TSTP Solution File: SCT126+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 : Thu Aug 31 14:10:13 EDT 2023
% Result : Theorem 1.00s 1.28s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 15:42:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 1.00/1.23 %-------------------------------------------
% 1.00/1.23 % File :CSE---1.6
% 1.00/1.23 % Problem :theBenchmark
% 1.00/1.23 % Transform :cnf
% 1.00/1.23 % Format :tptp:raw
% 1.00/1.23 % Command :java -jar mcs_scs.jar %d %s
% 1.00/1.23
% 1.00/1.23 % Result :Theorem 0.160000s
% 1.00/1.23 % Output :CNFRefutation 0.160000s
% 1.00/1.23 %-------------------------------------------
% 1.00/1.23 %------------------------------------------------------------------------------
% 1.00/1.23 % File : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 1.00/1.23 % Domain : Social Choice Theory
% 1.00/1.23 % Problem : Arrow's Impossibility Theorem 433102, 500 axioms selected
% 1.00/1.23 % Version : Especial.
% 1.00/1.23 % English :
% 1.00/1.23
% 1.00/1.23 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.00/1.23 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 1.00/1.23 % Source : [Bla11]
% 1.00/1.23 % Names : arrow_433102.500.p [Bla11]
% 1.00/1.23
% 1.00/1.23 % Status : Theorem
% 1.00/1.23 % Rating : 0.28 v8.1.0, 0.33 v7.5.0, 0.41 v7.4.0, 0.37 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.35 v7.0.0, 0.37 v6.4.0, 0.42 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.50 v6.0.0, 0.43 v5.5.0, 0.63 v5.4.0, 0.68 v5.3.0, 0.67 v5.2.0
% 1.00/1.23 % Syntax : Number of formulae : 525 ( 131 unt; 0 def)
% 1.00/1.23 % Number of atoms : 1288 ( 349 equ)
% 1.00/1.23 % Maximal formula atoms : 12 ( 2 avg)
% 1.00/1.23 % Number of connectives : 898 ( 135 ~; 22 |; 50 &)
% 1.00/1.23 % ( 101 <=>; 590 =>; 0 <=; 0 <~>)
% 1.00/1.23 % Maximal formula depth : 19 ( 7 avg)
% 1.00/1.23 % Maximal term depth : 13 ( 2 avg)
% 1.00/1.23 % Number of predicates : 32 ( 31 usr; 0 prp; 1-6 aty)
% 1.00/1.23 % Number of functors : 65 ( 65 usr; 17 con; 0-6 aty)
% 1.00/1.23 % Number of variables : 2091 (2074 !; 17 ?)
% 1.00/1.23 % SPC : FOF_THM_RFO_SEQ
% 1.00/1.23
% 1.00/1.23 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 1.00/1.23 % 2011-03-01 11:14:28
% 1.00/1.23 % : Renamed from SWW128+1
% 1.00/1.23 %------------------------------------------------------------------------------
% 1.00/1.24 %----Relevant facts (494)
% 1.00/1.24 fof(fact_ext,axiom,
% 1.00/1.24 ! [V_g_2,V_f_2] :
% 1.00/1.24 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 1.00/1.24 => V_f_2 = V_g_2 ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_assms_I3_J,axiom,
% 1.00/1.24 c_Arrow__Order__Mirabelle_OIIA(v_F) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_u,axiom,
% 1.00/1.24 c_Arrow__Order__Mirabelle_Ounanimity(v_F) ).
% 1.00/1.24
% 1.00/1.24 fof(fact__096Q_A_058_AProf_096,axiom,
% 1.00/1.24 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_mkbot__Lin,axiom,
% 1.00/1.24 ! [V_x_2,V_L_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_x_2)),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_mktop__Lin,axiom,
% 1.00/1.24 ! [V_x_2,V_L_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_x_2)),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_equalityCE,axiom,
% 1.00/1.24 ! [V_c_2,T_a,V_B_2,V_A_2] :
% 1.00/1.24 ( V_A_2 = V_B_2
% 1.00/1.24 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.24 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) )
% 1.00/1.24 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_above__Lin,axiom,
% 1.00/1.24 ! [V_L_2,V_y_2,V_x_2] :
% 1.00/1.24 ( V_x_2 != V_y_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,V_L_2),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_OLin)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_below__Lin,axiom,
% 1.00/1.24 ! [V_L_2,V_y_2,V_x_2] :
% 1.00/1.24 ( V_x_2 != V_y_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_x_2,V_y_2)),c_Arrow__Order__Mirabelle_OLin)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_d1_I2_J,axiom,
% 1.00/1.24 v_a_H____ != v_b_H____ ).
% 1.00/1.24
% 1.00/1.24 fof(fact_linear__alt,axiom,
% 1.00/1.24 ? [B_L] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_L),c_Arrow__Order__Mirabelle_OLin)) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_mem__def,axiom,
% 1.00/1.24 ! [V_A_2,V_x_2,T_a] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.24 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact__096P_H_A_058_AProf_096,axiom,
% 1.00/1.24 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_d2_I2_J,axiom,
% 1.00/1.24 v_b____ != v_a_H____ ).
% 1.00/1.24
% 1.00/1.24 fof(fact_d2_I1_J,axiom,
% 1.00/1.24 v_a____ != v_b_H____ ).
% 1.00/1.24
% 1.00/1.24 fof(fact__096P_A_058_AProf_096,axiom,
% 1.00/1.24 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_eq__mem__trans,axiom,
% 1.00/1.24 ! [V_A_2,T_a,V_ba_2,V_aa_2] :
% 1.00/1.24 ( V_aa_2 = V_ba_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),V_A_2))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_eqelem__imp__iff,axiom,
% 1.00/1.24 ! [V_A_2,T_a,V_y_2,V_x_2] :
% 1.00/1.24 ( V_x_2 = V_y_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.24 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_eqset__imp__iff,axiom,
% 1.00/1.24 ! [V_x_2,T_a,V_B_2,V_A_2] :
% 1.00/1.24 ( V_A_2 = V_B_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.24 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_dictator__def,axiom,
% 1.00/1.24 ! [V_i_2,V_Fa_2] :
% 1.00/1.24 ( c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)
% 1.00/1.24 <=> ! [B_x] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))
% 1.00/1.24 => hAPP(V_Fa_2,B_x) = hAPP(B_x,V_i_2) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_in__below,axiom,
% 1.00/1.24 ! [V_y_2,V_x_2,V_L_2,V_ba_2,V_aa_2] :
% 1.00/1.24 ( V_aa_2 != V_ba_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))
% 1.00/1.24 <=> ( V_x_2 != V_y_2
% 1.00/1.24 & ( V_y_2 = V_aa_2
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2)) )
% 1.00/1.24 & ( V_y_2 != V_aa_2
% 1.00/1.24 => ( ( V_x_2 = V_aa_2
% 1.00/1.24 => ( V_y_2 = V_ba_2
% 1.00/1.24 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2)) ) )
% 1.00/1.24 & ( V_x_2 != V_aa_2
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)) ) ) ) ) ) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_in__above,axiom,
% 1.00/1.24 ! [V_y_2,V_x_2,V_L_2,V_ba_2,V_aa_2] :
% 1.00/1.24 ( V_aa_2 != V_ba_2
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,V_L_2),V_aa_2),V_ba_2)))
% 1.00/1.24 <=> ( V_x_2 != V_y_2
% 1.00/1.24 & ( V_x_2 = V_ba_2
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2)) )
% 1.00/1.24 & ( V_x_2 != V_ba_2
% 1.00/1.24 => ( ( V_y_2 = V_ba_2
% 1.00/1.24 => ( V_x_2 = V_aa_2
% 1.00/1.24 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2)) ) )
% 1.00/1.24 & ( V_y_2 != V_ba_2
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)) ) ) ) ) ) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_Q__def,axiom,
% 1.00/1.24 ! [V_i_2] : hAPP(v_Q____,V_i_2) = c_HOL_OLet(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(hAPP(c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(hAPP(c_fequal,v_a____),v_a_H____)),hAPP(v_P____,V_i_2)),c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____,V_i_2),v_a_H____,v_a____)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(hAPP(c_fequal,v_b____),v_b_H____))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_Arrow__Order__Mirabelle_Oabove),v_b____)),v_b_H____))) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_assms_I1_J,axiom,
% 1.00/1.24 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_eq__mem,axiom,
% 1.00/1.24 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))
% 1.00/1.24 <=> V_x_2 = V_y_2 ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_converse__in__Lin,axiom,
% 1.00/1.24 ! [V_L_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_L_2)),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_Lin__irrefl,axiom,
% 1.00/1.24 ! [V_ba_2,V_aa_2,V_L_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),V_L_2))
% 1.00/1.24 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),V_L_2)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_notin__Lin__iff,axiom,
% 1.00/1.24 ! [V_y_2,V_x_2,V_L_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => ( V_x_2 != V_y_2
% 1.00/1.24 => ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2))
% 1.00/1.24 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_y_2),V_x_2)),V_L_2)) ) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_const__Lin__Prof,axiom,
% 1.00/1.24 ! [V_L_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,V_L_2)),c_Arrow__Order__Mirabelle_OProf)) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact__C1_C,axiom,
% 1.00/1.24 ! [B_i] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,B_i)))
% 1.00/1.24 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a_H____),v_b_H____)),hAPP(v_P_H____,B_i))) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_d1_I1_J,axiom,
% 1.00/1.24 v_a____ != v_b____ ).
% 1.00/1.24
% 1.00/1.24 fof(fact__096a_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_096,axiom,
% 1.00/1.24 hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____))) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_pred__equals__eq2,axiom,
% 1.00/1.24 ! [V_S_2,V_R_2,T_b,T_a] :
% 1.00/1.24 ( 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(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(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,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(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(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,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)
% 1.00/1.24 <=> V_R_2 = V_S_2 ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_pred__equals__eq,axiom,
% 1.00/1.24 ! [V_S_2,V_R_2,T_a] :
% 1.00/1.24 ( 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)
% 1.00/1.24 <=> V_R_2 = V_S_2 ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_in__mktop,axiom,
% 1.00/1.24 ! [V_z_2,V_L_2,V_y_2,V_x_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))
% 1.00/1.24 <=> ( V_x_2 != V_z_2
% 1.00/1.24 & ( V_y_2 = V_z_2
% 1.00/1.24 => V_x_2 != V_y_2 )
% 1.00/1.24 & ( V_y_2 != V_z_2
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)) ) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_in__mkbot,axiom,
% 1.00/1.24 ! [V_z_2,V_L_2,V_y_2,V_x_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))
% 1.00/1.24 <=> ( V_y_2 != V_z_2
% 1.00/1.24 & ( V_x_2 = V_z_2
% 1.00/1.24 => V_x_2 != V_y_2 )
% 1.00/1.24 & ( V_x_2 != V_z_2
% 1.00/1.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)) ) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_PiE,axiom,
% 1.00/1.24 ! [V_x_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))
% 1.00/1.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2)))
% 1.00/1.24 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 1.00/1.24
% 1.00/1.24 fof(fact_dictatorI,axiom,
% 1.00/1.24 ! [V_i_2,V_Fa_2] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_Fa_2),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
% 1.00/1.24 => ( ! [B_x] :
% 1.00/1.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))
% 1.00/1.24 => ! [B_a,B_b] :
% 1.00/1.24 ( B_a != B_b
% 1.00/1.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,V_i_2)))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x))) ) ) )
% 1.00/1.25 => c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_funcset__mem,axiom,
% 1.00/1.25 ! [V_x_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_B_2)) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Pi__mem,axiom,
% 1.00/1.25 ! [V_x_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converse__iff,axiom,
% 1.00/1.25 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),c_Relation_Oconverse(T_b,T_a,V_r_2)))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_ba_2),V_aa_2)),V_r_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converseI,axiom,
% 1.00/1.25 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_ba_2),V_aa_2)),c_Relation_Oconverse(T_a,T_b,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converseD,axiom,
% 1.00/1.25 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),c_Relation_Oconverse(T_b,T_a,V_r_2)))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_ba_2),V_aa_2)),V_r_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_funcset__id,axiom,
% 1.00/1.25 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_a)),c_COMBI(T_a)),c_FuncSet_OPi(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_IIA__def,axiom,
% 1.00/1.25 ! [V_Fa_2] :
% 1.00/1.25 ( c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)
% 1.00/1.25 <=> ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))
% 1.00/1.25 => ! [B_xa] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_xa),c_Arrow__Order__Mirabelle_OProf))
% 1.00/1.25 => ! [B_a,B_b] :
% 1.00/1.25 ( ! [B_i] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,B_i)))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,B_i))) )
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_xa))) ) ) ) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_unanimity__def,axiom,
% 1.00/1.25 ! [V_Fa_2] :
% 1.00/1.25 ( c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)
% 1.00/1.25 <=> ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))
% 1.00/1.25 => ! [B_a,B_b] :
% 1.00/1.25 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,B_i)))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x))) ) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converse__converse,axiom,
% 1.00/1.25 ! [V_r_2,T_a,T_b] : c_Relation_Oconverse(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2)) = V_r_2 ).
% 1.00/1.25
% 1.00/1.25 fof(fact_irrefl__def,axiom,
% 1.00/1.25 ! [V_r_2,T_a] :
% 1.00/1.25 ( c_Relation_Oirrefl(T_a,V_r_2)
% 1.00/1.25 <=> ! [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)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Pi__I,axiom,
% 1.00/1.25 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.25 ( ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x))) )
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_in__rel__def,axiom,
% 1.00/1.25 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] :
% 1.00/1.25 ( c_FunDef_Oin__rel(T_a,T_b,V_R_2,V_x_2,V_y_2)
% 1.00/1.25 <=> 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)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converseE,axiom,
% 1.00/1.25 ! [V_r_2,V_yx_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),c_Relation_Oconverse(T_b,T_a,V_r_2)))
% 1.00/1.25 => ~ ! [B_x,B_y] :
% 1.00/1.25 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x)
% 1.00/1.25 => ~ 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)) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_same__fstI,axiom,
% 1.00/1.25 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_Pa_2] :
% 1.00/1.25 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 1.00/1.25 => ( 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)))
% 1.00/1.25 => 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))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_RangeI,axiom,
% 1.00/1.25 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Relation_ORange(T_a,T_b,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_complete__Lin,axiom,
% 1.00/1.25 ! [V_ba_2,V_aa_2] :
% 1.00/1.25 ( V_aa_2 != V_ba_2
% 1.00/1.25 => ? [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.25 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),B_x)) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Id__on__eqI,axiom,
% 1.00/1.25 ! [V_A_2,T_a,V_ba_2,V_aa_2] :
% 1.00/1.25 ( V_aa_2 = V_ba_2
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Id__on__iff,axiom,
% 1.00/1.25 ! [V_A_2,V_y_2,V_x_2,T_a] :
% 1.00/1.25 ( 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)))
% 1.00/1.25 <=> ( V_x_2 = V_y_2
% 1.00/1.25 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Range__Id__on,axiom,
% 1.00/1.25 ! [V_A_2,T_a] : c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converse__Id__on,axiom,
% 1.00/1.25 ! [V_A_2,T_a] : 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) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Range__iff,axiom,
% 1.00/1.25 ! [V_r_2,T_b,V_aa_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ORange(T_b,T_a,V_r_2)))
% 1.00/1.25 <=> ? [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_aa_2)),V_r_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_RangeP__Range__eq,axiom,
% 1.00/1.25 ! [V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( 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(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(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,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)
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Relation_ORange(T_a,T_b,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_in__lex__prod,axiom,
% 1.00/1.25 ! [V_s_2,V_r_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.25 ( 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_aa_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_Ha_2),V_b_Ha_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))
% 1.00/1.25 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_a_Ha_2)),V_r_2))
% 1.00/1.25 | ( V_aa_2 = V_a_Ha_2
% 1.00/1.25 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_b_Ha_2)),V_s_2)) ) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Id__onE,axiom,
% 1.00/1.25 ! [V_A_2,V_c_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_c_2),c_Relation_OId__on(T_a,V_A_2)))
% 1.00/1.25 => ~ ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.25 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_RangeE,axiom,
% 1.00/1.25 ! [V_r_2,T_b,V_ba_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Relation_ORange(T_b,T_a,V_r_2)))
% 1.00/1.25 => ~ ! [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_ba_2)),V_r_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_funcsetI,axiom,
% 1.00/1.25 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.25 ( ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),V_B_2)) )
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_DomainI,axiom,
% 1.00/1.25 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep__converse__eq,axiom,
% 1.00/1.25 ! [V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( 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(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(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,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))
% 1.00/1.25 <=> 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)),c_Relation_Oconverse(T_a,T_b,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Nitpick_Orefl_H__def,axiom,
% 1.00/1.25 ! [V_r_2,T_a] :
% 1.00/1.25 ( c_Nitpick_Orefl_H(T_a,V_r_2)
% 1.00/1.25 <=> ! [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)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Pi__I_H,axiom,
% 1.00/1.25 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.25 ( ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x))) )
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_RangeP_Ointros,axiom,
% 1.00/1.25 ! [T_b,T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.25 => c_Predicate_ORangeP(T_a,T_b,V_r_2,V_ba_2) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_RangeP_Oequations,axiom,
% 1.00/1.25 ! [V_a2_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( c_Predicate_ORangeP(T_a,T_b,V_r_2,V_a2_2)
% 1.00/1.25 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversepD,axiom,
% 1.00/1.25 ! [V_ba_2,V_aa_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_aa_2),V_ba_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_aa_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep_Ointros,axiom,
% 1.00/1.25 ! [T_b,T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_ba_2),V_aa_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep_Oequations,axiom,
% 1.00/1.25 ! [V_a1_2,V_a2_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a2_2),V_a1_2))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep__iff,axiom,
% 1.00/1.25 ! [V_ba_2,V_aa_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_aa_2),V_ba_2))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_aa_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep__conversep,axiom,
% 1.00/1.25 ! [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 ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep__eq,axiom,
% 1.00/1.25 ! [T_a] : c_Predicate_Oconversep(T_a,T_a,c_fequal) = c_fequal ).
% 1.00/1.25
% 1.00/1.25 fof(fact_conversep__noteq,axiom,
% 1.00/1.25 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_a,hAPP(c_COMBB(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,c_fNot)),c_fequal)),V_x_2),V_y_2))
% 1.00/1.25 <=> V_x_2 != V_y_2 ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Domain__Id__on,axiom,
% 1.00/1.25 ! [V_A_2,T_a] : c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Range__def,axiom,
% 1.00/1.25 ! [V_r_2,T_a,T_b] : c_Relation_ORange(T_b,T_a,V_r_2) = c_Relation_ODomain(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_r_2)) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Domain__converse,axiom,
% 1.00/1.25 ! [V_r_2,T_b,T_a] : c_Relation_ODomain(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_r_2)) = c_Relation_ORange(T_b,T_a,V_r_2) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Range__converse,axiom,
% 1.00/1.25 ! [V_r_2,T_a,T_b] : c_Relation_ORange(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2)) = c_Relation_ODomain(T_a,T_b,V_r_2) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Domain__iff,axiom,
% 1.00/1.25 ! [V_r_2,T_b,V_aa_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2)))
% 1.00/1.25 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),B_y)),V_r_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_DomainP__Domain__eq,axiom,
% 1.00/1.25 ! [V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.25 ( 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(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(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,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)
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_b,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_DomainE,axiom,
% 1.00/1.25 ! [V_r_2,T_b,V_aa_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2)))
% 1.00/1.25 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),B_y)),V_r_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_Pi__cong,axiom,
% 1.00/1.25 ! [V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a] :
% 1.00/1.25 ( ! [B_w] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_w),V_A_2))
% 1.00/1.25 => hAPP(V_f_2,B_w) = hAPP(V_g_2,B_w) )
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_compose__assoc,axiom,
% 1.00/1.25 ! [V_D_2,V_h_2,T_d,V_C_2,V_g_2,T_c,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,T_d)),V_h_2),c_FuncSet_OPi(T_c,T_d,V_C_2,c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c,V_D_2))))
% 1.00/1.25 => c_FuncSet_Ocompose(T_a,T_c,T_d,V_A_2,V_h_2,c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2)) = c_FuncSet_Ocompose(T_a,T_b,T_d,V_A_2,c_FuncSet_Ocompose(T_b,T_c,T_d,V_B_2,V_h_2,V_g_2),V_f_2) ) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_funcset__compose,axiom,
% 1.00/1.25 ! [V_C_2,V_g_2,T_c,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_c)),c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2)),c_FuncSet_OPi(T_a,T_c,V_A_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a,V_C_2)))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_acc__downward,axiom,
% 1.00/1.25 ! [V_aa_2,V_r_2,V_ba_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 1.00/1.25 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_acc_Osimps,axiom,
% 1.00/1.25 ! [V_r_2,V_aa_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 1.00/1.25 <=> ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_aa_2)),V_r_2))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_total__on__def,axiom,
% 1.00/1.25 ! [V_r_2,V_A_2,T_a] :
% 1.00/1.25 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)
% 1.00/1.25 <=> ! [B_x] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.25 => ! [B_xa] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 1.00/1.25 => ( B_x != B_xa
% 1.00/1.25 => ( 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))
% 1.00/1.25 | 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)) ) ) ) ) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_in__inv__image,axiom,
% 1.00/1.25 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] :
% 1.00/1.25 ( 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_Oinv__image(T_b,T_a,V_r_2,V_f_2)))
% 1.00/1.25 <=> 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)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_DomainP_Ointros,axiom,
% 1.00/1.25 ! [T_b,T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.25 => c_Predicate_ODomainP(T_a,T_b,V_r_2,V_aa_2) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_compose__eq,axiom,
% 1.00/1.25 ! [V_f_2,V_g_2,T_b,T_c,V_A_2,V_x_2,T_a] :
% 1.00/1.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.25 => hAPP(c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_g_2,V_f_2),V_x_2) = hAPP(V_g_2,hAPP(V_f_2,V_x_2)) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_converse__inv__image,axiom,
% 1.00/1.25 ! [V_f_2,V_R_2,T_b,T_a] : c_Relation_Oconverse(T_a,T_a,c_Relation_Oinv__image(T_b,T_a,V_R_2,V_f_2)) = c_Relation_Oinv__image(T_b,T_a,c_Relation_Oconverse(T_b,T_b,V_R_2),V_f_2) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_total__on__converse,axiom,
% 1.00/1.25 ! [V_r_2,V_A_2,T_a] :
% 1.00/1.25 ( c_Relation_Ototal__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))
% 1.00/1.25 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_accp__acc__eq,axiom,
% 1.00/1.25 ! [V_x_2,V_r_2,T_a] :
% 1.00/1.25 ( 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(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(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,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))
% 1.00/1.25 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_acc_OaccI,axiom,
% 1.00/1.25 ! [V_r_2,V_x_2,T_a] :
% 1.00/1.25 ( ! [B_y] :
% 1.00/1.25 ( 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))
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) )
% 1.00/1.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 1.00/1.25
% 1.00/1.25 fof(fact_not__acc__down,axiom,
% 1.00/1.25 ! [V_R_2,V_x_2,T_a] :
% 1.00/1.25 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))
% 1.00/1.26 => ~ ! [B_z] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_compose__extensional,axiom,
% 1.00/1.26 ! [V_g_2,V_f_2,V_A_2,T_c,T_b,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_f_2,V_g_2)),c_FuncSet_Oextensional(T_a,T_b,V_A_2))) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_acc__downwards,axiom,
% 1.00/1.26 ! [V_ba_2,V_r_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_aa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_acc__downwards__aux,axiom,
% 1.00/1.26 ! [V_r_2,V_aa_2,V_ba_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_aa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_refl__onD,axiom,
% 1.00/1.26 ! [V_aa_2,V_r_2,V_A_2,T_a] :
% 1.00/1.26 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_aa_2)),V_r_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_refl__onD1,axiom,
% 1.00/1.26 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.26 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.26 => ( 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))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_accp__downward,axiom,
% 1.00/1.26 ! [V_aa_2,V_ba_2,V_r_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_ba_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.26 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_accp_Oequations,axiom,
% 1.00/1.26 ! [V_aa_2,V_r_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))
% 1.00/1.26 <=> ! [B_x] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))
% 1.00/1.26 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_accp_Osimps,axiom,
% 1.00/1.26 ! [V_aa_2,V_r_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))
% 1.00/1.26 <=> ! [B_x] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))
% 1.00/1.26 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_refl__on__converse,axiom,
% 1.00/1.26 ! [V_r_2,V_A_2,T_a] :
% 1.00/1.26 ( c_Relation_Orefl__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))
% 1.00/1.26 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_refl__on__Id__on,axiom,
% 1.00/1.26 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_refl__onD2,axiom,
% 1.00/1.26 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.26 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.26 => ( 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))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 1.00/1.26 ! [V_r_2,V_aa_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_aa_2),V_aa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_r__into__rtrancl,axiom,
% 1.00/1.26 ! [V_r_2,V_p_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Not__Domain__rtrancl,axiom,
% 1.00/1.26 ! [V_y_2,V_R_2,V_x_2,T_a] :
% 1.00/1.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_a,V_R_2)))
% 1.00/1.26 => ( 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_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.26 <=> V_x_2 = V_y_2 ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__converseD,axiom,
% 1.00/1.26 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))))
% 1.00/1.26 => 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_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__converseI,axiom,
% 1.00/1.26 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 1.00/1.26 ( 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_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => 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_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__trans,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),V_r_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__idemp,axiom,
% 1.00/1.26 ! [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) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__converse,axiom,
% 1.00/1.26 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)) = c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_compose__Id,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_g_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.26 => c_FuncSet_Ocompose(T_a,T_a,T_b,V_A_2,V_g_2,c_FuncSet_Orestrict(T_a,T_a,c_COMBI(T_a),V_A_2)) = V_g_2 ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Id__compose,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.26 => c_FuncSet_Ocompose(T_a,T_b,T_b,V_A_2,c_FuncSet_Orestrict(T_b,T_b,c_COMBI(T_b),V_B_2),V_f_2) = V_f_2 ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_single__valued__confluent,axiom,
% 1.00/1.26 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 1.00/1.26 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2)
% 1.00/1.26 => ( 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_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( 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_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( 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)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 | 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))) ) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__induct2,axiom,
% 1.00/1.26 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a] :
% 1.00/1.26 ( 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_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)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 1.00/1.26 => ( ! [B_a,B_b] :
% 1.00/1.26 ( 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_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)))
% 1.00/1.26 => ! [B_aa,B_ba] :
% 1.00/1.26 ( 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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 1.00/1.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 1.00/1.26 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__rtrancl__induct2,axiom,
% 1.00/1.26 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a] :
% 1.00/1.26 ( 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_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)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 1.00/1.26 => ( ! [B_a,B_b,B_aa,B_ba] :
% 1.00/1.26 ( 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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))
% 1.00/1.26 => ( 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),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)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 1.00/1.26 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 1.00/1.26 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__rtranclE2,axiom,
% 1.00/1.26 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a] :
% 1.00/1.26 ( 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_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)))
% 1.00/1.26 => ( 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)
% 1.00/1.26 => ~ ! [B_a,B_b] :
% 1.00/1.26 ( 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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),V_r_2))
% 1.00/1.26 => ~ 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),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))) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_extensional__arb,axiom,
% 1.00/1.26 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.26 => hAPP(V_f_2,V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_restrict__apply,axiom,
% 1.00/1.26 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.26 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.26 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = hAPP(V_f_2,V_x_2) )
% 1.00/1.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.26 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_restrict__def,axiom,
% 1.00/1.26 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.26 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.26 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = hAPP(V_f_2,V_x_2) )
% 1.00/1.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.26 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_single__valued__Id__on,axiom,
% 1.00/1.26 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_compose__def,axiom,
% 1.00/1.26 ! [V_f_2,V_g_2,V_A_2,T_b,T_c,T_a] : c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_g_2,V_f_2) = c_FuncSet_Orestrict(T_a,T_b,hAPP(c_COMBB(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_restrict__extensional,axiom,
% 1.00/1.26 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_Oextensional(T_a,T_b,V_A_2))) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_extensional__restrict,axiom,
% 1.00/1.26 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.26 => c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2) = V_f_2 ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_single__valuedD,axiom,
% 1.00/1.26 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.26 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 1.00/1.26 => ( 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))
% 1.00/1.26 => ( 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_z_2)),V_r_2))
% 1.00/1.26 => V_y_2 = V_z_2 ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_single__valued__def,axiom,
% 1.00/1.26 ! [V_r_2,T_b,T_a] :
% 1.00/1.26 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 1.00/1.26 <=> ! [B_x,B_y] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => ! [B_z] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => B_y = B_z ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_restrictI,axiom,
% 1.00/1.26 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.26 ( ! [B_x] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x))) )
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_restrict__in__funcset,axiom,
% 1.00/1.26 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.26 ( ! [B_x] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),V_B_2)) )
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_cut__def,axiom,
% 1.00/1.26 ! [V_f_2,T_b,V_r_2,V_x_2,V_y_2,T_a] :
% 1.00/1.26 ( ( 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_x_2)),V_r_2))
% 1.00/1.26 => hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2),V_y_2) = hAPP(V_f_2,V_y_2) )
% 1.00/1.26 & ( ~ 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_x_2)),V_r_2))
% 1.00/1.26 => hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2),V_y_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_extensional__funcset__arb,axiom,
% 1.00/1.26 ! [V_x_2,V_T_2,V_S_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2)))
% 1.00/1.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))
% 1.00/1.26 => hAPP(V_f_2,V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_extensionalityI,axiom,
% 1.00/1.26 ! [V_g_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.26 => ( ! [B_x] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.26 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 1.00/1.26 => V_f_2 = V_g_2 ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_single__valuedI,axiom,
% 1.00/1.26 ! [V_r_2,T_b,T_a] :
% 1.00/1.26 ( ! [B_x,B_y] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => ! [B_z] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => B_y = B_z ) )
% 1.00/1.26 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__induct,axiom,
% 1.00/1.26 ! [V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 1.00/1.26 => ( ! [B_y] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),B_y)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ! [B_z] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => ( hBOOL(hAPP(V_Pa_2,B_y))
% 1.00/1.26 => hBOOL(hAPP(V_Pa_2,B_z)) ) ) )
% 1.00/1.26 => hBOOL(hAPP(V_Pa_2,V_ba_2)) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_extensional__funcset__mem,axiom,
% 1.00/1.26 ! [V_x_2,V_T_2,V_S_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_T_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_tfl__cut__apply,axiom,
% 1.00/1.26 ! [T_b,V_aa_2,V_x_2,T_a,B_f,B_R] :
% 1.00/1.26 ( 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_aa_2)),B_R))
% 1.00/1.26 => hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),B_f),B_R),V_aa_2),V_x_2) = hAPP(B_f,V_x_2) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_cuts__eq,axiom,
% 1.00/1.26 ! [V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2) = hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_g_2),V_r_2),V_x_2)
% 1.00/1.26 <=> ! [B_y] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => hAPP(V_f_2,B_y) = hAPP(V_g_2,B_y) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_cut__apply,axiom,
% 1.00/1.26 ! [V_f_2,T_b,V_r_2,V_aa_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_aa_2)),V_r_2))
% 1.00/1.26 => hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_aa_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_adm__lemma,axiom,
% 1.00/1.26 ! [V_Fa_2,V_R_2,T_b,T_a] : c_Recdef_Oadm__wf(T_a,T_b,V_R_2,hAPP(hAPP(c_COMBC(tc_fun(T_a,T_b),tc_fun(T_a,T_a),tc_fun(T_a,T_b)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_b)),tc_fun(T_a,T_b),c_COMBS(T_a,T_a,T_b)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(T_a,T_b),c_COMBB(tc_fun(T_a,T_b),tc_fun(T_a,T_b),T_a,V_Fa_2)),hAPP(hAPP(c_COMBC(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_fun(T_a,T_b))),c_Recdef_Ocut(T_a,T_b)),V_R_2)))),c_COMBI(T_a))) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_extensional__funcset__def,axiom,
% 1.00/1.26 ! [V_T_2,V_S_2,T_b,T_a] : c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_S_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_T_2)),c_FuncSet_Oextensional(T_a,T_b,V_S_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtranclE,axiom,
% 1.00/1.26 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( V_aa_2 != V_ba_2
% 1.00/1.26 => ~ ! [B_y] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),B_y)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_ba_2)),V_r_2)) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__rtranclE,axiom,
% 1.00/1.26 ! [V_r_2,V_z_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( V_x_2 != V_z_2
% 1.00/1.26 => ~ ! [B_y] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_r_2))
% 1.00/1.26 => ~ 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)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__rtrancl__induct,axiom,
% 1.00/1.26 ! [V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(V_Pa_2,V_ba_2))
% 1.00/1.26 => ( ! [B_y,B_z] :
% 1.00/1.26 ( 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))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(V_Pa_2,B_z))
% 1.00/1.26 => hBOOL(hAPP(V_Pa_2,B_y)) ) ) )
% 1.00/1.26 => hBOOL(hAPP(V_Pa_2,V_aa_2)) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__into__rtrancl,axiom,
% 1.00/1.26 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf1E,axiom,
% 1.00/1.26 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))
% 1.00/1.26 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 1.00/1.26 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf1I,axiom,
% 1.00/1.26 ! [T_a,V_B_2,V_x_2,V_A_2] :
% 1.00/1.26 ( hBOOL(hAPP(V_A_2,V_x_2))
% 1.00/1.26 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 1.00/1.26 => hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_IntE,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.26 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.26 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_IntI,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl_Or__into__trancl,axiom,
% 1.00/1.26 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf1D2,axiom,
% 1.00/1.26 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))
% 1.00/1.26 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf1D1,axiom,
% 1.00/1.26 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))
% 1.00/1.26 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Int__assoc,axiom,
% 1.00/1.26 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Int__left__commute,axiom,
% 1.00/1.26 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Int__left__absorb,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Int__commute,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Int__absorb,axiom,
% 1.00/1.26 ! [V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) = V_A_2 ).
% 1.00/1.26
% 1.00/1.26 fof(fact_refl__on__Int,axiom,
% 1.00/1.26 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 1.00/1.26 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.26 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 1.00/1.26 => c_Relation_Orefl__on(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_IntD2,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_IntD1,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Int__iff,axiom,
% 1.00/1.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.26 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.26 & hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_r__into__trancl_H,axiom,
% 1.00/1.26 ! [V_r_2,V_p_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__rtrancl__absorb,axiom,
% 1.00/1.26 ! [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) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__trancl__absorb,axiom,
% 1.00/1.26 ! [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) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__converse,axiom,
% 1.00/1.26 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)) = c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__domain,axiom,
% 1.00/1.26 ! [V_r_2,T_a] : c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) = c_Relation_ODomain(T_a,T_a,V_r_2) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__range,axiom,
% 1.00/1.26 ! [V_r_2,T_a] : c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) = c_Relation_ORange(T_a,T_a,V_r_2) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__Int__eq,axiom,
% 1.00/1.26 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 1.00/1.26 ( hBOOL(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))
% 1.00/1.26 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_R_2,V_S_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__trans,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),V_r_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__into__trancl2,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_r__r__into__trancl,axiom,
% 1.00/1.26 ! [V_c_2,V_R_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_R_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),V_R_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__eq__or__trancl,axiom,
% 1.00/1.26 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.26 <=> ( V_x_2 = V_y_2
% 1.00/1.26 | ( V_x_2 != V_y_2
% 1.00/1.26 & 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_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__into__trancl2,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtranclD,axiom,
% 1.00/1.26 ! [V_R_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.26 => ( V_aa_2 = V_ba_2
% 1.00/1.26 | ( V_aa_2 != V_ba_2
% 1.00/1.26 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__into__trancl1,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),V_r_2))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__rtrancl__trancl,axiom,
% 1.00/1.26 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_ba_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_rtrancl__trancl__trancl,axiom,
% 1.00/1.26 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.26 => ( 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)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.26 => 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_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__converseD,axiom,
% 1.00/1.26 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))))
% 1.00/1.26 => 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_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_trancl__converseI,axiom,
% 1.00/1.26 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))))
% 1.00/1.26 => 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_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__fun__def,axiom,
% 1.00/1.26 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( class_Lattices_Olattice(T_a)
% 1.00/1.26 => hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__apply,axiom,
% 1.00/1.26 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 1.00/1.26 ( class_Lattices_Olattice(T_a)
% 1.00/1.26 => hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_tranclD,axiom,
% 1.00/1.26 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 1.00/1.26 => ? [B_z] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2))
% 1.00/1.26 & 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))) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_tranclD2,axiom,
% 1.00/1.26 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 1.00/1.26 ( 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_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 1.00/1.26 => ? [B_z] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.26 & 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)) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_acyclic__def,axiom,
% 1.00/1.26 ! [V_r_2,T_a] :
% 1.00/1.26 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 1.00/1.26 <=> ! [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)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_adm__wf__def,axiom,
% 1.00/1.26 ! [V_Fa_2,V_R_2,T_b,T_a] :
% 1.00/1.26 ( c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)
% 1.00/1.26 <=> ! [B_f,B_g,B_x] :
% 1.00/1.26 ( ! [B_z] :
% 1.00/1.26 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),B_x)),V_R_2))
% 1.00/1.26 => hAPP(B_f,B_z) = hAPP(B_g,B_z) )
% 1.00/1.26 => hAPP(hAPP(V_Fa_2,B_f),B_x) = hAPP(hAPP(V_Fa_2,B_g),B_x) ) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__Int__eq2,axiom,
% 1.00/1.26 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 1.00/1.26 ( hBOOL(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(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(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,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(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(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,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))
% 1.00/1.26 <=> 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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2,V_S_2))) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__meet,axiom,
% 1.00/1.26 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),V_r_2,V_s_2)) = 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)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_converse__Int,axiom,
% 1.00/1.26 ! [V_s_2,V_r_2,T_a,T_b] : c_Relation_Oconverse(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_r_2,V_s_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Relation_Oconverse(T_b,T_a,V_r_2),c_Relation_Oconverse(T_b,T_a,V_s_2)) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_acyclic__converse,axiom,
% 1.00/1.26 ! [V_r_2,T_a] :
% 1.00/1.26 ( c_Wellfounded_Oacyclic(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))
% 1.00/1.26 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__assoc,axiom,
% 1.00/1.26 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.26 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__sup__aci_I2_J,axiom,
% 1.00/1.26 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.26 ( class_Lattices_Olattice(T_a)
% 1.00/1.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf_Oassoc,axiom,
% 1.00/1.26 ! [V_c,V_b,V_a,T_a] :
% 1.00/1.26 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_c) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__left__commute,axiom,
% 1.00/1.26 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.26 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__sup__aci_I3_J,axiom,
% 1.00/1.26 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.26 ( class_Lattices_Olattice(T_a)
% 1.00/1.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf_Oleft__commute,axiom,
% 1.00/1.26 ! [V_c,V_a,V_b,T_a] :
% 1.00/1.26 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_c)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c)) ) ).
