TSTP Solution File: SCT131+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 14:10:14 EDT 2023
% Result : Theorem 1.12s 1.31s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 16:49:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 1.00/1.26 %-------------------------------------------
% 1.00/1.26 % File :CSE---1.6
% 1.00/1.26 % Problem :theBenchmark
% 1.00/1.26 % Transform :cnf
% 1.00/1.26 % Format :tptp:raw
% 1.00/1.26 % Command :java -jar mcs_scs.jar %d %s
% 1.00/1.26
% 1.00/1.26 % Result :Theorem 0.180000s
% 1.00/1.26 % Output :CNFRefutation 0.180000s
% 1.00/1.26 %-------------------------------------------
% 1.00/1.26 %------------------------------------------------------------------------------
% 1.00/1.26 % File : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 1.00/1.26 % Domain : Social Choice Theory
% 1.00/1.26 % Problem : Arrow's Impossibility Theorem 433141, 500 axioms selected
% 1.00/1.26 % Version : Especial.
% 1.00/1.26 % English :
% 1.00/1.26
% 1.00/1.26 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.00/1.26 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 1.00/1.26 % Source : [Bla11]
% 1.00/1.26 % Names : arrow_433141.500.p [Bla11]
% 1.00/1.27
% 1.00/1.27 % Status : Theorem
% 1.00/1.27 % Rating : 0.36 v8.1.0, 0.39 v7.5.0, 0.44 v7.4.0, 0.43 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.30 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.71 v5.3.0, 0.70 v5.2.0
% 1.00/1.27 % Syntax : Number of formulae : 535 ( 134 unt; 0 def)
% 1.00/1.27 % Number of atoms : 1286 ( 310 equ)
% 1.00/1.27 % Maximal formula atoms : 12 ( 2 avg)
% 1.00/1.27 % Number of connectives : 881 ( 130 ~; 23 |; 51 &)
% 1.00/1.27 % ( 95 <=>; 582 =>; 0 <=; 0 <~>)
% 1.00/1.27 % Maximal formula depth : 19 ( 6 avg)
% 1.00/1.27 % Maximal term depth : 14 ( 2 avg)
% 1.00/1.27 % Number of predicates : 29 ( 28 usr; 0 prp; 1-4 aty)
% 1.00/1.27 % Number of functors : 69 ( 69 usr; 18 con; 0-6 aty)
% 1.00/1.27 % Number of variables : 2003 (1985 !; 18 ?)
% 1.00/1.27 % SPC : FOF_THM_RFO_SEQ
% 1.00/1.27
% 1.00/1.27 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 1.00/1.27 % 2011-03-01 11:15:39
% 1.00/1.27 % : Renamed from SWW133+1
% 1.00/1.27 %------------------------------------------------------------------------------
% 1.00/1.27 %----Relevant facts (494)
% 1.00/1.27 fof(fact_ext,axiom,
% 1.00/1.27 ! [V_g_2,V_f_2] :
% 1.00/1.27 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 1.00/1.27 => V_f_2 = V_g_2 ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_u,axiom,
% 1.00/1.27 c_Arrow__Order__Mirabelle_Ounanimity(v_F) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_assms_I3_J,axiom,
% 1.00/1.27 c_Arrow__Order__Mirabelle_OIIA(v_F) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096b_A_126_061_Ab_H_096,axiom,
% 1.00/1.27 v_b____ != v_b_H____ ).
% 1.00/1.27
% 1.00/1.27 fof(fact_d2_I2_J,axiom,
% 1.00/1.27 v_b____ != v_a_H____ ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096,axiom,
% 1.00/1.27 ! [V_i_2] : 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_b____),v_b_H____)),hAPP(v_Q____,V_i_2))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_d1_I2_J,axiom,
% 1.00/1.27 v_a_H____ != v_b_H____ ).
% 1.00/1.27
% 1.00/1.27 fof(fact_d1_I1_J,axiom,
% 1.00/1.27 v_a____ != v_b____ ).
% 1.00/1.27
% 1.00/1.27 fof(fact_d2_I1_J,axiom,
% 1.00/1.27 v_a____ != v_b_H____ ).
% 1.00/1.27
% 1.00/1.27 fof(fact_calculation_I1_J,axiom,
% 1.00/1.27 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_Q____))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096a_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_096,axiom,
% 1.00/1.27 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____))) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_equalityCE,axiom,
% 1.00/1.27 ! [V_c_2,T_a,V_B_2,V_A_2] :
% 1.00/1.27 ( 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 => ~ ( ~ 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_in__mkbot,axiom,
% 1.00/1.27 ! [V_z_2,V_L_2,V_y_2,V_x_2] :
% 1.00/1.27 ( 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)))
% 1.00/1.27 <=> ( V_y_2 != V_z_2
% 1.00/1.27 & ( V_x_2 = V_z_2
% 1.00/1.27 => V_x_2 != V_y_2 )
% 1.00/1.27 & ( V_x_2 != V_z_2
% 1.00/1.27 => 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)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_in__mktop,axiom,
% 1.00/1.27 ! [V_z_2,V_L_2,V_y_2,V_x_2] :
% 1.00/1.27 ( 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)))
% 1.00/1.27 <=> ( V_x_2 != V_z_2
% 1.00/1.27 & ( V_y_2 = V_z_2
% 1.00/1.27 => V_x_2 != V_y_2 )
% 1.00/1.27 & ( V_y_2 != V_z_2
% 1.00/1.27 => 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)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_calculation_I2_J,axiom,
% 1.00/1.27 ( v_a____ != v_a_H____
% 1.00/1.27 => 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_a____)),hAPP(v_F,v_Q____))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_J_096,axiom,
% 1.00/1.27 ! [B_i] :
% 1.00/1.27 ( 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)))
% 1.00/1.27 <=> 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_Q____,B_i))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_in__rel__def,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] :
% 1.00/1.27 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),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)),V_R_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_same__fstI,axiom,
% 1.00/1.27 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_Pa_2] :
% 1.00/1.27 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 1.00/1.27 => ( 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)))
% 1.00/1.27 => 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))) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__C1_C,axiom,
% 1.00/1.27 ! [B_i] :
% 1.00/1.27 ( 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)))
% 1.00/1.27 <=> 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))) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Nitpick_Orefl_H__def,axiom,
% 1.00/1.27 ! [V_r_2,T_a] :
% 1.00/1.27 ( c_Nitpick_Orefl_H(T_a,V_r_2)
% 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)),V_r_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096F_AQ_A_058_ALin_096,axiom,
% 1.00/1.27 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096P_A_058_AProf_096,axiom,
% 1.00/1.27 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096P_H_A_058_AProf_096,axiom,
% 1.00/1.27 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_mkbot__Lin,axiom,
% 1.00/1.27 ! [V_x_2,V_L_2] :
% 1.00/1.27 ( 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))
% 1.00/1.27 => 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)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_mktop__Lin,axiom,
% 1.00/1.27 ! [V_x_2,V_L_2] :
% 1.00/1.27 ( 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))
% 1.00/1.27 => 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)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_Lin__irrefl,axiom,
% 1.00/1.27 ! [V_ba_2,V_aa_2,V_L_2] :
% 1.00/1.27 ( 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))
% 1.00/1.27 => ( 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))
% 1.00/1.27 => ~ 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)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_notin__Lin__iff,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_L_2] :
% 1.00/1.27 ( 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))
% 1.00/1.27 => ( V_x_2 != V_y_2
% 1.00/1.27 => ( ~ 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))
% 1.00/1.27 <=> 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)) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_eq__mem__trans,axiom,
% 1.00/1.27 ! [V_A_2,T_a,V_ba_2,V_aa_2] :
% 1.00/1.27 ( V_aa_2 = V_ba_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(T_a),V_aa_2),V_A_2)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_eqelem__imp__iff,axiom,
% 1.00/1.27 ! [V_A_2,T_a,V_y_2,V_x_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
% 1.00/1.27 fof(fact_eqset__imp__iff,axiom,
% 1.00/1.27 ! [V_x_2,T_a,V_B_2,V_A_2] :
% 1.00/1.27 ( 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_mem__def,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 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact__096Q_A_058_AProf_096,axiom,
% 1.00/1.27 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)) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_in__below,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_L_2,V_ba_2,V_aa_2] :
% 1.00/1.27 ( V_aa_2 != V_ba_2
% 1.00/1.27 => ( 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))
% 1.00/1.27 => ( 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)))
% 1.00/1.27 <=> ( V_x_2 != V_y_2
% 1.00/1.27 & ( V_y_2 = V_aa_2
% 1.00/1.27 => 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)) )
% 1.00/1.27 & ( V_y_2 != V_aa_2
% 1.00/1.27 => ( ( V_x_2 = V_aa_2
% 1.00/1.27 => ( V_y_2 = V_ba_2
% 1.00/1.27 | 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)) ) )
% 1.00/1.27 & ( V_x_2 != V_aa_2
% 1.00/1.27 => 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)) ) ) ) ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_in__above,axiom,
% 1.00/1.27 ! [V_y_2,V_x_2,V_L_2,V_ba_2,V_aa_2] :
% 1.00/1.27 ( V_aa_2 != V_ba_2
% 1.00/1.27 => ( 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))
% 1.00/1.27 => ( 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)))
% 1.00/1.27 <=> ( V_x_2 != V_y_2
% 1.00/1.27 & ( V_x_2 = V_ba_2
% 1.00/1.27 => 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)) )
% 1.00/1.27 & ( V_x_2 != V_ba_2
% 1.00/1.27 => ( ( V_y_2 = V_ba_2
% 1.00/1.27 => ( V_x_2 = V_aa_2
% 1.00/1.27 | 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)) ) )
% 1.00/1.27 & ( V_y_2 != V_ba_2
% 1.00/1.27 => 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)) ) ) ) ) ) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_above__Lin,axiom,
% 1.00/1.27 ! [V_L_2,V_y_2,V_x_2] :
% 1.00/1.27 ( V_x_2 != V_y_2
% 1.00/1.27 => ( 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))
% 1.00/1.27 => 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)) ) ) ).
% 1.00/1.27
% 1.00/1.27 fof(fact_below__Lin,axiom,
% 1.00/1.27 ! [V_L_2,V_y_2,V_x_2] :
% 1.00/1.27 ( V_x_2 != V_y_2
% 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)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 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)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_x_2,V_y_2)),c_Arrow__Order__Mirabelle_OLin)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Q__def,axiom,
% 1.00/1.28 ! [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____))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_in__lex__prod,axiom,
% 1.00/1.28 ! [V_s_2,V_r_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.28 ( 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)))
% 1.00/1.28 <=> ( 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_a_Ha_2)),V_r_2))
% 1.00/1.28 | ( V_aa_2 = V_a_Ha_2
% 1.00/1.28 & 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)) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_complete__Lin,axiom,
% 1.00/1.28 ! [V_ba_2,V_aa_2] :
% 1.00/1.28 ( V_aa_2 != V_ba_2
% 1.00/1.28 => ? [B_x] :
% 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)),B_x),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.28 & 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)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_wfrec__rel_Oequations,axiom,
% 1.00/1.28 ! [V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2),hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)))
% 1.00/1.28 <=> ? [B_g] :
% 1.00/1.28 ( hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2) = hAPP(hAPP(V_Fa_2,B_g),V_a1_2)
% 1.00/1.28 & ! [B_z] :
% 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),B_z),V_a1_2)),V_R_2))
% 1.00/1.28 => hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z),hAPP(B_g,B_z))) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_cut__apply,axiom,
% 1.00/1.28 ! [V_f_2,T_b,V_r_2,V_aa_2,V_x_2,T_a] :
% 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_aa_2)),V_r_2))
% 1.00/1.28 => 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) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_cuts__eq,axiom,
% 1.00/1.28 ! [V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a] :
% 1.00/1.28 ( 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)
% 1.00/1.28 <=> ! [B_y] :
% 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),B_y),V_x_2)),V_r_2))
% 1.00/1.28 => hAPP(V_f_2,B_y) = hAPP(V_g_2,B_y) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_assms_I1_J,axiom,
% 1.00/1.28 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)))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_const__Lin__Prof,axiom,
% 1.00/1.28 ! [V_L_2] :
% 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)),V_L_2),c_Arrow__Order__Mirabelle_OLin))
% 1.00/1.28 => 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)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_tfl__cut__apply,axiom,
% 1.00/1.28 ! [T_b,V_aa_2,V_x_2,T_a,B_f,B_R] :
% 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_aa_2)),B_R))
% 1.00/1.28 => 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) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_pred__equals__eq2,axiom,
% 1.00/1.28 ! [V_S_2,V_R_2,T_b,T_a] :
% 1.00/1.28 ( 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 <=> V_R_2 = V_S_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_unanimity__def,axiom,
% 1.00/1.28 ! [V_Fa_2] :
% 1.00/1.28 ( c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)
% 1.00/1.28 <=> ! [B_x] :
% 1.00/1.28 ( 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))
% 1.00/1.28 => ! [B_a,B_b] :
% 1.00/1.28 ( ! [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)))
% 1.00/1.28 => 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))) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_IIA__def,axiom,
% 1.00/1.28 ! [V_Fa_2] :
% 1.00/1.28 ( c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)
% 1.00/1.28 <=> ! [B_x] :
% 1.00/1.28 ( 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))
% 1.00/1.28 => ! [B_xa] :
% 1.00/1.28 ( 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))
% 1.00/1.28 => ! [B_a,B_b] :
% 1.00/1.28 ( ! [B_i] :
% 1.00/1.28 ( 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)))
% 1.00/1.28 <=> 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))) )
% 1.00/1.28 => ( 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)))
% 1.00/1.28 <=> 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))) ) ) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_adm__lemma,axiom,
% 1.00/1.28 ! [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))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_dictator__def,axiom,
% 1.00/1.28 ! [V_i_2,V_Fa_2] :
% 1.00/1.28 ( c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)
% 1.00/1.28 <=> ! [B_x] :
% 1.00/1.28 ( 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))
% 1.00/1.28 => hAPP(V_Fa_2,B_x) = hAPP(B_x,V_i_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_cut__def,axiom,
% 1.00/1.28 ! [V_f_2,T_b,V_r_2,V_x_2,V_y_2,T_a] :
% 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_x_2)),V_r_2))
% 1.00/1.28 => 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) )
% 1.00/1.28 & ( ~ 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_x_2)),V_r_2))
% 1.00/1.28 => 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) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_pred__equals__eq,axiom,
% 1.00/1.28 ! [V_S_2,V_R_2,T_a] :
% 1.00/1.28 ( 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)
% 1.00/1.28 <=> V_R_2 = V_S_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_wfrec__rel_Osimps,axiom,
% 1.00/1.28 ! [V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2),V_a2_2))
% 1.00/1.28 <=> ? [B_g] :
% 1.00/1.28 ( V_a2_2 = hAPP(hAPP(V_Fa_2,B_g),V_a1_2)
% 1.00/1.28 & ! [B_z] :
% 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),B_z),V_a1_2)),V_R_2))
% 1.00/1.28 => hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z),hAPP(B_g,B_z))) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_wfrec__rel_Ointros,axiom,
% 1.00/1.28 ! [V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a] :
% 1.00/1.28 ( ! [B_z] :
% 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),B_z),V_x_2)),V_R_2))
% 1.00/1.28 => hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z),hAPP(V_g_2,B_z))) )
% 1.00/1.28 => hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2),hAPP(hAPP(V_Fa_2,V_g_2),V_x_2))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_acc_Osimps,axiom,
% 1.00/1.28 ! [V_r_2,V_aa_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 1.00/1.28 <=> ! [B_x] :
% 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),B_x),V_aa_2)),V_r_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_eq__mem,axiom,
% 1.00/1.28 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))
% 1.00/1.28 <=> V_x_2 = V_y_2 ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_acc__downward,axiom,
% 1.00/1.28 ! [V_aa_2,V_r_2,V_ba_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,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 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_PiE,axiom,
% 1.00/1.28 ! [V_x_2,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,V_B_2)))
% 1.00/1.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2)))
% 1.00/1.28 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_dictatorI,axiom,
% 1.00/1.28 ! [V_i_2,V_Fa_2] :
% 1.00/1.28 ( 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))))
% 1.00/1.28 => ( ! [B_x] :
% 1.00/1.28 ( 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))
% 1.00/1.28 => ! [B_a,B_b] :
% 1.00/1.28 ( B_a != B_b
% 1.00/1.28 => ( 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)))
% 1.00/1.28 => 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))) ) ) )
% 1.00/1.28 => c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_funcset__mem,axiom,
% 1.00/1.28 ! [V_x_2,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 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_B_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Pi__mem,axiom,
% 1.00/1.28 ! [V_x_2,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,V_B_2)))
% 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(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_funcset__id,axiom,
% 1.00/1.28 ! [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)))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_accp__acc__eq,axiom,
% 1.00/1.28 ! [V_x_2,V_r_2,T_a] :
% 1.00/1.28 ( 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))
% 1.00/1.28 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_not__acc__down,axiom,
% 1.00/1.28 ! [V_R_2,V_x_2,T_a] :
% 1.00/1.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))
% 1.00/1.28 => ~ ! [B_z] :
% 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),B_z),V_x_2)),V_R_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_acc_OaccI,axiom,
% 1.00/1.28 ! [V_r_2,V_x_2,T_a] :
% 1.00/1.28 ( ! [B_y] :
% 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),B_y),V_x_2)),V_r_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) )
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_adm__wf__def,axiom,
% 1.00/1.28 ! [V_Fa_2,V_R_2,T_b,T_a] :
% 1.00/1.28 ( c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)
% 1.00/1.28 <=> ! [B_f,B_g,B_x] :
% 1.00/1.28 ( ! [B_z] :
% 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),B_z),B_x)),V_R_2))
% 1.00/1.28 => hAPP(B_f,B_z) = hAPP(B_g,B_z) )
% 1.00/1.28 => hAPP(hAPP(V_Fa_2,B_f),B_x) = hAPP(hAPP(V_Fa_2,B_g),B_x) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_accp_Osimps,axiom,
% 1.00/1.28 ! [V_aa_2,V_r_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))
% 1.00/1.28 <=> ! [B_x] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))
% 1.00/1.28 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_accp_Oequations,axiom,
% 1.00/1.28 ! [V_aa_2,V_r_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))
% 1.00/1.28 <=> ! [B_x] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))
% 1.00/1.28 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_accp__downward,axiom,
% 1.00/1.28 ! [V_aa_2,V_ba_2,V_r_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_ba_2))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.28 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_extensional__arb,axiom,
% 1.00/1.28 ! [V_x_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 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.28 => hAPP(V_f_2,V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Pi__I,axiom,
% 1.00/1.28 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 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(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x))) )
% 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,V_B_2))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_funcsetI,axiom,
% 1.00/1.28 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 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(c_member(T_b),hAPP(V_f_2,B_x)),V_B_2)) )
% 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
% 1.00/1.28 fof(fact_extensional__funcset__arb,axiom,
% 1.00/1.28 ! [V_x_2,V_T_2,V_S_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__funcset(T_a,T_b,V_S_2,V_T_2)))
% 1.00/1.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))
% 1.00/1.28 => hAPP(V_f_2,V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Pi__cong,axiom,
% 1.00/1.28 ! [V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a] :
% 1.00/1.28 ( ! [B_w] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_w),V_A_2))
% 1.00/1.28 => hAPP(V_f_2,B_w) = hAPP(V_g_2,B_w) )
% 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,V_B_2)))
% 1.00/1.28 <=> 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))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_Pi__I_H,axiom,
% 1.00/1.28 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 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(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x))) )
% 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,V_B_2))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_funcset__compose,axiom,
% 1.00/1.28 ! [V_C_2,V_g_2,T_c,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 => ( 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))))
% 1.00/1.28 => 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)))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_compose__assoc,axiom,
% 1.00/1.28 ! [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] :
% 1.00/1.28 ( 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 => ( 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))))
% 1.00/1.28 => ( 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))))
% 1.00/1.28 => 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) ) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_acc__downwards,axiom,
% 1.00/1.28 ! [V_ba_2,V_r_2,V_aa_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,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_ba_2),V_aa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_compose__extensional,axiom,
% 1.00/1.28 ! [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))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_compose__eq,axiom,
% 1.00/1.28 ! [V_f_2,V_g_2,T_b,T_c,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 => 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)) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_extensional__funcset__mem,axiom,
% 1.00/1.28 ! [V_x_2,V_T_2,V_S_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__funcset(T_a,T_b,V_S_2,V_T_2)))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_T_2)) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_acc__downwards__aux,axiom,
% 1.00/1.28 ! [V_r_2,V_aa_2,V_ba_2,T_a] :
% 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_ba_2),V_aa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 1.00/1.28 ! [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))) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_r__into__rtrancl,axiom,
% 1.00/1.28 ! [V_r_2,V_p_2,T_a] :
% 1.00/1.28 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 1.00/1.28 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rtrancl__trans,axiom,
% 1.00/1.28 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 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)),c_Transitive__Closure_Ortrancl(T_a,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_ba_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,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_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 1.00/1.28 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 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)),c_Transitive__Closure_Ortrancl(T_a,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_ba_2),V_c_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_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.28
% 1.00/1.28 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_compose__Id,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_g_2,T_b,T_a] :
% 1.00/1.29 ( 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))))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.29 => 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 ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Id__compose,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.29 ( 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))))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.29 => 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 ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_extensionalityI,axiom,
% 1.00/1.29 ! [V_g_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.29 => ( ! [B_x] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.29 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 1.00/1.29 => V_f_2 = V_g_2 ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_compose__def,axiom,
% 1.00/1.29 ! [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) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_restrict__extensional,axiom,
% 1.00/1.29 ! [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))) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_extensional__restrict,axiom,
% 1.00/1.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.29 => c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2) = V_f_2 ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_restrict__def,axiom,
% 1.00/1.29 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.29 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.29 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = hAPP(V_f_2,V_x_2) )
% 1.00/1.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.29 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_restrict__apply,axiom,
% 1.00/1.29 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 1.00/1.29 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.29 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = hAPP(V_f_2,V_x_2) )
% 1.00/1.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.29 => hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2) = c_HOL_Oundefined(T_b) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__idemp,axiom,
% 1.00/1.29 ! [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) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_restrictI,axiom,
% 1.00/1.29 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.29 ( ! [B_x] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x))) )
% 1.00/1.29 => 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))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_restrict__in__funcset,axiom,
% 1.00/1.29 ! [V_B_2,V_f_2,T_b,V_A_2,T_a] :
% 1.00/1.29 ( ! [B_x] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),V_B_2)) )
% 1.00/1.29 => 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)))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_single__valued__confluent,axiom,
% 1.00/1.29 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 1.00/1.29 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2)
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 | 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))) ) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Not__Domain__rtrancl,axiom,
% 1.00/1.29 ! [V_y_2,V_R_2,V_x_2,T_a] :
% 1.00/1.29 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_a,V_R_2)))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.29 <=> V_x_2 = V_y_2 ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_converse__rtranclE2,axiom,
% 1.00/1.29 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 1.00/1.29 => ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2)
% 1.00/1.29 => ~ ! [B_a,B_b] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),V_r_2))
% 1.00/1.29 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_converse__rtrancl__induct2,axiom,
% 1.00/1.29 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 1.00/1.29 => ( ! [B_a,B_b,B_aa,B_ba] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 1.00/1.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 1.00/1.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__induct2,axiom,
% 1.00/1.29 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 1.00/1.29 => ( ! [B_a,B_b] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))
% 1.00/1.29 => ! [B_aa,B_ba] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 1.00/1.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 1.00/1.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_extensional__funcset__def,axiom,
% 1.00/1.29 ! [V_T_2,V_S_2,T_b,T_a] : c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2) = hAPP(hAPP(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)) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf1E,axiom,
% 1.00/1.29 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 1.00/1.29 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 1.00/1.29 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf1I,axiom,
% 1.00/1.29 ! [T_a,V_B_2,V_x_2,V_A_2] :
% 1.00/1.29 ( hBOOL(hAPP(V_A_2,V_x_2))
% 1.00/1.29 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_IntE,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.00/1.29 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.29 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_IntI,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Int__assoc,axiom,
% 1.00/1.29 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Int__left__commute,axiom,
% 1.00/1.29 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Int__left__absorb,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Int__commute,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Int__absorb,axiom,
% 1.00/1.29 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf1D2,axiom,
% 1.00/1.29 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 1.00/1.29 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf1D1,axiom,
% 1.00/1.29 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 1.00/1.29 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_IntD2,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_IntD1,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Int__iff,axiom,
% 1.00/1.29 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.00/1.29 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.29 & hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__Int__eq,axiom,
% 1.00/1.29 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 1.00/1.29 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_DomainI,axiom,
% 1.00/1.29 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Domain__iff,axiom,
% 1.00/1.29 ! [V_r_2,T_b,V_aa_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2)))
% 1.00/1.29 <=> ? [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)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_single__valuedD,axiom,
% 1.00/1.29 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.29 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 1.00/1.29 => ( 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))
% 1.00/1.29 => ( 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))
% 1.00/1.29 => V_y_2 = V_z_2 ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_single__valued__def,axiom,
% 1.00/1.29 ! [V_r_2,T_b,T_a] :
% 1.00/1.29 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 1.00/1.29 <=> ! [B_x,B_y] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => ! [B_z] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => B_y = B_z ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_DomainP__Domain__eq,axiom,
% 1.00/1.29 ! [V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.29 ( 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)
% 1.00/1.29 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_b,V_r_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__fun__def,axiom,
% 1.00/1.29 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 1.00/1.29 ( class_Lattices_Olattice(T_a)
% 1.00/1.29 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__apply,axiom,
% 1.00/1.29 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 1.00/1.29 ( class_Lattices_Olattice(T_a)
% 1.00/1.29 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_DomainP_Ointros,axiom,
% 1.00/1.29 ! [T_b,T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.29 => c_Predicate_ODomainP(T_a,T_b,V_r_2,V_aa_2) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__Int__eq2,axiom,
% 1.00/1.29 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(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))
% 1.00/1.29 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__assoc,axiom,
% 1.00/1.29 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__sup__aci_I2_J,axiom,
% 1.00/1.29 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Olattice(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf_Oassoc,axiom,
% 1.00/1.29 ! [V_c,V_b,V_a,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__left__commute,axiom,
% 1.00/1.29 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__sup__aci_I3_J,axiom,
% 1.00/1.29 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Olattice(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf_Oleft__commute,axiom,
% 1.00/1.29 ! [V_c,V_a,V_b,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__left__idem,axiom,
% 1.00/1.29 ! [V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__sup__aci_I4_J,axiom,
% 1.00/1.29 ! [V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Olattice(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf_Oleft__idem,axiom,
% 1.00/1.29 ! [V_b,V_a,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__commute,axiom,
% 1.00/1.29 ! [V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__sup__aci_I1_J,axiom,
% 1.00/1.29 ! [V_y,V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Olattice(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf_Ocommute,axiom,
% 1.00/1.29 ! [V_b,V_a,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf__idem,axiom,
% 1.00/1.29 ! [V_x,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf_Oidem,axiom,
% 1.00/1.29 ! [V_a,T_a] :
% 1.00/1.29 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_irrefl__def,axiom,
% 1.00/1.29 ! [V_r_2,T_a] :
% 1.00/1.29 ( c_Relation_Oirrefl(T_a,V_r_2)
% 1.00/1.29 <=> ! [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)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_DomainE,axiom,
% 1.00/1.29 ! [V_r_2,T_b,V_aa_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ODomain(T_a,T_b,V_r_2)))
% 1.00/1.29 => ~ ! [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)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_RangeI,axiom,
% 1.00/1.29 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Relation_ORange(T_a,T_b,V_r_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Id__on__iff,axiom,
% 1.00/1.29 ! [V_A_2,V_y_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2)))
% 1.00/1.29 <=> ( V_x_2 = V_y_2
% 1.00/1.29 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Id__on__eqI,axiom,
% 1.00/1.29 ! [V_A_2,T_a,V_ba_2,V_aa_2] :
% 1.00/1.29 ( V_aa_2 = V_ba_2
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_single__valuedI,axiom,
% 1.00/1.29 ! [V_r_2,T_b,T_a] :
% 1.00/1.29 ( ! [B_x,B_y] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => ! [B_z] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => B_y = B_z ) )
% 1.00/1.29 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__induct,axiom,
% 1.00/1.29 ! [V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 1.00/1.29 => ( ! [B_y] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ! [B_z] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_z)),V_r_2))
% 1.00/1.29 => ( hBOOL(hAPP(V_Pa_2,B_y))
% 1.00/1.29 => hBOOL(hAPP(V_Pa_2,B_z)) ) ) )
% 1.00/1.29 => hBOOL(hAPP(V_Pa_2,V_ba_2)) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf2E,axiom,
% 1.00/1.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 1.00/1.29 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 1.00/1.29 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf2I,axiom,
% 1.00/1.29 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf2D2,axiom,
% 1.00/1.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_inf2D1,axiom,
% 1.00/1.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Range__Id__on,axiom,
% 1.00/1.29 ! [V_A_2,T_a] : c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Domain__Id__on,axiom,
% 1.00/1.29 ! [V_A_2,T_a] : c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 1.00/1.29
% 1.00/1.29 fof(fact_single__valued__Id__on,axiom,
% 1.00/1.29 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Range__iff,axiom,
% 1.00/1.29 ! [V_r_2,T_b,V_aa_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Relation_ORange(T_b,T_a,V_r_2)))
% 1.00/1.29 <=> ? [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)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_RangeP__Range__eq,axiom,
% 1.00/1.29 ! [V_x_2,V_r_2,T_b,T_a] :
% 1.00/1.29 ( 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)
% 1.00/1.29 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Relation_ORange(T_a,T_b,V_r_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Id__onE,axiom,
% 1.00/1.29 ! [V_A_2,V_c_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_c_2),c_Relation_OId__on(T_a,V_A_2)))
% 1.00/1.29 => ~ ! [B_x] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.29 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_RangeE,axiom,
% 1.00/1.29 ! [V_r_2,T_b,V_ba_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Relation_ORange(T_b,T_a,V_r_2)))
% 1.00/1.29 => ~ ! [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)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtranclE,axiom,
% 1.00/1.29 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( V_aa_2 != V_ba_2
% 1.00/1.29 => ~ ! [B_y] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ~ 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)) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_converse__rtranclE,axiom,
% 1.00/1.29 ! [V_r_2,V_z_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.29 => ( V_x_2 != V_z_2
% 1.00/1.29 => ~ ! [B_y] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_r_2))
% 1.00/1.29 => ~ 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))) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_converse__rtrancl__induct,axiom,
% 1.00/1.29 ! [V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( hBOOL(hAPP(V_Pa_2,V_ba_2))
% 1.00/1.29 => ( ! [B_y,B_z] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_z)),V_r_2))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => ( hBOOL(hAPP(V_Pa_2,B_z))
% 1.00/1.29 => hBOOL(hAPP(V_Pa_2,B_y)) ) ) )
% 1.00/1.29 => hBOOL(hAPP(V_Pa_2,V_aa_2)) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_RangeP_Ointros,axiom,
% 1.00/1.29 ! [T_b,T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.29 => c_Predicate_ORangeP(T_a,T_b,V_r_2,V_ba_2) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_RangeP_Oequations,axiom,
% 1.00/1.29 ! [V_a2_2,V_r_2,T_b,T_a] :
% 1.00/1.29 ( c_Predicate_ORangeP(T_a,T_b,V_r_2,V_a2_2)
% 1.00/1.29 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_total__on__def,axiom,
% 1.00/1.29 ! [V_r_2,V_A_2,T_a] :
% 1.00/1.29 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)
% 1.00/1.29 <=> ! [B_x] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.00/1.29 => ! [B_xa] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 1.00/1.29 => ( B_x != B_xa
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2))
% 1.00/1.29 | 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)) ) ) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_in__inv__image,axiom,
% 1.00/1.29 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2)))
% 1.00/1.29 <=> 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)) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_refl__onD1,axiom,
% 1.00/1.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.29 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_refl__onD2,axiom,
% 1.00/1.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 1.00/1.29 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_refl__onD,axiom,
% 1.00/1.29 ! [V_aa_2,V_r_2,V_A_2,T_a] :
% 1.00/1.29 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.29 => 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)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__into__rtrancl,axiom,
% 1.00/1.29 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => 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))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl_Or__into__trancl,axiom,
% 1.00/1.29 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => 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))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_r__into__trancl_H,axiom,
% 1.00/1.29 ! [V_r_2,V_p_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__rtrancl__absorb,axiom,
% 1.00/1.29 ! [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) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__trancl__absorb,axiom,
% 1.00/1.29 ! [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) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__domain,axiom,
% 1.00/1.29 ! [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) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__range,axiom,
% 1.00/1.29 ! [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) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_refl__on__Id__on,axiom,
% 1.00/1.29 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__trans,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( 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))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__into__trancl2,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_r__r__into__trancl,axiom,
% 1.00/1.29 ! [V_c_2,V_R_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => ( 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))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_refl__on__Int,axiom,
% 1.00/1.29 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 1.00/1.29 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.00/1.29 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 1.00/1.29 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__trancl__trancl,axiom,
% 1.00/1.29 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_trancl__rtrancl__trancl,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__into__trancl1,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( 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))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtranclD,axiom,
% 1.00/1.29 ! [V_R_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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)))
% 1.00/1.29 => ( V_aa_2 = V_ba_2
% 1.00/1.29 | ( V_aa_2 != V_ba_2
% 1.00/1.29 & 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))) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__into__trancl2,axiom,
% 1.00/1.29 ! [V_c_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.29 ( 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))
% 1.00/1.29 => ( 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)))
% 1.00/1.29 => 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_rtrancl__eq__or__trancl,axiom,
% 1.00/1.29 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.29 <=> ( V_x_2 = V_y_2
% 1.00/1.29 | ( V_x_2 != V_y_2
% 1.00/1.29 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_tranclD2,axiom,
% 1.00/1.29 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 1.00/1.29 => ? [B_z] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.00/1.29 & 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)) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_tranclD,axiom,
% 1.00/1.29 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 1.00/1.29 => ? [B_z] :
% 1.00/1.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2))
% 1.00/1.29 & 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))) ) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_acyclic__def,axiom,
% 1.00/1.29 ! [V_r_2,T_a] :
% 1.00/1.29 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 1.00/1.29 <=> ! [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))) ) ).
