321,x30322)
% 204.32/204.34 [3033]~P142(x30331)+P142(x30332)+~E(x30331,x30332)
% 204.32/204.34 [3034]~P77(x30341)+P77(x30342)+~E(x30341,x30342)
% 204.32/204.34 [3035]~P145(x30351)+P145(x30352)+~E(x30351,x30352)
% 204.32/204.34 [3036]P6(x30362,x30363)+~E(x30361,x30362)+~P6(x30361,x30363)
% 204.32/204.34 [3037]P6(x30373,x30372)+~E(x30371,x30372)+~P6(x30373,x30371)
% 204.32/204.34 [3038]~P94(x30381)+P94(x30382)+~E(x30381,x30382)
% 204.32/204.34 [3039]~P65(x30391)+P65(x30392)+~E(x30391,x30392)
% 204.32/204.34 [3040]P18(x30402,x30403,x30404,x30405)+~E(x30401,x30402)+~P18(x30401,x30403,x30404,x30405)
% 204.32/204.34 [3041]P18(x30413,x30412,x30414,x30415)+~E(x30411,x30412)+~P18(x30413,x30411,x30414,x30415)
% 204.32/204.34 [3042]P18(x30423,x30424,x30422,x30425)+~E(x30421,x30422)+~P18(x30423,x30424,x30421,x30425)
% 204.32/204.34 [3043]P18(x30433,x30434,x30435,x30432)+~E(x30431,x30432)+~P18(x30433,x30434,x30435,x30431)
% 204.32/204.34 [3044]~P116(x30441)+P116(x30442)+~E(x30441,x30442)
% 204.32/204.34 [3045]~P82(x30451)+P82(x30452)+~E(x30451,x30452)
% 204.32/204.34 [3046]P48(x30462,x30463,x30464)+~E(x30461,x30462)+~P48(x30461,x30463,x30464)
% 204.32/204.34 [3047]P48(x30473,x30472,x30474)+~E(x30471,x30472)+~P48(x30473,x30471,x30474)
% 204.32/204.34 [3048]P48(x30483,x30484,x30482)+~E(x30481,x30482)+~P48(x30483,x30484,x30481)
% 204.32/204.34 [3049]P51(x30492,x30493)+~E(x30491,x30492)+~P51(x30491,x30493)
% 204.32/204.34 [3050]P51(x30503,x30502)+~E(x30501,x30502)+~P51(x30503,x30501)
% 204.32/204.34 [3051]~P83(x30511)+P83(x30512)+~E(x30511,x30512)
% 204.32/204.34 [3052]P59(x30522,x30523,x30524,x30525)+~E(x30521,x30522)+~P59(x30521,x30523,x30524,x30525)
% 204.32/204.34 [3053]P59(x30533,x30532,x30534,x30535)+~E(x30531,x30532)+~P59(x30533,x30531,x30534,x30535)
% 204.32/204.34 [3054]P59(x30543,x30544,x30542,x30545)+~E(x30541,x30542)+~P59(x30543,x30544,x30541,x30545)
% 204.32/204.34 [3055]P59(x30553,x30554,x30555,x30552)+~E(x30551,x30552)+~P59(x30553,x30554,x30555,x30551)
% 204.32/204.34 [3056]~P84(x30561)+P84(x30562)+~E(x30561,x30562)
% 204.32/204.34 [3057]~P101(x30571)+P101(x30572)+~E(x30571,x30572)
% 204.32/204.34 [3058]P31(x30582,x30583,x30584)+~E(x30581,x30582)+~P31(x30581,x30583,x30584)
% 204.32/204.34 [3059]P31(x30593,x30592,x30594)+~E(x30591,x30592)+~P31(x30593,x30591,x30594)
% 204.32/204.34 [3060]P31(x30603,x30604,x30602)+~E(x30601,x30602)+~P31(x30603,x30604,x30601)
% 204.32/204.34 [3061]P52(x30612,x30613)+~E(x30611,x30612)+~P52(x30611,x30613)
% 204.32/204.34 [3062]P52(x30623,x30622)+~E(x30621,x30622)+~P52(x30623,x30621)
% 204.32/204.34 [3063]~P5(x30631)+P5(x30632)+~E(x30631,x30632)
% 204.32/204.34 [3064]~P89(x30641)+P89(x30642)+~E(x30641,x30642)
% 204.32/204.34 [3065]~P144(x30651)+P144(x30652)+~E(x30651,x30652)
% 204.32/204.34 [3066]P22(x30662,x30663,x30664,x30665,x30666,x30667)+~E(x30661,x30662)+~P22(x30661,x30663,x30664,x30665,x30666,x30667)
% 204.32/204.34 [3067]P22(x30673,x30672,x30674,x30675,x30676,x30677)+~E(x30671,x30672)+~P22(x30673,x30671,x30674,x30675,x30676,x30677)
% 204.32/204.34 [3068]P22(x30683,x30684,x30682,x30685,x30686,x30687)+~E(x30681,x30682)+~P22(x30683,x30684,x30681,x30685,x30686,x30687)
% 204.32/204.34 [3069]P22(x30693,x30694,x30695,x30692,x30696,x30697)+~E(x30691,x30692)+~P22(x30693,x30694,x30695,x30691,x30696,x30697)
% 204.32/204.34 [3070]P22(x30703,x30704,x30705,x30706,x30702,x30707)+~E(x30701,x30702)+~P22(x30703,x30704,x30705,x30706,x30701,x30707)
% 204.32/204.34 [3071]P22(x30713,x30714,x30715,x30716,x30717,x30712)+~E(x30711,x30712)+~P22(x30713,x30714,x30715,x30716,x30717,x30711)
% 204.32/204.34 [3072]~P75(x30721)+P75(x30722)+~E(x30721,x30722)
% 204.32/204.34 [3073]P60(x30732,x30733)+~E(x30731,x30732)+~P60(x30731,x30733)
% 204.32/204.34 [3074]P60(x30743,x30742)+~E(x30741,x30742)+~P60(x30743,x30741)
% 204.32/204.34 [3075]~P104(x30751)+P104(x30752)+~E(x30751,x30752)
% 204.32/204.34 [3076]P20(x30762,x30763,x30764,x30765,x30766)+~E(x30761,x30762)+~P20(x30761,x30763,x30764,x30765,x30766)
% 204.32/204.34 [3077]P20(x30773,x30772,x30774,x30775,x30776)+~E(x30771,x30772)+~P20(x30773,x30771,x30774,x30775,x30776)
% 204.32/204.34 [3078]P20(x30783,x30784,x30782,x30785,x30786)+~E(x30781,x30782)+~P20(x30783,x30784,x30781,x30785,x30786)
% 204.32/204.34 [3079]P20(x30793,x30794,x30795,x30792,x30796)+~E(x30791,x30792)+~P20(x30793,x30794,x30795,x30791,x30796)
% 204.32/204.34 [3080]P20(x30803,x30804,x30805,x30806,x30802)+~E(x30801,x30802)+~P20(x30803,x30804,x30805,x30806,x30801)
% 204.32/204.34 [3081]~P130(x30811)+P130(x30812)+~E(x30811,x30812)
% 204.32/204.34 [3082]~P117(x30821)+P117(x30822)+~E(x30821,x30822)
% 204.32/204.34 [3083]P17(x30832,x30833,x30834)+~E(x30831,x30832)+~P17(x30831,x30833,x30834)
% 204.32/204.34 [3084]P17(x30843,x30842,x30844)+~E(x30841,x30842)+~P17(x30843,x30841,x30844)
% 204.32/204.34 [3085]P17(x30853,x30854,x30852)+~E(x30851,x30852)+~P17(x30853,x30854,x30851)
% 204.32/204.34 [3086]~P93(x30861)+P93(x30862)+~E(x30861,x30862)
% 204.32/204.34 [3087]~P135(x30871)+P135(x30872)+~E(x30871,x30872)
% 204.32/204.34 [3088]~P146(x30881)+P146(x30882)+~E(x30881,x30882)
% 204.32/204.34 [3089]~P121(x30891)+P121(x30892)+~E(x30891,x30892)
% 204.32/204.34 [3090]P11(x30902,x30903,x30904,x30905,x30906,x30907)+~E(x30901,x30902)+~P11(x30901,x30903,x30904,x30905,x30906,x30907)
% 204.32/204.34 [3091]P11(x30913,x30912,x30914,x30915,x30916,x30917)+~E(x30911,x30912)+~P11(x30913,x30911,x30914,x30915,x30916,x30917)
% 204.32/204.34 [3092]P11(x30923,x30924,x30922,x30925,x30926,x30927)+~E(x30921,x30922)+~P11(x30923,x30924,x30921,x30925,x30926,x30927)
% 204.32/204.34 [3093]P11(x30933,x30934,x30935,x30932,x30936,x30937)+~E(x30931,x30932)+~P11(x30933,x30934,x30935,x30931,x30936,x30937)
% 204.32/204.34 [3094]P11(x30943,x30944,x30945,x30946,x30942,x30947)+~E(x30941,x30942)+~P11(x30943,x30944,x30945,x30946,x30941,x30947)
% 204.32/204.34 [3095]P11(x30953,x30954,x30955,x30956,x30957,x30952)+~E(x30951,x30952)+~P11(x30953,x30954,x30955,x30956,x30957,x30951)
% 204.32/204.34 [3096]P44(x30962,x30963)+~E(x30961,x30962)+~P44(x30961,x30963)
% 204.32/204.34 [3097]P44(x30973,x30972)+~E(x30971,x30972)+~P44(x30973,x30971)
% 204.32/204.34 [3098]~P99(x30981)+P99(x30982)+~E(x30981,x30982)
% 204.32/204.34 [3099]~P136(x30991)+P136(x30992)+~E(x30991,x30992)
% 204.32/204.34 [3100]~P122(x31001)+P122(x31002)+~E(x31001,x31002)
% 204.32/204.34 [3101]P54(x31012,x31013)+~E(x31011,x31012)+~P54(x31011,x31013)
% 204.32/204.34 [3102]P54(x31023,x31022)+~E(x31021,x31022)+~P54(x31023,x31021)
% 204.32/204.34 [3103]~P128(x31031)+P128(x31032)+~E(x31031,x31032)
% 204.32/204.34 [3104]P49(x31042,x31043,x31044)+~E(x31041,x31042)+~P49(x31041,x31043,x31044)
% 204.32/204.34 [3105]P49(x31053,x31052,x31054)+~E(x31051,x31052)+~P49(x31053,x31051,x31054)
% 204.32/204.34 [3106]P49(x31063,x31064,x31062)+~E(x31061,x31062)+~P49(x31063,x31064,x31061)
% 204.32/204.34 [3107]P13(x31072,x31073,x31074)+~E(x31071,x31072)+~P13(x31071,x31073,x31074)
% 204.32/204.34 [3108]P13(x31083,x31082,x31084)+~E(x31081,x31082)+~P13(x31083,x31081,x31084)
% 204.32/204.34 [3109]P13(x31093,x31094,x31092)+~E(x31091,x31092)+~P13(x31093,x31094,x31091)
% 204.32/204.34 [3110]~P143(x31101)+P143(x31102)+~E(x31101,x31102)
% 204.32/204.34 [3111]~P62(x31111)+P62(x31112)+~E(x31111,x31112)
% 204.32/204.34 [3112]~P118(x31121)+P118(x31122)+~E(x31121,x31122)
% 204.32/204.34 [3113]P57(x31132,x31133,x31134,x31135,x31136)+~E(x31131,x31132)+~P57(x31131,x31133,x31134,x31135,x31136)
% 204.32/204.34 [3114]P57(x31143,x31142,x31144,x31145,x31146)+~E(x31141,x31142)+~P57(x31143,x31141,x31144,x31145,x31146)
% 204.32/204.34 [3115]P57(x31153,x31154,x31152,x31155,x31156)+~E(x31151,x31152)+~P57(x31153,x31154,x31151,x31155,x31156)
% 204.32/204.34 [3116]P57(x31163,x31164,x31165,x31162,x31166)+~E(x31161,x31162)+~P57(x31163,x31164,x31165,x31161,x31166)
% 204.32/204.34 [3117]P57(x31173,x31174,x31175,x31176,x31172)+~E(x31171,x31172)+~P57(x31173,x31174,x31175,x31176,x31171)
% 204.32/204.34 [3118]P26(x31182,x31183)+~E(x31181,x31182)+~P26(x31181,x31183)
% 204.32/204.34 [3119]P26(x31193,x31192)+~E(x31191,x31192)+~P26(x31193,x31191)
% 204.32/204.34 [3120]~P137(x31201)+P137(x31202)+~E(x31201,x31202)
% 204.32/204.34 [3121]P16(x31212,x31213,x31214)+~E(x31211,x31212)+~P16(x31211,x31213,x31214)
% 204.32/204.34 [3122]P16(x31223,x31222,x31224)+~E(x31221,x31222)+~P16(x31223,x31221,x31224)
% 204.32/204.34 [3123]P16(x31233,x31234,x31232)+~E(x31231,x31232)+~P16(x31233,x31234,x31231)
% 204.32/204.34 [3124]P50(x31242,x31243)+~E(x31241,x31242)+~P50(x31241,x31243)
% 204.32/204.34 [3125]P50(x31253,x31252)+~E(x31251,x31252)+~P50(x31253,x31251)
% 204.32/204.34 [3126]P42(x31262,x31263,x31264,x31265)+~E(x31261,x31262)+~P42(x31261,x31263,x31264,x31265)
% 204.32/204.34 [3127]P42(x31273,x31272,x31274,x31275)+~E(x31271,x31272)+~P42(x31273,x31271,x31274,x31275)
% 204.32/204.34 [3128]P42(x31283,x31284,x31282,x31285)+~E(x31281,x31282)+~P42(x31283,x31284,x31281,x31285)
% 204.32/204.34 [3129]P42(x31293,x31294,x31295,x31292)+~E(x31291,x31292)+~P42(x31293,x31294,x31295,x31291)
% 204.32/204.34 [3130]~P126(x31301)+P126(x31302)+~E(x31301,x31302)
% 204.32/204.34 [3131]~P92(x31311)+P92(x31312)+~E(x31311,x31312)
% 204.32/204.34 [3132]~P119(x31321)+P119(x31322)+~E(x31321,x31322)
% 204.32/204.34 [3133]P8(x31332,x31333,x31334)+~E(x31331,x31332)+~P8(x31331,x31333,x31334)
% 204.32/204.34 [3134]P8(x31343,x31342,x31344)+~E(x31341,x31342)+~P8(x31343,x31341,x31344)
% 204.32/204.34 [3135]P8(x31353,x31354,x31352)+~E(x31351,x31352)+~P8(x31353,x31354,x31351)
% 204.32/204.34 [3136]~P125(x31361)+P125(x31362)+~E(x31361,x31362)
% 204.32/204.34 [3137]~P132(x31371)+P132(x31372)+~E(x31371,x31372)
% 204.32/204.34 [3138]P47(x31382,x31383)+~E(x31381,x31382)+~P47(x31381,x31383)
% 204.32/204.34 [3139]P47(x31393,x31392)+~E(x31391,x31392)+~P47(x31393,x31391)
% 204.32/204.34 [3140]~P106(x31401)+P106(x31402)+~E(x31401,x31402)
% 204.32/204.34 [3141]~P133(x31411)+P133(x31412)+~E(x31411,x31412)
% 204.32/204.34 [3142]~P134(x31421)+P134(x31422)+~E(x31421,x31422)
% 204.32/204.34 [3143]~P105(x31431)+P105(x31432)+~E(x31431,x31432)
% 204.32/204.34 [3144]~P91(x31441)+P91(x31442)+~E(x31441,x31442)
% 204.32/204.34 [3145]~P37(x31451)+P37(x31452)+~E(x31451,x31452)
% 204.32/204.34 [3146]P45(x31462,x31463)+~E(x31461,x31462)+~P45(x31461,x31463)
% 204.32/204.34 [3147]P45(x31473,x31472)+~E(x31471,x31472)+~P45(x31473,x31471)
% 204.32/204.34 [3148]~P46(x31481)+P46(x31482)+~E(x31481,x31482)
% 204.32/204.34 [3149]P27(x31492,x31493,x31494)+~E(x31491,x31492)+~P27(x31491,x31493,x31494)
% 204.32/204.34 [3150]P27(x31503,x31502,x31504)+~E(x31501,x31502)+~P27(x31503,x31501,x31504)
% 204.32/204.34 [3151]P27(x31513,x31514,x31512)+~E(x31511,x31512)+~P27(x31513,x31514,x31511)
% 204.32/204.34 [3152]~P123(x31521)+P123(x31522)+~E(x31521,x31522)
% 204.32/204.34 [3153]~P29(x31531)+P29(x31532)+~E(x31531,x31532)
% 204.32/204.34 [3154]P9(x31542,x31543,x31544,x31545,x31546)+~E(x31541,x31542)+~P9(x31541,x31543,x31544,x31545,x31546)
% 204.32/204.34 [3155]P9(x31553,x31552,x31554,x31555,x31556)+~E(x31551,x31552)+~P9(x31553,x31551,x31554,x31555,x31556)
% 204.32/204.34 [3156]P9(x31563,x31564,x31562,x31565,x31566)+~E(x31561,x31562)+~P9(x31563,x31564,x31561,x31565,x31566)
% 204.32/204.34 [3157]P9(x31573,x31574,x31575,x31572,x31576)+~E(x31571,x31572)+~P9(x31573,x31574,x31575,x31571,x31576)
% 204.32/204.34 [3158]P9(x31583,x31584,x31585,x31586,x31582)+~E(x31581,x31582)+~P9(x31583,x31584,x31585,x31586,x31581)
% 204.32/204.34 [3159]~P78(x31591)+P78(x31592)+~E(x31591,x31592)
% 204.32/204.34 [3160]~P139(x31601)+P139(x31602)+~E(x31601,x31602)
% 204.32/204.34
% 204.32/204.34 %-------------------------------------------
% 204.32/204.40 cnf(10536,plain,
% 204.32/204.40 (E(f31(x105361,x105362,x105363,x105364,x105365,x105366,x105367,x105368,x105369,a25),x105362)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(10539,plain,
% 204.32/204.40 (~E(f331(a116,x105391),x105391)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10548,plain,
% 204.32/204.40 (~E(f331(f172(x105481),f331(a116,f331(f172(x105481),x105482))),x105482)),
% 204.32/204.40 inference(scs_inference,[],[4710,4723,10539,3391,3402,4781,4815,4841,4896,4900,4928,4943])).
% 204.32/204.40 cnf(10549,plain,
% 204.32/204.40 (~E(f331(a116,x105491),x105491)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10556,plain,
% 204.32/204.40 (E(f31(x105561,x105562,x105563,x105564,x105565,x105566,x105567,x105568,x105569,a25),x105562)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(10563,plain,
% 204.32/204.40 (~E(f331(a116,x105631),x105631)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10568,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x105681),f117(x105681)),x105682))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10571,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x105711),f117(x105711)),x105712))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10574,plain,
% 204.32/204.40 (~E(f331(a116,x105741),x105741)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10577,plain,
% 204.32/204.40 (~E(f331(a116,x105771),x105771)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10580,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x105801),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(10583,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x105831),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(10600,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x106001)),x106001))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(10603,plain,
% 204.32/204.40 (~E(f331(f331(f155(x106031),x106032),x106033),x106033)),
% 204.32/204.40 inference(rename_variables,[],[4742])).
% 204.32/204.40 cnf(10609,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x106091),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(10612,plain,
% 204.32/204.40 (E(f31(x106121,x106122,x106123,x106124,x106125,x106126,x106127,x106128,x106129,a25),x106122)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(10615,plain,
% 204.32/204.40 (E(f31(x106151,x106152,x106153,x106154,x106155,x106156,x106157,x106158,x106159,a25),x106152)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(10620,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x106201),x106201))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(10625,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x106251),x106252)),x106252))),
% 204.32/204.40 inference(rename_variables,[],[4798])).
% 204.32/204.40 cnf(10628,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x106281),x106282)),x106282))),
% 204.32/204.40 inference(rename_variables,[],[4798])).
% 204.32/204.40 cnf(10635,plain,
% 204.32/204.40 (~E(x106351,f331(a116,x106351))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,4723,10539,10549,10563,10574,3395,3456,3391,3418,3402,4742,3628,3542,4778,10580,10583,4775,4737,4783,10568,4774,4784,4382,4781,3535,4767,4800,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417])).
% 204.32/204.40 cnf(10639,plain,
% 204.32/204.40 (~P107(f331(f149(x106391,x106392),f331(f331(f256(f928(x106391),f928(x106391)),x106393),f117(x106391))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,4723,10539,10549,10563,10574,3395,3456,3391,3418,3402,4742,4804,3628,3542,4778,10580,10583,4145,4775,4737,4783,10568,4774,4784,4382,4781,3535,4767,4800,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426])).
% 204.32/204.40 cnf(10649,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x106491),x106491))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(10652,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f45(a927,x106521,x106522)),x106521))),
% 204.32/204.40 inference(rename_variables,[],[4016])).
% 204.32/204.40 cnf(10673,plain,
% 204.32/204.40 (E(f331(f35(a927),f331(f286(a927),x106731)),x106731)),
% 204.32/204.40 inference(rename_variables,[],[3453])).
% 204.32/204.40 cnf(10681,plain,
% 204.32/204.40 (~E(f331(a116,x106811),x106811)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10684,plain,
% 204.32/204.40 (~E(f331(a116,x106841),x106841)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10687,plain,
% 204.32/204.40 (~E(f331(a116,x106871),x106871)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10689,plain,
% 204.32/204.40 (P107(f331(a197,a101))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,4723,10539,10549,10563,10574,10577,10681,10684,3395,3456,3391,3418,3402,3489,4742,3453,4804,3474,3628,3542,4778,10580,10583,4145,3563,4775,4737,4783,10568,4774,10620,10649,3653,4079,4016,4784,10600,4382,4781,4766,3535,4767,4800,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561])).
% 204.32/204.40 cnf(10692,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x106921),f331(a116,x106921)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(10694,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x106941),f331(a116,x106941)))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,4723,10539,10549,10563,10574,10577,10681,10684,3395,3456,3391,3418,3402,3489,4742,3453,4804,3474,3628,3542,4778,10580,10583,4145,3563,4775,4737,4783,10568,4774,10620,10649,3653,4079,4016,4784,10600,4382,4781,4766,3535,4767,4800,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573])).
% 204.32/204.40 cnf(10701,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x107011),x107011))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(10708,plain,
% 204.32/204.40 (E(f31(x107081,x107082,x107083,x107084,x107085,x107086,x107087,x107088,x107089,a25),x107082)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(10711,plain,
% 204.32/204.40 (E(f31(x107111,x107112,x107113,x107114,x107115,x107116,x107117,x107118,x107119,a25),x107112)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(10728,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x107281),x107281))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(10733,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x107331),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(10736,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x107361,a923)),x107362),f246(f935(x107361,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3941])).
% 204.32/204.40 cnf(10740,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),f2(a1)),f372(f331(f176(x107401),f117(x107401)))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,3395,3456,3391,3418,3402,3489,4742,3453,4341,4804,3474,3628,10692,3542,4778,10580,10583,10609,3998,4145,3589,3563,4775,4737,4783,10568,10571,4291,3941,3559,3561,4774,10620,10649,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,4767,4800,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664])).
% 204.32/204.40 cnf(10741,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x107411),f117(x107411)),x107412))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10747,plain,
% 204.32/204.40 (E(f331(f331(f80(a927),x107471),f827(x107471,x107471)),x107471)),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,3395,3456,3391,3418,3402,3489,4742,3453,4341,4804,3474,3628,10692,3542,4778,10580,10583,10609,3998,4145,3589,3563,4775,4737,4783,10568,10571,4291,3941,3559,3560,3561,4774,10620,10649,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,4767,4800,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705])).
% 204.32/204.40 cnf(10770,plain,
% 204.32/204.40 (~E(f331(f331(f155(x107701),x107702),x107703),x107703)),
% 204.32/204.40 inference(rename_variables,[],[4742])).
% 204.32/204.40 cnf(10773,plain,
% 204.32/204.40 (~E(f331(a116,x107731),f2(a927))),
% 204.32/204.40 inference(rename_variables,[],[4733])).
% 204.32/204.40 cnf(10784,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x107841),x107841))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(10789,plain,
% 204.32/204.40 (~E(f331(a116,x107891),x107891)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10792,plain,
% 204.32/204.40 (~P107(f331(f331(f192(f935(x107921,f935(x107922,a923))),x107923),x107924))),
% 204.32/204.40 inference(rename_variables,[],[4801])).
% 204.32/204.40 cnf(10799,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x107991),x107991))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(10803,plain,
% 204.32/204.40 (~E(f331(f172(x108031),f331(f331(f155(x108031),x108032),x108033)),f117(x108031))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,4733,3395,3456,3391,3418,3402,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,3542,4778,10580,10583,10609,10733,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,4291,3941,3559,10701,3560,3561,10728,4774,10620,10649,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4767,4800,4801,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903])).
% 204.32/204.40 cnf(10812,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x108121),f331(a116,x108121)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(10833,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x108331,a923)),x108332),f246(f935(x108331,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3941])).
% 204.32/204.40 cnf(10836,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x108361),f117(x108361)),x108362))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10846,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x108461),f331(a116,f331(a116,x108461))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,4733,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,3542,4778,10580,10583,10609,10733,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,4291,3941,10736,3559,10701,3560,3561,10728,4774,10620,10649,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4800,4801,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001])).