% 1.00/1.26
% 1.00/1.26 fof(fact_inf__left__idem,axiom,
% 1.00/1.26 ! [V_y,V_x,T_a] :
% 1.00/1.26 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf__sup__aci_I4_J,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Lattices_Olattice(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf_Oleft__idem,axiom,
% 1.00/1.27 ! [V_b,V_a,T_a] :
% 1.00/1.27 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf__commute,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf__sup__aci_I1_J,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Lattices_Olattice(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf_Ocommute,axiom,
% 1.00/1.27 ! [V_b,V_a,T_a] :
% 1.00/1.27 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_a) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf__idem,axiom,
% 1.00/1.27 ! [V_x,T_a] :
% 1.00/1.27 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_x) = V_x ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf_Oidem,axiom,
% 1.00/1.27 ! [V_a,T_a] :
% 1.00/1.27 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_a) = V_a ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_irrefl__tranclI,axiom,
% 1.00/1.27 ! [V_x_2,V_r_2,T_a] :
% 1.00/1.27 ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),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))
% 1.00/1.27 => ~ 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))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_acyclicI,axiom,
% 1.00/1.27 ! [V_r_2,T_a] :
% 1.00/1.27 ( ! [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)))
% 1.00/1.27 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_acyclic__insert,axiom,
% 1.00/1.27 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 1.00/1.27 ( 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))
% 1.00/1.27 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 1.00/1.27 & ~ 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))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_tranclE,axiom,
% 1.00/1.27 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.27 => ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.27 => ~ ! [B_c] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),B_c)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.27 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_c),V_ba_2)),V_r_2)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_converse__tranclE,axiom,
% 1.00/1.27 ! [V_r_2,V_z_2,V_x_2,T_a] :
% 1.00/1.27 ( 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)))
% 1.00/1.27 => ( ~ 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)),V_r_2))
% 1.00/1.27 => ~ ! [B_y] :
% 1.00/1.27 ( 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))
% 1.00/1.27 => ~ 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)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf2E,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( hBOOL(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))
% 1.00/1.27 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 1.00/1.27 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf2I,axiom,
% 1.00/1.27 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 1.00/1.27 => hBOOL(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)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_emptyE,axiom,
% 1.00/1.27 ! [V_aa_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insertCI,axiom,
% 1.00/1.27 ! [V_ba_2,V_B_2,V_aa_2,T_a] :
% 1.00/1.27 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_B_2))
% 1.00/1.27 => V_aa_2 = V_ba_2 )
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),V_B_2))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insertE,axiom,
% 1.00/1.27 ! [V_A_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),V_A_2)))
% 1.00/1.27 => ( V_aa_2 != V_ba_2
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf2D2,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( hBOOL(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))
% 1.00/1.27 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf2D1,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( hBOOL(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))
% 1.00/1.27 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Domain__insert,axiom,
% 1.00/1.27 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] : 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_aa_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Range__insert,axiom,
% 1.00/1.27 ! [V_r_2,V_ba_2,V_aa_2,T_a,T_b] : 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_aa_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),c_Relation_ORange(T_b,T_a,V_r_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insertI1,axiom,
% 1.00/1.27 ! [V_B_2,V_aa_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__iff,axiom,
% 1.00/1.27 ! [V_A_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),V_A_2)))
% 1.00/1.27 <=> ( V_aa_2 = V_ba_2
% 1.00/1.27 | hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__ident,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.27 => ( 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)
% 1.00/1.27 <=> V_A_2 = V_B_2 ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insertI2,axiom,
% 1.00/1.27 ! [V_ba_2,V_B_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_B_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),V_B_2))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__absorb,axiom,
% 1.00/1.27 ! [V_A_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_A_2) = V_A_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__inter__insert,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_aa_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_all__not__in__conv,axiom,
% 1.00/1.27 ! [V_A_2,T_a] :
% 1.00/1.27 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.27 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_ex__in__conv,axiom,
% 1.00/1.27 ! [V_A_2,T_a] :
% 1.00/1.27 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.27 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_empty__iff,axiom,
% 1.00/1.27 ! [V_c_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equals0D,axiom,
% 1.00/1.27 ! [V_aa_2,T_a,V_A_2] :
% 1.00/1.27 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__empty__range,axiom,
% 1.00/1.27 ! [T_b,T_a,V_S_2] :
% 1.00/1.27 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 => c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Pi__eq__empty,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))
% 1.00/1.27 <=> ? [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.27 & hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Id__on__empty,axiom,
% 1.00/1.27 ! [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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_singletonE,axiom,
% 1.00/1.27 ! [V_aa_2,V_ba_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 1.00/1.27 => V_ba_2 = V_aa_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_singleton__iff,axiom,
% 1.00/1.27 ! [V_aa_2,V_ba_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 1.00/1.27 <=> V_ba_2 = V_aa_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_singleton__inject,axiom,
% 1.00/1.27 ! [V_ba_2,V_aa_2,T_a] :
% 1.00/1.27 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 1.00/1.27 => V_aa_2 = V_ba_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__code,axiom,
% 1.00/1.27 ! [V_x_2,V_A_2,V_y_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))
% 1.00/1.27 <=> ( V_y_2 = V_x_2
% 1.00/1.27 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_doubleton__eq__iff,axiom,
% 1.00/1.27 ! [V_d_2,V_c_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.27 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 1.00/1.27 <=> ( ( V_aa_2 = V_c_2
% 1.00/1.27 & V_ba_2 = V_d_2 )
% 1.00/1.27 | ( V_aa_2 = V_d_2
% 1.00/1.27 & V_ba_2 = V_c_2 ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__commute,axiom,
% 1.00/1.27 ! [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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__absorb2,axiom,
% 1.00/1.27 ! [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) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__not__empty,axiom,
% 1.00/1.27 ! [V_A_2,V_aa_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_empty__not__insert,axiom,
% 1.00/1.27 ! [V_A_2,V_aa_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_A_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Range__empty,axiom,
% 1.00/1.27 ! [T_a,T_b] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Range__empty__iff,axiom,
% 1.00/1.27 ! [V_r_2,T_a,T_b] :
% 1.00/1.27 ( c_Relation_ORange(T_b,T_a,V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Domain__empty,axiom,
% 1.00/1.27 ! [T_b,T_a] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Domain__empty__iff,axiom,
% 1.00/1.27 ! [V_r_2,T_b,T_a] :
% 1.00/1.27 ( c_Relation_ODomain(T_a,T_b,V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_refl__on__empty,axiom,
% 1.00/1.27 ! [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))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_disjoint__iff__not__equal,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( 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))
% 1.00/1.27 <=> ! [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.27 => ! [B_xa] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))
% 1.00/1.27 => B_x != B_xa ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__empty__right,axiom,
% 1.00/1.27 ! [V_A_2,T_a] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__empty__left,axiom,
% 1.00/1.27 ! [V_B_2,T_a] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_trancl__empty,axiom,
% 1.00/1.27 ! [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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_bot__empty__eq,axiom,
% 1.00/1.27 ! [V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))
% 1.00/1.27 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_total__on__empty,axiom,
% 1.00/1.27 ! [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) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf__bot__right,axiom,
% 1.00/1.27 ! [V_x,T_a] :
% 1.00/1.27 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inf__bot__left,axiom,
% 1.00/1.27 ! [V_x,T_a] :
% 1.00/1.27 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Obot__class_Obot(T_a),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__insert__left__if1,axiom,
% 1.00/1.27 ! [V_B_2,V_C_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__insert__right__if1,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__insert__left__if0,axiom,
% 1.00/1.27 ! [V_B_2,V_C_2,V_aa_2,T_a] :
% 1.00/1.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__insert__right__if0,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__insert__left,axiom,
% 1.00/1.27 ! [V_B_2,V_C_2,V_aa_2,T_a] :
% 1.00/1.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) )
% 1.00/1.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__insert__right,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) )
% 1.00/1.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_the__elem__eq,axiom,
% 1.00/1.27 ! [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 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_bot__fun__def,axiom,
% 1.00/1.27 ! [V_x_2,T_b,T_a] :
% 1.00/1.27 ( class_Orderings_Obot(T_a)
% 1.00/1.27 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_bot__apply,axiom,
% 1.00/1.27 ! [V_x_2,T_b,T_a] :
% 1.00/1.27 ( class_Orderings_Obot(T_a)
% 1.00/1.27 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__restrict__domain,axiom,
% 1.00/1.27 ! [V_T_2,V_f_2,T_b,V_S_2,V_x_2,T_a] :
% 1.00/1.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_S_2),V_T_2)))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,c_HOL_Oundefined(T_b))),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__empty__domain,axiom,
% 1.00/1.27 ! [V_T_2,T_b,T_a] : c_FuncSet_Oextensional__funcset(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_T_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,T_b)),c_COMBK(T_b,T_a,c_HOL_Oundefined(T_b))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__empty,axiom,
% 1.00/1.27 ! [T_b,T_a] : c_FuncSet_Oextensional(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,T_b)),c_COMBK(T_b,T_a,c_HOL_Oundefined(T_b))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_bot__empty__eq2,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,T_b,T_a] :
% 1.00/1.27 ( 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))
% 1.00/1.27 <=> 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)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__extend__domainI,axiom,
% 1.00/1.27 ! [V_x_2,V_S_2,V_f_2,T_b,V_T_2,V_y_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_T_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),V_f_2),c_FuncSet_Oextensional__funcset(T_b,T_a,V_S_2,V_T_2)))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2)),c_FuncSet_Oextensional__funcset(T_b,T_a,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_S_2),V_T_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__triv,axiom,
% 1.00/1.27 ! [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 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__fun__upd__extends__rangeI,axiom,
% 1.00/1.27 ! [V_x_2,V_S_2,V_f_2,T_b,V_T_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_T_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),V_f_2),c_FuncSet_Oextensional__funcset(T_b,T_a,V_S_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_T_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_aa_2)),c_FuncSet_Oextensional__funcset(T_b,T_a,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_S_2),V_T_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_the__elem__def,axiom,
% 1.00/1.27 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,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))))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__def,axiom,
% 1.00/1.27 ! [V_ba_2,V_f_2,T_b,T_a,V_aa_2,V_x_2] :
% 1.00/1.27 ( ( V_x_2 = V_aa_2
% 1.00/1.27 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_aa_2,V_ba_2),V_x_2) = V_ba_2 )
% 1.00/1.27 & ( V_x_2 != V_aa_2
% 1.00/1.27 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_aa_2,V_ba_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_DiffI,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_DiffE,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.27 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_bot2E,axiom,
% 1.00/1.27 ! [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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__cancel,axiom,
% 1.00/1.27 ! [V_A_2,T_a] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__empty,axiom,
% 1.00/1.27 ! [V_A_2,T_a] : 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 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_empty__Diff,axiom,
% 1.00/1.27 ! [V_A_2,T_a] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_minus__apply,axiom,
% 1.00/1.27 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( class_Groups_Ominus(T_a)
% 1.00/1.27 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__diff__def,axiom,
% 1.00/1.27 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( class_Groups_Ominus(T_a)
% 1.00/1.27 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__iff,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.27 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.27 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_DiffD1,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_DiffD2,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))
% 1.00/1.27 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__idemp,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__Int2,axiom,
% 1.00/1.27 ! [V_B_2,V_C_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),V_B_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__Int__distrib2,axiom,
% 1.00/1.27 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Int__Diff,axiom,
% 1.00/1.27 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__Int__distrib,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_C_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__Diff1,axiom,
% 1.00/1.27 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.27 => 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) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__Diff__if,axiom,
% 1.00/1.27 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 1.00/1.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.27 => 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) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) )
% 1.00/1.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.27 => 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),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__Diff__single,axiom,
% 1.00/1.27 ! [V_A_2,V_aa_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_A_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__insert2,axiom,
% 1.00/1.27 ! [V_B_2,V_aa_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__insert,axiom,
% 1.00/1.27 ! [V_B_2,V_aa_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__triv,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( 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))
% 1.00/1.27 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_A_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__disjoint,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__insert__absorb,axiom,
% 1.00/1.27 ! [V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => 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 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__Diff,axiom,
% 1.00/1.27 ! [V_A_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__idem__iff,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2) = V_f_2
% 1.00/1.27 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__upd,axiom,
% 1.00/1.27 ! [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) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__same,axiom,
% 1.00/1.27 ! [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 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__apply,axiom,
% 1.00/1.27 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 1.00/1.27 ( ( V_z_2 = V_x_2
% 1.00/1.27 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 1.00/1.27 & ( V_z_2 != V_x_2
% 1.00/1.27 => 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) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__twist,axiom,
% 1.00/1.27 ! [V_d_2,V_ba_2,V_m_2,T_b,T_a,V_c_2,V_aa_2] :
% 1.00/1.27 ( V_aa_2 != V_c_2
% 1.00/1.27 => c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_aa_2,V_ba_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_c_2,V_d_2),V_aa_2,V_ba_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__other,axiom,
% 1.00/1.27 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 1.00/1.27 ( V_z_2 != V_x_2
% 1.00/1.27 => 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) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__idem,axiom,
% 1.00/1.27 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] :
% 1.00/1.27 ( hAPP(V_f_2,V_x_2) = V_y_2
% 1.00/1.27 => c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__fun__upd__restricts__rangeI,axiom,
% 1.00/1.27 ! [V_T_2,T_b,V_x_2,V_f_2,V_S_2,T_a] :
% 1.00/1.27 ( ! [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 1.00/1.27 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,B_x) )
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_S_2),V_T_2)))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,c_HOL_Oundefined(T_b))),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool),V_T_2,hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 1.00/1.27 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,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)
% 1.00/1.27 => 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)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_extensional__funcset__fun__upd__inj__onI,axiom,
% 1.00/1.27 ! [V_x_2,V_aa_2,V_T_2,V_S_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool),V_T_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 1.00/1.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_S_2)
% 1.00/1.27 => c_Fun_Oinj__on(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_aa_2),V_S_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__empty,axiom,
% 1.00/1.27 ! [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))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__onD,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 1.00/1.27 => V_x_2 = V_y_2 ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__iff,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 1.00/1.27 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 1.00/1.27 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__contraD,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( V_x_2 != V_y_2
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 1.00/1.27 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__id2,axiom,
% 1.00/1.27 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__def,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 <=> ! [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.27 => ! [B_xa] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 1.00/1.27 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 1.00/1.27 => B_x = B_xa ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__diff,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__Int,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 1.00/1.27 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__restrict__eq,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_A_2)
% 1.00/1.27 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 1.00/1.27 ! [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) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 1.00/1.27 ! [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) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 1.00/1.27 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] :
% 1.00/1.27 ( 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))
% 1.00/1.27 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 1.00/1.27 | ? [B_x,B_y] :
% 1.00/1.27 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 1.00/1.27 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2))
% 1.00/1.27 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,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) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_the__sym__eq__trivial,axiom,
% 1.00/1.27 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_the__eq__trivial,axiom,
% 1.00/1.27 ! [V_aa_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_aa_2)) = V_aa_2 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__singleton__iff,axiom,
% 1.00/1.27 ! [V_aa_2,V_r_2,T_b,V_ba_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 1.00/1.27 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_aa_2),V_ba_2)),V_r_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_fun__upd__image,axiom,
% 1.00/1.27 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => 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),c_Set_Oimage(T_a,T_b,V_f_2,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)))))) )
% 1.00/1.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => 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) = c_Set_Oimage(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__insert,axiom,
% 1.00/1.27 ! [V_A_2,V_aa_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_A_2))
% 1.00/1.27 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_aa_2)),c_Set_Oimage(T_a,T_b,V_f_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__eqI,axiom,
% 1.00/1.27 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_ba_2] :
% 1.00/1.27 ( V_ba_2 = hAPP(V_f_2,V_x_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Set_Oimage(T_b,T_a,V_f_2,V_A_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__is__empty,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( 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))
% 1.00/1.27 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__insert,axiom,
% 1.00/1.27 ! [V_B_2,V_aa_2,V_f_2,T_a,T_b] : c_Set_Oimage(T_b,T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_aa_2)),c_Set_Oimage(T_b,T_a,V_f_2,V_B_2)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__empty,axiom,
% 1.00/1.27 ! [V_f_2,T_a,T_b] : 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_empty__is__image,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_Set_Oimage(T_b,T_a,V_f_2,V_A_2)
% 1.00/1.27 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__empty,axiom,
% 1.00/1.27 ! [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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__ident,axiom,
% 1.00/1.27 ! [V_Y_2,T_a] : c_Set_Oimage(T_a,T_a,c_COMBI(T_a),V_Y_2) = V_Y_2 ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__restrict__eq,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_a,T_b] : c_Set_Oimage(T_b,T_a,c_FuncSet_Orestrict(T_b,T_a,V_f_2,V_A_2),V_A_2) = c_Set_Oimage(T_b,T_a,V_f_2,V_A_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__image,axiom,
% 1.00/1.27 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : c_Set_Oimage(T_b,T_a,V_f_2,c_Set_Oimage(T_c,T_b,V_g_2,V_A_2)) = c_Set_Oimage(T_c,T_a,hAPP(c_COMBB(T_b,T_a,T_c,V_f_2),V_g_2),V_A_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_rev__image__eqI,axiom,
% 1.00/1.27 ! [T_b,V_f_2,V_ba_2,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( V_ba_2 = hAPP(V_f_2,V_x_2)
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_imageI,axiom,
% 1.00/1.27 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__iff,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),c_Set_Oimage(T_b,T_a,V_f_2,V_A_2)))
% 1.00/1.27 <=> ? [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 1.00/1.27 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_surj__compose,axiom,
% 1.00/1.27 ! [V_C_2,V_g_2,T_c,V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( c_Set_Oimage(T_b,T_a,V_f_2,V_A_2) = V_B_2
% 1.00/1.27 => ( c_Set_Oimage(T_a,T_c,V_g_2,V_B_2) = V_C_2
% 1.00/1.27 => c_Set_Oimage(T_b,T_c,c_FuncSet_Ocompose(T_b,T_a,T_c,V_A_2,V_g_2,V_f_2),V_A_2) = V_C_2 ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_insert__image,axiom,
% 1.00/1.27 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)) = c_Set_Oimage(T_a,T_b,V_f_2,V_A_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__constant__conv,axiom,
% 1.00/1.27 ! [V_c_2,T_b,T_a,V_A_2] :
% 1.00/1.27 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 => c_Set_Oimage(T_a,T_b,c_COMBK(T_b,T_a,V_c_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 1.00/1.27 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.27 => c_Set_Oimage(T_a,T_b,c_COMBK(T_b,T_a,V_c_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__Id__on,axiom,
% 1.00/1.27 ! [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) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inj__on__fun__updI,axiom,
% 1.00/1.27 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)))
% 1.00/1.27 => 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) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__iff,axiom,
% 1.00/1.27 ! [V_A_2,V_r_2,T_b,V_ba_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 1.00/1.27 <=> ? [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 1.00/1.27 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_ba_2)),V_r_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_rev__ImageI,axiom,
% 1.00/1.27 ! [V_r_2,V_ba_2,T_b,V_A_2,V_aa_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__constant,axiom,
% 1.00/1.27 ! [V_c_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => c_Set_Oimage(T_a,T_b,c_COMBK(T_b,T_a,V_c_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__Int__eq,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] :
% 1.00/1.27 ( c_Relation_Osingle__valued(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_R_2))
% 1.00/1.27 => hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2)) = 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)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_ImageE,axiom,
% 1.00/1.27 ! [V_A_2,V_r_2,T_b,V_ba_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 1.00/1.27 => ~ ! [B_x] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_ba_2)),V_r_2))
% 1.00/1.27 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equiv__class__nondisjoint,axiom,
% 1.00/1.27 ! [V_ba_2,V_aa_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),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_aa_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_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inv__into__funcset,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( c_Set_Oimage(T_b,T_a,V_f_2,V_A_2) = V_B_2
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_2,V_f_2),V_B_2)),c_FuncSet_OPi(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_A_2)))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equiv__class__self,axiom,
% 1.00/1.27 ! [V_aa_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equiv__class__eq,axiom,
% 1.00/1.27 ! [V_ba_2,V_aa_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.27 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_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_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_compose__id__inv__into,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( c_Set_Oimage(T_b,T_a,V_f_2,V_A_2) = V_B_2
% 1.00/1.27 => c_FuncSet_Ocompose(T_a,T_b,T_a,V_B_2,V_f_2,c_FuncSet_Orestrict(T_a,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_a,V_A_2,V_f_2),V_B_2)) = c_FuncSet_Orestrict(T_a,T_a,c_COMBI(T_a),V_B_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_eq__equiv__class,axiom,
% 1.00/1.27 ! [V_A_2,V_ba_2,V_aa_2,V_r_2,T_a] :
% 1.00/1.27 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_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_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 1.00/1.27 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_eq__equiv__class__iff,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 1.00/1.27 => ( 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))))
% 1.00/1.27 <=> 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)) ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equiv__class__eq__iff,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( 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))
% 1.00/1.27 <=> ( 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))))
% 1.00/1.27 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inv__into__f__eq,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 1.00/1.27 => hAPP(c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inv__into__f__f,axiom,
% 1.00/1.27 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => 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 ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inv__into__injective,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_b,T_a] :
% 1.00/1.27 ( 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)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)))
% 1.00/1.27 => V_x_2 = V_y_2 ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_f__inv__into__f,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,V_y_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),c_Set_Oimage(T_b,T_a,V_f_2,V_A_2)))
% 1.00/1.27 => 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 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_inv__into__into,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Set_Oimage(T_b,T_a,V_f_2,V_A_2)))
% 1.00/1.27 => 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)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_eq__equiv__class__iff2,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 1.00/1.27 => ( 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)
% 1.00/1.27 <=> 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)) ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_subset__equiv__class,axiom,
% 1.00/1.27 ! [V_aa_2,V_ba_2,V_r_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.27 => ( 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_ba_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_order__refl,axiom,
% 1.00/1.27 ! [V_x,T_a] :
% 1.00/1.27 ( class_Orderings_Opreorder(T_a)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equalityI,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 1.00/1.27 => V_A_2 = V_B_2 ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_subsetD,axiom,
% 1.00/1.27 ! [V_c_2,V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_empty__subsetI,axiom,
% 1.00/1.27 ! [V_A_2,T_a] : 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) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_trancl__mono,axiom,
% 1.00/1.27 ! [V_s_2,V_r_2,V_p_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__Int__subset,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2)),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))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Image__mono,axiom,
% 1.00/1.27 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_H_2,V_r_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)
% 1.00/1.27 => 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)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_subset__image__iff,axiom,
% 1.00/1.27 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oimage(T_b,T_a,V_f_2,V_A_2))
% 1.00/1.27 <=> ? [B_AA] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),B_AA,V_A_2)
% 1.00/1.27 & V_B_2 = c_Set_Oimage(T_b,T_a,V_f_2,B_AA) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_image__mono,axiom,
% 1.00/1.27 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2),c_Set_Oimage(T_a,T_b,V_f_2,V_B_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_subset__inj__on,axiom,
% 1.00/1.27 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 1.00/1.27 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_double__diff,axiom,
% 1.00/1.27 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 1.00/1.27 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)) = V_A_2 ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__mono,axiom,
% 1.00/1.27 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_D_2,V_B_2)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Diff__subset,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_linorder__le__cases,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Orderings_Olinorder(T_a)
% 1.00/1.27 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_le__funE,axiom,
% 1.00/1.27 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( class_Orderings_Oord(T_b)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_xt1_I6_J,axiom,
% 1.00/1.27 ! [V_z,V_x,V_y,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_xt1_I5_J,axiom,
% 1.00/1.27 ! [V_x,V_y,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.27 => V_x = V_y ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_order__trans,axiom,
% 1.00/1.27 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.27 ( class_Orderings_Opreorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_order__antisym,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.00/1.27 => V_x = V_y ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_xt1_I4_J,axiom,
% 1.00/1.27 ! [V_c,V_a,V_b,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 1.00/1.27 => ( V_b = V_c
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_ord__le__eq__trans,axiom,
% 1.00/1.27 ! [V_c,V_b,V_a,T_a] :
% 1.00/1.27 ( class_Orderings_Oord(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 1.00/1.27 => ( V_b = V_c
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_xt1_I3_J,axiom,
% 1.00/1.27 ! [V_c,V_b,V_a,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( V_a = V_b
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_ord__eq__le__trans,axiom,
% 1.00/1.27 ! [V_c,V_b,V_a,T_a] :
% 1.00/1.27 ( class_Orderings_Oord(T_a)
% 1.00/1.27 => ( V_a = V_b
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_order__antisym__conv,axiom,
% 1.00/1.27 ! [V_x_2,V_y_2,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.00/1.27 <=> V_x_2 = V_y_2 ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_le__funD,axiom,
% 1.00/1.27 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( class_Orderings_Oord(T_b)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_order__eq__refl,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Orderings_Opreorder(T_a)
% 1.00/1.27 => ( V_x = V_y
% 1.00/1.27 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_order__eq__iff,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.27 ( class_Orderings_Oorder(T_a)
% 1.00/1.27 => ( V_x_2 = V_y_2
% 1.00/1.27 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.00/1.27 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_linorder__linear,axiom,
% 1.00/1.27 ! [V_y,V_x,T_a] :
% 1.00/1.27 ( class_Orderings_Olinorder(T_a)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.27 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_le__fun__def,axiom,
% 1.00/1.27 ! [V_g_2,V_f_2,T_a,T_b] :
% 1.00/1.27 ( class_Orderings_Oord(T_b)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 1.00/1.27 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_acyclic__subset,axiom,
% 1.00/1.27 ! [V_r_2,V_s_2,T_a] :
% 1.00/1.27 ( c_Wellfounded_Oacyclic(T_a,V_s_2)
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.27 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_single__valued__subset,axiom,
% 1.00/1.27 ! [V_s_2,V_r_2,T_b,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.27 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2)
% 1.00/1.27 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_pred__subset__eq,axiom,
% 1.00/1.27 ! [V_S_2,V_R_2,T_a] :
% 1.00/1.27 ( 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))
% 1.00/1.27 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_R_2,V_S_2) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_in__mono,axiom,
% 1.00/1.27 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_set__rev__mp,axiom,
% 1.00/1.27 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_set__mp,axiom,
% 1.00/1.27 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_acc__subset,axiom,
% 1.00/1.27 ! [V_R2_2,V_R1_2,T_a] :
% 1.00/1.27 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2,V_R2_2)
% 1.00/1.27 => 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)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Pi__anti__mono,axiom,
% 1.00/1.27 ! [V_B_2,T_b,V_A_2,V_A_H_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2),c_FuncSet_OPi(T_a,T_b,V_A_H_2,V_B_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_predicate1D,axiom,
% 1.00/1.28 ! [V_x_2,V_Qa_2,V_Pa_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Qa_2)
% 1.00/1.28 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 1.00/1.28 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rev__predicate1D,axiom,
% 1.00/1.28 ! [V_Qa_2,T_a,V_x_2,V_Pa_2] :
% 1.00/1.28 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Qa_2)
% 1.00/1.28 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_equalityE,axiom,
% 1.00/1.28 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.28 ( V_A_2 = V_B_2
% 1.00/1.28 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 => ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__trans,axiom,
% 1.00/1.28 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_equalityD2,axiom,
% 1.00/1.28 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.28 ( V_A_2 = V_B_2
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_equalityD1,axiom,
% 1.00/1.28 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.28 ( V_A_2 = V_B_2
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_set__eq__subset,axiom,
% 1.00/1.28 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.28 ( V_A_2 = V_B_2
% 1.00/1.28 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__refl,axiom,
% 1.00/1.28 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Domain__mono,axiom,
% 1.00/1.28 ! [V_s_2,V_r_2,T_b,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_r_2),c_Relation_ODomain(T_a,T_b,V_s_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rtrancl__mono,axiom,
% 1.00/1.28 ! [V_s_2,V_r_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.28 => 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)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rtrancl__subset,axiom,
% 1.00/1.28 ! [V_S_2,V_R_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)
% 1.00/1.28 => ( 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))
% 1.00/1.28 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rtrancl__subset__rtrancl,axiom,
% 1.00/1.28 ! [V_s_2,V_r_2,T_a] :
% 1.00/1.28 ( 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))
% 1.00/1.28 => 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)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Int__lower1,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Int__lower2,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Int__absorb2,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_A_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Int__absorb1,axiom,
% 1.00/1.28 ! [V_A_2,V_B_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 1.00/1.28 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_B_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Int__greatest,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Int__mono,axiom,
% 1.00/1.28 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_le__infE,axiom,
% 1.00/1.28 ! [V_b,V_a,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))
% 1.00/1.28 => ~ ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 1.00/1.28 => ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__mono,axiom,
% 1.00/1.28 ! [V_d,V_b,V_c,V_a,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_d)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_c,V_d)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__greatest,axiom,
% 1.00/1.28 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_le__infI,axiom,
% 1.00/1.28 ! [V_b,V_a,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__absorb2,axiom,
% 1.00/1.28 ! [V_x,V_y,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.00/1.28 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = V_y ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__absorb1,axiom,
% 1.00/1.28 ! [V_y,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.28 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = V_x ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_le__infI2,axiom,
% 1.00/1.28 ! [V_a,V_x,V_b,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_le__infI1,axiom,
% 1.00/1.28 ! [V_b,V_x,V_a,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_le__inf__iff,axiom,
% 1.00/1.28 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y_2,V_z_2))
% 1.00/1.28 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.00/1.28 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_z_2) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_le__iff__inf,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.00/1.28 <=> c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2) = V_x_2 ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__le2,axiom,
% 1.00/1.28 ! [V_y,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__sup__ord_I2_J,axiom,
% 1.00/1.28 ! [V_y,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Olattice(T_a)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__le1,axiom,
% 1.00/1.28 ! [V_y,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inf__sup__ord_I1_J,axiom,
% 1.00/1.28 ! [V_y,V_x,T_a] :
% 1.00/1.28 ( class_Lattices_Olattice(T_a)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__insertI,axiom,
% 1.00/1.28 ! [V_aa_2,V_B_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_B_2)) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__empty,axiom,
% 1.00/1.28 ! [V_A_2,T_a] :
% 1.00/1.28 ( 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)))
% 1.00/1.28 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__insertI2,axiom,
% 1.00/1.28 ! [V_ba_2,V_B_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),V_B_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_insert__mono,axiom,
% 1.00/1.28 ! [V_aa_2,V_D_2,V_C_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_C_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),V_D_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_bot__least,axiom,
% 1.00/1.28 ! [V_x,T_a] :
% 1.00/1.28 ( class_Orderings_Obot(T_a)
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(T_a,c_Orderings_Obot__class_Obot(T_a),V_x) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_less__by__empty,axiom,
% 1.00/1.28 ! [V_B_2,T_a,V_A_2] :
% 1.00/1.28 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_image__diff__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2,V_A_2),c_Set_Oimage(T_b,T_a,V_f_2,V_B_2)),c_Set_Oimage(T_b,T_a,V_f_2,c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_image__Int__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2,V_A_2),c_Set_Oimage(T_b,T_a,V_f_2,V_B_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__singletonD,axiom,
% 1.00/1.28 ! [V_x_2,V_A_2,T_a] :
% 1.00/1.28 ( 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))))
% 1.00/1.28 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.28 | 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))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_insert__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.28 ( 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)
% 1.00/1.28 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.28 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__insert,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => ( 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))
% 1.00/1.28 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__empty,axiom,
% 1.00/1.28 ! [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)) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__is__empty2,axiom,
% 1.00/1.28 ! [V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( 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)
% 1.00/1.28 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__is__empty,axiom,
% 1.00/1.28 ! [V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( 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))
% 1.00/1.28 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Image__closed__trancl,axiom,
% 1.00/1.28 ! [V_X_2,V_r_2,T_a] :
% 1.00/1.28 ( 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)
% 1.00/1.28 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_image__inv__into__cancel,axiom,
% 1.00/1.28 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_a,T_b] :
% 1.00/1.28 ( c_Set_Oimage(T_b,T_a,V_f_2,V_A_2) = V_A_H_2
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_H_2,V_A_H_2)
% 1.00/1.28 => c_Set_Oimage(T_b,T_a,V_f_2,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 ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Domain__Diff__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2)),c_Relation_ODomain(T_a,T_b,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Range__Diff__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2)),c_Relation_ORange(T_b,T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_extensional__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_B_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inj__on__iff__surj,axiom,
% 1.00/1.28 ! [V_A_H_2,T_b,T_a,V_A_2] :
% 1.00/1.28 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.00/1.28 => ( ? [B_f] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 1.00/1.28 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_a,T_b,B_f,V_A_2),V_A_H_2) )
% 1.00/1.28 <=> ? [B_g] : c_Set_Oimage(T_b,T_a,B_g,V_A_H_2) = V_A_2 ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inj__on__image__Int,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 1.00/1.28 => c_Set_Oimage(T_a,T_b,V_f_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2),c_Set_Oimage(T_a,T_b,V_f_2,V_B_2)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inj__on__image__set__diff,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 1.00/1.28 => c_Set_Oimage(T_a,T_b,V_f_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2),c_Set_Oimage(T_a,T_b,V_f_2,V_B_2)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inv__into__image__cancel,axiom,
% 1.00/1.28 ! [V_S_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_S_2,V_A_2)
% 1.00/1.28 => c_Set_Oimage(T_b,T_a,c_Hilbert__Choice_Oinv__into(T_a,T_b,V_A_2,V_f_2),c_Set_Oimage(T_a,T_b,V_f_2,V_S_2)) = V_S_2 ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inj__on__inv__into,axiom,
% 1.00/1.28 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oimage(T_b,T_a,V_f_2,V_A_2))
% 1.00/1.28 => 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) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Domain__Int__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Range__Int__subset,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,T_b,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_funcset__image,axiom,
% 1.00/1.28 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2),V_B_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_singleton__quotient,axiom,
% 1.00/1.28 ! [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))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_diff__single__insert,axiom,
% 1.00/1.28 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),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)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => 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)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_subset__insert__iff,axiom,
% 1.00/1.28 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 1.00/1.28 ( 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))
% 1.00/1.28 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),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) )
% 1.00/1.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__disj,axiom,
% 1.00/1.28 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => ( V_X_2 = V_Y_2
% 1.00/1.28 | 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)) ) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__diff1,axiom,
% 1.00/1.28 ! [V_aa_2,V_A_2,V_r_2,T_a] :
% 1.00/1.28 ( 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(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)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.28 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotientI,axiom,
% 1.00/1.28 ! [V_r_2,V_A_2,V_x_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => 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))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_equiv__class__subset,axiom,
% 1.00/1.28 ! [V_ba_2,V_aa_2,V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))
% 1.00/1.28 => 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_aa_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_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__eq__iff,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 1.00/1.28 => ( V_X_2 = V_Y_2
% 1.00/1.28 <=> 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)) ) ) ) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__eqI,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 1.00/1.28 => ( 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))
% 1.00/1.28 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_flat__lub__def,axiom,
% 1.00/1.28 ! [V_ba_2,V_A_2,T_a] :
% 1.00/1.28 ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 1.00/1.28 => c_Partial__Function_Oflat__lub(T_a,V_ba_2,V_A_2) = V_ba_2 )
% 1.00/1.28 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 1.00/1.28 => c_Partial__Function_Oflat__lub(T_a,V_ba_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)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotientE,axiom,
% 1.00/1.28 ! [V_r_2,V_A_2,V_X_2,T_a] :
% 1.00/1.28 ( 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)))
% 1.00/1.28 => ~ ! [B_x] :
% 1.00/1.28 ( 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))))
% 1.00/1.28 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_accp__subset,axiom,
% 1.00/1.28 ! [V_R2_2,V_R1_2,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R1_2,V_R2_2)
% 1.00/1.28 => 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)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_pred__subset__eq2,axiom,
% 1.00/1.28 ! [V_S_2,V_R_2,T_b,T_a] :
% 1.00/1.28 ( 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(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(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,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(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(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,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))
% 1.00/1.28 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2,V_S_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_diff__eq__diff__less__eq,axiom,
% 1.00/1.28 ! [V_d_2,V_c_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.28 ( class_Groups_Oordered__ab__group__add(T_a)
% 1.00/1.28 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_ba_2)
% 1.00/1.28 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_c_2,V_d_2) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_the__inv__into__into,axiom,
% 1.00/1.28 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)))
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.28 => 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)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rev__predicate2D,axiom,
% 1.00/1.28 ! [V_Qa_2,T_b,T_a,V_y_2,V_x_2,V_Pa_2] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 1.00/1.28 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Pa_2,V_Qa_2)
% 1.00/1.28 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_predicate2D,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_b,T_a] :
% 1.00/1.28 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Pa_2,V_Qa_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_diff__eq__diff__eq,axiom,
% 1.00/1.28 ! [V_d_2,V_c_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.28 ( class_Groups_Oab__group__add(T_a)
% 1.00/1.28 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 1.00/1.28 => ( V_aa_2 = V_ba_2
% 1.00/1.28 <=> V_c_2 = V_d_2 ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_the__inv__into__f__eq,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_the__inv__into__f__f,axiom,
% 1.00/1.28 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => 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 ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_inj__on__the__inv__into,axiom,
% 1.00/1.28 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_the__inv__into__onto,axiom,
% 1.00/1.28 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)) = V_A_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_the__inv__into__def,axiom,
% 1.00/1.28 ! [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(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(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a,c_fequal),V_f_2)),V_x_2))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_f__the__inv__into__f,axiom,
% 1.00/1.28 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),c_Set_Oimage(T_a,T_b,V_f_2,V_A_2)))
% 1.00/1.28 => 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 ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_quotient__def,axiom,
% 1.00/1.28 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = 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(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(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)))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_congruentD,axiom,
% 1.00/1.28 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] :
% 1.00/1.28 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2))
% 1.00/1.28 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_SUP1__I,axiom,
% 1.00/1.28 ! [T_b,V_ba_2,V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(V_B_2,V_aa_2),V_ba_2))
% 1.00/1.28 => hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2),V_ba_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_SUP1__iff,axiom,
% 1.00/1.28 ! [V_ba_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2),V_ba_2))
% 1.00/1.28 <=> ? [B_x] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.28 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Image__UN,axiom,
% 1.00/1.28 ! [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),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool),V_A_2,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)) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_UN__equiv__class,axiom,
% 1.00/1.28 ! [V_aa_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 1.00/1.28 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 1.00/1.28 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.28 => 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_f_2) = hAPP(V_f_2,V_aa_2) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Image__eq__UN,axiom,
% 1.00/1.28 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2,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))))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_UN__I,axiom,
% 1.00/1.28 ! [V_B_2,V_ba_2,T_b,V_A_2,V_aa_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_aa_2)))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 %----Arity declarations (18)
% 1.00/1.28 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 1.00/1.28 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Lattices_Obounded__lattice(T_1)
% 1.00/1.28 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Lattices_Obounded__lattice(T_1)
% 1.00/1.28 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Lattices_Olattice(T_1)
% 1.00/1.28 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Orderings_Opreorder,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Orderings_Opreorder(T_1)
% 1.00/1.28 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Lattices_Olattice,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Lattices_Olattice(T_1)
% 1.00/1.28 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Orderings_Oorder,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Orderings_Oorder(T_1)
% 1.00/1.28 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Orderings_Oord,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Orderings_Oord(T_1)
% 1.00/1.28 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Orderings_Obot,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Orderings_Obot(T_1)
% 1.00/1.28 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_fun__Groups_Ominus,axiom,
% 1.00/1.28 ! [T_2,T_1] :
% 1.00/1.28 ( class_Groups_Ominus(T_1)
% 1.00/1.28 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 1.00/1.28 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 1.00/1.28 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 1.00/1.28 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 1.00/1.28 class_Lattices_Olattice(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 1.00/1.28 class_Orderings_Oorder(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 1.00/1.28 class_Orderings_Oord(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 1.00/1.28 class_Orderings_Obot(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 1.00/1.28 class_Groups_Ominus(tc_HOL_Obool) ).
% 1.00/1.28
% 1.00/1.28 %----Helper facts (12)
% 1.00/1.28 fof(help_c__COMBI__1,axiom,
% 1.00/1.28 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__COMBK__1,axiom,
% 1.00/1.28 ! [V_Q,V_P,T_b,T_a] : hAPP(c_COMBK(T_a,T_b,V_P),V_Q) = V_P ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__COMBB__1,axiom,
% 1.00/1.28 ! [V_R_2,V_Qa_2,V_Pa_2,T_c,T_a,T_b] : 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)) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__COMBC__1,axiom,
% 1.00/1.28 ! [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) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__COMBS__1,axiom,
% 1.00/1.28 ! [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)) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fequal__1,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2] :
% 1.00/1.28 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 1.00/1.28 | V_x_2 = V_y_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fequal__2,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2] :
% 1.00/1.28 ( V_x_2 != V_y_2
% 1.00/1.28 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fNot__1,axiom,
% 1.00/1.28 ! [V_Pa_2] :
% 1.00/1.28 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 1.00/1.28 | ~ hBOOL(V_Pa_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fNot__2,axiom,
% 1.00/1.28 ! [V_Pa_2] :
% 1.00/1.28 ( ~ ~ hBOOL(V_Pa_2)
% 1.00/1.28 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fconj__1,axiom,
% 1.00/1.28 ! [V_Qa_2,V_Pa_2] :
% 1.00/1.28 ( ~ hBOOL(V_Pa_2)
% 1.00/1.28 | ~ hBOOL(V_Qa_2)
% 1.00/1.28 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fconj__2,axiom,
% 1.00/1.28 ! [V_Qa_2,V_Pa_2] :
% 1.00/1.28 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 1.00/1.28 | hBOOL(V_Pa_2) ) ).
% 1.00/1.28
% 1.00/1.28 fof(help_c__fconj__3,axiom,
% 1.00/1.28 ! [V_Qa_2,V_Pa_2] :
% 1.00/1.28 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 1.00/1.28 | hBOOL(V_Qa_2) ) ).
% 1.00/1.28
% 1.00/1.28 %----Conjectures (1)
% 1.00/1.28 fof(conj_0,conjecture,
% 1.00/1.28 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)) ).