% 1.00/1.29
% 1.00/1.29 fof(fact_tranclE,axiom,
% 1.00/1.29 ! [V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.30 ( 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)))
% 1.00/1.30 => ( ~ 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))
% 1.00/1.30 => ~ ! [B_c] :
% 1.00/1.30 ( 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)))
% 1.00/1.30 => ~ 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)) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_converse__tranclE,axiom,
% 1.00/1.30 ! [V_r_2,V_z_2,V_x_2,T_a] :
% 1.00/1.30 ( 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)))
% 1.00/1.30 => ( ~ 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))
% 1.00/1.30 => ~ ! [B_y] :
% 1.00/1.30 ( 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))
% 1.00/1.30 => ~ 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))) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_acyclicI,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( ! [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)))
% 1.00/1.30 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_acyclic__insert,axiom,
% 1.00/1.30 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Oacyclic(T_a,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))
% 1.00/1.30 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 1.00/1.30 & ~ 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))) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_irrefl__trancl__rD,axiom,
% 1.00/1.30 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 1.00/1.30 ( ! [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)))
% 1.00/1.30 => ( 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))
% 1.00/1.30 => V_x_2 != V_y_2 ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp__trancl__eq,axiom,
% 1.00/1.30 ! [V_xa_2,V_x_2,V_r_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(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),V_xa_2))
% 1.00/1.30 <=> 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_xa_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 1.00/1.30 => c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp_Or__into__trancl,axiom,
% 1.00/1.30 ! [T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_aa_2),V_ba_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insertCI,axiom,
% 1.00/1.30 ! [V_ba_2,V_B_2,V_aa_2,T_a] :
% 1.00/1.30 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_B_2))
% 1.00/1.30 => V_aa_2 = V_ba_2 )
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Set_Oinsert(T_a,V_ba_2,V_B_2))) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insertE,axiom,
% 1.00/1.30 ! [V_A_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Set_Oinsert(T_a,V_ba_2,V_A_2)))
% 1.00/1.30 => ( V_aa_2 != V_ba_2
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insertI1,axiom,
% 1.00/1.30 ! [V_B_2,V_aa_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2))) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__iff,axiom,
% 1.00/1.30 ! [V_A_2,V_ba_2,V_aa_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Set_Oinsert(T_a,V_ba_2,V_A_2)))
% 1.00/1.30 <=> ( V_aa_2 = V_ba_2
% 1.00/1.30 | hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__ident,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.30 => ( c_Set_Oinsert(T_a,V_x_2,V_A_2) = c_Set_Oinsert(T_a,V_x_2,V_B_2)
% 1.00/1.30 <=> V_A_2 = V_B_2 ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insertI2,axiom,
% 1.00/1.30 ! [V_ba_2,V_B_2,V_aa_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_B_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Set_Oinsert(T_a,V_ba_2,V_B_2))) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__absorb,axiom,
% 1.00/1.30 ! [V_A_2,V_aa_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.30 => c_Set_Oinsert(T_a,V_aa_2,V_A_2) = V_A_2 ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__inter__insert,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_aa_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,V_A_2)),c_Set_Oinsert(T_a,V_aa_2,V_B_2)) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Domain__insert,axiom,
% 1.00/1.30 ! [V_r_2,V_ba_2,V_aa_2,T_b,T_a] : c_Relation_ODomain(T_a,T_b,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)) = c_Set_Oinsert(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Range__insert,axiom,
% 1.00/1.30 ! [V_r_2,V_ba_2,V_aa_2,T_a,T_b] : c_Relation_ORange(T_b,T_a,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)) = c_Set_Oinsert(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp__trans,axiom,
% 1.00/1.30 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_x_2),V_y_2))
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_y_2),V_z_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_x_2),V_z_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp_Otrancl__into__trancl,axiom,
% 1.00/1.30 ! [V_c_2,V_ba_2,V_aa_2,V_r_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_aa_2),V_ba_2))
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_c_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_aa_2),V_c_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp__into__tranclp2,axiom,
% 1.00/1.30 ! [V_c_2,T_a,V_ba_2,V_aa_2,V_r_2] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_ba_2),V_c_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_aa_2),V_c_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp_Oequations_I2_J,axiom,
% 1.00/1.30 ! [V_a3_2,V_a1_2,V_r_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_a1_2),V_a3_2))
% 1.00/1.30 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a3_2))
% 1.00/1.30 | ? [B_b] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_a1_2),B_b))
% 1.00/1.30 & hBOOL(hAPP(hAPP(V_r_2,B_b),V_a3_2)) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_tranclp_Oequations_I1_J,axiom,
% 1.00/1.30 ! [V_a2_2,V_a1_2,V_r_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_a1_2),V_a2_2))
% 1.00/1.30 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 1.00/1.30 | ? [B_b] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(T_a,V_r_2),V_a1_2),B_b))
% 1.00/1.30 & hBOOL(hAPP(hAPP(V_r_2,B_b),V_a2_2)) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__code,axiom,
% 1.00/1.30 ! [V_x_2,V_A_2,V_y_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))
% 1.00/1.30 <=> ( V_y_2 = V_x_2
% 1.00/1.30 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__commute,axiom,
% 1.00/1.30 ! [V_A_2,V_y_2,V_x_2,T_a] : c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_y_2,V_A_2)) = c_Set_Oinsert(T_a,V_y_2,c_Set_Oinsert(T_a,V_x_2,V_A_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__absorb2,axiom,
% 1.00/1.30 ! [V_A_2,V_x_2,T_a] : c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_x_2,V_A_2)) = c_Set_Oinsert(T_a,V_x_2,V_A_2) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__insert__left__if1,axiom,
% 1.00/1.30 ! [V_B_2,V_C_2,V_aa_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,V_B_2)),V_C_2) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__insert__right__if1,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2)) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__insert__left__if0,axiom,
% 1.00/1.30 ! [V_B_2,V_C_2,V_aa_2,T_a] :
% 1.00/1.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__insert__right__if0,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__insert__left,axiom,
% 1.00/1.30 ! [V_B_2,V_C_2,V_aa_2,T_a] :
% 1.00/1.30 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,V_B_2)),V_C_2) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 1.00/1.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_C_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__insert__right,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_aa_2,T_a] :
% 1.00/1.30 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2)) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 1.00/1.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_antisym__Id__on,axiom,
% 1.00/1.30 ! [V_A_2,T_a] : c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_antisymD,axiom,
% 1.00/1.30 ! [V_ba_2,V_aa_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Relation_Oantisym(T_a,V_r_2)
% 1.00/1.30 => ( 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))
% 1.00/1.30 => ( 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)),V_r_2))
% 1.00/1.30 => V_aa_2 = V_ba_2 ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_antisym__def,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( c_Relation_Oantisym(T_a,V_r_2)
% 1.00/1.30 <=> ! [B_x,B_y] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 1.00/1.30 => B_x = B_y ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_extensional__funcset__restrict__domain,axiom,
% 1.00/1.30 ! [V_T_2,V_f_2,T_b,V_S_2,V_x_2,T_a] :
% 1.00/1.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,c_Set_Oinsert(T_a,V_x_2,V_S_2),V_T_2)))
% 1.00/1.30 => 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))) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_extensional__funcset__extend__domainI,axiom,
% 1.00/1.30 ! [V_x_2,V_S_2,V_f_2,T_b,V_T_2,V_y_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_T_2))
% 1.00/1.30 => ( 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)))
% 1.00/1.30 => 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,c_Set_Oinsert(T_b,V_x_2,V_S_2),V_T_2))) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__insert,axiom,
% 1.00/1.30 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,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))
% 1.00/1.30 <=> ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 & ~ 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))) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_antisymI,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( ! [B_x,B_y] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 1.00/1.30 => B_x = B_y ) )
% 1.00/1.30 => c_Relation_Oantisym(T_a,V_r_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Range__Int__subset,axiom,
% 1.00/1.30 ! [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,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ORange(T_b,T_a,V_A_2)),c_Relation_ORange(T_b,T_a,V_B_2))) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_equalityI,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 1.00/1.30 => V_A_2 = V_B_2 ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_subsetD,axiom,
% 1.00/1.30 ! [V_c_2,V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__inv__image,axiom,
% 1.00/1.30 ! [V_f_2,T_b,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => c_Wellfounded_Owf(T_b,c_Relation_Oinv__image(T_a,T_b,V_r_2,V_f_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__lex__prod,axiom,
% 1.00/1.30 ! [V_rb_2,T_b,V_ra_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_ra_2)
% 1.00/1.30 => ( c_Wellfounded_Owf(T_b,V_rb_2)
% 1.00/1.30 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__mono,axiom,
% 1.00/1.30 ! [V_aa_2,V_D_2,V_C_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_C_2),c_Set_Oinsert(T_a,V_aa_2,V_D_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_subset__insertI2,axiom,
% 1.00/1.30 ! [V_ba_2,V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_subset__insertI,axiom,
% 1.00/1.30 ! [V_aa_2,V_B_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__mono,axiom,
% 1.00/1.30 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__greatest,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__absorb1,axiom,
% 1.00/1.30 ! [V_A_2,V_B_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__absorb2,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__lower2,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_B_2) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Int__lower1,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_A_2) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_rev__predicate1D,axiom,
% 1.00/1.30 ! [V_Qa_2,T_a,V_x_2,V_Pa_2] :
% 1.00/1.30 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Qa_2)
% 1.00/1.30 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_predicate1D,axiom,
% 1.00/1.30 ! [V_x_2,V_Qa_2,V_Pa_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Qa_2)
% 1.00/1.30 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 1.00/1.30 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_subset__refl,axiom,
% 1.00/1.30 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_set__eq__subset,axiom,
% 1.00/1.30 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.30 ( V_A_2 = V_B_2
% 1.00/1.30 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_equalityD1,axiom,
% 1.00/1.30 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.30 ( V_A_2 = V_B_2
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_equalityD2,axiom,
% 1.00/1.30 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.30 ( V_A_2 = V_B_2
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_subset__trans,axiom,
% 1.00/1.30 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_equalityE,axiom,
% 1.00/1.30 ! [T_a,V_B_2,V_A_2] :
% 1.00/1.30 ( V_A_2 = V_B_2
% 1.00/1.30 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__subset,axiom,
% 1.00/1.30 ! [V_p_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_p_2,V_r_2)
% 1.00/1.30 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_acc__subset,axiom,
% 1.00/1.30 ! [V_R2_2,V_R1_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2,V_R2_2)
% 1.00/1.30 => 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Pi__anti__mono,axiom,
% 1.00/1.30 ! [V_B_2,T_b,V_A_2,V_A_H_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)
% 1.00/1.30 => 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Domain__mono,axiom,
% 1.00/1.30 ! [V_s_2,V_r_2,T_b,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.30 => 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__infE,axiom,
% 1.00/1.30 ! [V_b,V_a,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))
% 1.00/1.30 => ~ ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 1.00/1.30 => ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__mono,axiom,
% 1.00/1.30 ! [V_d,V_b,V_c,V_a,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_d)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d)) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__greatest,axiom,
% 1.00/1.30 ! [V_z,V_y,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__infI,axiom,
% 1.00/1.30 ! [V_b,V_a,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__absorb2,axiom,
% 1.00/1.30 ! [V_x,V_y,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__absorb1,axiom,
% 1.00/1.30 ! [V_y,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__infI2,axiom,
% 1.00/1.30 ! [V_a,V_x,V_b,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),V_x) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__infI1,axiom,
% 1.00/1.30 ! [V_b,V_x,V_a,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),V_x) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__inf__iff,axiom,
% 1.00/1.30 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))
% 1.00/1.30 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.00/1.30 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_z_2) ) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__iff__inf,axiom,
% 1.00/1.30 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.00/1.30 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__le2,axiom,
% 1.00/1.30 ! [V_y,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_y) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__sup__ord_I2_J,axiom,
% 1.00/1.30 ! [V_y,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Olattice(T_a)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_y) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__le1,axiom,
% 1.00/1.30 ! [V_y,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Osemilattice__inf(T_a)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_x) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_inf__sup__ord_I1_J,axiom,
% 1.00/1.30 ! [V_y,V_x,T_a] :
% 1.00/1.30 ( class_Lattices_Olattice(T_a)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_x) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_set__mp,axiom,
% 1.00/1.30 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_set__rev__mp,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_in__mono,axiom,
% 1.00/1.30 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__trancl,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_rtrancl__mono,axiom,
% 1.00/1.30 ! [V_s_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.30 => 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_rtrancl__subset,axiom,
% 1.00/1.30 ! [V_S_2,V_R_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)
% 1.00/1.30 => ( 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))
% 1.00/1.30 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_rtrancl__subset__rtrancl,axiom,
% 1.00/1.30 ! [V_s_2,V_r_2,T_a] :
% 1.00/1.30 ( 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))
% 1.00/1.30 => 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__Int1,axiom,
% 1.00/1.30 ! [V_r_H_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__Int2,axiom,
% 1.00/1.30 ! [V_r_H_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__acyclic,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_antisym__subset,axiom,
% 1.00/1.30 ! [V_s_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.30 => ( c_Relation_Oantisym(T_a,V_s_2)
% 1.00/1.30 => c_Relation_Oantisym(T_a,V_r_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_acyclic__subset,axiom,
% 1.00/1.30 ! [V_r_2,V_s_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Oacyclic(T_a,V_s_2)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.30 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_single__valued__subset,axiom,
% 1.00/1.30 ! [V_s_2,V_r_2,T_b,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.30 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2)
% 1.00/1.30 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_pred__subset__eq,axiom,
% 1.00/1.30 ! [V_S_2,V_R_2,T_a] :
% 1.00/1.30 ( 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))
% 1.00/1.30 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_R_2,V_S_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__not__refl,axiom,
% 1.00/1.30 ! [V_aa_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => ~ 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__not__sym,axiom,
% 1.00/1.30 ! [V_x_2,V_aa_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => ( 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_x_2)),V_r_2))
% 1.00/1.30 => ~ 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)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__asym,axiom,
% 1.00/1.30 ! [V_x_2,V_aa_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => ( 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_x_2)),V_r_2))
% 1.00/1.30 => ~ 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)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__irrefl,axiom,
% 1.00/1.30 ! [V_aa_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => ~ 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_insert__subset,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)
% 1.00/1.30 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 1.00/1.30 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_subset__insert,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 1.00/1.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))
% 1.00/1.30 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__acc__iff,axiom,
% 1.00/1.30 ! [V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_acc__wfD,axiom,
% 1.00/1.30 ! [V_x_2,V_r_2,T_a] :
% 1.00/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_trancl__mono,axiom,
% 1.00/1.30 ! [V_s_2,V_r_2,V_p_2,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_extensional__subset,axiom,
% 1.00/1.30 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 1.00/1.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.00/1.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_B_2))) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_Domain__Int__subset,axiom,
% 1.00/1.30 ! [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,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_b,V_A_2)),c_Relation_ODomain(T_a,T_b,V_B_2))) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_fun__upd__triv,axiom,
% 1.00/1.30 ! [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 ).