% 204.32/204.40 cnf(10855,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x108551),f117(x108551)),x108552))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10861,plain,
% 204.32/204.40 (E(f68(x108611,x108612,f331(f176(x108613),f117(x108613))),x108612)),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,4733,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,3542,4778,10580,10583,10609,10733,4791,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,4291,3941,10736,3559,10701,3560,3561,10728,4774,10620,10649,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4800,4801,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052])).
% 204.32/204.40 cnf(10862,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x108621),f117(x108621)),x108622))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10873,plain,
% 204.32/204.40 (~E(f331(a116,x108731),f2(a927))),
% 204.32/204.40 inference(rename_variables,[],[4733])).
% 204.32/204.40 cnf(10878,plain,
% 204.32/204.40 (P107(f331(f331(f333(x108781),x108782),f246(f935(x108781,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(10882,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),f2(a927)),f331(a108,f78(a1))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,3542,4778,10580,10583,10609,10733,4791,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,4291,3941,10736,3559,10701,3560,3561,10728,4774,10620,10649,3713,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4800,4801,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139])).
% 204.32/204.40 cnf(10885,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x108851),f117(x108851)),x108852))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10890,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x108901),f331(a116,x108901)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(10893,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x108931),f117(x108931)),x108932))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10896,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x108961),f117(x108961)),x108962))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10899,plain,
% 204.32/204.40 (~P107(f331(f62(x108991,x108992,f192(f935(x108991,a923))),x108993))),
% 204.32/204.40 inference(rename_variables,[],[4797])).
% 204.32/204.40 cnf(10902,plain,
% 204.32/204.40 (~P107(f331(f62(x109021,x109022,f192(f935(x109021,a923))),x109023))),
% 204.32/204.40 inference(rename_variables,[],[4797])).
% 204.32/204.40 cnf(10904,plain,
% 204.32/204.40 (~P34(x109041,f331(f192(f935(x109042,f935(x109043,a923))),x109044),x109045)),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,3542,4778,10580,10583,10609,10733,4791,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,4291,3941,10736,3559,10701,3560,3561,10728,4774,10620,10649,3713,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4797,10899,4800,4801,10792,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168])).
% 204.32/204.40 cnf(10905,plain,
% 204.32/204.40 (~P107(f331(f331(f192(f935(x109051,f935(x109052,a923))),x109053),x109054))),
% 204.32/204.40 inference(rename_variables,[],[4801])).
% 204.32/204.40 cnf(10908,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x109081),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(10913,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x109131),f117(x109131)),x109132))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(10923,plain,
% 204.32/204.40 (~E(f331(f172(x109231),f331(a116,f331(f331(f138(x109231),f331(f172(x109231),x109232)),f331(f331(f155(x109231),x109233),f117(x109231))))),f331(f331(f155(x109231),x109233),x109232))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,10890,3542,4778,10580,10583,10609,10733,4791,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,3560,3561,10728,4774,10620,10649,3713,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4797,10899,4800,4801,10792,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256])).
% 204.32/204.40 cnf(10924,plain,
% 204.32/204.40 (~E(f331(a116,x109241),x109241)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(10942,plain,
% 204.32/204.40 (P107(f331(f331(f240(a103),f331(a3,x109421)),f331(a3,f331(a116,x109421))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,10890,4011,3542,4778,10580,10583,10609,10733,4791,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,3560,3561,10728,4774,10620,10649,3713,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4797,10899,4800,4801,10792,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339])).
% 204.32/204.40 cnf(10949,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x109491),x109491))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(10952,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x109521),f331(f331(f81(a927),x109521),x109521)))),
% 204.32/204.40 inference(rename_variables,[],[3822])).
% 204.32/204.40 cnf(10954,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x109541),f331(f331(f81(a927),f331(a116,x109541)),f331(a116,x109541))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,4341,4804,3474,3923,3628,10692,10812,10890,4011,3542,4778,10580,10583,10609,10733,4791,3998,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,3560,3561,10728,4774,10620,10649,3713,3653,4079,4016,10652,4784,10600,4382,4781,4766,3535,3539,4768,4767,4797,10899,3822,10952,4800,4801,10792,4039,4798,10625,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363])).
% 204.32/204.40 cnf(10955,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x109551),f331(f331(f81(a927),x109551),x109551)))),
% 204.32/204.40 inference(rename_variables,[],[3822])).
% 204.32/204.40 cnf(10958,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x109581),f331(a116,f331(f331(f80(a927),x109582),x109581))))),
% 204.32/204.40 inference(rename_variables,[],[4009])).
% 204.32/204.40 cnf(10963,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x109631),f331(a116,x109631)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(10966,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x109661),f331(a116,x109661)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(10969,plain,
% 204.32/204.40 (P107(f331(f331(f333(x109691),x109692),f246(f935(x109691,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(10988,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x109881)),x109881))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(10991,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x109911)),x109911))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(10994,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x109941),x109942)),x109942))),
% 204.32/204.40 inference(rename_variables,[],[4798])).
% 204.32/204.40 cnf(10997,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x109971),x109972)),x109972))),
% 204.32/204.40 inference(rename_variables,[],[4798])).
% 204.32/204.40 cnf(11000,plain,
% 204.32/204.40 (P107(f331(f246(f935(x110001,a923)),x110002))),
% 204.32/204.40 inference(rename_variables,[],[3621])).
% 204.32/204.40 cnf(11003,plain,
% 204.32/204.40 (E(f331(f35(a927),f331(f286(a927),x110031)),x110031)),
% 204.32/204.40 inference(rename_variables,[],[3453])).
% 204.32/204.40 cnf(11006,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x110061),f331(a116,x110061)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(11013,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x110131),x110131))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(11017,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f331(f107(a927),a83)),f331(f107(a927),x110171)))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,4011,3542,4778,10580,10583,10609,10733,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,10949,3560,3561,10728,10784,4774,10620,10649,3713,10878,3621,3653,4079,4016,10652,4784,10600,10988,4382,4781,4766,3535,3539,4768,4767,4797,10899,4803,3822,10952,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526])).
% 204.32/204.40 cnf(11018,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x110181),x110181))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(11027,plain,
% 204.32/204.40 (E(f31(x110271,x110272,x110273,x110274,x110275,x110276,x110277,x110278,x110279,a25),x110272)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11030,plain,
% 204.32/204.40 (P107(f331(f246(f935(x110301,a923)),x110302))),
% 204.32/204.40 inference(rename_variables,[],[3621])).
% 204.32/204.40 cnf(11032,plain,
% 204.32/204.40 (P32(x110321,f331(f239(a927),f2(a927)),x110322)),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,4011,3542,4778,10580,10583,10609,10733,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,10949,3560,3561,10728,10784,4774,10620,10649,3713,10878,3621,11000,3653,4079,4016,10652,4784,10600,10988,3581,4382,4781,4766,3535,3539,4768,4767,4797,10899,4803,3822,10952,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566])).
% 204.32/204.40 cnf(11033,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f2(a927)),x110331))),
% 204.32/204.40 inference(rename_variables,[],[3581])).
% 204.32/204.40 cnf(11035,plain,
% 204.32/204.40 (P32(x110351,f331(f239(f935(x110352,a923)),f192(f935(x110352,a923))),x110353)),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,4011,3542,4778,10580,10583,10609,10733,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,10949,3560,3561,10728,10784,4774,10620,10649,3713,10878,3621,11000,3653,4079,4016,10652,4784,10600,10988,3581,4382,4781,4766,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567])).
% 204.32/204.40 cnf(11036,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x110361,a923)),f192(f935(x110361,a923))),x110362))),
% 204.32/204.40 inference(rename_variables,[],[4008])).
% 204.32/204.40 cnf(11039,plain,
% 204.32/204.40 (P107(f331(f246(f935(x110391,a923)),x110392))),
% 204.32/204.40 inference(rename_variables,[],[3621])).
% 204.32/204.40 cnf(11042,plain,
% 204.32/204.40 (P107(f331(f246(f935(x110421,a923)),x110422))),
% 204.32/204.40 inference(rename_variables,[],[3621])).
% 204.32/204.40 cnf(11045,plain,
% 204.32/204.40 (P107(f331(f246(f935(x110451,a923)),x110452))),
% 204.32/204.40 inference(rename_variables,[],[3621])).
% 204.32/204.40 cnf(11047,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(f331(f81(a927),f331(a116,x110471)),f331(a116,x110471))),x110471))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,4011,3542,4778,10580,10583,10609,10733,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,10949,3560,3561,10728,10784,4774,10620,10649,3713,10878,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,3581,4382,4781,4766,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577])).
% 204.32/204.40 cnf(11048,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x110481),f331(f331(f81(a927),x110481),x110481)))),
% 204.32/204.40 inference(rename_variables,[],[3822])).
% 204.32/204.40 cnf(11052,plain,
% 204.32/204.40 (E(f331(f172(x110521),f31(x110522,f331(f331(f138(x110521),f331(f172(x110521),x110523)),f331(f331(f155(x110521),x110524),f117(x110521))),x110525,x110526,x110527,x110528,x110529,x1105210,x1105211,a25)),f331(f331(f155(x110521),x110524),x110523))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,4011,3542,4778,10580,10583,10609,10733,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,10949,3560,3561,10728,10784,4774,10620,10649,3713,10878,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,3581,4382,4781,4766,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615])).
% 204.32/204.40 cnf(11053,plain,
% 204.32/204.40 (E(f31(x110531,x110532,x110533,x110534,x110535,x110536,x110537,x110538,x110539,a25),x110532)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11065,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a103),f331(a3,x110651)),f331(a3,f2(a927))))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,11006,4011,3542,4778,10580,10583,10609,10733,10908,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,4291,3941,10736,3559,10701,10799,10949,3560,3561,10728,10784,4774,10620,10649,3713,10878,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,4382,4781,4766,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624])).
% 204.32/204.40 cnf(11088,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x110881),x110881))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11099,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x110991),f117(x110991)),x110992))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(11106,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x111061),f331(a116,x111061)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(11108,plain,
% 204.32/204.40 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x111081),f78(a1))),x111081))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4197,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,11006,4011,3542,4778,10580,10583,10609,10733,10908,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4291,3941,10736,3559,10701,10799,10949,3560,11088,3561,10728,10784,11018,4774,10620,10649,3713,10878,4787,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,4382,4781,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882])).
% 204.32/204.40 cnf(11109,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x111091),x111091))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(11114,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x111141),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(11127,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x111271),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(11130,plain,
% 204.32/204.40 (~P107(f331(f331(f240(f935(x111301,a923)),x111302),f192(f935(x111301,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4795])).
% 204.32/204.40 cnf(11133,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x111331),x111331))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11136,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x111361),x111361))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11150,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x111501),f331(f331(f23(a927),x111501),x111502)))),
% 204.32/204.40 inference(scs_inference,[],[4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3489,4742,10603,3453,10673,4341,4197,4804,3474,3923,3860,3628,10692,10812,10890,10963,10966,11006,4011,3542,4778,10580,10583,10609,10733,10908,11114,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,3561,10728,10784,11018,4774,10620,10649,3713,10878,4787,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,4382,4781,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,4800,4801,10792,4039,4798,10625,10628,10994,4009,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044])).
% 204.32/204.40 cnf(11151,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x111511),x111511))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(11160,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x111601),x111602),f192(f935(x111601,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11167,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x111671),x111671))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11170,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x111701,a923)),f331(f314(x111702,x111701,x111703),f331(f315(x111702,x111701,x111703),x111704))),x111704))),
% 204.32/204.40 inference(rename_variables,[],[4438])).
% 204.32/204.40 cnf(11179,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x111791,a923)),f331(f176(x111791),f331(f140(x111791,x111792),x111793))),f331(f176(x111791),x111793)))),
% 204.32/204.40 inference(rename_variables,[],[4207])).
% 204.32/204.40 cnf(11182,plain,
% 204.32/204.40 (E(f331(f314(x111821,x111821,f5(x111821)),x111822),x111822)),
% 204.32/204.40 inference(rename_variables,[],[3617])).
% 204.32/204.40 cnf(11189,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f2(a927)),x111891))),
% 204.32/204.40 inference(rename_variables,[],[3581])).
% 204.32/204.40 cnf(11192,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x111921),x111921))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11195,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x111951),x111951))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(11204,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x112041),x112041))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(11215,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x112151),f331(f331(f81(a927),x112151),x112151)))),
% 204.32/204.40 inference(rename_variables,[],[3822])).
% 204.32/204.40 cnf(11221,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x112211),f331(a116,f331(f331(f80(a927),x112212),x112211))))),
% 204.32/204.40 inference(rename_variables,[],[4009])).
% 204.32/204.40 cnf(11227,plain,
% 204.32/204.40 (~E(x112271,f331(f331(f155(x112272),x112273),x112271))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,3561,10728,10784,11018,4774,10620,10649,11151,11195,3713,10878,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,4382,4781,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621])).
% 204.32/204.40 cnf(11228,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x112281),x112281))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11230,plain,
% 204.32/204.40 (P107(f331(f331(f240(a1),x112301),f331(f331(f80(a1),x112301),f78(a1))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,4382,4781,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669])).
% 204.32/204.40 cnf(11231,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x112311),x112311))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(11233,plain,
% 204.32/204.40 (~E(f331(f73(x112331,x112332,x112333,a116),x112334),x112334)),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,4382,4781,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679])).
% 204.32/204.40 cnf(11234,plain,
% 204.32/204.40 (~E(f331(a116,x112341),x112341)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11238,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(x112381,x112381)),x112382),f311(x112381,f246(f935(f934(x112381,x112381),a923)))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,4382,4781,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697])).
% 204.32/204.40 cnf(11239,plain,
% 204.32/204.40 (P107(f331(f331(f333(x112391),x112392),f246(f935(x112391,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11244,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x112441),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(11259,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f2(a927)),x112591))),
% 204.32/204.40 inference(rename_variables,[],[3581])).
% 204.32/204.40 cnf(11266,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x112661),x112661))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11275,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x112751),x112752),f192(f935(x112751,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11277,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x112771,a923)),f38(f935(x112771,a923),f331(f312(x112771),x112772))),x112772))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,11179,3924,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025])).
% 204.32/204.40 cnf(11279,plain,
% 204.32/204.40 (E(f331(f331(f105(f935(x112791,a923)),f331(f331(f105(f935(x112791,a923)),x112792),f331(f79(f935(x112791,a923)),x112793))),x112793),f192(f935(x112791,a923)))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,11179,3924,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027])).
% 204.32/204.40 cnf(11282,plain,
% 204.32/204.40 (P107(f331(f331(f333(f928(x112821)),x112822),f165(x112821,f246(f935(x112821,a923)))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,11179,3924,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,4787,11160,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037])).
% 204.32/204.40 cnf(11283,plain,
% 204.32/204.40 (P107(f331(f331(f333(x112831),x112832),f246(f935(x112831,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11286,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x112861),f928(x112861))),f331(f331(f256(f928(x112861),f928(x112861)),x112862),f117(x112861))),f149(x112861,x112863)))),
% 204.32/204.40 inference(rename_variables,[],[4804])).
% 204.32/204.40 cnf(11295,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x112951,x112951)),x112952),f267(x112951,f192(f935(x112951,a923)))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,11179,3924,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,4787,11160,11275,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170])).
% 204.32/204.40 cnf(11296,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x112961),x112962),f192(f935(x112961,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11298,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x112981),x112982),f331(f315(x112981,x112983,x112984),f192(f935(x112983,a923)))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,11179,3924,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,4787,11160,11275,11296,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,4008,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201])).
% 204.32/204.40 cnf(11299,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x112991),x112992),f192(f935(x112991,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11302,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x113021,a923)),x113022),f331(f331(f313(x113021),x113023),x113022)))),
% 204.32/204.40 inference(rename_variables,[],[4006])).
% 204.32/204.40 cnf(11305,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),x113051),x113051))),
% 204.32/204.40 inference(rename_variables,[],[3560])).
% 204.32/204.40 cnf(11307,plain,
% 204.32/204.40 (P107(f331(f331(f333(x113071),x113072),f331(f331(f313(x113071),x113073),f331(f331(f313(x113071),x113072),x113074))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,3395,3456,3391,3418,3402,4030,3617,3489,4742,10603,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,4303,4207,11179,3924,4291,3941,10736,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,4787,11160,11275,11296,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,4006,11302,4008,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295])).
% 204.32/204.40 cnf(11308,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x113081,a923)),x113082),f331(f331(f313(x113081),x113083),x113082)))),
% 204.32/204.40 inference(rename_variables,[],[4006])).
% 204.32/204.40 cnf(11311,plain,
% 204.32/204.40 (E(f331(f314(x113111,x113111,f5(x113111)),x113112),x113112)),
% 204.32/204.40 inference(rename_variables,[],[3617])).
% 204.32/204.40 cnf(11314,plain,
% 204.32/204.40 (E(f31(x113141,x113142,x113143,x113144,x113145,x113146,x113147,x113148,x113149,a25),x113142)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11317,plain,
% 204.32/204.40 (E(f31(x113171,x113172,x113173,x113174,x113175,x113176,x113177,x113178,x113179,a25),x113172)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11328,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x113281,a923)),x113282),f331(f331(f313(x113281),x113283),x113282)))),
% 204.32/204.40 inference(rename_variables,[],[4006])).
% 204.32/204.40 cnf(11339,plain,
% 204.32/204.40 (~E(f331(a116,x113391),f2(a927))),
% 204.32/204.40 inference(rename_variables,[],[4733])).
% 204.32/204.40 cnf(11342,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x113421),f117(x113421)),x113422))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(11355,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x113551),f331(a116,x113551)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(11365,plain,
% 204.32/204.40 (~E(f331(f314(x113651,f935(x113651,a923),x113652),x113653),f331(f312(x113651),x113653))),
% 204.32/204.40 inference(rename_variables,[],[4785])).
% 204.32/204.40 cnf(11368,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x113681),x113682),f192(f935(x113681,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11371,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x113711),x113712),f192(f935(x113711,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11374,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x113741,x113741)),f331(f331(f256(x113741,x113741),x113742),x113743)),f157(x113741,f117(f935(x113741,a927)))))),
% 204.32/204.40 inference(rename_variables,[],[4803])).
% 204.32/204.40 cnf(11377,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x113771,x113771)),f331(f331(f256(x113771,x113771),x113772),x113773)),f157(x113771,f117(f935(x113771,a927)))))),
% 204.32/204.40 inference(rename_variables,[],[4803])).
% 204.32/204.40 cnf(11382,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x113821),x113822),f192(f935(x113821,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11385,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(x113851,x113851)),f331(f331(f256(x113851,x113851),x113852),x113852)),f311(x113851,x113853)))),
% 204.32/204.40 inference(rename_variables,[],[4197])).
% 204.32/204.40 cnf(11388,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x113881,a923)),x113882),f246(f935(x113881,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3941])).
% 204.32/204.40 cnf(11391,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x113911,a923)),f331(f176(x113911),f180(x113911,x113912,x113913))),f331(f176(x113911),x113912)))),
% 204.32/204.40 inference(rename_variables,[],[4257])).
% 204.32/204.40 cnf(11393,plain,
% 204.32/204.40 (P107(f331(f61(x113931),f331(f331(f73(x113932,x113933,x113934,f314(a927,x113931,x113935)),f266(a927)),f331(f331(f7(a927,a927,a923),f240(a927)),x113936))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,10873,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,3453,10673,4341,4197,4804,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,4008,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785])).
% 204.32/204.40 cnf(11407,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x114071,a923)),f192(f935(x114071,a923))),x114072))),
% 204.32/204.40 inference(rename_variables,[],[4008])).
% 204.32/204.40 cnf(11415,plain,
% 204.32/204.40 (~P107(f331(f331(f67(f928(x114151),f928(x114151),f149(x114151,x114152)),x114153),f117(x114151)))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,4733,10773,10873,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,3453,10673,4341,4197,11385,4804,11286,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825])).
% 204.32/204.40 cnf(11418,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x114181),f928(x114181))),f331(f331(f256(f928(x114181),f928(x114181)),x114182),f117(x114181))),f151(x114181,x114183)))),
% 204.32/204.40 inference(rename_variables,[],[4805])).
% 204.32/204.40 cnf(11429,plain,
% 204.32/204.40 (~E(f331(a116,x114291),x114291)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11432,plain,
% 204.32/204.40 (~E(f331(a116,x114321),x114321)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11439,plain,
% 204.32/204.40 (~E(f331(a116,x114391),f2(a927))),
% 204.32/204.40 inference(rename_variables,[],[4733])).
% 204.32/204.40 cnf(11441,plain,
% 204.32/204.40 (E(f331(x114411,f331(f92(x114412,x114413,f246(f935(x114412,a923)),x114411),f331(x114411,x114414))),f331(x114411,x114414))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,3453,10673,4341,4197,11385,4804,11286,4805,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884])).
% 204.32/204.40 cnf(11444,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x114441,a923)),x114442),x114442))),
% 204.32/204.40 inference(rename_variables,[],[3856])).
% 204.32/204.40 cnf(11448,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x114481,a923)),f331(f331(f40(f934(x114482,x114482),f935(x114481,a923)),f311(x114482,x114483)),x114484)),f331(x114484,f331(f331(f256(x114482,x114482),x114485),x114485))))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,3453,10673,4341,4197,11385,4804,11286,4805,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905])).
% 204.32/204.40 cnf(11451,plain,
% 204.32/204.40 (~E(f331(a116,x114511),x114511)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11454,plain,
% 204.32/204.40 (~E(f331(a116,x114541),x114541)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11456,plain,
% 204.32/204.40 (~P25(x114561,f935(x114561,a923),x114562,x114563,f331(f312(x114561),x114563))),
% 204.32/204.40 inference(scs_inference,[],[4802,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3453,10673,4341,4197,11385,4804,11286,4805,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923])).
% 204.32/204.40 cnf(11459,plain,
% 204.32/204.40 (P24(x114591,x114591,f5(x114591),x114592)),
% 204.32/204.40 inference(rename_variables,[],[3797])).
% 204.32/204.40 cnf(11464,plain,
% 204.32/204.40 (~E(f331(f314(x114641,f935(x114641,a923),x114642),x114643),f331(f312(x114641),x114643))),
% 204.32/204.40 inference(rename_variables,[],[4785])).
% 204.32/204.40 cnf(11469,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x114691,a923)),x114692),f246(f935(x114691,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3941])).
% 204.32/204.40 cnf(11473,plain,
% 204.32/204.40 (P107(f331(f331(f67(f928(x114731),f928(x114731),f162(x114731,x114732)),f117(x114731)),f117(x114731)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3453,10673,4341,4197,11385,4804,11286,4805,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006])).
% 204.32/204.40 cnf(11485,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x114851),x114852),f192(f935(x114851,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11488,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x114881)),x114881))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(11493,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x114931),x114932),f192(f935(x114931,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11503,plain,
% 204.32/204.40 (~P107(f331(f331(f333(a927),f331(a116,f331(f146(a927,a927,f80(a927),f2(a927)),x115031))),f331(f176(a927),x115031)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,4805,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,4787,11160,11275,11296,11299,11368,11371,11382,11485,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107])).
% 204.32/204.40 cnf(11504,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x115041)),x115041))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(11507,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x115071),x115072),f192(f935(x115071,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11516,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(x115161,x115161)),f331(f331(f256(x115161,x115161),x115162),x115162)),f311(x115161,x115163)))),
% 204.32/204.40 inference(rename_variables,[],[4197])).
% 204.32/204.40 cnf(11519,plain,
% 204.32/204.40 (P107(f331(f331(f333(x115191),x115192),f246(f935(x115191,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11522,plain,
% 204.32/204.40 (P107(f331(f331(f333(x115221),x115222),f246(f935(x115221,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11526,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(f928(x115261),f928(x115261))),f331(f331(f256(f928(x115261),f928(x115261)),f117(x115261)),f117(x115261))),f331(f290(f928(x115261),f928(x115261)),f162(x115261,x115262))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,4805,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278])).
% 204.32/204.40 cnf(11529,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115291),f928(x115291))),f331(f331(f256(f928(x115291),f928(x115291)),x115292),f117(x115291))),f149(x115291,x115293)))),
% 204.32/204.40 inference(rename_variables,[],[4804])).
% 204.32/204.40 cnf(11532,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115321),f928(x115321))),f331(f331(f256(f928(x115321),f928(x115321)),x115322),f117(x115321))),f151(x115321,x115323)))),
% 204.32/204.40 inference(rename_variables,[],[4805])).
% 204.32/204.40 cnf(11535,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115351),f928(x115351))),f331(f331(f256(f928(x115351),f928(x115351)),x115352),f117(x115351))),f161(x115351,x115353)))),
% 204.32/204.40 inference(rename_variables,[],[4806])).
% 204.32/204.40 cnf(11537,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115371),f928(x115371))),f331(f331(f256(f928(x115371),f928(x115371)),f117(x115371)),x115372)),f331(f290(f928(x115371),f928(x115371)),f149(x115371,x115373))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,4795,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326])).
% 204.32/204.40 cnf(11540,plain,
% 204.32/204.40 (~P107(f331(f331(f240(f935(x115401,a923)),x115402),f192(f935(x115401,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4795])).
% 204.32/204.40 cnf(11543,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x115431),x115432),f192(f935(x115431,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11547,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x115471,a923)),x115472),f331(f331(f114(f935(x115471,a923)),x115473),f246(f935(x115471,a923)))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380])).
% 204.32/204.40 cnf(11548,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x115481,a923)),x115482),f246(f935(x115481,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3941])).
% 204.32/204.40 cnf(11550,plain,
% 204.32/204.40 (~P58(f928(x115501),f162(x115501,x115502))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451])).