% 1.00/1.28
% 1.00/1.28 %------------------------------------------------------------------------------
% 1.00/1.28 %-------------------------------------------
% 1.00/1.28 % Proof found
% 1.00/1.28 % SZS status Theorem for theBenchmark
% 1.00/1.28 % SZS output start Proof
% 1.00/1.28 %ClaNum:1326(EqnAxiom:566)
% 1.00/1.28 %VarNum:8874(SingletonVarNum:2550)
% 1.00/1.28 %MaxLitNum:7
% 1.00/1.28 %MaxfuncDepth:10
% 1.00/1.28 %SharedTerms:90
% 1.00/1.28 %goalClause: 694
% 1.00/1.28 %singleGoalClaCount:1
% 1.00/1.28 [567]P1(a1)
% 1.00/1.28 [568]P2(a1)
% 1.00/1.28 [569]P4(a2)
% 1.00/1.28 [570]P25(a2)
% 1.00/1.28 [571]P5(a2)
% 1.00/1.28 [572]P26(a2)
% 1.00/1.28 [573]P6(a2)
% 1.00/1.28 [574]P27(a2)
% 1.00/1.28 [575]P28(a2)
% 1.00/1.28 [576]P30(a2)
% 1.00/1.28 [577]P23(a2)
% 1.00/1.28 [685]~E(a155,a153)
% 1.00/1.28 [686]~E(a153,a154)
% 1.00/1.28 [687]~E(a155,a149)
% 1.00/1.28 [688]~E(a154,a149)
% 1.00/1.28 [648]P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),a149),a154)),f12(a1,a150)))
% 1.00/1.28 [694]~P31(f12(f12(f52(f147(f148(a145,a145),a2)),f12(a1,a152)),a5))
% 1.00/1.28 [637]P31(f12(f12(f52(f147(f148(a145,a145),a2)),a53),a5))
% 1.00/1.28 [658]P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),a152),a7))
% 1.00/1.28 [659]P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),a151),a7))
% 1.00/1.28 [660]P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),a150),a7))
% 1.00/1.28 [679]P31(f12(f12(f52(f147(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2))),a1),f22(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2),a7,f16(f147(f147(f148(a145,a145),a2),a2),f147(a146,f147(f148(a145,a145),a2)),a5))))
% 1.00/1.28 [580]E(f27(x5801,x5801,a13),a13)
% 1.00/1.28 [596]E(f32(f147(f148(x5961,x5961),a2)),f35(x5961,f32(f147(x5961,a2))))
% 1.00/1.28 [620]P14(x6201,f32(f147(x6201,a2)),f32(f147(f148(x6201,x6201),a2)))
% 1.00/1.28 [615]E(f46(x6151,f32(f147(f148(x6151,x6151),a2))),f32(f147(f148(x6151,x6151),a2)))
% 1.00/1.28 [682]E(f26(f147(f148(a145,a145),a2),f147(f148(a145,a145),a2),f12(f12(f30(f147(f148(a145,a145),a2),f12(f12(a13,a149),a153)),f12(a150,x6821)),f8(f12(a150,x6821),a153,a149)),f12(f12(f18(f147(f148(a145,a145),a2),f147(f148(a145,a145),a2),f147(f148(a145,a145),a2)),f30(f147(f148(a145,a145),a2),f12(f12(a13,a154),a155))),f12(f12(f4(f147(f148(a145,a145),a2),a145,f147(f148(a145,a145),a2)),f12(f12(f4(f147(f148(a145,a145),a2),a145,f147(a145,f147(f148(a145,a145),a2))),a9),a154)),a155))),f12(a152,x6821))
% 1.00/1.28 [584]P7(f147(x5841,a2),x5842,x5842)
% 1.00/1.28 [586]P14(x5861,x5862,f35(x5861,x5862))
% 1.00/1.28 [587]P19(x5871,x5871,f35(x5871,x5872))
% 1.00/1.28 [617]P8(x6171,x6171,f3(x6171),x6172)
% 1.00/1.28 [578]E(f12(f3(x5781),x5782),x5782)
% 1.00/1.28 [579]E(f14(x5791,f12(a13,x5792)),x5792)
% 1.00/1.28 [581]E(f34(x5811,f34(x5811,x5812)),f34(x5811,x5812))
% 1.00/1.28 [582]E(f34(x5821,f46(x5821,x5822)),f34(x5821,x5822))
% 1.00/1.28 [583]E(f46(x5831,f34(x5831,x5832)),f34(x5831,x5832))
% 1.00/1.28 [585]E(f28(f147(x5851,a2),x5852,x5852),x5852)
% 1.00/1.28 [588]E(f36(x5881,x5881,f35(x5881,x5882)),x5882)
% 1.00/1.28 [589]E(f40(x5891,x5891,f35(x5891,x5892)),f35(x5891,x5892))
% 1.00/1.28 [590]E(f15(f147(x5901,a2),x5902,x5902),f32(f147(x5901,a2)))
% 1.00/1.28 [591]P20(x5911,f32(f147(x5911,a2)),x5912)
% 1.00/1.28 [593]P7(f147(x5931,a2),f32(f147(x5931,a2)),x5932)
% 1.00/1.28 [595]E(f36(x5951,x5951,f46(x5951,x5952)),f36(x5951,x5951,x5952))
% 1.00/1.28 [605]E(f40(x6051,x6051,f34(x6051,x6052)),f34(x6051,f40(x6051,x6051,x6052)))
% 1.00/1.28 [606]E(f40(x6061,x6061,f46(x6061,x6062)),f46(x6061,f40(x6061,x6061,x6062)))
% 1.00/1.28 [618]E(f43(x6181,x6181,f3(x6181),x6182),x6182)
% 1.00/1.28 [594]E(f15(f147(x5941,a2),x5942,f32(f147(x5941,a2))),x5942)
% 1.00/1.28 [598]E(f28(f147(x5981,a2),x5982,f32(f147(x5981,a2))),f32(f147(x5981,a2)))
% 1.00/1.28 [599]E(f28(f147(x5991,a2),f32(f147(x5991,a2)),x5992),f32(f147(x5991,a2)))
% 1.00/1.28 [600]E(f15(f147(x6001,a2),f32(f147(x6001,a2)),x6002),f32(f147(x6001,a2)))
% 1.00/1.28 [608]E(f36(x6081,x6081,f40(x6081,x6081,f35(x6081,x6082))),x6082)
% 1.00/1.28 [627]E(f36(x6271,x6271,f40(x6271,x6271,f46(x6271,x6272))),f36(x6271,x6271,f40(x6271,x6271,x6272)))
% 1.00/1.28 [692]~P31(f12(f12(f52(x6921),x6922),f32(f147(x6921,a2))))
% 1.00/1.28 [609]E(f45(x6091,f12(f12(f42(x6091),x6092),f32(f147(x6091,a2)))),x6092)
% 1.00/1.28 [610]E(f12(f12(f17(x6101),f32(f147(x6101,a2))),x6102),f32(f147(f147(x6101,a2),a2)))
% 1.00/1.28 [614]E(f36(x6141,x6142,f32(f147(f148(x6141,x6142),a2))),f32(f147(x6141,a2)))
% 1.00/1.28 [634]E(f14(x6341,f12(f12(f4(x6341,x6341,a2),a13),x6342)),x6342)
% 1.00/1.28 [644]E(f12(f12(f42(f147(x6441,x6442)),f16(x6442,x6441,f29(x6442))),f32(f147(f147(x6441,x6442),a2))),f20(x6441,x6442,f32(f147(x6441,a2))))
% 1.00/1.28 [663]P31(f12(f12(f52(f147(x6631,x6631)),f3(x6631)),f22(x6631,x6631,x6632,f16(f147(x6631,a2),x6631,x6632))))
% 1.00/1.28 [633]E(f36(x6331,x6332,f40(x6332,x6331,f32(f147(f148(x6332,x6331),a2)))),f32(f147(x6331,a2)))
% 1.00/1.28 [674]E(f14(x6741,f12(f6(f147(x6741,a2),a2,x6741,f12(a13,x6742)),f12(f12(f4(x6741,f147(x6741,a2),f147(x6741,a2)),f42(x6741)),f32(f147(x6741,a2))))),f45(x6741,x6742))
% 1.00/1.28 [597]E(f28(f147(x5971,a2),x5972,x5973),f28(f147(x5971,a2),x5973,x5972))
% 1.00/1.28 [601]E(f40(x6011,x6012,f40(x6012,x6011,x6013)),x6013)
% 1.00/1.28 [602]E(f27(x6021,x6022,f27(x6022,x6021,x6023)),x6023)
% 1.00/1.28 [611]P7(f147(x6111,a2),f28(f147(x6111,a2),x6112,x6113),x6113)
% 1.00/1.28 [612]P7(f147(x6121,a2),f28(f147(x6121,a2),x6122,x6123),x6122)
% 1.00/1.28 [613]P7(f147(x6131,a2),f15(f147(x6131,a2),x6132,x6133),x6132)
% 1.00/1.28 [621]P8(x6211,x6212,x6213,f32(f147(x6211,a2)))
% 1.00/1.28 [653]P31(f12(f12(f52(f148(x6531,x6531)),f12(f12(f37(x6531,x6531),x6532),x6532)),f34(x6531,x6533)))
% 1.00/1.28 [603]P7(f147(x6031,a2),x6032,f12(f12(f42(x6031),x6033),x6032))
% 1.00/1.28 [604]E(f12(f41(x6041,x6042,x6043),f32(f147(x6041,a2))),f32(f147(x6042,a2)))
% 1.00/1.28 [616]E(f12(f41(x6161,x6161,f35(x6161,x6162)),x6163),f28(f147(x6161,a2),x6162,x6163))
% 1.00/1.28 [619]E(f28(f147(x6191,a2),x6192,f15(f147(x6191,a2),x6193,x6192)),f32(f147(x6191,a2)))
% 1.00/1.28 [622]E(f28(f147(x6221,a2),x6222,f28(f147(x6221,a2),x6222,x6223)),f28(f147(x6221,a2),x6222,x6223))
% 1.00/1.28 [623]E(f15(f147(x6231,a2),f15(f147(x6231,a2),x6232,x6233),x6233),f15(f147(x6231,a2),x6232,x6233))
% 1.00/1.28 [626]E(f43(x6261,x6262,x6263,f32(f147(x6261,a2))),f32(f147(x6262,a2)))
% 1.00/1.28 [628]E(f36(x6281,x6282,f40(x6282,x6281,f40(x6281,x6282,x6283))),f36(x6281,x6282,x6283))
% 1.00/1.28 [690]~E(f12(f12(f42(x6901),x6902),x6903),f32(f147(x6901,a2)))
% 1.00/1.28 [607]E(f12(f12(f42(x6071),x6072),f12(f12(f42(x6071),x6072),x6073)),f12(f12(f42(x6071),x6072),x6073))
% 1.00/1.28 [625]P31(f12(f12(f52(x6251),x6252),f12(f12(f42(x6251),x6252),x6253)))
% 1.00/1.28 [647]E(f24(x6471,x6472,f32(f147(x6471,a2)),x6473),f12(f12(f42(f147(x6471,x6472)),f16(x6472,x6471,f29(x6472))),f32(f147(f147(x6471,x6472),a2))))
% 1.00/1.28 [645]E(f12(f12(f42(x6451),x6452),f15(f147(x6451,a2),x6453,f12(f12(f42(x6451),x6452),f32(f147(x6451,a2))))),f12(f12(f42(x6451),x6452),x6453))
% 1.00/1.28 [665]E(f12(f12(f42(f147(x6651,a2)),f12(f41(x6651,x6651,x6652),f12(f12(f42(x6651),x6653),f32(f147(x6651,a2))))),f32(f147(f147(x6651,a2),a2))),f12(f12(f17(x6651),f12(f12(f42(x6651),x6653),f32(f147(x6651,a2)))),x6652))
% 1.00/1.28 [683]E(f19(x6831,f147(f147(x6831,a2),a2),x6832,f12(f12(f4(x6831,f147(f147(x6831,a2),a2),f147(f147(x6831,a2),a2)),f12(f6(f147(x6831,a2),f147(f147(f147(x6831,a2),a2),f147(f147(x6831,a2),a2)),x6831,f42(f147(x6831,a2))),f12(f6(f147(x6831,a2),f147(x6831,a2),x6831,f41(x6831,x6831,x6833)),f12(f12(f4(x6831,f147(x6831,a2),f147(x6831,a2)),f42(x6831)),f32(f147(x6831,a2)))))),f32(f147(f147(x6831,a2),a2)))),f12(f12(f17(x6831),x6832),x6833))
% 1.00/1.28 [592]E(f12(f16(x5921,x5922,x5923),x5924),x5923)
% 1.00/1.28 [649]E(f40(x6491,x6491,f44(x6492,x6491,x6493,x6494)),f44(x6492,x6491,f40(x6492,x6492,x6493),x6494))
% 1.00/1.28 [651]E(f43(x6511,x6512,f25(x6511,x6512,x6513,x6514),x6514),f43(x6511,x6512,x6513,x6514))
% 1.00/1.28 [654]E(f21(x6541,x6542,x6543,x6544,f12(x6543,x6544)),x6543)
% 1.00/1.28 [661]E(f28(f147(f147(x6611,x6612),a2),f22(x6611,x6612,x6613,f16(f147(x6612,a2),x6611,x6614)),f20(x6611,x6612,x6613)),f24(x6611,x6612,x6613,x6614))
% 1.00/1.28 [667]P31(f12(f12(f52(f147(x6671,x6672)),f25(x6671,x6672,x6673,x6674)),f20(x6671,x6672,x6674)))
% 1.00/1.28 [678]P12(x6781,x6782,x6783,x6784,f32(f147(x6781,a2)),x6784)
% 1.00/1.28 [684]P15(x6841,x6842,x6843,f12(f12(f4(f147(x6841,x6842),f147(x6841,x6841),f147(x6841,x6842)),f12(f6(f147(x6841,f147(x6841,x6842)),f147(f147(x6841,x6841),f147(x6841,x6842)),f147(x6841,x6842),f18(x6841,x6841,x6842)),f12(f6(f147(x6841,f147(x6841,x6842)),f147(x6841,f147(x6841,x6842)),f147(x6841,x6842),f6(f147(x6841,x6842),f147(x6841,x6842),x6841,x6844)),f12(f12(f4(f147(x6841,x6842),f147(f148(x6841,x6841),a2),f147(x6841,f147(x6841,x6842))),f38(x6841,x6842)),x6843)))),f3(x6841)))
% 1.00/1.28 [629]E(f28(f147(x6291,a2),x6292,f28(f147(x6291,a2),x6293,x6294)),f28(f147(x6291,a2),x6293,f28(f147(x6291,a2),x6292,x6294)))
% 1.00/1.28 [630]E(f28(f147(x6301,a2),f28(f147(x6301,a2),x6302,x6303),x6304),f28(f147(x6301,a2),x6302,f28(f147(x6301,a2),x6303,x6304)))
% 1.00/1.28 [631]E(f15(f147(x6311,a2),f28(f147(x6311,a2),x6312,x6313),x6314),f28(f147(x6311,a2),x6312,f15(f147(x6311,a2),x6313,x6314)))
% 1.00/1.28 [638]E(f15(f147(x6381,a2),f28(f147(x6381,a2),x6382,x6383),f28(f147(x6381,a2),x6382,x6384)),f28(f147(x6381,a2),x6382,f15(f147(x6381,a2),x6383,x6384)))
% 1.00/1.28 [639]E(f15(f147(x6391,a2),f28(f147(x6391,a2),x6392,x6393),f28(f147(x6391,a2),x6394,x6393)),f28(f147(x6391,a2),f15(f147(x6391,a2),x6392,x6394),x6393))
% 1.00/1.28 [640]E(f15(f147(x6401,a2),f28(f147(x6401,a2),x6402,x6403),f28(f147(x6401,a2),x6404,x6403)),f15(f147(x6401,a2),f28(f147(x6401,a2),x6402,x6403),x6404))
% 1.00/1.28 [624]E(f12(f12(f42(x6241),x6242),f12(f12(f42(x6241),x6243),x6244)),f12(f12(f42(x6241),x6243),f12(f12(f42(x6241),x6242),x6244)))
% 1.00/1.28 [632]E(f28(f147(x6321,a2),f12(f12(f42(x6321),x6322),x6323),f12(f12(f42(x6321),x6322),x6324)),f12(f12(f42(x6321),x6322),f28(f147(x6321,a2),x6323,x6324)))
% 1.00/1.28 [641]E(f15(f147(x6411,a2),f15(f147(x6411,a2),x6412,x6413),f12(f12(f42(x6411),x6414),f32(f147(x6411,a2)))),f15(f147(x6411,a2),x6412,f12(f12(f42(x6411),x6414),x6413)))
% 1.00/1.28 [642]E(f28(f147(x6421,f147(x6422,a2)),f27(x6422,x6421,x6423),f27(x6422,x6421,x6424)),f27(x6422,x6421,f28(f147(x6422,f147(x6421,a2)),x6423,x6424)))
% 1.00/1.28 [643]E(f28(f147(f148(x6431,x6432),a2),f40(x6432,x6431,x6433),f40(x6432,x6431,x6434)),f40(x6432,x6431,f28(f147(f148(x6432,x6431),a2),x6433,x6434)))
% 1.00/1.28 [656]P7(f147(x6561,a2),f36(x6561,x6562,f28(f147(f148(x6561,x6562),a2),x6563,x6564)),f28(f147(x6561,a2),f36(x6561,x6562,x6563),f36(x6561,x6562,x6564)))
% 1.00/1.28 [657]P7(f147(x6571,a2),f15(f147(x6571,a2),f36(x6571,x6572,x6573),f36(x6571,x6572,x6574)),f36(x6571,x6572,f15(f147(f148(x6571,x6572),a2),x6573,x6574)))
% 1.00/1.28 [646]E(f15(f147(x6461,a2),f15(f147(x6461,a2),x6462,f12(f12(f42(x6461),x6463),f32(f147(x6461,a2)))),x6464),f15(f147(x6461,a2),x6462,f12(f12(f42(x6461),x6463),x6464)))
% 1.00/1.28 [670]P7(f147(x6701,a2),f36(x6701,x6702,f40(x6702,x6701,f28(f147(f148(x6702,x6701),a2),x6703,x6704))),f28(f147(x6701,a2),f36(x6701,x6702,f40(x6702,x6701,x6703)),f36(x6701,x6702,f40(x6702,x6701,x6704))))
% 1.00/1.28 [671]P7(f147(x6711,a2),f15(f147(x6711,a2),f36(x6711,x6712,f40(x6712,x6711,x6713)),f36(x6711,x6712,f40(x6712,x6711,x6714))),f36(x6711,x6712,f40(x6712,x6711,f15(f147(f148(x6712,x6711),a2),x6713,x6714))))
% 1.00/1.28 [675]E(f19(x6751,f147(x6752,a2),x6753,f12(f6(f147(x6751,a2),f147(x6752,a2),x6751,f41(x6751,x6752,x6754)),f12(f12(f4(x6751,f147(x6751,a2),f147(x6751,a2)),f42(x6751)),f32(f147(x6751,a2))))),f12(f41(x6751,x6752,x6754),x6753))
% 1.00/1.28 [693]~P31(f12(f12(f32(f147(x6931,f147(x6932,a2))),x6933),x6934))
% 1.00/1.28 [666]E(f12(f21(x6661,x6662,x6663,x6664,x6665),x6664),x6665)
% 1.00/1.28 [662]P7(f147(x6621,a2),f12(f41(x6622,x6621,x6623),f28(f147(x6622,a2),x6624,x6625)),f28(f147(x6621,a2),f12(f41(x6622,x6621,x6623),x6624),f12(f41(x6622,x6621,x6623),x6625)))
% 1.00/1.28 [672]P7(f147(x6721,a2),f43(x6722,x6721,x6723,f28(f147(x6722,a2),x6724,x6725)),f28(f147(x6721,a2),f43(x6722,x6721,x6723,x6724),f43(x6722,x6721,x6723,x6725)))
% 1.00/1.28 [673]P7(f147(x6731,a2),f15(f147(x6731,a2),f43(x6732,x6731,x6733,x6734),f43(x6732,x6731,x6733,x6735)),f43(x6732,x6731,x6733,f15(f147(x6732,a2),x6734,x6735)))
% 1.00/1.28 [650]E(f43(x6501,x6502,x6503,f12(f12(f42(x6501),x6504),x6505)),f12(f12(f42(x6502),f12(x6503,x6504)),f43(x6501,x6502,x6503,x6505)))
% 1.00/1.28 [655]E(f36(x6551,x6552,f12(f12(f42(f148(x6551,x6552)),f12(f12(f37(x6551,x6552),x6553),x6554)),x6555)),f12(f12(f42(x6551),x6553),f36(x6551,x6552,x6555)))
% 1.00/1.28 [669]E(f36(x6691,x6692,f40(x6692,x6691,f12(f12(f42(f148(x6692,x6691)),f12(f12(f37(x6692,x6691),x6693),x6694)),x6695))),f12(f12(f42(x6691),x6694),f36(x6691,x6692,f40(x6692,x6691,x6695))))
% 1.00/1.28 [681]E(f14(x6811,f12(f12(f18(x6811,a2,a2),f12(f6(a2,f147(a2,a2),x6811,a47),f12(f12(f4(x6811,f147(x6811,a2),a2),f52(x6811)),x6812))),f12(f12(f4(x6811,x6813,a2),f12(f6(x6813,f147(x6813,a2),x6811,a13),x6814)),x6815))),f12(f23(x6811,x6813,x6812,x6814),x6815))
% 1.00/1.28 [676]E(f21(x6761,x6762,f21(x6761,x6762,x6763,x6764,x6765),x6764,x6766),f21(x6761,x6762,x6763,x6764,x6766))
% 1.00/1.28 [652]E(f12(f12(f6(x6521,x6522,x6523,x6524),x6525),x6526),f12(x6524,f12(x6525,x6526)))
% 1.00/1.28 [664]E(f43(x6641,x6642,x6643,f43(x6644,x6641,x6645,x6646)),f43(x6644,x6642,f12(f6(x6641,x6642,x6644,x6643),x6645),x6646))
% 1.00/1.28 [635]E(f12(f12(f12(f4(x6351,x6352,x6353),x6354),x6355),x6356),f12(f12(x6354,x6356),x6355))
% 1.00/1.28 [636]E(f12(f12(f12(f18(x6361,x6362,x6363),x6364),x6365),x6366),f12(f12(x6364,x6366),f12(x6365,x6366)))
% 1.00/1.28 [668]E(f19(x6681,f147(x6682,a2),x6683,f12(f6(f147(x6684,a2),f147(x6682,a2),x6681,f41(x6684,x6682,x6685)),x6686)),f12(f41(x6684,x6682,x6685),f19(x6681,f147(x6684,a2),x6683,x6686)))
% 1.00/1.28 [695]P31(x6951)+P31(f12(a48,x6951))
% 1.00/1.28 [705]~P31(x7051)+~P31(f12(a48,x7051))
% 1.00/1.28 [1069]~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),a149),a154)),f12(a150,x10691)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),a153),a155)),f12(a151,x10691)))
% 1.00/1.28 [1070]P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),a149),a154)),f12(a150,x10701)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),a153),a155)),f12(a151,x10701)))
% 1.00/1.28 [991]P1(x9911)+P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),f133(x9911)),a7))
% 1.00/1.28 [992]P1(x9921)+P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),f142(x9921)),a7))
% 1.00/1.28 [993]P2(x9931)+P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),f56(x9931)),a7))
% 1.00/1.28 [1027]P2(x10271)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f55(x10271)),f60(x10271))),f12(x10271,f56(x10271))))
% 1.00/1.28 [1040]P31(f12(f12(f52(f147(f148(a145,a145),a2)),f40(a145,a145,x10401)),a5))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10401),a5))
% 1.00/1.28 [1060]~P31(f12(f12(f52(f147(f148(a145,a145),a2)),f40(a145,a145,x10601)),a5))+P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10601),a5))
% 1.00/1.28 [1133]~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11331),a5))+P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),f16(f147(f148(a145,a145),a2),a146,x11331)),a7))
% 1.00/1.28 [706]~P27(x7061)+P7(x7061,x7062,x7062)
% 1.00/1.28 [696]~P4(x6962)+P4(f147(x6961,x6962))
% 1.00/1.28 [697]~P4(x6972)+P25(f147(x6971,x6972))
% 1.00/1.28 [698]~P23(x6982)+P5(f147(x6981,x6982))
% 1.00/1.28 [699]~P26(x6992)+P26(f147(x6991,x6992))
% 1.00/1.28 [700]~P6(x7002)+P6(f147(x7001,x7002))
% 1.00/1.28 [701]~P27(x7012)+P27(f147(x7011,x7012))
% 1.00/1.28 [702]~P28(x7022)+P28(f147(x7021,x7022))
% 1.00/1.28 [703]~P30(x7032)+P30(f147(x7031,x7032))
% 1.00/1.28 [704]~P23(x7042)+P23(f147(x7041,x7042))
% 1.00/1.28 [708]~P25(x7081)+E(f28(x7081,x7082,x7082),x7082)
% 1.00/1.28 [712]~P26(x7121)+P7(x7121,f32(x7121),x7122)
% 1.00/1.28 [735]~P21(x7351,x7352)+P21(x7351,f40(x7351,x7351,x7352))
% 1.00/1.28 [760]P21(x7601,x7602)+~P21(x7601,f40(x7601,x7601,x7602))
% 1.00/1.28 [713]~P5(x7131)+E(f28(x7131,x7132,f32(x7131)),f32(x7131))
% 1.00/1.28 [714]~P5(x7141)+E(f28(x7141,f32(x7141),x7142),f32(x7141))
% 1.00/1.28 [715]~E(x7151,x7152)+P31(f12(f12(a13,x7151),x7152))
% 1.00/1.28 [730]E(x7301,x7302)+~P31(f12(f12(a13,x7301),x7302))
% 1.00/1.28 [731]P31(x7311)+~P31(f12(f12(a47,x7312),x7311))
% 1.00/1.28 [732]P31(x7321)+~P31(f12(f12(a47,x7321),x7322))
% 1.00/1.28 [733]E(x7331,x7332)+~E(f12(x7331,f54(x7332,x7331)),f12(x7332,f54(x7332,x7331)))
% 1.00/1.28 [734]P3(x7341,x7342)+~E(f12(x7341,f75(x7342,x7341)),f12(f75(x7342,x7341),x7342))
% 1.00/1.28 [776]~P7(f147(x7762,a2),x7761,f32(f147(x7762,a2)))+E(x7761,f32(f147(x7762,a2)))
% 1.00/1.28 [951]E(x9511,x9512)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x9511),x9512)),f66(x9512,x9511)))
% 1.00/1.28 [1022]P21(x10221,x10222)+P31(f12(f12(f52(f148(x10221,x10221)),f12(f12(f37(x10221,x10221),f106(x10222,x10221)),f106(x10222,x10221))),f46(x10221,x10222)))
% 1.00/1.28 [1023]P21(x10231,x10232)+P31(f12(f12(f52(f148(x10231,x10231)),f12(f12(f37(x10231,x10231),f117(x10232,x10231)),f117(x10232,x10231))),f46(x10231,x10232)))
% 1.00/1.28 [780]E(x7801,f32(f147(x7802,a2)))+P31(f12(f12(f52(x7802),f105(x7801,x7802)),x7801))
% 1.00/1.28 [781]E(x7811,f32(f147(x7812,a2)))+P31(f12(f12(f52(x7812),f125(x7811,x7812)),x7811))
% 1.00/1.28 [916]E(x9161,x9162)+P31(f12(f12(f52(f147(f148(a145,a145),a2)),f66(x9161,x9162)),a5))
% 1.00/1.28 [974]P2(x9741)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f55(x9741)),f60(x9741))),f12(f56(x9741),x9742)))
% 1.00/1.28 [1000]P3(x10001,x10002)+P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),f75(x10002,x10001)),a7))
% 1.00/1.28 [1020]P18(x10201,x10202)+P31(f12(f12(f52(f148(x10201,x10201)),f12(f12(f37(x10201,x10201),f61(x10202,x10201)),f61(x10202,x10201))),x10202))
% 1.00/1.28 [1100]P13(x11001,x11002)+~P31(f12(f12(f52(f148(x11001,x11001)),f12(f12(f37(x11001,x11001),f69(x11002,x11001)),f69(x11002,x11001))),x11002))
% 1.00/1.28 [1015]P31(f12(f12(f52(f147(f148(a145,a145),a2)),f11(x10151,x10152)),a5))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10151),a5))
% 1.00/1.28 [1016]P31(f12(f12(f52(f147(f148(a145,a145),a2)),f10(x10161,x10162)),a5))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10161),a5))
% 1.00/1.28 [716]~E(x7163,x7162)+P7(f147(x7161,a2),x7162,x7163)
% 1.00/1.28 [721]~E(x7212,x7213)+P7(f147(x7211,a2),x7212,x7213)
% 1.00/1.28 [725]~P4(x7251)+E(f28(x7251,x7252,x7253),f28(x7251,x7253,x7252))
% 1.00/1.28 [727]~P25(x7271)+E(f28(x7271,x7272,x7273),f28(x7271,x7273,x7272))
% 1.00/1.28 [742]~P4(x7421)+P7(x7421,f28(x7421,x7422,x7423),x7423)
% 1.00/1.28 [743]~P25(x7431)+P7(x7431,f28(x7431,x7432,x7433),x7433)
% 1.00/1.28 [744]~P4(x7441)+P7(x7441,f28(x7441,x7442,x7443),x7442)
% 1.00/1.28 [745]~P25(x7451)+P7(x7451,f28(x7451,x7452,x7453),x7452)
% 1.00/1.28 [773]P20(x7731,x7732,x7733)+~E(f76(x7733,x7732,x7731),f77(x7733,x7732,x7731))
% 1.00/1.28 [774]P19(x7741,x7742,x7743)+~E(f87(x7743,x7742,x7741),f88(x7743,x7742,x7741))
% 1.00/1.28 [775]P19(x7751,x7752,x7753)+~E(f99(x7753,x7752,x7751),f100(x7753,x7752,x7751))
% 1.00/1.28 [790]~P20(x7901,x7902,x7903)+P20(x7901,x7902,f40(x7901,x7901,x7903))
% 1.00/1.28 [791]~P14(x7911,x7912,x7913)+P14(x7911,x7912,f40(x7911,x7911,x7913))
% 1.00/1.28 [801]P20(x8011,x8012,x8013)+~P20(x8011,x8012,f40(x8011,x8011,x8013))
% 1.00/1.28 [802]P14(x8021,x8022,x8023)+~P14(x8021,x8022,f40(x8021,x8021,x8023))
% 1.00/1.28 [741]~E(x7412,x7413)+P31(f12(f12(f52(x7411),x7412),f12(a13,x7413)))
% 1.00/1.28 [758]~P7(f147(x7581,a2),x7583,x7582)+E(f28(f147(x7581,a2),x7582,x7583),x7583)
% 1.00/1.28 [759]~P7(f147(x7591,a2),x7592,x7593)+E(f28(f147(x7591,a2),x7592,x7593),x7592)
% 1.00/1.28 [766]E(f86(x7661,x7662,x7663),f127(x7661,x7662,x7663))+E(f28(f147(x7663,a2),x7662,x7661),f32(f147(x7663,a2)))
% 1.00/1.28 [768]~P4(x7681)+E(f28(x7681,x7682,f28(x7681,x7682,x7683)),f28(x7681,x7682,x7683))
% 1.00/1.28 [770]~P25(x7701)+E(f28(x7701,x7702,f28(x7701,x7702,x7703)),f28(x7701,x7702,x7703))
% 1.00/1.28 [786]E(x7861,x7862)+~P31(f12(f12(f52(x7863),x7861),f12(a13,x7862)))
% 1.00/1.28 [787]E(f15(f147(x7871,a2),x7872,x7873),x7872)+~E(f28(f147(x7871,a2),x7872,x7873),f32(f147(x7871,a2)))
% 1.00/1.28 [815]P7(f147(x8151,a2),f49(x8151,x8152),f49(x8151,x8153))+~P7(f147(x8151,f147(x8151,a2)),x8153,x8152)
% 1.00/1.28 [823]P7(f147(x8231,a2),f50(x8231,x8232),f50(x8231,x8233))+~P7(f147(f148(x8231,x8231),a2),x8233,x8232)
% 1.00/1.28 [841]~P7(f147(f148(x8411,x8411),a2),x8412,x8413)+P7(f147(f148(x8411,x8411),a2),f34(x8411,x8412),f34(x8411,x8413))
% 1.00/1.28 [858]~P7(f147(f148(x8581,x8581),a2),x8582,f34(x8581,x8583))+P7(f147(f148(x8581,x8581),a2),f34(x8581,x8582),f34(x8581,x8583))
% 1.00/1.28 [881]~P31(f12(f49(x8811,x8812),f80(x8813,x8812,x8811)))+P31(f12(f49(x8811,x8812),x8813))
% 1.00/1.28 [882]~P31(f12(f49(x8821,x8822),f83(x8823,x8822,x8821)))+P31(f12(f49(x8821,x8822),x8823))
% 1.00/1.28 [955]E(f12(f12(f37(x9551,x9551),f67(x9552,x9553,x9551)),f67(x9552,x9553,x9551)),x9553)+~P31(f12(f12(f52(f148(x9551,x9551)),x9553),f35(x9551,x9552)))
% 1.00/1.28 [961]~P31(f12(f12(f52(x9611),f78(x9613,x9612,x9611)),f50(x9611,x9613)))+P31(f12(f12(f52(x9611),x9612),f50(x9611,x9613)))
% 1.00/1.28 [962]~P31(f12(f12(f52(x9621),f81(x9623,x9622,x9621)),f50(x9621,x9623)))+P31(f12(f12(f52(x9621),x9622),f50(x9621,x9623)))
% 1.00/1.28 [963]~P31(f12(f12(f52(x9631),f82(x9633,x9632,x9631)),f50(x9631,x9633)))+P31(f12(f12(f52(x9631),x9632),f50(x9631,x9633)))
% 1.00/1.28 [1024]~P21(x10241,x10242)+~P31(f12(f12(f52(f148(x10241,x10241)),f12(f12(f37(x10241,x10241),x10243),x10243)),f46(x10241,x10242)))
% 1.00/1.28 [723]~P26(x7232)+E(f12(f32(f147(x7231,x7232)),x7233),f32(x7232))
% 1.00/1.28 [740]~P31(f12(x7403,x7402))+P31(f12(f12(f52(x7401),x7402),x7403))
% 1.00/1.28 [746]~E(x7462,f32(f147(x7461,a2)))+E(f12(f12(f17(x7461),x7462),x7463),f32(f147(f147(x7461,a2),a2)))
% 1.00/1.28 [747]~E(x7472,f32(f147(x7471,a2)))+E(f32(f147(f147(x7471,a2),a2)),f12(f12(f17(x7471),x7472),x7473))
% 1.00/1.28 [755]P31(f12(x7551,x7552))+~P31(f12(f12(f52(x7553),x7552),x7551))
% 1.00/1.28 [761]E(f36(x7611,x7612,x7613),f32(f147(x7611,a2)))+~E(x7613,f32(f147(f148(x7611,x7612),a2)))
% 1.00/1.28 [762]~E(f36(x7622,x7623,x7621),f32(f147(x7622,a2)))+E(x7621,f32(f147(f148(x7622,x7623),a2)))
% 1.00/1.28 [765]~E(x7651,f32(f147(x7652,a2)))+~P31(f12(f12(f52(x7652),x7653),x7651))
% 1.00/1.28 [767]E(f12(f12(f42(x7671),x7672),x7673),x7673)+~P31(f12(f12(f52(x7671),x7672),x7673))
% 1.00/1.28 [771]E(x7711,f32(f147(x7712,a2)))+~E(f12(f12(f17(x7712),x7711),x7713),f32(f147(f147(x7712,a2),a2)))
% 1.00/1.28 [772]E(x7721,f32(f147(x7722,a2)))+~E(f32(f147(f147(x7722,a2),a2)),f12(f12(f17(x7722),x7721),x7723))
% 1.00/1.28 [794]P7(f147(f148(x7941,x7941),a2),x7942,x7943)+~E(x7942,f32(f147(f148(x7941,x7941),a2)))
% 1.00/1.28 [803]E(f36(x8031,x8032,f40(x8032,x8031,x8033)),f32(f147(x8031,a2)))+~E(x8033,f32(f147(f148(x8032,x8031),a2)))
% 1.00/1.28 [816]E(x8161,x8162)+~E(f12(f12(f42(x8163),x8161),f32(f147(x8163,a2))),f12(f12(f42(x8163),x8162),f32(f147(x8163,a2))))
% 1.00/1.28 [836]~E(f36(x8363,x8362,f40(x8362,x8363,x8361)),f32(f147(x8363,a2)))+E(x8361,f32(f147(f148(x8362,x8363),a2)))
% 1.00/1.28 [849]E(x8491,f32(f147(x8492,a2)))+E(f24(x8492,x8493,x8491,f32(f147(x8493,a2))),f32(f147(f147(x8492,x8493),a2)))
% 1.00/1.28 [877]E(f33(x8771,x8772,x8773),x8772)+~P7(f147(x8771,a2),x8773,f12(f12(f42(x8771),x8772),f32(f147(x8771,a2))))
% 1.00/1.28 [894]P20(x8941,x8942,x8943)+P31(f12(f12(f52(x8941),f77(x8943,x8942,x8941)),x8942))
% 1.00/1.28 [895]P20(x8951,x8952,x8953)+P31(f12(f12(f52(x8951),f76(x8953,x8952,x8951)),x8952))
% 1.00/1.28 [896]P31(f12(f49(x8961,x8962),x8963))+P31(f12(f12(x8962,f80(x8963,x8962,x8961)),x8963))
% 1.00/1.28 [897]P31(f12(f49(x8971,x8972),x8973))+P31(f12(f12(x8972,f83(x8973,x8972,x8971)),x8973))
% 1.00/1.28 [906]E(f28(f147(x9061,a2),x9062,x9063),f32(f147(x9061,a2)))+P31(f12(f12(f52(x9061),f86(x9063,x9062,x9061)),x9062))
% 1.00/1.28 [907]E(f28(f147(x9071,a2),x9072,x9073),f32(f147(x9071,a2)))+P31(f12(f12(f52(x9071),f127(x9073,x9072,x9071)),x9073))
% 1.00/1.28 [911]~P7(f147(x9111,a2),f12(f41(x9111,x9111,x9112),x9113),x9113)+E(f12(f41(x9111,x9111,f34(x9111,x9112)),x9113),x9113)
% 1.00/1.28 [972]E(x9721,x9722)+~E(f12(f12(f4(x9723,f147(x9723,a2),a2),f52(x9723)),x9721),f12(f12(f4(x9723,f147(x9723,a2),a2),f52(x9723)),x9722))
% 1.00/1.28 [973]~P31(f12(f12(f52(f148(x9731,x9731)),x9733),f35(x9731,x9732)))+P31(f12(f12(f52(x9731),f67(x9732,x9733,x9731)),x9732))
% 1.00/1.28 [1009]~P7(f147(x10091,a2),x10092,x10093)+P7(f147(x10091,a2),f12(f12(f4(x10091,f147(x10091,a2),a2),f52(x10091)),x10092),f12(f12(f4(x10091,f147(x10091,a2),a2),f52(x10091)),x10093))
% 1.00/1.28 [1066]~E(f28(f147(f148(x10661,x10661),a2),f40(x10661,x10661,x10662),f34(x10661,x10662)),f32(f147(f148(x10661,x10661),a2)))+~P31(f12(f12(f52(f148(x10661,x10661)),f12(f12(f37(x10661,x10661),x10663),x10663)),f46(x10661,x10662)))
% 1.00/1.28 [1086]P7(f147(x10861,a2),x10862,x10863)+~P7(f147(x10861,a2),f12(f12(f4(x10861,f147(x10861,a2),a2),f52(x10861)),x10862),f12(f12(f4(x10861,f147(x10861,a2),a2),f52(x10861)),x10863))
% 1.00/1.28 [875]E(f15(f147(x8751,a2),f12(f12(f42(x8751),x8752),x8753),f12(f12(f42(x8751),x8752),f32(f147(x8751,a2)))),x8753)+P31(f12(f12(f52(x8751),x8752),x8753))
% 1.00/1.28 [944]E(x9441,x9442)+~P31(f12(f12(f52(x9443),x9441),f12(f12(f42(x9443),x9442),f32(f147(x9443,a2)))))
% 1.00/1.28 [945]P31(f12(f12(f52(f148(x9451,x9451)),x9452),f34(x9451,x9453)))+~P31(f12(f12(f52(f148(x9451,x9451)),x9452),x9453))
% 1.00/1.28 [946]P31(f12(f12(f52(f148(x9461,x9461)),x9462),f46(x9461,x9463)))+~P31(f12(f12(f52(f148(x9461,x9461)),x9462),x9463))
% 1.00/1.28 [1165]P19(x11651,x11652,x11653)+P31(f12(f12(f52(f148(x11651,x11652)),f12(f12(f37(x11651,x11652),f89(x11653,x11652,x11651)),f88(x11653,x11652,x11651))),x11653))
% 1.00/1.28 [1166]P19(x11661,x11662,x11663)+P31(f12(f12(f52(f148(x11661,x11662)),f12(f12(f37(x11661,x11662),f89(x11663,x11662,x11661)),f87(x11663,x11662,x11661))),x11663))
% 1.00/1.28 [1167]P19(x11671,x11672,x11673)+P31(f12(f12(f52(f148(x11671,x11672)),f12(f12(f37(x11671,x11672),f101(x11673,x11672,x11671)),f100(x11673,x11672,x11671))),x11673))
% 1.00/1.28 [1168]P19(x11681,x11682,x11683)+P31(f12(f12(f52(f148(x11681,x11682)),f12(f12(f37(x11681,x11682),f101(x11683,x11682,x11681)),f99(x11683,x11682,x11681))),x11683))
% 1.00/1.28 [1206]P20(x12061,x12062,x12063)+~P31(f12(f12(f52(f148(x12061,x12061)),f12(f12(f37(x12061,x12061),f77(x12063,x12062,x12061)),f76(x12063,x12062,x12061))),x12063))
% 1.00/1.28 [1207]P20(x12071,x12072,x12073)+~P31(f12(f12(f52(f148(x12071,x12071)),f12(f12(f37(x12071,x12071),f76(x12073,x12072,x12071)),f77(x12073,x12072,x12071))),x12073))
% 1.00/1.28 [933]E(f12(f12(f42(x9331),x9332),f15(f147(x9331,a2),x9333,f12(f12(f42(x9331),x9332),f32(f147(x9331,a2))))),x9333)+~P31(f12(f12(f52(x9331),x9332),x9333))
% 1.00/1.28 [959]~P13(x9591,x9593)+P31(f12(f12(f52(f148(x9591,x9591)),f12(f12(f37(x9591,x9591),x9592),x9592)),x9593))
% 1.00/1.28 [1017]~P18(x10171,x10172)+~P31(f12(f12(f52(f148(x10171,x10171)),f12(f12(f37(x10171,x10171),x10173),x10173)),x10172))
% 1.00/1.28 [1119]P31(f12(f12(f52(x11191),x11192),f50(x11191,x11193)))+P31(f12(f12(f52(f148(x11191,x11191)),f12(f12(f37(x11191,x11191),f78(x11193,x11192,x11191)),x11192)),x11193))
% 1.00/1.28 [1120]P31(f12(f12(f52(x11201),x11202),f50(x11201,x11203)))+P31(f12(f12(f52(f148(x11201,x11201)),f12(f12(f37(x11201,x11201),f81(x11203,x11202,x11201)),x11202)),x11203))
% 1.00/1.28 [1121]P31(f12(f12(f52(x11211),x11212),f50(x11211,x11213)))+P31(f12(f12(f52(f148(x11211,x11211)),f12(f12(f37(x11211,x11211),f82(x11213,x11212,x11211)),x11212)),x11213))
% 1.00/1.29 [1059]P7(f147(x10591,a2),x10592,f12(f12(f42(x10591),x10593),f32(f147(x10591,a2))))+E(f14(x10591,f12(f12(f4(x10591,f147(x10591,a2),a2),f52(x10591)),f15(f147(x10591,a2),x10592,f12(f12(f42(x10591),x10593),f32(f147(x10591,a2)))))),f33(x10591,x10593,x10592))
% 1.00/1.29 [1270]E(x12701,x12702)+P31(f12(f12(f27(x12703,x12703,f12(f6(f147(x12703,a2),f147(x12703,a2),x12703,f6(a2,a2,x12703,a48)),a13)),x12701),x12702))
% 1.00/1.29 [1281]~E(x12811,x12812)+~P31(f12(f12(f27(x12813,x12813,f12(f6(f147(x12813,a2),f147(x12813,a2),x12813,f6(a2,a2,x12813,a48)),a13)),x12811),x12812))
% 1.00/1.29 [1308]~P31(f12(f12(f52(x13081),x13083),f50(x13081,x13082)))+P31(f12(f49(x13081,f12(f12(f4(x13081,f147(f148(x13081,x13081),a2),f147(x13081,a2)),f12(f6(f147(x13081,f147(f147(f148(x13081,x13081),a2),a2)),f147(f147(f148(x13081,x13081),a2),f147(x13081,a2)),x13081,f4(x13081,f147(f148(x13081,x13081),a2),a2)),f12(f6(f147(x13081,f148(x13081,x13081)),f147(x13081,f147(f147(f148(x13081,x13081),a2),a2)),x13081,f6(f148(x13081,x13081),f147(f147(f148(x13081,x13081),a2),a2),x13081,f52(f148(x13081,x13081)))),f37(x13081,x13081)))),x13082)),x13083))
% 1.00/1.29 [1309]P31(f12(f12(f52(x13091),x13092),f50(x13091,x13093)))+~P31(f12(f49(x13091,f12(f12(f4(x13091,f147(f148(x13091,x13091),a2),f147(x13091,a2)),f12(f6(f147(x13091,f147(f147(f148(x13091,x13091),a2),a2)),f147(f147(f148(x13091,x13091),a2),f147(x13091,a2)),x13091,f4(x13091,f147(f148(x13091,x13091),a2),a2)),f12(f6(f147(x13091,f148(x13091,x13091)),f147(x13091,f147(f147(f148(x13091,x13091),a2),a2)),x13091,f6(f148(x13091,x13091),f147(f147(f148(x13091,x13091),a2),a2),x13091,f52(f148(x13091,x13091)))),f37(x13091,x13091)))),x13093)),x13092))
% 1.00/1.29 [957]P8(x9571,x9572,x9573,x9574)+~E(f128(x9574,x9573,x9572,x9571),f131(x9574,x9573,x9572,x9571))
% 1.00/1.29 [975]~P8(x9751,x9752,x9753,x9754)+P8(x9751,x9752,f25(x9751,x9752,x9753,x9754),x9754)
% 1.00/1.29 [1001]P8(x10011,x10012,x10013,x10014)+~P8(x10011,x10012,f25(x10011,x10012,x10013,x10014),x10014)
% 1.00/1.29 [1012]~P8(x10122,x10121,x10124,x10123)+P8(x10121,x10122,f23(x10122,x10121,x10123,x10124),f43(x10122,x10121,x10124,x10123))