% 1.00/1.30
% 1.00/1.30 fof(fact_order__refl,axiom,
% 1.00/1.30 ! [V_x,T_a] :
% 1.00/1.30 ( class_Orderings_Opreorder(T_a)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_wf__measure,axiom,
% 1.00/1.30 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,c_Wellfounded_Omeasure(T_a,V_f_2)) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_le__funE,axiom,
% 1.00/1.30 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 1.00/1.30 ( class_Orderings_Oord(T_b)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 1.00/1.30 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_accp__subset,axiom,
% 1.00/1.30 ! [V_R2_2,V_R1_2,T_a] :
% 1.00/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R1_2,V_R2_2)
% 1.00/1.30 => 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)) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_pred__subset__eq2,axiom,
% 1.00/1.30 ! [V_S_2,V_R_2,T_b,T_a] :
% 1.00/1.30 ( 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))
% 1.00/1.30 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2,V_S_2) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_linorder__linear,axiom,
% 1.00/1.30 ! [V_y,V_x,T_a] :
% 1.00/1.30 ( class_Orderings_Olinorder(T_a)
% 1.00/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.00/1.30 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 1.00/1.30
% 1.00/1.30 fof(fact_order__eq__iff,axiom,
% 1.00/1.30 ! [V_y_2,V_x_2,T_a] :
% 1.00/1.30 ( class_Orderings_Oorder(T_a)
% 1.00/1.30 => ( V_x_2 = V_y_2
% 1.00/1.30 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.12/1.30 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_order__eq__refl,axiom,
% 1.12/1.30 ! [V_y,V_x,T_a] :
% 1.12/1.30 ( class_Orderings_Opreorder(T_a)
% 1.12/1.30 => ( V_x = V_y
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_order__antisym__conv,axiom,
% 1.12/1.30 ! [V_x_2,V_y_2,T_a] :
% 1.12/1.30 ( class_Orderings_Oorder(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.12/1.30 <=> V_x_2 = V_y_2 ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_ord__eq__le__trans,axiom,
% 1.12/1.30 ! [V_c,V_b,V_a,T_a] :
% 1.12/1.30 ( class_Orderings_Oord(T_a)
% 1.12/1.30 => ( V_a = V_b
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_xt1_I3_J,axiom,
% 1.12/1.30 ! [V_c,V_b,V_a,T_a] :
% 1.12/1.30 ( class_Orderings_Oorder(T_a)
% 1.12/1.30 => ( V_a = V_b
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_ord__le__eq__trans,axiom,
% 1.12/1.30 ! [V_c,V_b,V_a,T_a] :
% 1.12/1.30 ( class_Orderings_Oord(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 1.12/1.30 => ( V_b = V_c
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_xt1_I4_J,axiom,
% 1.12/1.30 ! [V_c,V_a,V_b,T_a] :
% 1.12/1.30 ( class_Orderings_Oorder(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 1.12/1.30 => ( V_b = V_c
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_order__antisym,axiom,
% 1.12/1.30 ! [V_y,V_x,T_a] :
% 1.12/1.30 ( class_Orderings_Oorder(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.12/1.30 => V_x = V_y ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_order__trans,axiom,
% 1.12/1.30 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.30 ( class_Orderings_Opreorder(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_xt1_I5_J,axiom,
% 1.12/1.30 ! [V_x,V_y,T_a] :
% 1.12/1.30 ( class_Orderings_Oorder(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.12/1.30 => V_x = V_y ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_xt1_I6_J,axiom,
% 1.12/1.30 ! [V_z,V_x,V_y,T_a] :
% 1.12/1.30 ( class_Orderings_Oorder(T_a)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_linorder__le__cases,axiom,
% 1.12/1.30 ! [V_y,V_x,T_a] :
% 1.12/1.30 ( class_Orderings_Olinorder(T_a)
% 1.12/1.30 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__idem__iff,axiom,
% 1.12/1.30 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 1.12/1.30 ( c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2) = V_f_2
% 1.12/1.30 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__upd,axiom,
% 1.12/1.30 ! [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) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__same,axiom,
% 1.12/1.30 ! [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 ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__apply,axiom,
% 1.12/1.30 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 1.12/1.30 ( ( V_z_2 = V_x_2
% 1.12/1.30 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 1.12/1.30 & ( V_z_2 != V_x_2
% 1.12/1.30 => 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) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__twist,axiom,
% 1.12/1.30 ! [V_d_2,V_ba_2,V_m_2,T_b,T_a,V_c_2,V_aa_2] :
% 1.12/1.30 ( V_aa_2 != V_c_2
% 1.12/1.30 => 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) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__other,axiom,
% 1.12/1.30 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 1.12/1.30 ( V_z_2 != V_x_2
% 1.12/1.30 => 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) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__idem,axiom,
% 1.12/1.30 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] :
% 1.12/1.30 ( hAPP(V_f_2,V_x_2) = V_y_2
% 1.12/1.30 => c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_fun__upd__def,axiom,
% 1.12/1.30 ! [V_ba_2,V_f_2,T_b,T_a,V_aa_2,V_x_2] :
% 1.12/1.30 ( ( V_x_2 = V_aa_2
% 1.12/1.30 => hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_aa_2,V_ba_2),V_x_2) = V_ba_2 )
% 1.12/1.30 & ( V_x_2 != V_aa_2
% 1.12/1.30 => 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) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_le__fun__def,axiom,
% 1.12/1.30 ! [V_g_2,V_f_2,T_a,T_b] :
% 1.12/1.30 ( class_Orderings_Oord(T_b)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 1.12/1.30 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_le__funD,axiom,
% 1.12/1.30 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 1.12/1.30 ( class_Orderings_Oord(T_b)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wf__same__fst,axiom,
% 1.12/1.30 ! [T_a,V_R_2,T_b,V_Pa_2] :
% 1.12/1.30 ( ! [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(V_Pa_2,B_x))
% 1.12/1.30 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) )
% 1.12/1.30 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_tfl__wfrec,axiom,
% 1.12/1.30 ! [T_b,T_a,B_M,B_R] :
% 1.12/1.30 ( c_Wellfounded_Owf(T_a,B_R)
% 1.12/1.30 => ! [B_x] : hAPP(c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_x) = hAPP(hAPP(B_M,hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),c_Recdef_Owfrec(T_a,T_b,B_R,B_M)),B_R),B_x)),B_x) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfrec,axiom,
% 1.12/1.30 ! [V_aa_2,V_H_2,T_b,V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.12/1.30 => hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_aa_2) = hAPP(hAPP(V_H_2,hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)),V_r_2),V_aa_2)),V_aa_2) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_predicate2D,axiom,
% 1.12/1.30 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_b,T_a] :
% 1.12/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Pa_2,V_Qa_2)
% 1.12/1.30 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 1.12/1.30 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_rev__predicate2D,axiom,
% 1.12/1.30 ! [V_Qa_2,T_b,T_a,V_y_2,V_x_2,V_Pa_2] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Pa_2,V_Qa_2)
% 1.12/1.30 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_def__wfrec,axiom,
% 1.12/1.30 ! [V_aa_2,V_H_2,V_r_2,T_b,T_a,V_f_2] :
% 1.12/1.30 ( V_f_2 = c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)
% 1.12/1.30 => ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.12/1.30 => hAPP(V_f_2,V_aa_2) = hAPP(hAPP(V_H_2,hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_aa_2)),V_aa_2) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfrec__def,axiom,
% 1.12/1.30 ! [V_x_2,V_Fa_2,V_R_2,T_a,T_b] : hAPP(c_Recdef_Owfrec(T_b,T_a,V_R_2,V_Fa_2),V_x_2) = c_HOL_OThe(T_a,c_Recdef_Owfrec__rel(T_b,T_a,V_R_2,hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),tc_fun(T_b,T_b),tc_fun(T_b,T_a)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_a)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_a)),tc_fun(T_b,T_a),c_COMBS(T_b,T_b,T_a)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_a)),tc_fun(T_b,tc_fun(T_b,T_a)),tc_fun(T_b,T_a),c_COMBB(tc_fun(T_b,T_a),tc_fun(T_b,T_a),T_b,V_Fa_2)),hAPP(hAPP(c_COMBC(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,T_a))),c_Recdef_Ocut(T_b,T_a)),V_R_2)))),c_COMBI(T_b)),V_x_2)) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_mlex__leq,axiom,
% 1.12/1.30 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 1.12/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2))
% 1.12/1.30 => ( 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))
% 1.12/1.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfrec__unique,axiom,
% 1.12/1.30 ! [V_x_2,V_Fa_2,V_R_2,T_b,T_a] :
% 1.12/1.30 ( c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)
% 1.12/1.30 => ( c_Wellfounded_Owf(T_a,V_R_2)
% 1.12/1.30 => ? [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2),B_x))
% 1.12/1.30 & ! [B_y] :
% 1.12/1.30 ( hBOOL(hAPP(c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2),B_y))
% 1.12/1.30 => B_y = B_x ) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wf__mlex,axiom,
% 1.12/1.30 ! [V_f_2,V_R_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_Owf(T_a,V_R_2)
% 1.12/1.30 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Nitpick_Owfrec_H__def,axiom,
% 1.12/1.30 ! [V_x_2,V_Fa_2,T_b,V_R_2,T_a] :
% 1.12/1.30 ( ( c_Wellfounded_Owf(T_a,V_R_2)
% 1.12/1.30 => c_Nitpick_Owfrec_H(T_a,T_b,V_R_2,V_Fa_2,V_x_2) = c_Nitpick_Owf__wfrec_H(T_a,T_b,V_R_2,V_Fa_2,V_x_2) )
% 1.12/1.30 & ( ~ c_Wellfounded_Owf(T_a,V_R_2)
% 1.12/1.30 => c_Nitpick_Owfrec_H(T_a,T_b,V_R_2,V_Fa_2,V_x_2) = c_HOL_OThe(T_b,c_Recdef_Owfrec__rel(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)),V_x_2)) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_the__sym__eq__trivial,axiom,
% 1.12/1.30 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 1.12/1.30
% 1.12/1.30 fof(fact_the__eq__trivial,axiom,
% 1.12/1.30 ! [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 ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Nitpick_Owf__wfrec_H__def,axiom,
% 1.12/1.30 ! [V_x_2,V_Fa_2,V_R_2,T_a,T_b] : c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_Fa_2,V_x_2) = hAPP(hAPP(V_Fa_2,hAPP(hAPP(hAPP(c_Recdef_Ocut(T_b,T_a),c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_Fa_2)),V_R_2),V_x_2)),V_x_2) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Pi__mono,axiom,
% 1.12/1.30 ! [V_C_2,V_B_2,T_b,V_A_2,T_a] :
% 1.12/1.30 ( ! [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,B_x),hAPP(V_C_2,B_x)) )
% 1.12/1.30 => 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_2,V_C_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfP__wf__eq,axiom,
% 1.12/1.30 ! [V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(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))
% 1.12/1.30 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfP__empty,axiom,
% 1.12/1.30 ! [T_a] : c_Wellfounded_OwfP(T_a,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,c_COMBK(tc_HOL_Obool,T_a,c_fFalse))) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfP__accp__iff,axiom,
% 1.12/1.30 ! [V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 1.12/1.30 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_accp__wfPD,axiom,
% 1.12/1.30 ! [V_x_2,V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 1.12/1.30 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfP__trancl,axiom,
% 1.12/1.30 ! [V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 1.12/1.30 => c_Wellfounded_OwfP(T_a,c_Transitive__Closure_Otranclp(T_a,V_r_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wfP__subset,axiom,
% 1.12/1.30 ! [V_p_2,V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_p_2,V_r_2)
% 1.12/1.30 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wf__in__rel,axiom,
% 1.12/1.30 ! [V_R_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_Owf(T_a,V_R_2)
% 1.12/1.30 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_wf__eq__minimal,axiom,
% 1.12/1.30 ! [V_r_2,T_a] :
% 1.12/1.30 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.12/1.30 <=> ! [B_Q] :
% 1.12/1.30 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 1.12/1.30 => ? [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 1.12/1.30 & ! [B_y] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 1.12/1.30 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_trancl__subset__Sigma__aux,axiom,
% 1.12/1.30 ! [V_A_2,V_r_2,V_ba_2,V_aa_2,T_a] :
% 1.12/1.30 ( 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)))
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))
% 1.12/1.30 => ( V_aa_2 = V_ba_2
% 1.12/1.30 | hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_the__inv__into__def,axiom,
% 1.12/1.30 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : 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))) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_trancl__subset__Sigma,axiom,
% 1.12/1.30 ! [V_A_2,V_r_2,T_a] :
% 1.12/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2))) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Id__on__subset__Times,axiom,
% 1.12/1.30 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_OId__on(T_a,V_A_2),c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2))) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_refl__on__def,axiom,
% 1.12/1.30 ! [V_r_2,V_A_2,T_a] :
% 1.12/1.30 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.12/1.30 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))
% 1.12/1.30 & ! [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.30 => 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)) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_SigmaI,axiom,
% 1.12/1.30 ! [V_B_2,V_ba_2,T_b,V_A_2,V_aa_2,T_a] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.12/1.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_aa_2)))
% 1.12/1.30 => 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_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Times__subset__cancel2,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 1.12/1.30 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)),c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)))
% 1.12/1.30 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_SigmaE2,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.12/1.30 ( 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_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))
% 1.12/1.30 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.12/1.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_aa_2))) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Pair__inject,axiom,
% 1.12/1.30 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 1.12/1.30 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)
% 1.12/1.30 => ~ ( V_a = V_a_H
% 1.12/1.30 => V_b != V_b_H ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Pair__eq,axiom,
% 1.12/1.30 ! [V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.12/1.30 ( 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)
% 1.12/1.30 <=> ( V_aa_2 = V_a_Ha_2
% 1.12/1.30 & V_ba_2 = V_b_Ha_2 ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_split__paired__All,axiom,
% 1.12/1.30 ! [T_b,T_a,V_Pa_2] :
% 1.12/1.30 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 1.12/1.30 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Times__eq__cancel2,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 1.12/1.30 => ( c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)) = c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))
% 1.12/1.30 <=> V_A_2 = V_B_2 ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Sigma__Int__distrib2,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,V_I_2,hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_A_2)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_B_2)) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Times__Int__distrib1,axiom,
% 1.12/1.30 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))),c_Product__Type_OSigma(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Sigma__Int__distrib1,axiom,
% 1.12/1.30 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_C_2)),c_Product__Type_OSigma(T_a,T_b,V_J_2,V_C_2)) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_mem__Sigma__iff,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.12/1.30 ( 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_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))
% 1.12/1.30 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2))
% 1.12/1.30 & hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_aa_2))) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_SigmaD1,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.12/1.30 ( 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_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))
% 1.12/1.30 => hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_SigmaD2,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,V_ba_2,V_aa_2,T_b,T_a] :
% 1.12/1.30 ( 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_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))
% 1.12/1.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_aa_2))) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_refl__onI,axiom,
% 1.12/1.30 ! [V_A_2,V_r_2,T_a] :
% 1.12/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))
% 1.12/1.30 => ( ! [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.30 => 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)) )
% 1.12/1.30 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_prod_Orecs,axiom,
% 1.12/1.30 ! [V_ba_2,V_aa_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_ba_2)) = hAPP(hAPP(V_f1_2,V_aa_2),V_ba_2) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_SigmaE,axiom,
% 1.12/1.30 ! [V_B_2,V_A_2,V_c_2,T_b,T_a] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))
% 1.12/1.30 => ~ ! [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.30 => ! [B_y] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x)))
% 1.12/1.30 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_Sigma__mono,axiom,
% 1.12/1.30 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] :
% 1.12/1.30 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.12/1.30 => ( ! [B_x] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,B_x),hAPP(V_D_2,B_x)) )
% 1.12/1.30 => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2),c_Product__Type_OSigma(T_a,T_b,V_C_2,V_D_2)) ) ) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_internal__split__conv,axiom,
% 1.12/1.30 ! [V_ba_2,V_aa_2,V_c_2,T_a,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_ba_2)) = hAPP(hAPP(V_c_2,V_aa_2),V_ba_2) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_insert__times__insert,axiom,
% 1.12/1.30 ! [V_B_2,V_ba_2,V_A_2,V_aa_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,c_Set_Oinsert(T_a,V_aa_2,V_A_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Set_Oinsert(T_b,V_ba_2,V_B_2))) = 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),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Set_Oinsert(T_b,V_ba_2,V_B_2)))),c_Product__Type_OSigma(T_a,T_b,c_Set_Oinsert(T_a,V_aa_2,V_A_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))) ).
% 1.12/1.30
% 1.12/1.30 fof(fact_sup1E,axiom,
% 1.12/1.30 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 1.12/1.30 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 1.12/1.30 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 1.12/1.30 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 1.12/1.30
% 1.12/1.31 fof(fact_sup1CI,axiom,
% 1.12/1.31 ! [T_a,V_A_2,V_x_2,V_B_2] :
% 1.12/1.31 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 1.12/1.31 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 1.12/1.31 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_UnCI,axiom,
% 1.12/1.31 ! [V_A_2,V_B_2,V_c_2,T_a] :
% 1.12/1.31 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 1.12/1.31 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) )
% 1.12/1.31 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_UnE,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.12/1.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.12/1.31 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Sigma__Un__distrib1,axiom,
% 1.12/1.31 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_C_2)),c_Product__Type_OSigma(T_a,T_b,V_J_2,V_C_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Times__Un__distrib1,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))),c_Product__Type_OSigma(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Sigma__Un__distrib2,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : c_Product__Type_OSigma(T_a,T_b,V_I_2,hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_A_2)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_B_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_rtrancl__Un__subset,axiom,
% 1.12/1.31 ! [V_S_2,V_R_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__upper1,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__upper2,axiom,
% 1.12/1.31 ! [V_A_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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_subset__Un__eq,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.12/1.31 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__absorb1,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__absorb2,axiom,
% 1.12/1.31 ! [V_A_2,V_B_2,T_a] :
% 1.12/1.31 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__least,axiom,
% 1.12/1.31 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 1.12/1.31 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_C_2) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__mono,axiom,
% 1.12/1.31 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 1.12/1.31 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__ord_I3_J,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__ge1,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__ord_I4_J,axiom,
% 1.12/1.31 ! [V_x,V_y,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__ge2,axiom,
% 1.12/1.31 ! [V_x,V_y,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_le__iff__sup,axiom,
% 1.12/1.31 ! [V_y_2,V_x_2,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 1.12/1.31 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_le__sup__iff,axiom,
% 1.12/1.31 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2),V_z_2)
% 1.12/1.31 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_z_2)
% 1.12/1.31 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_z_2) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_le__supI1,axiom,
% 1.12/1.31 ! [V_b,V_a,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_le__supI2,axiom,
% 1.12/1.31 ! [V_a,V_b,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__absorb2,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__absorb1,axiom,
% 1.12/1.31 ! [V_x,V_y,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_le__supI,axiom,
% 1.12/1.31 ! [V_b,V_x,V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__least,axiom,
% 1.12/1.31 ! [V_z,V_x,V_y,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z),V_x) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__mono,axiom,
% 1.12/1.31 ! [V_d,V_b,V_c,V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_d)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d)) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_le__supE,axiom,
% 1.12/1.31 ! [V_x,V_b,V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x)
% 1.12/1.31 => ~ ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 1.12/1.31 => ~ c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_distrib__sup__le,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_distrib__inf__le,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__Un__eq,axiom,
% 1.12/1.31 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 1.12/1.31 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_rtrancl__Un__rtrancl,axiom,
% 1.12/1.31 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_refl__on__Un,axiom,
% 1.12/1.31 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 1.12/1.31 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 1.12/1.31 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 1.12/1.31 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__inf__distrib2,axiom,
% 1.12/1.31 ! [V_x,V_z,V_y,T_a] :
% 1.12/1.31 ( class_Lattices_Odistrib__lattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__distrib2,axiom,
% 1.12/1.31 ! [V_x,V_z,V_y,T_a] :
% 1.12/1.31 ( class_Lattices_Odistrib__lattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__inf__distrib1,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Odistrib__lattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__distrib1,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Odistrib__lattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__inf__absorb,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__absorb,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Range__Un__eq,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a,T_b] : c_Relation_ORange(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ORange(T_b,T_a,V_A_2)),c_Relation_ORange(T_b,T_a,V_B_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup1I1,axiom,
% 1.12/1.31 ! [V_B_2,T_a,V_x_2,V_A_2] :
% 1.12/1.31 ( hBOOL(hAPP(V_A_2,V_x_2))
% 1.12/1.31 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup1I2,axiom,
% 1.12/1.31 ! [V_A_2,T_a,V_x_2,V_B_2] :
% 1.12/1.31 ( hBOOL(hAPP(V_B_2,V_x_2))
% 1.12/1.31 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__absorb,axiom,
% 1.12/1.31 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__commute,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__left__absorb,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__left__commute,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__assoc,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_bex__Un,axiom,
% 1.12/1.31 ! [V_Pa_2,V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( ? [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.12/1.31 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 1.12/1.31 <=> ( ? [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.31 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 1.12/1.31 | ? [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 1.12/1.31 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_ball__Un,axiom,
% 1.12/1.31 ! [V_Pa_2,V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( ! [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.12/1.31 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 1.12/1.31 <=> ( ! [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.31 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 1.12/1.31 & ! [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 1.12/1.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup_Oidem,axiom,
% 1.12/1.31 ! [V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__idem,axiom,
% 1.12/1.31 ! [V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup_Ocommute,axiom,
% 1.12/1.31 ! [V_b,V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__aci_I5_J,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__commute,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup_Oleft__idem,axiom,
% 1.12/1.31 ! [V_b,V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__aci_I8_J,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__left__idem,axiom,
% 1.12/1.31 ! [V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup_Oleft__commute,axiom,
% 1.12/1.31 ! [V_c,V_a,V_b,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__aci_I7_J,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__left__commute,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup_Oassoc,axiom,
% 1.12/1.31 ! [V_c,V_b,V_a,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__sup__aci_I6_J,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__assoc,axiom,
% 1.12/1.31 ! [V_z,V_y,V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Osemilattice__sup(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__apply,axiom,
% 1.12/1.31 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__fun__def,axiom,
% 1.12/1.31 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 1.12/1.31 ( class_Lattices_Olattice(T_a)
% 1.12/1.31 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Domain__Un__eq,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_b,T_a] : c_Relation_ODomain(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_b,V_A_2)),c_Relation_ODomain(T_a,T_b,V_B_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__Int__crazy,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__Int__distrib2,axiom,
% 1.12/1.31 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Int__Un__distrib2,axiom,
% 1.12/1.31 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__Int__distrib,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Int__Un__distrib,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_UnI2,axiom,
% 1.12/1.31 ! [V_A_2,V_B_2,V_c_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 1.12/1.31 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_UnI1,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.12/1.31 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__iff,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 1.12/1.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 1.12/1.31 | hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__insert__right,axiom,
% 1.12/1.31 ! [V_B_2,V_aa_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2)) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__insert__left,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_aa_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,V_B_2)),V_C_2) = c_Set_Oinsert(T_a,V_aa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__Int__assoc__eq,axiom,
% 1.12/1.31 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 1.12/1.31 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_in__rtrancl__UnI,axiom,
% 1.12/1.31 ! [V_S_2,V_R_2,V_x_2,T_a] :
% 1.12/1.31 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 1.12/1.31 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) )
% 1.12/1.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_wf__Un,axiom,
% 1.12/1.31 ! [V_s_2,V_r_2,T_a] :
% 1.12/1.31 ( c_Wellfounded_Owf(T_a,V_r_2)
% 1.12/1.31 => ( c_Wellfounded_Owf(T_a,V_s_2)
% 1.12/1.31 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_a,V_r_2)),c_Relation_ORange(T_a,T_a,V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 1.12/1.31 ! [V_Qa_2,V_Pa_2,V_ba_2,V_aa_2,T_a] :
% 1.12/1.31 ( 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,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 1.12/1.31 => ( ! [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_ba_2)),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)))
% 1.12/1.31 => ! [B_y] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Qa_2))
% 1.12/1.31 => B_y = B_x ) )
% 1.12/1.31 => 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_Pa_2))) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_wf__empty,axiom,
% 1.12/1.31 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_emptyE,axiom,
% 1.12/1.31 ! [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)))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_empty__subsetI,axiom,
% 1.12/1.31 ! [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) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__empty__left,axiom,
% 1.12/1.31 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__empty__right,axiom,
% 1.12/1.31 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Un__empty,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__bot__left,axiom,
% 1.12/1.31 ! [V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__bot__right,axiom,
% 1.12/1.31 ! [V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_sup__eq__bot__iff,axiom,
% 1.12/1.31 ! [V_y_2,V_x_2,T_a] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.12/1.31 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a)
% 1.12/1.31 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a)
% 1.12/1.31 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_insert__is__Un,axiom,
% 1.12/1.31 ! [V_A_2,V_aa_2,T_a] : c_Set_Oinsert(T_a,V_aa_2,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_singleton__iff,axiom,
% 1.12/1.31 ! [V_aa_2,V_ba_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 1.12/1.31 <=> V_ba_2 = V_aa_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_singletonE,axiom,
% 1.12/1.31 ! [V_aa_2,V_ba_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 1.12/1.31 => V_ba_2 = V_aa_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_extensional__funcset__empty__domain,axiom,
% 1.12/1.31 ! [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) = 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))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_extensional__empty,axiom,
% 1.12/1.31 ! [T_b,T_a] : c_FuncSet_Oextensional(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = 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))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_empty__not__insert,axiom,
% 1.12/1.31 ! [V_A_2,V_aa_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != c_Set_Oinsert(T_a,V_aa_2,V_A_2) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_insert__not__empty,axiom,
% 1.12/1.31 ! [V_A_2,V_aa_2,T_a] : c_Set_Oinsert(T_a,V_aa_2,V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_doubleton__eq__iff,axiom,
% 1.12/1.31 ! [V_d_2,V_c_2,V_ba_2,V_aa_2,T_a] :
% 1.12/1.31 ( c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 1.12/1.31 <=> ( ( V_aa_2 = V_c_2
% 1.12/1.31 & V_ba_2 = V_d_2 )
% 1.12/1.31 | ( V_aa_2 = V_d_2
% 1.12/1.31 & V_ba_2 = V_c_2 ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_singleton__inject,axiom,
% 1.12/1.31 ! [V_ba_2,V_aa_2,T_a] :
% 1.12/1.31 ( c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 1.12/1.31 => V_aa_2 = V_ba_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Int__empty__left,axiom,
% 1.12/1.31 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Int__empty__right,axiom,
% 1.12/1.31 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_disjoint__iff__not__equal,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_a] :
% 1.12/1.31 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 <=> ! [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.31 => ! [B_xa] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))
% 1.12/1.31 => B_x != B_xa ) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_trancl__empty,axiom,
% 1.12/1.31 ! [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)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_all__not__in__conv,axiom,
% 1.12/1.31 ! [V_A_2,T_a] :
% 1.12/1.31 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.31 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_ex__in__conv,axiom,
% 1.12/1.31 ! [V_A_2,T_a] :
% 1.12/1.31 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.31 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_empty__iff,axiom,
% 1.12/1.31 ! [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)))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_equals0D,axiom,
% 1.12/1.31 ! [V_aa_2,T_a,V_A_2] :
% 1.12/1.31 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Domain__empty,axiom,
% 1.12/1.31 ! [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)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Domain__empty__iff,axiom,
% 1.12/1.31 ! [V_r_2,T_b,T_a] :
% 1.12/1.31 ( c_Relation_ODomain(T_a,T_b,V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Pi__eq__empty,axiom,
% 1.12/1.31 ! [V_B_2,V_A_2,T_b,T_a] :
% 1.12/1.31 ( 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))
% 1.12/1.31 <=> ? [B_x] :
% 1.12/1.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 1.12/1.31 & hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_extensional__funcset__empty__range,axiom,
% 1.12/1.31 ! [T_b,T_a,V_S_2] :
% 1.12/1.31 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 => 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)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Id__on__empty,axiom,
% 1.12/1.31 ! [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)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Range__empty,axiom,
% 1.12/1.31 ! [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)) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_Range__empty__iff,axiom,
% 1.12/1.31 ! [V_r_2,T_a,T_b] :
% 1.12/1.31 ( c_Relation_ORange(T_b,T_a,V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 1.12/1.31 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_refl__on__empty,axiom,
% 1.12/1.31 ! [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))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__bot__right,axiom,
% 1.12/1.31 ! [V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_inf__bot__left,axiom,
% 1.12/1.31 ! [V_x,T_a] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 1.12/1.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_total__on__empty,axiom,
% 1.12/1.31 ! [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) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_bot__empty__eq,axiom,
% 1.12/1.31 ! [V_x_2,T_a] :
% 1.12/1.31 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))
% 1.12/1.31 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_antisym__empty,axiom,
% 1.12/1.31 ! [T_a] : c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_bot__fun__def,axiom,
% 1.12/1.31 ! [V_x_2,T_b,T_a] :
% 1.12/1.31 ( class_Orderings_Obot(T_a)
% 1.12/1.31 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.12/1.31
% 1.12/1.31 fof(fact_bot__apply,axiom,
% 1.12/1.31 ! [V_x_2,T_b,T_a] :
% 1.12/1.31 ( class_Orderings_Obot(T_a)
% 1.12/1.31 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.12/1.31
% 1.12/1.31 %----Arity declarations (29)
% 1.12/1.31 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 1.12/1.31 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice(T_1)
% 1.12/1.31 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Lattices_Obounded__lattice(T_1)
% 1.12/1.31 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Lattices_Olattice(T_1)
% 1.12/1.31 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Lattices_Olattice(T_1)
% 1.12/1.31 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Lattices_Odistrib__lattice(T_1)
% 1.12/1.31 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Orderings_Opreorder,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Orderings_Opreorder(T_1)
% 1.12/1.31 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Lattices_Olattice,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Lattices_Olattice(T_1)
% 1.12/1.31 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Orderings_Oorder,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Orderings_Oorder(T_1)
% 1.12/1.31 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Orderings_Oord,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Orderings_Oord(T_1)
% 1.12/1.31 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_fun__Orderings_Obot,axiom,
% 1.12/1.31 ! [T_2,T_1] :
% 1.12/1.31 ( class_Orderings_Obot(T_1)
% 1.12/1.31 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 1.12/1.31 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 1.12/1.31 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 1.12/1.31 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 1.12/1.31 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 1.12/1.31 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 1.12/1.31 class_Lattices_Olattice(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 1.12/1.31 class_Orderings_Oorder(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 1.12/1.31 class_Orderings_Oord(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 1.12/1.31 class_Orderings_Obot(tc_Nat_Onat) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 1.12/1.31 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 1.12/1.31 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 1.12/1.31 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 1.12/1.31 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 1.12/1.31 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 1.12/1.31 class_Lattices_Olattice(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 1.12/1.31 class_Orderings_Oorder(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 1.12/1.31 class_Orderings_Oord(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 1.12/1.31 class_Orderings_Obot(tc_HOL_Obool) ).