% 204.32/204.40 cnf(11554,plain,
% 204.32/204.40 (~P107(f331(f331(f259(x115541,x115542,a923,f331(f176(x115543),f117(x115543))),x115544),x115545))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,4163,4006,11302,11308,3856,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490])).
% 204.32/204.40 cnf(11555,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x115551),f117(x115551)),x115552))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(11560,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x115601),x115602),f192(f935(x115601,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11563,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x115631,x115631)),f331(f331(f256(x115631,x115631),x115632),x115633)),f157(x115631,f117(f935(x115631,a927)))))),
% 204.32/204.40 inference(rename_variables,[],[4803])).
% 204.32/204.40 cnf(11565,plain,
% 204.32/204.40 (E(f331(f314(x115651,x115652,x115653),f438(x115654,x115653,x115651,f331(f314(x115651,x115652,x115653),x115654),x115652)),f331(f314(x115651,x115652,x115653),x115654))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511])).
% 204.32/204.40 cnf(11566,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x115661,a923)),x115662),x115662))),
% 204.32/204.40 inference(rename_variables,[],[3856])).
% 204.32/204.40 cnf(11569,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x115691),x115692),f192(f935(x115691,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11571,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x115711,a923)),f331(f289(x115712,x115711,f192(f935(f934(x115712,x115711),a923))),x115713)),x115714))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558])).
% 204.32/204.40 cnf(11572,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x115721,a923)),f192(f935(x115721,a923))),x115722))),
% 204.32/204.40 inference(rename_variables,[],[4008])).
% 204.32/204.40 cnf(11575,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(x115751,x115751)),f331(f331(f256(x115751,x115751),x115752),x115752)),f311(x115751,x115753)))),
% 204.32/204.40 inference(rename_variables,[],[4197])).
% 204.32/204.40 cnf(11577,plain,
% 204.32/204.40 (~P35(x115771,x115772,x115773,f331(f331(f158(x115774,x115771),x115775),f331(a116,f117(x115774))),f117(x115772))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566])).
% 204.32/204.40 cnf(11579,plain,
% 204.32/204.40 (~E(f331(f331(f105(f935(f934(f928(x115791),f928(x115791)),a923)),f331(f290(f928(x115791),f928(x115791)),f162(x115791,x115792))),f311(f928(x115791),f162(x115791,x115792))),f192(f935(f934(f928(x115791),f928(x115791)),a923)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590])).
% 204.32/204.40 cnf(11583,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),x115831),f331(a116,x115831))),f311(a927,a321)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618])).
% 204.32/204.40 cnf(11585,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115851),f928(x115851))),f331(f331(f256(f928(x115851),f928(x115851)),x115852),f117(x115851))),f331(f290(f928(x115851),f928(x115851)),f161(x115851,x115853))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,11535,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680])).
% 204.32/204.40 cnf(11586,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115861),f928(x115861))),f331(f331(f256(f928(x115861),f928(x115861)),x115862),f117(x115861))),f161(x115861,x115863)))),
% 204.32/204.40 inference(rename_variables,[],[4806])).
% 204.32/204.40 cnf(11592,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f928(x115921)),f117(x115921)),f331(f268(f928(x115921),f928(x115921)),f149(x115921,x115922))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,11535,4807,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725])).
% 204.32/204.40 cnf(11593,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x115931),f928(x115931))),f331(f331(f256(f928(x115931),f928(x115931)),f117(x115931)),x115932)),f149(x115931,x115933)))),
% 204.32/204.40 inference(rename_variables,[],[4807])).
% 204.32/204.40 cnf(11598,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f935(x115981,a923),f935(x115981,a923))),f331(f331(f256(f935(x115981,a923),f935(x115981,a923)),x115982),f192(f935(x115981,a923)))),f318(x115981)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,11535,4807,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727])).
% 204.32/204.40 cnf(11601,plain,
% 204.32/204.40 (P107(f331(f331(f333(x116011),x116012),f246(f935(x116011,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11606,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x116061,a923)),f192(f935(x116061,a923))),x116062))),
% 204.32/204.40 inference(rename_variables,[],[4008])).
% 204.32/204.40 cnf(11609,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116091),x116092),f192(f935(x116091,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11612,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x116121,a923)),x116122),f246(f935(x116121,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3941])).
% 204.32/204.40 cnf(11614,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(f934(x116141,x116141),a923)),f331(f331(f293(x116141,x116141,x116141),f267(x116141,x116142)),f311(x116141,f267(x116141,x116142)))),f331(f331(f258(x116141,x116141),x116142),f331(f16(f935(x116141,a923),x116141),x116142))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,11535,4807,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812])).
% 204.32/204.40 cnf(11616,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x116161,a923)),f331(f289(x116162,x116161,x116163),f192(f935(x116162,a923)))),x116164))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,11535,4807,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837])).
% 204.32/204.40 cnf(11617,plain,
% 204.32/204.40 (P107(f331(f331(f239(f935(x116171,a923)),f192(f935(x116171,a923))),x116172))),
% 204.32/204.40 inference(rename_variables,[],[4008])).
% 204.32/204.40 cnf(11619,plain,
% 204.32/204.40 (~P107(f331(f66(a927,x116191,x116192,x116193,f246(f935(a927,a923))),x116194))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,4806,11535,4807,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,3621,11000,11030,11039,11042,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858])).
% 204.32/204.40 cnf(11630,plain,
% 204.32/204.40 (P107(f331(f246(f935(x116301,a923)),x116302))),
% 204.32/204.40 inference(rename_variables,[],[3621])).
% 204.32/204.40 cnf(11638,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x116381),f928(x116381))),f331(f331(f256(f928(x116381),f928(x116381)),x116382),f117(x116381))),f149(x116381,x116383)))),
% 204.32/204.40 inference(rename_variables,[],[4804])).
% 204.32/204.40 cnf(11641,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x116411),f928(x116411))),f331(f331(f256(f928(x116411),f928(x116411)),x116412),f117(x116411))),f151(x116411,x116413)))),
% 204.32/204.40 inference(rename_variables,[],[4805])).
% 204.32/204.40 cnf(11644,plain,
% 204.32/204.40 (~E(f331(f331(f155(x116441),x116442),x116443),x116443)),
% 204.32/204.40 inference(rename_variables,[],[4742])).
% 204.32/204.40 cnf(11647,plain,
% 204.32/204.40 (~E(f331(a116,x116471),x116471)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11650,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116501),x116502),f192(f935(x116501,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11652,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116521),x116522),f331(f289(x116523,x116521,x116524),f331(f289(x116525,x116523,x116526),f192(f935(x116525,a923))))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,4805,11418,11532,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975])).
% 204.32/204.40 cnf(11655,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116551),x116552),f192(f935(x116551,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11658,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116581),x116582),f192(f935(x116581,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11661,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(f928(x116611),f928(x116611))),f331(f331(f256(f928(x116611),f928(x116611)),x116612),x116612)),f162(x116611,f311(x116611,x116613))))),
% 204.32/204.40 inference(rename_variables,[],[4334])).
% 204.32/204.40 cnf(11664,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x116641),f928(x116641))),f331(f331(f256(f928(x116641),f928(x116641)),x116642),f117(x116641))),f149(x116641,x116643)))),
% 204.32/204.40 inference(rename_variables,[],[4804])).
% 204.32/204.40 cnf(11668,plain,
% 204.32/204.40 (E(f331(f331(f155(x116681),f662(f311(x116681,x116682),f331(f331(f155(x116681),x116683),x116684),x116684,x116683,x116681)),f663(f311(x116681,x116682),f331(f331(f155(x116681),x116683),x116684),x116684,x116683,x116681)),f331(f331(f155(x116681),x116683),x116684))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,11638,4805,11418,11532,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032])).
% 204.32/204.40 cnf(11674,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x116741,x116741)),f331(f331(f256(x116741,x116741),x116742),x116743)),f157(x116741,f117(f935(x116741,a927)))))),
% 204.32/204.40 inference(rename_variables,[],[4803])).
% 204.32/204.40 cnf(11677,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116771),x116772),f192(f935(x116771,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11680,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x116801),x116802),f192(f935(x116801,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11683,plain,
% 204.32/204.40 (P107(f331(f331(f333(x116831),x116832),f246(f935(x116831,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11686,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x116861),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(11690,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x116901),f928(x116901))),f331(f331(f256(f928(x116901),f928(x116901)),x116902),x116903)),f161(x116901,f157(x116901,f117(f935(x116901,a927))))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,11638,4805,11418,11532,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,11563,11674,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167])).
% 204.32/204.40 cnf(11691,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x116911,x116911)),f331(f331(f256(x116911,x116911),x116912),x116913)),f157(x116911,f117(f935(x116911,a927)))))),
% 204.32/204.40 inference(rename_variables,[],[4803])).
% 204.32/204.40 cnf(11693,plain,
% 204.32/204.40 (~E(f331(f262(x116931,x116932,x116933,x116933,f314(x116934,f935(x116934,a923),x116935),f32(x116933)),x116936),f331(f262(x116931,x116932,x116933,x116933,f312(x116934),f32(x116933)),x116936))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,3664,3453,10673,4341,4197,11385,11516,4804,11286,11529,11638,4805,11418,11532,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,11563,11674,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208])).
% 204.32/204.40 cnf(11694,plain,
% 204.32/204.40 (~E(f331(f314(x116941,f935(x116941,a923),x116942),x116943),f331(f312(x116941),x116943))),
% 204.32/204.40 inference(rename_variables,[],[4785])).
% 204.32/204.40 cnf(11697,plain,
% 204.32/204.40 (~E(f331(f314(x116971,f935(x116971,a923),x116972),x116973),f331(f312(x116971),x116973))),
% 204.32/204.40 inference(rename_variables,[],[4785])).
% 204.32/204.40 cnf(11702,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x117021),f928(x117021))),f331(f331(f256(f928(x117021),f928(x117021)),x117022),f117(x117021))),f149(x117021,x117023)))),
% 204.32/204.40 inference(rename_variables,[],[4804])).
% 204.32/204.40 cnf(11705,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x117051),f928(x117051))),f331(f331(f256(f928(x117051),f928(x117051)),x117052),f117(x117051))),f151(x117051,x117053)))),
% 204.32/204.40 inference(rename_variables,[],[4805])).
% 204.32/204.40 cnf(11708,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(f928(x117081),f928(x117081))),f331(f331(f256(f928(x117081),f928(x117081)),x117082),f117(x117081))),f149(x117081,x117083)))),
% 204.32/204.40 inference(rename_variables,[],[4804])).
% 204.32/204.40 cnf(11711,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x117111),x117112),f192(f935(x117111,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11713,plain,
% 204.32/204.40 (P107(f331(f331(f333(f934(x117131,x117132)),f331(f331(f256(x117131,x117132),f331(x117133,x117134)),f331(x117135,x117134))),f331(f314(f934(x117136,x117136),f934(x117131,x117132),f262(x117136,x117131,x117136,x117132,x117133,x117135)),f311(x117136,x117137))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,3664,3453,10673,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,11563,11674,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338])).
% 204.32/204.40 cnf(11715,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x117151,x117152)),x117153),f331(f331(f293(x117151,x117154,x117152),f192(f935(f934(x117151,x117154),a923))),x117155)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,3664,3453,10673,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,11563,11674,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434])).
% 204.32/204.40 cnf(11716,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x117161),x117162),f192(f935(x117161,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11719,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x117191),x117192),f192(f935(x117191,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11722,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x117221),x117222),f192(f935(x117221,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11725,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x117251),x117252),f192(f935(x117251,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11728,plain,
% 204.32/204.40 (P107(f331(f331(f333(x117281),f331(x117282,x117283)),f331(f314(x117284,x117281,x117282),f246(f935(x117284,a923)))))),
% 204.32/204.40 inference(rename_variables,[],[4163])).
% 204.32/204.40 cnf(11730,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x117301,x117302)),x117303),f331(f314(f934(x117304,x117304),f934(x117301,x117302),f262(x117304,x117301,x117304,x117302,x117305,x117306)),f157(x117304,f117(f935(x117304,a927))))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,3664,3453,10673,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520])).
% 204.32/204.40 cnf(11731,plain,
% 204.32/204.40 (~P107(f331(f331(f333(f934(x117311,x117311)),f331(f331(f256(x117311,x117311),x117312),x117313)),f157(x117311,f117(f935(x117311,a927)))))),
% 204.32/204.40 inference(rename_variables,[],[4803])).
% 204.32/204.40 cnf(11733,plain,
% 204.32/204.40 (E(x117331,f31(x117332,x117331,x117333,x117334,x117335,x117336,x117337,x117338,x117339,a25))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,4733,10773,10873,11339,4018,3395,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,3664,3453,10673,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,4778,10580,10583,10609,10733,10908,11114,11127,11244,4791,3998,3766,4145,3587,3589,3563,4775,4737,4334,11661,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2])).
% 204.32/204.40 cnf(11737,plain,
% 204.32/204.40 (E(f31(x117371,x117372,x117373,x117374,x117375,x117376,x117377,x117378,x117379,a25),x117372)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11740,plain,
% 204.32/204.40 (E(f31(x117401,x117402,x117403,x117404,x117405,x117406,x117407,x117408,x117409,a25),x117402)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11743,plain,
% 204.32/204.40 (~E(f331(a116,x117431),x117431)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11750,plain,
% 204.32/204.40 (~E(f331(a116,x117501),x117501)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11755,plain,
% 204.32/204.40 (E(f31(x117551,x117552,x117553,x117554,x117555,x117556,x117557,x117558,x117559,a25),x117552)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11758,plain,
% 204.32/204.40 (E(f31(x117581,x117582,x117583,x117584,x117585,x117586,x117587,x117588,x117589,a25),x117582)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11764,plain,
% 204.32/204.40 (~E(f331(a116,x117641),x117641)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11769,plain,
% 204.32/204.40 (~E(f331(f331(f80(a1),x117691),x117691),a101)),
% 204.32/204.40 inference(rename_variables,[],[4740])).
% 204.32/204.40 cnf(11776,plain,
% 204.32/204.40 (E(f331(f331(f23(a927),f2(a927)),x117761),f2(a927))),
% 204.32/204.40 inference(rename_variables,[],[3475])).
% 204.32/204.40 cnf(11779,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x117791),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(11786,plain,
% 204.32/204.40 (E(f331(f331(f80(a1),f331(f331(f81(a1),x117861),f331(f331(f36(a1),x117862),x117861))),f45(a1,x117862,x117861)),x117862)),
% 204.32/204.40 inference(rename_variables,[],[4112])).
% 204.32/204.40 cnf(11796,plain,
% 204.32/204.40 (E(f31(x117961,x117962,x117963,x117964,x117965,x117966,x117967,x117968,x117969,a25),x117962)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11803,plain,
% 204.32/204.40 (E(f31(x118031,x118032,x118033,x118034,x118035,x118036,x118037,x118038,x118039,a25),x118032)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11806,plain,
% 204.32/204.40 (E(f31(x118061,x118062,x118063,x118064,x118065,x118066,x118067,x118068,x118069,a25),x118062)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11809,plain,
% 204.32/204.40 (E(f31(x118091,x118092,x118093,x118094,x118095,x118096,x118097,x118098,x118099,a25),x118092)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11812,plain,
% 204.32/204.40 (E(f31(x118121,x118122,x118123,x118124,x118125,x118126,x118127,x118128,x118129,a25),x118122)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11815,plain,
% 204.32/204.40 (~E(f331(a116,x118151),x118151)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11818,plain,
% 204.32/204.40 (~E(f331(a116,x118181),x118181)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11822,plain,
% 204.32/204.40 (E(f31(x118221,x118222,x118223,x118224,x118225,x118226,x118227,x118228,x118229,a25),x118222)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11845,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x118451),f117(x118451)),x118452))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(11851,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),f2(a927)),f331(a116,x118511)))),
% 204.32/204.40 inference(rename_variables,[],[3640])).
% 204.32/204.40 cnf(11852,plain,
% 204.32/204.40 (~E(f331(a116,x118521),x118521)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11855,plain,
% 204.32/204.40 (P107(f331(f331(f333(x118551),x118552),f246(f935(x118551,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(11863,plain,
% 204.32/204.40 (E(f31(x118631,x118632,x118633,x118634,x118635,x118636,x118637,x118638,x118639,a25),x118632)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11868,plain,
% 204.32/204.40 (~E(f331(a116,x118681),x118681)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11871,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x118711),x118711))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(11878,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x118781),x118781))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(11879,plain,
% 204.32/204.40 (E(f31(x118791,x118792,x118793,x118794,x118795,x118796,x118797,x118798,x118799,a25),x118792)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11891,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),f331(f331(f80(a927),x118911),x118912)),f331(f331(f80(a927),f331(a116,f331(f331(f80(a927),x118911),x118912))),f331(f331(f80(a927),x118911),x118912))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,4733,10773,10873,11339,3169,3171,3180,3187,3201,3204,3220,3235,3237,3244,3245,3266,3306,3315,3328,3338,3353,4721,4018,3395,4112,11786,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,3640,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,4791,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,11683,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,10997,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584])).
% 204.32/204.40 cnf(11892,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x118921),x118922)),x118922))),
% 204.32/204.40 inference(rename_variables,[],[4798])).
% 204.32/204.40 cnf(11895,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a1),f331(f104(a1),x118951)),f2(a1)))),
% 204.32/204.40 inference(rename_variables,[],[4791])).
% 204.32/204.40 cnf(11905,plain,
% 204.32/204.40 (~E(x119051,f331(f331(f155(x119052),x119053),f331(f331(f138(x119052),f31(x119054,f117(x119052),x119055,x119056,x119057,x119058,x119059,x1190510,x1190511,a25)),x119051)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,4733,10773,10873,11339,3169,3171,3179,3180,3187,3201,3204,3220,3235,3237,3244,3245,3266,3306,3315,3328,3338,3353,4721,4018,3395,4112,11786,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,3640,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,4791,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,11683,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,11504,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,10997,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602])).
% 204.32/204.40 cnf(11906,plain,
% 204.32/204.40 (E(f31(x119061,x119062,x119063,x119064,x119065,x119066,x119067,x119068,x119069,a25),x119062)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11908,plain,
% 204.32/204.40 (~E(f331(f331(f155(x119081),x119082),f331(f331(f138(x119081),f31(x119083,f117(x119081),x119084,x119085,x119086,x119087,x119088,x119089,x1190810,a25)),x1190811)),x1190811)),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,4733,10773,10873,11339,3169,3171,3179,3180,3187,3201,3204,3220,3235,3237,3244,3245,3266,3306,3315,3328,3338,3353,4721,4018,3395,4112,11786,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,3640,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,4791,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,11683,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,11504,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,10997,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603])).
% 204.32/204.40 cnf(11909,plain,
% 204.32/204.40 (E(f31(x119091,x119092,x119093,x119094,x119095,x119096,x119097,x119098,x119099,a25),x119092)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11913,plain,
% 204.32/204.40 (~E(f331(f331(f105(a927),f331(a116,x119131)),x119131),f331(a116,x119131))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,4733,10773,10873,11339,3169,3171,3179,3180,3187,3191,3201,3204,3208,3220,3235,3237,3244,3245,3266,3306,3315,3328,3338,3353,4721,4018,3395,4112,11786,3456,3391,3418,3402,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,4011,3542,3640,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,4791,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,4774,10620,10649,11151,11195,3713,10878,10969,11239,11283,11519,11522,11601,11683,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,3621,11000,11030,11039,11042,11045,3653,4079,4016,10652,4784,10600,10988,10991,11488,11504,3581,11033,11189,4382,4781,4087,4766,4769,3535,3539,4768,4767,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,10997,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608])).
% 204.32/204.40 cnf(11920,plain,
% 204.32/204.40 (E(f31(x119201,x119202,x119203,x119204,x119205,x119206,x119207,x119208,x119209,a25),x119202)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11925,plain,
% 204.32/204.40 (E(f31(x119251,x119252,x119253,x119254,x119255,x119256,x119257,x119258,x119259,a25),x119252)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11928,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a1),f331(f104(a1),x119281)),f2(a1)))),
% 204.32/204.40 inference(rename_variables,[],[4791])).
% 204.32/204.40 cnf(11931,plain,
% 204.32/204.40 (E(f31(x119311,x119312,x119313,x119314,x119315,x119316,x119317,x119318,x119319,a25),x119312)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(11934,plain,
% 204.32/204.40 (~E(f331(a116,x119341),x119341)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(11937,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x119371),x119371))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(11944,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x119441),f117(x119441)),x119442))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(11965,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a1),f331(f104(a1),x119651)),f2(a1)))),
% 204.32/204.40 inference(rename_variables,[],[4791])).
% 204.32/204.40 cnf(11968,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x119681),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(11969,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x119691),f331(a116,x119691)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(11972,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a1),f331(f104(a1),x119721)),f2(a1)))),
% 204.32/204.40 inference(rename_variables,[],[4791])).
% 204.32/204.40 cnf(11975,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x119751),x119752),f192(f935(x119751,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(11976,plain,
% 204.32/204.40 (P107(f331(f331(f333(f935(x119761,a923)),x119762),f331(f312(x119761),x119762)))),
% 204.32/204.40 inference(rename_variables,[],[3924])).
% 204.32/204.40 cnf(11991,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x119911)),x119911))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(11992,plain,
% 204.32/204.40 (~E(f331(a116,x119921),x119921)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(12002,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x120021),x120022)),x120021))),
% 204.32/204.40 inference(rename_variables,[],[4799])).
% 204.32/204.40 cnf(12005,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a1),f331(f104(a1),x120051)),f2(a1)))),
% 204.32/204.40 inference(rename_variables,[],[4791])).
% 204.32/204.40 cnf(12008,plain,
% 204.32/204.40 (~E(f331(a116,x120081),x120081)),
% 204.32/204.40 inference(rename_variables,[],[4723])).
% 204.32/204.40 cnf(12021,plain,
% 204.32/204.40 (P107(f331(f331(f333(x120211),x120212),f331(f331(f313(x120211),x120212),x120213)))),
% 204.32/204.40 inference(rename_variables,[],[3872])).
% 204.32/204.40 cnf(12022,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a1),f2(a1)),f331(f79(a1),f331(f104(a1),f331(a116,x120221)))))),
% 204.32/204.40 inference(rename_variables,[],[4800])).
% 204.32/204.40 cnf(12025,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),f331(f331(f23(a927),x120251),x120252)),f331(a116,x120251)))),
% 204.32/204.40 inference(rename_variables,[],[4011])).
% 204.32/204.40 cnf(12028,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f45(a927,x120281,x120282)),x120281))),
% 204.32/204.40 inference(rename_variables,[],[4016])).
% 204.32/204.40 cnf(12034,plain,
% 204.32/204.40 (E(f31(x120341,x120342,x120343,x120344,x120345,x120346,x120347,x120348,x120349,a25),x120342)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12037,plain,
% 204.32/204.40 (E(f31(x120371,x120372,x120373,x120374,x120375,x120376,x120377,x120378,x120379,a25),x120372)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12040,plain,
% 204.32/204.40 (E(f31(x120401,x120402,x120403,x120404,x120405,x120406,x120407,x120408,x120409,a25),x120402)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12043,plain,
% 204.32/204.40 (E(f31(x120431,x120432,x120433,x120434,x120435,x120436,x120437,x120438,x120439,a25),x120432)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12046,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x120461)),x120461))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(12047,plain,
% 204.32/204.40 (E(f31(x120471,x120472,x120473,x120474,x120475,x120476,x120477,x120478,x120479,a25),x120472)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12056,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x120561),x120561))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(12057,plain,
% 204.32/204.40 (E(f31(x120571,x120572,x120573,x120574,x120575,x120576,x120577,x120578,x120579,a25),x120572)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12060,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f45(a927,x120601,x120602)),x120601))),
% 204.32/204.40 inference(rename_variables,[],[4016])).
% 204.32/204.40 cnf(12061,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f2(a927)),x120611))),
% 204.32/204.40 inference(rename_variables,[],[3581])).
% 204.32/204.40 cnf(12063,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a1),f78(a1)),f2(a1)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,4733,10773,10873,11339,3168,3169,3171,3172,3179,3180,3187,3191,3192,3201,3204,3208,3209,3220,3235,3237,3244,3245,3266,3306,3315,3318,3328,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,4011,3542,3640,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,4791,11895,11928,11965,11972,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,4774,10620,10649,11151,11195,11204,3713,10878,10969,11239,11283,11519,11522,11601,11683,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,4784,10600,10988,10991,11488,11504,11991,3581,11033,11189,11259,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,4801,10792,4438,4345,4039,4798,10625,10628,10994,10997,4799,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051])).
% 204.32/204.40 cnf(12078,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x120781),x120781))),
% 204.32/204.40 inference(rename_variables,[],[4774])).
% 204.32/204.40 cnf(12081,plain,
% 204.32/204.40 (P107(f331(f331(f333(x120811),f331(x120812,x120813)),f331(f314(x120814,x120811,x120812),f246(f935(x120814,a923)))))),
% 204.32/204.40 inference(rename_variables,[],[4163])).
% 204.32/204.40 cnf(12082,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x120821)),x120821))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(12085,plain,
% 204.32/204.40 (P107(f331(f331(f333(x120851),f331(x120852,x120853)),f331(f314(x120854,x120851,x120852),f246(f935(x120854,a923)))))),
% 204.32/204.40 inference(rename_variables,[],[4163])).
% 204.32/204.40 cnf(12086,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x120861),x120862)),x120862))),
% 204.32/204.40 inference(rename_variables,[],[4798])).