% 1.00/1.29 [811]~E(x8114,f32(f147(x8111,a2)))+E(f43(x8111,x8112,x8113,x8114),f32(f147(x8112,a2)))
% 1.00/1.29 [817]~P4(x8171)+E(f28(x8171,x8172,f28(x8171,x8173,x8174)),f28(x8171,x8173,f28(x8171,x8172,x8174)))
% 1.00/1.29 [819]~P25(x8191)+E(f28(x8191,x8192,f28(x8191,x8193,x8194)),f28(x8191,x8193,f28(x8191,x8192,x8194)))
% 1.00/1.29 [820]~P4(x8201)+E(f28(x8201,f28(x8201,x8202,x8203),x8204),f28(x8201,x8202,f28(x8201,x8203,x8204)))
% 1.00/1.29 [822]~P25(x8221)+E(f28(x8221,f28(x8221,x8222,x8223),x8224),f28(x8221,x8222,f28(x8221,x8223,x8224)))
% 1.00/1.29 [862]~E(f43(x8622,x8623,x8624,x8621),f32(f147(x8623,a2)))+E(x8621,f32(f147(x8622,a2)))
% 1.00/1.29 [876]P7(f147(x8761,a2),f36(x8761,x8762,x8763),f36(x8761,x8762,x8764))+~P7(f147(f148(x8761,x8762),a2),x8763,x8764)
% 1.00/1.29 [960]E(f25(x9601,x9602,x9603,x9604),x9603)+~P31(f12(f12(f52(f147(x9601,x9602)),x9603),f20(x9601,x9602,x9604)))
% 1.00/1.29 [971]~E(x9712,x9713)+P31(f12(f12(f52(f148(x9711,x9711)),f12(f12(f37(x9711,x9711),x9712),x9713)),f34(x9711,x9714)))
% 1.00/1.29 [983]P8(x9834,x9833,x9831,x9832)+E(f12(x9831,f128(x9832,x9831,x9833,x9834)),f12(x9831,f131(x9832,x9831,x9833,x9834)))
% 1.00/1.29 [1005]~E(x10051,x10052)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10053),x10051)),f11(x10054,x10052)))
% 1.00/1.29 [1006]~E(x10061,x10062)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10061),x10063)),f10(x10064,x10062)))
% 1.00/1.29 [1013]~P8(x10132,x10131,x10134,x10133)+E(f43(x10131,x10132,f23(x10132,x10131,x10133,x10134),f43(x10132,x10131,x10134,x10133)),x10133)
% 1.00/1.29 [1021]E(x10211,x10212)+~P31(f12(f12(f52(f148(x10213,x10213)),f12(f12(f37(x10213,x10213),x10211),x10212)),f35(x10213,x10214)))
% 1.00/1.29 [1085]E(f12(f12(f37(x10851,x10852),f62(x10853,x10854,x10852,x10851)),f63(x10853,x10854,x10852,x10851)),x10854)+~P31(f12(f12(f52(f148(x10851,x10852)),x10854),f40(x10852,x10851,x10853)))
% 1.00/1.29 [1108]~P31(f12(f12(f52(f148(x11081,x11081)),f12(f12(f37(x11081,x11081),x11082),x11083)),f46(x11081,x11084)))+P31(f12(f12(f52(f148(x11081,x11081)),f12(f12(f37(x11081,x11081),x11082),x11083)),f34(x11081,x11084)))
% 1.00/1.29 [1201]P15(x12011,x12012,x12013,x12014)+~E(f12(f12(x12014,f118(x12014,x12013,x12012,x12011)),f120(x12014,x12013,x12012,x12011)),f12(f12(x12014,f121(x12014,x12013,x12012,x12011)),f120(x12014,x12013,x12012,x12011)))
% 1.00/1.29 [1220]~P31(f12(f12(f52(f148(x12201,x12201)),f12(f12(f37(x12201,x12201),x12202),x12204)),f46(x12201,x12203)))+P31(f12(f12(f52(f148(x12201,x12201)),f12(f12(f37(x12201,x12201),x12202),f116(x12203,x12204,x12202,x12201))),f34(x12201,x12203)))
% 1.00/1.29 [1244]~P31(f12(f12(f52(f148(x12441,x12441)),f12(f12(f37(x12441,x12441),x12444),x12443)),f46(x12441,x12442)))+P31(f12(f12(f52(f148(x12441,x12441)),f12(f12(f37(x12441,x12441),f115(x12442,x12443,x12444,x12441)),x12443)),f34(x12441,x12442)))
% 1.00/1.29 [800]~P7(f147(x8001,a2),x8002,x8004)+P7(f147(x8001,a2),x8002,f12(f12(f42(x8001),x8003),x8004))
% 1.00/1.29 [831]P7(f147(x8311,a2),x8312,x8313)+~P7(f147(x8311,a2),f12(f12(f42(x8311),x8314),x8312),x8313)
% 1.00/1.29 [842]~P7(f147(x8421,a2),f12(f12(f42(x8421),x8422),x8424),x8423)+P31(f12(f12(f52(x8421),x8422),x8423))
% 1.00/1.29 [848]~P7(f147(x8481,a2),x8483,x8484)+P7(f147(x8481,a2),f12(f12(f42(x8481),x8482),x8483),f12(f12(f42(x8481),x8482),x8484))
% 1.00/1.29 [873]E(x8731,f32(f147(x8732,a2)))+E(f43(x8732,x8733,f16(x8733,x8732,x8734),x8731),f12(f12(f42(x8733),x8734),f32(f147(x8733,a2))))
% 1.00/1.29 [889]P31(f12(x8891,x8892))+~P31(f12(f28(f147(x8893,a2),x8894,x8891),x8892))
% 1.00/1.29 [890]P31(f12(x8901,x8902))+~P31(f12(f28(f147(x8903,a2),x8901,x8904),x8902))
% 1.00/1.29 [892]~P16(x8923,x8924,x8921,x8922)+P31(f12(f12(x8921,f65(x8922,x8921)),x8922))
% 1.00/1.29 [921]P31(f12(f12(f52(x9211),x9212),x9213))+~P31(f12(f12(f52(x9211),x9212),f28(f147(x9211,a2),x9214,x9213)))
% 1.00/1.29 [924]P31(f12(f12(f52(x9241),x9242),x9243))+~P31(f12(f12(f52(x9241),x9242),f28(f147(x9241,a2),x9243,x9244)))
% 1.00/1.29 [927]P31(f12(f12(f52(x9271),x9272),x9273))+~P31(f12(f12(f52(x9271),x9272),f15(f147(x9271,a2),x9273,x9274)))
% 1.00/1.29 [938]~P31(f12(f12(f52(x9381),x9382),x9383))+~P31(f12(f12(f52(x9381),x9382),f15(f147(x9381,a2),x9384,x9383)))
% 1.00/1.29 [958]E(f12(x9581,f126(x9581,x9582,x9583,x9584)),f32(f147(x9583,a2)))+~E(f22(x9584,x9583,x9582,x9581),f32(f147(f147(x9584,x9583),a2)))
% 1.00/1.29 [1032]~P31(f12(f12(f52(f148(x10321,x10321)),f12(f12(f37(x10321,x10321),x10322),x10324)),f35(x10321,x10323)))+P31(f12(f12(f52(x10321),x10322),x10323))
% 1.00/1.29 [1071]P8(x10711,x10712,x10713,x10714)+P31(f12(f12(f52(x10711),f128(x10714,x10713,x10712,x10711)),x10714))
% 1.00/1.29 [1072]P8(x10721,x10722,x10723,x10724)+P31(f12(f12(f52(x10721),f131(x10724,x10723,x10722,x10721)),x10724))
% 1.00/1.29 [1099]~E(f22(x10991,x10994,x10993,x10992),f32(f147(f147(x10991,x10994),a2)))+P31(f12(f12(f52(x10991),f126(x10992,x10993,x10994,x10991)),x10993))
% 1.00/1.29 [1134]~P31(f12(f12(f52(f148(x11341,x11341)),f12(f12(f37(x11341,x11341),x11343),x11342)),f34(x11341,x11344)))+P31(f12(f12(f52(f148(x11341,x11341)),f12(f12(f37(x11341,x11341),x11342),x11343)),f34(x11341,f40(x11341,x11341,x11344))))
% 1.00/1.29 [1149]P31(f12(f12(f52(f148(x11491,x11491)),f12(f12(f37(x11491,x11491),x11492),x11493)),f34(x11491,x11494)))+~P31(f12(f12(f52(f148(x11491,x11491)),f12(f12(f37(x11491,x11491),x11493),x11492)),f34(x11491,f40(x11491,x11491,x11494))))
% 1.00/1.29 [1164]~P31(f12(f12(f52(f148(x11641,x11641)),f12(f12(f37(x11641,x11641),x11642),x11643)),f40(x11641,x11641,f46(x11641,x11644))))+P31(f12(f12(f52(f148(x11641,x11641)),f12(f12(f37(x11641,x11641),x11642),x11643)),f46(x11641,f40(x11641,x11641,x11644))))
% 1.00/1.29 [1169]~P31(f12(f12(f52(f148(x11691,x11691)),f12(f12(f37(x11691,x11691),x11692),x11693)),f46(x11691,f40(x11691,x11691,x11694))))+P31(f12(f12(f52(f148(x11691,x11691)),f12(f12(f37(x11691,x11691),x11692),x11693)),f40(x11691,x11691,f46(x11691,x11694))))
% 1.00/1.29 [779]~E(x7792,x7794)+P31(f12(f12(f12(f42(x7791),x7792),x7793),x7794))
% 1.00/1.29 [795]~P31(f12(x7953,x7954))+P31(f12(f12(f12(f42(x7951),x7952),x7953),x7954))
% 1.00/1.29 [805]~E(x8052,x8053)+P31(f12(f12(f52(x8051),x8052),f12(f12(f42(x8051),x8053),x8054)))
% 1.00/1.29 [833]E(f28(f147(x8331,a2),x8332,f12(f12(f42(x8331),x8333),x8334)),f28(f147(x8331,a2),x8332,x8334))+P31(f12(f12(f52(x8331),x8333),x8332))
% 1.00/1.29 [835]E(f28(f147(x8351,a2),f12(f12(f42(x8351),x8352),x8353),x8354),f28(f147(x8351,a2),x8353,x8354))+P31(f12(f12(f52(x8351),x8352),x8354))
% 1.00/1.29 [856]E(f15(f147(x8561,a2),f12(f12(f42(x8561),x8562),x8563),x8564),f15(f147(x8561,a2),x8563,x8564))+~P31(f12(f12(f52(x8561),x8562),x8564))
% 1.00/1.29 [872]~P31(f12(f12(f52(x8721),x8722),x8724))+P31(f12(f12(f52(x8721),x8722),f12(f12(f42(x8721),x8723),x8724)))
% 1.00/1.29 [874]E(f15(f147(x8741,a2),f12(f12(f42(x8741),x8742),x8743),x8744),f12(f12(f42(x8741),x8742),f15(f147(x8741,a2),x8743,x8744)))+P31(f12(f12(f52(x8741),x8742),x8744))
% 1.00/1.29 [884]E(f28(f147(x8841,a2),x8842,f12(f12(f42(x8841),x8843),x8844)),f12(f12(f42(x8841),x8843),f28(f147(x8841,a2),x8842,x8844)))+~P31(f12(f12(f52(x8841),x8843),x8842))
% 1.00/1.29 [886]E(f28(f147(x8861,a2),f12(f12(f42(x8861),x8862),x8863),x8864),f12(f12(f42(x8861),x8862),f28(f147(x8861,a2),x8863,x8864)))+~P31(f12(f12(f52(x8861),x8862),x8864))
% 1.00/1.29 [1113]P31(f12(f12(f52(x11131),f143(x11132,x11133,x11134,x11131)),x11133))+~P31(f12(f12(f52(f147(x11131,a2)),x11134),f12(f12(f17(x11131),x11133),x11132)))
% 1.00/1.29 [1130]E(f12(f41(x11301,x11301,x11302),f12(f12(f42(x11301),f143(x11302,x11303,x11304,x11301)),f32(f147(x11301,a2)))),x11304)+~P31(f12(f12(f52(f147(x11301,a2)),x11304),f12(f12(f17(x11301),x11303),x11302)))
% 1.00/1.29 [1136]~P31(f12(f12(f52(x11361),x11363),x11364))+P31(f12(f12(f52(f147(x11361,a2)),f12(f41(x11361,x11361,x11362),f12(f12(f42(x11361),x11363),f32(f147(x11361,a2))))),f12(f12(f17(x11361),x11364),x11362)))
% 1.00/1.29 [1203]~P31(f12(f12(f52(x12031),x12033),f36(x12031,x12032,x12034)))+P31(f12(f12(f52(f148(x12031,x12032)),f12(f12(f37(x12031,x12032),x12033),f73(x12034,x12032,x12033,x12031))),x12034))
% 1.00/1.29 [1204]~P31(f12(f12(f52(x12041),x12043),f36(x12041,x12042,x12044)))+P31(f12(f12(f52(f148(x12041,x12042)),f12(f12(f37(x12041,x12042),x12043),f74(x12044,x12042,x12043,x12041))),x12044))
% 1.00/1.29 [1218]~P31(f12(f12(f52(f148(x12181,x12181)),f12(f12(f37(x12181,x12181),x12182),x12184)),f46(x12181,x12183)))+P31(f12(f12(f52(f148(x12181,x12181)),f12(f12(f37(x12181,x12181),x12182),f115(x12183,x12184,x12182,x12181))),x12183))
% 1.00/1.29 [1258]~P31(f12(f12(f52(f148(x12582,x12581)),x12584),f40(x12581,x12582,x12583)))+P31(f12(f12(f52(f148(x12581,x12582)),f12(f12(f37(x12581,x12582),f63(x12583,x12584,x12581,x12582)),f62(x12583,x12584,x12581,x12582))),x12583))
% 1.00/1.29 [1019]P21(x10191,x10192)+~P21(x10191,f12(f12(f42(f148(x10191,x10191)),f12(f12(f37(x10191,x10191),x10193),x10194)),x10192))
% 1.00/1.29 [1140]~P31(f12(f12(f52(f148(x11401,x11401)),f12(f12(f37(x11401,x11401),x11403),x11402)),f34(x11401,x11404)))+~P21(x11401,f12(f12(f42(f148(x11401,x11401)),f12(f12(f37(x11401,x11401),x11402),x11403)),x11404))
% 1.00/1.29 [1215]~P31(f12(f12(f52(x12151),x12154),f28(f147(x12151,a2),x12152,x12153)))+P31(f12(f28(f147(x12151,a2),f12(f12(f4(x12151,f147(x12151,a2),a2),f52(x12151)),x12152),f12(f12(f4(x12151,f147(x12151,a2),a2),f52(x12151)),x12153)),x12154))
% 1.00/1.29 [1233]P31(f12(f12(f52(x12331),x12332),f28(f147(x12331,a2),x12333,x12334)))+~P31(f12(f28(f147(x12331,a2),f12(f12(f4(x12331,f147(x12331,a2),a2),f52(x12331)),x12333),f12(f12(f4(x12331,f147(x12331,a2),a2),f52(x12331)),x12334)),x12332))
% 1.00/1.29 [1235]~P31(f12(f12(f52(x12352),x12354),f36(x12352,x12351,f40(x12351,x12352,x12353))))+P31(f12(f12(f52(f148(x12351,x12352)),f12(f12(f37(x12351,x12352),f68(x12353,x12351,x12354,x12352)),x12354)),x12353))
% 1.00/1.29 [1236]~P31(f12(f12(f52(x12362),x12364),f36(x12362,x12361,f40(x12361,x12362,x12363))))+P31(f12(f12(f52(f148(x12361,x12362)),f12(f12(f37(x12361,x12362),f70(x12363,x12361,x12364,x12362)),x12364)),x12363))
% 1.00/1.29 [1240]~P31(f12(f12(f52(f148(x12401,x12401)),f12(f12(f37(x12401,x12401),x12404),x12403)),f46(x12401,x12402)))+P31(f12(f12(f52(f148(x12401,x12401)),f12(f12(f37(x12401,x12401),f116(x12402,x12403,x12404,x12401)),x12403)),x12402))
% 1.00/1.29 [1295]P17(x12951,x12952,f12(f12(f4(x12951,f147(f148(x12951,x12952),a2),f147(x12952,a2)),f12(f6(f147(x12952,f147(f147(f148(x12951,x12952),a2),a2)),f147(f147(f148(x12951,x12952),a2),f147(x12952,a2)),x12951,f4(x12952,f147(f148(x12951,x12952),a2),a2)),f12(f6(f147(x12952,f148(x12951,x12952)),f147(x12952,f147(f147(f148(x12951,x12952),a2),a2)),x12951,f6(f148(x12951,x12952),f147(f147(f148(x12951,x12952),a2),a2),x12952,f52(f148(x12951,x12952)))),f37(x12951,x12952)))),x12953),x12954)+~P31(f12(f12(f52(x12951),x12954),f36(x12951,x12952,x12953)))
% 1.00/1.29 [1296]P16(x12961,x12962,f12(f12(f4(x12961,f147(f148(x12961,x12962),a2),f147(x12962,a2)),f12(f6(f147(x12962,f147(f147(f148(x12961,x12962),a2),a2)),f147(f147(f148(x12961,x12962),a2),f147(x12962,a2)),x12961,f4(x12962,f147(f148(x12961,x12962),a2),a2)),f12(f6(f147(x12962,f148(x12961,x12962)),f147(x12962,f147(f147(f148(x12961,x12962),a2),a2)),x12961,f6(f148(x12961,x12962),f147(f147(f148(x12961,x12962),a2),a2),x12962,f52(f148(x12961,x12962)))),f37(x12961,x12962)))),x12963),x12964)+~P31(f12(f12(f52(x12962),x12964),f36(x12962,x12961,f40(x12961,x12962,x12963))))
% 1.00/1.29 [1297]E(x12971,x12972)+~E(f12(f12(f4(x12973,f147(f148(x12973,x12974),a2),f147(x12974,a2)),f12(f6(f147(x12974,f147(f147(f148(x12973,x12974),a2),a2)),f147(f147(f148(x12973,x12974),a2),f147(x12974,a2)),x12973,f4(x12974,f147(f148(x12973,x12974),a2),a2)),f12(f6(f147(x12974,f148(x12973,x12974)),f147(x12974,f147(f147(f148(x12973,x12974),a2),a2)),x12973,f6(f148(x12973,x12974),f147(f147(f148(x12973,x12974),a2),a2),x12974,f52(f148(x12973,x12974)))),f37(x12973,x12974)))),x12971),f12(f12(f4(x12973,f147(f148(x12973,x12974),a2),f147(x12974,a2)),f12(f6(f147(x12974,f147(f147(f148(x12973,x12974),a2),a2)),f147(f147(f148(x12973,x12974),a2),f147(x12974,a2)),x12973,f4(x12974,f147(f148(x12973,x12974),a2),a2)),f12(f6(f147(x12974,f148(x12973,x12974)),f147(x12974,f147(f147(f148(x12973,x12974),a2),a2)),x12973,f6(f148(x12973,x12974),f147(f147(f148(x12973,x12974),a2),a2),x12974,f52(f148(x12973,x12974)))),f37(x12973,x12974)))),x12972))
% 1.00/1.29 [1298]~P17(x12981,x12983,f12(f12(f4(x12981,f147(f148(x12981,x12983),a2),f147(x12983,a2)),f12(f6(f147(x12983,f147(f147(f148(x12981,x12983),a2),a2)),f147(f147(f148(x12981,x12983),a2),f147(x12983,a2)),x12981,f4(x12983,f147(f148(x12981,x12983),a2),a2)),f12(f6(f147(x12983,f148(x12981,x12983)),f147(x12983,f147(f147(f148(x12981,x12983),a2),a2)),x12981,f6(f148(x12981,x12983),f147(f147(f148(x12981,x12983),a2),a2),x12983,f52(f148(x12981,x12983)))),f37(x12981,x12983)))),x12984),x12982)+P31(f12(f12(f52(x12981),x12982),f36(x12981,x12983,x12984)))
% 1.00/1.29 [1299]~P16(x12993,x12991,f12(f12(f4(x12993,f147(f148(x12993,x12991),a2),f147(x12991,a2)),f12(f6(f147(x12991,f147(f147(f148(x12993,x12991),a2),a2)),f147(f147(f148(x12993,x12991),a2),f147(x12991,a2)),x12993,f4(x12991,f147(f148(x12993,x12991),a2),a2)),f12(f6(f147(x12991,f148(x12993,x12991)),f147(x12991,f147(f147(f148(x12993,x12991),a2),a2)),x12993,f6(f148(x12993,x12991),f147(f147(f148(x12993,x12991),a2),a2),x12991,f52(f148(x12993,x12991)))),f37(x12993,x12991)))),x12994),x12992)+P31(f12(f12(f52(x12991),x12992),f36(x12991,x12993,f40(x12993,x12991,x12994))))
% 1.00/1.29 [1300]~P7(f147(f148(x13001,x13002),a2),x13003,x13004)+P7(f147(x13001,f147(x13002,a2)),f12(f12(f4(x13001,f147(f148(x13001,x13002),a2),f147(x13002,a2)),f12(f6(f147(x13002,f147(f147(f148(x13001,x13002),a2),a2)),f147(f147(f148(x13001,x13002),a2),f147(x13002,a2)),x13001,f4(x13002,f147(f148(x13001,x13002),a2),a2)),f12(f6(f147(x13002,f148(x13001,x13002)),f147(x13002,f147(f147(f148(x13001,x13002),a2),a2)),x13001,f6(f148(x13001,x13002),f147(f147(f148(x13001,x13002),a2),a2),x13002,f52(f148(x13001,x13002)))),f37(x13001,x13002)))),x13003),f12(f12(f4(x13001,f147(f148(x13001,x13002),a2),f147(x13002,a2)),f12(f6(f147(x13002,f147(f147(f148(x13001,x13002),a2),a2)),f147(f147(f148(x13001,x13002),a2),f147(x13002,a2)),x13001,f4(x13002,f147(f148(x13001,x13002),a2),a2)),f12(f6(f147(x13002,f148(x13001,x13002)),f147(x13002,f147(f147(f148(x13001,x13002),a2),a2)),x13001,f6(f148(x13001,x13002),f147(f147(f148(x13001,x13002),a2),a2),x13002,f52(f148(x13001,x13002)))),f37(x13001,x13002)))),x13004))
% 1.00/1.29 [1305]P7(f147(f148(x13051,x13052),a2),x13053,x13054)+~P7(f147(x13051,f147(x13052,a2)),f12(f12(f4(x13051,f147(f148(x13051,x13052),a2),f147(x13052,a2)),f12(f6(f147(x13052,f147(f147(f148(x13051,x13052),a2),a2)),f147(f147(f148(x13051,x13052),a2),f147(x13052,a2)),x13051,f4(x13052,f147(f148(x13051,x13052),a2),a2)),f12(f6(f147(x13052,f148(x13051,x13052)),f147(x13052,f147(f147(f148(x13051,x13052),a2),a2)),x13051,f6(f148(x13051,x13052),f147(f147(f148(x13051,x13052),a2),a2),x13052,f52(f148(x13051,x13052)))),f37(x13051,x13052)))),x13053),f12(f12(f4(x13051,f147(f148(x13051,x13052),a2),f147(x13052,a2)),f12(f6(f147(x13052,f147(f147(f148(x13051,x13052),a2),a2)),f147(f147(f148(x13051,x13052),a2),f147(x13052,a2)),x13051,f4(x13052,f147(f148(x13051,x13052),a2),a2)),f12(f6(f147(x13052,f148(x13051,x13052)),f147(x13052,f147(f147(f148(x13051,x13052),a2),a2)),x13051,f6(f148(x13051,x13052),f147(f147(f148(x13051,x13052),a2),a2),x13052,f52(f148(x13051,x13052)))),f37(x13051,x13052)))),x13054))
% 1.00/1.29 [979]~P7(f147(x9792,a2),x9794,x9795)+P7(f147(x9791,a2),f43(x9792,x9791,x9793,x9794),f43(x9792,x9791,x9793,x9795))
% 1.00/1.29 [981]~E(f12(x9813,x9814),x9815)+E(f21(x9811,x9812,x9813,x9814,x9815),x9813)
% 1.00/1.29 [1014]P8(x10141,x10142,f31(x10142,x10141,x10143,x10144),x10145)+~P7(f147(x10141,a2),x10145,f43(x10142,x10141,x10144,x10143))
% 1.00/1.29 [1037]~E(f21(x10374,x10375,x10371,x10372,x10373),x10371)+E(f12(x10371,x10372),x10373)
% 1.00/1.29 [1141]~P7(f147(x11415,a2),x11414,f43(x11411,x11415,x11413,x11412))+P7(f147(x11411,a2),f139(x11412,x11413,x11411,x11414,x11415),x11412)
% 1.00/1.29 [838]P16(x8381,x8382,x8383,x8384)+~P31(f12(f12(x8383,x8385),x8384))
% 1.00/1.29 [839]P17(x8391,x8392,x8393,x8394)+~P31(f12(f12(x8393,x8394),x8395))
% 1.00/1.29 [934]~P8(x9341,x9342,x9343,x9344)+P8(x9341,x9342,x9343,f15(f147(x9341,a2),x9344,x9345))
% 1.00/1.29 [982]~P7(f147(x9821,a2),x9825,x9823)+P7(f147(f147(x9821,x9822),a2),f22(x9821,x9822,x9823,x9824),f22(x9821,x9822,x9825,x9824))
% 1.00/1.29 [1062]E(f12(x10621,f135(x10622,x10621,x10623,x10624)),x10624)+~P31(f12(f12(f52(x10625),x10624),f43(x10623,x10625,x10621,x10622)))
% 1.00/1.29 [1152]~P7(f147(x11522,a2),x11525,f43(x11521,x11522,x11523,x11524))+E(f43(x11521,x11522,x11523,f139(x11524,x11523,x11521,x11525,x11522)),x11525)
% 1.00/1.29 [797]~P4(x7972)+E(f12(f28(f147(x7971,x7972),x7973,x7974),x7975),f28(x7972,f12(x7973,x7975),f12(x7974,x7975)))
% 1.00/1.29 [799]~P6(x7992)+E(f12(f15(f147(x7991,x7992),x7993,x7994),x7995),f15(x7992,f12(x7993,x7995),f12(x7994,x7995)))
% 1.00/1.29 [901]E(f12(f25(x9011,x9012,x9013,x9014),x9015),f29(x9012))+P31(f12(f12(f52(x9011),x9015),x9014))
% 1.00/1.29 [902]E(f43(x9021,x9022,f16(x9022,x9021,x9023),x9024),f12(f12(f42(x9022),x9023),f32(f147(x9022,a2))))+~P31(f12(f12(f52(x9021),x9025),x9024))
% 1.00/1.29 [910]~P31(f12(f12(x9103,x9105),x9104))+P31(f12(f12(f27(x9101,x9102,x9103),x9104),x9105))
% 1.00/1.29 [915]E(f12(f25(x9151,x9152,x9153,x9154),x9155),f12(x9153,x9155))+~P31(f12(f12(f52(x9151),x9155),x9154))
% 1.00/1.29 [935]P8(x9351,x9352,x9353,x9354)+~P8(x9351,x9352,x9353,f12(f12(f42(x9351),x9355),x9354))
% 1.00/1.29 [950]P31(f12(f12(x9501,x9502),x9503))+~P31(f12(f12(f27(x9504,x9505,x9501),x9503),x9502))
% 1.00/1.29 [956]E(f12(f12(f42(x9561),f12(x9562,x9563)),f43(x9564,x9561,x9562,x9565)),f43(x9564,x9561,x9562,x9565))+~P31(f12(f12(f52(x9564),x9563),x9565))
% 1.00/1.29 [965]~P19(x9651,x9652,f40(x9652,x9651,x9653))+E(f28(f147(x9651,a2),f12(f41(x9652,x9651,x9653),x9654),f12(f41(x9652,x9651,x9653),x9655)),f12(f41(x9652,x9651,x9653),f28(f147(x9652,a2),x9654,x9655)))
% 1.00/1.29 [997]P31(f12(f12(f52(x9971),f12(x9972,x9973)),f43(x9974,x9971,x9972,x9975)))+~P31(f12(f12(f52(x9974),x9973),x9975))
% 1.00/1.29 [1106]E(f12(x11061,f12(f31(x11062,x11063,x11064,x11061),x11065)),x11065)+~P31(f12(f12(f52(x11063),x11065),f43(x11062,x11063,x11061,x11064)))
% 1.00/1.29 [1175]~P31(f12(f12(f52(x11755),x11754),f43(x11751,x11755,x11753,x11752)))+P31(f12(f12(f52(x11751),f135(x11752,x11753,x11751,x11754)),x11752))
% 1.00/1.29 [1242]~P31(f12(f12(f52(x12425),x12424),f12(f41(x12421,x12425,x12423),x12422)))+P31(f12(f12(f52(x12421),f140(x12422,x12423,x12421,x12424,x12425)),x12422))
% 1.00/1.29 [1243]~P31(f12(f12(f52(x12435),x12434),f12(f41(x12431,x12435,x12433),x12432)))+P31(f12(f12(f52(x12431),f141(x12432,x12433,x12431,x12434,x12435)),x12432))
% 1.00/1.29 [1246]P31(f12(f12(f52(f147(x12461,x12464)),x12463),f22(x12461,x12464,x12465,x12462)))+P31(f12(f12(f52(x12461),f64(x12462,x12463,x12464,x12465,x12461)),x12465))
% 1.00/1.29 [1247]P31(f12(f12(f52(f147(x12471,x12474)),x12473),f22(x12471,x12474,x12475,x12472)))+P31(f12(f12(f52(x12471),f72(x12472,x12473,x12474,x12475,x12471)),x12475))
% 1.00/1.29 [1249]P31(f12(f12(x12491,f144(x12492,x12491,x12493,x12494,x12495)),x12492))+~P31(f12(f19(x12495,f147(x12494,a2),x12493,x12491),x12492))
% 1.00/1.29 [1250]P31(f12(f12(f52(x12501),f144(x12502,x12503,x12504,x12505,x12501)),x12504))+~P31(f12(f19(x12501,f147(x12505,a2),x12504,x12503),x12502))
% 1.00/1.29 [1254]P31(f12(f12(f52(f147(x12541,x12544)),f25(x12541,x12544,x12543,x12545)),f22(x12541,x12544,x12545,x12542)))+P31(f12(f12(f52(x12541),f103(x12542,x12543,x12544,x12545,x12541)),x12545))
% 1.00/1.29 [1287]P31(f12(f12(f52(f147(x12871,x12872)),x12873),f22(x12871,x12872,x12874,x12875)))+~P31(f12(f12(f52(x12872),f12(x12873,f64(x12875,x12873,x12872,x12874,x12871))),f12(x12875,f64(x12875,x12873,x12872,x12874,x12871))))
% 1.00/1.29 [1288]P31(f12(f12(f52(f147(x12881,x12882)),x12883),f22(x12881,x12882,x12884,x12885)))+~P31(f12(f12(f52(x12882),f12(x12883,f72(x12885,x12883,x12882,x12884,x12881))),f12(x12885,f72(x12885,x12883,x12882,x12884,x12881))))
% 1.00/1.29 [1289]P31(f12(f12(f52(f147(x12891,x12892)),f25(x12891,x12892,x12893,x12894)),f22(x12891,x12892,x12894,x12895)))+~P31(f12(f12(f52(x12892),f12(x12893,f103(x12895,x12893,x12892,x12894,x12891))),f12(x12895,f103(x12895,x12893,x12892,x12894,x12891))))
% 1.00/1.29 [1153]P7(f147(x11531,a2),f43(x11532,x11531,x11533,x11534),x11535)+~P31(f12(f12(f52(f147(x11532,x11531)),x11533),f22(x11532,x11531,x11534,f16(f147(x11531,a2),x11532,x11535))))
% 1.00/1.29 [1192]~E(f43(x11922,x11921,x11923,x11924),x11925)+E(f25(x11921,x11921,f12(f6(x11922,x11921,x11921,x11923),f25(x11921,x11922,f31(x11922,x11921,x11924,x11923),x11925)),x11925),f25(x11921,x11921,f3(x11921),x11925))
% 1.00/1.29 [1208]~P31(f12(f12(f52(x12082),x12085),f43(x12081,x12082,x12084,x12083)))+P31(f12(f12(f52(x12081),f12(f31(x12081,x12082,x12083,x12084),x12085)),x12083))
% 1.00/1.29 [1227]~E(f43(x12272,x12271,x12274,x12273),x12275)+P31(f12(f12(f52(f147(x12271,x12272)),f25(x12271,x12272,f31(x12272,x12271,x12273,x12274),x12275)),f22(x12271,x12272,x12275,f16(f147(x12272,a2),x12271,x12273))))
% 1.00/1.29 [1251]P31(f12(f12(f52(x12511),f71(x12512,x12513,x12514,x12515,x12511)),x12515))+P31(f12(f12(f52(f147(x12511,x12514)),x12513),f22(x12511,x12514,x12515,f16(f147(x12514,a2),x12511,x12512))))
% 1.00/1.29 [1257]P31(f12(f12(f52(x12571),f104(x12572,x12573,x12574,x12575,x12571)),x12575))+P31(f12(f12(f52(f147(x12571,x12574)),f25(x12571,x12574,x12573,x12575)),f22(x12571,x12574,x12575,f16(f147(x12574,a2),x12571,x12572))))
% 1.00/1.29 [1275]~P31(f12(f12(f52(x12752),f12(x12753,f71(x12755,x12753,x12752,x12754,x12751))),x12755))+P31(f12(f12(f52(f147(x12751,x12752)),x12753),f22(x12751,x12752,x12754,f16(f147(x12752,a2),x12751,x12755))))
% 1.00/1.29 [1277]~P31(f12(f12(f52(x12772),f12(x12773,f104(x12775,x12773,x12772,x12774,x12771))),x12775))+P31(f12(f12(f52(f147(x12771,x12772)),f25(x12771,x12772,x12773,x12774)),f22(x12771,x12772,x12774,f16(f147(x12772,a2),x12771,x12775))))
% 1.00/1.29 [1039]P31(f12(f12(f52(x10391),x10392),f36(x10391,x10393,x10394)))+~P31(f12(f12(f52(f148(x10391,x10393)),f12(f12(f37(x10391,x10393),x10392),x10395)),x10394))
% 1.00/1.29 [1080]P31(f12(f12(f52(x10801),x10802),f36(x10801,x10803,f40(x10803,x10801,x10804))))+~P31(f12(f12(f52(f148(x10803,x10801)),f12(f12(f37(x10803,x10801),x10805),x10802)),x10804))
% 1.00/1.29 [1112]P11(x11121,x11122,x11123,x11124,x11125)+~P31(f12(f12(f52(f148(x11121,x11122)),f12(f12(f37(x11121,x11122),x11124),x11125)),x11123))
% 1.00/1.29 [1117]P31(f12(f12(f52(f148(x11171,x11172)),f12(f12(f37(x11171,x11172),x11173),x11174)),f40(x11172,x11171,x11175)))+~P31(f12(f12(f52(f148(x11172,x11171)),f12(f12(f37(x11172,x11171),x11174),x11173)),x11175))
% 1.00/1.29 [1123]~P11(x11231,x11232,x11235,x11233,x11234)+P31(f12(f12(f52(f148(x11231,x11232)),f12(f12(f37(x11231,x11232),x11233),x11234)),x11235))
% 1.00/1.29 [1127]~P31(f12(f12(f52(f148(x11272,x11271)),f12(f12(f37(x11272,x11271),x11274),x11273)),f40(x11271,x11272,x11275)))+P31(f12(f12(f52(f148(x11271,x11272)),f12(f12(f37(x11271,x11272),x11273),x11274)),x11275))
% 1.00/1.29 [1129]~P31(f12(f12(f52(f148(x11293,x11291)),f12(f12(f37(x11293,x11291),x11295),x11292)),x11294))+P31(f12(f12(f52(x11291),x11292),f12(f41(x11293,x11291,x11294),f12(f12(f42(x11293),x11295),f32(f147(x11293,a2))))))
% 1.00/1.29 [1135]P31(f12(f12(f52(f148(x11351,x11352)),f12(f12(f37(x11351,x11352),x11353),x11354)),x11355))+~P31(f12(f12(f52(x11352),x11354),f12(f41(x11351,x11352,x11355),f12(f12(f42(x11351),x11353),f32(f147(x11351,a2))))))
% 1.00/1.29 [1282]~P31(f12(f12(f52(x12822),x12825),f12(f41(x12821,x12822,x12824),x12823)))+P31(f12(f12(f52(f148(x12821,x12822)),f12(f12(f37(x12821,x12822),f140(x12823,x12824,x12821,x12825,x12822)),x12825)),x12824))
% 1.00/1.29 [1283]~P31(f12(f12(f52(x12832),x12835),f12(f41(x12831,x12832,x12834),x12833)))+P31(f12(f12(f52(f148(x12831,x12832)),f12(f12(f37(x12831,x12832),f141(x12833,x12834,x12831,x12835,x12832)),x12835)),x12834))
% 1.00/1.29 [1209]~P8(x12091,x12092,x12093,f12(f12(f42(x12091),x12094),x12095))+~P31(f12(f12(f52(x12092),f12(x12093,x12094)),f43(x12091,x12092,x12093,f15(f147(x12091,a2),x12095,f12(f12(f42(x12091),x12094),f32(f147(x12091,a2)))))))
% 1.00/1.29 [1312]~P31(f12(f12(f52(f148(x13122,x13121)),f12(f12(f37(x13122,x13121),x13124),x13125)),f40(x13121,x13122,x13123)))+P31(f12(f12(f27(x13121,x13122,f12(f12(f4(x13121,f147(f148(x13121,x13122),a2),f147(x13122,a2)),f12(f6(f147(x13122,f147(f147(f148(x13121,x13122),a2),a2)),f147(f147(f148(x13121,x13122),a2),f147(x13122,a2)),x13121,f4(x13122,f147(f148(x13121,x13122),a2),a2)),f12(f6(f147(x13122,f148(x13121,x13122)),f147(x13122,f147(f147(f148(x13121,x13122),a2),a2)),x13121,f6(f148(x13121,x13122),f147(f147(f148(x13121,x13122),a2),a2),x13122,f52(f148(x13121,x13122)))),f37(x13121,x13122)))),x13123)),x13124),x13125))
% 1.00/1.29 [1313]P31(f12(f12(f52(f148(x13131,x13132)),f12(f12(f37(x13131,x13132),x13133),x13134)),f40(x13132,x13131,x13135)))+~P31(f12(f12(f27(x13132,x13131,f12(f12(f4(x13132,f147(f148(x13132,x13131),a2),f147(x13131,a2)),f12(f6(f147(x13131,f147(f147(f148(x13132,x13131),a2),a2)),f147(f147(f148(x13132,x13131),a2),f147(x13131,a2)),x13132,f4(x13131,f147(f148(x13132,x13131),a2),a2)),f12(f6(f147(x13131,f148(x13132,x13131)),f147(x13131,f147(f147(f148(x13132,x13131),a2),a2)),x13132,f6(f148(x13132,x13131),f147(f147(f148(x13132,x13131),a2),a2),x13131,f52(f148(x13132,x13131)))),f37(x13132,x13131)))),x13135)),x13133),x13134))
% 1.00/1.29 [1090]~E(x10906,x10904)+E(f12(f21(x10901,x10902,x10903,x10904,x10905),x10906),x10905)
% 1.00/1.29 [1093]E(x10931,x10932)+E(f12(f21(x10933,x10934,x10935,x10932,x10936),x10931),f12(x10935,x10931))
% 1.00/1.29 [1125]E(f43(x11251,x11252,f21(x11251,x11252,x11253,x11254,x11255),x11256),f43(x11251,x11252,x11253,x11256))+P31(f12(f12(f52(x11251),x11254),x11256))
% 1.00/1.29 [1190]P31(f12(f12(f52(f148(x11901,x11901)),f12(f12(f37(x11901,x11901),x11902),x11903)),f44(x11904,x11901,x11905,x11906)))+~P31(f12(f12(f52(f148(x11904,x11904)),f12(f12(f37(x11904,x11904),f12(x11906,x11902)),f12(x11906,x11903))),x11905))
% 1.00/1.29 [1191]~P31(f12(f12(f52(f148(x11916,x11916)),f12(f12(f37(x11916,x11916),x11913),x11914)),f44(x11911,x11916,x11915,x11912)))+P31(f12(f12(f52(f148(x11911,x11911)),f12(f12(f37(x11911,x11911),f12(x11912,x11913)),f12(x11912,x11914))),x11915))
% 1.00/1.29 [1278]~E(f12(x12783,f113(x12786,x12785,x12784,x12783,x12782,x12781)),f12(x12786,f113(x12786,x12785,x12784,x12783,x12782,x12781)))+E(f12(f12(f12(f38(x12781,x12782),x12783),x12784),x12785),f12(f12(f12(f38(x12781,x12782),x12786),x12784),x12785))
% 1.00/1.29 [1003]E(f12(f12(f12(f12(f38(x10031,x10032),x10033),x10034),x10035),x10036),f29(x10032))+P31(f12(f12(f52(f148(x10031,x10031)),f12(f12(f37(x10031,x10031),x10036),x10035)),x10034))
% 1.00/1.29 [1030]P31(f12(f12(x10301,x10302),x10303))+~P31(f12(f12(f28(f147(x10304,f147(x10305,a2)),x10306,x10301),x10302),x10303))
% 1.00/1.29 [1031]P31(f12(f12(x10311,x10312),x10313))+~P31(f12(f12(f28(f147(x10314,f147(x10315,a2)),x10311,x10316),x10312),x10313))
% 1.00/1.29 [1048]E(f12(f12(f12(f12(f38(x10481,x10482),x10483),x10484),x10485),x10486),f12(x10483,x10486))+~P31(f12(f12(f52(f148(x10481,x10481)),f12(f12(f37(x10481,x10481),x10486),x10485)),x10484))
% 1.00/1.29 [1304]E(f12(f12(f12(f38(x13041,x13042),x13043),x13044),x13045),f12(f12(f12(f38(x13041,x13042),x13046),x13044),x13045))+P31(f12(f12(f52(f148(x13041,x13041)),f12(f12(f37(x13041,x13041),f113(x13043,x13045,x13044,x13046,x13042,x13041)),x13045)),x13044))
% 1.00/1.29 [1185]~P31(f12(f12(f52(x11853),x11856),x11855))+E(f12(f12(f42(x11851),x11852),f43(x11853,x11851,x11854,f15(f147(x11853,a2),x11855,f12(f12(f42(x11853),x11856),f32(f147(x11853,a2)))))),f43(x11853,x11851,f21(x11853,x11851,x11854,x11856,x11852),x11855))
% 1.00/1.29 [1315]~P31(f12(f12(f52(f148(x13151,x13152)),f12(f12(f37(x13151,x13152),x13155),x13156)),f28(f147(f148(x13151,x13152),a2),x13153,x13154)))+P31(f12(f12(f28(f147(x13151,f147(x13152,a2)),f12(f12(f4(x13151,f147(f148(x13151,x13152),a2),f147(x13152,a2)),f12(f6(f147(x13152,f147(f147(f148(x13151,x13152),a2),a2)),f147(f147(f148(x13151,x13152),a2),f147(x13152,a2)),x13151,f4(x13152,f147(f148(x13151,x13152),a2),a2)),f12(f6(f147(x13152,f148(x13151,x13152)),f147(x13152,f147(f147(f148(x13151,x13152),a2),a2)),x13151,f6(f148(x13151,x13152),f147(f147(f148(x13151,x13152),a2),a2),x13152,f52(f148(x13151,x13152)))),f37(x13151,x13152)))),x13153),f12(f12(f4(x13151,f147(f148(x13151,x13152),a2),f147(x13152,a2)),f12(f6(f147(x13152,f147(f147(f148(x13151,x13152),a2),a2)),f147(f147(f148(x13151,x13152),a2),f147(x13152,a2)),x13151,f4(x13152,f147(f148(x13151,x13152),a2),a2)),f12(f6(f147(x13152,f148(x13151,x13152)),f147(x13152,f147(f147(f148(x13151,x13152),a2),a2)),x13151,f6(f148(x13151,x13152),f147(f147(f148(x13151,x13152),a2),a2),x13152,f52(f148(x13151,x13152)))),f37(x13151,x13152)))),x13154)),x13155),x13156))
% 1.00/1.29 [1318]P31(f12(f12(f52(f148(x13181,x13182)),f12(f12(f37(x13181,x13182),x13183),x13184)),f28(f147(f148(x13181,x13182),a2),x13185,x13186)))+~P31(f12(f12(f28(f147(x13181,f147(x13182,a2)),f12(f12(f4(x13181,f147(f148(x13181,x13182),a2),f147(x13182,a2)),f12(f6(f147(x13182,f147(f147(f148(x13181,x13182),a2),a2)),f147(f147(f148(x13181,x13182),a2),f147(x13182,a2)),x13181,f4(x13182,f147(f148(x13181,x13182),a2),a2)),f12(f6(f147(x13182,f148(x13181,x13182)),f147(x13182,f147(f147(f148(x13181,x13182),a2),a2)),x13181,f6(f148(x13181,x13182),f147(f147(f148(x13181,x13182),a2),a2),x13182,f52(f148(x13181,x13182)))),f37(x13181,x13182)))),x13185),f12(f12(f4(x13181,f147(f148(x13181,x13182),a2),f147(x13182,a2)),f12(f6(f147(x13182,f147(f147(f148(x13181,x13182),a2),a2)),f147(f147(f148(x13181,x13182),a2),f147(x13182,a2)),x13181,f4(x13182,f147(f148(x13181,x13182),a2),a2)),f12(f6(f147(x13182,f148(x13181,x13182)),f147(x13182,f147(f147(f148(x13181,x13182),a2),a2)),x13181,f6(f148(x13181,x13182),f147(f147(f148(x13181,x13182),a2),a2),x13182,f52(f148(x13181,x13182)))),f37(x13181,x13182)))),x13186)),x13183),x13184))