% 1.12/1.31
% 1.12/1.31 %----Helper facts (11)
% 1.12/1.31 fof(help_c__COMBI__1,axiom,
% 1.12/1.31 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__COMBK__1,axiom,
% 1.12/1.31 ! [V_Q,V_P,T_b,T_a] : hAPP(c_COMBK(T_a,T_b,V_P),V_Q) = V_P ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__COMBB__1,axiom,
% 1.12/1.31 ! [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)) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__COMBC__1,axiom,
% 1.12/1.31 ! [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) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__COMBS__1,axiom,
% 1.12/1.31 ! [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)) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__fequal__1,axiom,
% 1.12/1.31 ! [V_y_2,V_x_2] :
% 1.12/1.31 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 1.12/1.31 | V_x_2 = V_y_2 ) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__fequal__2,axiom,
% 1.12/1.31 ! [V_y_2,V_x_2] :
% 1.12/1.31 ( V_x_2 != V_y_2
% 1.12/1.31 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__fFalse__1,axiom,
% 1.12/1.31 ~ hBOOL(c_fFalse) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__fconj__1,axiom,
% 1.12/1.31 ! [V_Qa_2,V_Pa_2] :
% 1.12/1.31 ( ~ hBOOL(V_Pa_2)
% 1.12/1.31 | ~ hBOOL(V_Qa_2)
% 1.12/1.31 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__fconj__2,axiom,
% 1.12/1.31 ! [V_Qa_2,V_Pa_2] :
% 1.12/1.31 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 1.12/1.31 | hBOOL(V_Pa_2) ) ).
% 1.12/1.31
% 1.12/1.31 fof(help_c__fconj__3,axiom,
% 1.12/1.31 ! [V_Qa_2,V_Pa_2] :
% 1.12/1.31 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 1.12/1.31 | hBOOL(V_Qa_2) ) ).
% 1.12/1.31
% 1.12/1.31 %----Conjectures (1)
% 1.12/1.31 fof(conj_0,conjecture,
% 1.12/1.31 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_b____),v_b_H____)),hAPP(v_F,v_Q____))) ).
% 1.12/1.31
% 1.12/1.31 %------------------------------------------------------------------------------
% 1.12/1.31 %-------------------------------------------
% 1.12/1.31 % Proof found
% 1.12/1.31 % SZS status Theorem for theBenchmark
% 1.12/1.31 % SZS output start Proof
% 1.12/1.32 %ClaNum:1426(EqnAxiom:639)
% 1.12/1.32 %VarNum:8819(SingletonVarNum:2509)
% 1.12/1.32 %MaxLitNum:7
% 1.12/1.32 %MaxfuncDepth:10
% 1.12/1.32 %SharedTerms:111
% 1.12/1.32 %goalClause: 771
% 1.12/1.32 %singleGoalClaCount:1
% 1.12/1.32 [640]P1(a1)
% 1.12/1.32 [641]P2(a1)
% 1.12/1.32 [642]P4(a2)
% 1.12/1.32 [643]P4(a171)
% 1.12/1.32 [644]P21(a2)
% 1.12/1.32 [645]P21(a171)
% 1.12/1.32 [646]P22(a2)
% 1.12/1.32 [647]P22(a171)
% 1.12/1.32 [648]P23(a2)
% 1.12/1.32 [649]P23(a171)
% 1.12/1.32 [650]P24(a171)
% 1.12/1.32 [651]P27(a2)
% 1.12/1.32 [652]P27(a171)
% 1.12/1.32 [653]P25(a2)
% 1.12/1.32 [654]P25(a171)
% 1.12/1.32 [655]P5(a2)
% 1.12/1.32 [656]P5(a171)
% 1.12/1.32 [657]P6(a2)
% 1.12/1.32 [658]P26(a2)
% 1.12/1.32 [659]P26(a171)
% 1.12/1.32 [660]P7(a2)
% 1.12/1.32 [761]~E(a180,a179)
% 1.12/1.32 [762]~E(a178,a179)
% 1.12/1.32 [763]~E(a178,a180)
% 1.12/1.32 [764]~E(a177,a179)
% 1.12/1.32 [765]~E(a177,a180)
% 1.12/1.32 [766]~P28(a52)
% 1.12/1.32 [718]P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a1,a174)))
% 1.12/1.32 [719]P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a1,a175)))
% 1.12/1.32 [771]~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a179),a180)),f12(a1,a174)))
% 1.12/1.32 [711]P28(f12(f12(f55(f172(f173(a169,a169),a2)),f12(a1,a174)),a5))
% 1.12/1.32 [729]P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),a174),a7))
% 1.12/1.32 [730]P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),a175),a7))
% 1.12/1.32 [731]P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),a176),a7))
% 1.12/1.32 [751]P28(f12(f12(f55(f172(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2))),a1),f20(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2),a7,f15(f172(f172(f173(a169,a169),a2),a2),f172(a170,f172(f173(a169,a169),a2)),a5))))
% 1.12/1.32 [701]P20(x7011,f15(f172(x7011,a2),x7011,f15(a2,x7011,a52)))
% 1.12/1.32 [720]P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a179),a180)),f12(a174,x7201)))
% 1.12/1.32 [680]E(f27(f172(f173(x6801,x6801),a2)),f25(x6801,f27(f172(x6801,a2))))
% 1.12/1.32 [681]P8(x6811,f27(f172(f173(x6811,x6811),a2)))
% 1.12/1.32 [682]P14(x6821,f27(f172(f173(x6821,x6821),a2)))
% 1.12/1.32 [691]P16(x6911,f27(f172(x6911,a2)),f27(f172(f173(x6911,x6911),a2)))
% 1.12/1.32 [690]E(f47(x6901,f27(f172(f173(x6901,x6901),a2))),f27(f172(f173(x6901,x6901),a2)))
% 1.12/1.32 [758]E(f24(f172(f173(a169,a169),a2),f172(f173(a169,a169),a2),f12(f12(f30(f172(f173(a169,a169),a2),f12(f12(a13,a177),a178)),f12(a175,x7581)),f8(f12(a175,x7581),a178,a177)),f12(f12(f17(f172(f173(a169,a169),a2),f172(f173(a169,a169),a2),f172(f173(a169,a169),a2)),f30(f172(f173(a169,a169),a2),f12(f12(a13,a179),a180))),f12(f12(f4(f172(f173(a169,a169),a2),a169,f172(f173(a169,a169),a2)),f12(f12(f4(f172(f173(a169,a169),a2),a169,f172(a169,f172(f173(a169,a169),a2))),a9),a179)),a180))),f12(a174,x7581))
% 1.12/1.32 [663]P8(x6631,f25(x6631,x6632))
% 1.12/1.32 [664]P14(x6641,f42(x6641,x6642))
% 1.12/1.32 [668]P9(f172(x6681,a2),x6682,x6682)
% 1.12/1.32 [669]P15(x6691,x6691,f25(x6691,x6692))
% 1.12/1.32 [670]P16(x6701,x6702,f25(x6701,x6702))
% 1.12/1.32 [661]E(f12(f3(x6611),x6612),x6612)
% 1.12/1.32 [662]E(f14(x6621,f12(a13,x6622)),x6622)
% 1.12/1.32 [665]E(f43(x6651,f43(x6651,x6652)),f43(x6651,x6652))
% 1.12/1.32 [666]E(f43(x6661,f47(x6661,x6662)),f43(x6661,x6662))
% 1.12/1.32 [667]E(f47(x6671,f43(x6671,x6672)),f43(x6671,x6672))
% 1.12/1.32 [671]E(f26(x6711,x6711,f25(x6711,x6712)),x6712)
% 1.12/1.32 [672]E(f44(x6721,x6721,f25(x6721,x6722)),x6722)
% 1.12/1.32 [673]P18(x6731,f27(f172(x6731,a2)),x6732)
% 1.12/1.32 [675]P9(f172(x6751,a2),f27(f172(x6751,a2)),x6752)
% 1.12/1.32 [676]E(f26(x6761,x6761,f47(x6761,x6762)),f26(x6761,x6761,x6762))
% 1.12/1.32 [677]E(f44(x6771,x6771,f47(x6771,x6772)),f44(x6771,x6771,x6772))
% 1.12/1.32 [684]E(f12(f12(f31(f172(x6841,a2)),x6842),f27(f172(x6841,a2))),x6842)
% 1.12/1.32 [686]E(f12(f12(f28(f172(x6861,a2)),x6862),f27(f172(x6861,a2))),f27(f172(x6861,a2)))
% 1.12/1.32 [721]P9(f172(f173(x7211,x7211),a2),f25(x7211,x7212),f35(x7211,x7211,x7212,f15(f172(x7211,a2),x7211,x7212)))
% 1.12/1.32 [770]~P28(f12(f12(f55(x7701),x7702),f27(f172(x7701,a2))))
% 1.12/1.32 [678]E(f12(f12(f28(f172(x6781,a2)),x6782),x6782),x6782)
% 1.12/1.32 [679]E(f12(f12(f31(f172(x6791,a2)),x6792),x6792),x6792)
% 1.12/1.32 [687]E(f26(x6871,x6872,f27(f172(f173(x6871,x6872),a2))),f27(f172(x6871,a2)))
% 1.12/1.32 [688]E(f44(x6881,x6882,f27(f172(f173(x6881,x6882),a2))),f27(f172(x6882,a2)))
% 1.12/1.32 [689]E(f12(f12(f31(f172(x6891,a2)),f27(f172(x6891,a2))),x6892),x6892)
% 1.12/1.32 [692]E(f12(f12(f28(f172(x6921,a2)),f27(f172(x6921,a2))),x6922),f27(f172(x6921,a2)))
% 1.12/1.32 [702]E(f45(f172(x7021,x7022),f15(x7022,x7021,f29(x7022)),f27(f172(f172(x7021,x7022),a2))),f16(x7021,x7022,f27(f172(x7021,a2))))
% 1.12/1.32 [703]E(f14(x7031,f12(f12(f4(x7031,x7031,a2),a13),x7032)),x7032)
% 1.12/1.32 [739]P28(f12(f12(f55(f172(x7391,x7391)),f3(x7391)),f20(x7391,x7391,x7392,f15(f172(x7391,a2),x7391,x7392))))
% 1.12/1.32 [683]P9(f172(x6831,a2),x6832,f45(x6831,x6833,x6832))
% 1.12/1.32 [685]E(f45(x6851,x6852,f45(x6851,x6852,x6853)),f45(x6851,x6852,x6853))
% 1.12/1.32 [695]P28(f12(f12(f55(x6951),x6952),f45(x6951,x6952,x6953)))
% 1.12/1.32 [723]P28(f12(f12(f55(f173(x7231,x7231)),f12(f12(f34(x7231,x7231),x7232),x7232)),f43(x7231,x7233)))
% 1.12/1.32 [767]~E(f45(x7671,x7672,x7673),f27(f172(x7671,a2)))
% 1.12/1.32 [768]~E(f27(f172(x7681,a2)),f45(x7681,x7682,x7683))
% 1.12/1.32 [693]E(f12(f12(f28(f172(x6931,a2)),x6932),x6933),f12(f12(f28(f172(x6931,a2)),x6933),x6932))
% 1.12/1.32 [694]E(f12(f12(f31(f172(x6941,a2)),x6942),x6943),f12(f12(f31(f172(x6941,a2)),x6943),x6942))
% 1.12/1.32 [697]P9(f172(x6971,a2),x6972,f12(f12(f31(f172(x6971,a2)),x6973),x6972))
% 1.12/1.32 [698]P9(f172(x6981,a2),x6982,f12(f12(f31(f172(x6981,a2)),x6982),x6983))
% 1.12/1.32 [699]P9(f172(x6991,a2),f12(f12(f28(f172(x6991,a2)),x6992),x6993),x6993)
% 1.12/1.32 [700]P9(f172(x7001,a2),f12(f12(f28(f172(x7001,a2)),x7002),x7003),x7002)
% 1.12/1.32 [710]E(f22(x7101,x7102,f27(f172(x7101,a2)),x7103),f45(f172(x7101,x7102),f15(x7102,x7101,f29(x7102)),f27(f172(f172(x7101,x7102),a2))))
% 1.12/1.32 [705]E(f12(f12(f28(f172(x7051,a2)),x7052),f12(f12(f28(f172(x7051,a2)),x7052),x7053)),f12(f12(f28(f172(x7051,a2)),x7052),x7053))
% 1.12/1.32 [706]E(f12(f12(f31(f172(x7061,a2)),x7062),f12(f12(f31(f172(x7061,a2)),x7062),x7063)),f12(f12(f31(f172(x7061,a2)),x7062),x7063))
% 1.12/1.32 [709]E(f12(f12(f31(f172(x7091,a2)),f45(x7091,x7092,f27(f172(x7091,a2)))),x7093),f45(x7091,x7092,x7093))
% 1.12/1.32 [736]E(f43(x7361,f12(f12(f31(f172(f173(x7361,x7361),a2)),f43(x7361,x7362)),f43(x7361,x7363))),f43(x7361,f12(f12(f31(f172(f173(x7361,x7361),a2)),x7362),x7363)))
% 1.12/1.32 [743]P9(f172(f173(x7431,x7431),a2),f12(f12(f31(f172(f173(x7431,x7431),a2)),f43(x7431,x7432)),f43(x7431,x7433)),f43(x7431,f12(f12(f31(f172(f173(x7431,x7431),a2)),x7432),x7433)))
% 1.12/1.32 [674]E(f12(f15(x6741,x6742,x6743),x6744),x6743)
% 1.12/1.32 [696]E(f45(x6961,x6962,f45(x6961,x6963,x6964)),f45(x6961,x6963,f45(x6961,x6962,x6964)))
% 1.12/1.32 [728]E(f18(x7281,x7282,x7283,x7284,f12(x7283,x7284)),x7283)
% 1.12/1.32 [740]E(f12(f12(f28(f172(f172(x7401,x7402),a2)),f20(x7401,x7402,x7403,f15(f172(x7402,a2),x7401,x7404))),f16(x7401,x7402,x7403)),f22(x7401,x7402,x7403,x7404))
% 1.12/1.32 [745]P28(f12(f12(f55(f172(x7451,x7452)),f23(x7451,x7452,x7453,x7454)),f16(x7451,x7452,x7454)))
% 1.12/1.32 [759]P11(x7591,x7592,x7593,f12(f12(f4(f172(x7591,x7592),f172(x7591,x7591),f172(x7591,x7592)),f12(f6(f172(x7591,f172(x7591,x7592)),f172(f172(x7591,x7591),f172(x7591,x7592)),f172(x7591,x7592),f17(x7591,x7591,x7592)),f12(f6(f172(x7591,f172(x7591,x7592)),f172(x7591,f172(x7591,x7592)),f172(x7591,x7592),f6(f172(x7591,x7592),f172(x7591,x7592),x7591,x7594)),f12(f12(f4(f172(x7591,x7592),f172(f173(x7591,x7591),a2),f172(x7591,f172(x7591,x7592))),f38(x7591,x7592)),x7593)))),f3(x7591)))
% 1.12/1.32 [708]E(f45(x7081,x7082,f12(f12(f31(f172(x7081,a2)),x7083),x7084)),f12(f12(f31(f172(x7081,a2)),x7083),f45(x7081,x7082,x7084)))
% 1.12/1.32 [712]E(f45(x7121,x7122,f12(f12(f31(f172(x7121,a2)),x7123),x7124)),f12(f12(f31(f172(x7121,a2)),f45(x7121,x7122,x7123)),x7124))
% 1.12/1.32 [715]E(f12(f12(f28(f172(x7151,a2)),f45(x7151,x7152,x7153)),f45(x7151,x7152,x7154)),f45(x7151,x7152,f12(f12(f28(f172(x7151,a2)),x7153),x7154)))
% 1.12/1.32 [716]E(f12(f12(f28(f172(x7161,a2)),x7162),f12(f12(f28(f172(x7161,a2)),x7163),x7164)),f12(f12(f28(f172(x7161,a2)),x7163),f12(f12(f28(f172(x7161,a2)),x7162),x7164)))
% 1.12/1.32 [717]E(f12(f12(f31(f172(x7171,a2)),x7172),f12(f12(f31(f172(x7171,a2)),x7173),x7174)),f12(f12(f31(f172(x7171,a2)),x7173),f12(f12(f31(f172(x7171,a2)),x7172),x7174)))
% 1.12/1.32 [734]E(f12(f12(f31(f172(x7341,a2)),f12(f12(f28(f172(x7341,a2)),x7342),x7343)),f12(f12(f28(f172(x7341,a2)),x7342),x7344)),f12(f12(f28(f172(x7341,a2)),x7342),f12(f12(f31(f172(x7341,a2)),x7343),x7344)))
% 1.12/1.32 [735]E(f12(f12(f28(f172(x7351,a2)),f12(f12(f31(f172(x7351,a2)),x7352),x7353)),f12(f12(f31(f172(x7351,a2)),x7352),x7354)),f12(f12(f31(f172(x7351,a2)),x7352),f12(f12(f28(f172(x7351,a2)),x7353),x7354)))
% 1.12/1.32 [753]E(f12(f12(f31(f172(x7531,a2)),f12(f12(f31(f172(x7531,a2)),f12(f12(f28(f172(x7531,a2)),x7532),x7533)),f12(f12(f28(f172(x7531,a2)),x7533),x7534))),f12(f12(f28(f172(x7531,a2)),x7534),x7532)),f12(f12(f28(f172(x7531,a2)),f12(f12(f28(f172(x7531,a2)),f12(f12(f31(f172(x7531,a2)),x7532),x7533)),f12(f12(f31(f172(x7531,a2)),x7533),x7534))),f12(f12(f31(f172(x7531,a2)),x7534),x7532)))
% 1.12/1.32 [724]E(f12(f12(f28(f172(x7241,a2)),f12(f12(f28(f172(x7241,a2)),x7242),x7243)),x7244),f12(f12(f28(f172(x7241,a2)),x7242),f12(f12(f28(f172(x7241,a2)),x7243),x7244)))
% 1.12/1.32 [725]E(f12(f12(f31(f172(x7251,a2)),f12(f12(f31(f172(x7251,a2)),x7252),x7253)),x7254),f12(f12(f31(f172(x7251,a2)),x7252),f12(f12(f31(f172(x7251,a2)),x7253),x7254)))
% 1.12/1.32 [726]E(f12(f12(f31(f172(x7261,a2)),f26(x7261,x7262,x7263)),f26(x7261,x7262,x7264)),f26(x7261,x7262,f12(f12(f31(f172(f173(x7261,x7262),a2)),x7263),x7264)))
% 1.12/1.32 [727]E(f12(f12(f31(f172(x7271,a2)),f44(x7272,x7271,x7273)),f44(x7272,x7271,x7274)),f44(x7272,x7271,f12(f12(f31(f172(f173(x7272,x7271),a2)),x7273),x7274)))
% 1.12/1.32 [737]E(f12(f12(f31(f172(x7371,a2)),f12(f12(f28(f172(x7371,a2)),x7372),x7373)),f12(f12(f28(f172(x7371,a2)),x7374),x7373)),f12(f12(f28(f172(x7371,a2)),f12(f12(f31(f172(x7371,a2)),x7372),x7374)),x7373))
% 1.12/1.32 [738]E(f12(f12(f28(f172(x7381,a2)),f12(f12(f31(f172(x7381,a2)),x7382),x7383)),f12(f12(f31(f172(x7381,a2)),x7384),x7383)),f12(f12(f31(f172(x7381,a2)),f12(f12(f28(f172(x7381,a2)),x7382),x7384)),x7383))
% 1.12/1.32 [746]P9(f172(x7461,a2),f26(x7461,x7462,f12(f12(f28(f172(f173(x7461,x7462),a2)),x7463),x7464)),f12(f12(f28(f172(x7461,a2)),f26(x7461,x7462,x7463)),f26(x7461,x7462,x7464)))
% 1.12/1.32 [747]P9(f172(x7471,a2),f44(x7472,x7471,f12(f12(f28(f172(f173(x7472,x7471),a2)),x7473),x7474)),f12(f12(f28(f172(x7471,a2)),f44(x7472,x7471,x7473)),f44(x7472,x7471,x7474)))
% 1.12/1.32 [744]E(f12(f18(x7441,x7442,x7443,x7444,x7445),x7444),x7445)
% 1.12/1.32 [760]E(f14(x7601,f39(x7602,x7601,x7603,f12(f12(f4(f172(x7602,x7601),f172(x7602,x7602),f172(x7602,x7601)),f12(f6(f172(x7602,f172(x7602,x7601)),f172(f172(x7602,x7602),f172(x7602,x7601)),f172(x7602,x7601),f17(x7602,x7602,x7601)),f12(f6(f172(x7602,f172(x7602,x7601)),f172(x7602,f172(x7602,x7601)),f172(x7602,x7601),f6(f172(x7602,x7601),f172(x7602,x7601),x7602,x7604)),f12(f12(f4(f172(x7602,x7601),f172(f173(x7602,x7602),a2),f172(x7602,f172(x7602,x7601))),f38(x7602,x7601)),x7603)))),f3(x7602)),x7605)),f12(f40(x7602,x7601,x7603,x7604),x7605))
% 1.12/1.32 [713]E(f26(x7131,x7132,f45(f173(x7131,x7132),f12(f12(f34(x7131,x7132),x7133),x7134),x7135)),f45(x7131,x7133,f26(x7131,x7132,x7135)))
% 1.12/1.32 [714]E(f44(x7141,x7142,f45(f173(x7141,x7142),f12(f12(f34(x7141,x7142),x7143),x7144),x7145)),f45(x7142,x7144,f44(x7141,x7142,x7145)))
% 1.12/1.32 [741]E(f12(f12(f28(f172(f173(x7411,x7412),a2)),f35(x7411,x7412,x7413,x7414)),f35(x7411,x7412,x7415,x7414)),f35(x7411,x7412,f12(f12(f28(f172(x7411,a2)),x7413),x7415),x7414))
% 1.12/1.32 [742]E(f12(f12(f31(f172(f173(x7421,x7422),a2)),f35(x7421,x7422,x7423,x7424)),f35(x7421,x7422,x7425,x7424)),f35(x7421,x7422,f12(f12(f31(f172(x7421,a2)),x7423),x7425),x7424))
% 1.12/1.32 [754]E(f35(x7541,x7542,x7543,f12(f12(f17(x7541,f172(x7542,a2),f172(x7542,a2)),f12(f6(f172(x7542,a2),f172(f172(x7542,a2),f172(x7542,a2)),x7541,f28(f172(x7542,a2))),x7544)),x7545)),f12(f12(f28(f172(f173(x7541,x7542),a2)),f35(x7541,x7542,x7543,x7544)),f35(x7541,x7542,x7543,x7545)))
% 1.12/1.32 [755]E(f35(x7551,x7552,x7553,f12(f12(f17(x7551,f172(x7552,a2),f172(x7552,a2)),f12(f6(f172(x7552,a2),f172(f172(x7552,a2),f172(x7552,a2)),x7551,f31(f172(x7552,a2))),x7554)),x7555)),f12(f12(f31(f172(f173(x7551,x7552),a2)),f35(x7551,x7552,x7553,x7554)),f35(x7551,x7552,x7553,x7555)))
% 1.12/1.32 [757]E(f14(x7571,f12(f12(f17(x7571,a2,a2),f12(f6(a2,f172(a2,a2),x7571,a54),f12(f12(f4(x7571,f172(x7571,a2),a2),f55(x7571)),x7572))),f12(f12(f4(x7571,x7573,a2),f12(f6(x7573,f172(x7573,a2),x7571,a13),x7574)),x7575))),f21(x7571,x7573,x7572,x7574,x7575))
% 1.12/1.32 [750]E(f18(x7501,x7502,f18(x7501,x7502,x7503,x7504,x7505),x7504,x7506),f18(x7501,x7502,x7503,x7504,x7506))
% 1.12/1.32 [722]E(f12(f12(f6(x7221,x7222,x7223,x7224),x7225),x7226),f12(x7224,f12(x7225,x7226)))
% 1.12/1.32 [704]E(f12(f12(f12(f4(x7041,x7042,x7043),x7044),x7045),x7046),f12(f12(x7044,x7046),x7045))
% 1.12/1.32 [707]E(f12(f12(f12(f17(x7071,x7072,x7073),x7074),x7075),x7076),f12(f12(x7074,x7076),f12(x7075,x7076)))
% 1.12/1.32 [732]E(f36(x7321,x7322,x7323,x7324,f12(f12(f34(x7321,x7322),x7325),x7326)),f12(f12(x7324,x7325),x7326))
% 1.12/1.32 [733]E(f37(x7331,x7332,x7333,x7334,f12(f12(f34(x7331,x7332),x7335),x7336)),f12(f12(x7334,x7335),x7336))
% 1.12/1.32 [752]E(f45(f173(x7521,x7522),f12(f12(f34(x7521,x7522),x7523),x7524),f12(f12(f31(f172(f173(x7521,x7522),a2)),f35(x7521,x7522,x7525,f15(f172(x7522,a2),x7521,f45(x7522,x7524,x7526)))),f35(x7521,x7522,f45(x7521,x7523,x7525),f15(f172(x7522,a2),x7521,x7526)))),f35(x7521,x7522,f45(x7521,x7523,x7525),f15(f172(x7522,a2),x7521,f45(x7522,x7524,x7526))))
% 1.12/1.32 [1055]E(a178,a177)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a178),a177)),f12(a1,a174)))
% 1.12/1.32 [1170]~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a175,x11701)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a178),a180)),f12(a176,x11701)))
% 1.12/1.32 [1171]~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a175,x11711)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a174,x11711)))
% 1.12/1.32 [1172]P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a175,x11721)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a178),a180)),f12(a176,x11721)))
% 1.12/1.32 [1173]~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a174,x11731)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),a177),a179)),f12(a175,x11731)))
% 1.12/1.32 [1103]P1(x11031)+P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),f159(x11031)),a7))
% 1.12/1.32 [1104]P2(x11041)+P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),f75(x11041)),a7))
% 1.12/1.32 [1105]P2(x11051)+P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),f77(x11051)),a7))
% 1.12/1.32 [1136]P1(x11361)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f163(x11361)),f72(x11361))),f12(x11361,f159(x11361))))