% 204.32/204.40 cnf(12091,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x120911),x120912)),x120911))),
% 204.32/204.40 inference(rename_variables,[],[4799])).
% 204.32/204.40 cnf(12094,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x120941),f117(x120941)),x120942))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(12096,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),f331(a108,f78(a1))),f450(f331(f198(a25),f331(a108,f78(a1))))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,4733,10773,10873,11339,3168,3169,3171,3172,3179,3180,3187,3191,3192,3201,3204,3208,3209,3220,3235,3237,3244,3245,3266,3306,3315,3318,3328,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,4011,12025,3542,3640,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,4791,11895,11928,11965,11972,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,4774,10620,10649,11151,11195,11204,12056,3713,10878,10969,11239,11283,11519,11522,11601,11683,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,4784,10600,10988,10991,11488,11504,11991,12046,3581,11033,11189,11259,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171])).
% 204.32/204.40 cnf(12097,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x120971),x120971))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(12103,plain,
% 204.32/204.40 (~P36(x121031,x121032,f117(x121031))),
% 204.32/204.40 inference(rename_variables,[],[4753])).
% 204.32/204.40 cnf(12106,plain,
% 204.32/204.40 (P107(f331(f331(f333(x121061),x121062),f246(f935(x121061,a923))))),
% 204.32/204.40 inference(rename_variables,[],[3713])).
% 204.32/204.40 cnf(12107,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x121071)),x121071))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(12110,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x121101),x121101))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(12123,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x121231),x121232),f192(f935(x121231,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(12126,plain,
% 204.32/204.40 (E(f331(f331(f16(x121261,x121262),x121263),x121264),x121263)),
% 204.32/204.40 inference(rename_variables,[],[3549])).
% 204.32/204.40 cnf(12129,plain,
% 204.32/204.40 (E(f331(f331(f16(x121291,x121292),x121293),x121294),x121293)),
% 204.32/204.40 inference(rename_variables,[],[3549])).
% 204.32/204.40 cnf(12141,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),f2(a927)),f331(a116,x121411)))),
% 204.32/204.40 inference(rename_variables,[],[3640])).
% 204.32/204.40 cnf(12144,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x121441),x121441))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(12145,plain,
% 204.32/204.40 (E(f31(x121451,x121452,x121453,x121454,x121455,x121456,x121457,x121458,x121459,a25),x121452)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12148,plain,
% 204.32/204.40 (P107(f331(f61(x121481),f331(f176(x121481),x121482)))),
% 204.32/204.40 inference(rename_variables,[],[3600])).
% 204.32/204.40 cnf(12151,plain,
% 204.32/204.40 (P107(f331(f61(x121511),f331(f176(x121511),x121512)))),
% 204.32/204.40 inference(rename_variables,[],[3600])).
% 204.32/204.40 cnf(12154,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),f331(f79(a1),f331(f104(a1),x121541))),f331(f104(a1),x121542)))),
% 204.32/204.40 inference(rename_variables,[],[4040])).
% 204.32/204.40 cnf(12157,plain,
% 204.32/204.40 (~P107(f331(f331(f333(x121571),x121572),f192(f935(x121571,a923))))),
% 204.32/204.40 inference(rename_variables,[],[4787])).
% 204.32/204.40 cnf(12171,plain,
% 204.32/204.40 (~P107(f331(f331(f333(a927),f2(a927)),f331(f308(a927),x121711)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3266,3306,3315,3318,3328,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,4791,11895,11928,11965,11972,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,3636,4774,10620,10649,11151,11195,11204,12056,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,3581,11033,11189,11259,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399])).
% 204.32/204.40 cnf(12176,plain,
% 204.32/204.40 (P107(f331(f331(f198(a25),x121761),x121761))),
% 204.32/204.40 inference(rename_variables,[],[3559])).
% 204.32/204.40 cnf(12177,plain,
% 204.32/204.40 (E(f31(x121771,x121772,x121773,x121774,x121775,x121776,x121777,x121778,x121779,a25),x121772)),
% 204.32/204.40 inference(rename_variables,[],[4710])).
% 204.32/204.40 cnf(12180,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x121801),f331(a116,x121801)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(12183,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x121831),x121831))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(12192,plain,
% 204.32/204.40 (P107(f331(f331(f239(a1),x121921),x121921))),
% 204.32/204.40 inference(rename_variables,[],[3561])).
% 204.32/204.40 cnf(12195,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x121951),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(12200,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a927),x122001),f2(a927)))),
% 204.32/204.40 inference(rename_variables,[],[4778])).
% 204.32/204.40 cnf(12209,plain,
% 204.32/204.40 (P107(f331(f331(f239(a927),f2(a927)),x122091))),
% 204.32/204.40 inference(rename_variables,[],[3581])).
% 204.32/204.40 cnf(12210,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x122101)),x122101))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(12213,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x122131),f117(x122131)),x122132))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(12216,plain,
% 204.32/204.40 (~P107(f331(f331(f176(x122161),f117(x122161)),x122162))),
% 204.32/204.40 inference(rename_variables,[],[4783])).
% 204.32/204.40 cnf(12224,plain,
% 204.32/204.40 (P107(f331(f331(f240(a927),x122241),f331(a116,x122241)))),
% 204.32/204.40 inference(rename_variables,[],[3628])).
% 204.32/204.40 cnf(12232,plain,
% 204.32/204.40 (~P107(f331(f331(f240(a1),f331(f104(a1),f331(a116,x122321))),f331(f79(a1),f2(a1))))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,11937,12183,3636,4774,10620,10649,11151,11195,11204,12056,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689])).
% 204.32/204.40 cnf(12236,plain,
% 204.32/204.40 (P107(f331(f331(f240(a1),f331(f79(a1),f78(a1))),f2(a1)))),
% 204.32/204.40 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,11937,12183,3636,4774,10620,10649,11151,11195,11204,12056,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705])).
% 204.32/204.40 cnf(12239,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x122391)),x122391))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(12242,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x122421)),x122421))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.40 cnf(12245,plain,
% 204.32/204.40 (~P107(f331(f331(f239(a927),f331(a116,x122451)),x122451))),
% 204.32/204.40 inference(rename_variables,[],[4784])).
% 204.32/204.41 cnf(12248,plain,
% 204.32/204.41 (~P107(f331(f331(f239(a927),f331(a116,x122481)),x122481))),
% 204.32/204.41 inference(rename_variables,[],[4784])).
% 204.32/204.41 cnf(12250,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),f331(f331(f114(a927),x122501),x122502)),x122502))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,11937,12183,3636,4774,10620,10649,11151,11195,11204,12056,12078,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714])).
% 204.32/204.41 cnf(12251,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x122511),x122511))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12254,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x122541),x122541))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12257,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x122571),x122571))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12260,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x122601),x122601))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12277,plain,
% 204.32/204.41 (P107(f331(f331(f198(a25),x122771),x122771))),
% 204.32/204.41 inference(rename_variables,[],[3559])).
% 204.32/204.41 cnf(12280,plain,
% 204.32/204.41 (P24(a927,a927,a116,x122801)),
% 204.32/204.41 inference(rename_variables,[],[3765])).
% 204.32/204.41 cnf(12282,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x122821),f331(f76(a1),x122821)))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,3765,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,11937,12183,12192,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801])).
% 204.32/204.41 cnf(12283,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x122831),x122831))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12294,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x122941),x122941))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12296,plain,
% 204.32/204.41 (P107(f331(f311(f928(x122961),f161(x122961,x122962)),f331(f331(f256(f928(x122961),f928(x122961)),f117(x122961)),f117(x122961))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,3765,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,3924,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847])).
% 204.32/204.41 cnf(12297,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(f934(f928(x122971),f928(x122971)),a923)),f162(x122971,x122972)),f311(f928(x122971),f161(x122971,x122972))))),
% 204.32/204.41 inference(rename_variables,[],[4262])).
% 204.32/204.41 cnf(12304,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x123041),f331(a116,x123041)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12307,plain,
% 204.32/204.41 (P107(f331(f331(f333(f935(x123071,a923)),x123072),f331(f312(x123071),x123072)))),
% 204.32/204.41 inference(rename_variables,[],[3924])).
% 204.32/204.41 cnf(12308,plain,
% 204.32/204.41 (~E(f331(a116,x123081),x123081)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12313,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x123131),x123131))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12317,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),f331(a108,f2(a1))),f331(a108,f78(a1))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,3765,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,4018,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,3924,11976,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,3560,11088,11133,11136,11167,11192,11228,11266,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,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% 204.32/204.41 cnf(12318,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x123181),x123181))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12325,plain,
% 204.32/204.41 (P107(f331(f61(a927),f309(a927,x123251,x123252)))),
% 204.32/204.41 inference(rename_variables,[],[3767])).
% 204.32/204.41 cnf(12332,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x123321,a923)),x123322),f331(f331(f313(x123321),x123323),x123322)))),
% 204.32/204.41 inference(rename_variables,[],[4006])).
% 204.32/204.41 cnf(12335,plain,
% 204.32/204.41 (P107(f331(f331(f198(a25),x123351),x123351))),
% 204.32/204.41 inference(rename_variables,[],[3559])).
% 204.32/204.41 cnf(12336,plain,
% 204.32/204.41 (~E(f331(a116,x123361),x123361)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12347,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x123471),x123471))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12348,plain,
% 204.32/204.41 (~E(f331(a116,x123481),x123481)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12351,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x123511),x123511))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12354,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x123541),x123541))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12357,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x123571),x123571))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12360,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x123601),x123601))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12363,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x123631),x123631))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12366,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x123661),x123661))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12369,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x123691),x123691))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12370,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x123701),f331(a116,x123701)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12377,plain,
% 204.32/204.41 (~E(f331(a116,x123771),x123771)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12382,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x123821),x123821))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12383,plain,
% 204.32/204.41 (~E(f331(a116,x123831),x123831)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12386,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x123861),x123861))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12388,plain,
% 204.32/204.41 (~P107(f331(f331(f239(a927),f331(a108,f78(a1))),f331(a108,f2(a1))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,3765,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,3924,11976,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,4040,4382,4781,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110])).
% 204.32/204.41 cnf(12403,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),x124031),x124031))),
% 204.32/204.41 inference(rename_variables,[],[3561])).
% 204.32/204.41 cnf(12408,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),f2(a927)),x124081))),
% 204.32/204.41 inference(rename_variables,[],[3581])).
% 204.32/204.41 cnf(12422,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124221),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(12425,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124251),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(12428,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x124281),x124282),f192(f935(x124281,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12431,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x124311),x124312),f192(f935(x124311,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12434,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124341),x124341))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12436,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124361),f331(f331(f105(a927),x124361),x124362)))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,3765,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,3924,11976,4291,3941,10736,10833,11388,11469,11548,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281])).
% 204.32/204.41 cnf(12437,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124371),x124371))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12440,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124401),x124401))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12443,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x124431),x124431))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12446,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x124461),f331(a116,x124461)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12453,plain,
% 204.32/204.41 (P107(f331(f331(f333(f935(x124531,a923)),x124532),f331(f312(x124531),x124532)))),
% 204.32/204.41 inference(rename_variables,[],[3924])).
% 204.32/204.41 cnf(12458,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x124581,a923)),x124582),f331(f331(f313(x124581),x124583),x124582)))),
% 204.32/204.41 inference(rename_variables,[],[4006])).
% 204.32/204.41 cnf(12465,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x124651),x124652),f192(f935(x124651,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12474,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x124741,a923)),x124742),f246(f935(x124741,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3941])).
% 204.32/204.41 cnf(12475,plain,
% 204.32/204.41 (~E(f331(a116,x124751),x124751)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12477,plain,
% 204.32/204.41 (~P23(a924,f331(f314(x124771,f926(a924),x124772),f331(f315(x124771,f926(a924),x124772),f192(f935(f926(a924),a923)))),f331(f331(f313(f926(a924)),f331(f331(f331(f91(a924),a936),a937),a938)),f192(f935(f926(a924),a923))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,3765,4733,10773,10873,11339,3168,3169,3171,3172,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,4011,12025,3542,3640,11851,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,3924,11976,12307,4291,3941,10736,10833,11388,11469,11548,11612,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,11170,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432])).
% 204.32/204.41 cnf(12478,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x124781,a923)),f331(f314(x124782,x124781,x124783),f331(f315(x124782,x124781,x124783),x124784))),x124784))),
% 204.32/204.41 inference(rename_variables,[],[4438])).
% 204.32/204.41 cnf(12481,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x124811,a923)),f331(f176(x124811),f331(f140(x124811,x124812),x124813))),f331(f176(x124811),x124813)))),
% 204.32/204.41 inference(rename_variables,[],[4207])).
% 204.32/204.41 cnf(12487,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x124871),f331(a116,x124871)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12495,plain,
% 204.32/204.41 (~P107(f331(f331(f333(f934(x124951,x124951)),x124952),f157(x124951,f117(f935(x124951,a927)))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,3924,11976,12307,4291,3941,10736,10833,11388,11469,11548,11612,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,11170,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505])).
% 204.32/204.41 cnf(12496,plain,
% 204.32/204.41 (E(f31(x124961,x124962,x124963,x124964,x124965,x124966,x124967,x124968,x124969,a25),x124962)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12507,plain,
% 204.32/204.41 (~P107(f331(f331(f239(a927),f331(a116,x125071)),x125071))),
% 204.32/204.41 inference(rename_variables,[],[4784])).
% 204.32/204.41 cnf(12508,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x125081),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(12511,plain,
% 204.32/204.41 (P107(f331(f61(x125111),f192(f935(x125111,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3636])).
% 204.32/204.41 cnf(12512,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x125121),x125122),f192(f935(x125121,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12519,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x125191,a923)),f331(f176(x125191),f180(x125191,x125192,x125193))),f331(f176(x125191),x125192)))),
% 204.32/204.41 inference(rename_variables,[],[4257])).
% 204.32/204.41 cnf(12522,plain,
% 204.32/204.41 (P24(x125221,x125221,f5(x125221),x125222)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12529,plain,
% 204.32/204.41 (P107(f331(f331(f333(f935(x125291,a923)),x125292),f331(f312(x125291),x125292)))),
% 204.32/204.41 inference(rename_variables,[],[3924])).
% 204.32/204.41 cnf(12536,plain,
% 204.32/204.41 (P107(f331(f331(f198(a25),x125361),x125361))),
% 204.32/204.41 inference(rename_variables,[],[3559])).
% 204.32/204.41 cnf(12539,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x125391),x125392),f192(f935(x125391,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12542,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x125421,a923)),x125422),f331(f331(f313(x125421),x125423),x125422)))),
% 204.32/204.41 inference(rename_variables,[],[4006])).
% 204.32/204.41 cnf(12543,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x125431,a923)),x125432),f246(f935(x125431,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3941])).
% 204.32/204.41 cnf(12550,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x125501),x125501))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12553,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x125531),x125531))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12556,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x125561),x125561))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12559,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x125591),x125591))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12561,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x125611),f331(a116,f331(f331(f238(a927),x125612),x125611))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,11391,3924,11976,12307,12453,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,11170,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835])).
% 204.32/204.41 cnf(12562,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x125621),f331(a116,x125621)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12565,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x125651),f331(a116,x125651)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12567,plain,
% 204.32/204.41 (P107(f331(f331(f239(a923),x125671),x125671))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,11391,3924,11976,12307,12453,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,11566,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,11170,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861])).
% 204.32/204.41 cnf(12568,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x125681,a923)),x125682),x125682))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12575,plain,
% 204.32/204.41 (P107(f331(f331(f333(f935(x125751,a923)),x125752),f331(f312(x125751),x125752)))),
% 204.32/204.41 inference(rename_variables,[],[3924])).
% 204.32/204.41 cnf(12581,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a1),f331(f331(f80(a1),a83),a83)),f2(a1)))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,4752,4753,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,11391,3924,11976,12307,12453,12529,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,11566,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,11170,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924])).
% 204.32/204.41 cnf(12584,plain,
% 204.32/204.41 (~E(f331(a116,x125841),x125841)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12585,plain,
% 204.32/204.41 (E(f331(f314(x125851,x125851,f5(x125851)),x125852),x125852)),
% 204.32/204.41 inference(rename_variables,[],[3617])).
% 204.32/204.41 cnf(12588,plain,
% 204.32/204.41 (P33(x125881,x125882,f117(x125881),f117(x125881))),
% 204.32/204.41 inference(rename_variables,[],[3806])).
% 204.32/204.41 cnf(12591,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x125911,a923)),f331(f176(x125911),f180(x125911,x125912,x125913))),f331(f176(x125911),x125912)))),
% 204.32/204.41 inference(rename_variables,[],[4257])).
% 204.32/204.41 cnf(12592,plain,
% 204.32/204.41 (P107(f331(f61(x125921),f331(f176(x125921),x125922)))),
% 204.32/204.41 inference(rename_variables,[],[3600])).
% 204.32/204.41 cnf(12603,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x126031),x126031))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12605,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),f331(f255(x126051,x126052),f331(f331(f256(x126051,x126052),x126053),f162(x126054,x126055)))),x126053))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,3806,4752,4753,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3617,11182,11311,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,4207,11179,4257,11391,12519,3924,11976,12307,12453,12529,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,3581,11033,11189,11259,12061,12209,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,11566,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,4438,11170,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,95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% 204.32/204.41 cnf(12606,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x126061),x126061))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12611,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),f2(a927)),x126111))),
% 204.32/204.41 inference(rename_variables,[],[3581])).
% 204.32/204.41 cnf(12618,plain,
% 204.32/204.41 (P12(a927,f331(f172(a927),f331(f331(f158(f928(x126181),a927),f193(f928(x126181))),f183(x126181,x126182))))),
% 204.32/204.41 inference(rename_variables,[],[4122])).
% 204.32/204.41 cnf(12621,plain,
% 204.32/204.41 (P24(x126211,x126211,f5(x126211),x126212)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12624,plain,
% 204.32/204.41 (P24(x126241,x126241,f5(x126241),x126242)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12627,plain,
% 204.32/204.41 (P107(f331(f331(f333(f928(x126271)),f117(x126271)),f165(x126271,x126272)))),
% 204.32/204.41 inference(rename_variables,[],[3757])).
% 204.32/204.41 cnf(12630,plain,
% 204.32/204.41 (~P107(f331(f331(f192(f935(x126301,f935(x126302,a923))),x126303),x126304))),
% 204.32/204.41 inference(rename_variables,[],[4801])).
% 204.32/204.41 cnf(12635,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x126351),x126351))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12636,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),f2(a927)),x126361))),
% 204.32/204.41 inference(rename_variables,[],[3581])).
% 204.32/204.41 cnf(12639,plain,
% 204.32/204.41 (~P107(f331(f331(f192(f935(x126391,f935(x126392,a923))),x126393),x126394))),
% 204.32/204.41 inference(rename_variables,[],[4801])).
% 204.32/204.41 cnf(12642,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(f934(f928(x126421),f928(x126421)),a923)),f162(x126421,x126422)),f311(f928(x126421),f161(x126421,x126422))))),
% 204.32/204.41 inference(rename_variables,[],[4262])).
% 204.32/204.41 cnf(12648,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126481,a923)),f331(f314(x126482,x126481,x126483),f331(f315(x126482,x126481,x126483),x126484))),x126484))),
% 204.32/204.41 inference(rename_variables,[],[4438])).
% 204.32/204.41 cnf(12651,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126511,a923)),f331(f176(x126511),f180(x126511,x126512,x126513))),f331(f176(x126511),x126512)))),
% 204.32/204.41 inference(rename_variables,[],[4257])).
% 204.32/204.41 cnf(12652,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126521,a923)),f331(f176(x126521),f331(f140(x126521,x126522),x126523))),f331(f176(x126521),x126523)))),
% 204.32/204.41 inference(rename_variables,[],[4207])).
% 204.32/204.41 cnf(12654,plain,
% 204.32/204.41 (~P107(f331(f331(f239(f935(x126541,a923)),f246(f935(x126541,a923))),f192(f935(x126541,a923))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,12522,12621,3806,4752,4753,3431,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3438,3617,11182,11311,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,3923,4613,4614,4740,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,12297,12642,4207,11179,12481,4257,11391,12519,12591,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,11566,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,4438,11170,12478,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287])).
% 204.32/204.41 cnf(12655,plain,
% 204.32/204.41 (~P107(f331(f331(f240(f935(x126551,a923)),x126552),f192(f935(x126551,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4795])).
% 204.32/204.41 cnf(12663,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126631,a923)),f331(f314(x126632,x126631,x126633),f331(f315(x126632,x126631,x126633),x126634))),x126634))),
% 204.32/204.41 inference(rename_variables,[],[4438])).
% 204.32/204.41 cnf(12668,plain,
% 204.32/204.41 (P107(f331(f331(f333(f928(x126681)),f117(x126681)),f165(x126681,x126682)))),
% 204.32/204.41 inference(rename_variables,[],[3757])).
% 204.32/204.41 cnf(12671,plain,
% 204.32/204.41 (~P107(f331(f331(f333(f934(f928(x126711),f928(x126711))),f331(f331(f256(f928(x126711),f928(x126711)),x126712),f117(x126711))),f149(x126711,x126713)))),
% 204.32/204.41 inference(rename_variables,[],[4804])).
% 204.32/204.41 cnf(12674,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x126741),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(12676,plain,
% 204.32/204.41 (~P107(f331(f61(x126761),f246(f935(x126761,a923))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,12522,12621,3806,3815,3529,4752,4753,3428,3431,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3438,3617,11182,11311,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,3923,4613,4614,4740,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,12297,12642,4207,11179,12481,4257,11391,12519,12591,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,11566,12568,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,4438,11170,12478,12648,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420])).
% 204.32/204.41 cnf(12677,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126771,a923)),x126772),x126772))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12680,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x126801),x126802),f192(f935(x126801,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12683,plain,
% 204.32/204.41 (~P107(f331(f331(f192(f935(x126831,f935(x126832,a923))),x126833),x126834))),
% 204.32/204.41 inference(rename_variables,[],[4801])).
% 204.32/204.41 cnf(12686,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126861,a923)),f331(f314(x126862,x126861,x126863),f331(f315(x126862,x126861,x126863),x126864))),x126864))),
% 204.32/204.41 inference(rename_variables,[],[4438])).
% 204.32/204.41 cnf(12687,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126871,a923)),x126872),x126872))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12692,plain,
% 204.32/204.41 (E(f31(x126921,x126922,x126923,x126924,x126925,x126926,x126927,x126928,x126929,a25),x126922)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12695,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x126951,a923)),f331(f176(x126951),f180(x126951,x126952,x126953))),f331(f176(x126951),x126952)))),
% 204.32/204.41 inference(rename_variables,[],[4257])).
% 204.32/204.41 cnf(12696,plain,
% 204.32/204.41 (P107(f331(f61(x126961),f331(f176(x126961),x126962)))),
% 204.32/204.41 inference(rename_variables,[],[3600])).
% 204.32/204.41 cnf(12702,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x127021),x127021))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12705,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x127051),x127051))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12709,plain,
% 204.32/204.41 (~P107(f331(f331(f240(f935(a927,a923)),f307(a927,x127091,x127092)),f307(a927,f331(a116,x127093),x127093)))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,12522,12621,3806,3815,3529,4752,4753,3428,3431,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,3765,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3505,4018,4327,3395,4112,11786,3456,3391,3418,3414,3402,3403,4030,3438,3617,11182,11311,3489,4195,4742,10603,10770,3549,12126,4785,11365,11464,11694,11697,3664,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,4804,11286,11529,11638,11664,11702,11708,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,3923,4613,4614,4740,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,12592,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,4303,4262,12297,12642,4207,11179,12481,4257,11391,12519,12591,12651,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,4163,11728,12081,4006,11302,11308,11328,12332,12458,3856,11444,11566,12568,12677,4008,11036,11407,11572,11606,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915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% 204.32/204.41 cnf(12716,plain,
% 204.32/204.41 (P24(x127161,x127161,f5(x127161),x127162)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12724,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x127241),x127242),f192(f935(x127241,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12727,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(x127271,x127271)),f331(f331(f256(x127271,x127271),x127272),x127272)),f311(x127271,x127273)))),
% 204.32/204.41 inference(rename_variables,[],[4197])).
% 204.32/204.41 cnf(12730,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x127301),x127302),f192(f935(x127301,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12733,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(x127331,x127331)),f331(f331(f256(x127331,x127331),x127332),x127332)),f311(x127331,x127333)))),
% 204.32/204.41 inference(rename_variables,[],[4197])).
% 204.32/204.41 cnf(12743,plain,
% 204.32/204.41 (~E(f331(f331(f155(x127431),x127432),x127433),x127433)),
% 204.32/204.41 inference(rename_variables,[],[4742])).
% 204.32/204.41 cnf(12750,plain,
% 204.32/204.41 (P107(f331(f331(f333(x127501),x127502),f246(f935(x127501,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3713])).
% 204.32/204.41 cnf(12751,plain,
% 204.32/204.41 (~E(f331(a116,x127511),x127511)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12754,plain,
% 204.32/204.41 (P107(f331(f331(f333(f928(x127541)),f117(x127541)),f165(x127541,x127542)))),
% 204.32/204.41 inference(rename_variables,[],[3757])).
% 204.32/204.41 cnf(12755,plain,
% 204.32/204.41 (~E(f331(f331(f155(x127551),x127552),x127553),f117(x127551))),
% 204.32/204.41 inference(rename_variables,[],[4749])).