% 1.00/1.29 [1223]E(x12231,x12232)+E(f21(x12233,x12234,f21(x12233,x12234,x12235,x12231,x12236),x12232,x12237),f21(x12233,x12234,f21(x12233,x12234,x12235,x12232,x12237),x12231,x12236))
% 1.00/1.29 [1104]E(f12(f25(x11041,x11042,f12(f6(x11043,x11042,x11041,x11044),x11045),x11046),x11047),f12(x11044,f12(x11045,x11047)))+~P31(f12(f12(f52(x11041),x11047),x11046))
% 1.00/1.29 [1237]P31(f12(f12(f52(f148(f148(x12371,x12372),f148(x12371,x12372))),f12(f12(f37(f148(x12371,x12372),f148(x12371,x12372)),f12(f12(f37(x12371,x12372),x12373),x12374)),f12(f12(f37(x12371,x12372),x12375),x12376))),f51(x12371,x12372,x12377,x12378)))+~P31(f12(f12(f52(f148(x12371,x12371)),f12(f12(f37(x12371,x12371),x12373),x12375)),x12377))
% 1.00/1.29 [1064]P1(x10641)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x10641)),f58(x10641))),f12(x10641,f142(x10641))))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x10641)),f58(x10641))),f12(x10641,f133(x10641))))
% 1.00/1.29 [1150]P1(x11501)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x11501)),f58(x11501))),f12(x11501,f142(x11501))))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x11501)),f58(x11501))),f12(x11501,f133(x11501))))
% 1.00/1.29 [724]~P31(x7242)+~P31(x7241)+P31(f12(f12(a47,x7241),x7242))
% 1.00/1.29 [1114]P1(x11141)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x11141)),f58(x11141))),f12(f142(x11141),x11142)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x11141)),f58(x11141))),f12(f133(x11141),x11142)))
% 1.00/1.29 [1115]P1(x11151)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x11151)),f58(x11151))),f12(f133(x11151),x11152)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f57(x11151)),f58(x11151))),f12(f142(x11151),x11152)))
% 1.00/1.29 [1255]P3(x12551,x12552)+~E(f122(x12552,x12551),f112(x12552,x12551))+~P31(f12(f12(f52(f147(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2))),x12551),f22(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2),a7,f16(f147(f147(f148(a145,a145),a2),a2),f147(a146,f147(f148(a145,a145),a2)),a5))))
% 1.00/1.29 [1260]P3(x12601,x12602)+P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),f98(x12602,x12601)),a7))+~P31(f12(f12(f52(f147(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2))),x12601),f22(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2),a7,f16(f147(f147(f148(a145,a145),a2),a2),f147(a146,f147(f148(a145,a145),a2)),a5))))
% 1.00/1.29 [1261]P3(x12611,x12612)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f112(x12612,x12611)),f122(x12612,x12611))),f12(f98(x12612,x12611),x12612)))+~P31(f12(f12(f52(f147(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2))),x12611),f22(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2),a7,f16(f147(f147(f148(a145,a145),a2),a2),f147(a146,f147(f148(a145,a145),a2)),a5))))
% 1.00/1.29 [1263]P3(x12631,x12632)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),f112(x12632,x12631)),f122(x12632,x12631))),f12(x12631,f98(x12632,x12631))))+~P31(f12(f12(f52(f147(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2))),x12631),f22(f147(a146,f147(f148(a145,a145),a2)),f147(f148(a145,a145),a2),a7,f16(f147(f147(f148(a145,a145),a2),a2),f147(a146,f147(f148(a145,a145),a2)),a5))))
% 1.00/1.29 [709]~E(x7092,x7093)+~P27(x7091)+P7(x7091,x7092,x7093)
% 1.00/1.29 [711]~E(x7112,x7113)+~P30(x7111)+P7(x7111,x7112,x7113)
% 1.00/1.29 [729]P7(x7291,x7293,x7292)+~P29(x7291)+P7(x7291,x7292,x7293)
% 1.00/1.29 [736]~P25(x7361)+~P7(x7361,x7363,x7362)+E(f28(x7361,x7362,x7363),x7363)
% 1.00/1.29 [738]~P25(x7381)+~P7(x7381,x7382,x7383)+E(f28(x7381,x7382,x7383),x7382)
% 1.00/1.29 [739]~P25(x7391)+P7(x7391,x7392,x7393)+~E(f28(x7391,x7392,x7393),x7392)
% 1.00/1.29 [789]E(x7891,x7892)+~P7(f147(x7893,a2),x7891,x7892)+~P7(f147(x7893,a2),x7892,x7891)
% 1.00/1.29 [782]P21(x7821,x7822)+~P21(x7821,x7823)+~P7(f147(f148(x7821,x7821),a2),x7822,x7823)
% 1.00/1.29 [869]E(f34(x8691,x8692),f34(x8691,x8693))+~P7(f147(f148(x8691,x8691),a2),x8693,f34(x8691,x8692))+~P7(f147(f148(x8691,x8691),a2),x8692,x8693)
% 1.00/1.29 [893]~P7(f147(x8932,a2),x8931,f12(f12(f42(x8932),x8933),f32(f147(x8932,a2))))+E(x8931,f32(f147(x8932,a2)))+E(x8931,f12(f12(f42(x8932),x8933),f32(f147(x8932,a2))))
% 1.00/1.29 [1042]E(x10421,x10422)+P31(f12(f12(f52(f147(f148(a145,a145),a2)),f8(x10423,x10421,x10422)),a5))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10423),a5))
% 1.00/1.29 [1063]E(x10631,x10632)+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10633),a5))+P31(f12(f12(f52(f147(f148(a145,a145),a2)),f12(f12(f12(a9,x10633),x10631),x10632)),a5))
% 1.00/1.29 [1170]~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11703),x11702)),x11701))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11702),x11703)),x11701))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11701),a5))
% 1.00/1.29 [1052]~P3(x10521,x10523)+E(f12(x10521,x10522),f12(x10522,x10523))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x10522),a7))
% 1.00/1.29 [757]~P7(f147(x7574,a2),x7573,x7571)+P31(f12(x7571,x7572))+~P31(f12(x7573,x7572))
% 1.00/1.29 [792]~P25(x7921)+~P7(x7921,x7923,x7924)+P7(x7921,f28(x7921,x7922,x7923),x7924)
% 1.00/1.29 [793]~P25(x7931)+~P7(x7931,x7932,x7934)+P7(x7931,f28(x7931,x7932,x7933),x7934)
% 1.00/1.29 [807]~P25(x8071)+P7(x8071,x8072,x8073)+~P7(x8071,x8072,f28(x8071,x8074,x8073))
% 1.00/1.29 [809]~P25(x8091)+P7(x8091,x8092,x8093)+~P7(x8091,x8092,f28(x8091,x8093,x8094))
% 1.00/1.29 [814]~P7(f147(x8141,a2),x8142,x8144)+~P7(f147(x8141,a2),x8144,x8143)+P7(f147(x8141,a2),x8142,x8143)
% 1.00/1.29 [826]~P31(f12(f49(x8261,x8262),x8264))+P31(f12(f49(x8261,x8262),x8263))+~P31(f12(f12(x8262,x8263),x8264))
% 1.00/1.29 [830]P19(x8301,x8302,x8303)+~P19(x8301,x8302,x8304)+~P7(f147(f148(x8301,x8302),a2),x8303,x8304)
% 1.00/1.29 [867]~P7(f147(x8671,a2),x8672,x8673)+~P7(f147(x8671,a2),x8672,x8674)+P7(f147(x8671,a2),x8672,f28(f147(x8671,a2),x8673,x8674))
% 1.00/1.29 [976]~P7(f147(f148(x9761,x9761),a2),x9764,x9763)+~P31(f12(f12(f52(f148(x9761,x9761)),x9762),f46(x9761,x9764)))+P31(f12(f12(f52(f148(x9761,x9761)),x9762),f46(x9761,x9763)))
% 1.00/1.29 [1007]~E(x10071,x10072)+~E(x10071,x10073)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10072),x10071)),f10(x10074,x10073)))
% 1.00/1.29 [1008]~E(x10081,x10082)+~E(x10081,x10083)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10081),x10082)),f11(x10084,x10083)))
% 1.00/1.29 [1043]E(x10431,x10432)+~P31(f12(f12(f52(f148(x10433,x10433)),f12(f12(f37(x10433,x10433),x10431),x10432)),f34(x10433,x10434)))+P31(f12(f12(f52(x10433),x10431),f36(x10433,x10433,x10434)))
% 1.00/1.29 [1056]~P31(f12(f12(f52(f148(x10561,x10561)),f12(f12(f37(x10561,x10561),x10562),x10564)),f34(x10561,x10563)))+P31(f12(f12(f52(x10561),x10562),f50(x10561,x10563)))+~P31(f12(f12(f52(x10561),x10564),f50(x10561,x10563)))
% 1.00/1.29 [1110]E(x11101,x11102)+~P31(f12(f12(f52(f148(x11103,x11103)),f12(f12(f37(x11103,x11103),x11101),x11102)),f34(x11103,x11104)))+P31(f12(f12(f52(f148(x11103,x11103)),f12(f12(f37(x11103,x11103),x11101),x11102)),f46(x11103,x11104)))
% 1.00/1.29 [1137]~P28(x11372)+P7(f147(x11371,x11372),x11373,x11374)+~P7(x11372,f12(x11373,f138(x11374,x11373,x11371,x11372)),f12(x11374,f138(x11374,x11373,x11371,x11372)))
% 1.00/1.29 [1221]E(x12211,x12212)+P31(f12(f12(f52(f148(x12213,x12213)),f12(f12(f37(x12213,x12213),x12211),f110(x12214,x12212,x12211,x12213))),f34(x12213,x12214)))+~P31(f12(f12(f52(f148(x12213,x12213)),f12(f12(f37(x12213,x12213),x12211),x12212)),f34(x12213,x12214)))
% 1.00/1.29 [1245]E(x12451,x12452)+P31(f12(f12(f52(f148(x12453,x12453)),f12(f12(f37(x12453,x12453),f109(x12454,x12451,x12452,x12453)),x12451)),f34(x12453,x12454)))+~P31(f12(f12(f52(f148(x12453,x12453)),f12(f12(f37(x12453,x12453),x12452),x12451)),f34(x12453,x12454)))
% 1.00/1.29 [846]~P7(f147(x8461,a2),x8464,x8463)+~P31(f12(f12(f52(x8461),x8462),x8464))+P31(f12(f12(f52(x8461),x8462),x8463))
% 1.00/1.29 [859]~P31(f12(x8593,x8594))+~P31(f12(x8592,x8594))+P31(f12(f28(f147(x8591,a2),x8592,x8593),x8594))
% 1.00/1.29 [865]P7(f147(x8651,a2),x8652,x8653)+~P7(f147(x8651,a2),x8652,f12(f12(f42(x8651),x8654),x8653))+P31(f12(f12(f52(x8651),x8654),x8652))
% 1.00/1.29 [866]~P7(f147(x8661,a2),x8663,x8664)+P7(f147(x8661,a2),f12(f12(f42(x8661),x8662),x8663),x8664)+~P31(f12(f12(f52(x8661),x8662),x8664))
% 1.00/1.29 [868]~P7(f147(x8681,a2),x8684,x8682)+~P7(f147(x8681,a2),x8682,x8683)+E(f15(f147(x8681,a2),x8682,f15(f147(x8681,a2),x8683,x8684)),x8684)
% 1.00/1.29 [913]~P31(f12(f12(f52(x9131),x9132),x9134))+P31(f12(f12(f52(x9131),x9132),x9133))+P31(f12(f12(f52(x9131),x9132),f15(f147(x9131,a2),x9134,x9133)))
% 1.00/1.29 [918]~P31(f12(f12(f52(x9181),x9182),x9184))+~P31(f12(f12(f52(x9181),x9182),x9183))+P31(f12(f12(f52(x9181),x9182),f28(f147(x9181,a2),x9183,x9184)))
% 1.00/1.29 [985]~E(x9852,x9853)+P31(f12(f12(f52(f148(x9851,x9851)),f12(f12(f37(x9851,x9851),x9852),x9853)),f35(x9851,x9854)))+~P31(f12(f12(f52(x9851),x9852),x9854))
% 1.00/1.29 [847]E(x8471,x8472)+P31(f12(x8473,x8472))+~P31(f12(f12(f12(f42(x8474),x8471),x8473),x8472))
% 1.00/1.29 [899]E(x8991,x8992)+P31(f12(f12(f52(x8993),x8991),x8994))+~P31(f12(f12(f52(x8993),x8991),f12(f12(f42(x8993),x8992),x8994)))
% 1.00/1.29 [970]~P7(f147(x9701,a2),x9702,f12(f12(f42(x9701),x9703),x9704))+P7(f147(x9701,a2),f15(f147(x9701,a2),x9702,f12(f12(f42(x9701),x9703),f32(f147(x9701,a2)))),x9704)+~P31(f12(f12(f52(x9701),x9703),x9702))
% 1.00/1.29 [996]P7(f147(x9961,a2),x9962,f12(f12(f42(x9961),x9963),x9964))+~P7(f147(x9961,a2),f15(f147(x9961,a2),x9962,f12(f12(f42(x9961),x9963),f32(f147(x9961,a2)))),x9964)+~P31(f12(f12(f52(x9961),x9963),x9962))
% 1.00/1.29 [1219]E(x12191,x12192)+~P31(f12(f12(f52(f148(x12193,x12193)),f12(f12(f37(x12193,x12193),x12191),x12192)),f34(x12193,x12194)))+P31(f12(f12(f52(f148(x12193,x12193)),f12(f12(f37(x12193,x12193),x12191),f109(x12194,x12192,x12191,x12193))),x12194))
% 1.00/1.29 [989]~P14(x9891,x9894,x9893)+~P31(f12(f12(f52(x9891),x9892),x9894))+P31(f12(f12(f52(f148(x9891,x9891)),f12(f12(f37(x9891,x9891),x9892),x9892)),x9893))
% 1.00/1.29 [1018]~P9(x10181,x10184,x10183)+~P31(f12(f12(f52(x10181),x10182),x10184))+P31(f12(f12(f52(x10181),x10182),f12(f41(x10181,x10181,x10183),f12(f12(f42(x10181),x10182),f32(f147(x10181,a2))))))
% 1.00/1.29 [1045]P31(f12(f12(f52(x10451),x10452),f50(x10451,x10453)))+~P31(f12(f12(f52(x10451),x10454),f50(x10451,x10453)))+~P31(f12(f12(f52(f148(x10451,x10451)),f12(f12(f37(x10451,x10451),x10452),x10454)),x10453))
% 1.00/1.29 [1057]~P21(x10571,x10574)+P31(f12(f12(f52(f148(x10571,x10571)),f12(f12(f37(x10571,x10571),x10573),x10572)),f34(x10571,x10574)))+P21(x10571,f12(f12(f42(f148(x10571,x10571)),f12(f12(f37(x10571,x10571),x10572),x10573)),x10574))
% 1.00/1.29 [1081]E(x10811,x10812)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10813),x10811)),f10(x10814,x10812)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10813),x10811)),x10814))
% 1.00/1.29 [1082]E(x10821,x10822)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10821),x10823)),f11(x10824,x10822)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10821),x10823)),x10824))
% 1.00/1.29 [1225]~P31(f12(f12(f52(f148(x12251,x12251)),f12(f12(f37(x12251,x12251),x12252),x12253)),f46(x12251,x12254)))+P31(f12(f12(f52(f148(x12251,x12251)),f12(f12(f37(x12251,x12251),x12252),f123(x12254,x12253,x12252,x12251))),x12254))+P31(f12(f12(f52(f148(x12251,x12251)),f12(f12(f37(x12251,x12251),x12252),x12253)),x12254))
% 1.00/1.29 [1226]P31(f12(f12(f52(f148(x12261,x12261)),f12(f12(f37(x12261,x12261),x12262),f124(x12264,x12263,x12262,x12261))),f46(x12261,x12264)))+~P31(f12(f12(f52(f148(x12261,x12261)),f12(f12(f37(x12261,x12261),x12262),x12263)),f46(x12261,x12264)))+P31(f12(f12(f52(f148(x12261,x12261)),f12(f12(f37(x12261,x12261),x12262),x12263)),x12264))
% 1.00/1.29 [1241]E(x12411,x12412)+~P31(f12(f12(f52(f148(x12413,x12413)),f12(f12(f37(x12413,x12413),x12412),x12411)),f34(x12413,x12414)))+P31(f12(f12(f52(f148(x12413,x12413)),f12(f12(f37(x12413,x12413),f110(x12414,x12411,x12412,x12413)),x12411)),x12414))
% 1.00/1.29 [1252]~P31(f12(f12(f52(f148(x12521,x12521)),f12(f12(f37(x12521,x12521),x12522),x12523)),f46(x12521,x12524)))+P31(f12(f12(f52(f148(x12521,x12521)),f12(f12(f37(x12521,x12521),f124(x12524,x12523,x12522,x12521)),x12523)),x12524))+P31(f12(f12(f52(f148(x12521,x12521)),f12(f12(f37(x12521,x12521),x12522),x12523)),x12524))
% 1.00/1.29 [1253]P31(f12(f12(f52(f148(x12531,x12531)),f12(f12(f37(x12531,x12531),f123(x12534,x12533,x12532,x12531)),x12533)),f46(x12531,x12534)))+~P31(f12(f12(f52(f148(x12531,x12531)),f12(f12(f37(x12531,x12531),x12532),x12533)),f46(x12531,x12534)))+P31(f12(f12(f52(f148(x12531,x12531)),f12(f12(f37(x12531,x12531),x12532),x12533)),x12534))
% 1.00/1.29 [1276]~P8(x12761,f147(f147(x12761,a2),a2),f12(f12(f4(x12761,f147(f148(x12761,x12761),a2),f147(f147(x12761,a2),a2)),f12(f6(f147(x12761,a2),f147(f147(f148(x12761,x12761),a2),f147(f147(x12761,a2),a2)),x12761,f17(x12761)),f12(f12(f4(x12761,f147(x12761,a2),f147(x12761,a2)),f42(x12761)),f32(f147(x12761,a2))))),x12763),x12762)+~P31(f12(f12(f52(x12761),x12764),x12762))+E(f15(f147(f147(x12761,a2),a2),f12(f12(f17(x12761),x12762),x12763),f12(f12(f17(x12761),f12(f12(f42(x12761),x12764),f32(f147(x12761,a2)))),x12763)),f12(f12(f17(x12761),f15(f147(x12761,a2),x12762,f12(f12(f42(x12761),x12764),f32(f147(x12761,a2))))),x12763))
% 1.00/1.29 [785]~P28(x7851)+P7(x7851,f12(x7852,x7853),f12(x7854,x7853))+~P7(f147(x7855,x7851),x7852,x7854)
% 1.00/1.29 [928]P8(x9281,x9282,x9283,x9284)+~P8(x9281,x9282,x9283,x9285)+~P7(f147(x9281,a2),x9284,x9285)
% 1.00/1.29 [903]~P7(f147(x9031,a2),x9032,x9034)+~P7(f147(x9031,a2),x9033,x9035)+P7(f147(x9031,a2),f28(f147(x9031,a2),x9032,x9033),f28(f147(x9031,a2),x9034,x9035))
% 1.00/1.29 [904]~P7(f147(x9041,a2),x9042,x9044)+~P7(f147(x9041,a2),x9045,x9043)+P7(f147(x9041,a2),f15(f147(x9041,a2),x9042,x9043),f15(f147(x9041,a2),x9044,x9045))
% 1.00/1.29 [977]P8(x9772,x9773,f132(x9774,x9773,x9772,x9771),x9771)+~E(f43(x9773,x9772,x9775,x9774),x9771)+E(x9771,f32(f147(x9772,a2)))
% 1.00/1.29 [978]~P8(x9781,x9782,x9783,x9785)+~P8(x9781,x9782,x9783,x9784)+P8(x9781,x9782,x9783,f28(f147(x9781,a2),x9784,x9785))
% 1.00/1.29 [1004]~P7(f147(x10041,a2),x10045,x10044)+~P31(f12(f12(f52(f147(x10041,x10042)),x10043),f20(x10041,x10042,x10045)))+P31(f12(f12(f52(f147(x10041,x10042)),x10043),f20(x10041,x10042,x10044)))
% 1.00/1.29 [1025]~P8(x10252,x10251,x10254,x10253)+~P7(f147(x10252,a2),x10255,x10253)+E(f43(x10251,x10252,f31(x10252,x10251,x10253,x10254),f43(x10252,x10251,x10254,x10255)),x10255)
% 1.00/1.29 [1041]~E(f43(x10413,x10412,x10415,x10414),x10411)+P7(f147(x10413,a2),f43(x10412,x10413,f132(x10414,x10413,x10412,x10411),x10411),x10414)+E(x10411,f32(f147(x10412,a2)))
% 1.00/1.29 [1186]P31(f12(f12(f52(f148(x11861,x11861)),f12(f12(f37(x11861,x11861),x11862),x11863)),f34(x11861,x11864)))+~P31(f12(f12(f52(f148(x11861,x11861)),f12(f12(f37(x11861,x11861),x11862),x11865)),f34(x11861,x11864)))+~P31(f12(f12(f52(f148(x11861,x11861)),f12(f12(f37(x11861,x11861),x11865),x11863)),f34(x11861,x11864)))
% 1.00/1.29 [1187]P31(f12(f12(f52(f148(x11871,x11871)),f12(f12(f37(x11871,x11871),x11872),x11873)),f46(x11871,x11874)))+~P31(f12(f12(f52(f148(x11871,x11871)),f12(f12(f37(x11871,x11871),x11872),x11875)),f46(x11871,x11874)))+~P31(f12(f12(f52(f148(x11871,x11871)),f12(f12(f37(x11871,x11871),x11875),x11873)),f34(x11871,x11874)))
% 1.00/1.29 [1188]~P31(f12(f12(f52(f148(x11881,x11881)),f12(f12(f37(x11881,x11881),x11882),x11885)),f34(x11881,x11884)))+P31(f12(f12(f52(f148(x11881,x11881)),f12(f12(f37(x11881,x11881),x11882),x11883)),f46(x11881,x11884)))+~P31(f12(f12(f52(f148(x11881,x11881)),f12(f12(f37(x11881,x11881),x11885),x11883)),f46(x11881,x11884)))
% 1.00/1.29 [1189]P31(f12(f12(f52(f148(x11891,x11891)),f12(f12(f37(x11891,x11891),x11892),x11893)),f46(x11891,x11894)))+~P31(f12(f12(f52(f148(x11891,x11891)),f12(f12(f37(x11891,x11891),x11892),x11895)),f46(x11891,x11894)))+~P31(f12(f12(f52(f148(x11891,x11891)),f12(f12(f37(x11891,x11891),x11895),x11893)),f46(x11891,x11894)))
% 1.00/1.29 [891]~E(f12(x8914,x8915),f32(f147(x8912,a2)))+E(f22(x8911,x8912,x8913,x8914),f32(f147(f147(x8911,x8912),a2)))+~P31(f12(f12(f52(x8911),x8915),x8913))
% 1.00/1.29 [905]~P14(x9051,x9053,x9055)+~P14(x9051,x9052,x9054)+P14(x9051,f28(f147(x9051,a2),x9052,x9053),f28(f147(f148(x9051,x9051),a2),x9054,x9055))
% 1.00/1.29 [954]E(f12(x9541,x9542),f29(x9543))+~P31(f12(f12(f52(f147(x9544,x9543)),x9541),f20(x9544,x9543,x9545)))+P31(f12(f12(f52(x9544),x9542),x9545))
% 1.00/1.29 [968]~P8(x9681,x9682,x9684,x9683)+E(f12(f31(x9681,x9682,x9683,x9684),f12(x9684,x9685)),x9685)+~P31(f12(f12(f52(x9681),x9685),x9683))
% 1.00/1.29 [969]~P8(x9691,x9692,x9694,x9693)+E(f12(f23(x9691,x9692,x9693,x9694),f12(x9694,x9695)),x9695)+~P31(f12(f12(f52(x9691),x9695),x9693))
% 1.00/1.29 [1132]~P8(x11322,x11323,x11321,x11324)+E(f12(x11321,f12(f23(x11322,x11323,x11324,x11321),x11325)),x11325)+~P31(f12(f12(f52(x11323),x11325),f43(x11322,x11323,x11321,x11324)))
% 1.00/1.29 [880]~E(x8803,x8804)+~E(x8802,x8805)+E(f12(f12(f42(x8801),x8802),f12(f12(f42(x8801),x8803),f32(f147(x8801,a2)))),f12(f12(f42(x8801),x8804),f12(f12(f42(x8801),x8805),f32(f147(x8801,a2)))))
% 1.00/1.29 [939]E(x9391,x9392)+E(x9393,x9391)+~E(f12(f12(f42(x9394),x9391),f12(f12(f42(x9394),x9395),f32(f147(x9394,a2)))),f12(f12(f42(x9394),x9392),f12(f12(f42(x9394),x9393),f32(f147(x9394,a2)))))
% 1.00/1.29 [940]E(x9401,x9402)+E(x9403,x9401)+~E(f12(f12(f42(x9404),x9403),f12(f12(f42(x9404),x9402),f32(f147(x9404,a2)))),f12(f12(f42(x9404),x9405),f12(f12(f42(x9404),x9401),f32(f147(x9404,a2)))))
% 1.00/1.29 [941]E(x9411,x9412)+E(x9411,x9413)+~E(f12(f12(f42(x9414),x9413),f12(f12(f42(x9414),x9412),f32(f147(x9414,a2)))),f12(f12(f42(x9414),x9415),f12(f12(f42(x9414),x9411),f32(f147(x9414,a2)))))
% 1.00/1.29 [942]E(x9421,x9422)+E(x9421,x9423)+~E(f12(f12(f42(x9424),x9421),f12(f12(f42(x9424),x9425),f32(f147(x9424,a2)))),f12(f12(f42(x9424),x9422),f12(f12(f42(x9424),x9423),f32(f147(x9424,a2)))))
% 1.00/1.29 [1210]~P31(f12(f12(f52(f147(x12101,x12102)),x12103),f20(x12101,x12102,x12104)))+E(f25(x12101,x12102,f12(f6(x12101,x12102,x12101,x12103),f25(x12101,x12101,f3(x12101),x12104)),x12104),x12103)+~P31(f12(f12(f52(f147(x12101,x12102)),x12103),f22(x12101,x12102,x12104,f16(f147(x12102,a2),x12101,x12105))))
% 1.00/1.29 [1229]P15(x12294,x12293,x12292,x12291)+E(f12(f118(x12291,x12292,x12293,x12294),x12295),f12(f121(x12291,x12292,x12293,x12294),x12295))+~P31(f12(f12(f52(f148(x12294,x12294)),f12(f12(f37(x12294,x12294),x12295),f120(x12291,x12292,x12293,x12294))),x12292))
% 1.00/1.29 [1033]~P14(x10331,x10333,x10334)+P31(f12(f12(f52(x10331),x10332),x10333))+~P31(f12(f12(f52(f148(x10331,x10331)),f12(f12(f37(x10331,x10331),x10335),x10332)),x10334))
% 1.00/1.29 [1034]~P14(x10341,x10343,x10344)+P31(f12(f12(f52(x10341),x10342),x10343))+~P31(f12(f12(f52(f148(x10341,x10341)),f12(f12(f37(x10341,x10341),x10342),x10345)),x10344))
% 1.00/1.29 [1035]~P9(x10351,x10353,x10354)+P31(f12(f12(f52(x10351),x10352),x10353))+~P31(f12(f12(f52(f148(x10351,x10351)),f12(f12(f37(x10351,x10351),x10355),x10352)),x10354))
% 1.00/1.29 [1036]~P9(x10361,x10363,x10364)+P31(f12(f12(f52(x10361),x10362),x10363))+~P31(f12(f12(f52(f148(x10361,x10361)),f12(f12(f37(x10361,x10361),x10362),x10365)),x10364))
% 1.00/1.29 [1078]~P9(x10781,x10785,x10782)+E(f12(f41(x10781,x10781,x10782),f12(f12(f42(x10781),x10783),f32(f147(x10781,a2)))),f12(f41(x10781,x10781,x10782),f12(f12(f42(x10781),x10784),f32(f147(x10781,a2)))))+~P31(f12(f12(f52(f148(x10781,x10781)),f12(f12(f37(x10781,x10781),x10783),x10784)),x10782))
% 1.00/1.29 [1131]~P9(x11311,x11315,x11312)+P7(f147(x11311,a2),f12(f41(x11311,x11311,x11312),f12(f12(f42(x11311),x11313),f32(f147(x11311,a2)))),f12(f41(x11311,x11311,x11312),f12(f12(f42(x11311),x11314),f32(f147(x11311,a2)))))+~P31(f12(f12(f52(f148(x11311,x11311)),f12(f12(f37(x11311,x11311),x11313),x11314)),x11312))
% 1.00/1.29 [1178]P31(f12(f12(f52(f148(x11781,x11781)),f12(f12(f37(x11781,x11781),x11782),x11783)),f46(x11781,x11784)))+~P31(f12(f12(f52(f148(x11781,x11781)),f12(f12(f37(x11781,x11781),x11782),x11785)),x11784))+~P31(f12(f12(f52(f148(x11781,x11781)),f12(f12(f37(x11781,x11781),x11785),x11783)),x11784))
% 1.00/1.29 [1179]P31(f12(f12(f52(f148(x11791,x11791)),f12(f12(f37(x11791,x11791),x11792),x11793)),f34(x11791,x11794)))+~P31(f12(f12(f52(f148(x11791,x11791)),f12(f12(f37(x11791,x11791),x11792),x11795)),f34(x11791,x11794)))+~P31(f12(f12(f52(f148(x11791,x11791)),f12(f12(f37(x11791,x11791),x11795),x11793)),x11794))
% 1.00/1.29 [1180]P31(f12(f12(f52(f148(x11801,x11801)),f12(f12(f37(x11801,x11801),x11802),x11803)),f34(x11801,x11804)))+~P31(f12(f12(f52(f148(x11801,x11801)),f12(f12(f37(x11801,x11801),x11805),x11803)),f34(x11801,x11804)))+~P31(f12(f12(f52(f148(x11801,x11801)),f12(f12(f37(x11801,x11801),x11802),x11805)),x11804))
% 1.00/1.29 [1181]~P31(f12(f12(f52(f148(x11811,x11811)),f12(f12(f37(x11811,x11811),x11812),x11815)),f34(x11811,x11814)))+P31(f12(f12(f52(f148(x11811,x11811)),f12(f12(f37(x11811,x11811),x11812),x11813)),f46(x11811,x11814)))+~P31(f12(f12(f52(f148(x11811,x11811)),f12(f12(f37(x11811,x11811),x11815),x11813)),x11814))
% 1.00/1.29 [1182]P31(f12(f12(f52(f148(x11821,x11821)),f12(f12(f37(x11821,x11821),x11822),x11823)),f46(x11821,x11824)))+~P31(f12(f12(f52(f148(x11821,x11821)),f12(f12(f37(x11821,x11821),x11822),x11825)),f46(x11821,x11824)))+~P31(f12(f12(f52(f148(x11821,x11821)),f12(f12(f37(x11821,x11821),x11825),x11823)),x11824))
% 1.00/1.29 [1183]~P31(f12(f12(f52(f148(x11831,x11831)),f12(f12(f37(x11831,x11831),x11835),x11833)),f34(x11831,x11834)))+P31(f12(f12(f52(f148(x11831,x11831)),f12(f12(f37(x11831,x11831),x11832),x11833)),f46(x11831,x11834)))+~P31(f12(f12(f52(f148(x11831,x11831)),f12(f12(f37(x11831,x11831),x11832),x11835)),x11834))
% 1.00/1.29 [1184]P31(f12(f12(f52(f148(x11841,x11841)),f12(f12(f37(x11841,x11841),x11842),x11843)),f46(x11841,x11844)))+~P31(f12(f12(f52(f148(x11841,x11841)),f12(f12(f37(x11841,x11841),x11845),x11843)),f46(x11841,x11844)))+~P31(f12(f12(f52(f148(x11841,x11841)),f12(f12(f37(x11841,x11841),x11842),x11845)),x11844))
% 1.00/1.29 [1222]~P31(f12(f12(f52(f147(x12221,x12222)),x12224),f20(x12221,x12222,x12225)))+E(f25(x12221,x12222,f12(f6(x12222,x12222,x12221,f25(x12222,x12222,f3(x12222),x12223)),x12224),x12225),x12224)+~P31(f12(f12(f52(f147(x12221,x12222)),x12224),f22(x12221,x12222,x12225,f16(f147(x12222,a2),x12221,x12223))))
% 1.00/1.29 [1177]~P8(x11771,x11772,x11773,x11775)+P8(x11771,x11772,x11773,f12(f12(f42(x11771),x11774),x11775))+P31(f12(f12(f52(x11772),f12(x11773,x11774)),f43(x11771,x11772,x11773,f15(f147(x11771,a2),x11775,f12(f12(f42(x11771),x11774),f32(f147(x11771,a2)))))))
% 1.00/1.29 [964]~P7(f147(x9643,a2),x9646,x9645)+P7(f147(x9641,a2),x9642,f43(x9643,x9641,x9644,x9645))+~E(x9642,f43(x9643,x9641,x9644,x9646))
% 1.00/1.29 [853]~P7(f147(x8535,f147(x8536,a2)),x8534,x8531)+P31(f12(f12(x8531,x8532),x8533))+~P31(f12(f12(x8534,x8532),x8533))
% 1.00/1.29 [947]~P7(f147(x9472,a2),x9474,x9476)+~P7(f147(f148(x9472,x9471),a2),x9473,x9475)+P7(f147(x9471,a2),f12(f41(x9472,x9471,x9473),x9474),f12(f41(x9472,x9471,x9475),x9476))
% 1.00/1.29 [1176]~P8(x11761,x11762,x11763,x11766)+P8(x11761,x11762,f21(x11761,x11762,x11763,x11764,x11765),x11766)+P31(f12(f12(f52(x11762),x11765),f43(x11761,x11762,x11763,x11766)))
% 1.00/1.29 [1284]~E(f12(x12846,f79(x12845,x12842,x12843,x12846,x12844,x12841)),f12(x12843,f79(x12845,x12842,x12843,x12846,x12844,x12841)))+P31(f12(f12(f52(f147(x12841,x12842)),x12843),f22(x12841,x12842,x12844,x12845)))+~P31(f12(f12(f52(f147(x12841,x12842)),x12846),f22(x12841,x12842,x12844,x12845)))
% 1.00/1.29 [1285]~E(f12(x12856,f79(x12855,x12852,x12856,x12853,x12854,x12851)),f12(x12853,f79(x12855,x12852,x12856,x12853,x12854,x12851)))+P31(f12(f12(f52(f147(x12851,x12852)),x12853),f22(x12851,x12852,x12854,x12855)))+~P31(f12(f12(f52(f147(x12851,x12852)),x12856),f22(x12851,x12852,x12854,x12855)))
% 1.00/1.29 [988]~E(x9882,f12(x9884,x9886))+P31(f12(f12(f52(x9881),x9882),f43(x9883,x9881,x9884,x9885)))+~P31(f12(f12(f52(x9883),x9886),x9885))
% 1.00/1.29 [999]~P31(f12(f12(x9994,x9996),x9995))+~P31(f12(f12(f52(x9991),x9996),x9993))+P31(f12(f19(x9991,f147(x9992,a2),x9993,x9994),x9995))
% 1.00/1.29 [1010]~P31(f12(f12(f52(x10101),x10102),f12(x10105,x10106)))+~P31(f12(f12(f52(x10103),x10106),x10104))+P31(f12(f12(f52(x10101),x10102),f19(x10103,f147(x10101,a2),x10104,x10105)))
% 1.00/1.29 [1058]E(f12(x10581,x10582),f29(x10583))+~P31(f12(f12(f52(f147(x10584,x10583)),x10581),f24(x10584,x10583,x10585,x10586)))+P31(f12(f12(f52(x10584),x10582),x10585))
% 1.00/1.29 [1065]~P7(f147(x10652,a2),x10655,x10656)+~E(f43(x10651,x10652,x10653,x10654),x10656)+E(f43(x10651,x10652,x10653,f43(x10652,x10651,f31(x10651,x10652,x10654,x10653),x10655)),x10655)
% 1.00/1.29 [1088]~P31(f12(f12(f52(f147(x10885,x10881)),x10882),f24(x10885,x10881,x10886,x10884)))+P31(f12(f12(f52(x10881),f12(x10882,x10883)),x10884))+~P31(f12(f12(f52(x10885),x10883),x10886))
% 1.00/1.29 [1095]~P31(f12(f12(f52(f147(x10955,x10951)),x10952),f22(x10955,x10951,x10956,x10954)))+P31(f12(f12(f52(x10951),f12(x10952,x10953)),f12(x10954,x10953)))+~P31(f12(f12(f52(x10955),x10953),x10956))
% 1.00/1.29 [1290]P31(f12(f12(f52(f147(x12901,x12903)),x12904),f22(x12901,x12903,x12906,x12902)))+~P31(f12(f12(f52(f147(x12901,x12903)),x12905),f22(x12901,x12903,x12906,x12902)))+P31(f12(f12(f52(x12901),f79(x12902,x12903,x12904,x12905,x12906,x12901)),x12906))
% 1.00/1.29 [1291]P31(f12(f12(f52(f147(x12911,x12913)),x12915),f22(x12911,x12913,x12916,x12912)))+~P31(f12(f12(f52(f147(x12911,x12913)),x12914),f22(x12911,x12913,x12916,x12912)))+P31(f12(f12(f52(x12911),f79(x12912,x12913,x12914,x12915,x12916,x12911)),x12916))
% 1.00/1.29 [1142]P31(f12(f12(f52(x11421),f12(x11422,x11423)),x11424))+~P31(f12(f12(f52(x11425),x11423),x11426))+~P31(f12(f12(f52(f147(x11425,x11421)),x11422),f22(x11425,x11421,x11426,f16(f147(x11421,a2),x11425,x11424))))
% 1.00/1.29 [994]~P31(f12(f12(x9944,x9945),x9946))+~P31(f12(f12(x9943,x9945),x9946))+P31(f12(f12(f28(f147(x9941,f147(x9942,a2)),x9943,x9944),x9945),x9946))
% 1.00/1.29 [1049]~P10(x10494,x10495,x10496,x10491)+E(f12(x10491,x10492),f12(x10491,x10493))+~P31(f12(f12(f52(f148(x10494,x10494)),f12(f12(f37(x10494,x10494),x10492),x10493)),x10496))
% 1.00/1.29 [1084]P31(f12(f12(f52(x10841),x10842),f12(f41(x10843,x10841,x10844),x10845)))+~P31(f12(f12(f52(x10843),x10846),x10845))+~P31(f12(f12(f52(f148(x10843,x10841)),f12(f12(f37(x10843,x10841),x10846),x10842)),x10844))
% 1.00/1.29 [1259]P31(f12(f12(f52(f147(x12591,x12594)),f21(x12591,x12594,x12595,x12592,f29(x12594))),f24(x12591,x12594,x12593,x12596)))+P31(f12(f12(f52(x12591),x12592),x12593))+~P31(f12(f12(f52(f147(x12591,x12594)),x12595),f24(x12591,x12594,f12(f12(f42(x12591),x12592),x12593),x12596)))
% 1.00/1.29 [1234]~P9(x12341,x12345,x12344)+P31(f12(f12(f52(f148(x12341,x12341)),f12(f12(f37(x12341,x12341),x12342),x12343)),x12344))+~P31(f12(f12(f52(x12341),x12346),f28(f147(x12341,a2),f12(f41(x12341,x12341,x12344),f12(f12(f42(x12341),x12342),f32(f147(x12341,a2)))),f12(f41(x12341,x12341,x12344),f12(f12(f42(x12341),x12343),f32(f147(x12341,a2)))))))
% 1.00/1.29 [1274]E(f12(x12741,f130(x12742,x12743,x12744,x12741,x12745,x12746)),f12(x12741,x12744))+~P31(f12(f12(f52(f147(x12746,x12743)),x12741),f24(x12746,x12743,f12(f12(f42(x12746),x12744),x12745),x12742)))+P31(f12(f12(f52(f147(x12746,x12743)),f21(x12746,x12743,x12741,x12744,f29(x12743))),f24(x12746,x12743,x12745,f15(f147(x12743,a2),x12742,f12(f12(f42(x12743),f12(x12741,x12744)),f32(f147(x12743,a2)))))))
% 1.00/1.29 [1294]P31(f12(f12(f52(x12941),f130(x12942,x12943,x12944,x12945,x12946,x12941)),x12946))+~P31(f12(f12(f52(f147(x12941,x12943)),x12945),f24(x12941,x12943,f12(f12(f42(x12941),x12944),x12946),x12942)))+P31(f12(f12(f52(f147(x12941,x12943)),f21(x12941,x12943,x12945,x12944,f29(x12943))),f24(x12941,x12943,x12946,f15(f147(x12943,a2),x12942,f12(f12(f42(x12943),f12(x12945,x12944)),f32(f147(x12943,a2)))))))
% 1.00/1.29 [1211]P12(x12111,x12112,x12113,x12114,x12115,f12(f12(x12113,x12116),x12117))+~E(f12(f12(x12113,x12116),x12117),x12114)+~E(x12115,f32(f147(x12111,a2)))
% 1.00/1.29 [1239]~P31(f12(x12396,x12393))+~P31(f12(f12(f52(f148(x12392,x12392)),f12(f12(f37(x12392,x12392),x12394),x12395)),f12(x12397,x12393)))+P31(f12(f12(f52(f148(f148(x12391,x12392),f148(x12391,x12392))),f12(f12(f37(f148(x12391,x12392),f148(x12391,x12392)),f12(f12(f37(x12391,x12392),x12393),x12394)),f12(f12(f37(x12391,x12392),x12393),x12395))),f39(x12391,x12392,x12396,x12397)))
% 1.00/1.29 [1301]~P15(x13017,x13016,x13015,x13011)+~E(f12(x13012,f119(x13011,x13015,x13016,x13017,x13012,x13014,x13013)),f12(x13014,f119(x13011,x13015,x13016,x13017,x13012,x13014,x13013)))+E(f12(f12(x13011,x13012),x13013),f12(f12(x13011,x13014),x13013))
% 1.00/1.29 [1302]~P12(x13022,x13027,x13023,x13026,x13021,f12(f12(x13023,x13025),x13024))+E(f12(f12(x13023,f136(x13024,x13025,x13021,x13026,x13023,x13027,x13022)),f137(x13024,x13025,x13021,x13026,x13023,x13027,x13022)),f12(f12(x13023,x13025),x13024))+E(x13021,f32(f147(x13022,a2)))
% 1.00/1.29 [1303]~P12(x13037,x13036,x13031,x13034,x13035,f12(f12(x13031,x13032),x13033))+E(f12(f12(x13031,f136(x13033,x13032,x13035,x13034,x13031,x13036,x13037)),f137(x13033,x13032,x13035,x13034,x13031,x13036,x13037)),f12(f12(x13031,x13032),x13033))+E(f12(f12(x13031,x13032),x13033),x13034)
% 1.00/1.29 [1306]~P12(x13062,x13067,x13066,x13065,x13061,f12(f12(x13066,x13064),x13063))+E(x13061,f32(f147(x13062,a2)))+P31(f12(f12(f52(x13062),f136(x13063,x13064,x13061,x13065,x13066,x13067,x13062)),x13061))
% 1.00/1.29 [1307]~P12(x13075,x13077,x13071,x13074,x13076,f12(f12(x13071,x13072),x13073))+E(f12(f12(x13071,x13072),x13073),x13074)+P31(f12(f12(f52(x13075),f136(x13073,x13072,x13076,x13074,x13071,x13077,x13075)),x13076))