% 1.12/1.32 [1223]~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12231),a5))+P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),f15(f172(f173(a169,a169),a2),a170,x12231)),a7))
% 1.12/1.32 [772]~P14(x7721,x7722)+P19(x7721,x7722)
% 1.12/1.32 [789]~P22(x7891)+P9(x7891,x7892,x7892)
% 1.12/1.32 [773]~P4(x7732)+P4(f172(x7731,x7732))
% 1.12/1.32 [774]~P4(x7742)+P21(f172(x7741,x7742))
% 1.12/1.32 [775]~P22(x7752)+P22(f172(x7751,x7752))
% 1.12/1.32 [776]~P23(x7762)+P23(f172(x7761,x7762))
% 1.12/1.32 [777]~P27(x7772)+P27(f172(x7771,x7772))
% 1.12/1.32 [778]~P4(x7782)+P25(f172(x7781,x7782))
% 1.12/1.32 [779]~P5(x7792)+P5(f172(x7791,x7792))
% 1.12/1.32 [780]~P7(x7802)+P6(f172(x7801,x7802))
% 1.12/1.32 [781]~P26(x7812)+P26(f172(x7811,x7812))
% 1.12/1.32 [782]~P7(x7822)+P7(f172(x7821,x7822))
% 1.12/1.32 [783]P8(x7831,x7832)+~E(f56(x7832,x7831),f57(x7832,x7831))
% 1.12/1.32 [784]P8(x7841,x7842)+~E(f148(x7842,x7841),f149(x7842,x7841))
% 1.12/1.32 [790]~P19(x7901,x7902)+P8(x7901,f43(x7901,x7902))
% 1.12/1.32 [791]~P14(x7911,x7912)+P14(x7911,f47(x7911,x7912))
% 1.12/1.32 [792]~P20(x7921,x7922)+P20(x7921,f48(x7921,x7922))
% 1.12/1.32 [829]~P14(x8291,x8292)+P20(x8291,f19(x8291,x8291,x8292))
% 1.12/1.32 [796]~P6(x7961)+E(f12(f12(f31(x7961),x7962),f27(x7961)),x7962)
% 1.12/1.32 [797]~P6(x7971)+E(f12(f12(f28(x7971),x7972),f27(x7971)),f27(x7971))
% 1.12/1.32 [800]~E(x8001,x8002)+P28(f12(f12(a13,x8001),x8002))
% 1.12/1.32 [823]E(x8231,x8232)+~P28(f12(f12(a13,x8231),x8232))
% 1.12/1.32 [824]P28(x8241)+~P28(f12(f12(a54,x8242),x8241))
% 1.12/1.32 [825]P28(x8251)+~P28(f12(f12(a54,x8251),x8252))
% 1.12/1.32 [826]E(x8261,x8262)+~E(f12(x8261,f58(x8262,x8261)),f12(x8262,f58(x8262,x8261)))
% 1.12/1.32 [827]P3(x8271,x8272)+~E(f12(x8271,f59(x8272,x8271)),f12(f59(x8272,x8271),x8272))
% 1.12/1.32 [873]P20(x8731,x8732)+~P28(f12(f49(x8731,x8732),f150(x8732,x8731)))
% 1.12/1.32 [902]P14(x9021,x9022)+P28(f12(f12(f55(x9021),f156(x9022,x9021)),f157(x9022,x9021)))
% 1.12/1.32 [971]P14(x9711,x9712)+~P28(f12(f12(f55(x9711),f151(x9712,x9711)),f50(x9711,x9712)))
% 1.12/1.32 [1056]E(x10561,x10562)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x10561),x10562)),f98(x10562,x10561)))
% 1.12/1.32 [1133]P19(x11331,x11332)+P28(f12(f12(f55(f173(x11331,x11331)),f12(f12(f34(x11331,x11331),f138(x11332,x11331)),f138(x11332,x11331))),f47(x11331,x11332)))
% 1.12/1.32 [1134]P19(x11341,x11342)+P28(f12(f12(f55(f173(x11341,x11341)),f12(f12(f34(x11341,x11341),f142(x11342,x11341)),f142(x11342,x11341))),f47(x11341,x11342)))
% 1.12/1.32 [786]~P21(x7861)+E(f12(f12(f28(x7861),x7862),x7862),x7862)
% 1.12/1.32 [788]~P25(x7881)+E(f12(f12(f31(x7881),x7882),x7882),x7882)
% 1.12/1.32 [798]~P6(x7981)+E(f12(f12(f31(x7981),f27(x7981)),x7982),x7982)
% 1.12/1.32 [799]~P6(x7991)+E(f12(f12(f28(x7991),f27(x7991)),x7992),f27(x7991))
% 1.12/1.32 [880]E(x8801,f27(f172(x8802,a2)))+P28(f12(f12(f55(x8802),f60(x8801,x8802)),x8801))
% 1.12/1.32 [881]E(x8811,f27(f172(x8812,a2)))+P28(f12(f12(f55(x8812),f73(x8811,x8812)),x8811))
% 1.12/1.32 [1026]E(x10261,x10262)+P28(f12(f12(f55(f172(f173(a169,a169),a2)),f98(x10261,x10262)),a5))
% 1.12/1.32 [1080]P1(x10801)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f163(x10801)),f72(x10801))),f12(f159(x10801),x10802)))
% 1.12/1.32 [1106]P3(x11061,x11062)+P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),f59(x11062,x11061)),a7))
% 1.12/1.32 [1127]P17(x11271,x11272)+P28(f12(f12(f55(f173(x11271,x11271)),f12(f12(f34(x11271,x11271),f121(x11272,x11271)),f121(x11272,x11271))),x11272))
% 1.12/1.32 [1128]P8(x11281,x11282)+P28(f12(f12(f55(f173(x11281,x11281)),f12(f12(f34(x11281,x11281),f57(x11282,x11281)),f56(x11282,x11281))),x11282))
% 1.12/1.32 [1129]P8(x11291,x11292)+P28(f12(f12(f55(f173(x11291,x11291)),f12(f12(f34(x11291,x11291),f56(x11292,x11291)),f57(x11292,x11291))),x11292))
% 1.12/1.32 [1130]P8(x11301,x11302)+P28(f12(f12(f55(f173(x11301,x11301)),f12(f12(f34(x11301,x11301),f149(x11302,x11301)),f148(x11302,x11301))),x11302))
% 1.12/1.32 [1131]P8(x11311,x11312)+P28(f12(f12(f55(f173(x11311,x11311)),f12(f12(f34(x11311,x11311),f148(x11312,x11311)),f149(x11312,x11311))),x11312))
% 1.12/1.32 [1198]P10(x11981,x11982)+~P28(f12(f12(f55(f173(x11981,x11981)),f12(f12(f34(x11981,x11981),f92(x11982,x11981)),f92(x11982,x11981))),x11982))
% 1.12/1.32 [1122]P28(f12(f12(f55(f172(f173(a169,a169),a2)),f11(x11221,x11222)),a5))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x11221),a5))
% 1.12/1.32 [1123]P28(f12(f12(f55(f172(f173(a169,a169),a2)),f10(x11231,x11232)),a5))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x11231),a5))
% 1.12/1.32 [1391]~P14(x13911,x13912)+P20(x13911,f12(f12(f4(x13911,f172(f173(x13911,x13911),a2),f172(x13911,a2)),f12(f6(f172(x13911,f172(f172(f173(x13911,x13911),a2),a2)),f172(f172(f173(x13911,x13911),a2),f172(x13911,a2)),x13911,f4(x13911,f172(f173(x13911,x13911),a2),a2)),f12(f6(f172(x13911,f173(x13911,x13911)),f172(x13911,f172(f172(f173(x13911,x13911),a2),a2)),x13911,f6(f173(x13911,x13911),f172(f172(f173(x13911,x13911),a2),a2),x13911,f55(f173(x13911,x13911)))),f34(x13911,x13911)))),x13912))
% 1.12/1.32 [1396]P14(x13961,x13962)+~P20(x13961,f12(f12(f4(x13961,f172(f173(x13961,x13961),a2),f172(x13961,a2)),f12(f6(f172(x13961,f172(f172(f173(x13961,x13961),a2),a2)),f172(f172(f173(x13961,x13961),a2),f172(x13961,a2)),x13961,f4(x13961,f172(f173(x13961,x13961),a2),a2)),f12(f6(f172(x13961,f173(x13961,x13961)),f172(x13961,f172(f172(f173(x13961,x13961),a2),a2)),x13961,f6(f173(x13961,x13961),f172(f172(f173(x13961,x13961),a2),a2),x13961,f55(f173(x13961,x13961)))),f34(x13961,x13961)))),x13962))
% 1.12/1.32 [802]~E(x8023,x8022)+P9(f172(x8021,a2),x8022,x8023)
% 1.12/1.32 [807]~E(x8072,x8073)+P9(f172(x8071,a2),x8072,x8073)
% 1.12/1.32 [828]~P14(x8281,x8283)+P14(x8281,f53(x8281,x8282,x8283))
% 1.12/1.32 [874]P15(x8741,x8742,x8743)+~E(f83(x8743,x8742,x8741),f84(x8743,x8742,x8741))
% 1.12/1.32 [875]P15(x8751,x8752,x8753)+~E(f119(x8753,x8752,x8751),f120(x8753,x8752,x8751))
% 1.12/1.32 [876]P18(x8761,x8762,x8763)+~E(f124(x8763,x8762,x8761),f125(x8763,x8762,x8761))
% 1.12/1.32 [814]~P20(x8141,x8142)+P28(f12(f49(x8141,x8142),x8143))
% 1.12/1.32 [839]~E(x8392,x8393)+P28(f12(f12(f55(x8391),x8392),f12(a13,x8393)))
% 1.12/1.32 [851]~P14(x8511,x8513)+P28(f12(f12(f55(x8511),x8512),f50(x8511,x8513)))
% 1.12/1.32 [888]E(x8881,x8882)+~P28(f12(f12(f55(x8883),x8881),f12(a13,x8882)))
% 1.12/1.32 [933]P9(f172(x9331,a2),f49(x9331,x9332),f49(x9331,x9333))+~P9(f172(x9331,f172(x9331,a2)),x9333,x9332)
% 1.12/1.32 [934]P9(f172(x9341,a2),f50(x9341,x9342),f50(x9341,x9343))+~P9(f172(f173(x9341,x9341),a2),x9343,x9342)
% 1.12/1.32 [950]~P9(f172(f173(x9501,x9501),a2),x9502,x9503)+P9(f172(f173(x9501,x9501),a2),f43(x9501,x9502),f43(x9501,x9503))
% 1.12/1.32 [970]~P9(f172(f173(x9701,x9701),a2),x9702,f43(x9701,x9703))+P9(f172(f173(x9701,x9701),a2),f43(x9701,x9702),f43(x9701,x9703))
% 1.12/1.32 [993]~P28(f12(f49(x9931,x9932),f85(x9933,x9932,x9931)))+P28(f12(f49(x9931,x9932),x9933))
% 1.12/1.32 [994]~P28(f12(f49(x9941,x9942),f97(x9943,x9942,x9941)))+P28(f12(f49(x9941,x9942),x9943))
% 1.12/1.32 [1064]E(f12(f12(f34(x10641,x10641),f127(x10642,x10643,x10641)),f127(x10642,x10643,x10641)),x10643)+~P28(f12(f12(f55(f173(x10641,x10641)),x10643),f25(x10641,x10642)))
% 1.12/1.32 [1072]~P28(f12(f12(f55(x10721),f86(x10723,x10722,x10721)),f50(x10721,x10723)))+P28(f12(f12(f55(x10721),x10722),f50(x10721,x10723)))
% 1.12/1.32 [1073]~P28(f12(f12(f55(x10731),f87(x10733,x10732,x10731)),f50(x10731,x10733)))+P28(f12(f12(f55(x10731),x10732),f50(x10731,x10733)))
% 1.12/1.32 [1074]~P28(f12(f12(f55(x10741),f91(x10743,x10742,x10741)),f50(x10741,x10743)))+P28(f12(f12(f55(x10741),x10742),f50(x10741,x10743)))
% 1.12/1.32 [1135]~P19(x11351,x11352)+~P28(f12(f12(f55(f173(x11351,x11351)),f12(f12(f34(x11351,x11351),x11353),x11353)),f47(x11351,x11352)))
% 1.12/1.32 [809]~P26(x8092)+E(f12(f27(f172(x8091,x8092)),x8093),f27(x8092))
% 1.12/1.32 [815]~P4(x8151)+E(f12(f12(f28(x8151),x8152),x8153),f12(f12(f28(x8151),x8153),x8152))
% 1.12/1.32 [817]~P21(x8171)+E(f12(f12(f28(x8171),x8172),x8173),f12(f12(f28(x8171),x8173),x8172))
% 1.12/1.32 [818]~P4(x8181)+E(f12(f12(f31(x8181),x8182),x8183),f12(f12(f31(x8181),x8183),x8182))
% 1.12/1.32 [820]~P25(x8201)+E(f12(f12(f31(x8201),x8202),x8203),f12(f12(f31(x8201),x8203),x8202))
% 1.12/1.32 [838]~P28(f12(x8383,x8382))+P28(f12(f12(f55(x8381),x8382),x8383))
% 1.12/1.32 [842]~P4(x8421)+P9(x8421,x8422,f12(f12(f31(x8421),x8423),x8422))
% 1.12/1.32 [843]~P25(x8431)+P9(x8431,x8432,f12(f12(f31(x8431),x8433),x8432))
% 1.12/1.32 [844]~P4(x8441)+P9(x8441,x8442,f12(f12(f31(x8441),x8442),x8443))
% 1.12/1.32 [845]~P25(x8451)+P9(x8451,x8452,f12(f12(f31(x8451),x8452),x8453))
% 1.12/1.32 [846]~P4(x8461)+P9(x8461,f12(f12(f28(x8461),x8462),x8463),x8463)
% 1.12/1.32 [847]~P21(x8471)+P9(x8471,f12(f12(f28(x8471),x8472),x8473),x8473)
% 1.12/1.32 [848]~P4(x8481)+P9(x8481,f12(f12(f28(x8481),x8482),x8483),x8482)
% 1.12/1.32 [849]~P21(x8491)+P9(x8491,f12(f12(f28(x8491),x8492),x8493),x8492)
% 1.12/1.32 [856]P28(f12(x8561,x8562))+~P28(f12(f12(f55(x8563),x8562),x8561))
% 1.12/1.32 [859]E(f26(x8591,x8592,x8593),f27(f172(x8591,a2)))+~E(x8593,f27(f172(f173(x8591,x8592),a2)))
% 1.12/1.32 [860]E(f44(x8601,x8602,x8603),f27(f172(x8602,a2)))+~E(x8603,f27(f172(f173(x8601,x8602),a2)))
% 1.12/1.32 [861]~E(f26(x8612,x8613,x8611),f27(f172(x8612,a2)))+E(x8611,f27(f172(f173(x8612,x8613),a2)))
% 1.12/1.32 [862]~E(f44(x8622,x8623,x8621),f27(f172(x8623,a2)))+E(x8621,f27(f172(f173(x8622,x8623),a2)))
% 1.12/1.32 [865]~E(x8651,f27(f172(x8652,a2)))+~P28(f12(f12(f55(x8652),x8653),x8651))
% 1.12/1.32 [872]E(f45(x8721,x8722,x8723),x8723)+~P28(f12(f12(f55(x8721),x8722),x8723))
% 1.12/1.32 [935]E(x9351,x9352)+~E(f45(x9353,x9351,f27(f172(x9353,a2))),f45(x9353,x9352,f27(f172(x9353,a2))))
% 1.12/1.32 [957]E(x9571,f27(f172(x9572,a2)))+E(f22(x9572,x9573,x9571,f27(f172(x9573,a2))),f27(f172(f172(x9572,x9573),a2)))
% 1.12/1.32 [998]P18(x9981,x9982,x9983)+P28(f12(f12(f55(x9981),f125(x9983,x9982,x9981)),x9982))
% 1.12/1.32 [999]P18(x9991,x9992,x9993)+P28(f12(f12(f55(x9991),f124(x9993,x9992,x9991)),x9992))
% 1.12/1.32 [1000]P28(f12(f49(x10001,x10002),x10003))+P28(f12(f12(x10002,f85(x10003,x10002,x10001)),x10003))
% 1.12/1.32 [1001]P28(f12(f49(x10011,x10012),x10013))+P28(f12(f12(x10012,f97(x10013,x10012,x10011)),x10013))
% 1.12/1.32 [1068]~P16(x10681,x10683,x10682)+P9(f172(f173(x10681,x10681),a2),x10682,f35(x10681,x10681,x10683,f15(f172(x10681,a2),x10681,x10683)))
% 1.12/1.32 [1078]E(x10781,x10782)+~E(f12(f12(f4(x10783,f172(x10783,a2),a2),f55(x10783)),x10781),f12(f12(f4(x10783,f172(x10783,a2),a2),f55(x10783)),x10782))
% 1.12/1.32 [1079]~P28(f12(f12(f55(f173(x10791,x10791)),x10793),f25(x10791,x10792)))+P28(f12(f12(f55(x10791),f127(x10792,x10793,x10791)),x10792))
% 1.12/1.32 [1119]~P9(f172(x11191,a2),x11192,x11193)+P9(f172(x11191,a2),f12(f12(f4(x11191,f172(x11191,a2),a2),f55(x11191)),x11192),f12(f12(f4(x11191,f172(x11191,a2),a2),f55(x11191)),x11193))
% 1.12/1.32 [1180]P9(f172(x11801,a2),x11802,x11803)+~P9(f172(x11801,a2),f12(f12(f4(x11801,f172(x11801,a2),a2),f55(x11801)),x11802),f12(f12(f4(x11801,f172(x11801,a2),a2),f55(x11801)),x11803))
% 1.12/1.32 [1181]~P9(f172(f173(x11811,x11811),a2),x11812,f35(x11811,x11811,x11813,f15(f172(x11811,a2),x11811,x11813)))+P9(f172(f173(x11811,x11811),a2),f47(x11811,x11812),f35(x11811,x11811,x11813,f15(f172(x11811,a2),x11811,x11813)))
% 1.12/1.32 [840]~P4(x8401)+E(f12(f12(f28(x8401),x8402),f12(f12(f31(x8401),x8402),x8403)),x8402)
% 1.12/1.32 [841]~P4(x8411)+E(f12(f12(f31(x8411),x8412),f12(f12(f28(x8411),x8412),x8413)),x8412)
% 1.12/1.32 [866]~P4(x8661)+E(f12(f12(f28(x8661),x8662),f12(f12(f28(x8661),x8662),x8663)),f12(f12(f28(x8661),x8662),x8663))
% 1.12/1.32 [868]~P21(x8681)+E(f12(f12(f28(x8681),x8682),f12(f12(f28(x8681),x8682),x8683)),f12(f12(f28(x8681),x8682),x8683))
% 1.12/1.32 [869]~P4(x8691)+E(f12(f12(f31(x8691),x8692),f12(f12(f31(x8691),x8692),x8693)),f12(f12(f31(x8691),x8692),x8693))
% 1.12/1.32 [871]~P25(x8711)+E(f12(f12(f31(x8711),x8712),f12(f12(f31(x8711),x8712),x8713)),f12(f12(f31(x8711),x8712),x8713))
% 1.12/1.32 [897]~P9(f172(x8971,a2),x8973,x8972)+E(f12(f12(f28(f172(x8971,a2)),x8972),x8973),x8973)
% 1.12/1.32 [898]~P9(f172(x8981,a2),x8982,x8983)+E(f12(f12(f28(f172(x8981,a2)),x8982),x8983),x8982)
% 1.12/1.32 [899]~P9(f172(x8991,a2),x8993,x8992)+E(f12(f12(f31(f172(x8991,a2)),x8992),x8993),x8992)
% 1.12/1.32 [901]~P9(f172(x9011,a2),x9012,x9013)+E(f12(f12(f31(f172(x9011,a2)),x9012),x9013),x9013)
% 1.12/1.32 [903]E(f61(x9031,x9032,x9033),f71(x9031,x9032,x9033))+E(f12(f12(f28(f172(x9033,a2)),x9032),x9031),f27(f172(x9033,a2)))
% 1.12/1.32 [909]E(x9091,f27(f172(x9092,a2)))+~E(f12(f12(f31(f172(x9092,a2)),x9093),x9091),f27(f172(x9092,a2)))
% 1.12/1.32 [910]E(x9101,f27(f172(x9102,a2)))+~E(f12(f12(f31(f172(x9102,a2)),x9101),x9103),f27(f172(x9102,a2)))
% 1.12/1.32 [911]P9(f172(x9111,a2),x9112,x9113)+~E(f12(f12(f31(f172(x9111,a2)),x9112),x9113),x9113)
% 1.12/1.32 [1024]E(f12(f12(f28(f172(x10241,a2)),x10242),x10243),f27(f172(x10241,a2)))+P28(f12(f12(f55(x10241),f61(x10243,x10242,x10241)),x10242))
% 1.12/1.32 [1025]E(f12(f12(f28(f172(x10251,a2)),x10252),x10253),f27(f172(x10251,a2)))+P28(f12(f12(f55(x10251),f71(x10253,x10252,x10251)),x10253))
% 1.12/1.32 [1035]E(x10351,x10352)+~P28(f12(f12(f55(x10353),x10351),f45(x10353,x10352,f27(f172(x10353,a2)))))
% 1.12/1.32 [1049]P28(f12(f12(f55(f173(x10491,x10491)),x10492),f43(x10491,x10493)))+~P28(f12(f12(f55(f173(x10491,x10491)),x10492),x10493))
% 1.12/1.32 [1050]P28(f12(f12(f55(f173(x10501,x10501)),x10502),f47(x10501,x10503)))+~P28(f12(f12(f55(f173(x10501,x10501)),x10502),x10503))
% 1.12/1.32 [1254]P15(x12541,x12542,x12543)+P28(f12(f12(f55(f173(x12541,x12542)),f12(f12(f34(x12541,x12542),f107(x12543,x12542,x12541)),f84(x12543,x12542,x12541))),x12543))
% 1.12/1.32 [1255]P15(x12551,x12552,x12553)+P28(f12(f12(f55(f173(x12551,x12552)),f12(f12(f34(x12551,x12552),f107(x12553,x12552,x12551)),f83(x12553,x12552,x12551))),x12553))
% 1.12/1.32 [1256]P15(x12561,x12562,x12563)+P28(f12(f12(f55(f173(x12561,x12562)),f12(f12(f34(x12561,x12562),f122(x12563,x12562,x12561)),f120(x12563,x12562,x12561))),x12563))
% 1.12/1.32 [1257]P15(x12571,x12572,x12573)+P28(f12(f12(f55(f173(x12571,x12572)),f12(f12(f34(x12571,x12572),f122(x12573,x12572,x12571)),f119(x12573,x12572,x12571))),x12573))
% 1.12/1.32 [1301]P18(x13011,x13012,x13013)+~P28(f12(f12(f55(f173(x13011,x13011)),f12(f12(f34(x13011,x13011),f125(x13013,x13012,x13011)),f124(x13013,x13012,x13011))),x13013))
% 1.12/1.32 [1302]P18(x13021,x13022,x13023)+~P28(f12(f12(f55(f173(x13021,x13021)),f12(f12(f34(x13021,x13021),f124(x13023,x13022,x13021)),f125(x13023,x13022,x13021))),x13023))
% 1.12/1.32 [1028]~P14(x10281,x10283)+P14(x10281,f12(f12(f28(f172(f173(x10281,x10281),a2)),x10282),x10283))
% 1.12/1.32 [1029]~P14(x10291,x10292)+P14(x10291,f12(f12(f28(f172(f173(x10291,x10291),a2)),x10292),x10293))
% 1.12/1.32 [1070]~P10(x10701,x10703)+P28(f12(f12(f55(f173(x10701,x10701)),f12(f12(f34(x10701,x10701),x10702),x10702)),x10703))
% 1.12/1.32 [1124]~P17(x11241,x11242)+~P28(f12(f12(f55(f173(x11241,x11241)),f12(f12(f34(x11241,x11241),x11243),x11243)),x11242))
% 1.12/1.32 [1126]~P14(x11261,x11262)+~P28(f12(f12(f55(f173(x11261,x11261)),f12(f12(f34(x11261,x11261),x11263),x11263)),x11262))
% 1.12/1.32 [1215]P28(f12(f12(f55(x12151),x12152),f50(x12151,x12153)))+P28(f12(f12(f55(f173(x12151,x12151)),f12(f12(f34(x12151,x12151),f86(x12153,x12152,x12151)),x12152)),x12153))
% 1.12/1.32 [1216]P28(f12(f12(f55(x12161),x12162),f50(x12161,x12163)))+P28(f12(f12(f55(f173(x12161,x12161)),f12(f12(f34(x12161,x12161),f87(x12163,x12162,x12161)),x12162)),x12163))
% 1.12/1.32 [1217]P28(f12(f12(f55(x12171),x12172),f50(x12171,x12173)))+P28(f12(f12(f55(f173(x12171,x12171)),f12(f12(f34(x12171,x12171),f91(x12173,x12172,x12171)),x12172)),x12173))
% 1.12/1.32 [1406]~P28(f12(f12(f55(x14061),x14063),f50(x14061,x14062)))+P28(f12(f49(x14061,f12(f12(f4(x14061,f172(f173(x14061,x14061),a2),f172(x14061,a2)),f12(f6(f172(x14061,f172(f172(f173(x14061,x14061),a2),a2)),f172(f172(f173(x14061,x14061),a2),f172(x14061,a2)),x14061,f4(x14061,f172(f173(x14061,x14061),a2),a2)),f12(f6(f172(x14061,f173(x14061,x14061)),f172(x14061,f172(f172(f173(x14061,x14061),a2),a2)),x14061,f6(f173(x14061,x14061),f172(f172(f173(x14061,x14061),a2),a2),x14061,f55(f173(x14061,x14061)))),f34(x14061,x14061)))),x14062)),x14063))
% 1.12/1.32 [1407]P28(f12(f12(f55(x14071),x14072),f50(x14071,x14073)))+~P28(f12(f49(x14071,f12(f12(f4(x14071,f172(f173(x14071,x14071),a2),f172(x14071,a2)),f12(f6(f172(x14071,f172(f172(f173(x14071,x14071),a2),a2)),f172(f172(f173(x14071,x14071),a2),f172(x14071,a2)),x14071,f4(x14071,f172(f173(x14071,x14071),a2),a2)),f12(f6(f172(x14071,f173(x14071,x14071)),f172(x14071,f172(f172(f173(x14071,x14071),a2),a2)),x14071,f6(f173(x14071,x14071),f172(f172(f173(x14071,x14071),a2),a2),x14071,f55(f173(x14071,x14071)))),f34(x14071,x14071)))),x14073)),x14072))
% 1.12/1.32 [912]~P9(f172(x9121,a2),x9122,x9124)+P9(f172(x9121,a2),x9122,f45(x9121,x9123,x9124))
% 1.12/1.32 [946]~P9(f172(x9461,a2),f45(x9461,x9464,x9462),x9463)+P9(f172(x9461,a2),x9462,x9463)
% 1.12/1.32 [960]~P9(f172(x9601,a2),x9603,x9604)+P9(f172(x9601,a2),f45(x9601,x9602,x9603),f45(x9601,x9602,x9604))
% 1.12/1.32 [990]~P14(x9902,x9903)+P14(x9901,f46(x9902,x9901,x9903,x9904))
% 1.12/1.32 [891]~E(x8912,x8914)+P28(f12(f45(x8911,x8912,x8913),x8914))
% 1.12/1.32 [908]~P28(f12(x9083,x9084))+P28(f12(f45(x9081,x9082,x9083),x9084))
% 1.12/1.32 [932]~E(x9322,x9323)+P28(f12(f12(f55(x9321),x9322),f45(x9321,x9323,x9324)))