% 204.32/204.41 cnf(12758,plain,
% 204.32/204.41 (P24(x127581,x127581,f5(x127581),x127582)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12761,plain,
% 204.32/204.41 (P107(f331(f331(f333(x127611),f331(x127612,x127613)),f331(f314(x127614,x127611,x127612),f246(f935(x127614,a923)))))),
% 204.32/204.41 inference(rename_variables,[],[4163])).
% 204.32/204.41 cnf(12762,plain,
% 204.32/204.41 (P24(x127621,x127621,f5(x127621),x127622)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12765,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x127651,a923)),f192(f935(x127651,a923))),x127652))),
% 204.32/204.41 inference(rename_variables,[],[4008])).
% 204.32/204.41 cnf(12766,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x127661,a923)),x127662),x127662))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12769,plain,
% 204.32/204.41 (P107(f331(f331(f333(x127691),f331(x127692,x127693)),f331(f314(x127694,x127691,x127692),f246(f935(x127694,a923)))))),
% 204.32/204.41 inference(rename_variables,[],[4163])).
% 204.32/204.41 cnf(12770,plain,
% 204.32/204.41 (P24(x127701,x127701,f5(x127701),x127702)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12773,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(f928(x127731),f928(x127731))),f331(f331(f256(f928(x127731),f928(x127731)),f117(x127731)),f117(x127731))),f162(x127731,x127732)))),
% 204.32/204.41 inference(rename_variables,[],[4341])).
% 204.32/204.41 cnf(12776,plain,
% 204.32/204.41 (~P107(f331(f331(f176(x127761),f117(x127761)),x127762))),
% 204.32/204.41 inference(rename_variables,[],[4783])).
% 204.32/204.41 cnf(12777,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x127771),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(12783,plain,
% 204.32/204.41 (E(f331(f331(f138(x127831),x127832),f117(x127831)),x127832)),
% 204.32/204.41 inference(rename_variables,[],[3490])).
% 204.32/204.41 cnf(12784,plain,
% 204.32/204.41 (~E(f331(f331(f155(x127841),x127842),x127843),x127843)),
% 204.32/204.41 inference(rename_variables,[],[4742])).
% 204.32/204.41 cnf(12786,plain,
% 204.32/204.41 (E(f331(f331(f155(x127861),x127862),f686(f117(x127861),f331(f331(f155(x127861),x127862),f117(x127861)),f117(x127861),x127862,x127861)),f331(f331(f155(x127861),x127862),f117(x127861)))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,12522,12621,12624,12716,12758,12762,3806,3815,3529,4752,4753,3428,3431,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3490,12783,3505,4018,4327,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,3489,4195,4742,10603,10770,11644,12743,12784,4749,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,4197,11385,11516,11575,12727,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3750,4792,4334,11661,3882,3600,12148,12151,12592,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,4006,11302,11308,11328,12332,12458,3856,11444,11566,12568,12677,12687,4008,11036,11407,11572,11606,11617,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195])).
% 204.32/204.41 cnf(12787,plain,
% 204.32/204.41 (E(f331(f331(f138(x127871),x127872),f117(x127871)),x127872)),
% 204.32/204.41 inference(rename_variables,[],[3490])).
% 204.32/204.41 cnf(12788,plain,
% 204.32/204.41 (~E(f331(f331(f155(x127881),x127882),x127883),x127883)),
% 204.32/204.41 inference(rename_variables,[],[4742])).
% 204.32/204.41 cnf(12791,plain,
% 204.32/204.41 (E(f331(f331(f138(x127911),x127912),f117(x127911)),x127912)),
% 204.32/204.41 inference(rename_variables,[],[3490])).
% 204.32/204.41 cnf(12798,plain,
% 204.32/204.41 (P52(x127981,f267(x127981,x127982))),
% 204.32/204.41 inference(rename_variables,[],[3432])).
% 204.32/204.41 cnf(12801,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128011,a923)),f331(f176(x128011),f331(f140(x128011,x128012),x128013))),f331(f176(x128011),x128013)))),
% 204.32/204.41 inference(rename_variables,[],[4207])).
% 204.32/204.41 cnf(12802,plain,
% 204.32/204.41 (E(f331(f314(x128021,x128021,f5(x128021)),x128022),x128022)),
% 204.32/204.41 inference(rename_variables,[],[3617])).
% 204.32/204.41 cnf(12807,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128071,a923)),x128072),f246(f935(x128071,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3941])).
% 204.32/204.41 cnf(12811,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x128111),x128111))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12812,plain,
% 204.32/204.41 (~E(f331(a116,x128121),x128121)),
% 204.32/204.41 inference(rename_variables,[],[4723])).
% 204.32/204.41 cnf(12815,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128151,a923)),f192(f935(x128151,a923))),x128152))),
% 204.32/204.41 inference(rename_variables,[],[4008])).
% 204.32/204.41 cnf(12818,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x128181),x128181))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12821,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128211,a923)),x128212),x128212))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12826,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128261,a923)),x128262),f331(f331(f313(x128261),x128263),x128262)))),
% 204.32/204.41 inference(rename_variables,[],[4006])).
% 204.32/204.41 cnf(12829,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128291,a923)),x128292),x128292))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12830,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x128301),x128302),f192(f935(x128301,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12833,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x128331),x128332),f192(f935(x128331,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12841,plain,
% 204.32/204.41 (~P107(f331(f331(f239(f935(f934(x128411,x128411),a923)),f331(f314(f934(x128411,x128411),f934(x128411,x128411),f5(f934(x128411,x128411))),f246(f935(f934(x128411,x128411),a923)))),f331(f314(f934(x128411,x128411),f934(x128411,x128411),f5(f934(x128411,x128411))),f192(f935(f934(x128411,x128411),a923)))))),
% 204.32/204.41 inference(scs_inference,[],[4802,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3490,12783,12787,3505,4018,4327,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,4197,11385,11516,11575,12727,12733,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,3621,11000,11030,11039,11042,11045,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314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% 204.32/204.41 cnf(12842,plain,
% 204.32/204.41 (P24(x128421,x128421,f5(x128421),x128422)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12845,plain,
% 204.32/204.41 (E(f331(f193(f928(x128451)),f173(x128451,x128452,x128453)),x128452)),
% 204.32/204.41 inference(rename_variables,[],[3627])).
% 204.32/204.41 cnf(12848,plain,
% 204.32/204.41 (P25(x128481,x128481,f32(x128481),x128482,x128482)),
% 204.32/204.41 inference(rename_variables,[],[4223])).
% 204.32/204.41 cnf(12851,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x128511),x128511))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12852,plain,
% 204.32/204.41 (P107(f331(f246(f935(x128521,a923)),x128522))),
% 204.32/204.41 inference(rename_variables,[],[3621])).
% 204.32/204.41 cnf(12855,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x128551),x128552),f192(f935(x128551,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12858,plain,
% 204.32/204.41 (P107(f331(f331(f333(x128581),f331(x128582,x128583)),f331(f314(x128584,x128581,x128582),f246(f935(x128584,a923)))))),
% 204.32/204.41 inference(rename_variables,[],[4163])).
% 204.32/204.41 cnf(12859,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(x128591,x128591)),f331(f331(f256(x128591,x128591),x128592),x128592)),f311(x128591,x128593)))),
% 204.32/204.41 inference(rename_variables,[],[4197])).
% 204.32/204.41 cnf(12862,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(x128621,x128621)),f331(f331(f256(x128621,x128621),x128622),x128622)),f311(x128621,x128623)))),
% 204.32/204.41 inference(rename_variables,[],[4197])).
% 204.32/204.41 cnf(12865,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x128651),x128651))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(12866,plain,
% 204.32/204.41 (P107(f331(f246(f935(x128661,a923)),x128662))),
% 204.32/204.41 inference(rename_variables,[],[3621])).
% 204.32/204.41 cnf(12869,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128691,a923)),x128692),f246(f935(x128691,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3941])).
% 204.32/204.41 cnf(12870,plain,
% 204.32/204.41 (P25(x128701,x128701,f32(x128701),x128702,x128702)),
% 204.32/204.41 inference(rename_variables,[],[4223])).
% 204.32/204.41 cnf(12873,plain,
% 204.32/204.41 (P107(f331(f61(x128731),f331(f176(x128731),x128732)))),
% 204.32/204.41 inference(rename_variables,[],[3600])).
% 204.32/204.41 cnf(12875,plain,
% 204.32/204.41 (E(f331(f331(f138(x128751),f685(x128752,x128753,f117(x128751),f331(f331(f155(x128751),x128753),x128752),x128751)),f117(x128751)),x128752)),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,4197,11385,11516,11575,12727,12733,12859,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677])).
% 204.32/204.41 cnf(12880,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(x128801,x128801)),f331(f331(f256(x128801,x128801),x128802),x128802)),f331(f331(f293(x128801,x128801,x128801),f311(x128801,x128803)),f311(x128801,f311(x128801,x128803)))))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,4197,11385,11516,11575,12727,12733,12859,12862,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,79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% 204.32/204.41 cnf(12883,plain,
% 204.32/204.41 (~P107(f331(f331(f192(f935(x128831,f935(x128832,a923))),x128833),x128834))),
% 204.32/204.41 inference(rename_variables,[],[4801])).
% 204.32/204.41 cnf(12886,plain,
% 204.32/204.41 (~P107(f331(f331(f192(f935(x128861,f935(x128862,a923))),x128863),x128864))),
% 204.32/204.41 inference(rename_variables,[],[4801])).
% 204.32/204.41 cnf(12889,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128891,a923)),x128892),f246(f935(x128891,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3941])).
% 204.32/204.41 cnf(12892,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(x128921,x128921)),f331(f331(f256(x128921,x128921),x128922),x128922)),f311(x128921,x128923)))),
% 204.32/204.41 inference(rename_variables,[],[4197])).
% 204.32/204.41 cnf(12895,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),f331(f331(f80(a927),x128951),x128952)),x128952))),
% 204.32/204.41 inference(rename_variables,[],[4798])).
% 204.32/204.41 cnf(12896,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x128961),f331(a116,x128961)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(12899,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x128991,a923)),x128992),f246(f935(x128991,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3941])).
% 204.32/204.41 cnf(12902,plain,
% 204.32/204.41 (E(f31(x129021,x129022,x129023,x129024,x129025,x129026,x129027,x129028,x129029,a25),x129022)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12912,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x129121),f331(f193(f928(x129122)),f117(x129122))))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,3896,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751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% 204.32/204.41 cnf(12913,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x129131),x129132),f192(f935(x129131,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12914,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(f928(x129141),f928(x129141))),f331(f331(f256(f928(x129141),f928(x129141)),f117(x129141)),f117(x129141))),f162(x129141,x129142)))),
% 204.32/204.41 inference(rename_variables,[],[4341])).
% 204.32/204.41 cnf(12916,plain,
% 204.32/204.41 (P107(f331(f331(f333(f934(a927,a927)),f331(f331(f256(a927,a927),f2(a927)),f331(a116,f2(a927)))),f331(f331(f293(a927,a927,a927),f311(a927,a321)),f311(a927,f311(a927,a321)))))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,3896,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836])).
% 204.32/204.41 cnf(12919,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x129191),x129192),f192(f935(x129191,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12924,plain,
% 204.32/204.41 (P32(x129241,x129242,f117(x129241))),
% 204.32/204.41 inference(rename_variables,[],[3495])).
% 204.32/204.41 cnf(12926,plain,
% 204.32/204.41 (P35(x129261,x129262,x129263,f117(x129261),f173(x129262,f331(f193(f928(x129261)),f117(x129261)),x129264))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,3495,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,3896,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007])).
% 204.32/204.41 cnf(12927,plain,
% 204.32/204.41 (E(f331(f193(f928(x129271)),f173(x129271,x129272,x129273)),x129272)),
% 204.32/204.41 inference(rename_variables,[],[3627])).
% 204.32/204.41 cnf(12930,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x129301),x129302),f192(f935(x129301,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12934,plain,
% 204.32/204.41 (~P107(f331(f331(f333(f934(f928(x129341),f928(x129341))),f331(f331(f256(f928(x129341),f928(x129341)),x129342),x129342)),f151(x129341,f157(x129341,f117(f935(x129341,a927))))))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,3806,3815,3529,3495,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,3353,4721,3896,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,3395,4112,11786,3456,3391,3418,3877,3414,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,4749,12755,3549,12126,4785,11365,11464,11694,11697,3664,4763,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194])).
% 204.32/204.41 cnf(12936,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x129361),x129361))),
% 204.32/204.41 inference(rename_variables,[],[4774])).
% 204.32/204.41 cnf(12939,plain,
% 204.32/204.41 (P107(f331(f331(f333(x129391),x129392),f246(f935(x129391,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3713])).
% 204.32/204.41 cnf(12940,plain,
% 204.32/204.41 (E(f331(f193(f928(x129401)),f173(x129401,x129402,x129403)),x129402)),
% 204.32/204.41 inference(rename_variables,[],[3627])).
% 204.32/204.41 cnf(12943,plain,
% 204.32/204.41 (P107(f331(f331(f239(f935(x129431,a923)),x129432),x129432))),
% 204.32/204.41 inference(rename_variables,[],[3856])).
% 204.32/204.41 cnf(12946,plain,
% 204.32/204.41 (~P107(f331(f331(f333(x129461),x129462),f192(f935(x129461,a923))))),
% 204.32/204.41 inference(rename_variables,[],[4787])).
% 204.32/204.41 cnf(12949,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),f2(a1)),f331(f331(f248(a1),f331(f76(a1),x129491)),x129492)))),
% 204.32/204.41 inference(rename_variables,[],[4039])).
% 204.32/204.41 cnf(12952,plain,
% 204.32/204.41 (E(f31(x129521,x129522,x129523,x129524,x129525,x129526,x129527,x129528,x129529,a25),x129522)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12954,plain,
% 204.32/204.41 (E(f31(x129541,x129542,x129543,x129544,x129545,x129546,x129547,x129548,x129549,a25),x129542)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12956,plain,
% 204.32/204.41 (P23(x129561,x129562,f192(f935(f926(x129561),a923)))),
% 204.32/204.41 inference(rename_variables,[],[3615])).
% 204.32/204.41 cnf(12961,plain,
% 204.32/204.41 (E(f31(x129611,x129612,x129613,x129614,x129615,x129616,x129617,x129618,x129619,a25),x129612)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12963,plain,
% 204.32/204.41 (E(f31(x129631,x129632,x129633,x129634,x129635,x129636,x129637,x129638,x129639,a25),x129632)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(12965,plain,
% 204.32/204.41 (P24(x129651,x129651,f5(x129651),x129652)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12967,plain,
% 204.32/204.41 (P24(x129671,x129671,f5(x129671),x129672)),
% 204.32/204.41 inference(rename_variables,[],[3797])).
% 204.32/204.41 cnf(12974,plain,
% 204.32/204.41 (P55(x129741,x129741,f267(x129741,x129742))),
% 204.32/204.41 inference(rename_variables,[],[3529])).
% 204.32/204.41 cnf(12983,plain,
% 204.32/204.41 (P53(x129831,x129832,f267(x129831,x129832))),
% 204.32/204.41 inference(rename_variables,[],[3528])).
% 204.32/204.41 cnf(12985,plain,
% 204.32/204.41 (P53(x129851,x129852,f267(x129851,x129852))),
% 204.32/204.41 inference(rename_variables,[],[3528])).
% 204.32/204.41 cnf(12987,plain,
% 204.32/204.41 (P53(x129871,x129872,f267(x129871,x129872))),
% 204.32/204.41 inference(rename_variables,[],[3528])).
% 204.32/204.41 cnf(12992,plain,
% 204.32/204.41 (E(f31(x129921,x129922,x129923,x129924,x129925,x129926,x129927,x129928,x129929,a25),x129922)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13000,plain,
% 204.32/204.41 (E(f31(x130001,x130002,x130003,x130004,x130005,x130006,x130007,x130008,x130009,a25),x130002)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13002,plain,
% 204.32/204.41 (E(f31(x130021,x130022,x130023,x130024,x130025,x130026,x130027,x130028,x130029,a25),x130022)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13004,plain,
% 204.32/204.41 (P56(x130041,f192(f935(x130041,a923)),x130042)),
% 204.32/204.41 inference(rename_variables,[],[3579])).
% 204.32/204.41 cnf(13008,plain,
% 204.32/204.41 (~E(f331(f333(f934(f928(x130081),f928(x130081))),f331(f331(f256(f928(x130081),f928(x130081)),f117(x130081)),f117(x130081))),f331(f176(x130082),f117(x130082)))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,3815,3528,12983,12985,3529,12974,3495,4752,4753,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,4720,3353,3427,4721,3896,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,4120,3939,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4785,11365,11464,11694,11697,3958,3664,4763,3631,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3900,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955])).
% 204.32/204.41 cnf(13012,plain,
% 204.32/204.41 (P33(x130121,x130122,f117(x130121),f117(x130121))),
% 204.32/204.41 inference(rename_variables,[],[3806])).
% 204.32/204.41 cnf(13013,plain,
% 204.32/204.41 (E(f31(x130131,x130132,x130133,x130134,x130135,x130136,x130137,x130138,x130139,a25),x130132)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13015,plain,
% 204.32/204.41 (P33(x130151,x130152,f117(x130151),f117(x130151))),
% 204.32/204.41 inference(rename_variables,[],[3806])).
% 204.32/204.41 cnf(13020,plain,
% 204.32/204.41 (E(f192(f935(f934(x130201,x130201),a923)),f267(x130201,f192(f935(x130201,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3631])).
% 204.32/204.41 cnf(13022,plain,
% 204.32/204.41 (P25(x130221,x130221,f32(x130221),x130222,x130222)),
% 204.32/204.41 inference(rename_variables,[],[4223])).
% 204.32/204.41 cnf(13024,plain,
% 204.32/204.41 (P25(x130241,x130241,f32(x130241),x130242,x130242)),
% 204.32/204.41 inference(rename_variables,[],[4223])).
% 204.32/204.41 cnf(13026,plain,
% 204.32/204.41 (P25(x130261,x130261,f32(x130261),x130262,x130262)),
% 204.32/204.41 inference(rename_variables,[],[4223])).
% 204.32/204.41 cnf(13037,plain,
% 204.32/204.41 (~E(f117(f31(x130371,x130372,x130373,x130374,x130375,x130376,x130377,x130378,x130379,a25)),f331(f331(f155(x130372),f149(x1303710,x1303711)),x1303712))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,3529,12974,3495,12924,4752,4753,12103,3428,3431,3432,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,4720,3353,3427,4721,3896,4126,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4120,3939,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4785,11365,11464,11694,11697,3958,3664,4763,3631,3453,10673,11003,3454,3718,3372,4211,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,4740,11769,3900,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990])).
% 204.32/204.41 cnf(13039,plain,
% 204.32/204.41 (P38(x130391,f157(x130391,x130392))),
% 204.32/204.41 inference(rename_variables,[],[3428])).
% 204.32/204.41 cnf(13040,plain,
% 204.32/204.41 (E(f31(x130401,x130402,x130403,x130404,x130405,x130406,x130407,x130408,x130409,a25),x130402)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13044,plain,
% 204.32/204.41 (P43(x130441,x130442,x130443,x130444,f192(f935(x130441,a923)),x130444)),
% 204.32/204.41 inference(rename_variables,[],[4499])).
% 204.32/204.41 cnf(13051,plain,
% 204.32/204.41 (E(f31(x130511,x130512,x130513,x130514,x130515,x130516,x130517,x130518,x130519,a25),x130512)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13055,plain,
% 204.32/204.41 (E(f31(x130551,x130552,x130553,x130554,x130555,x130556,x130557,x130558,x130559,a25),x130552)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13057,plain,
% 204.32/204.41 (P39(x130571,f267(x130571,x130572))),
% 204.32/204.41 inference(rename_variables,[],[3429])).
% 204.32/204.41 cnf(13061,plain,
% 204.32/204.41 (P6(x130611,a328)),
% 204.32/204.41 inference(rename_variables,[],[3371])).
% 204.32/204.41 cnf(13063,plain,
% 204.32/204.41 (E(f31(x130631,x130632,x130633,x130634,x130635,x130636,x130637,x130638,x130639,a25),x130632)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13065,plain,
% 204.32/204.41 (P52(x130651,f267(x130651,x130652))),
% 204.32/204.41 inference(rename_variables,[],[3432])).
% 204.32/204.41 cnf(13070,plain,
% 204.32/204.41 (E(f31(x130701,x130702,x130703,x130704,x130705,x130706,x130707,x130708,x130709,a25),x130702)),
% 204.32/204.41 inference(rename_variables,[],[4710])).
% 204.32/204.41 cnf(13076,plain,
% 204.32/204.41 (E(f192(f935(f934(x130761,x130761),a923)),f267(x130761,f192(f935(x130761,a923))))),
% 204.32/204.41 inference(rename_variables,[],[3631])).
% 204.32/204.41 cnf(13083,plain,
% 204.32/204.41 (P13(x130831,f935(x130831,a923),f313(x130831))),
% 204.32/204.41 inference(rename_variables,[],[3532])).
% 204.32/204.41 cnf(13103,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x131031),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(13105,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),a83),f2(a1)))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3196,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3330,3338,4720,3353,3427,4721,3896,4126,3540,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,4791,11895,11928,11965,11972,12005,3998,3766,3767,4145,3587,3589,3563,4775,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,4382,4781,4051,4087,4766,4769,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,4800,12022,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714])).
% 204.32/204.41 cnf(13112,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a1),f331(f104(a1),x131121)),f331(f79(a1),f331(f104(a1),x131122))))),
% 204.32/204.41 inference(rename_variables,[],[4796])).
% 204.32/204.41 cnf(13122,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x131221),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(13125,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x131251),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(13128,plain,
% 204.32/204.41 (P107(f331(f61(a927),f309(a927,x131281,x131282)))),
% 204.32/204.41 inference(rename_variables,[],[3767])).
% 204.32/204.41 cnf(13131,plain,
% 204.32/204.41 (P107(f331(f61(a927),f309(a927,x131311,x131312)))),
% 204.32/204.41 inference(rename_variables,[],[3767])).
% 204.32/204.41 cnf(13134,plain,
% 204.32/204.41 (P107(f331(f61(a927),f309(a927,x131341,x131342)))),
% 204.32/204.41 inference(rename_variables,[],[3767])).
% 204.32/204.41 cnf(13137,plain,
% 204.32/204.41 (P107(f331(f61(a927),f309(a927,x131371,x131372)))),
% 204.32/204.41 inference(rename_variables,[],[3767])).
% 204.32/204.41 cnf(13144,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),f331(f79(a1),f331(f104(a1),x131441))),f331(f104(a1),x131442)))),
% 204.32/204.41 inference(rename_variables,[],[4040])).
% 204.32/204.41 cnf(13146,plain,
% 204.32/204.41 (P107(f331(f331(f239(a1),f2(a1)),f331(f107(a1),f2(a1))))),
% 204.32/204.41 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3196,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3329,3330,3338,4720,3353,3427,4721,3896,4126,3540,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,4791,11895,11928,11965,11972,12005,3998,3766,3767,12325,13128,13131,13134,4145,3587,3589,3563,4775,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,12154,4382,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,3985,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261])).
% 204.32/204.41 cnf(13149,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a927),x131491),f2(a927)))),
% 204.32/204.41 inference(rename_variables,[],[4778])).
% 204.32/204.41 cnf(13150,plain,
% 204.32/204.41 (P107(f331(f331(f239(a927),x131501),x131501))),
% 204.32/204.41 inference(rename_variables,[],[3560])).
% 204.32/204.41 cnf(13157,plain,
% 204.32/204.41 (P107(f331(f331(f240(a927),x131571),f331(a116,x131571)))),
% 204.32/204.41 inference(rename_variables,[],[3628])).
% 204.32/204.41 cnf(13161,plain,
% 204.32/204.41 (~P107(f331(f331(f240(a1),f2(a1)),f331(f107(a1),f2(a1))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3196,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3329,3330,3338,4720,3353,3427,4721,3896,4126,3540,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,4791,11895,11928,11965,11972,12005,3998,3766,3767,12325,13128,13131,13134,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,3621,11000,11030,11039,11042,11045,11630,12852,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,12154,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,3984,3985,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517])).
% 204.32/204.42 cnf(13164,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x131641),x131641))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13167,plain,
% 204.32/204.42 (P107(f331(f61(a927),f309(a927,x131671,x131672)))),
% 204.32/204.42 inference(rename_variables,[],[3767])).
% 204.32/204.42 cnf(13170,plain,
% 204.32/204.42 (P107(f331(f61(a927),f309(a927,x131701,x131702)))),
% 204.32/204.42 inference(rename_variables,[],[3767])).
% 204.32/204.42 cnf(13173,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x131731),x131731))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13190,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),f45(a927,x131901,x131902)),x131901))),
% 204.32/204.42 inference(rename_variables,[],[4016])).
% 204.32/204.42 cnf(13195,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),x131951),f331(a116,x131951)))),
% 204.32/204.42 inference(rename_variables,[],[3628])).
% 204.32/204.42 cnf(13198,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),x131981),f331(a116,x131981)))),
% 204.32/204.42 inference(rename_variables,[],[3628])).
% 204.32/204.42 cnf(13199,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a927),x131991),f2(a927)))),
% 204.32/204.42 inference(rename_variables,[],[4778])).
% 204.32/204.42 cnf(13208,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a1),f331(f104(a1),x132081)),f2(a1)))),
% 204.32/204.42 inference(rename_variables,[],[4791])).
% 204.32/204.42 cnf(13209,plain,
% 204.32/204.42 (P107(f331(f246(f935(x132091,a923)),x132092))),
% 204.32/204.42 inference(rename_variables,[],[3621])).