% 1.00/1.29 [1322]E(f12(f12(f37(x13221,x13222),x13223),x13224),f12(f12(f37(x13221,x13222),x13225),x13226))+P31(f12(f12(f52(f148(f148(x13221,x13222),f148(x13221,x13222))),f12(f12(f37(f148(x13221,x13222),f148(x13221,x13222)),f12(f12(f37(x13221,x13222),f96(x13227,x13224,x13223,x13226,x13225,x13222,x13221)),f97(x13227,x13224,x13223,x13226,x13225,x13222,x13221))),f12(f12(f37(x13221,x13222),x13223),x13224))),f34(f148(x13221,x13222),x13227)))+~P31(f12(f12(f52(f148(f148(x13221,x13222),f148(x13221,x13222))),f12(f12(f37(f148(x13221,x13222),f148(x13221,x13222)),f12(f12(f37(x13221,x13222),x13225),x13226)),f12(f12(f37(x13221,x13222),x13223),x13224))),f34(f148(x13221,x13222),x13227)))
% 1.00/1.29 [1265]P12(x12651,x12652,x12653,x12654,x12655,f12(f12(x12653,x12656),x12657))+~P12(x12651,x12652,x12653,x12654,f15(f147(x12651,a2),x12655,f12(f12(f42(x12651),x12656),f32(f147(x12651,a2)))),x12657)+~P31(f12(f12(f52(x12651),x12656),x12655))
% 1.00/1.29 [1310]~P12(x13102,x13103,x13104,x13105,x13101,f12(f12(x13104,x13107),x13106))+P12(x13102,x13103,x13104,x13105,f15(f147(x13102,a2),x13101,f12(f12(f42(x13102),f136(x13106,x13107,x13101,x13105,x13104,x13103,x13102)),f32(f147(x13102,a2)))),f137(x13106,x13107,x13101,x13105,x13104,x13103,x13102))+E(x13101,f32(f147(x13102,a2)))
% 1.00/1.29 [1311]~P12(x13115,x13116,x13111,x13114,x13117,f12(f12(x13111,x13112),x13113))+P12(x13115,x13116,x13111,x13114,f15(f147(x13115,a2),x13117,f12(f12(f42(x13115),f136(x13113,x13112,x13117,x13114,x13111,x13116,x13115)),f32(f147(x13115,a2)))),f137(x13113,x13112,x13117,x13114,x13111,x13116,x13115))+E(f12(f12(x13111,x13112),x13113),x13114)
% 1.00/1.29 [1067]E(f12(x10671,x10672),f12(x10673,x10672))+~E(f12(f12(f12(f38(x10674,x10675),x10671),x10676),x10677),f12(f12(f12(f38(x10674,x10675),x10673),x10676),x10677))+~P31(f12(f12(f52(f148(x10674,x10674)),f12(f12(f37(x10674,x10674),x10672),x10677)),x10676))
% 1.00/1.29 [1256]~P31(f12(f12(f52(f147(x12561,x12562)),x12563),f24(x12561,x12562,x12566,x12567)))+~P31(f12(f12(f52(x12562),x12565),x12567))+P31(f12(f12(f52(f147(x12561,x12562)),f21(x12561,x12562,x12563,x12564,x12565)),f24(x12561,x12562,f12(f12(f42(x12561),x12564),x12566),x12567)))
% 1.00/1.29 [1314]~P15(x13145,x13147,x13146,x13141)+E(f12(f12(x13141,x13142),x13143),f12(f12(x13141,x13144),x13143))+P31(f12(f12(f52(f148(x13145,x13145)),f12(f12(f37(x13145,x13145),f119(x13141,x13146,x13147,x13145,x13142,x13144,x13143)),x13143)),x13146))
% 1.00/1.29 [1321]E(f12(f12(f37(x13211,x13212),x13213),x13214),f12(f12(f37(x13211,x13212),x13215),x13216))+~P31(f12(f12(f52(f148(f148(x13211,x13212),f148(x13211,x13212))),f12(f12(f37(f148(x13211,x13212),f148(x13211,x13212)),f12(f12(f37(x13211,x13212),x13213),x13214)),f12(f12(f37(x13211,x13212),x13215),x13216))),f34(f148(x13211,x13212),x13217)))+P31(f12(f12(f52(f148(f148(x13211,x13212),f148(x13211,x13212))),f12(f12(f37(f148(x13211,x13212),f148(x13211,x13212)),f12(f12(f37(x13211,x13212),x13213),x13214)),f12(f12(f37(x13211,x13212),f96(x13217,x13216,x13215,x13214,x13213,x13212,x13211)),f97(x13217,x13216,x13215,x13214,x13213,x13212,x13211)))),x13217))
% 1.00/1.29 [1228]~P8(x12281,x12282,x12283,x12286)+P8(x12281,x12282,f21(x12281,x12282,x12283,x12284,x12285),x12286)+~P31(f12(f12(f52(f147(x12281,x12282)),x12283),f24(x12281,x12282,x12286,f15(f147(x12282,a2),x12287,f12(f12(f42(x12282),x12285),f32(f147(x12282,a2)))))))
% 1.00/1.29 [1267]~P31(f12(f12(f52(x12672),x12675),x12677))+P31(f12(f12(f52(f147(x12671,x12672)),f21(x12671,x12672,x12673,x12674,x12675)),f24(x12671,x12672,f12(f12(f42(x12671),x12674),x12676),x12677)))+~P31(f12(f12(f52(f147(x12671,x12672)),x12673),f24(x12671,x12672,x12676,f15(f147(x12672,a2),x12677,f12(f12(f42(x12672),x12675),f32(f147(x12672,a2)))))))
% 1.00/1.29 [1151]~E(f43(x11511,x11513,x11515,x11516),x11518)+~E(f43(x11513,x11512,x11514,x11518),x11517)+E(f43(x11511,x11512,f25(x11511,x11512,f12(f6(x11513,x11512,x11511,x11514),x11515),x11516),x11516),x11517)
% 1.00/1.29 [1268]~P31(f12(f12(f52(f147(x12683,x12682)),x12684),f22(x12683,x12682,x12688,f16(f147(x12682,a2),x12683,x12687))))+~P31(f12(f12(f52(f147(x12681,x12683)),x12685),f22(x12681,x12683,x12686,f16(f147(x12683,a2),x12681,x12688))))+P31(f12(f12(f52(f147(x12681,x12682)),f25(x12681,x12682,f12(f6(x12683,x12682,x12681,x12684),x12685),x12686)),f22(x12681,x12682,x12686,f16(f147(x12682,a2),x12681,x12687))))
% 1.00/1.29 [1238]~E(x12383,x12385)+P31(f12(f12(f52(f148(f148(x12381,x12382),f148(x12381,x12382))),f12(f12(f37(f148(x12381,x12382),f148(x12381,x12382)),f12(f12(f37(x12381,x12382),x12383),x12384)),f12(f12(f37(x12381,x12382),x12385),x12386))),f51(x12381,x12382,x12387,x12388)))+~P31(f12(f12(f52(f148(x12382,x12382)),f12(f12(f37(x12382,x12382),x12384),x12386)),x12388))
% 1.00/1.29 [1262]E(x12621,x12622)+~P31(f12(f12(f52(f148(f148(x12623,x12625),f148(x12623,x12625))),f12(f12(f37(f148(x12623,x12625),f148(x12623,x12625)),f12(f12(f37(x12623,x12625),x12621),x12626)),f12(f12(f37(x12623,x12625),x12622),x12627))),f51(x12623,x12625,x12624,x12628)))+P31(f12(f12(f52(f148(x12623,x12623)),f12(f12(f37(x12623,x12623),x12621),x12622)),x12624))
% 1.00/1.29 [1264]~P31(f12(f12(f52(f148(f148(x12641,x12645),f148(x12641,x12645))),f12(f12(f37(f148(x12641,x12645),f148(x12641,x12645)),f12(f12(f37(x12641,x12645),x12642),x12646)),f12(f12(f37(x12641,x12645),x12643),x12647))),f51(x12641,x12645,x12644,x12648)))+P31(f12(f12(f52(f148(x12641,x12641)),f12(f12(f37(x12641,x12641),x12642),x12643)),x12644))+P31(f12(f12(f52(f148(x12645,x12645)),f12(f12(f37(x12645,x12645),x12646),x12647)),x12648))
% 1.00/1.29 [752]~P7(x7523,x7522,x7521)+~P7(x7523,x7521,x7522)+E(x7521,x7522)+~P30(x7523)
% 1.00/1.29 [1105]E(x11051,x11052)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11051),x11052)),x11053))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11052),x11051)),x11053))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11053),a5))
% 1.00/1.29 [777]~P30(x7771)+~P7(x7771,x7774,x7773)+P7(x7771,x7772,x7773)+~P7(x7771,x7772,x7774)
% 1.00/1.29 [778]~P27(x7781)+~P7(x7781,x7782,x7784)+P7(x7781,x7782,x7783)+~P7(x7781,x7784,x7783)
% 1.00/1.29 [829]~P25(x8291)+~P7(x8291,x8292,x8294)+~P7(x8291,x8292,x8293)+P7(x8291,x8292,f28(x8291,x8293,x8294))
% 1.00/1.29 [952]~E(x9523,x9521)+E(x9521,x9522)+E(x9523,x9522)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x9522),x9523)),f10(x9524,x9521)))
% 1.00/1.29 [953]~E(x9533,x9531)+E(x9531,x9532)+E(x9533,x9532)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x9533),x9532)),f11(x9534,x9531)))
% 1.00/1.29 [840]E(x8401,x8402)+~E(f12(f12(f42(x8403),x8404),x8401),f12(f12(f42(x8403),x8404),x8402))+P31(f12(f12(f52(x8403),x8404),x8402))+P31(f12(f12(f52(x8403),x8404),x8401))
% 1.00/1.29 [1073]E(x10731,x10732)+E(x10733,x10732)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10733),x10731)),f11(x10734,x10732)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10733),x10731)),x10734))
% 1.00/1.29 [1074]E(x10741,x10742)+E(x10743,x10742)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10743),x10741)),f10(x10744,x10742)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10743),x10741)),x10744))
% 1.00/1.29 [1075]E(x10751,x10752)+E(x10753,x10751)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10753),x10751)),f11(x10754,x10752)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10753),x10751)),x10754))
% 1.00/1.29 [1076]E(x10761,x10762)+E(x10761,x10763)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10761),x10763)),f10(x10764,x10762)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10761),x10763)),x10764))
% 1.00/1.29 [1224]~P2(x12243)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12241),x12242)),f12(x12243,x12244)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12241),x12242)),f12(x12244,f59(x12243,x12244,x12241,x12242))))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12244),a7))
% 1.00/1.29 [754]~P22(x7545)+E(x7541,x7542)+~E(x7543,x7544)+~E(f15(x7545,x7543,x7544),f15(x7545,x7541,x7542))
% 1.00/1.29 [813]~P24(x8131)+~P7(x8131,x8134,x8135)+P7(x8131,x8132,x8133)+~E(f15(x8131,x8134,x8135),f15(x8131,x8132,x8133))
% 1.00/1.29 [860]~P25(x8601)+~P7(x8601,x8603,x8605)+~P7(x8601,x8602,x8604)+P7(x8601,f28(x8601,x8602,x8603),f28(x8601,x8604,x8605))
% 1.00/1.29 [1050]~P8(x10502,x10503,x10505,x10501)+~P7(f147(x10503,a2),f43(x10502,x10503,x10505,x10501),x10504)+E(f43(x10503,x10502,f134(x10504,x10503,x10502,x10501),x10504),x10501)+E(x10501,f32(f147(x10502,a2)))
% 1.00/1.29 [1216]~P31(f12(x12161,x12164))+P31(f12(x12161,x12162))+~P31(f12(f12(f52(f148(x12165,x12165)),f12(f12(f37(x12165,x12165),x12162),x12164)),f34(x12165,x12163)))+P31(f12(x12161,f107(x12161,x12163,x12164,x12162,x12165)))
% 1.00/1.29 [1217]~P31(f12(x12171,x12174))+P31(f12(x12171,x12172))+~P31(f12(f12(f52(f148(x12175,x12175)),f12(f12(f37(x12175,x12175),x12174),x12172)),f34(x12175,x12173)))+P31(f12(x12171,f108(x12171,x12173,x12172,x12174,x12175)))
% 1.00/1.29 [1230]E(x12301,x12302)+~E(f12(x12301,f102(x12302,x12303,x12301,x12304,x12305)),f12(x12302,f102(x12302,x12303,x12301,x12304,x12305)))+~P31(f12(f12(f52(f147(x12305,x12304)),x12302),f20(x12305,x12304,x12303)))+~P31(f12(f12(f52(f147(x12305,x12304)),x12301),f20(x12305,x12304,x12303)))
% 1.00/1.29 [1231]P31(f12(x12311,x12312))+~P31(f12(x12311,x12313))+~P31(f12(f12(f52(f148(x12315,x12315)),f12(f12(f37(x12315,x12315),x12312),x12313)),f34(x12315,x12314)))+~P31(f12(x12311,f114(x12311,x12314,x12313,x12312,x12315)))
% 1.00/1.29 [1232]P31(f12(x12321,x12322))+~P31(f12(x12321,x12323))+~P31(f12(f12(f52(f148(x12325,x12325)),f12(f12(f37(x12325,x12325),x12323),x12322)),f34(x12325,x12324)))+~P31(f12(x12321,f111(x12321,x12324,x12322,x12323,x12325)))
% 1.00/1.29 [1269]~P31(f12(x12691,x12694))+P31(f12(x12691,x12692))+P31(f12(f12(f52(f148(x12693,x12693)),f12(f12(f37(x12693,x12693),x12694),f108(x12691,x12695,x12692,x12694,x12693))),f34(x12693,x12695)))+~P31(f12(f12(f52(f148(x12693,x12693)),f12(f12(f37(x12693,x12693),x12694),x12692)),f34(x12693,x12695)))
% 1.00/1.29 [1286]~P31(f12(x12861,x12865))+P31(f12(x12861,x12862))+~P31(f12(f12(f52(f148(x12863,x12863)),f12(f12(f37(x12863,x12863),x12862),x12865)),f34(x12863,x12864)))+P31(f12(f12(f52(f148(x12863,x12863)),f12(f12(f37(x12863,x12863),f107(x12861,x12864,x12865,x12862,x12863)),x12865)),f34(x12863,x12864)))
% 1.00/1.29 [878]~E(x8781,x8782)+~E(f28(f147(x8783,a2),x8784,x8785),f32(f147(x8783,a2)))+~P31(f12(f12(f52(x8783),x8782),x8785))+~P31(f12(f12(f52(x8783),x8781),x8784))
% 1.00/1.29 [1248]E(x12481,x12482)+~P31(f12(f12(f52(f147(x12483,x12485)),x12482),f20(x12483,x12485,x12484)))+~P31(f12(f12(f52(f147(x12483,x12485)),x12481),f20(x12483,x12485,x12484)))+P31(f12(f12(f52(x12483),f102(x12481,x12484,x12482,x12485,x12483)),x12484))
% 1.00/1.29 [1292]~P31(f12(x12921,x12925))+P31(f12(x12921,x12922))+~P31(f12(f12(f52(f148(x12923,x12923)),f12(f12(f37(x12923,x12923),x12922),x12925)),f34(x12923,x12924)))+P31(f12(f12(f52(f148(x12923,x12923)),f12(f12(f37(x12923,x12923),f114(x12921,x12924,x12925,x12922,x12923)),f107(x12921,x12924,x12925,x12922,x12923))),x12924))
% 1.00/1.29 [1293]~P31(f12(x12931,x12935))+P31(f12(x12931,x12932))+~P31(f12(f12(f52(f148(x12933,x12933)),f12(f12(f37(x12933,x12933),x12935),x12932)),f34(x12933,x12934)))+P31(f12(f12(f52(f148(x12933,x12933)),f12(f12(f37(x12933,x12933),f108(x12931,x12934,x12932,x12935,x12933)),f111(x12931,x12934,x12932,x12935,x12933))),x12934))
% 1.00/1.29 [1068]~P9(x10681,x10685,x10684)+~E(f12(f41(x10681,x10681,x10684),f12(f12(f42(x10681),x10682),f32(f147(x10681,a2)))),f12(f41(x10681,x10681,x10684),f12(f12(f42(x10681),x10683),f32(f147(x10681,a2)))))+~P31(f12(f12(f52(x10681),x10683),x10685))+P31(f12(f12(f52(f148(x10681,x10681)),f12(f12(f37(x10681,x10681),x10682),x10683)),x10684))
% 1.00/1.29 [1101]E(x11011,x11012)+~E(x11013,x11014)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11013),x11014)),f8(x11015,x11011,x11012)))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11015),a5))
% 1.00/1.29 [1118]E(x11181,x11182)+~E(x11183,x11184)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11183),x11184)),f12(f12(f12(a9,x11185),x11181),x11182)))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11185),a5))
% 1.00/1.29 [1143]~P9(x11431,x11435,x11434)+~P7(f147(x11431,a2),f12(f41(x11431,x11431,x11434),f12(f12(f42(x11431),x11433),f32(f147(x11431,a2)))),f12(f41(x11431,x11431,x11434),f12(f12(f42(x11431),x11432),f32(f147(x11431,a2)))))+~P31(f12(f12(f52(x11431),x11433),x11435))+P31(f12(f12(f52(f148(x11431,x11431)),f12(f12(f37(x11431,x11431),x11432),x11433)),x11434))
% 1.00/1.29 [1202]E(x12021,x12022)+~E(f12(f31(x12023,x12024,x12025,x12026),x12021),f12(f31(x12023,x12024,x12025,x12026),x12022))+~P31(f12(f12(f52(x12024),x12022),f43(x12023,x12024,x12026,x12025)))+~P31(f12(f12(f52(x12024),x12021),f43(x12023,x12024,x12026,x12025)))
% 1.00/1.29 [966]~P8(x9661,x9662,x9664,x9663)+~E(f12(x9664,x9666),x9665)+E(f12(f31(x9661,x9662,x9663,x9664),x9665),x9666)+~P31(f12(f12(f52(x9661),x9666),x9663))
% 1.00/1.29 [967]~P8(x9671,x9672,x9674,x9673)+~E(f12(x9674,x9676),x9675)+E(f12(f23(x9671,x9672,x9673,x9674),x9675),x9676)+~P31(f12(f12(f52(x9671),x9676),x9673))
% 1.00/1.29 [1053]~P8(x10532,x10531,x10533,x10536)+~P7(f147(x10532,a2),x10534,x10536)+~P7(f147(x10532,a2),x10535,x10536)+E(f28(f147(x10531,a2),f43(x10532,x10531,x10533,x10534),f43(x10532,x10531,x10533,x10535)),f43(x10532,x10531,x10533,f28(f147(x10532,a2),x10534,x10535)))
% 1.00/1.29 [1054]~P8(x10542,x10541,x10543,x10546)+~P7(f147(x10542,a2),x10544,x10546)+~P7(f147(x10542,a2),x10545,x10546)+E(f15(f147(x10541,a2),f43(x10542,x10541,x10543,x10544),f43(x10542,x10541,x10543,x10545)),f43(x10542,x10541,x10543,f15(f147(x10542,a2),x10544,x10545)))
% 1.00/1.29 [1213]~P8(x12131,x12132,x12134,x12133)+~P7(f147(x12131,a2),x12133,x12136)+~P31(f12(f12(f52(x12132),x12135),f43(x12131,x12132,x12134,x12133)))+P31(f12(f12(f52(x12131),f12(f23(x12131,x12132,x12133,x12134),x12135)),x12136))
% 1.00/1.29 [1011]~P9(x10111,x10116,x10113)+~P10(x10111,f147(x10112,a2),x10113,x10115)+E(f19(x10111,f147(x10112,a2),f12(f41(x10111,x10111,x10113),f12(f12(f42(x10111),x10114),f32(f147(x10111,a2)))),x10115),f12(x10115,x10114))+~P31(f12(f12(f52(x10111),x10114),x10116))
% 1.00/1.29 [1139]E(x11391,x11392)+~P19(x11393,x11394,x11395)+~P31(f12(f12(f52(f148(x11393,x11394)),f12(f12(f37(x11393,x11394),x11396),x11392)),x11395))+~P31(f12(f12(f52(f148(x11393,x11394)),f12(f12(f37(x11393,x11394),x11396),x11391)),x11395))
% 1.00/1.29 [1316]~P31(f12(f12(x13161,x13166),x13165))+P31(f12(f12(x13161,f90(x13161,x13164,x13165,x13166,x13163,x13162,x13167,x13168)),f95(x13161,x13164,x13165,x13166,x13163,x13162,x13167,x13168)))+P31(f12(f12(x13161,x13162),x13163))+~P31(f12(f12(f52(f148(f148(x13168,x13167),f148(x13168,x13167))),f12(f12(f37(f148(x13168,x13167),f148(x13168,x13167)),f12(f12(f37(x13168,x13167),x13162),x13163)),f12(f12(f37(x13168,x13167),x13166),x13165))),f34(f148(x13168,x13167),x13164)))
% 1.00/1.29 [1317]~P31(f12(f12(x13171,x13176),x13175))+P31(f12(f12(x13171,f84(x13171,x13174,x13173,x13172,x13175,x13176,x13177,x13178)),f85(x13171,x13174,x13173,x13172,x13175,x13176,x13177,x13178)))+P31(f12(f12(x13171,x13172),x13173))+~P31(f12(f12(f52(f148(f148(x13178,x13177),f148(x13178,x13177))),f12(f12(f37(f148(x13178,x13177),f148(x13178,x13177)),f12(f12(f37(x13178,x13177),x13176),x13175)),f12(f12(f37(x13178,x13177),x13172),x13173))),f34(f148(x13178,x13177),x13174)))
% 1.00/1.29 [1319]~P31(f12(f12(x13191,f91(x13191,x13196,x13195,x13194,x13193,x13192,x13197,x13198)),f94(x13191,x13196,x13195,x13194,x13193,x13192,x13197,x13198)))+P31(f12(f12(x13191,x13192),x13193))+~P31(f12(f12(x13191,x13194),x13195))+~P31(f12(f12(f52(f148(f148(x13198,x13197),f148(x13198,x13197))),f12(f12(f37(f148(x13198,x13197),f148(x13198,x13197)),f12(f12(f37(x13198,x13197),x13192),x13193)),f12(f12(f37(x13198,x13197),x13194),x13195))),f34(f148(x13198,x13197),x13196)))
% 1.00/1.29 [1320]~P31(f12(f12(x13201,f92(x13201,x13206,x13203,x13202,x13205,x13204,x13207,x13208)),f93(x13201,x13206,x13203,x13202,x13205,x13204,x13207,x13208)))+P31(f12(f12(x13201,x13202),x13203))+~P31(f12(f12(x13201,x13204),x13205))+~P31(f12(f12(f52(f148(f148(x13208,x13207),f148(x13208,x13207))),f12(f12(f37(f148(x13208,x13207),f148(x13208,x13207)),f12(f12(f37(x13208,x13207),x13204),x13205)),f12(f12(f37(x13208,x13207),x13202),x13203))),f34(f148(x13208,x13207),x13206)))
% 1.00/1.29 [1323]~P31(f12(f12(x13231,x13236),x13237))+P31(f12(f12(x13231,x13232),x13233))+P31(f12(f12(f52(f148(f148(x13234,x13235),f148(x13234,x13235))),f12(f12(f37(f148(x13234,x13235),f148(x13234,x13235)),f12(f12(f37(x13234,x13235),x13236),x13237)),f12(f12(f37(x13234,x13235),f84(x13231,x13238,x13233,x13232,x13237,x13236,x13235,x13234)),f85(x13231,x13238,x13233,x13232,x13237,x13236,x13235,x13234)))),f34(f148(x13234,x13235),x13238)))+~P31(f12(f12(f52(f148(f148(x13234,x13235),f148(x13234,x13235))),f12(f12(f37(f148(x13234,x13235),f148(x13234,x13235)),f12(f12(f37(x13234,x13235),x13236),x13237)),f12(f12(f37(x13234,x13235),x13232),x13233))),f34(f148(x13234,x13235),x13238)))
% 1.00/1.29 [1324]~P31(f12(f12(x13241,x13248),x13247))+P31(f12(f12(x13241,x13242),x13243))+P31(f12(f12(f52(f148(f148(x13244,x13245),f148(x13244,x13245))),f12(f12(f37(f148(x13244,x13245),f148(x13244,x13245)),f12(f12(f37(x13244,x13245),f90(x13241,x13246,x13247,x13248,x13243,x13242,x13245,x13244)),f95(x13241,x13246,x13247,x13248,x13243,x13242,x13245,x13244))),f12(f12(f37(x13244,x13245),x13248),x13247))),f34(f148(x13244,x13245),x13246)))+~P31(f12(f12(f52(f148(f148(x13244,x13245),f148(x13244,x13245))),f12(f12(f37(f148(x13244,x13245),f148(x13244,x13245)),f12(f12(f37(x13244,x13245),x13242),x13243)),f12(f12(f37(x13244,x13245),x13248),x13247))),f34(f148(x13244,x13245),x13246)))
% 1.00/1.29 [1325]~P31(f12(f12(x13251,x13258),x13257))+P31(f12(f12(x13251,x13252),x13253))+~P31(f12(f12(f52(f148(f148(x13254,x13255),f148(x13254,x13255))),f12(f12(f37(f148(x13254,x13255),f148(x13254,x13255)),f12(f12(f37(x13254,x13255),x13252),x13253)),f12(f12(f37(x13254,x13255),x13258),x13257))),f34(f148(x13254,x13255),x13256)))+P31(f12(f12(f52(f148(f148(x13254,x13255),f148(x13254,x13255))),f12(f12(f37(f148(x13254,x13255),f148(x13254,x13255)),f12(f12(f37(x13254,x13255),f91(x13251,x13256,x13257,x13258,x13253,x13252,x13255,x13254)),f94(x13251,x13256,x13257,x13258,x13253,x13252,x13255,x13254))),f12(f12(f37(x13254,x13255),f90(x13251,x13256,x13257,x13258,x13253,x13252,x13255,x13254)),f95(x13251,x13256,x13257,x13258,x13253,x13252,x13255,x13254)))),x13256))
% 1.00/1.29 [1326]~P31(f12(f12(x13261,x13268),x13267))+P31(f12(f12(x13261,x13262),x13263))+~P31(f12(f12(f52(f148(f148(x13264,x13265),f148(x13264,x13265))),f12(f12(f37(f148(x13264,x13265),f148(x13264,x13265)),f12(f12(f37(x13264,x13265),x13268),x13267)),f12(f12(f37(x13264,x13265),x13262),x13263))),f34(f148(x13264,x13265),x13266)))+P31(f12(f12(f52(f148(f148(x13264,x13265),f148(x13264,x13265))),f12(f12(f37(f148(x13264,x13265),f148(x13264,x13265)),f12(f12(f37(x13264,x13265),f84(x13261,x13266,x13263,x13262,x13267,x13268,x13265,x13264)),f85(x13261,x13266,x13263,x13262,x13267,x13268,x13265,x13264))),f12(f12(f37(x13264,x13265),f92(x13261,x13266,x13263,x13262,x13267,x13268,x13265,x13264)),f93(x13261,x13266,x13263,x13262,x13267,x13268,x13265,x13264)))),x13266))
% 1.00/1.29 [1266]P12(x12661,x12662,x12663,x12664,x12665,f12(f12(x12663,x12666),x12667))+~P12(x12661,x12662,x12663,x12664,f15(f147(x12661,a2),x12665,f12(f12(f42(x12661),x12668),f32(f147(x12661,a2)))),x12669)+~E(f12(f12(x12663,x12666),x12667),f12(f12(x12663,x12668),x12669))+~P31(f12(f12(f52(x12661),x12668),x12665))
% 1.00/1.29 [1271]E(f25(x12711,x12712,f12(f6(x12713,x12712,x12711,x12714),f25(x12711,x12713,f12(f6(x12715,x12713,x12711,x12716),x12717),x12718)),x12718),f25(x12711,x12712,f12(f6(x12715,x12712,x12711,f25(x12715,x12712,f12(f6(x12713,x12712,x12715,x12714),x12716),x12719)),x12717),x12718))+~P31(f12(f12(f52(f147(x12715,x12713)),x12716),f22(x12715,x12713,x12719,f16(f147(x12713,a2),x12715,x127110))))+~P31(f12(f12(f52(f147(x12711,x12715)),x12717),f22(x12711,x12715,x12718,f16(f147(x12715,a2),x12711,x12719))))+~P31(f12(f12(f52(f147(x12713,x12712)),x12714),f22(x12713,x12712,x127110,f16(f147(x12712,a2),x12713,x127111))))
% 1.00/1.29 [1205]~P19(x12051,x12051,x12054)+P31(f12(f12(f52(f148(x12051,x12051)),f12(f12(f37(x12051,x12051),x12052),x12053)),f34(x12051,x12054)))+P31(f12(f12(f52(f148(x12051,x12051)),f12(f12(f37(x12051,x12051),x12053),x12052)),f34(x12051,x12054)))+~P31(f12(f12(f52(f148(x12051,x12051)),f12(f12(f37(x12051,x12051),x12055),x12052)),f34(x12051,x12054)))+~P31(f12(f12(f52(f148(x12051,x12051)),f12(f12(f37(x12051,x12051),x12055),x12053)),f34(x12051,x12054)))
% 1.00/1.29 [1026]E(x10261,x10262)+~P9(x10263,x10264,x10265)+E(f28(f147(x10263,a2),x10261,x10262),f32(f147(x10263,a2)))+~P31(f12(f12(f52(f147(x10263,a2)),x10262),f12(f12(f17(x10263),x10264),x10265)))+~P31(f12(f12(f52(f147(x10263,a2)),x10261),f12(f12(f17(x10263),x10264),x10265)))
% 1.00/1.29 [1122]~P9(x11221,x11225,x11224)+~E(f12(f12(f17(x11221),f12(f12(f42(x11221),x11222),f32(f147(x11221,a2)))),x11224),f12(f12(f17(x11221),f12(f12(f42(x11221),x11223),f32(f147(x11221,a2)))),x11224))+~P31(f12(f12(f52(x11221),x11223),x11225))+~P31(f12(f12(f52(x11221),x11222),x11225))+P31(f12(f12(f52(f148(x11221,x11221)),f12(f12(f37(x11221,x11221),x11222),x11223)),x11224))
% 1.00/1.29 [1124]~P9(x11241,x11245,x11243)+E(f12(f12(f17(x11241),f12(f12(f42(x11241),x11242),f32(f147(x11241,a2)))),x11243),f12(f12(f17(x11241),f12(f12(f42(x11241),x11244),f32(f147(x11241,a2)))),x11243))+~P31(f12(f12(f52(x11241),x11244),x11245))+~P31(f12(f12(f52(x11241),x11242),x11245))+~P31(f12(f12(f52(f148(x11241,x11241)),f12(f12(f37(x11241,x11241),x11242),x11244)),x11243))
% 1.00/1.29 [1154]E(x11541,x11542)+~E(x11545,x11541)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11543),x11545)),f8(x11544,x11541,x11542)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11543),x11542)),x11544))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11544),a5))
% 1.00/1.29 [1172]E(x11721,x11722)+~E(x11725,x11721)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11725),x11723)),f12(f12(f12(a9,x11724),x11722),x11721)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11722),x11723)),x11724))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11724),a5))
% 1.00/1.29 [932]E(x9321,x9322)+~P8(x9324,x9325,x9323,x9326)+~E(f12(x9323,x9321),f12(x9323,x9322))+~P31(f12(f12(f52(x9324),x9322),x9326))+~P31(f12(f12(f52(x9324),x9321),x9326))
% 1.00/1.29 [1098]E(x10981,x10982)+~P20(x10983,x10985,x10984)+~P31(f12(f12(f52(x10983),x10982),x10985))+~P31(f12(f12(f52(x10983),x10981),x10985))+P31(f12(f12(f52(f148(x10983,x10983)),f12(f12(f37(x10983,x10983),x10981),x10982)),x10984))+P31(f12(f12(f52(f148(x10983,x10983)),f12(f12(f37(x10983,x10983),x10982),x10981)),x10984))
% 1.00/1.29 [1144]~E(x11443,x11441)+E(x11441,x11442)+E(x11443,x11444)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11444),x11443)),f8(x11445,x11441,x11442)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11444),x11442)),x11445))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11445),a5))
% 1.00/1.29 [1155]E(x11551,x11552)+E(x11551,x11553)+E(x11554,x11551)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11554),x11553)),f8(x11555,x11551,x11552)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11554),x11553)),x11555))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11555),a5))
% 1.00/1.29 [1157]~E(x11573,x11571)+E(x11571,x11572)+E(x11573,x11574)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11573),x11574)),f12(f12(f12(a9,x11575),x11572),x11571)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11572),x11574)),x11575))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11575),a5))
% 1.00/1.29 [1173]E(x11731,x11732)+E(x11731,x11733)+E(x11734,x11731)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11733),x11734)),f12(f12(f12(a9,x11735),x11732),x11731)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11733),x11734)),x11735))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11735),a5))
% 1.00/1.29 [1051]~E(x10513,x10512)+~E(x10514,x10511)+E(x10511,x10512)+E(x10511,x10513)+E(x10514,x10513)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10514),x10513)),f8(x10515,x10511,x10512)))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10515),a5))
% 1.00/1.29 [1061]~E(x10613,x10612)+~E(x10614,x10611)+E(x10611,x10612)+E(x10611,x10613)+E(x10614,x10613)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x10613),x10614)),f12(f12(f12(a9,x10615),x10612),x10611)))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x10615),a5))
% 1.00/1.29 [1145]E(x11454,x11453)+E(x11451,x11452)+E(x11453,x11451)+E(x11454,x11451)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11454),x11453)),f8(x11455,x11451,x11452)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11454),x11453)),x11455))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11455),a5))
% 1.00/1.29 [1146]~E(x11463,x11461)+E(x11461,x11462)+E(x11463,x11462)+E(x11464,x11463)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11464),x11463)),f8(x11465,x11462,x11461)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11464),x11463)),x11465))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11465),a5))
% 1.00/1.29 [1147]~E(x11474,x11471)+E(x11471,x11472)+E(x11471,x11473)+E(x11474,x11472)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11474),x11472)),f8(x11475,x11471,x11473)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11473),x11472)),x11475))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11475),a5))
% 1.00/1.29 [1148]~E(x11484,x11482)+~E(x11483,x11481)+E(x11481,x11482)+E(x11483,x11484)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11483),x11484)),f8(x11485,x11481,x11482)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11483),x11482)),x11485))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11485),a5))
% 1.00/1.29 [1156]E(x11563,x11561)+E(x11561,x11562)+E(x11563,x11562)+~E(x11565,x11563)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11565),x11561)),f8(x11564,x11563,x11562)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11562),x11561)),x11564))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11564),a5))
% 1.00/1.29 [1158]E(x11584,x11583)+E(x11581,x11582)+E(x11583,x11581)+E(x11584,x11581)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11584),x11583)),f12(f12(f12(a9,x11585),x11582),x11581)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11584),x11583)),x11585))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11585),a5))
% 1.00/1.29 [1159]~E(x11593,x11591)+E(x11591,x11592)+E(x11593,x11592)+E(x11593,x11594)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11593),x11594)),f12(f12(f12(a9,x11595),x11591),x11592)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11593),x11594)),x11595))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11595),a5))
% 1.00/1.29 [1160]~E(x11604,x11601)+E(x11601,x11602)+E(x11601,x11603)+E(x11604,x11603)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11603),x11604)),f12(f12(f12(a9,x11605),x11602),x11601)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11603),x11602)),x11605))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11605),a5))
% 1.00/1.29 [1161]~E(x11614,x11612)+~E(x11613,x11611)+E(x11611,x11612)+E(x11613,x11614)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11614),x11613)),f12(f12(f12(a9,x11615),x11612),x11611)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11612),x11613)),x11615))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11615),a5))
% 1.00/1.29 [1174]E(x11743,x11741)+E(x11741,x11742)+E(x11743,x11742)+~E(x11745,x11743)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11741),x11745)),f12(f12(f12(a9,x11744),x11742),x11743)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11741),x11742)),x11744))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11744),a5))
% 1.00/1.29 [1193]E(x11931,x11932)+E(x11933,x11932)+E(x11934,x11933)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11934),x11933)),f8(x11935,x11932,x11931)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11934),x11933)),x11935))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11931),x11933)),x11935))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11935),a5))
% 1.00/1.29 [1194]E(x11941,x11942)+E(x11943,x11941)+E(x11943,x11944)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11943),x11944)),f8(x11945,x11941,x11942)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11943),x11944)),x11945))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11943),x11942)),x11945))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11945),a5))
% 1.00/1.29 [1195]~E(x11954,x11951)+E(x11951,x11952)+E(x11953,x11954)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11953),x11954)),f8(x11955,x11952,x11951)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11953),x11954)),x11955))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11953),x11951)),x11955))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11955),a5))
% 1.00/1.29 [1196]~E(x11963,x11961)+E(x11961,x11962)+E(x11963,x11964)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11963),x11964)),f8(x11965,x11961,x11962)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11962),x11964)),x11965))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11963),x11962)),x11965))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11965),a5))
% 1.00/1.29 [1197]E(x11971,x11972)+E(x11973,x11971)+E(x11974,x11973)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11974),x11973)),f12(f12(f12(a9,x11975),x11972),x11971)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11974),x11973)),x11975))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11972),x11973)),x11975))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11975),a5))
% 1.00/1.29 [1198]E(x11981,x11982)+E(x11983,x11982)+E(x11983,x11984)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11983),x11984)),f12(f12(f12(a9,x11985),x11981),x11982)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11983),x11984)),x11985))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11983),x11981)),x11985))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11985),a5))