% 1.12/1.32 [985]P9(f172(x9851,a2),f26(x9851,x9852,x9853),f26(x9851,x9852,x9854))+~P9(f172(f173(x9851,x9852),a2),x9853,x9854)
% 1.12/1.32 [1071]E(f23(x10711,x10712,x10713,x10714),x10713)+~P28(f12(f12(f55(f172(x10711,x10712)),x10713),f16(x10711,x10712,x10714)))
% 1.12/1.32 [1077]~E(x10772,x10773)+P28(f12(f12(f55(f173(x10771,x10771)),f12(f12(f34(x10771,x10771),x10772),x10773)),f43(x10771,x10774)))
% 1.12/1.32 [1111]~E(x11111,x11112)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11113),x11111)),f11(x11114,x11112)))
% 1.12/1.32 [1112]~E(x11121,x11122)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11121),x11123)),f10(x11124,x11122)))
% 1.12/1.32 [1118]P14(f173(x11182,x11184),f41(x11182,x11184,x11181,x11183))+P28(f12(x11181,f152(x11182,x11183,x11184,x11181)))
% 1.12/1.32 [1132]E(x11321,x11322)+~P28(f12(f12(f55(f173(x11323,x11323)),f12(f12(f34(x11323,x11323),x11321),x11322)),f25(x11323,x11324)))
% 1.12/1.32 [1164]P14(f173(x11641,x11642),f41(x11641,x11642,x11643,x11644))+~P14(x11642,f12(x11644,f152(x11641,x11644,x11642,x11643)))
% 1.12/1.32 [1204]~P28(f12(f12(f55(f173(x12041,x12041)),f12(f12(f34(x12041,x12041),x12042),x12043)),f47(x12041,x12044)))+P28(f12(f12(f55(f173(x12041,x12041)),f12(f12(f34(x12041,x12041),x12042),x12043)),f43(x12041,x12044)))
% 1.12/1.32 [1295]P11(x12951,x12952,x12953,x12954)+~E(f12(f12(x12954,f93(x12954,x12953,x12952,x12951)),f95(x12954,x12953,x12952,x12951)),f12(f12(x12954,f96(x12954,x12953,x12952,x12951)),f95(x12954,x12953,x12952,x12951)))
% 1.12/1.32 [1310]~P28(f12(f12(f55(f173(x13101,x13101)),f12(f12(f34(x13101,x13101),x13102),x13104)),f47(x13101,x13103)))+P28(f12(f12(f55(f173(x13101,x13101)),f12(f12(f34(x13101,x13101),x13102),f140(x13103,x13104,x13102,x13101))),f43(x13101,x13103)))
% 1.12/1.32 [1338]~P28(f12(f12(f55(f173(x13381,x13381)),f12(f12(f34(x13381,x13381),x13384),x13383)),f47(x13381,x13382)))+P28(f12(f12(f55(f173(x13381,x13381)),f12(f12(f34(x13381,x13381),f139(x13382,x13383,x13384,x13381)),x13383)),f43(x13381,x13382)))
% 1.12/1.32 [923]~P28(f12(f12(x9232,x9233),x9234))+P28(f12(f12(f48(x9231,x9232),x9233),x9234))
% 1.12/1.32 [952]~P9(f172(x9521,a2),f45(x9521,x9522,x9524),x9523)+P28(f12(f12(f55(x9521),x9522),x9523))
% 1.12/1.32 [984]P28(f12(f12(f55(x9841),x9842),f45(x9841,x9843,x9844)))+~P28(f12(f12(f55(x9841),x9842),x9844))
% 1.12/1.32 [996]~P13(x9963,x9964,x9961,x9962)+P28(f12(f12(x9961,f126(x9962,x9961)),x9962))
% 1.12/1.32 [1069]E(f12(x10691,f74(x10691,x10692,x10693,x10694)),f27(f172(x10693,a2)))+~E(f20(x10694,x10693,x10692,x10691),f27(f172(f172(x10694,x10693),a2)))
% 1.12/1.32 [1139]~P28(f12(f12(f55(f173(x11391,x11391)),f12(f12(f34(x11391,x11391),x11392),x11394)),f25(x11391,x11393)))+P28(f12(f12(f55(x11391),x11392),x11393))
% 1.12/1.32 [1197]~E(f20(x11971,x11974,x11973,x11972),f27(f172(f172(x11971,x11974),a2)))+P28(f12(f12(f55(x11971),f74(x11972,x11973,x11974,x11971)),x11973))
% 1.12/1.32 [1199]P28(f12(x11991,x11992))+~P28(f12(x11991,f12(f12(f34(x11993,x11994),f165(x11994,x11993,x11991)),f166(x11994,x11993,x11991))))
% 1.12/1.32 [924]~P4(x9241)+E(f12(f12(f28(x9241),x9242),f12(f12(f28(x9241),x9243),x9244)),f12(f12(f28(x9241),x9243),f12(f12(f28(x9241),x9242),x9244)))
% 1.12/1.32 [926]~P21(x9261)+E(f12(f12(f28(x9261),x9262),f12(f12(f28(x9261),x9263),x9264)),f12(f12(f28(x9261),x9263),f12(f12(f28(x9261),x9262),x9264)))
% 1.12/1.32 [927]~P4(x9271)+E(f12(f12(f31(x9271),x9272),f12(f12(f31(x9271),x9273),x9274)),f12(f12(f31(x9271),x9273),f12(f12(f31(x9271),x9272),x9274)))
% 1.12/1.32 [929]~P25(x9291)+E(f12(f12(f31(x9291),x9292),f12(f12(f31(x9291),x9293),x9294)),f12(f12(f31(x9291),x9293),f12(f12(f31(x9291),x9292),x9294)))
% 1.12/1.32 [987]E(f12(f12(f28(f172(x9871,a2)),x9872),f45(x9871,x9873,x9874)),f12(f12(f28(f172(x9871,a2)),x9872),x9874))+P28(f12(f12(f55(x9871),x9873),x9872))
% 1.12/1.32 [988]~P5(x9881)+E(f12(f12(f31(x9881),f12(f12(f28(x9881),x9882),x9883)),f12(f12(f28(x9881),x9882),x9884)),f12(f12(f28(x9881),x9882),f12(f12(f31(x9881),x9883),x9884)))
% 1.12/1.32 [989]~P5(x9891)+E(f12(f12(f28(x9891),f12(f12(f31(x9891),x9892),x9893)),f12(f12(f31(x9891),x9892),x9894)),f12(f12(f31(x9891),x9892),f12(f12(f28(x9891),x9893),x9894)))
% 1.12/1.32 [1006]E(f12(f12(f28(f172(x10061,a2)),f45(x10061,x10062,x10063)),x10064),f12(f12(f28(f172(x10061,a2)),x10063),x10064))+P28(f12(f12(f55(x10061),x10062),x10064))
% 1.12/1.32 [1047]P19(x10471,x10472)+~P19(x10471,f45(f173(x10471,x10471),f12(f12(f34(x10471,x10471),x10473),x10474),x10472))
% 1.12/1.32 [1048]P14(x10481,x10482)+~P14(x10481,f45(f173(x10481,x10481),f12(f12(f34(x10481,x10481),x10483),x10484),x10482))
% 1.12/1.32 [1075]~P4(x10751)+P9(x10751,f12(f12(f31(x10751),x10752),f12(f12(f28(x10751),x10753),x10754)),f12(f12(f28(x10751),f12(f12(f31(x10751),x10752),x10753)),f12(f12(f31(x10751),x10752),x10754)))
% 1.12/1.32 [1076]~P4(x10761)+P9(x10761,f12(f12(f31(x10761),f12(f12(f28(x10761),x10762),x10763)),f12(f12(f28(x10761),x10762),x10764)),f12(f12(f28(x10761),x10762),f12(f12(f31(x10761),x10763),x10764)))
% 1.12/1.32 [1195]~P28(f12(f12(f55(f173(x11951,x11951)),f12(f12(f34(x11951,x11951),x11953),x11952)),f43(x11951,x11954)))+~P19(x11951,f45(f173(x11951,x11951),f12(f12(f34(x11951,x11951),x11952),x11953),x11954))
% 1.12/1.32 [1196]~P28(f12(f12(f55(f173(x11961,x11961)),f12(f12(f34(x11961,x11961),x11963),x11962)),f43(x11961,x11964)))+~P14(x11961,f45(f173(x11961,x11961),f12(f12(f34(x11961,x11961),x11962),x11963),x11964))
% 1.12/1.32 [1298]~P28(f12(f12(f55(x12981),x12983),f26(x12981,x12982,x12984)))+P28(f12(f12(f55(f173(x12981,x12982)),f12(f12(f34(x12981,x12982),x12983),f108(x12984,x12982,x12983,x12981))),x12984))
% 1.12/1.32 [1299]~P28(f12(f12(f55(x12991),x12993),f26(x12991,x12992,x12994)))+P28(f12(f12(f55(f173(x12991,x12992)),f12(f12(f34(x12991,x12992),x12993),f123(x12994,x12992,x12993,x12991))),x12994))
% 1.12/1.32 [1308]~P28(f12(f12(f55(f173(x13081,x13081)),f12(f12(f34(x13081,x13081),x13082),x13084)),f47(x13081,x13083)))+P28(f12(f12(f55(f173(x13081,x13081)),f12(f12(f34(x13081,x13081),x13082),f139(x13083,x13084,x13082,x13081))),x13083))
% 1.12/1.32 [963]~P4(x9631)+E(f12(f12(f28(x9631),f12(f12(f28(x9631),x9632),x9633)),x9634),f12(f12(f28(x9631),x9632),f12(f12(f28(x9631),x9633),x9634)))
% 1.12/1.32 [965]~P21(x9651)+E(f12(f12(f28(x9651),f12(f12(f28(x9651),x9652),x9653)),x9654),f12(f12(f28(x9651),x9652),f12(f12(f28(x9651),x9653),x9654)))
% 1.12/1.32 [966]~P4(x9661)+E(f12(f12(f31(x9661),f12(f12(f31(x9661),x9662),x9663)),x9664),f12(f12(f31(x9661),x9662),f12(f12(f31(x9661),x9663),x9664)))
% 1.12/1.32 [968]~P25(x9681)+E(f12(f12(f31(x9681),f12(f12(f31(x9681),x9682),x9683)),x9684),f12(f12(f31(x9681),x9682),f12(f12(f31(x9681),x9683),x9684)))
% 1.12/1.32 [1015]~P5(x10151)+E(f12(f12(f31(x10151),f12(f12(f28(x10151),x10152),x10153)),f12(f12(f28(x10151),x10154),x10153)),f12(f12(f28(x10151),f12(f12(f31(x10151),x10152),x10154)),x10153))
% 1.12/1.32 [1016]~P5(x10161)+E(f12(f12(f28(x10161),f12(f12(f31(x10161),x10162),x10163)),f12(f12(f31(x10161),x10164),x10163)),f12(f12(f31(x10161),f12(f12(f28(x10161),x10162),x10164)),x10163))
% 1.12/1.32 [1018]~P28(f12(x10183,x10184))+P28(f12(f12(f12(f31(f172(x10181,a2)),x10182),x10183),x10184))
% 1.12/1.32 [1020]~P28(f12(x10202,x10204))+P28(f12(f12(f12(f31(f172(x10201,a2)),x10202),x10203),x10204))
% 1.12/1.32 [1031]E(f45(x10311,x10312,f12(f12(f28(f172(x10311,a2)),x10313),x10314)),f12(f12(f28(f172(x10311,a2)),x10313),f45(x10311,x10312,x10314)))+~P28(f12(f12(f55(x10311),x10312),x10313))
% 1.12/1.32 [1042]~P28(f12(f12(f55(x10421),x10422),x10424))+P28(f12(f12(f55(x10421),x10422),f12(f12(f31(f172(x10421,a2)),x10423),x10424)))
% 1.12/1.32 [1045]~P28(f12(f12(f55(x10451),x10452),x10453))+P28(f12(f12(f55(x10451),x10452),f12(f12(f31(f172(x10451,a2)),x10453),x10454)))
% 1.12/1.32 [1052]E(f45(x10521,x10522,f12(f12(f28(f172(x10521,a2)),x10523),x10524)),f12(f12(f28(f172(x10521,a2)),f45(x10521,x10522,x10523)),x10524))+~P28(f12(f12(f55(x10521),x10522),x10524))
% 1.12/1.32 [1062]P28(f12(x10621,x10622))+~P28(f12(f12(f12(f28(f172(x10623,a2)),x10624),x10621),x10622))
% 1.12/1.32 [1063]P28(f12(x10631,x10632))+~P28(f12(f12(f12(f28(f172(x10633,a2)),x10631),x10634),x10632))
% 1.12/1.32 [1084]P28(f12(f12(f55(x10841),x10842),x10843))+~P28(f12(f12(f55(x10841),x10842),f12(f12(f28(f172(x10841,a2)),x10844),x10843)))
% 1.12/1.32 [1087]P28(f12(f12(f55(x10871),x10872),x10873))+~P28(f12(f12(f55(x10871),x10872),f12(f12(f28(f172(x10871,a2)),x10873),x10874)))
% 1.12/1.32 [1327]~P28(f12(f12(f55(x13272),x13274),f44(x13271,x13272,x13273)))+P28(f12(f12(f55(f173(x13271,x13272)),f12(f12(f34(x13271,x13272),f130(x13273,x13271,x13274,x13272)),x13274)),x13273))
% 1.12/1.32 [1328]~P28(f12(f12(f55(x13282),x13284),f44(x13281,x13282,x13283)))+P28(f12(f12(f55(f173(x13281,x13282)),f12(f12(f34(x13281,x13282),f135(x13283,x13281,x13284,x13282)),x13284)),x13283))
% 1.12/1.32 [1331]~P28(f12(f12(f55(x13311),x13314),f12(f12(f28(f172(x13311,a2)),x13312),x13313)))+P28(f12(f12(f12(f28(f172(x13311,a2)),f12(f12(f4(x13311,f172(x13311,a2),a2),f55(x13311)),x13312)),f12(f12(f4(x13311,f172(x13311,a2),a2),f55(x13311)),x13313)),x13314))
% 1.12/1.32 [1332]~P28(f12(f12(f55(x13321),x13324),f12(f12(f31(f172(x13321,a2)),x13322),x13323)))+P28(f12(f12(f12(f31(f172(x13321,a2)),f12(f12(f4(x13321,f172(x13321,a2),a2),f55(x13321)),x13322)),f12(f12(f4(x13321,f172(x13321,a2),a2),f55(x13321)),x13323)),x13324))
% 1.12/1.32 [1336]~P28(f12(f12(f55(f173(x13361,x13361)),f12(f12(f34(x13361,x13361),x13364),x13363)),f47(x13361,x13362)))+P28(f12(f12(f55(f173(x13361,x13361)),f12(f12(f34(x13361,x13361),f140(x13362,x13363,x13364,x13361)),x13363)),x13362))
% 1.12/1.32 [1357]P28(f12(f12(f55(x13571),x13572),f12(f12(f28(f172(x13571,a2)),x13573),x13574)))+~P28(f12(f12(f12(f28(f172(x13571,a2)),f12(f12(f4(x13571,f172(x13571,a2),a2),f55(x13571)),x13573)),f12(f12(f4(x13571,f172(x13571,a2),a2),f55(x13571)),x13574)),x13572))
% 1.12/1.32 [1358]P28(f12(f12(f55(x13581),x13582),f12(f12(f31(f172(x13581,a2)),x13583),x13584)))+~P28(f12(f12(f12(f31(f172(x13581,a2)),f12(f12(f4(x13581,f172(x13581,a2),a2),f55(x13581)),x13583)),f12(f12(f4(x13581,f172(x13581,a2),a2),f55(x13581)),x13584)),x13582))
% 1.12/1.32 [1392]P12(x13921,x13922,f12(f12(f4(x13921,f172(f173(x13921,x13922),a2),f172(x13922,a2)),f12(f6(f172(x13922,f172(f172(f173(x13921,x13922),a2),a2)),f172(f172(f173(x13921,x13922),a2),f172(x13922,a2)),x13921,f4(x13922,f172(f173(x13921,x13922),a2),a2)),f12(f6(f172(x13922,f173(x13921,x13922)),f172(x13922,f172(f172(f173(x13921,x13922),a2),a2)),x13921,f6(f173(x13921,x13922),f172(f172(f173(x13921,x13922),a2),a2),x13922,f55(f173(x13921,x13922)))),f34(x13921,x13922)))),x13923),x13924)+~P28(f12(f12(f55(x13921),x13924),f26(x13921,x13922,x13923)))
% 1.12/1.32 [1393]P13(x13931,x13932,f12(f12(f4(x13931,f172(f173(x13931,x13932),a2),f172(x13932,a2)),f12(f6(f172(x13932,f172(f172(f173(x13931,x13932),a2),a2)),f172(f172(f173(x13931,x13932),a2),f172(x13932,a2)),x13931,f4(x13932,f172(f173(x13931,x13932),a2),a2)),f12(f6(f172(x13932,f173(x13931,x13932)),f172(x13932,f172(f172(f173(x13931,x13932),a2),a2)),x13931,f6(f173(x13931,x13932),f172(f172(f173(x13931,x13932),a2),a2),x13932,f55(f173(x13931,x13932)))),f34(x13931,x13932)))),x13933),x13934)+~P28(f12(f12(f55(x13932),x13934),f44(x13931,x13932,x13933)))
% 1.12/1.32 [1395]E(x13951,x13952)+~E(f12(f12(f4(x13953,f172(f173(x13953,x13954),a2),f172(x13954,a2)),f12(f6(f172(x13954,f172(f172(f173(x13953,x13954),a2),a2)),f172(f172(f173(x13953,x13954),a2),f172(x13954,a2)),x13953,f4(x13954,f172(f173(x13953,x13954),a2),a2)),f12(f6(f172(x13954,f173(x13953,x13954)),f172(x13954,f172(f172(f173(x13953,x13954),a2),a2)),x13953,f6(f173(x13953,x13954),f172(f172(f173(x13953,x13954),a2),a2),x13954,f55(f173(x13953,x13954)))),f34(x13953,x13954)))),x13951),f12(f12(f4(x13953,f172(f173(x13953,x13954),a2),f172(x13954,a2)),f12(f6(f172(x13954,f172(f172(f173(x13953,x13954),a2),a2)),f172(f172(f173(x13953,x13954),a2),f172(x13954,a2)),x13953,f4(x13954,f172(f173(x13953,x13954),a2),a2)),f12(f6(f172(x13954,f173(x13953,x13954)),f172(x13954,f172(f172(f173(x13953,x13954),a2),a2)),x13953,f6(f173(x13953,x13954),f172(f172(f173(x13953,x13954),a2),a2),x13954,f55(f173(x13953,x13954)))),f34(x13953,x13954)))),x13952))
% 1.12/1.32 [1397]~P13(x13973,x13971,f12(f12(f4(x13973,f172(f173(x13973,x13971),a2),f172(x13971,a2)),f12(f6(f172(x13971,f172(f172(f173(x13973,x13971),a2),a2)),f172(f172(f173(x13973,x13971),a2),f172(x13971,a2)),x13973,f4(x13971,f172(f173(x13973,x13971),a2),a2)),f12(f6(f172(x13971,f173(x13973,x13971)),f172(x13971,f172(f172(f173(x13973,x13971),a2),a2)),x13973,f6(f173(x13973,x13971),f172(f172(f173(x13973,x13971),a2),a2),x13971,f55(f173(x13973,x13971)))),f34(x13973,x13971)))),x13974),x13972)+P28(f12(f12(f55(x13971),x13972),f44(x13973,x13971,x13974)))
% 1.12/1.32 [1398]~P12(x13981,x13983,f12(f12(f4(x13981,f172(f173(x13981,x13983),a2),f172(x13983,a2)),f12(f6(f172(x13983,f172(f172(f173(x13981,x13983),a2),a2)),f172(f172(f173(x13981,x13983),a2),f172(x13983,a2)),x13981,f4(x13983,f172(f173(x13981,x13983),a2),a2)),f12(f6(f172(x13983,f173(x13981,x13983)),f172(x13983,f172(f172(f173(x13981,x13983),a2),a2)),x13981,f6(f173(x13981,x13983),f172(f172(f173(x13981,x13983),a2),a2),x13983,f55(f173(x13981,x13983)))),f34(x13981,x13983)))),x13984),x13982)+P28(f12(f12(f55(x13981),x13982),f26(x13981,x13983,x13984)))
% 1.12/1.32 [1399]~P9(f172(f173(x13991,x13992),a2),x13993,x13994)+P9(f172(x13991,f172(x13992,a2)),f12(f12(f4(x13991,f172(f173(x13991,x13992),a2),f172(x13992,a2)),f12(f6(f172(x13992,f172(f172(f173(x13991,x13992),a2),a2)),f172(f172(f173(x13991,x13992),a2),f172(x13992,a2)),x13991,f4(x13992,f172(f173(x13991,x13992),a2),a2)),f12(f6(f172(x13992,f173(x13991,x13992)),f172(x13992,f172(f172(f173(x13991,x13992),a2),a2)),x13991,f6(f173(x13991,x13992),f172(f172(f173(x13991,x13992),a2),a2),x13992,f55(f173(x13991,x13992)))),f34(x13991,x13992)))),x13993),f12(f12(f4(x13991,f172(f173(x13991,x13992),a2),f172(x13992,a2)),f12(f6(f172(x13992,f172(f172(f173(x13991,x13992),a2),a2)),f172(f172(f173(x13991,x13992),a2),f172(x13992,a2)),x13991,f4(x13992,f172(f173(x13991,x13992),a2),a2)),f12(f6(f172(x13992,f173(x13991,x13992)),f172(x13992,f172(f172(f173(x13991,x13992),a2),a2)),x13991,f6(f173(x13991,x13992),f172(f172(f173(x13991,x13992),a2),a2),x13992,f55(f173(x13991,x13992)))),f34(x13991,x13992)))),x13994))
% 1.12/1.32 [1405]P9(f172(f173(x14051,x14052),a2),x14053,x14054)+~P9(f172(x14051,f172(x14052,a2)),f12(f12(f4(x14051,f172(f173(x14051,x14052),a2),f172(x14052,a2)),f12(f6(f172(x14052,f172(f172(f173(x14051,x14052),a2),a2)),f172(f172(f173(x14051,x14052),a2),f172(x14052,a2)),x14051,f4(x14052,f172(f173(x14051,x14052),a2),a2)),f12(f6(f172(x14052,f173(x14051,x14052)),f172(x14052,f172(f172(f173(x14051,x14052),a2),a2)),x14051,f6(f173(x14051,x14052),f172(f172(f173(x14051,x14052),a2),a2),x14052,f55(f173(x14051,x14052)))),f34(x14051,x14052)))),x14053),f12(f12(f4(x14051,f172(f173(x14051,x14052),a2),f172(x14052,a2)),f12(f6(f172(x14052,f172(f172(f173(x14051,x14052),a2),a2)),f172(f172(f173(x14051,x14052),a2),f172(x14052,a2)),x14051,f4(x14052,f172(f173(x14051,x14052),a2),a2)),f12(f6(f172(x14052,f173(x14051,x14052)),f172(x14052,f172(f172(f173(x14051,x14052),a2),a2)),x14051,f6(f173(x14051,x14052),f172(f172(f173(x14051,x14052),a2),a2),x14052,f55(f173(x14051,x14052)))),f34(x14051,x14052)))),x14054))
% 1.12/1.32 [1098]~P9(f172(x10981,a2),x10984,x10982)+E(f12(f12(f31(f172(x10981,a2)),f12(f12(f28(f172(x10981,a2)),x10982),x10983)),x10984),f12(f12(f28(f172(x10981,a2)),x10982),f12(f12(f31(f172(x10981,a2)),x10983),x10984)))
% 1.12/1.32 [1143]P9(f172(x11431,a2),x11432,x11433)+~E(f12(f12(f31(f172(x11431,a2)),f12(f12(f28(f172(x11431,a2)),x11433),x11434)),x11432),f12(f12(f28(f172(x11431,a2)),x11433),f12(f12(f31(f172(x11431,a2)),x11434),x11432)))
% 1.12/1.32 [1258]~P28(f12(f12(f55(f173(x12581,x12581)),x12582),f43(x12581,x12584)))+P28(f12(f12(f55(f173(x12581,x12581)),x12582),f43(x12581,f12(f12(f31(f172(f173(x12581,x12581),a2)),x12583),x12584))))
% 1.12/1.32 [1259]~P28(f12(f12(f55(f173(x12591,x12591)),x12592),f43(x12591,x12593)))+P28(f12(f12(f55(f173(x12591,x12591)),x12592),f43(x12591,f12(f12(f31(f172(f173(x12591,x12591),a2)),x12593),x12594))))
% 1.12/1.32 [1408]~P28(f12(f12(f55(f173(x14081,x14081)),f12(f12(f34(x14081,x14081),x14083),x14084)),f47(x14081,x14082)))+P28(f12(f12(f48(x14081,f12(f12(f4(x14081,f172(f173(x14081,x14081),a2),f172(x14081,a2)),f12(f6(f172(x14081,f172(f172(f173(x14081,x14081),a2),a2)),f172(f172(f173(x14081,x14081),a2),f172(x14081,a2)),x14081,f4(x14081,f172(f173(x14081,x14081),a2),a2)),f12(f6(f172(x14081,f173(x14081,x14081)),f172(x14081,f172(f172(f173(x14081,x14081),a2),a2)),x14081,f6(f173(x14081,x14081),f172(f172(f173(x14081,x14081),a2),a2),x14081,f55(f173(x14081,x14081)))),f34(x14081,x14081)))),x14082)),x14083),x14084))
% 1.12/1.32 [1411]P28(f12(f12(f55(f173(x14111,x14111)),f12(f12(f34(x14111,x14111),x14112),x14113)),f47(x14111,x14114)))+~P28(f12(f12(f48(x14111,f12(f12(f4(x14111,f172(f173(x14111,x14111),a2),f172(x14111,a2)),f12(f6(f172(x14111,f172(f172(f173(x14111,x14111),a2),a2)),f172(f172(f173(x14111,x14111),a2),f172(x14111,a2)),x14111,f4(x14111,f172(f173(x14111,x14111),a2),a2)),f12(f6(f172(x14111,f173(x14111,x14111)),f172(x14111,f172(f172(f173(x14111,x14111),a2),a2)),x14111,f6(f173(x14111,x14111),f172(f172(f173(x14111,x14111),a2),a2),x14111,f55(f173(x14111,x14111)))),f34(x14111,x14111)))),x14114)),x14112),x14113))
% 1.12/1.32 [1091]~E(f12(x10913,x10914),x10915)+E(f18(x10911,x10912,x10913,x10914,x10915),x10913)
% 1.12/1.32 [1144]~E(f18(x11444,x11445,x11441,x11442,x11443),x11441)+E(f12(x11441,x11442),x11443)
% 1.12/1.32 [947]P12(x9471,x9472,x9473,x9474)+~P28(f12(f12(x9473,x9474),x9475))