% 204.32/204.42 cnf(13212,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a1),f331(f104(a1),x132121)),f2(a1)))),
% 204.32/204.42 inference(rename_variables,[],[4791])).
% 204.32/204.42 cnf(13213,plain,
% 204.32/204.42 (P107(f331(f246(f935(x132131,a923)),x132132))),
% 204.32/204.42 inference(rename_variables,[],[3621])).
% 204.32/204.42 cnf(13216,plain,
% 204.32/204.42 (P107(f331(f246(f935(x132161,a923)),x132162))),
% 204.32/204.42 inference(rename_variables,[],[3621])).
% 204.32/204.42 cnf(13227,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x132271),x132272),f192(f935(x132271,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13228,plain,
% 204.32/204.42 (P107(f331(f61(x132281),f192(f935(x132281,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13230,plain,
% 204.32/204.42 (~P107(f331(f331(f239(a1),f331(f107(a1),a83)),f331(f107(a1),a101)))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3220,3229,3235,3237,3244,3245,3257,3266,3306,3315,3318,3328,3329,3330,3338,4720,3353,3427,4721,3896,4126,3540,3601,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,4122,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,4791,11895,11928,11965,11972,12005,13208,3998,3766,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,3636,12511,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,4040,12154,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136])).
% 204.32/204.42 cnf(13237,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),f2(a927)),x132371))),
% 204.32/204.42 inference(rename_variables,[],[3581])).
% 204.32/204.42 cnf(13240,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x132401),x132402),f192(f935(x132401,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13243,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x132431),x132432),f192(f935(x132431,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13246,plain,
% 204.32/204.42 (P107(f331(f331(f291(a927),x132461),x132461))),
% 204.32/204.42 inference(rename_variables,[],[3562])).
% 204.32/204.42 cnf(13249,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x132491),x132491))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13257,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),x132571),f331(a116,x132571)))),
% 204.32/204.42 inference(rename_variables,[],[3628])).
% 204.32/204.42 cnf(13260,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x132601),x132601))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13265,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x132651),x132651))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13268,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x132681),x132681))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13271,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x132711),x132711))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13274,plain,
% 204.32/204.42 (E(f331(f331(f23(f935(x132741,a923)),f192(f935(x132741,a923))),x132742),f192(f935(x132741,a923)))),
% 204.32/204.42 inference(rename_variables,[],[3827])).
% 204.32/204.42 cnf(13275,plain,
% 204.32/204.42 (P107(f331(f61(x132751),f192(f935(x132751,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13278,plain,
% 204.32/204.42 (E(f331(f331(f23(f935(x132781,a923)),f192(f935(x132781,a923))),x132782),f192(f935(x132781,a923)))),
% 204.32/204.42 inference(rename_variables,[],[3827])).
% 204.32/204.42 cnf(13279,plain,
% 204.32/204.42 (P107(f331(f61(x132791),f192(f935(x132791,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13282,plain,
% 204.32/204.42 (E(f331(f331(f23(f935(x132821,a923)),f192(f935(x132821,a923))),x132822),f192(f935(x132821,a923)))),
% 204.32/204.42 inference(rename_variables,[],[3827])).
% 204.32/204.42 cnf(13283,plain,
% 204.32/204.42 (P107(f331(f61(x132831),f192(f935(x132831,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13286,plain,
% 204.32/204.42 (E(f331(f331(f23(f935(x132861,a923)),f192(f935(x132861,a923))),x132862),f192(f935(x132861,a923)))),
% 204.32/204.42 inference(rename_variables,[],[3827])).
% 204.32/204.42 cnf(13287,plain,
% 204.32/204.42 (P107(f331(f61(x132871),f192(f935(x132871,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13291,plain,
% 204.32/204.42 (E(f331(f288(x132911,x132911),f267(x132911,x132912)),x132912)),
% 204.32/204.42 inference(rename_variables,[],[3519])).
% 204.32/204.42 cnf(13296,plain,
% 204.32/204.42 (E(f331(f331(f23(f935(x132961,a923)),f192(f935(x132961,a923))),x132962),f192(f935(x132961,a923)))),
% 204.32/204.42 inference(rename_variables,[],[3827])).
% 204.32/204.42 cnf(13297,plain,
% 204.32/204.42 (P107(f331(f61(x132971),f192(f935(x132971,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13301,plain,
% 204.32/204.42 (P107(f331(f61(x133011),f192(f935(x133011,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3636])).
% 204.32/204.42 cnf(13304,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x133041),x133041))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13308,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x133081),x133081))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13321,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x133211),x133211))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13328,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x133281),x133281))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13331,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x133311),x133311))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13340,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x133401),x133402),f192(f935(x133401,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13342,plain,
% 204.32/204.42 (~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(a116,x133421)),x133422)),x133422))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,3490,12783,12787,12791,3505,4018,4327,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072])).
% 204.32/204.42 cnf(13351,plain,
% 204.32/204.42 (P107(f331(f331(f333(x133511),x133512),f246(f935(x133511,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3713])).
% 204.32/204.42 cnf(13352,plain,
% 204.32/204.42 (E(f331(f196(x133521,x133522),x133523),f125(x133521,x133522))),
% 204.32/204.42 inference(rename_variables,[],[3473])).
% 204.32/204.42 cnf(13354,plain,
% 204.32/204.42 (~P24(f928(x133541),x133542,f196(x133543,x133544),f165(x133541,f246(f935(x133541,a923))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122])).
% 204.32/204.42 cnf(13358,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x133581,a923)),x133582),f246(f935(x133581,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3941])).
% 204.32/204.42 cnf(13361,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x133611,a923)),x133612),x133612))),
% 204.32/204.42 inference(rename_variables,[],[3856])).
% 204.32/204.42 cnf(13367,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a927),x133671),f2(a927)))),
% 204.32/204.42 inference(rename_variables,[],[4778])).
% 204.32/204.42 cnf(13368,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x133681),x133681))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13372,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a927),x133721),f2(a927)))),
% 204.32/204.42 inference(rename_variables,[],[4778])).
% 204.32/204.42 cnf(13373,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x133731),x133731))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13375,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(a1,a923)),f307(a1,f78(a1),f2(a1))),f307(a1,f2(a1),f78(a1))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395])).
% 204.32/204.42 cnf(13378,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x133781),x133781))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13379,plain,
% 204.32/204.42 (P107(f331(f61(a927),f307(a927,x133791,x133792)))),
% 204.32/204.42 inference(rename_variables,[],[3766])).
% 204.32/204.42 cnf(13386,plain,
% 204.32/204.42 (E(f331(f331(f16(x133861,x133862),x133863),x133864),x133863)),
% 204.32/204.42 inference(rename_variables,[],[3549])).
% 204.32/204.42 cnf(13389,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x133891,a923)),f331(f176(x133891),f180(x133891,x133892,x133893))),f331(f176(x133891),x133892)))),
% 204.32/204.42 inference(rename_variables,[],[4257])).
% 204.32/204.42 cnf(13391,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),f441(f331(x133911,f2(a927)),x133911,f2(a927))),f2(a927)))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663])).
% 204.32/204.42 cnf(13393,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a927),x133931),f2(a927)))),
% 204.32/204.42 inference(rename_variables,[],[4778])).
% 204.32/204.42 cnf(13394,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x133941),x133941))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13398,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a927),x133981),f2(a927)))),
% 204.32/204.42 inference(rename_variables,[],[4778])).
% 204.32/204.42 cnf(13399,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x133991),x133991))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13404,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x134041),x134041))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13407,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x134071),x134071))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13410,plain,
% 204.32/204.42 (~P107(f331(f331(f239(a927),f331(a116,x134101)),x134101))),
% 204.32/204.42 inference(rename_variables,[],[4784])).
% 204.32/204.42 cnf(13415,plain,
% 204.32/204.42 (E(x134151,f536(f331(f5(x134152),f331(f5(x134152),x134151)),f5(x134152),x134152,x134152))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,4795,11130,11540,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912])).
% 204.32/204.42 cnf(13416,plain,
% 204.32/204.42 (P107(f331(f331(f333(x134161),f331(x134162,x134163)),f331(f314(x134164,x134161,x134162),f246(f935(x134164,a923)))))),
% 204.32/204.42 inference(rename_variables,[],[4163])).
% 204.32/204.42 cnf(13417,plain,
% 204.32/204.42 (P24(x134171,x134171,f5(x134171),x134172)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13422,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x134221,a923)),x134222),f246(f935(x134221,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3941])).
% 204.32/204.42 cnf(13423,plain,
% 204.32/204.42 (P24(x134231,x134231,f5(x134231),x134232)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13427,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x134271,a923)),x134272),f246(f935(x134271,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3941])).
% 204.32/204.42 cnf(13428,plain,
% 204.32/204.42 (P24(x134281,x134281,f5(x134281),x134282)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13432,plain,
% 204.32/204.42 (P24(x134321,x134321,f5(x134321),x134322)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13434,plain,
% 204.32/204.42 (~P107(f331(f331(f240(f935(a927,a923)),f331(f314(a1,a927,a108),f192(f935(a1,a923)))),f331(f314(a1,a927,a108),f192(f935(a1,a923)))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,4795,11130,11540,12655,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,4339,4008,11036,11407,11572,11606,11617,12765,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258])).
% 204.32/204.42 cnf(13435,plain,
% 204.32/204.42 (~P107(f331(f331(f240(f935(x134351,a923)),x134352),f192(f935(x134351,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4795])).
% 204.32/204.42 cnf(13438,plain,
% 204.32/204.42 (P24(x134381,x134381,f5(x134381),x134382)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13441,plain,
% 204.32/204.42 (P24(x134411,x134411,f5(x134411),x134412)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13450,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x134501,a923)),x134502),f246(f935(x134501,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3941])).
% 204.32/204.42 cnf(13455,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x134551,a923)),f192(f935(x134551,a923))),x134552))),
% 204.32/204.42 inference(rename_variables,[],[4008])).
% 204.32/204.42 cnf(13457,plain,
% 204.32/204.42 (~E(f117(f928(x134571)),f331(f331(f138(f928(x134571)),x134572),f331(f331(f155(f928(x134571)),f117(x134571)),x134573)))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,3616,3579,13004,3765,12280,4733,10773,10873,11339,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3257,3266,3277,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,4153,4785,11365,11464,11694,11697,3958,3664,3883,3637,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,4145,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,4257,11391,12519,12591,12651,12695,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,4795,11130,11540,12655,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,4006,11302,11308,11328,12332,12458,12542,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,4339,4008,11036,11407,11572,11606,11617,12765,12815,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530])).
% 204.32/204.42 cnf(13459,plain,
% 204.32/204.42 (E(f331(f288(x134591,x134591),f267(x134591,x134592)),x134592)),
% 204.32/204.42 inference(rename_variables,[],[3519])).
% 204.32/204.42 cnf(13463,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x134631),x134632),f192(f935(x134631,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13466,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x134661,a923)),x134662),f331(f331(f313(x134661),x134663),x134662)))),
% 204.32/204.42 inference(rename_variables,[],[4006])).
% 204.32/204.42 cnf(13468,plain,
% 204.32/204.42 (P24(x134681,x134681,f5(x134681),x134682)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13471,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x134711,a923)),x134712),f246(f935(x134711,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3941])).
% 204.32/204.42 cnf(13475,plain,
% 204.32/204.42 (P107(f331(f331(f333(x134751),x134752),f246(f935(x134751,a923))))),
% 204.32/204.42 inference(rename_variables,[],[3713])).
% 204.32/204.42 cnf(13479,plain,
% 204.32/204.42 (E(f331(f331(f16(x134791,x134792),x134793),x134794),x134793)),
% 204.32/204.42 inference(rename_variables,[],[3549])).
% 204.32/204.42 cnf(13482,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x134821),x134822),f192(f935(x134821,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13485,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x134851),x134852),f192(f935(x134851,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13488,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),x134881),f331(a116,x134881)))),
% 204.32/204.42 inference(rename_variables,[],[3628])).
% 204.32/204.42 cnf(13489,plain,
% 204.32/204.42 (~E(f331(a116,x134891),x134891)),
% 204.32/204.42 inference(rename_variables,[],[4723])).
% 204.32/204.42 cnf(13492,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),x134921),f331(a116,f331(f331(f80(a927),x134922),x134921))))),
% 204.32/204.42 inference(rename_variables,[],[4009])).
% 204.32/204.42 cnf(13493,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),x134931),f331(a116,x134931)))),
% 204.32/204.42 inference(rename_variables,[],[3628])).
% 204.32/204.42 cnf(13497,plain,
% 204.32/204.42 (~E(f331(a116,x134971),x134971)),
% 204.32/204.42 inference(rename_variables,[],[4723])).
% 204.32/204.42 cnf(13502,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),f2(a1)),f331(f104(a1),x135021)))),
% 204.32/204.42 inference(rename_variables,[],[3660])).
% 204.32/204.42 cnf(13505,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),f2(a927)),x135051))),
% 204.32/204.42 inference(rename_variables,[],[3581])).
% 204.32/204.42 cnf(13506,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),x135061),x135061))),
% 204.32/204.42 inference(rename_variables,[],[3560])).
% 204.32/204.42 cnf(13509,plain,
% 204.32/204.42 (~E(f331(a116,x135091),f2(a927))),
% 204.32/204.42 inference(rename_variables,[],[4733])).
% 204.32/204.42 cnf(13512,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),x135121),x135121))),
% 204.32/204.42 inference(rename_variables,[],[3561])).
% 204.32/204.42 cnf(13513,plain,
% 204.32/204.42 (P107(f331(f61(a1),f307(a1,x135131,x135132)))),
% 204.32/204.42 inference(rename_variables,[],[3769])).
% 204.32/204.42 cnf(13516,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x135161,a923)),f331(f176(x135161),f180(x135161,x135162,x135163))),f331(f176(x135161),x135162)))),
% 204.32/204.42 inference(rename_variables,[],[4257])).
% 204.32/204.42 cnf(13521,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x135211),x135212),f192(f935(x135211,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13524,plain,
% 204.32/204.42 (P107(f331(f61(a927),f309(a927,x135241,x135242)))),
% 204.32/204.42 inference(rename_variables,[],[3767])).
% 204.32/204.42 cnf(13525,plain,
% 204.32/204.42 (E(f331(f331(f237(a927),f331(a116,x135251)),f331(a116,x135252)),f331(a116,f331(f331(f237(a927),x135251),x135252)))),
% 204.32/204.42 inference(rename_variables,[],[3731])).
% 204.32/204.42 cnf(13528,plain,
% 204.32/204.42 (P107(f331(f61(a927),f309(a927,x135281,x135282)))),
% 204.32/204.42 inference(rename_variables,[],[3767])).
% 204.32/204.42 cnf(13529,plain,
% 204.32/204.42 (E(f331(f331(f238(a927),f331(a116,x135291)),f331(a116,x135292)),f331(a116,f331(f331(f238(a927),x135291),x135292)))),
% 204.32/204.42 inference(rename_variables,[],[3732])).
% 204.32/204.42 cnf(13532,plain,
% 204.32/204.42 (P107(f331(f61(a927),f309(a927,x135321,x135322)))),
% 204.32/204.42 inference(rename_variables,[],[3767])).
% 204.32/204.42 cnf(13536,plain,
% 204.32/204.42 (P107(f331(f61(a927),f309(a927,x135361,x135362)))),
% 204.32/204.42 inference(rename_variables,[],[3767])).
% 204.32/204.42 cnf(13541,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x135411),x135412),f192(f935(x135411,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13542,plain,
% 204.32/204.42 (E(f331(f331(f16(x135421,x135422),x135423),x135424),x135423)),
% 204.32/204.42 inference(rename_variables,[],[3549])).
% 204.32/204.42 cnf(13545,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x135451,a923)),f331(f176(x135451),f331(f140(x135451,x135452),x135453))),f331(f176(x135451),x135453)))),
% 204.32/204.42 inference(rename_variables,[],[4207])).
% 204.32/204.42 cnf(13546,plain,
% 204.32/204.42 (E(f331(f331(f16(x135461,x135462),x135463),x135464),x135463)),
% 204.32/204.42 inference(rename_variables,[],[3549])).
% 204.32/204.42 cnf(13549,plain,
% 204.32/204.42 (P107(f331(f331(f239(f935(x135491,a923)),f331(f176(x135491),f331(f331(f179(x135491),x135492),x135493))),f331(f176(x135491),x135493)))),
% 204.32/204.42 inference(rename_variables,[],[4252])).
% 204.32/204.42 cnf(13550,plain,
% 204.32/204.42 (E(f331(f331(f16(x135501,x135502),x135503),x135504),x135503)),
% 204.32/204.42 inference(rename_variables,[],[3549])).
% 204.32/204.42 cnf(13554,plain,
% 204.32/204.42 (E(f331(f331(f16(x135541,x135542),x135543),x135544),x135543)),
% 204.32/204.42 inference(rename_variables,[],[3549])).
% 204.32/204.42 cnf(13567,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),f2(a1)),f331(f104(a1),x135671)))),
% 204.32/204.42 inference(rename_variables,[],[3660])).
% 204.32/204.42 cnf(13572,plain,
% 204.32/204.42 (P24(x135721,x135721,f5(x135721),x135722)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13575,plain,
% 204.32/204.42 (~P107(f331(f331(f333(x135751),x135752),f192(f935(x135751,a923))))),
% 204.32/204.42 inference(rename_variables,[],[4787])).
% 204.32/204.42 cnf(13576,plain,
% 204.32/204.42 (E(f331(f288(x135761,x135761),f267(x135761,x135762)),x135762)),
% 204.32/204.42 inference(rename_variables,[],[3519])).
% 204.32/204.42 cnf(13577,plain,
% 204.32/204.42 (P24(x135771,x135771,f5(x135771),x135772)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13581,plain,
% 204.32/204.42 (E(f331(f288(x135811,x135811),f267(x135811,x135812)),x135812)),
% 204.32/204.42 inference(rename_variables,[],[3519])).
% 204.32/204.42 cnf(13582,plain,
% 204.32/204.42 (P24(x135821,x135821,f5(x135821),x135822)),
% 204.32/204.42 inference(rename_variables,[],[3797])).
% 204.32/204.42 cnf(13586,plain,
% 204.32/204.42 (P107(f331(f331(f240(f935(a1,a923)),f307(a1,f78(a1),f2(a1))),f307(a1,f2(a1),f78(a1))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3208,3209,3216,3217,3220,3229,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,4011,12025,3542,3640,11851,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,4010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989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655])).
% 204.32/204.42 cnf(13591,plain,
% 204.32/204.42 (P107(f331(f331(f239(a1),f331(f79(a1),f331(f104(a1),x135911))),f2(a1)))),
% 204.32/204.42 inference(rename_variables,[],[3998])).
% 204.32/204.42 cnf(13595,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),f2(a927)),x135951))),
% 204.32/204.42 inference(rename_variables,[],[3581])).
% 204.32/204.42 cnf(13596,plain,
% 204.32/204.42 (P107(f331(f331(f240(a927),f2(a927)),f331(a116,x135961)))),
% 204.32/204.42 inference(rename_variables,[],[3640])).
% 204.32/204.42 cnf(13597,plain,
% 204.32/204.42 (E(f331(f288(x135971,x135971),f267(x135971,x135972)),x135972)),
% 204.32/204.42 inference(rename_variables,[],[3519])).
% 204.32/204.42 cnf(13613,plain,
% 204.32/204.42 (E(f31(x136131,x136132,x136133,x136134,x136135,x136136,x136137,x136138,x136139,a25),x136132)),
% 204.32/204.42 inference(rename_variables,[],[4710])).
% 204.32/204.42 cnf(13617,plain,
% 204.32/204.42 (E(f331(f331(f80(a927),f2(a927)),f882(f331(a116,f2(a927)),f2(a927))),f2(a927))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894])).
% 204.32/204.42 cnf(13623,plain,
% 204.32/204.42 (~E(f331(f331(f155(x136231),x136232),x136233),f331(f172(x136231),f117(x136231)))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944])).
% 204.32/204.42 cnf(13679,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a1),f2(a1)),f2(a1)))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919])).
% 204.32/204.42 cnf(13681,plain,
% 204.32/204.42 (P107(f331(f331(f240(a1),f2(a1)),f331(f76(a1),f78(a1))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920])).
% 204.32/204.42 cnf(13703,plain,
% 204.32/204.42 (~P107(f331(f61(x137031),f37(f935(x137031,a923),f246(f935(f935(x137031,a923),a923)))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503])).
% 204.32/204.42 cnf(13711,plain,
% 204.32/204.42 (~P107(f331(f331(f240(a927),f2(a927)),f31(x137111,f2(a927),x137112,x137113,x137114,x137115,x137116,x137117,x137118,a25)))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503,6627,6784,6988,7243])).
% 204.32/204.42 cnf(13731,plain,
% 204.32/204.42 (~P107(f331(f331(f239(f935(a1,a923)),f331(f314(a927,a1,f104(a1)),f307(a927,f2(a927),f2(a927)))),f331(f314(a927,a1,f104(a1)),f307(a927,f331(a116,f2(a927)),x137311))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503,6627,6784,6988,7243,7413,7643,7707,8042,8044,8296,8302,9005,9240,9342])).
% 204.32/204.42 cnf(13747,plain,
% 204.32/204.42 (~P107(f331(f331(f239(a927),f331(a116,f331(f146(a927,a927,f80(a927),f2(a927)),f173(a927,f331(a116,f2(a927)),f331(a116,f2(a927)))))),f331(a116,f2(a927))))),
% 204.32/204.42 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3927,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,11705,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,13536,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,12886,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503,6627,6784,6988,7243,7413,7643,7707,8042,8044,8296,8302,9005,9240,9342,9585,5173,5319,5517,5912,6155])).
% 204.32/204.42 cnf(13759,plain,
% 204.32/204.42 (P107(f331(f331(f239(a927),f331(f331(f80(a927),f2(a927)),x137591)),x137591))),
% 204.32/204.43 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,4018,4327,3473,13352,3627,12845,12927,3394,3395,4112,11786,3615,12956,3456,3458,3927,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,11705,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,13536,3769,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,12886,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503,6627,6784,6988,7243,7413,7643,7707,8042,8044,8296,8302,9005,9240,9342,9585,5173,5319,5517,5912,6155,6233,6253,6263,6287,6301,6558])).
% 204.32/204.43 cnf(13777,plain,
% 204.32/204.43 (P107(f331(f331(f240(f935(a1,a923)),f331(f314(a1,a1,f5(a1)),f307(a1,f78(a1),f2(a1)))),f331(f314(a1,a1,f5(a1)),f307(a1,f2(a1),f78(a1)))))),
% 204.32/204.43 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,13582,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3168,3169,3171,3172,3174,3175,3178,3179,3180,3186,3187,3191,3192,3193,3196,3197,3200,3201,3204,3205,3208,3209,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3328,3329,3330,3331,3338,3349,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,3612,4018,4327,3473,13352,3627,12845,12927,12940,3394,3395,4112,11786,3615,12956,3456,3458,3927,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,3514,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,11705,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,13536,3769,13513,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,13466,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,12886,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503,6627,6784,6988,7243,7413,7643,7707,8042,8044,8296,8302,9005,9240,9342,9585,5173,5319,5517,5912,6155,6233,6253,6263,6287,6301,6558,6744,7601,7666,8096,8135,9174])).
% 204.32/204.43 cnf(13781,plain,
% 204.32/204.43 (~E(f331(a116,x137811),x137811)),
% 204.32/204.43 inference(rename_variables,[],[4723])).
% 204.32/204.43 cnf(13784,plain,
% 204.32/204.43 (~E(f331(a116,x137841),x137841)),
% 204.32/204.43 inference(rename_variables,[],[4723])).