% 1.00/1.29 [1199]~E(x11993,x11991)+E(x11991,x11992)+E(x11993,x11994)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11993),x11994)),f12(f12(f12(a9,x11995),x11991),x11992)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11993),x11994)),x11995))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x11991),x11994)),x11995))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x11995),a5))
% 1.00/1.29 [1200]~E(x12003,x12001)+E(x12001,x12002)+E(x12003,x12004)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12004),x12003)),f12(f12(f12(a9,x12005),x12002),x12001)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12002),x12003)),x12005))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12004),x12002)),x12005))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x12005),a5))
% 1.00/1.29 [1212]E(x12121,x12122)+E(x12123,x12124)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12123),x12124)),f8(x12125,x12122,x12121)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12123),x12124)),x12125))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12121),x12124)),x12125))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12123),x12121)),x12125))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x12125),a5))
% 1.00/1.29 [1214]E(x12141,x12142)+E(x12143,x12144)+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12143),x12144)),f12(f12(f12(a9,x12145),x12141),x12142)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12143),x12144)),x12145))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12141),x12144)),x12145))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12143),x12141)),x12145))+~P31(f12(f12(f52(f147(f148(a145,a145),a2)),x12145),a5))
% 1.00/1.29 [1272]~P1(x12723)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12721),x12722)),f12(x12723,x12725)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12721),x12722)),f12(x12723,x12724)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12721),x12722)),f12(x12725,f129(x12723,x12724,x12725,x12721,x12722))))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12721),x12722)),f12(x12724,f129(x12723,x12724,x12725,x12721,x12722))))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12724),a7))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12725),a7))
% 1.00/1.29 [1273]~P1(x12733)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12731),x12732)),f12(x12733,x12735)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12731),x12732)),f12(x12733,x12734)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12731),x12732)),f12(x12735,f129(x12733,x12735,x12734,x12731,x12732))))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12731),x12732)),f12(x12734,f129(x12733,x12735,x12734,x12731,x12732))))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12734),a7))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12735),a7))
% 1.00/1.29 [1279]~P1(x12793)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12791),x12792)),f12(x12793,x12795)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12791),x12792)),f12(x12793,x12794)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12791),x12792)),f12(x12795,f129(x12793,x12794,x12795,x12791,x12792))))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12791),x12792)),f12(x12794,f129(x12793,x12794,x12795,x12791,x12792))))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12794),a7))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12795),a7))
% 1.00/1.29 [1280]~P1(x12803)+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12801),x12802)),f12(x12803,x12805)))+P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12801),x12802)),f12(x12803,x12804)))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12801),x12802)),f12(x12805,f129(x12803,x12805,x12804,x12801,x12802))))+~P31(f12(f12(f52(f148(a145,a145)),f12(f12(f37(a145,a145),x12801),x12802)),f12(x12804,f129(x12803,x12805,x12804,x12801,x12802))))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12804),a7))+~P31(f12(f12(f52(f147(a146,f147(f148(a145,a145),a2))),x12805),a7))
% 1.00/1.29 [1128]~P9(x11281,x11287,x11284)+~E(x11285,x11286)+~P31(f12(f12(f52(x11281),x11283),x11286))+~P31(f12(f12(f52(x11281),x11282),x11285))+~P31(f12(f12(f52(f147(x11281,a2)),x11286),f12(f12(f17(x11281),x11287),x11284)))+~P31(f12(f12(f52(f147(x11281,a2)),x11285),f12(f12(f17(x11281),x11287),x11284)))+P31(f12(f12(f52(f148(x11281,x11281)),f12(f12(f37(x11281,x11281),x11282),x11283)),x11284))
% 1.00/1.29 [1163]E(x11631,x11632)+~P9(x11633,x11634,x11635)+~P31(f12(f12(f52(x11633),x11636),x11632))+~P31(f12(f12(f52(x11633),x11637),x11631))+~P31(f12(f12(f52(f147(x11633,a2)),x11632),f12(f12(f17(x11633),x11634),x11635)))+~P31(f12(f12(f52(f147(x11633,a2)),x11631),f12(f12(f17(x11633),x11634),x11635)))+~P31(f12(f12(f52(f148(x11633,x11633)),f12(f12(f37(x11633,x11633),x11637),x11636)),x11635))
% 1.00/1.29 %EqnAxiom
% 1.00/1.29 [1]E(x11,x11)
% 1.00/1.29 [2]E(x22,x21)+~E(x21,x22)
% 1.00/1.29 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.00/1.29 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.00/1.29 [5]~E(x51,x52)+E(f12(x51,x53),f12(x52,x53))
% 1.00/1.29 [6]~E(x61,x62)+E(f12(x63,x61),f12(x63,x62))
% 1.00/1.29 [7]~E(x71,x72)+E(f37(x71,x73),f37(x72,x73))
% 1.00/1.29 [8]~E(x81,x82)+E(f37(x83,x81),f37(x83,x82))
% 1.00/1.29 [9]~E(x91,x92)+E(f14(x91,x93),f14(x92,x93))
% 1.00/1.29 [10]~E(x101,x102)+E(f14(x103,x101),f14(x103,x102))
% 1.00/1.29 [11]~E(x111,x112)+E(f27(x111,x113,x114),f27(x112,x113,x114))
% 1.00/1.29 [12]~E(x121,x122)+E(f27(x123,x121,x124),f27(x123,x122,x124))
% 1.00/1.29 [13]~E(x131,x132)+E(f27(x133,x134,x131),f27(x133,x134,x132))
% 1.00/1.29 [14]~E(x141,x142)+E(f34(x141,x143),f34(x142,x143))
% 1.00/1.29 [15]~E(x151,x152)+E(f34(x153,x151),f34(x153,x152))
% 1.00/1.29 [16]~E(x161,x162)+E(f148(x161,x163),f148(x162,x163))
% 1.00/1.29 [17]~E(x171,x172)+E(f148(x173,x171),f148(x173,x172))
% 1.00/1.29 [18]~E(x181,x182)+E(f52(x181),f52(x182))
% 1.00/1.29 [19]~E(x191,x192)+E(f46(x191,x193),f46(x192,x193))
% 1.00/1.29 [20]~E(x201,x202)+E(f46(x203,x201),f46(x203,x202))
% 1.00/1.29 [21]~E(x211,x212)+E(f144(x211,x213,x214,x215,x216),f144(x212,x213,x214,x215,x216))
% 1.00/1.29 [22]~E(x221,x222)+E(f144(x223,x221,x224,x225,x226),f144(x223,x222,x224,x225,x226))
% 1.00/1.29 [23]~E(x231,x232)+E(f144(x233,x234,x231,x235,x236),f144(x233,x234,x232,x235,x236))
% 1.00/1.29 [24]~E(x241,x242)+E(f144(x243,x244,x245,x241,x246),f144(x243,x244,x245,x242,x246))
% 1.00/1.29 [25]~E(x251,x252)+E(f144(x253,x254,x255,x256,x251),f144(x253,x254,x255,x256,x252))
% 1.00/1.29 [26]~E(x261,x262)+E(f6(x261,x263,x264,x265),f6(x262,x263,x264,x265))
% 1.00/1.29 [27]~E(x271,x272)+E(f6(x273,x271,x274,x275),f6(x273,x272,x274,x275))
% 1.00/1.29 [28]~E(x281,x282)+E(f6(x283,x284,x281,x285),f6(x283,x284,x282,x285))
% 1.00/1.29 [29]~E(x291,x292)+E(f6(x293,x294,x295,x291),f6(x293,x294,x295,x292))
% 1.00/1.29 [30]~E(x301,x302)+E(f147(x301,x303),f147(x302,x303))
% 1.00/1.29 [31]~E(x311,x312)+E(f147(x313,x311),f147(x313,x312))
% 1.00/1.29 [32]~E(x321,x322)+E(f89(x321,x323,x324),f89(x322,x323,x324))
% 1.00/1.29 [33]~E(x331,x332)+E(f89(x333,x331,x334),f89(x333,x332,x334))
% 1.00/1.29 [34]~E(x341,x342)+E(f89(x343,x344,x341),f89(x343,x344,x342))
% 1.00/1.29 [35]~E(x351,x352)+E(f19(x351,x353,x354,x355),f19(x352,x353,x354,x355))
% 1.00/1.29 [36]~E(x361,x362)+E(f19(x363,x361,x364,x365),f19(x363,x362,x364,x365))
% 1.00/1.29 [37]~E(x371,x372)+E(f19(x373,x374,x371,x375),f19(x373,x374,x372,x375))
% 1.00/1.29 [38]~E(x381,x382)+E(f19(x383,x384,x385,x381),f19(x383,x384,x385,x382))
% 1.00/1.29 [39]~E(x391,x392)+E(f100(x391,x393,x394),f100(x392,x393,x394))
% 1.00/1.29 [40]~E(x401,x402)+E(f100(x403,x401,x404),f100(x403,x402,x404))
% 1.00/1.29 [41]~E(x411,x412)+E(f100(x413,x414,x411),f100(x413,x414,x412))
% 1.00/1.29 [42]~E(x421,x422)+E(f141(x421,x423,x424,x425,x426),f141(x422,x423,x424,x425,x426))
% 1.00/1.29 [43]~E(x431,x432)+E(f141(x433,x431,x434,x435,x436),f141(x433,x432,x434,x435,x436))
% 1.00/1.29 [44]~E(x441,x442)+E(f141(x443,x444,x441,x445,x446),f141(x443,x444,x442,x445,x446))
% 1.00/1.29 [45]~E(x451,x452)+E(f141(x453,x454,x455,x451,x456),f141(x453,x454,x455,x452,x456))
% 1.00/1.29 [46]~E(x461,x462)+E(f141(x463,x464,x465,x466,x461),f141(x463,x464,x465,x466,x462))
% 1.00/1.29 [47]~E(x471,x472)+E(f28(x471,x473,x474),f28(x472,x473,x474))
% 1.00/1.29 [48]~E(x481,x482)+E(f28(x483,x481,x484),f28(x483,x482,x484))
% 1.00/1.29 [49]~E(x491,x492)+E(f28(x493,x494,x491),f28(x493,x494,x492))
% 1.00/1.29 [50]~E(x501,x502)+E(f35(x501,x503),f35(x502,x503))
% 1.00/1.29 [51]~E(x511,x512)+E(f35(x513,x511),f35(x513,x512))
% 1.00/1.29 [52]~E(x521,x522)+E(f4(x521,x523,x524),f4(x522,x523,x524))
% 1.00/1.29 [53]~E(x531,x532)+E(f4(x533,x531,x534),f4(x533,x532,x534))
% 1.00/1.29 [54]~E(x541,x542)+E(f4(x543,x544,x541),f4(x543,x544,x542))
% 1.00/1.29 [55]~E(x551,x552)+E(f42(x551),f42(x552))
% 1.00/1.29 [56]~E(x561,x562)+E(f36(x561,x563,x564),f36(x562,x563,x564))
% 1.00/1.29 [57]~E(x571,x572)+E(f36(x573,x571,x574),f36(x573,x572,x574))
% 1.00/1.29 [58]~E(x581,x582)+E(f36(x583,x584,x581),f36(x583,x584,x582))
% 1.00/1.29 [59]~E(x591,x592)+E(f43(x591,x593,x594,x595),f43(x592,x593,x594,x595))
% 1.00/1.29 [60]~E(x601,x602)+E(f43(x603,x601,x604,x605),f43(x603,x602,x604,x605))
% 1.00/1.29 [61]~E(x611,x612)+E(f43(x613,x614,x611,x615),f43(x613,x614,x612,x615))
% 1.00/1.29 [62]~E(x621,x622)+E(f43(x623,x624,x625,x621),f43(x623,x624,x625,x622))
% 1.00/1.29 [63]~E(x631,x632)+E(f40(x631,x633,x634),f40(x632,x633,x634))
% 1.00/1.29 [64]~E(x641,x642)+E(f40(x643,x641,x644),f40(x643,x642,x644))
% 1.00/1.29 [65]~E(x651,x652)+E(f40(x653,x654,x651),f40(x653,x654,x652))
% 1.00/1.29 [66]~E(x661,x662)+E(f41(x661,x663,x664),f41(x662,x663,x664))
% 1.00/1.29 [67]~E(x671,x672)+E(f41(x673,x671,x674),f41(x673,x672,x674))
% 1.00/1.29 [68]~E(x681,x682)+E(f41(x683,x684,x681),f41(x683,x684,x682))
% 1.00/1.29 [69]~E(x691,x692)+E(f32(x691),f32(x692))
% 1.00/1.29 [70]~E(x701,x702)+E(f15(x701,x703,x704),f15(x702,x703,x704))
% 1.00/1.29 [71]~E(x711,x712)+E(f15(x713,x711,x714),f15(x713,x712,x714))
% 1.00/1.29 [72]~E(x721,x722)+E(f15(x723,x724,x721),f15(x723,x724,x722))
% 1.00/1.29 [73]~E(x731,x732)+E(f17(x731),f17(x732))
% 1.00/1.29 [74]~E(x741,x742)+E(f54(x741,x743),f54(x742,x743))
% 1.00/1.29 [75]~E(x751,x752)+E(f54(x753,x751),f54(x753,x752))
% 1.00/1.29 [76]~E(x761,x762)+E(f24(x761,x763,x764,x765),f24(x762,x763,x764,x765))
% 1.00/1.29 [77]~E(x771,x772)+E(f24(x773,x771,x774,x775),f24(x773,x772,x774,x775))
% 1.00/1.29 [78]~E(x781,x782)+E(f24(x783,x784,x781,x785),f24(x783,x784,x782,x785))
% 1.00/1.29 [79]~E(x791,x792)+E(f24(x793,x794,x795,x791),f24(x793,x794,x795,x792))
% 1.00/1.29 [80]~E(x801,x802)+E(f110(x801,x803,x804,x805),f110(x802,x803,x804,x805))
% 1.00/1.29 [81]~E(x811,x812)+E(f110(x813,x811,x814,x815),f110(x813,x812,x814,x815))
% 1.00/1.29 [82]~E(x821,x822)+E(f110(x823,x824,x821,x825),f110(x823,x824,x822,x825))
% 1.00/1.29 [83]~E(x831,x832)+E(f110(x833,x834,x835,x831),f110(x833,x834,x835,x832))
% 1.00/1.29 [84]~E(x841,x842)+E(f16(x841,x843,x844),f16(x842,x843,x844))
% 1.00/1.29 [85]~E(x851,x852)+E(f16(x853,x851,x854),f16(x853,x852,x854))
% 1.00/1.29 [86]~E(x861,x862)+E(f16(x863,x864,x861),f16(x863,x864,x862))
% 1.00/1.29 [87]~E(x871,x872)+E(f25(x871,x873,x874,x875),f25(x872,x873,x874,x875))
% 1.00/1.29 [88]~E(x881,x882)+E(f25(x883,x881,x884,x885),f25(x883,x882,x884,x885))
% 1.00/1.29 [89]~E(x891,x892)+E(f25(x893,x894,x891,x895),f25(x893,x894,x892,x895))
% 1.00/1.29 [90]~E(x901,x902)+E(f25(x903,x904,x905,x901),f25(x903,x904,x905,x902))
% 1.00/1.29 [91]~E(x911,x912)+E(f58(x911),f58(x912))
% 1.00/1.29 [92]~E(x921,x922)+E(f70(x921,x923,x924,x925),f70(x922,x923,x924,x925))
% 1.00/1.29 [93]~E(x931,x932)+E(f70(x933,x931,x934,x935),f70(x933,x932,x934,x935))
% 1.00/1.29 [94]~E(x941,x942)+E(f70(x943,x944,x941,x945),f70(x943,x944,x942,x945))
% 1.00/1.29 [95]~E(x951,x952)+E(f70(x953,x954,x955,x951),f70(x953,x954,x955,x952))
% 1.00/1.29 [96]~E(x961,x962)+E(f10(x961,x963),f10(x962,x963))
% 1.00/1.29 [97]~E(x971,x972)+E(f10(x973,x971),f10(x973,x972))
% 1.00/1.29 [98]~E(x981,x982)+E(f29(x981),f29(x982))
% 1.00/1.29 [99]~E(x991,x992)+E(f22(x991,x993,x994,x995),f22(x992,x993,x994,x995))
% 1.00/1.29 [100]~E(x1001,x1002)+E(f22(x1003,x1001,x1004,x1005),f22(x1003,x1002,x1004,x1005))
% 1.00/1.29 [101]~E(x1011,x1012)+E(f22(x1013,x1014,x1011,x1015),f22(x1013,x1014,x1012,x1015))
% 1.00/1.29 [102]~E(x1021,x1022)+E(f22(x1023,x1024,x1025,x1021),f22(x1023,x1024,x1025,x1022))
% 1.00/1.29 [103]~E(x1031,x1032)+E(f20(x1031,x1033,x1034),f20(x1032,x1033,x1034))
% 1.00/1.29 [104]~E(x1041,x1042)+E(f20(x1043,x1041,x1044),f20(x1043,x1042,x1044))
% 1.00/1.29 [105]~E(x1051,x1052)+E(f20(x1053,x1054,x1051),f20(x1053,x1054,x1052))
% 1.00/1.29 [106]~E(x1061,x1062)+E(f50(x1061,x1063),f50(x1062,x1063))
% 1.00/1.29 [107]~E(x1071,x1072)+E(f50(x1073,x1071),f50(x1073,x1072))
% 1.00/1.29 [108]~E(x1081,x1082)+E(f55(x1081),f55(x1082))
% 1.00/1.29 [109]~E(x1091,x1092)+E(f137(x1091,x1093,x1094,x1095,x1096,x1097,x1098),f137(x1092,x1093,x1094,x1095,x1096,x1097,x1098))
% 1.00/1.29 [110]~E(x1101,x1102)+E(f137(x1103,x1101,x1104,x1105,x1106,x1107,x1108),f137(x1103,x1102,x1104,x1105,x1106,x1107,x1108))
% 1.00/1.29 [111]~E(x1111,x1112)+E(f137(x1113,x1114,x1111,x1115,x1116,x1117,x1118),f137(x1113,x1114,x1112,x1115,x1116,x1117,x1118))
% 1.00/1.29 [112]~E(x1121,x1122)+E(f137(x1123,x1124,x1125,x1121,x1126,x1127,x1128),f137(x1123,x1124,x1125,x1122,x1126,x1127,x1128))
% 1.00/1.29 [113]~E(x1131,x1132)+E(f137(x1133,x1134,x1135,x1136,x1131,x1137,x1138),f137(x1133,x1134,x1135,x1136,x1132,x1137,x1138))
% 1.00/1.29 [114]~E(x1141,x1142)+E(f137(x1143,x1144,x1145,x1146,x1147,x1141,x1148),f137(x1143,x1144,x1145,x1146,x1147,x1142,x1148))
% 1.00/1.29 [115]~E(x1151,x1152)+E(f137(x1153,x1154,x1155,x1156,x1157,x1158,x1151),f137(x1153,x1154,x1155,x1156,x1157,x1158,x1152))
% 1.00/1.29 [116]~E(x1161,x1162)+E(f21(x1161,x1163,x1164,x1165,x1166),f21(x1162,x1163,x1164,x1165,x1166))
% 1.00/1.29 [117]~E(x1171,x1172)+E(f21(x1173,x1171,x1174,x1175,x1176),f21(x1173,x1172,x1174,x1175,x1176))
% 1.00/1.29 [118]~E(x1181,x1182)+E(f21(x1183,x1184,x1181,x1185,x1186),f21(x1183,x1184,x1182,x1185,x1186))
% 1.00/1.29 [119]~E(x1191,x1192)+E(f21(x1193,x1194,x1195,x1191,x1196),f21(x1193,x1194,x1195,x1192,x1196))
% 1.00/1.29 [120]~E(x1201,x1202)+E(f21(x1203,x1204,x1205,x1206,x1201),f21(x1203,x1204,x1205,x1206,x1202))
% 1.00/1.29 [121]~E(x1211,x1212)+E(f118(x1211,x1213,x1214,x1215),f118(x1212,x1213,x1214,x1215))
% 1.00/1.29 [122]~E(x1221,x1222)+E(f118(x1223,x1221,x1224,x1225),f118(x1223,x1222,x1224,x1225))
% 1.00/1.29 [123]~E(x1231,x1232)+E(f118(x1233,x1234,x1231,x1235),f118(x1233,x1234,x1232,x1235))
% 1.00/1.29 [124]~E(x1241,x1242)+E(f118(x1243,x1244,x1245,x1241),f118(x1243,x1244,x1245,x1242))
% 1.00/1.29 [125]~E(x1251,x1252)+E(f79(x1251,x1253,x1254,x1255,x1256,x1257),f79(x1252,x1253,x1254,x1255,x1256,x1257))
% 1.00/1.29 [126]~E(x1261,x1262)+E(f79(x1263,x1261,x1264,x1265,x1266,x1267),f79(x1263,x1262,x1264,x1265,x1266,x1267))
% 1.00/1.29 [127]~E(x1271,x1272)+E(f79(x1273,x1274,x1271,x1275,x1276,x1277),f79(x1273,x1274,x1272,x1275,x1276,x1277))
% 1.00/1.29 [128]~E(x1281,x1282)+E(f79(x1283,x1284,x1285,x1281,x1286,x1287),f79(x1283,x1284,x1285,x1282,x1286,x1287))
% 1.00/1.29 [129]~E(x1291,x1292)+E(f79(x1293,x1294,x1295,x1296,x1291,x1297),f79(x1293,x1294,x1295,x1296,x1292,x1297))
% 1.00/1.29 [130]~E(x1301,x1302)+E(f79(x1303,x1304,x1305,x1306,x1307,x1301),f79(x1303,x1304,x1305,x1306,x1307,x1302))
% 1.00/1.29 [131]~E(x1311,x1312)+E(f64(x1311,x1313,x1314,x1315,x1316),f64(x1312,x1313,x1314,x1315,x1316))
% 1.00/1.29 [132]~E(x1321,x1322)+E(f64(x1323,x1321,x1324,x1325,x1326),f64(x1323,x1322,x1324,x1325,x1326))
% 1.00/1.29 [133]~E(x1331,x1332)+E(f64(x1333,x1334,x1331,x1335,x1336),f64(x1333,x1334,x1332,x1335,x1336))
% 1.00/1.29 [134]~E(x1341,x1342)+E(f64(x1343,x1344,x1345,x1341,x1346),f64(x1343,x1344,x1345,x1342,x1346))
% 1.00/1.29 [135]~E(x1351,x1352)+E(f64(x1353,x1354,x1355,x1356,x1351),f64(x1353,x1354,x1355,x1356,x1352))
% 1.00/1.29 [136]~E(x1361,x1362)+E(f81(x1361,x1363,x1364),f81(x1362,x1363,x1364))
% 1.00/1.29 [137]~E(x1371,x1372)+E(f81(x1373,x1371,x1374),f81(x1373,x1372,x1374))
% 1.00/1.29 [138]~E(x1381,x1382)+E(f81(x1383,x1384,x1381),f81(x1383,x1384,x1382))
% 1.00/1.29 [139]~E(x1391,x1392)+E(f61(x1391,x1393),f61(x1392,x1393))
% 1.00/1.29 [140]~E(x1401,x1402)+E(f61(x1403,x1401),f61(x1403,x1402))
% 1.00/1.29 [141]~E(x1411,x1412)+E(f129(x1411,x1413,x1414,x1415,x1416),f129(x1412,x1413,x1414,x1415,x1416))
% 1.00/1.29 [142]~E(x1421,x1422)+E(f129(x1423,x1421,x1424,x1425,x1426),f129(x1423,x1422,x1424,x1425,x1426))
% 1.00/1.29 [143]~E(x1431,x1432)+E(f129(x1433,x1434,x1431,x1435,x1436),f129(x1433,x1434,x1432,x1435,x1436))
% 1.00/1.29 [144]~E(x1441,x1442)+E(f129(x1443,x1444,x1445,x1441,x1446),f129(x1443,x1444,x1445,x1442,x1446))
% 1.00/1.29 [145]~E(x1451,x1452)+E(f129(x1453,x1454,x1455,x1456,x1451),f129(x1453,x1454,x1455,x1456,x1452))
% 1.00/1.29 [146]~E(x1461,x1462)+E(f57(x1461),f57(x1462))
% 1.00/1.29 [147]~E(x1471,x1472)+E(f31(x1471,x1473,x1474,x1475),f31(x1472,x1473,x1474,x1475))
% 1.00/1.29 [148]~E(x1481,x1482)+E(f31(x1483,x1481,x1484,x1485),f31(x1483,x1482,x1484,x1485))
% 1.00/1.29 [149]~E(x1491,x1492)+E(f31(x1493,x1494,x1491,x1495),f31(x1493,x1494,x1492,x1495))
% 1.00/1.29 [150]~E(x1501,x1502)+E(f31(x1503,x1504,x1505,x1501),f31(x1503,x1504,x1505,x1502))
% 1.00/1.29 [151]~E(x1511,x1512)+E(f133(x1511),f133(x1512))
% 1.00/1.29 [152]~E(x1521,x1522)+E(f11(x1521,x1523),f11(x1522,x1523))
% 1.00/1.29 [153]~E(x1531,x1532)+E(f11(x1533,x1531),f11(x1533,x1532))
% 1.00/1.29 [154]~E(x1541,x1542)+E(f49(x1541,x1543),f49(x1542,x1543))
% 1.00/1.29 [155]~E(x1551,x1552)+E(f49(x1553,x1551),f49(x1553,x1552))
% 1.00/1.29 [156]~E(x1561,x1562)+E(f44(x1561,x1563,x1564,x1565),f44(x1562,x1563,x1564,x1565))
% 1.00/1.29 [157]~E(x1571,x1572)+E(f44(x1573,x1571,x1574,x1575),f44(x1573,x1572,x1574,x1575))
% 1.00/1.29 [158]~E(x1581,x1582)+E(f44(x1583,x1584,x1581,x1585),f44(x1583,x1584,x1582,x1585))
% 1.00/1.29 [159]~E(x1591,x1592)+E(f44(x1593,x1594,x1595,x1591),f44(x1593,x1594,x1595,x1592))
% 1.00/1.29 [160]~E(x1601,x1602)+E(f124(x1601,x1603,x1604,x1605),f124(x1602,x1603,x1604,x1605))
% 1.00/1.29 [161]~E(x1611,x1612)+E(f124(x1613,x1611,x1614,x1615),f124(x1613,x1612,x1614,x1615))
% 1.00/1.29 [162]~E(x1621,x1622)+E(f124(x1623,x1624,x1621,x1625),f124(x1623,x1624,x1622,x1625))
% 1.00/1.29 [163]~E(x1631,x1632)+E(f124(x1633,x1634,x1635,x1631),f124(x1633,x1634,x1635,x1632))
% 1.00/1.29 [164]~E(x1641,x1642)+E(f128(x1641,x1643,x1644,x1645),f128(x1642,x1643,x1644,x1645))
% 1.00/1.29 [165]~E(x1651,x1652)+E(f128(x1653,x1651,x1654,x1655),f128(x1653,x1652,x1654,x1655))
% 1.00/1.29 [166]~E(x1661,x1662)+E(f128(x1663,x1664,x1661,x1665),f128(x1663,x1664,x1662,x1665))
% 1.00/1.29 [167]~E(x1671,x1672)+E(f128(x1673,x1674,x1675,x1671),f128(x1673,x1674,x1675,x1672))
% 1.00/1.29 [168]~E(x1681,x1682)+E(f65(x1681,x1683),f65(x1682,x1683))
% 1.00/1.29 [169]~E(x1691,x1692)+E(f65(x1693,x1691),f65(x1693,x1692))
% 1.00/1.29 [170]~E(x1701,x1702)+E(f130(x1701,x1703,x1704,x1705,x1706,x1707),f130(x1702,x1703,x1704,x1705,x1706,x1707))
% 1.00/1.29 [171]~E(x1711,x1712)+E(f130(x1713,x1711,x1714,x1715,x1716,x1717),f130(x1713,x1712,x1714,x1715,x1716,x1717))
% 1.00/1.29 [172]~E(x1721,x1722)+E(f130(x1723,x1724,x1721,x1725,x1726,x1727),f130(x1723,x1724,x1722,x1725,x1726,x1727))
% 1.00/1.29 [173]~E(x1731,x1732)+E(f130(x1733,x1734,x1735,x1731,x1736,x1737),f130(x1733,x1734,x1735,x1732,x1736,x1737))
% 1.00/1.29 [174]~E(x1741,x1742)+E(f130(x1743,x1744,x1745,x1746,x1741,x1747),f130(x1743,x1744,x1745,x1746,x1742,x1747))
% 1.00/1.29 [175]~E(x1751,x1752)+E(f130(x1753,x1754,x1755,x1756,x1757,x1751),f130(x1753,x1754,x1755,x1756,x1757,x1752))
% 1.00/1.29 [176]~E(x1761,x1762)+E(f51(x1761,x1763,x1764,x1765),f51(x1762,x1763,x1764,x1765))
% 1.00/1.29 [177]~E(x1771,x1772)+E(f51(x1773,x1771,x1774,x1775),f51(x1773,x1772,x1774,x1775))
% 1.00/1.29 [178]~E(x1781,x1782)+E(f51(x1783,x1784,x1781,x1785),f51(x1783,x1784,x1782,x1785))
% 1.00/1.29 [179]~E(x1791,x1792)+E(f51(x1793,x1794,x1795,x1791),f51(x1793,x1794,x1795,x1792))
% 1.00/1.29 [180]~E(x1801,x1802)+E(f8(x1801,x1803,x1804),f8(x1802,x1803,x1804))
% 1.00/1.29 [181]~E(x1811,x1812)+E(f8(x1813,x1811,x1814),f8(x1813,x1812,x1814))
% 1.00/1.29 [182]~E(x1821,x1822)+E(f8(x1823,x1824,x1821),f8(x1823,x1824,x1822))
% 1.00/1.29 [183]~E(x1831,x1832)+E(f76(x1831,x1833,x1834),f76(x1832,x1833,x1834))
% 1.00/1.29 [184]~E(x1841,x1842)+E(f76(x1843,x1841,x1844),f76(x1843,x1842,x1844))
% 1.00/1.29 [185]~E(x1851,x1852)+E(f76(x1853,x1854,x1851),f76(x1853,x1854,x1852))
% 1.00/1.29 [186]~E(x1861,x1862)+E(f123(x1861,x1863,x1864,x1865),f123(x1862,x1863,x1864,x1865))
% 1.00/1.29 [187]~E(x1871,x1872)+E(f123(x1873,x1871,x1874,x1875),f123(x1873,x1872,x1874,x1875))
% 1.00/1.29 [188]~E(x1881,x1882)+E(f123(x1883,x1884,x1881,x1885),f123(x1883,x1884,x1882,x1885))
% 1.00/1.29 [189]~E(x1891,x1892)+E(f123(x1893,x1894,x1895,x1891),f123(x1893,x1894,x1895,x1892))
% 1.00/1.29 [190]~E(x1901,x1902)+E(f62(x1901,x1903,x1904,x1905),f62(x1902,x1903,x1904,x1905))
% 1.00/1.29 [191]~E(x1911,x1912)+E(f62(x1913,x1911,x1914,x1915),f62(x1913,x1912,x1914,x1915))
% 1.00/1.29 [192]~E(x1921,x1922)+E(f62(x1923,x1924,x1921,x1925),f62(x1923,x1924,x1922,x1925))
% 1.00/1.29 [193]~E(x1931,x1932)+E(f62(x1933,x1934,x1935,x1931),f62(x1933,x1934,x1935,x1932))
% 1.00/1.29 [194]~E(x1941,x1942)+E(f38(x1941,x1943),f38(x1942,x1943))
% 1.00/1.29 [195]~E(x1951,x1952)+E(f38(x1953,x1951),f38(x1953,x1952))
% 1.00/1.29 [196]~E(x1961,x1962)+E(f125(x1961,x1963),f125(x1962,x1963))
% 1.00/1.29 [197]~E(x1971,x1972)+E(f125(x1973,x1971),f125(x1973,x1972))
% 1.00/1.29 [198]~E(x1981,x1982)+E(f132(x1981,x1983,x1984,x1985),f132(x1982,x1983,x1984,x1985))
% 1.00/1.29 [199]~E(x1991,x1992)+E(f132(x1993,x1991,x1994,x1995),f132(x1993,x1992,x1994,x1995))
% 1.00/1.29 [200]~E(x2001,x2002)+E(f132(x2003,x2004,x2001,x2005),f132(x2003,x2004,x2002,x2005))
% 1.00/1.29 [201]~E(x2011,x2012)+E(f132(x2013,x2014,x2015,x2011),f132(x2013,x2014,x2015,x2012))
% 1.00/1.29 [202]~E(x2021,x2022)+E(f56(x2021),f56(x2022))
% 1.00/1.29 [203]~E(x2031,x2032)+E(f23(x2031,x2033,x2034,x2035),f23(x2032,x2033,x2034,x2035))
% 1.00/1.29 [204]~E(x2041,x2042)+E(f23(x2043,x2041,x2044,x2045),f23(x2043,x2042,x2044,x2045))
% 1.00/1.29 [205]~E(x2051,x2052)+E(f23(x2053,x2054,x2051,x2055),f23(x2053,x2054,x2052,x2055))
% 1.00/1.29 [206]~E(x2061,x2062)+E(f23(x2063,x2064,x2065,x2061),f23(x2063,x2064,x2065,x2062))
% 1.00/1.29 [207]~E(x2071,x2072)+E(f142(x2071),f142(x2072))
% 1.00/1.29 [208]~E(x2081,x2082)+E(f104(x2081,x2083,x2084,x2085,x2086),f104(x2082,x2083,x2084,x2085,x2086))
% 1.00/1.29 [209]~E(x2091,x2092)+E(f104(x2093,x2091,x2094,x2095,x2096),f104(x2093,x2092,x2094,x2095,x2096))
% 1.00/1.29 [210]~E(x2101,x2102)+E(f104(x2103,x2104,x2101,x2105,x2106),f104(x2103,x2104,x2102,x2105,x2106))
% 1.00/1.29 [211]~E(x2111,x2112)+E(f104(x2113,x2114,x2115,x2111,x2116),f104(x2113,x2114,x2115,x2112,x2116))
% 1.00/1.29 [212]~E(x2121,x2122)+E(f104(x2123,x2124,x2125,x2126,x2121),f104(x2123,x2124,x2125,x2126,x2122))
% 1.00/1.29 [213]~E(x2131,x2132)+E(f109(x2131,x2133,x2134,x2135),f109(x2132,x2133,x2134,x2135))
% 1.00/1.29 [214]~E(x2141,x2142)+E(f109(x2143,x2141,x2144,x2145),f109(x2143,x2142,x2144,x2145))
% 1.00/1.29 [215]~E(x2151,x2152)+E(f109(x2153,x2154,x2151,x2155),f109(x2153,x2154,x2152,x2155))
% 1.00/1.29 [216]~E(x2161,x2162)+E(f109(x2163,x2164,x2165,x2161),f109(x2163,x2164,x2165,x2162))
% 1.00/1.29 [217]~E(x2171,x2172)+E(f98(x2171,x2173),f98(x2172,x2173))
% 1.00/1.29 [218]~E(x2181,x2182)+E(f98(x2183,x2181),f98(x2183,x2182))
% 1.00/1.29 [219]~E(x2191,x2192)+E(f63(x2191,x2193,x2194,x2195),f63(x2192,x2193,x2194,x2195))
% 1.00/1.29 [220]~E(x2201,x2202)+E(f63(x2203,x2201,x2204,x2205),f63(x2203,x2202,x2204,x2205))
% 1.00/1.29 [221]~E(x2211,x2212)+E(f63(x2213,x2214,x2211,x2215),f63(x2213,x2214,x2212,x2215))
% 1.00/1.29 [222]~E(x2221,x2222)+E(f63(x2223,x2224,x2225,x2221),f63(x2223,x2224,x2225,x2222))
% 1.00/1.29 [223]~E(x2231,x2232)+E(f108(x2231,x2233,x2234,x2235,x2236),f108(x2232,x2233,x2234,x2235,x2236))
% 1.00/1.29 [224]~E(x2241,x2242)+E(f108(x2243,x2241,x2244,x2245,x2246),f108(x2243,x2242,x2244,x2245,x2246))
% 1.00/1.29 [225]~E(x2251,x2252)+E(f108(x2253,x2254,x2251,x2255,x2256),f108(x2253,x2254,x2252,x2255,x2256))
% 1.00/1.29 [226]~E(x2261,x2262)+E(f108(x2263,x2264,x2265,x2261,x2266),f108(x2263,x2264,x2265,x2262,x2266))
% 1.00/1.29 [227]~E(x2271,x2272)+E(f108(x2273,x2274,x2275,x2276,x2271),f108(x2273,x2274,x2275,x2276,x2272))
% 1.00/1.29 [228]~E(x2281,x2282)+E(f101(x2281,x2283,x2284),f101(x2282,x2283,x2284))
% 1.00/1.29 [229]~E(x2291,x2292)+E(f101(x2293,x2291,x2294),f101(x2293,x2292,x2294))
% 1.00/1.29 [230]~E(x2301,x2302)+E(f101(x2303,x2304,x2301),f101(x2303,x2304,x2302))
% 1.00/1.29 [231]~E(x2311,x2312)+E(f39(x2311,x2313,x2314,x2315),f39(x2312,x2313,x2314,x2315))
% 1.00/1.29 [232]~E(x2321,x2322)+E(f39(x2323,x2321,x2324,x2325),f39(x2323,x2322,x2324,x2325))
% 1.00/1.29 [233]~E(x2331,x2332)+E(f39(x2333,x2334,x2331,x2335),f39(x2333,x2334,x2332,x2335))
% 1.00/1.29 [234]~E(x2341,x2342)+E(f39(x2343,x2344,x2345,x2341),f39(x2343,x2344,x2345,x2342))
% 1.00/1.29 [235]~E(x2351,x2352)+E(f135(x2351,x2353,x2354,x2355),f135(x2352,x2353,x2354,x2355))
% 1.00/1.29 [236]~E(x2361,x2362)+E(f135(x2363,x2361,x2364,x2365),f135(x2363,x2362,x2364,x2365))
% 1.00/1.29 [237]~E(x2371,x2372)+E(f135(x2373,x2374,x2371,x2375),f135(x2373,x2374,x2372,x2375))
% 1.00/1.29 [238]~E(x2381,x2382)+E(f135(x2383,x2384,x2385,x2381),f135(x2383,x2384,x2385,x2382))
% 1.00/1.29 [239]~E(x2391,x2392)+E(f120(x2391,x2393,x2394,x2395),f120(x2392,x2393,x2394,x2395))
% 1.00/1.29 [240]~E(x2401,x2402)+E(f120(x2403,x2401,x2404,x2405),f120(x2403,x2402,x2404,x2405))
% 1.00/1.29 [241]~E(x2411,x2412)+E(f120(x2413,x2414,x2411,x2415),f120(x2413,x2414,x2412,x2415))
% 1.00/1.29 [242]~E(x2421,x2422)+E(f120(x2423,x2424,x2425,x2421),f120(x2423,x2424,x2425,x2422))
% 1.00/1.29 [243]~E(x2431,x2432)+E(f78(x2431,x2433,x2434),f78(x2432,x2433,x2434))
% 1.00/1.29 [244]~E(x2441,x2442)+E(f78(x2443,x2441,x2444),f78(x2443,x2442,x2444))
% 1.00/1.29 [245]~E(x2451,x2452)+E(f78(x2453,x2454,x2451),f78(x2453,x2454,x2452))
% 1.00/1.29 [246]~E(x2461,x2462)+E(f121(x2461,x2463,x2464,x2465),f121(x2462,x2463,x2464,x2465))
% 1.00/1.29 [247]~E(x2471,x2472)+E(f121(x2473,x2471,x2474,x2475),f121(x2473,x2472,x2474,x2475))
% 1.00/1.29 [248]~E(x2481,x2482)+E(f121(x2483,x2484,x2481,x2485),f121(x2483,x2484,x2482,x2485))
% 1.00/1.29 [249]~E(x2491,x2492)+E(f121(x2493,x2494,x2495,x2491),f121(x2493,x2494,x2495,x2492))
% 1.00/1.29 [250]~E(x2501,x2502)+E(f91(x2501,x2503,x2504,x2505,x2506,x2507,x2508,x2509),f91(x2502,x2503,x2504,x2505,x2506,x2507,x2508,x2509))
% 1.00/1.29 [251]~E(x2511,x2512)+E(f91(x2513,x2511,x2514,x2515,x2516,x2517,x2518,x2519),f91(x2513,x2512,x2514,x2515,x2516,x2517,x2518,x2519))
% 1.00/1.29 [252]~E(x2521,x2522)+E(f91(x2523,x2524,x2521,x2525,x2526,x2527,x2528,x2529),f91(x2523,x2524,x2522,x2525,x2526,x2527,x2528,x2529))
% 1.00/1.29 [253]~E(x2531,x2532)+E(f91(x2533,x2534,x2535,x2531,x2536,x2537,x2538,x2539),f91(x2533,x2534,x2535,x2532,x2536,x2537,x2538,x2539))
% 1.00/1.29 [254]~E(x2541,x2542)+E(f91(x2543,x2544,x2545,x2546,x2541,x2547,x2548,x2549),f91(x2543,x2544,x2545,x2546,x2542,x2547,x2548,x2549))
% 1.00/1.29 [255]~E(x2551,x2552)+E(f91(x2553,x2554,x2555,x2556,x2557,x2551,x2558,x2559),f91(x2553,x2554,x2555,x2556,x2557,x2552,x2558,x2559))
% 1.00/1.29 [256]~E(x2561,x2562)+E(f91(x2563,x2564,x2565,x2566,x2567,x2568,x2561,x2569),f91(x2563,x2564,x2565,x2566,x2567,x2568,x2562,x2569))
% 1.00/1.29 [257]~E(x2571,x2572)+E(f91(x2573,x2574,x2575,x2576,x2577,x2578,x2579,x2571),f91(x2573,x2574,x2575,x2576,x2577,x2578,x2579,x2572))
% 1.00/1.29 [258]~E(x2581,x2582)+E(f139(x2581,x2583,x2584,x2585,x2586),f139(x2582,x2583,x2584,x2585,x2586))
% 1.00/1.29 [259]~E(x2591,x2592)+E(f139(x2593,x2591,x2594,x2595,x2596),f139(x2593,x2592,x2594,x2595,x2596))
% 1.00/1.29 [260]~E(x2601,x2602)+E(f139(x2603,x2604,x2601,x2605,x2606),f139(x2603,x2604,x2602,x2605,x2606))
% 1.00/1.29 [261]~E(x2611,x2612)+E(f139(x2613,x2614,x2615,x2611,x2616),f139(x2613,x2614,x2615,x2612,x2616))
% 1.00/1.29 [262]~E(x2621,x2622)+E(f139(x2623,x2624,x2625,x2626,x2621),f139(x2623,x2624,x2625,x2626,x2622))
% 1.00/1.29 [263]~E(x2631,x2632)+E(f119(x2631,x2633,x2634,x2635,x2636,x2637,x2638),f119(x2632,x2633,x2634,x2635,x2636,x2637,x2638))
% 1.00/1.29 [264]~E(x2641,x2642)+E(f119(x2643,x2641,x2644,x2645,x2646,x2647,x2648),f119(x2643,x2642,x2644,x2645,x2646,x2647,x2648))
% 1.00/1.29 [265]~E(x2651,x2652)+E(f119(x2653,x2654,x2651,x2655,x2656,x2657,x2658),f119(x2653,x2654,x2652,x2655,x2656,x2657,x2658))
% 1.00/1.29 [266]~E(x2661,x2662)+E(f119(x2663,x2664,x2665,x2661,x2666,x2667,x2668),f119(x2663,x2664,x2665,x2662,x2666,x2667,x2668))
% 1.00/1.29 [267]~E(x2671,x2672)+E(f119(x2673,x2674,x2675,x2676,x2671,x2677,x2678),f119(x2673,x2674,x2675,x2676,x2672,x2677,x2678))
% 1.00/1.29 [268]~E(x2681,x2682)+E(f119(x2683,x2684,x2685,x2686,x2687,x2681,x2688),f119(x2683,x2684,x2685,x2686,x2687,x2682,x2688))
% 1.00/1.29 [269]~E(x2691,x2692)+E(f119(x2693,x2694,x2695,x2696,x2697,x2698,x2691),f119(x2693,x2694,x2695,x2696,x2697,x2698,x2692))
% 1.00/1.29 [270]~E(x2701,x2702)+E(f88(x2701,x2703,x2704),f88(x2702,x2703,x2704))
% 1.00/1.29 [271]~E(x2711,x2712)+E(f88(x2713,x2711,x2714),f88(x2713,x2712,x2714))
% 1.00/1.29 [272]~E(x2721,x2722)+E(f88(x2723,x2724,x2721),f88(x2723,x2724,x2722))
% 1.00/1.29 [273]~E(x2731,x2732)+E(f122(x2731,x2733),f122(x2732,x2733))
% 1.00/1.29 [274]~E(x2741,x2742)+E(f122(x2743,x2741),f122(x2743,x2742))
% 1.00/1.29 [275]~E(x2751,x2752)+E(f66(x2751,x2753),f66(x2752,x2753))
% 1.00/1.29 [276]~E(x2761,x2762)+E(f66(x2763,x2761),f66(x2763,x2762))
% 1.00/1.29 [277]~E(x2771,x2772)+E(f33(x2771,x2773,x2774),f33(x2772,x2773,x2774))
% 1.00/1.29 [278]~E(x2781,x2782)+E(f33(x2783,x2781,x2784),f33(x2783,x2782,x2784))
% 1.00/1.29 [279]~E(x2791,x2792)+E(f33(x2793,x2794,x2791),f33(x2793,x2794,x2792))
% 1.00/1.29 [280]~E(x2801,x2802)+E(f96(x2801,x2803,x2804,x2805,x2806,x2807,x2808),f96(x2802,x2803,x2804,x2805,x2806,x2807,x2808))