% 1.12/1.32 [949]P13(x9491,x9492,x9493,x9494)+~P28(f12(f12(x9493,x9495),x9494))
% 1.12/1.32 [1094]~P9(f172(x10941,a2),x10945,x10943)+P9(f172(f172(x10941,x10942),a2),f20(x10941,x10942,x10943,x10944),f20(x10941,x10942,x10945,x10944))
% 1.12/1.32 [1324]E(f12(f12(f34(x13241,x13242),f167(x13243,x13244,x13245,x13242,x13241)),f168(x13243,x13244,x13245,x13242,x13241)),x13245)+~P28(f12(f12(f55(f173(x13241,x13242)),x13245),f35(x13241,x13242,x13244,x13243)))
% 1.12/1.32 [1362]~P9(f172(x13622,a2),f12(x13624,f155(x13625,x13624,x13622,x13623,x13621)),f12(x13625,f155(x13625,x13624,x13622,x13623,x13621)))+P9(f172(f172(x13621,x13622),a2),f20(x13621,x13622,x13623,x13624),f20(x13621,x13622,x13623,x13625))
% 1.12/1.32 [1014]E(f12(f23(x10141,x10142,x10143,x10144),x10145),f29(x10142))+P28(f12(f12(f55(x10141),x10145),x10144))
% 1.12/1.32 [1022]E(f12(f23(x10221,x10222,x10223,x10224),x10225),f12(x10223,x10225))+~P28(f12(f12(f55(x10221),x10225),x10224))
% 1.12/1.32 [1340]P9(f172(f172(x13401,x13404),a2),f20(x13401,x13404,x13405,x13403),f20(x13401,x13404,x13405,x13402))+P28(f12(f12(f55(x13401),f155(x13402,x13403,x13404,x13405,x13401)),x13405))
% 1.12/1.32 [1342]P28(f12(f12(f55(f172(x13421,x13424)),x13423),f20(x13421,x13424,x13425,x13422)))+P28(f12(f12(f55(x13421),f100(x13422,x13423,x13424,x13425,x13421)),x13425))
% 1.12/1.32 [1343]P28(f12(f12(f55(f172(x13431,x13434)),x13433),f20(x13431,x13434,x13435,x13432)))+P28(f12(f12(f55(x13431),f101(x13432,x13433,x13434,x13435,x13431)),x13435))
% 1.12/1.32 [1348]~P28(f12(f12(f55(f173(x13481,x13485)),x13484),f35(x13481,x13485,x13483,x13482)))+P28(f12(f12(f55(x13481),f167(x13482,x13483,x13484,x13485,x13481)),x13483))
% 1.12/1.32 [1349]P28(f12(f12(f55(f172(x13491,x13494)),f23(x13491,x13494,x13493,x13495)),f20(x13491,x13494,x13495,x13492)))+P28(f12(f12(f55(x13491),f104(x13492,x13493,x13494,x13495,x13491)),x13495))
% 1.12/1.32 [1364]~P28(f12(f12(f55(f173(x13645,x13641)),x13644),f35(x13645,x13641,x13643,x13642)))+P28(f12(f12(f55(x13641),f168(x13642,x13643,x13644,x13641,x13645)),f12(x13642,f167(x13642,x13643,x13644,x13641,x13645))))
% 1.12/1.32 [1380]P28(f12(f12(f55(f172(x13801,x13802)),x13803),f20(x13801,x13802,x13804,x13805)))+~P28(f12(f12(f55(x13802),f12(x13803,f100(x13805,x13803,x13802,x13804,x13801))),f12(x13805,f100(x13805,x13803,x13802,x13804,x13801))))
% 1.12/1.32 [1381]P28(f12(f12(f55(f172(x13811,x13812)),x13813),f20(x13811,x13812,x13814,x13815)))+~P28(f12(f12(f55(x13812),f12(x13813,f101(x13815,x13813,x13812,x13814,x13811))),f12(x13815,f101(x13815,x13813,x13812,x13814,x13811))))
% 1.12/1.32 [1382]P28(f12(f12(f55(f172(x13821,x13822)),f23(x13821,x13822,x13823,x13824)),f20(x13821,x13822,x13824,x13825)))+~P28(f12(f12(f55(x13822),f12(x13823,f104(x13825,x13823,x13822,x13824,x13821))),f12(x13825,f104(x13825,x13823,x13822,x13824,x13821))))
% 1.12/1.32 [1033]~P28(f12(x10331,f160(x10333,x10332,x10331)))+P28(f12(x10331,f12(f12(f34(x10332,x10333),x10334),x10335)))
% 1.12/1.32 [1345]P28(f12(f12(f55(x13451),f102(x13452,x13453,x13454,x13455,x13451)),x13455))+P28(f12(f12(f55(f172(x13451,x13454)),x13453),f20(x13451,x13454,x13455,f15(f172(x13454,a2),x13451,x13452))))
% 1.12/1.32 [1352]P28(f12(f12(f55(x13521),f105(x13522,x13523,x13524,x13525,x13521)),x13525))+P28(f12(f12(f55(f172(x13521,x13524)),f23(x13521,x13524,x13523,x13525)),f20(x13521,x13524,x13525,f15(f172(x13524,a2),x13521,x13522))))
% 1.12/1.32 [1371]~P28(f12(f12(f55(x13712),f12(x13713,f102(x13715,x13713,x13712,x13714,x13711))),x13715))+P28(f12(f12(f55(f172(x13711,x13712)),x13713),f20(x13711,x13712,x13714,f15(f172(x13712,a2),x13711,x13715))))
% 1.12/1.32 [1372]~P28(f12(f12(f55(x13722),f12(x13723,f105(x13725,x13723,x13722,x13724,x13721))),x13725))+P28(f12(f12(f55(f172(x13721,x13722)),f23(x13721,x13722,x13723,x13724)),f20(x13721,x13722,x13724,f15(f172(x13722,a2),x13721,x13725))))
% 1.12/1.32 [1400]P14(x14002,x14003)+E(f14(x14001,f39(x14002,x14001,x14003,f12(f12(f4(f172(x14002,x14001),f172(x14002,x14002),f172(x14002,x14001)),f12(f6(f172(x14002,f172(x14002,x14001)),f172(f172(x14002,x14002),f172(x14002,x14001)),f172(x14002,x14001),f17(x14002,x14002,x14001)),f12(f6(f172(x14002,f172(x14002,x14001)),f172(x14002,f172(x14002,x14001)),f172(x14002,x14001),f6(f172(x14002,x14001),f172(x14002,x14001),x14002,x14004)),f12(f12(f4(f172(x14002,x14001),f172(f173(x14002,x14002),a2),f172(x14002,f172(x14002,x14001))),f38(x14002,x14001)),x14003)))),f3(x14002)),x14005)),f33(x14002,x14001,x14003,x14004,x14005))
% 1.12/1.32 [975]~P4(x9752)+E(f12(f12(f12(f28(f172(x9751,x9752)),x9753),x9754),x9755),f12(f12(f28(x9752),f12(x9753,x9755)),f12(x9754,x9755)))
% 1.12/1.32 [977]~P4(x9772)+E(f12(f12(f12(f31(f172(x9771,x9772)),x9773),x9774),x9775),f12(f12(f31(x9772),f12(x9773,x9775)),f12(x9774,x9775)))
% 1.12/1.32 [1142]~P28(f12(f12(f19(x11421,x11422,x11425),x11423),x11424))+P28(f12(f12(f55(f173(x11421,x11422)),f12(f12(f34(x11421,x11422),x11423),x11424)),x11425))
% 1.12/1.32 [1146]P28(f12(f12(f55(x11461),x11462),f44(x11463,x11461,x11464)))+~P28(f12(f12(f55(f173(x11463,x11461)),f12(f12(f34(x11463,x11461),x11465),x11462)),x11464))
% 1.12/1.32 [1148]P28(f12(f12(f55(x11481),x11482),f26(x11481,x11483,x11484)))+~P28(f12(f12(f55(f173(x11481,x11483)),f12(f12(f34(x11481,x11483),x11482),x11485)),x11484))
% 1.12/1.32 [1163]P28(f12(f12(f19(x11631,x11632,x11633),x11634),x11635))+~P28(f12(f12(f55(f173(x11631,x11632)),f12(f12(f34(x11631,x11632),x11634),x11635)),x11633))
% 1.12/1.32 [1322]~P14(x13222,x13224)+E(f12(f12(x13221,f12(f12(f12(f38(x13222,x13223),f40(x13222,x13223,x13224,x13221)),x13224),x13225)),x13225),f12(f40(x13222,x13223,x13224,x13221),x13225))
% 1.12/1.32 [1329]~P14(x13292,x13294)+E(f12(f12(x13291,f12(f12(f12(f38(x13292,x13293),f32(x13292,x13293,x13294,x13291)),x13294),x13295)),x13295),f33(x13292,x13293,x13294,x13291,x13295))
% 1.12/1.32 [1184]~E(x11846,x11844)+E(f12(f18(x11841,x11842,x11843,x11844,x11845),x11846),x11845)
% 1.12/1.32 [1189]E(x11891,x11892)+E(f12(f18(x11893,x11894,x11895,x11892,x11896),x11891),f12(x11895,x11891))
% 1.12/1.32 [1235]~P28(f12(f12(f55(f173(x12355,x12351)),f12(f12(f34(x12355,x12351),x12354),x12352)),f35(x12355,x12351,x12356,x12353)))+P28(f12(f12(f55(x12351),x12352),f12(x12353,x12354)))
% 1.12/1.32 [905]E(x9051,x9052)+~E(f12(f12(f34(x9053,x9054),x9055),x9051),f12(f12(f34(x9053,x9054),x9056),x9052))
% 1.12/1.32 [907]E(x9071,x9072)+~E(f12(f12(f34(x9073,x9074),x9071),x9075),f12(f12(f34(x9073,x9074),x9072),x9076))
% 1.12/1.32 [1227]~P28(f12(f12(f55(f173(x12271,x12274)),f12(f12(f34(x12271,x12274),x12272),x12275)),f35(x12271,x12274,x12273,x12276)))+P28(f12(f12(f55(x12271),x12272),x12273))
% 1.12/1.32 [1369]E(f12(f12(x13691,f80(x13692,x13693,x13691,x13694,x13695,x13696)),x13693),x13692)+~P28(f12(f39(x13696,x13695,x13694,x13691,x13693),x13692))
% 1.12/1.32 [1370]E(f12(f12(x13701,f118(x13702,x13703,x13701,x13704,x13705,x13706)),x13703),f12(f12(x13701,x13702),x13703))+~P28(f12(f39(x13706,x13705,x13704,x13701,x13703),f12(f12(x13701,x13702),x13703)))
% 1.12/1.32 [1401]~P28(f12(f39(x14011,x14012,x14013,x14014,f81(x14016,x14014,x14012,x14013,x14015,x14011)),f12(x14016,f81(x14016,x14014,x14012,x14013,x14015,x14011))))+P28(f12(f39(x14011,x14012,x14013,x14014,x14015),f12(f12(x14014,x14016),x14015)))
% 1.12/1.32 [1283]P28(f12(f12(f55(f173(x12831,x12831)),f12(f12(f34(x12831,x12831),x12832),x12833)),f46(x12834,x12831,x12835,x12836)))+~P28(f12(f12(f55(f173(x12834,x12834)),f12(f12(f34(x12834,x12834),f12(x12836,x12832)),f12(x12836,x12833))),x12835))
% 1.12/1.32 [1286]~P28(f12(f12(f55(f173(x12866,x12866)),f12(f12(f34(x12866,x12866),x12863),x12864)),f46(x12861,x12866,x12865,x12862)))+P28(f12(f12(f55(f173(x12861,x12861)),f12(f12(f34(x12861,x12861),f12(x12862,x12863)),f12(x12862,x12864))),x12865))
% 1.12/1.32 [1373]~E(f12(x13733,f141(x13736,x13735,x13734,x13733,x13732,x13731)),f12(x13736,f141(x13736,x13735,x13734,x13733,x13732,x13731)))+E(f12(f12(f12(f38(x13731,x13732),x13733),x13734),x13735),f12(f12(f12(f38(x13731,x13732),x13736),x13734),x13735))
% 1.12/1.32 [1109]E(f12(f12(f12(f12(f38(x11091,x11092),x11093),x11094),x11095),x11096),f29(x11092))+P28(f12(f12(f55(f173(x11091,x11091)),f12(f12(f34(x11091,x11091),x11096),x11095)),x11094))
% 1.12/1.32 [1158]E(f12(f12(f12(f12(f38(x11581,x11582),x11583),x11584),x11585),x11586),f12(x11583,x11586))+~P28(f12(f12(f55(f173(x11581,x11581)),f12(f12(f34(x11581,x11581),x11586),x11585)),x11584))
% 1.12/1.32 [1403]E(f12(f12(f12(f38(x14031,x14032),x14033),x14034),x14035),f12(f12(f12(f38(x14031,x14032),x14036),x14034),x14035))+P28(f12(f12(f55(f173(x14031,x14031)),f12(f12(f34(x14031,x14031),f141(x14033,x14035,x14034,x14036,x14032,x14031)),x14035)),x14034))
% 1.12/1.32 [1404]P28(f12(f39(x14041,x14042,x14043,x14044,x14045),f12(f12(x14044,x14046),x14045)))+P28(f12(f12(f55(f173(x14041,x14041)),f12(f12(f34(x14041,x14041),f81(x14046,x14044,x14042,x14043,x14045,x14041)),x14045)),x14043))
% 1.12/1.32 [1277]P28(f12(f12(x12771,x12772),x12773))+~P28(f12(f12(f12(f12(f28(f172(x12774,f172(x12775,a2))),x12776),x12771),x12772),x12773))
% 1.12/1.32 [1278]P28(f12(f12(x12781,x12782),x12783))+~P28(f12(f12(f12(f12(f28(f172(x12784,f172(x12785,a2))),x12781),x12786),x12782),x12783))
% 1.12/1.32 [1415]~P28(f12(f12(f55(f173(x14151,x14152)),f12(f12(f34(x14151,x14152),x14155),x14156)),f12(f12(f28(f172(f173(x14151,x14152),a2)),x14153),x14154)))+P28(f12(f12(f12(f12(f28(f172(x14151,f172(x14152,a2))),f12(f12(f4(x14151,f172(f173(x14151,x14152),a2),f172(x14152,a2)),f12(f6(f172(x14152,f172(f172(f173(x14151,x14152),a2),a2)),f172(f172(f173(x14151,x14152),a2),f172(x14152,a2)),x14151,f4(x14152,f172(f173(x14151,x14152),a2),a2)),f12(f6(f172(x14152,f173(x14151,x14152)),f172(x14152,f172(f172(f173(x14151,x14152),a2),a2)),x14151,f6(f173(x14151,x14152),f172(f172(f173(x14151,x14152),a2),a2),x14152,f55(f173(x14151,x14152)))),f34(x14151,x14152)))),x14153)),f12(f12(f4(x14151,f172(f173(x14151,x14152),a2),f172(x14152,a2)),f12(f6(f172(x14152,f172(f172(f173(x14151,x14152),a2),a2)),f172(f172(f173(x14151,x14152),a2),f172(x14152,a2)),x14151,f4(x14152,f172(f173(x14151,x14152),a2),a2)),f12(f6(f172(x14152,f173(x14151,x14152)),f172(x14152,f172(f172(f173(x14151,x14152),a2),a2)),x14151,f6(f173(x14151,x14152),f172(f172(f173(x14151,x14152),a2),a2),x14152,f55(f173(x14151,x14152)))),f34(x14151,x14152)))),x14154)),x14155),x14156))
% 1.12/1.32 [1418]P28(f12(f12(f55(f173(x14181,x14182)),f12(f12(f34(x14181,x14182),x14183),x14184)),f12(f12(f28(f172(f173(x14181,x14182),a2)),x14185),x14186)))+~P28(f12(f12(f12(f12(f28(f172(x14181,f172(x14182,a2))),f12(f12(f4(x14181,f172(f173(x14181,x14182),a2),f172(x14182,a2)),f12(f6(f172(x14182,f172(f172(f173(x14181,x14182),a2),a2)),f172(f172(f173(x14181,x14182),a2),f172(x14182,a2)),x14181,f4(x14182,f172(f173(x14181,x14182),a2),a2)),f12(f6(f172(x14182,f173(x14181,x14182)),f172(x14182,f172(f172(f173(x14181,x14182),a2),a2)),x14181,f6(f173(x14181,x14182),f172(f172(f173(x14181,x14182),a2),a2),x14182,f55(f173(x14181,x14182)))),f34(x14181,x14182)))),x14185)),f12(f12(f4(x14181,f172(f173(x14181,x14182),a2),f172(x14182,a2)),f12(f6(f172(x14182,f172(f172(f173(x14181,x14182),a2),a2)),f172(f172(f173(x14181,x14182),a2),f172(x14182,a2)),x14181,f4(x14182,f172(f173(x14181,x14182),a2),a2)),f12(f6(f172(x14182,f173(x14181,x14182)),f172(x14182,f172(f172(f173(x14181,x14182),a2),a2)),x14181,f6(f173(x14181,x14182),f172(f172(f173(x14181,x14182),a2),a2),x14182,f55(f173(x14181,x14182)))),f34(x14181,x14182)))),x14186)),x14183),x14184))
% 1.12/1.32 [1315]E(x13151,x13152)+E(f18(x13153,x13154,f18(x13153,x13154,x13155,x13151,x13156),x13152,x13157),f18(x13153,x13154,f18(x13153,x13154,x13155,x13152,x13157),x13151,x13156))
% 1.12/1.32 [1202]E(f12(f23(x12021,x12022,f12(f6(x12023,x12022,x12021,x12024),x12025),x12026),x12027),f12(x12024,f12(x12025,x12027)))+~P28(f12(f12(f55(x12021),x12027),x12026))
% 1.12/1.32 [1333]P28(f12(f12(f55(f173(f173(x13331,x13332),f173(x13331,x13332))),f12(f12(f34(f173(x13331,x13332),f173(x13331,x13332)),f12(f12(f34(x13331,x13332),x13333),x13334)),f12(f12(f34(x13331,x13332),x13335),x13336))),f51(x13331,x13332,x13337,x13338)))+~P28(f12(f12(f55(f173(x13331,x13331)),f12(f12(f34(x13331,x13331),x13333),x13335)),x13337))
% 1.12/1.32 [1168]P2(x11681)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x11681)),f79(x11681))),f12(x11681,f77(x11681))))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x11681)),f79(x11681))),f12(x11681,f75(x11681))))
% 1.12/1.32 [1245]P2(x12451)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x12451)),f79(x12451))),f12(x12451,f77(x12451))))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x12451)),f79(x12451))),f12(x12451,f75(x12451))))
% 1.12/1.32 [810]~P28(x8102)+~P28(x8101)+P28(f12(f12(a54,x8101),x8102))
% 1.12/1.32 [1212]P2(x12121)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x12121)),f79(x12121))),f12(f77(x12121),x12122)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x12121)),f79(x12121))),f12(f75(x12121),x12122)))
% 1.12/1.32 [1213]P2(x12131)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x12131)),f79(x12131))),f12(f75(x12131),x12132)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f78(x12131)),f79(x12131))),f12(f77(x12131),x12132)))
% 1.12/1.32 [1350]P3(x13501,x13502)+~E(f88(x13502,x13501),f89(x13502,x13501))+~P28(f12(f12(f55(f172(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2))),x13501),f20(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2),a7,f15(f172(f172(f173(a169,a169),a2),a2),f172(a170,f172(f173(a169,a169),a2)),a5))))
% 1.12/1.32 [1354]P3(x13541,x13542)+P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),f90(x13542,x13541)),a7))+~P28(f12(f12(f55(f172(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2))),x13541),f20(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2),a7,f15(f172(f172(f173(a169,a169),a2),a2),f172(a170,f172(f173(a169,a169),a2)),a5))))
% 1.12/1.32 [1356]P3(x13561,x13562)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f89(x13562,x13561)),f88(x13562,x13561))),f12(f90(x13562,x13561),x13562)))+~P28(f12(f12(f55(f172(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2))),x13561),f20(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2),a7,f15(f172(f172(f173(a169,a169),a2),a2),f172(a170,f172(f173(a169,a169),a2)),a5))))
% 1.12/1.32 [1360]P3(x13601,x13602)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),f89(x13602,x13601)),f88(x13602,x13601))),f12(x13601,f90(x13602,x13601))))+~P28(f12(f12(f55(f172(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2))),x13601),f20(f172(a170,f172(f173(a169,a169),a2)),f172(f173(a169,a169),a2),a7,f15(f172(f172(f173(a169,a169),a2),a2),f172(a170,f172(f173(a169,a169),a2)),a5))))
% 1.12/1.32 [793]~E(x7932,x7933)+~P22(x7931)+P9(x7931,x7932,x7933)
% 1.12/1.32 [795]~E(x7952,x7953)+~P27(x7951)+P9(x7951,x7952,x7953)
% 1.12/1.32 [822]P9(x8221,x8223,x8222)+~P24(x8221)+P9(x8221,x8222,x8223)
% 1.12/1.32 [890]E(x8901,x8902)+~P9(f172(x8903,a2),x8901,x8902)+~P9(f172(x8903,a2),x8902,x8901)
% 1.12/1.32 [879]P20(x8791,x8792)+~P20(x8791,x8793)+~P9(f172(x8791,f172(x8791,a2)),x8792,x8793)
% 1.12/1.32 [882]P19(x8821,x8822)+~P19(x8821,x8823)+~P9(f172(f173(x8821,x8821),a2),x8822,x8823)
% 1.12/1.32 [883]P8(x8831,x8832)+~P8(x8831,x8833)+~P9(f172(f173(x8831,x8831),a2),x8832,x8833)
% 1.12/1.32 [884]P14(x8841,x8842)+~P14(x8841,x8843)+~P9(f172(f173(x8841,x8841),a2),x8842,x8843)
% 1.12/1.32 [981]E(f43(x9811,x9812),f43(x9811,x9813))+~P9(f172(f173(x9811,x9811),a2),x9813,f43(x9811,x9812))+~P9(f172(f173(x9811,x9811),a2),x9812,x9813)
% 1.12/1.32 [1046]P14(x10461,x10462)+~P28(f12(f12(f55(x10461),x10463),f157(x10462,x10461)))+P28(f12(f12(f55(x10461),f161(x10462,x10461,x10463)),f157(x10462,x10461)))
% 1.12/1.32 [811]~P6(x8112)+E(x8111,f27(x8112))+~E(f12(f12(f31(x8112),x8113),x8111),f27(x8112))
% 1.12/1.32 [812]~P6(x8122)+E(x8121,f27(x8122))+~E(f12(f12(f31(x8122),x8121),x8123),f27(x8122))
% 1.12/1.32 [830]~P21(x8301)+P9(x8301,x8302,x8303)+~E(f12(f12(f28(x8301),x8302),x8303),x8302)
% 1.12/1.32 [831]~P25(x8311)+P9(x8311,x8312,x8313)+~E(f12(f12(f31(x8311),x8312),x8313),x8313)
% 1.12/1.32 [832]~P21(x8321)+~P9(x8321,x8323,x8322)+E(f12(f12(f28(x8321),x8322),x8323),x8323)
% 1.12/1.32 [834]~P21(x8341)+~P9(x8341,x8342,x8343)+E(f12(f12(f28(x8341),x8342),x8343),x8342)
% 1.12/1.32 [835]~P25(x8351)+~P9(x8351,x8353,x8352)+E(f12(f12(f31(x8351),x8352),x8353),x8352)
% 1.12/1.32 [837]~P25(x8371)+~P9(x8371,x8372,x8373)+E(f12(f12(f31(x8371),x8372),x8373),x8373)
% 1.12/1.32 [1154]P16(x11541,x11542,x11543)+~P9(f172(f173(x11541,x11541),a2),x11543,f35(x11541,x11541,x11542,f15(f172(x11541,a2),x11541,x11542)))+P28(f12(f12(f55(x11541),f162(x11543,x11542,x11541)),x11542))
% 1.12/1.32 [1155]P16(x11551,x11552,x11553)+~P9(f172(f173(x11551,x11551),a2),x11553,f35(x11551,x11551,x11552,f15(f172(x11551,a2),x11551,x11552)))+P28(f12(f12(f55(x11551),f164(x11552,x11553,x11551)),x11552))
% 1.12/1.32 [896]~E(x8963,f27(f172(x8961,a2)))+~E(x8962,f27(f172(x8961,a2)))+E(f12(f12(f31(f172(x8961,a2)),x8962),x8963),f27(f172(x8961,a2)))
% 1.12/1.32 [1313]P16(x13131,x13132,x13133)+~P9(f172(f173(x13131,x13131),a2),x13133,f35(x13131,x13131,x13132,f15(f172(x13131,a2),x13131,x13132)))+~P28(f12(f12(f55(f173(x13131,x13131)),f12(f12(f34(x13131,x13131),f162(x13133,x13132,x13131)),f162(x13133,x13132,x13131))),x13133))
% 1.12/1.32 [1314]P16(x13141,x13142,x13143)+~P9(f172(f173(x13141,x13141),a2),x13143,f35(x13141,x13141,x13142,f15(f172(x13141,a2),x13141,x13142)))+~P28(f12(f12(f55(f173(x13141,x13141)),f12(f12(f34(x13141,x13141),f164(x13142,x13143,x13141)),f164(x13142,x13143,x13141))),x13143))