% 204.32/204.43 cnf(13819,plain,
% 204.32/204.43 (E(f331(f35(a927),f31(x138191,f331(f331(f313(a927),f331(a116,f2(a927))),f331(f305(a927),f2(a927))),x138192,x138193,x138194,x138195,x138196,x138197,x138198,a25)),f331(a116,f331(a116,f2(a927))))),
% 204.32/204.43 inference(scs_inference,[],[4802,4223,12848,12870,13022,13024,13026,3797,11459,12522,12621,12624,12716,12758,12762,12770,12842,12965,12967,13417,13423,13428,13432,13438,13441,13468,13572,13577,13582,3806,12588,13012,13015,3815,3528,12983,12985,12987,3529,12974,3495,12924,4752,4753,12103,4499,13044,3532,13083,3371,13061,3428,13039,3429,13057,3430,3431,3432,12798,13065,4751,4710,10536,10556,10612,10615,10708,10711,11027,11053,11314,11317,11737,11740,11755,11758,11796,11803,11806,11809,11812,11822,11863,11879,11906,11909,11920,11925,11931,12034,12037,12040,12043,12047,12057,12145,12177,12496,12692,12902,12952,12954,12961,12963,12992,13000,13002,13013,13040,13051,13055,13063,13070,13613,3858,4723,10539,10549,10563,10574,10577,10681,10684,10687,10789,10924,11234,11429,11432,11451,11454,11647,11743,11750,11764,11815,11818,11852,11868,11934,11992,12008,12308,12336,12348,12377,12383,12475,12584,12751,12812,13489,13497,13781,13784,3616,3579,13004,3765,12280,4733,10773,10873,11339,11439,13509,3164,3167,3168,3169,3171,3172,3174,3175,3176,3178,3179,3180,3182,3186,3187,3189,3190,3191,3192,3193,3196,3197,3200,3201,3204,3205,3207,3208,3209,3210,3216,3217,3220,3229,3233,3235,3237,3244,3245,3246,3256,3257,3266,3271,3277,3278,3281,3282,3283,3292,3306,3308,3315,3318,3319,3323,3324,3328,3329,3330,3331,3332,3338,3340,3349,3352,4720,3353,3427,4721,3896,4126,3540,3601,3519,13291,13459,13576,13581,13597,3490,12783,12787,12791,3505,3612,4018,4327,3473,13352,3627,12845,12927,12940,3394,3395,4112,11786,3615,12956,3456,3458,3927,3391,3418,3877,3414,3521,4232,4120,3939,3402,3403,3381,4030,3438,3617,11182,11311,12585,12802,3489,3514,4195,4742,10603,10770,11644,12743,12784,12788,4749,12755,3549,12126,12129,13386,13479,13542,13546,13550,13554,4153,4785,11365,11464,11694,11697,3958,3546,3664,3883,3637,3656,4763,3631,13020,13076,3453,10673,11003,3454,4772,3718,3446,3372,3504,4211,4200,3475,11776,4341,12773,12914,4197,11385,11516,11575,12727,12733,12859,12862,12892,4804,11286,11529,11638,11664,11702,11708,12671,4805,11418,11532,11641,11705,4806,11535,11586,4807,11593,4808,3474,3757,12627,12668,12754,3923,3706,4613,4614,3741,3778,4740,11769,3900,3860,3902,4075,3827,13274,13278,13282,13286,13296,4122,12618,3743,4001,3628,10692,10812,10890,10963,10966,11006,11106,11355,11969,12180,12224,12304,12370,12446,12487,12562,12565,12896,13157,13195,13198,13257,13488,13493,4011,12025,3542,3640,11851,12141,13596,3821,4778,10580,10583,10609,10733,10908,11114,11127,11244,11686,11779,11968,12195,12200,12422,12425,12508,12674,12777,13103,13122,13125,13149,13199,13367,13372,13393,13398,4791,11895,11928,11965,11972,12005,13208,13212,3998,13591,3766,13379,3767,12325,13128,13131,13134,13137,13167,13170,13524,13528,13532,13536,3769,13513,4145,3731,13525,3732,13529,3587,3589,3563,4775,3452,4737,3949,4263,3750,4792,4334,11661,3882,3600,12148,12151,12592,12696,12873,4783,10568,10571,10741,10836,10855,10862,10885,10893,10896,10913,11099,11342,11555,11845,11944,12094,12213,12216,12776,4303,4262,12297,12642,4207,11179,12481,12652,12801,13545,4252,13549,4257,11391,12519,12591,12651,12695,13389,13516,4258,3924,11976,12307,12453,12529,12575,4291,3941,10736,10833,11388,11469,11548,11612,12474,12543,12807,12869,12889,12899,13358,13422,13427,13450,13471,4795,11130,11540,12655,13435,3559,10701,10799,10949,11013,11871,11878,12097,12110,12144,12176,12277,12335,12536,3560,11088,11133,11136,11167,11192,11228,11266,11305,12351,12354,12357,12360,12550,12553,12556,12559,12635,12818,12865,13150,13173,13249,13260,13265,13268,13271,13304,13321,13328,13378,13404,13407,13506,3561,10728,10784,11018,11109,11231,11937,12183,12192,12283,12294,12313,12318,12363,12386,12403,13164,13308,13331,13368,13373,13394,13399,13512,3562,13246,3636,12511,13228,13275,13279,13283,13287,13297,13301,4774,10620,10649,11151,11195,11204,12056,12078,12251,12254,12257,12260,12347,12366,12369,12382,12434,12437,12440,12443,12603,12606,12702,12705,12811,12851,12936,3713,10878,10969,11239,11283,11519,11522,11601,11683,11855,12106,12750,12939,13351,13475,4787,11160,11275,11296,11299,11368,11371,11382,11485,11493,11507,11543,11560,11569,11609,11650,11655,11658,11677,11680,11711,11716,11719,11722,11725,11975,12123,12157,12428,12431,12465,12512,12539,12680,12724,12730,12830,12833,12855,12913,12919,12930,12946,13227,13240,13243,13340,13463,13482,13485,13521,13541,13575,3621,11000,11030,11039,11042,11045,11630,12852,12866,13209,13213,13216,3660,13502,13567,3653,4079,4016,10652,12028,12060,13190,4784,10600,10988,10991,11488,11504,11991,12046,12082,12107,12210,12239,12242,12245,12248,12507,13410,3581,11033,11189,11259,12061,12209,12408,12611,12636,13237,13505,13595,4040,12154,13144,4382,3772,4781,4051,4087,4766,4769,4770,3535,3539,4768,4767,4550,3872,12021,4477,4797,10899,10902,4803,11374,11377,11563,11674,11691,11731,4163,11728,12081,12085,12761,12769,12858,13416,4006,11302,11308,11328,12332,12458,12542,12826,13466,3856,11444,11566,12568,12677,12687,12766,12821,12829,12943,13361,4339,4008,11036,11407,11572,11606,11617,12765,12815,13455,3714,3822,10952,10955,11048,11215,3824,4800,12022,4796,13112,4801,10792,10905,12630,12639,12683,12883,12886,4438,11170,12478,12648,12663,12686,4345,4039,12949,3984,3985,4798,10625,10628,10994,10997,11892,12086,12895,4799,12002,12091,4009,10958,11221,13492,4010,4277,4815,4841,4896,4900,4928,4943,4950,4952,4988,4993,5022,5028,5115,5141,5142,5157,5179,5207,5208,5231,5232,5246,5249,5274,5280,5296,5300,5301,5302,5307,5308,5331,5356,5358,5359,5369,5374,5380,5417,5418,5426,5434,5438,5440,5455,5458,5464,5469,5470,5483,5489,5492,5493,5497,5530,5544,5553,5555,5556,5559,5560,5561,5571,5573,5579,5580,5581,5587,5591,5592,5593,5601,5605,5606,5611,5624,5632,5644,5646,5654,5656,5657,5660,5664,5690,5704,5705,5720,5732,5754,5760,5782,5783,5786,5805,5813,5814,5819,5820,5830,5832,5844,5848,5857,5858,5860,5861,5877,5882,5891,5892,5903,5910,5924,5928,5931,5937,5938,5939,5942,5947,5983,5984,5987,5989,5991,5993,5994,5995,5997,5999,6001,6006,6013,6028,6042,6048,6049,6052,6063,6064,6071,6075,6077,6082,6090,6126,6139,6148,6151,6160,6164,6165,6166,6167,6168,6172,6177,6188,6194,6212,6215,6227,6256,6270,6297,6314,6315,6318,6333,6335,6337,6339,6354,6355,6358,6360,6363,6364,6378,6386,6387,6388,6390,6392,6427,6428,6434,6437,6443,6447,6481,6483,6485,6487,6497,6499,6501,6507,6509,6515,6518,6526,6534,6536,6537,6543,6565,6566,6567,6568,6569,6571,6577,6582,6615,6616,6619,6620,6621,6623,6624,6625,6626,6633,6668,6669,6678,6699,6700,6720,6722,6734,6735,6741,6771,6773,6787,6827,6829,6830,6882,6905,6949,6968,6977,6978,6979,6980,6999,7000,7007,7019,7022,7024,7026,7027,7028,7030,7044,7055,7056,7057,7070,7122,7133,7135,7157,7158,7195,7202,7207,7237,7257,7269,7325,7354,7409,7430,7439,7442,7502,7512,7571,7573,7587,7596,7597,7598,7615,7619,7621,7669,7679,7682,7697,7746,7748,7751,7792,7793,7811,7879,7897,7921,7945,7957,7972,7983,7994,7995,8023,8025,8027,8037,8075,8086,8111,8138,8170,8201,8234,8279,8295,8297,8313,8314,8377,8388,8454,8478,8497,8524,8563,8564,8581,8621,8623,8625,8631,8648,8652,8667,8689,8700,8702,8715,8720,8724,8725,8726,8727,8728,8729,8751,8766,8767,8785,8786,8791,8792,8793,8794,8795,8813,8814,8815,8825,8838,8841,8852,8857,8859,8861,8862,8863,8870,8876,8884,8887,8904,8905,8914,8915,8923,8942,8955,8959,8980,9002,9003,9006,9007,9013,9022,9023,9046,9057,9067,9068,9069,9072,9095,9096,9107,9156,9166,9168,9186,9198,9199,9200,9211,9278,9309,9310,9311,9326,9343,9351,9379,9380,9451,9484,9490,9500,9501,9502,9511,9542,9558,9562,9566,9590,9591,9618,9680,9685,9688,9725,9726,9727,9755,9756,9773,9794,9800,9812,9837,9858,9867,9868,9869,9870,9885,9887,9892,9922,9923,9929,9930,9974,9975,9986,9987,10011,10029,10031,10032,10040,10045,10052,10076,10111,10113,10117,10167,10208,10209,10211,10220,10221,10241,10246,10338,10434,10435,10436,10437,10500,10520,2,8,9,4828,4829,4847,4889,4891,4892,4915,4921,4922,4932,4977,4979,5027,5158,5159,5172,5196,5252,5253,5259,5260,5262,5264,5273,5276,5277,5285,5298,5299,5305,5326,5327,5344,5349,5350,5351,5352,5357,5365,5368,5375,5431,5436,5437,5442,5449,5480,5490,5495,5511,5528,5529,5536,5537,5538,5549,5567,5569,5570,5577,5584,5585,5597,5598,5599,5600,5602,5603,5607,5608,5609,5610,5640,5641,5642,5650,5651,5652,5653,5696,5701,5703,5739,5741,5742,5744,5745,5747,5748,5750,5759,5764,5765,5766,5768,5770,5771,5772,5773,5774,5775,5784,5794,5797,5808,5824,5825,5828,5838,5840,5841,5842,5869,5879,5894,5895,5904,5905,5907,5909,5914,5949,5954,5956,6015,6050,6051,6056,6062,6065,6066,6067,6068,6087,6091,6092,6101,6123,6152,6171,6175,6176,6178,6187,6202,6206,6209,6210,6211,6229,6240,6241,6272,6273,6277,6299,6302,6305,6327,6328,6356,6359,6367,6377,6385,6389,6397,6398,6399,6400,6430,6431,6448,6500,6538,6540,6562,6563,6570,6574,6575,6578,6592,6607,6628,6629,6634,6645,6648,6661,6681,6687,6689,6704,6705,6708,6709,6711,6713,6714,6715,6717,6719,6721,6727,6728,6730,6731,6737,6739,6781,6786,6801,6803,6804,6805,6840,6845,6847,6852,6853,6861,6865,6877,6900,6901,6903,6904,6915,6919,6922,6941,6944,6962,6993,6994,6995,7001,7015,7034,7036,7038,7040,7045,7051,7053,7067,7072,7073,7108,7109,7110,7124,7125,7127,7128,7147,7149,7166,7193,7215,7226,7228,7230,7232,7233,7267,7268,7272,7273,7280,7281,7283,7285,7307,7316,7317,7328,7338,7378,7388,7392,7399,7410,7415,7417,7424,7432,7433,7446,7463,7484,7486,7505,7557,7558,7559,7561,7563,7567,7572,7636,7665,7680,7685,7696,7728,7732,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7887,7888,7920,7922,7923,7924,7930,7951,7969,7974,7980,7982,7990,8002,8003,8005,8028,8035,8058,8124,8125,8126,8173,8179,8180,8203,8204,8221,8222,8223,8286,8287,8316,8345,8354,8365,8380,8410,8414,8420,8432,8450,8455,8477,8522,8551,8565,8585,8588,8614,8639,8703,8704,8707,8708,8783,8817,8818,8819,8820,8847,8879,8908,8916,8917,8958,8979,9024,9040,9086,9089,9104,9111,9153,9194,9195,9214,9215,9229,9348,9353,9357,9377,9388,9413,9415,9418,9424,9426,9427,9438,9439,9458,9464,9475,9483,9528,9546,9603,9604,9610,9649,9672,9677,9717,9731,9735,9736,9740,9741,9754,9778,9793,9802,9803,9805,9807,9836,9956,9957,10006,10007,10046,10082,10194,10250,10408,10426,10431,3,2895,2896,2897,2898,2900,2904,2907,2908,2909,2910,2911,2912,2913,2920,2921,2922,2924,2925,2926,2927,2928,2929,2930,2932,2933,2938,2941,2943,2951,2952,2954,2955,2956,2957,2959,2960,2962,2964,2965,2966,2967,2968,2969,2973,2974,2976,2977,2980,2988,2989,2990,2995,2996,3005,3008,3009,3010,3018,3019,3021,3023,3025,3026,3037,3044,3061,3062,3063,3073,3090,3091,3093,3094,3101,3102,3107,3109,3115,3116,3138,3139,3150,3151,5527,5566,5712,5713,5714,5795,5893,5923,5957,5973,5975,5981,6043,6044,6045,6046,6054,6089,6224,6261,6271,6296,6331,6368,6517,6522,6559,6560,6583,6585,6587,6594,6595,6596,6597,6598,6599,6600,6601,6682,6751,6752,6839,6872,6873,6912,6913,7052,7066,7136,7137,7143,7167,7199,7201,7240,7248,7270,7271,7289,7290,7327,7372,7373,7470,7538,7539,7540,7541,7556,7588,7641,7642,7651,7656,7657,7668,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,7928,8066,8072,8073,8083,8121,8122,8199,8242,8299,8321,8322,8395,8490,8561,8562,8566,8600,8663,8664,8738,8759,8760,8761,8762,8912,9170,9171,9243,9258,9312,9313,9397,9435,9468,9495,9530,9571,9776,9899,10041,10219,10275,10277,6666,6667,6754,6774,6775,7190,7408,8546,8754,8833,9080,9269,9270,9339,9340,9525,9621,9622,9623,9624,9839,10105,10119,10486,10487,6736,8655,8656,9136,9154,10106,10485,4862,4894,4895,4898,4944,4948,4953,4994,5092,5109,5139,5140,5171,5230,5233,5292,5405,5425,5465,5466,5468,5475,5476,5500,5543,5574,5596,5728,5800,5801,5802,5862,5919,5920,5946,5950,6009,6011,6020,6026,6105,6185,6338,6393,6503,6627,6784,6988,7243,7413,7643,7707,8042,8044,8296,8302,9005,9240,9342,9585,5173,5319,5517,5912,6155,6233,6253,6263,6287,6301,6558,6744,7601,7666,8096,8135,9174,9705,9706,10175,2894,2899,2901,2902,2906,2914,2915,2923,2931,2935,2963,2971,2987,3057,3098,3140,3144,6086,6136,6283,6855,6856,7286,5863])).
% 204.32/204.43 cnf(13857,plain,
% 204.32/204.43 (~P107(f331(f331(f333(x138571),x138572),f331(f289(x138573,x138571,x138574),f331(f289(x138575,x138573,x138576),f192(f935(x138575,a923))))))),
% 204.32/204.43 inference(rename_variables,[],[11652])).
% 204.32/204.43 cnf(13867,plain,
% 204.32/204.43 (E(f331(x138671,f331(f92(x138672,x138673,f246(f935(x138672,a923)),x138671),f331(x138671,x138674))),f331(x138671,x138674))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(13870,plain,
% 204.32/204.43 (E(x138701,f31(x138702,x138701,x138703,x138704,x138705,x138706,x138707,x138708,x138709,a25))),
% 204.32/204.43 inference(rename_variables,[],[11733])).
% 204.32/204.43 cnf(13873,plain,
% 204.32/204.43 (E(x138731,f31(x138732,x138731,x138733,x138734,x138735,x138736,x138737,x138738,x138739,a25))),
% 204.32/204.43 inference(rename_variables,[],[11733])).
% 204.32/204.43 cnf(13878,plain,
% 204.32/204.43 (E(f331(x138781,f331(f92(x138782,x138783,f246(f935(x138782,a923)),x138781),f331(x138781,x138784))),f331(x138781,x138784))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(13886,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),x138861),f331(f331(f80(a1),x138861),f78(a1))))),
% 204.32/204.43 inference(rename_variables,[],[11230])).
% 204.32/204.43 cnf(13889,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),x138891),f331(f331(f80(a1),x138891),f78(a1))))),
% 204.32/204.43 inference(rename_variables,[],[11230])).
% 204.32/204.43 cnf(13894,plain,
% 204.32/204.43 (~P107(f331(f331(f240(a927),x138941),f331(f193(f928(x138942)),f117(x138942))))),
% 204.32/204.43 inference(rename_variables,[],[12912])).
% 204.32/204.43 cnf(13905,plain,
% 204.32/204.43 (E(f331(x139051,f331(f92(x139052,x139053,f246(f935(x139052,a923)),x139051),f331(x139051,x139054))),f331(x139051,x139054))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(13924,plain,
% 204.32/204.43 (~P107(f331(f331(f333(x139241),x139242),f331(f289(x139243,x139241,x139244),f331(f289(x139245,x139243,x139246),f192(f935(x139245,a923))))))),
% 204.32/204.43 inference(rename_variables,[],[11652])).
% 204.32/204.43 cnf(13927,plain,
% 204.32/204.43 (E(f331(x139271,f331(f92(x139272,x139273,f246(f935(x139272,a923)),x139271),f331(x139271,x139274))),f331(x139271,x139274))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(13933,plain,
% 204.32/204.43 (E(f331(x139331,f331(f92(x139332,x139333,f246(f935(x139332,a923)),x139331),f331(x139331,x139334))),f331(x139331,x139334))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(13936,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139361,x139362)),x139363),f331(f314(f934(x139364,x139364),f934(x139361,x139362),f262(x139364,x139361,x139364,x139362,x139365,x139366)),f157(x139364,f117(f935(x139364,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(13939,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139391,x139392)),x139393),f331(f314(f934(x139394,x139394),f934(x139391,x139392),f262(x139394,x139391,x139394,x139392,x139395,x139396)),f157(x139394,f117(f935(x139394,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(13942,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139421,x139422)),x139423),f331(f314(f934(x139424,x139424),f934(x139421,x139422),f262(x139424,x139421,x139424,x139422,x139425,x139426)),f157(x139424,f117(f935(x139424,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(13945,plain,
% 204.32/204.43 (~P107(f331(f331(f333(x139451),x139452),f331(f289(x139453,x139451,x139454),f331(f289(x139455,x139453,x139456),f192(f935(x139455,a923))))))),
% 204.32/204.43 inference(rename_variables,[],[11652])).
% 204.32/204.43 cnf(13948,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139481,x139482)),x139483),f331(f314(f934(x139484,x139484),f934(x139481,x139482),f262(x139484,x139481,x139484,x139482,x139485,x139486)),f157(x139484,f117(f935(x139484,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(13951,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139511,x139512)),x139513),f331(f314(f934(x139514,x139514),f934(x139511,x139512),f262(x139514,x139511,x139514,x139512,x139515,x139516)),f157(x139514,f117(f935(x139514,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(13954,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139541,x139542)),x139543),f331(f314(f934(x139544,x139544),f934(x139541,x139542),f262(x139544,x139541,x139544,x139542,x139545,x139546)),f157(x139544,f117(f935(x139544,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(13957,plain,
% 204.32/204.43 (~P107(f331(f331(f333(x139571),x139572),f331(f289(x139573,x139571,x139574),f331(f289(x139575,x139573,x139576),f192(f935(x139575,a923))))))),
% 204.32/204.43 inference(rename_variables,[],[11652])).
% 204.32/204.43 cnf(13960,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139601,x139601)),x139602),f267(x139601,f192(f935(x139601,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(13963,plain,
% 204.32/204.43 (E(f331(x139631,f331(f92(x139632,x139633,f246(f935(x139632,a923)),x139631),f331(x139631,x139634))),f331(x139631,x139634))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(13977,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x139771,x139771)),x139772),f157(x139771,f117(f935(x139771,a927)))))),
% 204.32/204.43 inference(rename_variables,[],[12495])).
% 204.32/204.43 cnf(13985,plain,
% 204.32/204.43 (~P107(f331(f331(f239(f935(x139851,a923)),f246(f935(x139851,a923))),f192(f935(x139851,a923))))),
% 204.32/204.43 inference(rename_variables,[],[12654])).
% 204.32/204.43 cnf(13988,plain,
% 204.32/204.43 (~P35(x139881,x139882,x139883,f331(f331(f158(x139884,x139881),x139885),f331(a116,f117(x139884))),f117(x139882))),
% 204.32/204.43 inference(rename_variables,[],[11577])).
% 204.32/204.43 cnf(13991,plain,
% 204.32/204.43 (~P107(f331(f331(f67(f928(x139911),f928(x139911),f149(x139911,x139912)),x139913),f117(x139911)))),
% 204.32/204.43 inference(rename_variables,[],[11415])).
% 204.32/204.43 cnf(14026,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x140261),f78(a1))),x140261))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14029,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x140291,x140291)),x140292),f267(x140291,f192(f935(x140291,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14036,plain,
% 204.32/204.43 (E(f331(f79(f935(x140361,a923)),f331(f79(f935(x140361,a923)),x140362)),x140362)),
% 204.32/204.43 inference(rename_variables,[],[3687])).
% 204.32/204.43 cnf(14041,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x140411),f78(a1))),x140411))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14044,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x140441,x140442)),x140443),f331(f314(f934(x140444,x140444),f934(x140441,x140442),f262(x140444,x140441,x140444,x140442,x140445,x140446)),f157(x140444,f117(f935(x140444,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14047,plain,
% 204.32/204.43 (E(f331(x140471,f331(f92(x140472,x140473,f246(f935(x140472,a923)),x140471),f331(x140471,x140474))),f331(x140471,x140474))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14050,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x140501,x140501)),x140502),f267(x140501,f192(f935(x140501,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14053,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x140531),f928(x140531))),f331(f331(f256(f928(x140531),f928(x140531)),x140532),x140533)),f161(x140531,f157(x140531,f117(f935(x140531,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14058,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x140581),f928(x140581))),f331(f331(f256(f928(x140581),f928(x140581)),x140582),x140582)),f151(x140581,f157(x140581,f117(f935(x140581,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[12934])).
% 204.32/204.43 cnf(14063,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x140631,x140631)),x140632),f267(x140631,f192(f935(x140631,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14070,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x140701,x140702)),x140703),f331(f314(f934(x140704,x140704),f934(x140701,x140702),f262(x140704,x140701,x140704,x140702,x140705,x140706)),f157(x140704,f117(f935(x140704,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14073,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x140731,a923)),f331(f176(x140731),f331(f331(f142(x140731),x140732),x140733))),f331(f176(x140731),x140733)))),
% 204.32/204.43 inference(rename_variables,[],[4253])).
% 204.32/204.43 cnf(14078,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x140781,x140782,a923,f331(f176(x140783),f117(x140783))),x140784),x140785))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14084,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x140841,a923)),f331(f289(x140842,x140841,f192(f935(f934(x140842,x140841),a923))),x140843)),x140844))),
% 204.32/204.43 inference(rename_variables,[],[11571])).
% 204.32/204.43 cnf(14090,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x140901),f928(x140901))),f331(f331(f256(f928(x140901),f928(x140901)),x140902),x140903)),f161(x140901,f157(x140901,f117(f935(x140901,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14093,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x140931,x140932,a923,f331(f176(x140933),f117(x140933))),x140934),x140935))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14118,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x141181,x141182,a923,f331(f176(x141183),f117(x141183))),x141184),x141185))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14138,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x141381),f78(a1))),x141381))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14141,plain,
% 204.32/204.43 (~P107(f331(f331(f240(a927),x141411),f331(f331(f105(a927),x141411),x141412)))),
% 204.32/204.43 inference(rename_variables,[],[12436])).
% 204.32/204.43 cnf(14148,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x141481,a923)),f331(f331(f23(f935(x141481,a923)),x141482),x141483)),x141482))),
% 204.32/204.43 inference(rename_variables,[],[4276])).
% 204.32/204.43 cnf(14153,plain,
% 204.32/204.43 (E(x141531,f31(x141532,x141531,x141533,x141534,x141535,x141536,x141537,x141538,x141539,a25))),
% 204.32/204.43 inference(rename_variables,[],[11733])).
% 204.32/204.43 cnf(14173,plain,
% 204.32/204.43 (E(x141731,f31(x141732,x141731,x141733,x141734,x141735,x141736,x141737,x141738,x141739,a25))),
% 204.32/204.43 inference(rename_variables,[],[11733])).
% 204.32/204.43 cnf(14178,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x141781,x141782,a923,f331(f176(x141783),f117(x141783))),x141784),x141785))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14196,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x141961,x141962)),x141963),f331(f314(f934(x141964,x141964),f934(x141961,x141962),f262(x141964,x141961,x141964,x141962,x141965,x141966)),f157(x141964,f117(f935(x141964,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14203,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x142031,x142031)),x142032),f267(x142031,f192(f935(x142031,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14206,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x142061,x142062,a923,f331(f176(x142063),f117(x142063))),x142064),x142065))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14211,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x142111),f331(f331(f80(a927),x142112),x142111)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14214,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x142141,a923)),f331(f289(x142142,x142141,x142143),f192(f935(x142142,a923)))),x142144))),
% 204.32/204.43 inference(rename_variables,[],[11616])).
% 204.32/204.43 cnf(14224,plain,
% 204.32/204.43 (~E(f331(f331(f155(x142241),x142242),x142243),f331(f172(x142241),f117(x142241)))),
% 204.32/204.43 inference(rename_variables,[],[13623])).