% 1.00/1.29 [281]~E(x2811,x2812)+E(f96(x2813,x2811,x2814,x2815,x2816,x2817,x2818),f96(x2813,x2812,x2814,x2815,x2816,x2817,x2818))
% 1.00/1.29 [282]~E(x2821,x2822)+E(f96(x2823,x2824,x2821,x2825,x2826,x2827,x2828),f96(x2823,x2824,x2822,x2825,x2826,x2827,x2828))
% 1.00/1.29 [283]~E(x2831,x2832)+E(f96(x2833,x2834,x2835,x2831,x2836,x2837,x2838),f96(x2833,x2834,x2835,x2832,x2836,x2837,x2838))
% 1.00/1.29 [284]~E(x2841,x2842)+E(f96(x2843,x2844,x2845,x2846,x2841,x2847,x2848),f96(x2843,x2844,x2845,x2846,x2842,x2847,x2848))
% 1.00/1.29 [285]~E(x2851,x2852)+E(f96(x2853,x2854,x2855,x2856,x2857,x2851,x2858),f96(x2853,x2854,x2855,x2856,x2857,x2852,x2858))
% 1.00/1.29 [286]~E(x2861,x2862)+E(f96(x2863,x2864,x2865,x2866,x2867,x2868,x2861),f96(x2863,x2864,x2865,x2866,x2867,x2868,x2862))
% 1.00/1.29 [287]~E(x2871,x2872)+E(f126(x2871,x2873,x2874,x2875),f126(x2872,x2873,x2874,x2875))
% 1.00/1.29 [288]~E(x2881,x2882)+E(f126(x2883,x2881,x2884,x2885),f126(x2883,x2882,x2884,x2885))
% 1.00/1.29 [289]~E(x2891,x2892)+E(f126(x2893,x2894,x2891,x2895),f126(x2893,x2894,x2892,x2895))
% 1.00/1.29 [290]~E(x2901,x2902)+E(f126(x2903,x2904,x2905,x2901),f126(x2903,x2904,x2905,x2902))
% 1.00/1.29 [291]~E(x2911,x2912)+E(f105(x2911,x2913),f105(x2912,x2913))
% 1.00/1.29 [292]~E(x2921,x2922)+E(f105(x2923,x2921),f105(x2923,x2922))
% 1.00/1.29 [293]~E(x2931,x2932)+E(f127(x2931,x2933,x2934),f127(x2932,x2933,x2934))
% 1.00/1.29 [294]~E(x2941,x2942)+E(f127(x2943,x2941,x2944),f127(x2943,x2942,x2944))
% 1.00/1.29 [295]~E(x2951,x2952)+E(f127(x2953,x2954,x2951),f127(x2953,x2954,x2952))
% 1.00/1.29 [296]~E(x2961,x2962)+E(f80(x2961,x2963,x2964),f80(x2962,x2963,x2964))
% 1.00/1.29 [297]~E(x2971,x2972)+E(f80(x2973,x2971,x2974),f80(x2973,x2972,x2974))
% 1.00/1.29 [298]~E(x2981,x2982)+E(f80(x2983,x2984,x2981),f80(x2983,x2984,x2982))
% 1.00/1.29 [299]~E(x2991,x2992)+E(f131(x2991,x2993,x2994,x2995),f131(x2992,x2993,x2994,x2995))
% 1.00/1.29 [300]~E(x3001,x3002)+E(f131(x3003,x3001,x3004,x3005),f131(x3003,x3002,x3004,x3005))
% 1.00/1.29 [301]~E(x3011,x3012)+E(f131(x3013,x3014,x3011,x3015),f131(x3013,x3014,x3012,x3015))
% 1.00/1.29 [302]~E(x3021,x3022)+E(f131(x3023,x3024,x3025,x3021),f131(x3023,x3024,x3025,x3022))
% 1.00/1.29 [303]~E(x3031,x3032)+E(f74(x3031,x3033,x3034,x3035),f74(x3032,x3033,x3034,x3035))
% 1.00/1.29 [304]~E(x3041,x3042)+E(f74(x3043,x3041,x3044,x3045),f74(x3043,x3042,x3044,x3045))
% 1.00/1.29 [305]~E(x3051,x3052)+E(f74(x3053,x3054,x3051,x3055),f74(x3053,x3054,x3052,x3055))
% 1.00/1.29 [306]~E(x3061,x3062)+E(f74(x3063,x3064,x3065,x3061),f74(x3063,x3064,x3065,x3062))
% 1.00/1.29 [307]~E(x3071,x3072)+E(f75(x3071,x3073),f75(x3072,x3073))
% 1.00/1.29 [308]~E(x3081,x3082)+E(f75(x3083,x3081),f75(x3083,x3082))
% 1.00/1.29 [309]~E(x3091,x3092)+E(f103(x3091,x3093,x3094,x3095,x3096),f103(x3092,x3093,x3094,x3095,x3096))
% 1.00/1.29 [310]~E(x3101,x3102)+E(f103(x3103,x3101,x3104,x3105,x3106),f103(x3103,x3102,x3104,x3105,x3106))
% 1.00/1.29 [311]~E(x3111,x3112)+E(f103(x3113,x3114,x3111,x3115,x3116),f103(x3113,x3114,x3112,x3115,x3116))
% 1.00/1.29 [312]~E(x3121,x3122)+E(f103(x3123,x3124,x3125,x3121,x3126),f103(x3123,x3124,x3125,x3122,x3126))
% 1.00/1.29 [313]~E(x3131,x3132)+E(f103(x3133,x3134,x3135,x3136,x3131),f103(x3133,x3134,x3135,x3136,x3132))
% 1.00/1.29 [314]~E(x3141,x3142)+E(f60(x3141),f60(x3142))
% 1.00/1.29 [315]~E(x3151,x3152)+E(f106(x3151,x3153),f106(x3152,x3153))
% 1.00/1.29 [316]~E(x3161,x3162)+E(f106(x3163,x3161),f106(x3163,x3162))
% 1.00/1.29 [317]~E(x3171,x3172)+E(f67(x3171,x3173,x3174),f67(x3172,x3173,x3174))
% 1.00/1.29 [318]~E(x3181,x3182)+E(f67(x3183,x3181,x3184),f67(x3183,x3182,x3184))
% 1.00/1.29 [319]~E(x3191,x3192)+E(f67(x3193,x3194,x3191),f67(x3193,x3194,x3192))
% 1.00/1.29 [320]~E(x3201,x3202)+E(f93(x3201,x3203,x3204,x3205,x3206,x3207,x3208,x3209),f93(x3202,x3203,x3204,x3205,x3206,x3207,x3208,x3209))
% 1.00/1.29 [321]~E(x3211,x3212)+E(f93(x3213,x3211,x3214,x3215,x3216,x3217,x3218,x3219),f93(x3213,x3212,x3214,x3215,x3216,x3217,x3218,x3219))
% 1.00/1.29 [322]~E(x3221,x3222)+E(f93(x3223,x3224,x3221,x3225,x3226,x3227,x3228,x3229),f93(x3223,x3224,x3222,x3225,x3226,x3227,x3228,x3229))
% 1.00/1.29 [323]~E(x3231,x3232)+E(f93(x3233,x3234,x3235,x3231,x3236,x3237,x3238,x3239),f93(x3233,x3234,x3235,x3232,x3236,x3237,x3238,x3239))
% 1.00/1.29 [324]~E(x3241,x3242)+E(f93(x3243,x3244,x3245,x3246,x3241,x3247,x3248,x3249),f93(x3243,x3244,x3245,x3246,x3242,x3247,x3248,x3249))
% 1.00/1.29 [325]~E(x3251,x3252)+E(f93(x3253,x3254,x3255,x3256,x3257,x3251,x3258,x3259),f93(x3253,x3254,x3255,x3256,x3257,x3252,x3258,x3259))
% 1.00/1.29 [326]~E(x3261,x3262)+E(f93(x3263,x3264,x3265,x3266,x3267,x3268,x3261,x3269),f93(x3263,x3264,x3265,x3266,x3267,x3268,x3262,x3269))
% 1.00/1.29 [327]~E(x3271,x3272)+E(f93(x3273,x3274,x3275,x3276,x3277,x3278,x3279,x3271),f93(x3273,x3274,x3275,x3276,x3277,x3278,x3279,x3272))
% 1.00/1.29 [328]~E(x3281,x3282)+E(f92(x3281,x3283,x3284,x3285,x3286,x3287,x3288,x3289),f92(x3282,x3283,x3284,x3285,x3286,x3287,x3288,x3289))
% 1.00/1.29 [329]~E(x3291,x3292)+E(f92(x3293,x3291,x3294,x3295,x3296,x3297,x3298,x3299),f92(x3293,x3292,x3294,x3295,x3296,x3297,x3298,x3299))
% 1.00/1.29 [330]~E(x3301,x3302)+E(f92(x3303,x3304,x3301,x3305,x3306,x3307,x3308,x3309),f92(x3303,x3304,x3302,x3305,x3306,x3307,x3308,x3309))
% 1.00/1.29 [331]~E(x3311,x3312)+E(f92(x3313,x3314,x3315,x3311,x3316,x3317,x3318,x3319),f92(x3313,x3314,x3315,x3312,x3316,x3317,x3318,x3319))
% 1.00/1.29 [332]~E(x3321,x3322)+E(f92(x3323,x3324,x3325,x3326,x3321,x3327,x3328,x3329),f92(x3323,x3324,x3325,x3326,x3322,x3327,x3328,x3329))
% 1.00/1.29 [333]~E(x3331,x3332)+E(f92(x3333,x3334,x3335,x3336,x3337,x3331,x3338,x3339),f92(x3333,x3334,x3335,x3336,x3337,x3332,x3338,x3339))
% 1.00/1.29 [334]~E(x3341,x3342)+E(f92(x3343,x3344,x3345,x3346,x3347,x3348,x3341,x3349),f92(x3343,x3344,x3345,x3346,x3347,x3348,x3342,x3349))
% 1.00/1.29 [335]~E(x3351,x3352)+E(f92(x3353,x3354,x3355,x3356,x3357,x3358,x3359,x3351),f92(x3353,x3354,x3355,x3356,x3357,x3358,x3359,x3352))
% 1.00/1.29 [336]~E(x3361,x3362)+E(f140(x3361,x3363,x3364,x3365,x3366),f140(x3362,x3363,x3364,x3365,x3366))
% 1.00/1.29 [337]~E(x3371,x3372)+E(f140(x3373,x3371,x3374,x3375,x3376),f140(x3373,x3372,x3374,x3375,x3376))
% 1.00/1.29 [338]~E(x3381,x3382)+E(f140(x3383,x3384,x3381,x3385,x3386),f140(x3383,x3384,x3382,x3385,x3386))
% 1.00/1.29 [339]~E(x3391,x3392)+E(f140(x3393,x3394,x3395,x3391,x3396),f140(x3393,x3394,x3395,x3392,x3396))
% 1.00/1.29 [340]~E(x3401,x3402)+E(f140(x3403,x3404,x3405,x3406,x3401),f140(x3403,x3404,x3405,x3406,x3402))
% 1.00/1.29 [341]~E(x3411,x3412)+E(f90(x3411,x3413,x3414,x3415,x3416,x3417,x3418,x3419),f90(x3412,x3413,x3414,x3415,x3416,x3417,x3418,x3419))
% 1.00/1.29 [342]~E(x3421,x3422)+E(f90(x3423,x3421,x3424,x3425,x3426,x3427,x3428,x3429),f90(x3423,x3422,x3424,x3425,x3426,x3427,x3428,x3429))
% 1.00/1.29 [343]~E(x3431,x3432)+E(f90(x3433,x3434,x3431,x3435,x3436,x3437,x3438,x3439),f90(x3433,x3434,x3432,x3435,x3436,x3437,x3438,x3439))
% 1.00/1.29 [344]~E(x3441,x3442)+E(f90(x3443,x3444,x3445,x3441,x3446,x3447,x3448,x3449),f90(x3443,x3444,x3445,x3442,x3446,x3447,x3448,x3449))
% 1.00/1.29 [345]~E(x3451,x3452)+E(f90(x3453,x3454,x3455,x3456,x3451,x3457,x3458,x3459),f90(x3453,x3454,x3455,x3456,x3452,x3457,x3458,x3459))
% 1.00/1.29 [346]~E(x3461,x3462)+E(f90(x3463,x3464,x3465,x3466,x3467,x3461,x3468,x3469),f90(x3463,x3464,x3465,x3466,x3467,x3462,x3468,x3469))
% 1.00/1.29 [347]~E(x3471,x3472)+E(f90(x3473,x3474,x3475,x3476,x3477,x3478,x3471,x3479),f90(x3473,x3474,x3475,x3476,x3477,x3478,x3472,x3479))
% 1.00/1.29 [348]~E(x3481,x3482)+E(f90(x3483,x3484,x3485,x3486,x3487,x3488,x3489,x3481),f90(x3483,x3484,x3485,x3486,x3487,x3488,x3489,x3482))
% 1.00/1.29 [349]~E(x3491,x3492)+E(f94(x3491,x3493,x3494,x3495,x3496,x3497,x3498,x3499),f94(x3492,x3493,x3494,x3495,x3496,x3497,x3498,x3499))
% 1.00/1.29 [350]~E(x3501,x3502)+E(f94(x3503,x3501,x3504,x3505,x3506,x3507,x3508,x3509),f94(x3503,x3502,x3504,x3505,x3506,x3507,x3508,x3509))
% 1.00/1.29 [351]~E(x3511,x3512)+E(f94(x3513,x3514,x3511,x3515,x3516,x3517,x3518,x3519),f94(x3513,x3514,x3512,x3515,x3516,x3517,x3518,x3519))
% 1.00/1.29 [352]~E(x3521,x3522)+E(f94(x3523,x3524,x3525,x3521,x3526,x3527,x3528,x3529),f94(x3523,x3524,x3525,x3522,x3526,x3527,x3528,x3529))
% 1.00/1.29 [353]~E(x3531,x3532)+E(f94(x3533,x3534,x3535,x3536,x3531,x3537,x3538,x3539),f94(x3533,x3534,x3535,x3536,x3532,x3537,x3538,x3539))
% 1.00/1.29 [354]~E(x3541,x3542)+E(f94(x3543,x3544,x3545,x3546,x3547,x3541,x3548,x3549),f94(x3543,x3544,x3545,x3546,x3547,x3542,x3548,x3549))
% 1.00/1.29 [355]~E(x3551,x3552)+E(f94(x3553,x3554,x3555,x3556,x3557,x3558,x3551,x3559),f94(x3553,x3554,x3555,x3556,x3557,x3558,x3552,x3559))
% 1.00/1.29 [356]~E(x3561,x3562)+E(f94(x3563,x3564,x3565,x3566,x3567,x3568,x3569,x3561),f94(x3563,x3564,x3565,x3566,x3567,x3568,x3569,x3562))
% 1.00/1.29 [357]~E(x3571,x3572)+E(f77(x3571,x3573,x3574),f77(x3572,x3573,x3574))
% 1.00/1.29 [358]~E(x3581,x3582)+E(f77(x3583,x3581,x3584),f77(x3583,x3582,x3584))
% 1.00/1.29 [359]~E(x3591,x3592)+E(f77(x3593,x3594,x3591),f77(x3593,x3594,x3592))
% 1.00/1.29 [360]~E(x3601,x3602)+E(f95(x3601,x3603,x3604,x3605,x3606,x3607,x3608,x3609),f95(x3602,x3603,x3604,x3605,x3606,x3607,x3608,x3609))
% 1.00/1.29 [361]~E(x3611,x3612)+E(f95(x3613,x3611,x3614,x3615,x3616,x3617,x3618,x3619),f95(x3613,x3612,x3614,x3615,x3616,x3617,x3618,x3619))
% 1.00/1.29 [362]~E(x3621,x3622)+E(f95(x3623,x3624,x3621,x3625,x3626,x3627,x3628,x3629),f95(x3623,x3624,x3622,x3625,x3626,x3627,x3628,x3629))
% 1.00/1.29 [363]~E(x3631,x3632)+E(f95(x3633,x3634,x3635,x3631,x3636,x3637,x3638,x3639),f95(x3633,x3634,x3635,x3632,x3636,x3637,x3638,x3639))
% 1.00/1.29 [364]~E(x3641,x3642)+E(f95(x3643,x3644,x3645,x3646,x3641,x3647,x3648,x3649),f95(x3643,x3644,x3645,x3646,x3642,x3647,x3648,x3649))
% 1.00/1.29 [365]~E(x3651,x3652)+E(f95(x3653,x3654,x3655,x3656,x3657,x3651,x3658,x3659),f95(x3653,x3654,x3655,x3656,x3657,x3652,x3658,x3659))
% 1.00/1.29 [366]~E(x3661,x3662)+E(f95(x3663,x3664,x3665,x3666,x3667,x3668,x3661,x3669),f95(x3663,x3664,x3665,x3666,x3667,x3668,x3662,x3669))
% 1.00/1.29 [367]~E(x3671,x3672)+E(f95(x3673,x3674,x3675,x3676,x3677,x3678,x3679,x3671),f95(x3673,x3674,x3675,x3676,x3677,x3678,x3679,x3672))
% 1.00/1.29 [368]~E(x3681,x3682)+E(f113(x3681,x3683,x3684,x3685,x3686,x3687),f113(x3682,x3683,x3684,x3685,x3686,x3687))
% 1.00/1.29 [369]~E(x3691,x3692)+E(f113(x3693,x3691,x3694,x3695,x3696,x3697),f113(x3693,x3692,x3694,x3695,x3696,x3697))
% 1.00/1.29 [370]~E(x3701,x3702)+E(f113(x3703,x3704,x3701,x3705,x3706,x3707),f113(x3703,x3704,x3702,x3705,x3706,x3707))
% 1.00/1.29 [371]~E(x3711,x3712)+E(f113(x3713,x3714,x3715,x3711,x3716,x3717),f113(x3713,x3714,x3715,x3712,x3716,x3717))
% 1.00/1.29 [372]~E(x3721,x3722)+E(f113(x3723,x3724,x3725,x3726,x3721,x3727),f113(x3723,x3724,x3725,x3726,x3722,x3727))
% 1.00/1.29 [373]~E(x3731,x3732)+E(f113(x3733,x3734,x3735,x3736,x3737,x3731),f113(x3733,x3734,x3735,x3736,x3737,x3732))
% 1.00/1.29 [374]~E(x3741,x3742)+E(f26(x3741,x3743,x3744,x3745),f26(x3742,x3743,x3744,x3745))
% 1.00/1.29 [375]~E(x3751,x3752)+E(f26(x3753,x3751,x3754,x3755),f26(x3753,x3752,x3754,x3755))
% 1.00/1.29 [376]~E(x3761,x3762)+E(f26(x3763,x3764,x3761,x3765),f26(x3763,x3764,x3762,x3765))
% 1.00/1.29 [377]~E(x3771,x3772)+E(f26(x3773,x3774,x3775,x3771),f26(x3773,x3774,x3775,x3772))
% 1.00/1.29 [378]~E(x3781,x3782)+E(f85(x3781,x3783,x3784,x3785,x3786,x3787,x3788,x3789),f85(x3782,x3783,x3784,x3785,x3786,x3787,x3788,x3789))
% 1.00/1.29 [379]~E(x3791,x3792)+E(f85(x3793,x3791,x3794,x3795,x3796,x3797,x3798,x3799),f85(x3793,x3792,x3794,x3795,x3796,x3797,x3798,x3799))
% 1.00/1.29 [380]~E(x3801,x3802)+E(f85(x3803,x3804,x3801,x3805,x3806,x3807,x3808,x3809),f85(x3803,x3804,x3802,x3805,x3806,x3807,x3808,x3809))
% 1.00/1.29 [381]~E(x3811,x3812)+E(f85(x3813,x3814,x3815,x3811,x3816,x3817,x3818,x3819),f85(x3813,x3814,x3815,x3812,x3816,x3817,x3818,x3819))
% 1.00/1.29 [382]~E(x3821,x3822)+E(f85(x3823,x3824,x3825,x3826,x3821,x3827,x3828,x3829),f85(x3823,x3824,x3825,x3826,x3822,x3827,x3828,x3829))
% 1.00/1.29 [383]~E(x3831,x3832)+E(f85(x3833,x3834,x3835,x3836,x3837,x3831,x3838,x3839),f85(x3833,x3834,x3835,x3836,x3837,x3832,x3838,x3839))
% 1.00/1.29 [384]~E(x3841,x3842)+E(f85(x3843,x3844,x3845,x3846,x3847,x3848,x3841,x3849),f85(x3843,x3844,x3845,x3846,x3847,x3848,x3842,x3849))
% 1.00/1.29 [385]~E(x3851,x3852)+E(f85(x3853,x3854,x3855,x3856,x3857,x3858,x3859,x3851),f85(x3853,x3854,x3855,x3856,x3857,x3858,x3859,x3852))
% 1.00/1.29 [386]~E(x3861,x3862)+E(f45(x3861,x3863),f45(x3862,x3863))
% 1.00/1.29 [387]~E(x3871,x3872)+E(f45(x3873,x3871),f45(x3873,x3872))
% 1.00/1.29 [388]~E(x3881,x3882)+E(f72(x3881,x3883,x3884,x3885,x3886),f72(x3882,x3883,x3884,x3885,x3886))
% 1.00/1.29 [389]~E(x3891,x3892)+E(f72(x3893,x3891,x3894,x3895,x3896),f72(x3893,x3892,x3894,x3895,x3896))
% 1.00/1.29 [390]~E(x3901,x3902)+E(f72(x3903,x3904,x3901,x3905,x3906),f72(x3903,x3904,x3902,x3905,x3906))
% 1.00/1.29 [391]~E(x3911,x3912)+E(f72(x3913,x3914,x3915,x3911,x3916),f72(x3913,x3914,x3915,x3912,x3916))
% 1.00/1.29 [392]~E(x3921,x3922)+E(f72(x3923,x3924,x3925,x3926,x3921),f72(x3923,x3924,x3925,x3926,x3922))
% 1.00/1.29 [393]~E(x3931,x3932)+E(f136(x3931,x3933,x3934,x3935,x3936,x3937,x3938),f136(x3932,x3933,x3934,x3935,x3936,x3937,x3938))
% 1.00/1.29 [394]~E(x3941,x3942)+E(f136(x3943,x3941,x3944,x3945,x3946,x3947,x3948),f136(x3943,x3942,x3944,x3945,x3946,x3947,x3948))
% 1.00/1.29 [395]~E(x3951,x3952)+E(f136(x3953,x3954,x3951,x3955,x3956,x3957,x3958),f136(x3953,x3954,x3952,x3955,x3956,x3957,x3958))
% 1.00/1.29 [396]~E(x3961,x3962)+E(f136(x3963,x3964,x3965,x3961,x3966,x3967,x3968),f136(x3963,x3964,x3965,x3962,x3966,x3967,x3968))
% 1.00/1.29 [397]~E(x3971,x3972)+E(f136(x3973,x3974,x3975,x3976,x3971,x3977,x3978),f136(x3973,x3974,x3975,x3976,x3972,x3977,x3978))
% 1.00/1.29 [398]~E(x3981,x3982)+E(f136(x3983,x3984,x3985,x3986,x3987,x3981,x3988),f136(x3983,x3984,x3985,x3986,x3987,x3982,x3988))
% 1.00/1.29 [399]~E(x3991,x3992)+E(f136(x3993,x3994,x3995,x3996,x3997,x3998,x3991),f136(x3993,x3994,x3995,x3996,x3997,x3998,x3992))
% 1.00/1.29 [400]~E(x4001,x4002)+E(f82(x4001,x4003,x4004),f82(x4002,x4003,x4004))
% 1.00/1.29 [401]~E(x4011,x4012)+E(f82(x4013,x4011,x4014),f82(x4013,x4012,x4014))
% 1.00/1.29 [402]~E(x4021,x4022)+E(f82(x4023,x4024,x4021),f82(x4023,x4024,x4022))
% 1.00/1.29 [403]~E(x4031,x4032)+E(f84(x4031,x4033,x4034,x4035,x4036,x4037,x4038,x4039),f84(x4032,x4033,x4034,x4035,x4036,x4037,x4038,x4039))
% 1.00/1.29 [404]~E(x4041,x4042)+E(f84(x4043,x4041,x4044,x4045,x4046,x4047,x4048,x4049),f84(x4043,x4042,x4044,x4045,x4046,x4047,x4048,x4049))
% 1.00/1.29 [405]~E(x4051,x4052)+E(f84(x4053,x4054,x4051,x4055,x4056,x4057,x4058,x4059),f84(x4053,x4054,x4052,x4055,x4056,x4057,x4058,x4059))
% 1.00/1.29 [406]~E(x4061,x4062)+E(f84(x4063,x4064,x4065,x4061,x4066,x4067,x4068,x4069),f84(x4063,x4064,x4065,x4062,x4066,x4067,x4068,x4069))
% 1.00/1.29 [407]~E(x4071,x4072)+E(f84(x4073,x4074,x4075,x4076,x4071,x4077,x4078,x4079),f84(x4073,x4074,x4075,x4076,x4072,x4077,x4078,x4079))
% 1.00/1.29 [408]~E(x4081,x4082)+E(f84(x4083,x4084,x4085,x4086,x4087,x4081,x4088,x4089),f84(x4083,x4084,x4085,x4086,x4087,x4082,x4088,x4089))
% 1.00/1.29 [409]~E(x4091,x4092)+E(f84(x4093,x4094,x4095,x4096,x4097,x4098,x4091,x4099),f84(x4093,x4094,x4095,x4096,x4097,x4098,x4092,x4099))
% 1.00/1.29 [410]~E(x4101,x4102)+E(f84(x4103,x4104,x4105,x4106,x4107,x4108,x4109,x4101),f84(x4103,x4104,x4105,x4106,x4107,x4108,x4109,x4102))
% 1.00/1.29 [411]~E(x4111,x4112)+E(f102(x4111,x4113,x4114,x4115,x4116),f102(x4112,x4113,x4114,x4115,x4116))
% 1.00/1.29 [412]~E(x4121,x4122)+E(f102(x4123,x4121,x4124,x4125,x4126),f102(x4123,x4122,x4124,x4125,x4126))
% 1.00/1.29 [413]~E(x4131,x4132)+E(f102(x4133,x4134,x4131,x4135,x4136),f102(x4133,x4134,x4132,x4135,x4136))
% 1.00/1.29 [414]~E(x4141,x4142)+E(f102(x4143,x4144,x4145,x4141,x4146),f102(x4143,x4144,x4145,x4142,x4146))
% 1.00/1.29 [415]~E(x4151,x4152)+E(f102(x4153,x4154,x4155,x4156,x4151),f102(x4153,x4154,x4155,x4156,x4152))
% 1.00/1.29 [416]~E(x4161,x4162)+E(f107(x4161,x4163,x4164,x4165,x4166),f107(x4162,x4163,x4164,x4165,x4166))
% 1.00/1.29 [417]~E(x4171,x4172)+E(f107(x4173,x4171,x4174,x4175,x4176),f107(x4173,x4172,x4174,x4175,x4176))
% 1.00/1.29 [418]~E(x4181,x4182)+E(f107(x4183,x4184,x4181,x4185,x4186),f107(x4183,x4184,x4182,x4185,x4186))
% 1.00/1.29 [419]~E(x4191,x4192)+E(f107(x4193,x4194,x4195,x4191,x4196),f107(x4193,x4194,x4195,x4192,x4196))
% 1.00/1.29 [420]~E(x4201,x4202)+E(f107(x4203,x4204,x4205,x4206,x4201),f107(x4203,x4204,x4205,x4206,x4202))
% 1.00/1.29 [421]~E(x4211,x4212)+E(f115(x4211,x4213,x4214,x4215),f115(x4212,x4213,x4214,x4215))
% 1.00/1.29 [422]~E(x4221,x4222)+E(f115(x4223,x4221,x4224,x4225),f115(x4223,x4222,x4224,x4225))
% 1.00/1.29 [423]~E(x4231,x4232)+E(f115(x4233,x4234,x4231,x4235),f115(x4233,x4234,x4232,x4235))
% 1.00/1.29 [424]~E(x4241,x4242)+E(f115(x4243,x4244,x4245,x4241),f115(x4243,x4244,x4245,x4242))
% 1.00/1.29 [425]~E(x4251,x4252)+E(f111(x4251,x4253,x4254,x4255,x4256),f111(x4252,x4253,x4254,x4255,x4256))
% 1.00/1.29 [426]~E(x4261,x4262)+E(f111(x4263,x4261,x4264,x4265,x4266),f111(x4263,x4262,x4264,x4265,x4266))
% 1.00/1.29 [427]~E(x4271,x4272)+E(f111(x4273,x4274,x4271,x4275,x4276),f111(x4273,x4274,x4272,x4275,x4276))
% 1.00/1.29 [428]~E(x4281,x4282)+E(f111(x4283,x4284,x4285,x4281,x4286),f111(x4283,x4284,x4285,x4282,x4286))
% 1.00/1.29 [429]~E(x4291,x4292)+E(f111(x4293,x4294,x4295,x4296,x4291),f111(x4293,x4294,x4295,x4296,x4292))
% 1.00/1.29 [430]~E(x4301,x4302)+E(f83(x4301,x4303,x4304),f83(x4302,x4303,x4304))
% 1.00/1.29 [431]~E(x4311,x4312)+E(f83(x4313,x4311,x4314),f83(x4313,x4312,x4314))
% 1.00/1.29 [432]~E(x4321,x4322)+E(f83(x4323,x4324,x4321),f83(x4323,x4324,x4322))
% 1.00/1.29 [433]~E(x4331,x4332)+E(f112(x4331,x4333),f112(x4332,x4333))
% 1.00/1.29 [434]~E(x4341,x4342)+E(f112(x4343,x4341),f112(x4343,x4342))
% 1.00/1.29 [435]~E(x4351,x4352)+E(f99(x4351,x4353,x4354),f99(x4352,x4353,x4354))
% 1.00/1.29 [436]~E(x4361,x4362)+E(f99(x4363,x4361,x4364),f99(x4363,x4362,x4364))
% 1.00/1.29 [437]~E(x4371,x4372)+E(f99(x4373,x4374,x4371),f99(x4373,x4374,x4372))
% 1.00/1.29 [438]~E(x4381,x4382)+E(f71(x4381,x4383,x4384,x4385,x4386),f71(x4382,x4383,x4384,x4385,x4386))
% 1.00/1.29 [439]~E(x4391,x4392)+E(f71(x4393,x4391,x4394,x4395,x4396),f71(x4393,x4392,x4394,x4395,x4396))
% 1.00/1.29 [440]~E(x4401,x4402)+E(f71(x4403,x4404,x4401,x4405,x4406),f71(x4403,x4404,x4402,x4405,x4406))
% 1.00/1.29 [441]~E(x4411,x4412)+E(f71(x4413,x4414,x4415,x4411,x4416),f71(x4413,x4414,x4415,x4412,x4416))
% 1.00/1.29 [442]~E(x4421,x4422)+E(f71(x4423,x4424,x4425,x4426,x4421),f71(x4423,x4424,x4425,x4426,x4422))
% 1.00/1.29 [443]~E(x4431,x4432)+E(f114(x4431,x4433,x4434,x4435,x4436),f114(x4432,x4433,x4434,x4435,x4436))
% 1.00/1.29 [444]~E(x4441,x4442)+E(f114(x4443,x4441,x4444,x4445,x4446),f114(x4443,x4442,x4444,x4445,x4446))
% 1.00/1.29 [445]~E(x4451,x4452)+E(f114(x4453,x4454,x4451,x4455,x4456),f114(x4453,x4454,x4452,x4455,x4456))
% 1.00/1.29 [446]~E(x4461,x4462)+E(f114(x4463,x4464,x4465,x4461,x4466),f114(x4463,x4464,x4465,x4462,x4466))
% 1.00/1.29 [447]~E(x4471,x4472)+E(f114(x4473,x4474,x4475,x4476,x4471),f114(x4473,x4474,x4475,x4476,x4472))
% 1.00/1.29 [448]~E(x4481,x4482)+E(f73(x4481,x4483,x4484,x4485),f73(x4482,x4483,x4484,x4485))
% 1.00/1.29 [449]~E(x4491,x4492)+E(f73(x4493,x4491,x4494,x4495),f73(x4493,x4492,x4494,x4495))
% 1.00/1.29 [450]~E(x4501,x4502)+E(f73(x4503,x4504,x4501,x4505),f73(x4503,x4504,x4502,x4505))
% 1.00/1.29 [451]~E(x4511,x4512)+E(f73(x4513,x4514,x4515,x4511),f73(x4513,x4514,x4515,x4512))
% 1.00/1.29 [452]~E(x4521,x4522)+E(f18(x4521,x4523,x4524),f18(x4522,x4523,x4524))
% 1.00/1.29 [453]~E(x4531,x4532)+E(f18(x4533,x4531,x4534),f18(x4533,x4532,x4534))
% 1.00/1.29 [454]~E(x4541,x4542)+E(f18(x4543,x4544,x4541),f18(x4543,x4544,x4542))
% 1.00/1.29 [455]~E(x4551,x4552)+E(f87(x4551,x4553,x4554),f87(x4552,x4553,x4554))
% 1.00/1.29 [456]~E(x4561,x4562)+E(f87(x4563,x4561,x4564),f87(x4563,x4562,x4564))
% 1.00/1.29 [457]~E(x4571,x4572)+E(f87(x4573,x4574,x4571),f87(x4573,x4574,x4572))
% 1.00/1.29 [458]~E(x4581,x4582)+E(f143(x4581,x4583,x4584,x4585),f143(x4582,x4583,x4584,x4585))
% 1.00/1.29 [459]~E(x4591,x4592)+E(f143(x4593,x4591,x4594,x4595),f143(x4593,x4592,x4594,x4595))
% 1.00/1.29 [460]~E(x4601,x4602)+E(f143(x4603,x4604,x4601,x4605),f143(x4603,x4604,x4602,x4605))
% 1.00/1.29 [461]~E(x4611,x4612)+E(f143(x4613,x4614,x4615,x4611),f143(x4613,x4614,x4615,x4612))
% 1.00/1.29 [462]~E(x4621,x4622)+E(f117(x4621,x4623),f117(x4622,x4623))
% 1.00/1.29 [463]~E(x4631,x4632)+E(f117(x4633,x4631),f117(x4633,x4632))
% 1.00/1.29 [464]~E(x4641,x4642)+E(f138(x4641,x4643,x4644,x4645),f138(x4642,x4643,x4644,x4645))
% 1.00/1.29 [465]~E(x4651,x4652)+E(f138(x4653,x4651,x4654,x4655),f138(x4653,x4652,x4654,x4655))
% 1.00/1.29 [466]~E(x4661,x4662)+E(f138(x4663,x4664,x4661,x4665),f138(x4663,x4664,x4662,x4665))
% 1.00/1.29 [467]~E(x4671,x4672)+E(f138(x4673,x4674,x4675,x4671),f138(x4673,x4674,x4675,x4672))
% 1.00/1.29 [468]~E(x4681,x4682)+E(f30(x4681,x4683),f30(x4682,x4683))
% 1.00/1.29 [469]~E(x4691,x4692)+E(f30(x4693,x4691),f30(x4693,x4692))
% 1.00/1.29 [470]~E(x4701,x4702)+E(f134(x4701,x4703,x4704,x4705),f134(x4702,x4703,x4704,x4705))
% 1.00/1.29 [471]~E(x4711,x4712)+E(f134(x4713,x4711,x4714,x4715),f134(x4713,x4712,x4714,x4715))
% 1.00/1.29 [472]~E(x4721,x4722)+E(f134(x4723,x4724,x4721,x4725),f134(x4723,x4724,x4722,x4725))
% 1.00/1.29 [473]~E(x4731,x4732)+E(f134(x4733,x4734,x4735,x4731),f134(x4733,x4734,x4735,x4732))
% 1.00/1.29 [474]~E(x4741,x4742)+E(f116(x4741,x4743,x4744,x4745),f116(x4742,x4743,x4744,x4745))
% 1.00/1.29 [475]~E(x4751,x4752)+E(f116(x4753,x4751,x4754,x4755),f116(x4753,x4752,x4754,x4755))
% 1.00/1.29 [476]~E(x4761,x4762)+E(f116(x4763,x4764,x4761,x4765),f116(x4763,x4764,x4762,x4765))
% 1.00/1.29 [477]~E(x4771,x4772)+E(f116(x4773,x4774,x4775,x4771),f116(x4773,x4774,x4775,x4772))
% 1.00/1.29 [478]~E(x4781,x4782)+E(f59(x4781,x4783,x4784,x4785),f59(x4782,x4783,x4784,x4785))
% 1.00/1.29 [479]~E(x4791,x4792)+E(f59(x4793,x4791,x4794,x4795),f59(x4793,x4792,x4794,x4795))
% 1.00/1.29 [480]~E(x4801,x4802)+E(f59(x4803,x4804,x4801,x4805),f59(x4803,x4804,x4802,x4805))
% 1.00/1.29 [481]~E(x4811,x4812)+E(f59(x4813,x4814,x4815,x4811),f59(x4813,x4814,x4815,x4812))
% 1.00/1.29 [482]~E(x4821,x4822)+E(f86(x4821,x4823,x4824),f86(x4822,x4823,x4824))
% 1.00/1.29 [483]~E(x4831,x4832)+E(f86(x4833,x4831,x4834),f86(x4833,x4832,x4834))
% 1.00/1.29 [484]~E(x4841,x4842)+E(f86(x4843,x4844,x4841),f86(x4843,x4844,x4842))
% 1.00/1.29 [485]~E(x4851,x4852)+E(f69(x4851,x4853),f69(x4852,x4853))
% 1.00/1.29 [486]~E(x4861,x4862)+E(f69(x4863,x4861),f69(x4863,x4862))
% 1.00/1.29 [487]~E(x4871,x4872)+E(f97(x4871,x4873,x4874,x4875,x4876,x4877,x4878),f97(x4872,x4873,x4874,x4875,x4876,x4877,x4878))
% 1.00/1.29 [488]~E(x4881,x4882)+E(f97(x4883,x4881,x4884,x4885,x4886,x4887,x4888),f97(x4883,x4882,x4884,x4885,x4886,x4887,x4888))
% 1.00/1.29 [489]~E(x4891,x4892)+E(f97(x4893,x4894,x4891,x4895,x4896,x4897,x4898),f97(x4893,x4894,x4892,x4895,x4896,x4897,x4898))
% 1.00/1.29 [490]~E(x4901,x4902)+E(f97(x4903,x4904,x4905,x4901,x4906,x4907,x4908),f97(x4903,x4904,x4905,x4902,x4906,x4907,x4908))
% 1.00/1.29 [491]~E(x4911,x4912)+E(f97(x4913,x4914,x4915,x4916,x4911,x4917,x4918),f97(x4913,x4914,x4915,x4916,x4912,x4917,x4918))
% 1.00/1.29 [492]~E(x4921,x4922)+E(f97(x4923,x4924,x4925,x4926,x4927,x4921,x4928),f97(x4923,x4924,x4925,x4926,x4927,x4922,x4928))
% 1.00/1.29 [493]~E(x4931,x4932)+E(f97(x4933,x4934,x4935,x4936,x4937,x4938,x4931),f97(x4933,x4934,x4935,x4936,x4937,x4938,x4932))
% 1.00/1.29 [494]~E(x4941,x4942)+E(f68(x4941,x4943,x4944,x4945),f68(x4942,x4943,x4944,x4945))
% 1.00/1.29 [495]~E(x4951,x4952)+E(f68(x4953,x4951,x4954,x4955),f68(x4953,x4952,x4954,x4955))
% 1.00/1.29 [496]~E(x4961,x4962)+E(f68(x4963,x4964,x4961,x4965),f68(x4963,x4964,x4962,x4965))
% 1.00/1.29 [497]~E(x4971,x4972)+E(f68(x4973,x4974,x4975,x4971),f68(x4973,x4974,x4975,x4972))
% 1.00/1.29 [498]~P1(x4981)+P1(x4982)+~E(x4981,x4982)
% 1.00/1.29 [499]~P2(x4991)+P2(x4992)+~E(x4991,x4992)
% 1.00/1.29 [500]~P4(x5001)+P4(x5002)+~E(x5001,x5002)
% 1.00/1.29 [501]~P25(x5011)+P25(x5012)+~E(x5011,x5012)
% 1.00/1.29 [502]~P5(x5021)+P5(x5022)+~E(x5021,x5022)
% 1.00/1.29 [503]~P26(x5031)+P26(x5032)+~E(x5031,x5032)
% 1.00/1.29 [504]~P6(x5041)+P6(x5042)+~E(x5041,x5042)
% 1.00/1.29 [505]~P27(x5051)+P27(x5052)+~E(x5051,x5052)
% 1.00/1.29 [506]~P28(x5061)+P28(x5062)+~E(x5061,x5062)
% 1.00/1.29 [507]~P30(x5071)+P30(x5072)+~E(x5071,x5072)
% 1.00/1.29 [508]~P23(x5081)+P23(x5082)+~E(x5081,x5082)
% 1.00/1.29 [509]P7(x5092,x5093,x5094)+~E(x5091,x5092)+~P7(x5091,x5093,x5094)
% 1.00/1.29 [510]P7(x5103,x5102,x5104)+~E(x5101,x5102)+~P7(x5103,x5101,x5104)
% 1.00/1.29 [511]P7(x5113,x5114,x5112)+~E(x5111,x5112)+~P7(x5113,x5114,x5111)
% 1.00/1.29 [512]P14(x5122,x5123,x5124)+~E(x5121,x5122)+~P14(x5121,x5123,x5124)
% 1.00/1.29 [513]P14(x5133,x5132,x5134)+~E(x5131,x5132)+~P14(x5133,x5131,x5134)
% 1.00/1.29 [514]P14(x5143,x5144,x5142)+~E(x5141,x5142)+~P14(x5143,x5144,x5141)
% 1.00/1.29 [515]P19(x5152,x5153,x5154)+~E(x5151,x5152)+~P19(x5151,x5153,x5154)
% 1.00/1.29 [516]P19(x5163,x5162,x5164)+~E(x5161,x5162)+~P19(x5163,x5161,x5164)
% 1.00/1.29 [517]P19(x5173,x5174,x5172)+~E(x5171,x5172)+~P19(x5173,x5174,x5171)
% 1.00/1.30 [518]P20(x5182,x5183,x5184)+~E(x5181,x5182)+~P20(x5181,x5183,x5184)
% 1.00/1.30 [519]P20(x5193,x5192,x5194)+~E(x5191,x5192)+~P20(x5193,x5191,x5194)
% 1.00/1.30 [520]P20(x5203,x5204,x5202)+~E(x5201,x5202)+~P20(x5203,x5204,x5201)
% 1.00/1.30 [521]~P31(x5211)+P31(x5212)+~E(x5211,x5212)
% 1.00/1.30 [522]P15(x5222,x5223,x5224,x5225)+~E(x5221,x5222)+~P15(x5221,x5223,x5224,x5225)
% 1.00/1.30 [523]P15(x5233,x5232,x5234,x5235)+~E(x5231,x5232)+~P15(x5233,x5231,x5234,x5235)
% 1.00/1.30 [524]P15(x5243,x5244,x5242,x5245)+~E(x5241,x5242)+~P15(x5243,x5244,x5241,x5245)
% 1.00/1.30 [525]P15(x5253,x5254,x5255,x5252)+~E(x5251,x5252)+~P15(x5253,x5254,x5255,x5251)
% 1.00/1.30 [526]P8(x5262,x5263,x5264,x5265)+~E(x5261,x5262)+~P8(x5261,x5263,x5264,x5265)
% 1.00/1.30 [527]P8(x5273,x5272,x5274,x5275)+~E(x5271,x5272)+~P8(x5273,x5271,x5274,x5275)
% 1.00/1.30 [528]P8(x5283,x5284,x5282,x5285)+~E(x5281,x5282)+~P8(x5283,x5284,x5281,x5285)
% 1.00/1.30 [529]P8(x5293,x5294,x5295,x5292)+~E(x5291,x5292)+~P8(x5293,x5294,x5295,x5291)
% 1.00/1.30 [530]P17(x5302,x5303,x5304,x5305)+~E(x5301,x5302)+~P17(x5301,x5303,x5304,x5305)
% 1.00/1.30 [531]P17(x5313,x5312,x5314,x5315)+~E(x5311,x5312)+~P17(x5313,x5311,x5314,x5315)
% 1.00/1.30 [532]P17(x5323,x5324,x5322,x5325)+~E(x5321,x5322)+~P17(x5323,x5324,x5321,x5325)
% 1.00/1.30 [533]P17(x5333,x5334,x5335,x5332)+~E(x5331,x5332)+~P17(x5333,x5334,x5335,x5331)
% 1.00/1.30 [534]P21(x5342,x5343)+~E(x5341,x5342)+~P21(x5341,x5343)
% 1.00/1.30 [535]P21(x5353,x5352)+~E(x5351,x5352)+~P21(x5353,x5351)
% 1.00/1.30 [536]~P29(x5361)+P29(x5362)+~E(x5361,x5362)
% 1.00/1.30 [537]P16(x5372,x5373,x5374,x5375)+~E(x5371,x5372)+~P16(x5371,x5373,x5374,x5375)
% 1.00/1.30 [538]P16(x5383,x5382,x5384,x5385)+~E(x5381,x5382)+~P16(x5383,x5381,x5384,x5385)
% 1.00/1.30 [539]P16(x5393,x5394,x5392,x5395)+~E(x5391,x5392)+~P16(x5393,x5394,x5391,x5395)
% 1.00/1.30 [540]P16(x5403,x5404,x5405,x5402)+~E(x5401,x5402)+~P16(x5403,x5404,x5405,x5401)
% 1.00/1.30 [541]P12(x5412,x5413,x5414,x5415,x5416,x5417)+~E(x5411,x5412)+~P12(x5411,x5413,x5414,x5415,x5416,x5417)
% 1.00/1.30 [542]P12(x5423,x5422,x5424,x5425,x5426,x5427)+~E(x5421,x5422)+~P12(x5423,x5421,x5424,x5425,x5426,x5427)
% 1.00/1.30 [543]P12(x5433,x5434,x5432,x5435,x5436,x5437)+~E(x5431,x5432)+~P12(x5433,x5434,x5431,x5435,x5436,x5437)
% 1.00/1.30 [544]P12(x5443,x5444,x5445,x5442,x5446,x5447)+~E(x5441,x5442)+~P12(x5443,x5444,x5445,x5441,x5446,x5447)
% 1.00/1.30 [545]P12(x5453,x5454,x5455,x5456,x5452,x5457)+~E(x5451,x5452)+~P12(x5453,x5454,x5455,x5456,x5451,x5457)
% 1.00/1.30 [546]P12(x5463,x5464,x5465,x5466,x5467,x5462)+~E(x5461,x5462)+~P12(x5463,x5464,x5465,x5466,x5467,x5461)
% 1.00/1.30 [547]P9(x5472,x5473,x5474)+~E(x5471,x5472)+~P9(x5471,x5473,x5474)
% 1.00/1.30 [548]P9(x5483,x5482,x5484)+~E(x5481,x5482)+~P9(x5483,x5481,x5484)
% 1.00/1.30 [549]P9(x5493,x5494,x5492)+~E(x5491,x5492)+~P9(x5493,x5494,x5491)
% 1.00/1.30 [550]P3(x5502,x5503)+~E(x5501,x5502)+~P3(x5501,x5503)
% 1.00/1.30 [551]P3(x5513,x5512)+~E(x5511,x5512)+~P3(x5513,x5511)
% 1.00/1.30 [552]P18(x5522,x5523)+~E(x5521,x5522)+~P18(x5521,x5523)
% 1.00/1.30 [553]P18(x5533,x5532)+~E(x5531,x5532)+~P18(x5533,x5531)
% 1.00/1.30 [554]~P22(x5541)+P22(x5542)+~E(x5541,x5542)
% 1.00/1.30 [555]P10(x5552,x5553,x5554,x5555)+~E(x5551,x5552)+~P10(x5551,x5553,x5554,x5555)
% 1.00/1.30 [556]P10(x5563,x5562,x5564,x5565)+~E(x5561,x5562)+~P10(x5563,x5561,x5564,x5565)
% 1.00/1.30 [557]P10(x5573,x5574,x5572,x5575)+~E(x5571,x5572)+~P10(x5573,x5574,x5571,x5575)
% 1.00/1.30 [558]P10(x5583,x5584,x5585,x5582)+~E(x5581,x5582)+~P10(x5583,x5584,x5585,x5581)
% 1.00/1.30 [559]P11(x5592,x5593,x5594,x5595,x5596)+~E(x5591,x5592)+~P11(x5591,x5593,x5594,x5595,x5596)
% 1.00/1.30 [560]P11(x5603,x5602,x5604,x5605,x5606)+~E(x5601,x5602)+~P11(x5603,x5601,x5604,x5605,x5606)
% 1.00/1.30 [561]P11(x5613,x5614,x5612,x5615,x5616)+~E(x5611,x5612)+~P11(x5613,x5614,x5611,x5615,x5616)
% 1.00/1.30 [562]P11(x5623,x5624,x5625,x5622,x5626)+~E(x5621,x5622)+~P11(x5623,x5624,x5625,x5621,x5626)
% 1.00/1.30 [563]P11(x5633,x5634,x5635,x5636,x5632)+~E(x5631,x5632)+~P11(x5633,x5634,x5635,x5636,x5631)
% 1.00/1.30 [564]P13(x5642,x5643)+~E(x5641,x5642)+~P13(x5641,x5643)
% 1.00/1.30 [565]P13(x5653,x5652)+~E(x5651,x5652)+~P13(x5653,x5651)
% 1.00/1.30 [566]~P24(x5661)+P24(x5662)+~E(x5661,x5662)
% 1.00/1.30
% 1.00/1.30 %-------------------------------------------
% 1.00/1.30 cnf(1327,plain,
% 1.00/1.30 ($false),
% 1.00/1.30 inference(scs_inference,[],[694,658,679,1142]),
% 1.00/1.30 ['proof']).
% 1.00/1.30 % SZS output end Proof
% 1.00/1.30 % Total time :0.160000s
%------------------------------------------------------------------------------