% 204.32/204.43 cnf(14227,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x142271,a923)),x142272),f331(f331(f114(f935(x142271,a923)),x142273),x142272)))),
% 204.32/204.43 inference(rename_variables,[],[4150])).
% 204.32/204.43 cnf(14230,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x142301),f78(a1))),x142301))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14235,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f935(x142351,a923),f935(x142351,a923))),f331(f331(f256(f935(x142351,a923),f935(x142351,a923)),x142352),f192(f935(x142351,a923)))),f318(x142351)))),
% 204.32/204.43 inference(rename_variables,[],[11598])).
% 204.32/204.43 cnf(14238,plain,
% 204.32/204.43 (E(f331(x142381,f331(f92(x142382,x142383,f246(f935(x142382,a923)),x142381),f331(x142381,x142384))),f331(x142381,x142384))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14241,plain,
% 204.32/204.43 (E(f331(x142411,f331(f92(x142412,x142413,f246(f935(x142412,a923)),x142411),f331(x142411,x142414))),f331(x142411,x142414))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14244,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x142441,a923)),f331(f331(f23(f935(x142441,a923)),x142442),x142443)),x142442))),
% 204.32/204.43 inference(rename_variables,[],[4276])).
% 204.32/204.43 cnf(14251,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x142511),f331(f331(f80(a927),x142512),x142511)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14265,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x142651,a923)),f331(f331(f23(f935(x142651,a923)),x142652),x142653)),x142652))),
% 204.32/204.43 inference(rename_variables,[],[4276])).
% 204.32/204.43 cnf(14295,plain,
% 204.32/204.43 (~E(f246(f935(x142951,a923)),f192(f935(x142951,a923)))),
% 204.32/204.43 inference(rename_variables,[],[4743])).
% 204.32/204.43 cnf(14300,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x143001,a923)),f331(f289(x143002,x143001,f192(f935(f934(x143002,x143001),a923))),x143003)),x143004))),
% 204.32/204.43 inference(rename_variables,[],[11571])).
% 204.32/204.43 cnf(14305,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x143051,x143051)),x143052),f267(x143051,f192(f935(x143051,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14313,plain,
% 204.32/204.43 (E(f331(f331(f80(a927),f2(a927)),x143131),x143131)),
% 204.32/204.43 inference(rename_variables,[],[3467])).
% 204.32/204.43 cnf(14316,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x143161,x143162)),x143163),f331(f314(f934(x143164,x143164),f934(x143161,x143162),f262(x143164,x143161,x143164,x143162,x143165,x143166)),f157(x143164,f117(f935(x143164,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14321,plain,
% 204.32/204.43 (~E(f331(f331(f155(x143211),x143212),f331(f331(f138(x143211),f31(x143213,f117(x143211),x143214,x143215,x143216,x143217,x143218,x143219,x1432110,a25)),x1432111)),x1432111)),
% 204.32/204.43 inference(rename_variables,[],[11908])).
% 204.32/204.43 cnf(14324,plain,
% 204.32/204.43 (E(f331(f79(f935(x143241,a923)),f331(f79(f935(x143241,a923)),x143242)),x143242)),
% 204.32/204.43 inference(rename_variables,[],[3687])).
% 204.32/204.43 cnf(14327,plain,
% 204.32/204.43 (P107(f331(f331(f239(a923),x143271),x143271))),
% 204.32/204.43 inference(rename_variables,[],[12567])).
% 204.32/204.43 cnf(14332,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x143321,x143322,a923,f331(f176(x143323),f117(x143323))),x143324),x143325))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14335,plain,
% 204.32/204.43 (~P35(x143351,x143352,x143353,f331(f331(f158(x143354,x143351),x143355),f331(a116,f117(x143354))),f117(x143352))),
% 204.32/204.43 inference(rename_variables,[],[11577])).
% 204.32/204.43 cnf(14343,plain,
% 204.32/204.43 (~E(f331(f331(f155(x143431),x143432),x143433),f331(f172(x143431),f117(x143431)))),
% 204.32/204.43 inference(rename_variables,[],[13623])).
% 204.32/204.43 cnf(14350,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x143501,a923)),f331(f289(x143502,x143501,x143503),f192(f935(x143502,a923)))),x143504))),
% 204.32/204.43 inference(rename_variables,[],[11616])).
% 204.32/204.43 cnf(14355,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x143551),f928(x143551))),f331(f331(f256(f928(x143551),f928(x143551)),x143552),f117(x143551))),f331(f290(f928(x143551),f928(x143551)),f161(x143551,x143553))))),
% 204.32/204.43 inference(rename_variables,[],[11585])).
% 204.32/204.43 cnf(14358,plain,
% 204.32/204.43 (~E(f331(f331(f155(x143581),x143582),x143583),f331(f172(x143581),f117(x143581)))),
% 204.32/204.43 inference(rename_variables,[],[13623])).
% 204.32/204.43 cnf(14366,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x143661),f928(x143661))),f331(f331(f256(f928(x143661),f928(x143661)),x143662),f117(x143661))),f331(f290(f928(x143661),f928(x143661)),f161(x143661,x143663))))),
% 204.32/204.43 inference(rename_variables,[],[11585])).
% 204.32/204.43 cnf(14369,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x143691),f928(x143691))),f331(f331(f256(f928(x143691),f928(x143691)),x143692),x143693)),f161(x143691,f157(x143691,f117(f935(x143691,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14380,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x143801,a923)),f331(f331(f23(f935(x143801,a923)),x143802),x143803)),x143802))),
% 204.32/204.43 inference(rename_variables,[],[4276])).
% 204.32/204.43 cnf(14383,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x143831,a923)),f331(f289(x143832,x143831,f192(f935(f934(x143832,x143831),a923))),x143833)),x143834))),
% 204.32/204.43 inference(rename_variables,[],[11571])).
% 204.32/204.43 cnf(14395,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x143951,x143952)),x143953),f331(f314(f934(x143954,x143954),f934(x143951,x143952),f262(x143954,x143951,x143954,x143952,x143955,x143956)),f157(x143954,f117(f935(x143954,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14408,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x144081,x144081)),x144082),f267(x144081,f192(f935(x144081,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14413,plain,
% 204.32/204.43 (E(f331(f79(f935(x144131,a923)),f331(f79(f935(x144131,a923)),x144132)),x144132)),
% 204.32/204.43 inference(rename_variables,[],[3687])).
% 204.32/204.43 cnf(14416,plain,
% 204.32/204.43 (~E(f331(f262(x144161,x144162,x144163,x144163,f314(x144164,f935(x144164,a923),x144165),f32(x144163)),x144166),f331(f262(x144161,x144162,x144163,x144163,f312(x144164),f32(x144163)),x144166))),
% 204.32/204.43 inference(rename_variables,[],[11693])).
% 204.32/204.43 cnf(14435,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x144351,a923)),x144352),f331(f331(f114(f935(x144351,a923)),x144353),x144352)))),
% 204.32/204.43 inference(rename_variables,[],[4150])).
% 204.32/204.43 cnf(14462,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),f331(f331(f80(a927),f2(a927)),x144621)),x144621))),
% 204.32/204.43 inference(rename_variables,[],[13759])).
% 204.32/204.43 cnf(14465,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x144651),f928(x144651))),f331(f331(f256(f928(x144651),f928(x144651)),x144652),x144653)),f161(x144651,f157(x144651,f117(f935(x144651,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14470,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x144701),f78(a1))),x144701))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14473,plain,
% 204.32/204.43 (E(f331(f314(x144731,x144731,f32(x144731)),x144732),x144732)),
% 204.32/204.43 inference(rename_variables,[],[3618])).
% 204.32/204.43 cnf(14476,plain,
% 204.32/204.43 (~E(f331(f172(x144761),f331(f331(f155(x144761),x144762),x144763)),f117(x144761))),
% 204.32/204.43 inference(rename_variables,[],[10803])).
% 204.32/204.43 cnf(14484,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x144841,x144842,a923,f331(f176(x144843),f117(x144843))),x144844),x144845))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14487,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x144871,a923)),x144872),f331(f331(f114(f935(x144871,a923)),x144873),x144872)))),
% 204.32/204.43 inference(rename_variables,[],[4150])).
% 204.32/204.43 cnf(14496,plain,
% 204.32/204.43 (~P107(f331(f66(a927,x144961,x144962,x144963,f246(f935(a927,a923))),x144964))),
% 204.32/204.43 inference(rename_variables,[],[11619])).
% 204.32/204.43 cnf(14521,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x145211),f928(x145211))),f331(f331(f256(f928(x145211),f928(x145211)),f117(x145211)),x145212)),f331(f290(f928(x145211),f928(x145211)),f149(x145211,x145213))))),
% 204.32/204.43 inference(rename_variables,[],[11537])).
% 204.32/204.43 cnf(14524,plain,
% 204.32/204.43 (E(f331(x145241,f331(f92(x145242,x145243,f246(f935(x145242,a923)),x145241),f331(x145241,x145244))),f331(x145241,x145244))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14531,plain,
% 204.32/204.43 (~E(x145311,f331(f331(f155(x145312),x145313),x145311))),
% 204.32/204.43 inference(rename_variables,[],[11227])).
% 204.32/204.43 cnf(14534,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x145341),f928(x145341))),f331(f331(f256(f928(x145341),f928(x145341)),x145342),x145343)),f161(x145341,f157(x145341,f117(f935(x145341,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14543,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x145431,x145432)),x145433),f331(f314(f934(x145434,x145434),f934(x145431,x145432),f262(x145434,x145431,x145434,x145432,x145435,x145436)),f157(x145434,f117(f935(x145434,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14546,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x145461,x145462)),x145463),f331(f314(f934(x145464,x145464),f934(x145461,x145462),f262(x145464,x145461,x145464,x145462,x145465,x145466)),f157(x145464,f117(f935(x145464,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14549,plain,
% 204.32/204.43 (~P107(f331(f331(f67(f928(x145491),f928(x145491),f149(x145491,x145492)),x145493),f117(x145491)))),
% 204.32/204.43 inference(rename_variables,[],[11415])).
% 204.32/204.43 cnf(14559,plain,
% 204.32/204.43 (~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(a116,x145591)),x145592)),x145592))),
% 204.32/204.43 inference(rename_variables,[],[13342])).
% 204.32/204.43 cnf(14570,plain,
% 204.32/204.43 (P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x145701),f192(f935(f934(a927,a927),a923)))),a72))),
% 204.32/204.43 inference(rename_variables,[],[4530])).
% 204.32/204.43 cnf(14580,plain,
% 204.32/204.43 (~E(f246(f935(x145801,a923)),f192(f935(x145801,a923)))),
% 204.32/204.43 inference(rename_variables,[],[4743])).
% 204.32/204.43 cnf(14591,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x145911,x145911)),x145912),f267(x145911,f192(f935(x145911,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14600,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x146001),f331(f331(f80(a927),x146002),x146001)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14603,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x146031),f928(x146031))),f331(f331(f256(f928(x146031),f928(x146031)),x146032),x146033)),f161(x146031,f157(x146031,f117(f935(x146031,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14606,plain,
% 204.32/204.43 (~E(f331(f331(f80(a1),x146061),x146061),f331(f331(f23(a1),f331(f331(f80(a1),x146062),x146062)),a101))),
% 204.32/204.43 inference(rename_variables,[],[4794])).
% 204.32/204.43 cnf(14616,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x146161),f928(x146161))),f331(f331(f256(f928(x146161),f928(x146161)),x146162),x146163)),f161(x146161,f157(x146161,f117(f935(x146161,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14621,plain,
% 204.32/204.43 (~P107(f331(f331(f67(f928(x146211),f928(x146211),f149(x146211,x146212)),x146213),f117(x146211)))),
% 204.32/204.43 inference(rename_variables,[],[11415])).
% 204.32/204.43 cnf(14624,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x146241),f78(a1))),x146241))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14627,plain,
% 204.32/204.43 (P107(f331(f331(f240(a1),f331(f331(f23(a1),x146271),f78(a1))),x146271))),
% 204.32/204.43 inference(rename_variables,[],[11108])).
% 204.32/204.43 cnf(14633,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x146331,x146331)),x146332),f157(x146331,f117(f935(x146331,a927)))))),
% 204.32/204.43 inference(rename_variables,[],[12495])).
% 204.32/204.43 cnf(14636,plain,
% 204.32/204.43 (~E(x146361,f331(f331(f155(x146362),x146363),x146361))),
% 204.32/204.43 inference(rename_variables,[],[11227])).
% 204.32/204.43 cnf(14639,plain,
% 204.32/204.43 (~P107(f331(f331(f259(x146391,x146392,a923,f331(f176(x146393),f117(x146393))),x146394),x146395))),
% 204.32/204.43 inference(rename_variables,[],[11554])).
% 204.32/204.43 cnf(14642,plain,
% 204.32/204.43 (E(f331(f79(f935(x146421,a923)),f331(f79(f935(x146421,a923)),x146422)),x146422)),
% 204.32/204.43 inference(rename_variables,[],[3687])).
% 204.32/204.43 cnf(14647,plain,
% 204.32/204.43 (P107(f331(f331(f333(f934(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923))),f331(f331(f256(f935(f934(a927,a927),a923),f935(f934(a927,a927),a923)),x146471),f192(f935(f934(a927,a927),a923)))),a72))),
% 204.32/204.43 inference(rename_variables,[],[4530])).
% 204.32/204.43 cnf(14652,plain,
% 204.32/204.43 (P35(x146521,x146522,x146523,f117(x146521),f173(x146522,f331(f193(f928(x146521)),f117(x146521)),x146524))),
% 204.32/204.43 inference(rename_variables,[],[12926])).
% 204.32/204.43 cnf(14659,plain,
% 204.32/204.43 (E(f331(f79(f935(x146591,a923)),f331(f79(f935(x146591,a923)),x146592)),x146592)),
% 204.32/204.43 inference(rename_variables,[],[3687])).
% 204.32/204.43 cnf(14668,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x146681),f928(x146681))),f331(f331(f256(f928(x146681),f928(x146681)),x146682),x146683)),f161(x146681,f157(x146681,f117(f935(x146681,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14680,plain,
% 204.32/204.43 (~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(a116,x146801)),x146802)),x146802))),
% 204.32/204.43 inference(rename_variables,[],[13342])).
% 204.32/204.43 cnf(14699,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x146991,a923)),x146992),f331(f331(f114(f935(x146991,a923)),x146993),x146992)))),
% 204.32/204.43 inference(rename_variables,[],[4150])).
% 204.32/204.43 cnf(14702,plain,
% 204.32/204.43 (E(f331(f79(f935(x147021,a923)),f331(f79(f935(x147021,a923)),x147022)),x147022)),
% 204.32/204.43 inference(rename_variables,[],[3687])).
% 204.32/204.43 cnf(14729,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x147291,x147292)),x147293),f331(f314(f934(x147294,x147294),f934(x147291,x147292),f262(x147294,x147291,x147294,x147292,x147295,x147296)),f157(x147294,f117(f935(x147294,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14738,plain,
% 204.32/204.43 (~P107(f331(f331(f240(a927),f331(f255(x147381,x147382),f331(f331(f256(x147381,x147382),x147383),f162(x147384,x147385)))),x147383))),
% 204.32/204.43 inference(rename_variables,[],[12605])).
% 204.32/204.43 cnf(14751,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x147511,a923)),f331(f331(f23(f935(x147511,a923)),x147512),x147513)),x147512))),
% 204.32/204.43 inference(rename_variables,[],[4276])).
% 204.32/204.43 cnf(14754,plain,
% 204.32/204.43 (P107(f331(f331(f239(f935(x147541,a923)),x147542),f331(f331(f114(f935(x147541,a923)),x147543),f246(f935(x147541,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11547])).
% 204.32/204.43 cnf(14757,plain,
% 204.32/204.43 (~P107(f331(f331(f239(a927),f331(f331(f80(a927),f331(a116,x147571)),x147572)),x147572))),
% 204.32/204.43 inference(rename_variables,[],[13342])).
% 204.32/204.43 cnf(14771,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x147711,x147711)),x147712),f267(x147711,f192(f935(x147711,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14774,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x147741,x147742)),x147743),f331(f314(f934(x147744,x147744),f934(x147741,x147742),f262(x147744,x147741,x147744,x147742,x147745,x147746)),f157(x147744,f117(f935(x147744,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14777,plain,
% 204.32/204.43 (E(f331(x147771,f331(f92(x147772,x147773,f246(f935(x147772,a923)),x147771),f331(x147771,x147774))),f331(x147771,x147774))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14790,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x147901),f928(x147901))),f331(f331(f256(f928(x147901),f928(x147901)),x147902),x147903)),f161(x147901,f157(x147901,f117(f935(x147901,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14793,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x147931,x147932)),x147933),f331(f314(f934(x147934,x147934),f934(x147931,x147932),f262(x147934,x147931,x147934,x147932,x147935,x147936)),f157(x147934,f117(f935(x147934,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14809,plain,
% 204.32/204.43 (E(f331(x148091,f331(f92(x148092,x148093,f246(f935(x148092,a923)),x148091),f331(x148091,x148094))),f331(x148091,x148094))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14821,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x148211),f331(f331(f80(a927),x148212),x148211)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14826,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x148261),f331(f331(f80(a927),x148262),x148261)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14843,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x148431),f928(x148431))),f331(f331(f256(f928(x148431),f928(x148431)),x148432),x148433)),f161(x148431,f157(x148431,f117(f935(x148431,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14846,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x148461,x148461)),x148462),f267(x148461,f192(f935(x148461,a923)))))),
% 204.32/204.43 inference(rename_variables,[],[11295])).
% 204.32/204.43 cnf(14851,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(x148511,x148512)),x148513),f331(f314(f934(x148514,x148514),f934(x148511,x148512),f262(x148514,x148511,x148514,x148512,x148515,x148516)),f157(x148514,f117(f935(x148514,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11730])).
% 204.32/204.43 cnf(14872,plain,
% 204.32/204.43 (~P107(f331(f331(f333(f934(f928(x148721),f928(x148721))),f331(f331(f256(f928(x148721),f928(x148721)),x148722),x148723)),f161(x148721,f157(x148721,f117(f935(x148721,a927))))))),
% 204.32/204.43 inference(rename_variables,[],[11690])).
% 204.32/204.43 cnf(14888,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x148881),f331(f331(f80(a927),x148882),x148881)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14899,plain,
% 204.32/204.43 (P35(x148991,x148992,x148993,f117(x148991),f173(x148992,f331(f193(f928(x148991)),f117(x148991)),x148994))),
% 204.32/204.43 inference(rename_variables,[],[12926])).
% 204.32/204.43 cnf(14924,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x149241),f331(f331(f80(a927),x149242),x149241)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(14934,plain,
% 204.32/204.43 (E(f331(x149341,f331(f92(x149342,x149343,f246(f935(x149342,a923)),x149341),f331(x149341,x149344))),f331(x149341,x149344))),
% 204.32/204.43 inference(rename_variables,[],[11441])).
% 204.32/204.43 cnf(14937,plain,
% 204.32/204.43 (P107(f331(f331(f239(a927),x149371),f331(f331(f80(a927),x149372),x149371)))),
% 204.32/204.43 inference(rename_variables,[],[3823])).
% 204.32/204.43 cnf(15021,plain,
% 204.32/204.43 (P107(f331(f331(f333(f934(x150211,x150211)),f331(f331(f256(x150211,x150211),x150212),x150212)),f331(f331(f293(x150211,x150211,x150211),f311(x150211,x150213)),f311(x150211,f311(x150211,x150213)))))),
% 204.32/204.43 inference(rename_variables,[],[12880])).
% 204.32/204.43 cnf(15040,plain,
% 204.32/204.43 ($false),
% 204.32/204.43 inference(scs_inference,[],[4113,4066,3687,14036,14324,14413,14642,14659,14702,4530,14570,14647,3823,14211,14251,14600,14821,14826,14888,14924,14937,3798,3467,14313,4253,14073,4165,4743,14295,14580,4771,4105,4106,4170,4276,14148,14244,14265,14380,14751,3653,3563,4183,4150,14227,14435,14487,14699,4560,4768,10803,14476,11550,12786,13008,11565,13415,12875,11473,11415,13991,14549,14621,13623,14224,14343,14358,11526,11668,12296,11537,14521,11585,14355,14366,11592,11713,10639,12926,14652,14899,10861,11227,14531,14636,12880,15021,10740,13457,11307,11905,11908,14321,11693,14416,11441,13867,13878,13905,13927,13933,13963,14047,14238,14241,14524,14777,14809,14934,13681,12916,10882,12934,14058,11690,14053,14090,14369,14465,14534,14603,14616,14668,14790,14843,14872,11730,13936,13939,13942,13948,13951,13954,14044,14070,14196,14316,14395,14543,14546,14729,14774,14793,14851,11652,13857,13924,13945,13957,11715,10904,11598,14235,11032,13434,11052,13586,11583,13354,11295,13960,14029,14050,14063,14203,14305,14408,14591,14771,14846,12495,13977,14633,11282,11298,11238,11554,14078,14093,14118,14178,14206,14332,14484,14639,12388,11448,11571,14084,14300,14383,11393,11614,11277,11616,14214,14350,11547,14754,12841,11279,11577,13988,14335,13037,13777,10747,11233,11035,13731,13230,12317,13711,12654,13985,13375,13703,11733,13870,13873,14153,14173,11619,14496,10923,12567,14327,12676,12912,13894,13161,10548,13759,14462,12605,14738,12171,12250,13342,14559,14680,14757,11579,11047,11150,12436,14141,12096,11108,14026,14041,14138,14230,14470,14624,14627,12232,11891,13747,11065,11456,10954,12709,12282,13146,11017,13819,11230,13886,13889,11503,11913,10694,12561,10846,10635,13679,10942,13105,12063,12581,12236,13391,13617,12477,10689,3194,3618,14473,3555,4053,3768,4794,14606,3926,4470,3504,4808,4262,3872,4006,4853,5004,5681,5778,5779,5945,6003,6012,6245,6246,6249,6293,6321,6344,6494,6723,6753,6792,7079,7134,7562,8162,8213,8214,8215,8967,9135,9260,4837,5288,5473,5474,5649,6989,7321,7322,7823,9070,9071,9087,9088,9675,5372,9485,5587,6620,7026,6335,9069,8027,6741,9342,9566,7000,5924,6623,7122,8884,9072,7945,5171,6437,5500,6536,7030,8786,9278,9870,7897,8815,6678,9975,7619,5611,5308,5440,5754,9046,4894,9887,10436,6333,8724,8870,9068,5786,5844,9794,7207,5783,6164,6615,6569,5555,8725,5142,8791,5469,9590,5543,7643,5417,7442,7957,8766,9867,5141,6049,5984,6013,7158,6026,8648,7202,6388,5561,5230,5991,5022,8887,5405,5939,9868,5466,5656,6315,8279,9680,6428,7413,5903,5690,6165,8863,5728,5492,6387,5358,5556,6980,9156,4952,8563,9986,6188,9869,7007,6497,4950,6616,7044,8621,9095,5995,9773,10220,4895,4896,6358,6700,9013,6360,5892,5931,6621,7748,8980,9511,7995,8841,5997,9562,5937,5989,7621,5760,6443,6633,6518,5455,8857,5560,6160,6565,7573,10434,8792,6487,5592,6999,6105,5157,5307,5581,5983,8623,10040,7598,5800,5820,8564,5644,8767,9727,9922,9930,6393,6006,10241,10045,4943,5544,5938,8625,6568,7354,7669,8942,7070,9618,5732,6773,5208,6337,8201,7697,4988,10209,5704,7157,7195,8793,9005,5591,9067,8904,5987,6627,5814,9311,5470,6227,8794,5573,5999,4900,6534,6734,10435,5092,6064,8297,8876,10338,5891,6787,8497,6177,7269,7439,6166,9168,5497,7237,9006,9379,5274,6978,5476,5606,6566,9726,8715,6172,6771,8923,8727,6624,8861,5813,10246,5801,6949,6977,5115,6168,9107,5605,8652,5109,6215,8700,8914,6167,5493,5559,6270,6392,7682,7707,10221,9,5942,8086,6577,10437,5300,6571,6722,7793,9501,6338,5207,5832,5858,8296,9351,4944,6052,6543,6720,8702,8454,8852,6020,7746,8313,6212,7027,7792,9725,5664,6386,10029,9892,6481,7056,9211,8025,6028,6447,7022,6314,9585,8295,4815,5596,8813,5654,8111,6077,6339,5928,5292,6509,7751,9096,8728,9858,6390,7587,5359,6001,5425,5530,7133,7811,8234,9380,6483,5426,5848,6427,7879,9057,9987,8726,6009,6185,5468,5830,8581,9685,9500,10076,5302,5660,6626,9974,8905,5782,4948,6071,10208,5475,6499,7135,5657,6363,4993,9326,10113,6139,9484,6515,8729,10167,10031,8825,6625,5571,5860,6048,8814,6582,6699,9023,8689,9309,6042,6063,7028,8037,9022,7597,5231,7430,6126,5553,9591,8859,5483,5624,6501,7057,8075,9200,7502,6256,7019,7571,9490,5802,4898,7596,5705,6905,10117,4994,5233,9002,9688,6619,9343,9923,5458,6151,8959,9558,6979,5028,5418,5593,6354,7257,5950,6829,5720,6434,7615,8785,9166,8388,7679,8170,8314,5369,6364,6784,9198,9451,9929,4841,8377,5232,8667,9502,4928]),
% 204.32/204.43 ['proof']).
% 204.48/204.43 % SZS output end Proof
% 204.48/204.43 % Total time :189.460000s
%------------------------------------------------------------------------------