% 1.12/1.32 [1149]E(x11491,x11492)+P28(f12(f12(f55(f172(f173(a169,a169),a2)),f8(x11493,x11491,x11492)),a5))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x11493),a5))
% 1.12/1.32 [1167]E(x11671,x11672)+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x11673),a5))+P28(f12(f12(f55(f172(f173(a169,a169),a2)),f12(f12(f12(a9,x11673),x11671),x11672)),a5))
% 1.12/1.32 [1219]P14(x12191,x12192)+~P28(f12(f12(f55(x12191),x12193),f157(x12192,x12191)))+P28(f12(f12(f55(f173(x12191,x12191)),f12(f12(f34(x12191,x12191),f161(x12192,x12191,x12193)),x12193)),x12192))
% 1.12/1.32 [1260]~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12603),x12602)),x12601))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12602),x12603)),x12601))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12601),a5))
% 1.12/1.32 [1160]~P3(x11601,x11603)+E(f12(x11601,x11602),f12(x11602,x11603))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x11602),a7))
% 1.12/1.32 [858]~P9(f172(x8584,a2),x8583,x8581)+P28(f12(x8581,x8582))+~P28(f12(x8583,x8582))
% 1.12/1.32 [930]~P9(f172(x9301,a2),x9302,x9304)+~P9(f172(x9301,a2),x9304,x9303)+P9(f172(x9301,a2),x9302,x9303)
% 1.12/1.32 [997]~P14(x9972,x9974)+~P14(x9971,x9973)+P14(f173(x9971,x9972),f51(x9971,x9972,x9973,x9974))
% 1.12/1.32 [944]~P28(f12(f49(x9441,x9442),x9444))+P28(f12(f49(x9441,x9442),x9443))+~P28(f12(f12(x9442,x9443),x9444))
% 1.12/1.32 [945]P15(x9451,x9452,x9453)+~P15(x9451,x9452,x9454)+~P9(f172(f173(x9451,x9452),a2),x9453,x9454)
% 1.12/1.32 [962]E(x9621,x9622)+P28(f12(x9623,x9622))+~P28(f12(f45(x9624,x9621,x9623),x9622))
% 1.12/1.32 [1081]~P9(f172(f173(x10811,x10811),a2),x10814,x10813)+~P28(f12(f12(f55(f173(x10811,x10811)),x10812),f47(x10811,x10814)))+P28(f12(f12(f55(f173(x10811,x10811)),x10812),f47(x10811,x10813)))
% 1.12/1.32 [1113]~E(x11131,x11132)+~E(x11131,x11133)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11132),x11131)),f10(x11134,x11133)))
% 1.12/1.32 [1114]~E(x11141,x11142)+~E(x11141,x11143)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11141),x11142)),f11(x11144,x11143)))
% 1.12/1.32 [1151]E(x11511,x11512)+~P28(f12(f12(f55(f173(x11513,x11513)),f12(f12(f34(x11513,x11513),x11511),x11512)),f43(x11513,x11514)))+P28(f12(f12(f55(x11513),x11511),f26(x11513,x11513,x11514)))
% 1.12/1.32 [1162]~P28(f12(f12(f55(f173(x11621,x11621)),f12(f12(f34(x11621,x11621),x11622),x11624)),f43(x11621,x11623)))+P28(f12(f12(f55(x11621),x11622),f50(x11621,x11623)))+~P28(f12(f12(f55(x11621),x11624),f50(x11621,x11623)))
% 1.12/1.32 [1206]E(x12061,x12062)+~P28(f12(f12(f55(f173(x12063,x12063)),f12(f12(f34(x12063,x12063),x12061),x12062)),f43(x12063,x12064)))+P28(f12(f12(f55(f173(x12063,x12063)),f12(f12(f34(x12063,x12063),x12061),x12062)),f47(x12063,x12064)))
% 1.12/1.32 [1236]~P23(x12362)+P9(f172(x12361,x12362),x12363,x12364)+~P9(x12362,f12(x12363,f153(x12364,x12363,x12361,x12362)),f12(x12364,f153(x12364,x12363,x12361,x12362)))
% 1.12/1.32 [1311]E(x13111,x13112)+P28(f12(f12(f55(f173(x13113,x13113)),f12(f12(f34(x13113,x13113),x13111),f134(x13114,x13112,x13111,x13113))),f43(x13113,x13114)))+~P28(f12(f12(f55(f173(x13113,x13113)),f12(f12(f34(x13113,x13113),x13111),x13112)),f43(x13113,x13114)))
% 1.12/1.32 [1339]E(x13391,x13392)+P28(f12(f12(f55(f173(x13393,x13393)),f12(f12(f34(x13393,x13393),f133(x13394,x13391,x13392,x13393)),x13391)),f43(x13393,x13394)))+~P28(f12(f12(f55(f173(x13393,x13393)),f12(f12(f34(x13393,x13393),x13392),x13391)),f43(x13393,x13394)))
% 1.12/1.32 [892]~P25(x8921)+~P9(x8921,x8922,x8924)+P9(x8921,x8922,f12(f12(f31(x8921),x8923),x8924))
% 1.12/1.32 [893]~P25(x8931)+~P9(x8931,x8932,x8933)+P9(x8931,x8932,f12(f12(f31(x8931),x8933),x8934))
% 1.12/1.32 [894]~P21(x8941)+~P9(x8941,x8943,x8944)+P9(x8941,f12(f12(f28(x8941),x8942),x8943),x8944)
% 1.12/1.32 [895]~P21(x8951)+~P9(x8951,x8952,x8954)+P9(x8951,f12(f12(f28(x8951),x8952),x8953),x8954)
% 1.12/1.32 [914]~P21(x9141)+P9(x9141,x9142,x9143)+~P9(x9141,x9142,f12(f12(f28(x9141),x9144),x9143))
% 1.12/1.32 [916]~P21(x9161)+P9(x9161,x9162,x9163)+~P9(x9161,x9162,f12(f12(f28(x9161),x9163),x9164))
% 1.12/1.32 [918]~P25(x9181)+P9(x9181,x9182,x9183)+~P9(x9181,f12(f12(f31(x9181),x9184),x9182),x9183)
% 1.12/1.32 [920]~P25(x9201)+P9(x9201,x9202,x9203)+~P9(x9201,f12(f12(f31(x9201),x9202),x9204),x9203)
% 1.12/1.32 [956]~P9(f172(x9561,a2),x9564,x9563)+~P28(f12(f12(f55(x9561),x9562),x9564))+P28(f12(f12(f55(x9561),x9562),x9563))
% 1.12/1.32 [979]~P9(f172(x9791,a2),x9792,f45(x9791,x9794,x9793))+P9(f172(x9791,a2),x9792,x9793)+P28(f12(f12(f55(x9791),x9794),x9792))
% 1.12/1.32 [980]~P9(f172(x9801,a2),x9803,x9804)+P9(f172(x9801,a2),f45(x9801,x9802,x9803),x9804)+~P28(f12(f12(f55(x9801),x9802),x9804))
% 1.12/1.32 [1012]E(x10121,x10122)+~P28(f12(f12(f55(x10123),x10121),f45(x10123,x10122,x10124)))+P28(f12(f12(f55(x10123),x10121),x10124))
% 1.12/1.32 [1027]~P14(x10271,x10272)+P28(f12(f12(f55(x10271),f158(x10272,x10271,x10273)),x10273))+~P28(f12(f12(f55(x10271),x10274),x10273))
% 1.12/1.32 [1097]~E(x10972,x10973)+P28(f12(f12(f55(f173(x10971,x10971)),f12(f12(f34(x10971,x10971),x10972),x10973)),f25(x10971,x10974)))+~P28(f12(f12(f55(x10971),x10972),x10974))
% 1.12/1.32 [1116]P28(f12(f12(f48(x11164,x11161),x11162),f137(x11163,x11162,x11161,x11164)))+P28(f12(f12(x11161,x11162),x11163))+~P28(f12(f12(f48(x11164,x11161),x11162),x11163))
% 1.12/1.32 [1117]P28(f12(f12(f48(x11174,x11171),x11172),f146(x11173,x11172,x11171,x11174)))+P28(f12(f12(x11171,x11172),x11173))+~P28(f12(f12(f48(x11174,x11171),x11172),x11173))
% 1.12/1.32 [1185]P28(f12(f12(x11851,x11852),x11853))+~P28(f12(f12(f48(x11854,x11851),x11852),x11853))+P28(f12(f12(x11851,f137(x11853,x11852,x11851,x11854)),x11853))
% 1.12/1.32 [1186]P28(f12(f12(x11861,x11862),x11863))+~P28(f12(f12(f48(x11864,x11861),x11862),x11863))+P28(f12(f12(x11861,f146(x11863,x11862,x11861,x11864)),x11863))
% 1.12/1.32 [1002]~P9(f172(x10021,a2),x10022,x10023)+~P9(f172(x10021,a2),x10022,x10024)+P9(f172(x10021,a2),x10022,f12(f12(f28(f172(x10021,a2)),x10023),x10024))
% 1.12/1.32 [1003]~P9(f172(x10031,a2),x10032,x10034)+~P9(f172(x10031,a2),x10033,x10034)+P9(f172(x10031,a2),f12(f12(f31(f172(x10031,a2)),x10032),x10033),x10034)
% 1.12/1.32 [1120]~P19(x11201,x11204)+P28(f12(f12(f55(f173(x11201,x11201)),f12(f12(f34(x11201,x11201),x11203),x11202)),f43(x11201,x11204)))+P19(x11201,f45(f173(x11201,x11201),f12(f12(f34(x11201,x11201),x11202),x11203),x11204))
% 1.12/1.32 [1121]~P14(x11211,x11214)+P28(f12(f12(f55(f173(x11211,x11211)),f12(f12(f34(x11211,x11211),x11213),x11212)),f43(x11211,x11214)))+P14(x11211,f45(f173(x11211,x11211),f12(f12(f34(x11211,x11211),x11212),x11213),x11214))
% 1.12/1.32 [1309]E(x13091,x13092)+~P28(f12(f12(f55(f173(x13093,x13093)),f12(f12(f34(x13093,x13093),x13091),x13092)),f43(x13093,x13094)))+P28(f12(f12(f55(f173(x13093,x13093)),f12(f12(f34(x13093,x13093),x13091),f133(x13094,x13092,x13091,x13093))),x13094))
% 1.12/1.32 [1023]~P28(f12(x10233,x10234))+~P28(f12(x10232,x10234))+P28(f12(f12(f12(f28(f172(x10231,a2)),x10232),x10233),x10234))
% 1.12/1.32 [1065]P28(f12(x10651,x10652))+P28(f12(x10653,x10652))+~P28(f12(f12(f12(f31(f172(x10654,a2)),x10653),x10651),x10652))
% 1.12/1.32 [1067]~P28(f12(f12(f55(x10671),x10672),x10674))+~P28(f12(f12(f55(x10671),x10672),x10673))+P28(f12(f12(f55(x10671),x10672),f12(f12(f28(f172(x10671,a2)),x10673),x10674)))
% 1.12/1.32 [1100]P28(f12(f12(f55(x11001),x11002),x11003))+P28(f12(f12(f55(x11001),x11002),x11004))+~P28(f12(f12(f55(x11001),x11002),f12(f12(f31(f172(x11001,a2)),x11004),x11003)))
% 1.12/1.32 [1102]~P16(x11021,x11024,x11023)+~P28(f12(f12(f55(x11021),x11022),x11024))+P28(f12(f12(f55(f173(x11021,x11021)),f12(f12(f34(x11021,x11021),x11022),x11022)),x11023))
% 1.12/1.32 [1153]P28(f12(f12(f55(x11531),x11532),f50(x11531,x11533)))+~P28(f12(f12(f55(x11531),x11534),f50(x11531,x11533)))+~P28(f12(f12(f55(f173(x11531,x11531)),f12(f12(f34(x11531,x11531),x11532),x11534)),x11533))
% 1.12/1.32 [1178]E(x11781,x11782)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11783),x11781)),f10(x11784,x11782)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11783),x11781)),x11784))
% 1.12/1.32 [1179]E(x11791,x11792)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11791),x11793)),f11(x11794,x11792)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11791),x11793)),x11794))
% 1.12/1.32 [1229]~P14(x12291,x12292)+~P28(f12(f12(f55(f173(x12291,x12291)),f12(f12(f34(x12291,x12291),x12294),x12293)),x12292))+~P28(f12(f12(f55(f173(x12291,x12291)),f12(f12(f34(x12291,x12291),x12293),x12294)),x12292))
% 1.12/1.32 [1317]~P28(f12(f12(f55(f173(x13171,x13171)),f12(f12(f34(x13171,x13171),x13172),x13173)),f47(x13171,x13174)))+P28(f12(f12(f55(f173(x13171,x13171)),f12(f12(f34(x13171,x13171),x13172),f143(x13174,x13173,x13172,x13171))),x13174))+P28(f12(f12(f55(f173(x13171,x13171)),f12(f12(f34(x13171,x13171),x13172),x13173)),x13174))
% 1.12/1.32 [1318]P28(f12(f12(f55(f173(x13181,x13181)),f12(f12(f34(x13181,x13181),x13182),f144(x13184,x13183,x13182,x13181))),f47(x13181,x13184)))+~P28(f12(f12(f55(f173(x13181,x13181)),f12(f12(f34(x13181,x13181),x13182),x13183)),f47(x13181,x13184)))+P28(f12(f12(f55(f173(x13181,x13181)),f12(f12(f34(x13181,x13181),x13182),x13183)),x13184))
% 1.12/1.32 [1337]E(x13371,x13372)+~P28(f12(f12(f55(f173(x13373,x13373)),f12(f12(f34(x13373,x13373),x13372),x13371)),f43(x13373,x13374)))+P28(f12(f12(f55(f173(x13373,x13373)),f12(f12(f34(x13373,x13373),f134(x13374,x13371,x13372,x13373)),x13371)),x13374))
% 1.12/1.32 [1346]~P28(f12(f12(f55(f173(x13461,x13461)),f12(f12(f34(x13461,x13461),x13462),x13463)),f47(x13461,x13464)))+P28(f12(f12(f55(f173(x13461,x13461)),f12(f12(f34(x13461,x13461),f144(x13464,x13463,x13462,x13461)),x13463)),x13464))+P28(f12(f12(f55(f173(x13461,x13461)),f12(f12(f34(x13461,x13461),x13462),x13463)),x13464))
% 1.12/1.32 [1347]P28(f12(f12(f55(f173(x13471,x13471)),f12(f12(f34(x13471,x13471),f143(x13474,x13473,x13472,x13471)),x13473)),f47(x13471,x13474)))+~P28(f12(f12(f55(f173(x13471,x13471)),f12(f12(f34(x13471,x13471),x13472),x13473)),f47(x13471,x13474)))+P28(f12(f12(f55(f173(x13471,x13471)),f12(f12(f34(x13471,x13471),x13472),x13473)),x13474))
% 1.12/1.32 [1355]~E(x13552,x13553)+P28(f12(f12(f55(f173(x13551,x13551)),f12(f12(f34(x13551,x13551),f145(x13552,x13553,x13554,x13551)),f145(x13552,x13553,x13554,x13551))),f47(x13551,x13554)))+~P28(f12(f12(f55(f173(x13551,x13551)),f12(f12(f34(x13551,x13551),x13553),x13552)),x13554))
% 1.12/1.32 [887]~P23(x8871)+P9(x8871,f12(x8872,x8873),f12(x8874,x8873))+~P9(f172(x8875,x8871),x8872,x8874)
% 1.12/1.32 [1110]~P9(f172(x11101,a2),x11105,x11104)+~P28(f12(f12(f55(f172(x11101,x11102)),x11103),f16(x11101,x11102,x11105)))+P28(f12(f12(f55(f172(x11101,x11102)),x11103),f16(x11101,x11102,x11104)))
% 1.12/1.32 [1279]P28(f12(f12(f55(f173(x12791,x12791)),f12(f12(f34(x12791,x12791),x12792),x12793)),f43(x12791,x12794)))+~P28(f12(f12(f55(f173(x12791,x12791)),f12(f12(f34(x12791,x12791),x12792),x12795)),f43(x12791,x12794)))+~P28(f12(f12(f55(f173(x12791,x12791)),f12(f12(f34(x12791,x12791),x12795),x12793)),f43(x12791,x12794)))
% 1.12/1.32 [1280]P28(f12(f12(f55(f173(x12801,x12801)),f12(f12(f34(x12801,x12801),x12802),x12803)),f47(x12801,x12804)))+~P28(f12(f12(f55(f173(x12801,x12801)),f12(f12(f34(x12801,x12801),x12802),x12805)),f47(x12801,x12804)))+~P28(f12(f12(f55(f173(x12801,x12801)),f12(f12(f34(x12801,x12801),x12805),x12803)),f43(x12801,x12804)))
% 1.12/1.32 [1281]~P28(f12(f12(f55(f173(x12811,x12811)),f12(f12(f34(x12811,x12811),x12812),x12815)),f43(x12811,x12814)))+P28(f12(f12(f55(f173(x12811,x12811)),f12(f12(f34(x12811,x12811),x12812),x12813)),f47(x12811,x12814)))+~P28(f12(f12(f55(f173(x12811,x12811)),f12(f12(f34(x12811,x12811),x12815),x12813)),f47(x12811,x12814)))
% 1.12/1.32 [1282]P28(f12(f12(f55(f173(x12821,x12821)),f12(f12(f34(x12821,x12821),x12822),x12823)),f47(x12821,x12824)))+~P28(f12(f12(f55(f173(x12821,x12821)),f12(f12(f34(x12821,x12821),x12822),x12825)),f47(x12821,x12824)))+~P28(f12(f12(f55(f173(x12821,x12821)),f12(f12(f34(x12821,x12821),x12825),x12823)),f47(x12821,x12824)))
% 1.12/1.32 [1330]~P14(x13301,x13303)+~P11(x13301,x13302,x13303,x13304)+P28(f12(f39(x13301,x13302,x13303,x13304,x13305),f154(x13305,x13304,x13303,x13302,x13301)))
% 1.12/1.32 [995]~E(f12(x9954,x9955),f27(f172(x9952,a2)))+E(f20(x9951,x9952,x9953,x9954),f27(f172(f172(x9951,x9952),a2)))+~P28(f12(f12(f55(x9951),x9955),x9953))
% 1.12/1.32 [1007]~P28(f12(f12(x10072,x10073),x10075))+~P28(f12(f12(f48(x10071,x10072),x10075),x10074))+P28(f12(f12(f48(x10071,x10072),x10073),x10074))
% 1.12/1.32 [1010]~P28(f12(f12(x10102,x10105),x10104))+~P28(f12(f12(f48(x10101,x10102),x10103),x10105))+P28(f12(f12(f48(x10101,x10102),x10103),x10104))
% 1.12/1.32 [1032]~P28(f12(f12(f48(x10321,x10322),x10323),x10325))+P28(f12(f12(f48(x10321,x10322),x10323),x10324))+~P28(f12(f12(f48(x10321,x10322),x10325),x10324))
% 1.12/1.32 [1059]E(f12(x10591,x10592),f29(x10593))+~P28(f12(f12(f55(f172(x10594,x10593)),x10591),f16(x10594,x10593,x10595)))+P28(f12(f12(f55(x10594),x10592),x10595))
% 1.12/1.32 [1092]~P28(f12(x10921,x10925))+P28(f12(x10921,f62(x10921,x10922,x10923,x10924)))+~P28(f12(f12(f55(x10924),x10925),x10923))
% 1.12/1.32 [1093]~P28(f12(x10931,x10935))+P28(f12(x10931,f62(x10931,x10932,x10933,x10934)))+~P28(f12(f12(f55(x10934),x10935),x10932))
% 1.12/1.32 [1137]P28(f12(x11371,x11372))+~P28(f12(x11371,f66(x11371,x11373,x11374,x11375)))+~P28(f12(f12(f55(x11375),x11372),x11374))
% 1.12/1.32 [1138]P28(f12(x11381,x11382))+~P28(f12(x11381,f66(x11381,x11383,x11384,x11385)))+~P28(f12(f12(f55(x11385),x11382),x11383))
% 1.12/1.32 [992]~E(x9923,x9924)+~E(x9922,x9925)+E(f45(x9921,x9922,f45(x9921,x9923,f27(f172(x9921,a2)))),f45(x9921,x9924,f45(x9921,x9925,f27(f172(x9921,a2)))))
% 1.12/1.32 [1036]E(x10361,x10362)+E(x10363,x10361)+~E(f45(x10364,x10361,f45(x10364,x10365,f27(f172(x10364,a2)))),f45(x10364,x10362,f45(x10364,x10363,f27(f172(x10364,a2)))))
% 1.12/1.32 [1037]E(x10371,x10372)+E(x10373,x10371)+~E(f45(x10374,x10373,f45(x10374,x10372,f27(f172(x10374,a2)))),f45(x10374,x10375,f45(x10374,x10371,f27(f172(x10374,a2)))))
% 1.12/1.32 [1038]E(x10381,x10382)+E(x10381,x10383)+~E(f45(x10384,x10383,f45(x10384,x10382,f27(f172(x10384,a2)))),f45(x10384,x10385,f45(x10384,x10381,f27(f172(x10384,a2)))))
% 1.12/1.32 [1039]E(x10391,x10392)+E(x10391,x10393)+~E(f45(x10394,x10391,f45(x10394,x10395,f27(f172(x10394,a2)))),f45(x10394,x10392,f45(x10394,x10393,f27(f172(x10394,a2)))))
% 1.12/1.32 [1053]~P9(f172(x10531,a2),x10532,x10534)+~P9(f172(x10531,a2),x10533,x10535)+P9(f172(x10531,a2),f12(f12(f28(f172(x10531,a2)),x10532),x10533),f12(f12(f28(f172(x10531,a2)),x10534),x10535))
% 1.12/1.32 [1054]~P9(f172(x10541,a2),x10542,x10544)+~P9(f172(x10541,a2),x10543,x10545)+P9(f172(x10541,a2),f12(f12(f31(f172(x10541,a2)),x10542),x10543),f12(f12(f31(f172(x10541,a2)),x10544),x10545))
% 1.12/1.32 [1303]~P28(f12(f12(f55(f172(x13031,x13032)),x13033),f16(x13031,x13032,x13034)))+E(f23(x13031,x13032,f12(f6(x13031,x13032,x13031,x13033),f23(x13031,x13031,f3(x13031),x13034)),x13034),x13033)+~P28(f12(f12(f55(f172(x13031,x13032)),x13033),f20(x13031,x13032,x13034,f15(f172(x13032,a2),x13031,x13035))))
% 1.12/1.32 [1319]P11(x13194,x13193,x13192,x13191)+E(f12(f93(x13191,x13192,x13193,x13194),x13195),f12(f96(x13191,x13192,x13193,x13194),x13195))+~P28(f12(f12(f55(f173(x13194,x13194)),f12(f12(f34(x13194,x13194),x13195),f95(x13191,x13192,x13193,x13194))),x13192))
% 1.12/1.32 [1088]~P16(x10881,x10883,x10885)+~P16(x10881,x10882,x10884)+P16(x10881,f12(f12(f28(f172(x10881,a2)),x10882),x10883),f12(f12(f28(f172(f173(x10881,x10881),a2)),x10884),x10885))
% 1.12/1.32 [1089]~P16(x10891,x10893,x10895)+~P16(x10891,x10892,x10894)+P16(x10891,f12(f12(f31(f172(x10891,a2)),x10892),x10893),f12(f12(f31(f172(f173(x10891,x10891),a2)),x10894),x10895))
% 1.12/1.32 [1140]~P16(x11401,x11403,x11404)+P28(f12(f12(f55(x11401),x11402),x11403))+~P28(f12(f12(f55(f173(x11401,x11401)),f12(f12(f34(x11401,x11401),x11405),x11402)),x11404))
% 1.12/1.32 [1141]~P16(x11411,x11413,x11414)+P28(f12(f12(f55(x11411),x11412),x11413))+~P28(f12(f12(f55(f173(x11411,x11411)),f12(f12(f34(x11411,x11411),x11412),x11415)),x11414))
% 1.12/1.32 [1208]P28(f12(x12081,x12082))+~P28(f12(f12(f55(x12083),x12082),x12085))+P28(f12(f12(f55(x12083),f66(x12081,x12084,x12085,x12083)),f12(f12(f31(f172(x12083,a2)),x12085),x12084)))
% 1.12/1.32 [1209]P28(f12(x12091,x12092))+~P28(f12(f12(f55(x12093),x12092),x12094))+P28(f12(f12(f55(x12093),f66(x12091,x12094,x12095,x12093)),f12(f12(f31(f172(x12093,a2)),x12095),x12094)))
% 1.12/1.32 [1210]~P28(f12(x12102,x12105))+~P28(f12(f12(f55(x12101),x12105),x12104))+P28(f12(f12(f55(x12101),f62(x12102,x12103,x12104,x12101)),f12(f12(f31(f172(x12101,a2)),x12104),x12103)))
% 1.12/1.32 [1211]~P28(f12(x12112,x12115))+~P28(f12(f12(f55(x12111),x12115),x12113))+P28(f12(f12(f55(x12111),f62(x12112,x12113,x12114,x12111)),f12(f12(f31(f172(x12111,a2)),x12114),x12113)))
% 1.12/1.32 [1221]~P9(a171,f12(x12214,x12212),f12(x12214,x12213))+P28(f12(f12(f55(f173(x12211,x12211)),f12(f12(f34(x12211,x12211),x12212),x12213)),f53(x12211,x12214,x12215)))+~P28(f12(f12(f55(f173(x12211,x12211)),f12(f12(f34(x12211,x12211),x12212),x12213)),x12215))
% 1.12/1.32 [1268]P28(f12(f12(f55(f173(x12681,x12681)),f12(f12(f34(x12681,x12681),x12682),x12683)),f47(x12681,x12684)))+~P28(f12(f12(f55(f173(x12681,x12681)),f12(f12(f34(x12681,x12681),x12682),x12685)),x12684))+~P28(f12(f12(f55(f173(x12681,x12681)),f12(f12(f34(x12681,x12681),x12685),x12683)),x12684))
% 1.12/1.32 [1269]P28(f12(f12(f55(f173(x12691,x12691)),f12(f12(f34(x12691,x12691),x12692),x12693)),f43(x12691,x12694)))+~P28(f12(f12(f55(f173(x12691,x12691)),f12(f12(f34(x12691,x12691),x12692),x12695)),f43(x12691,x12694)))+~P28(f12(f12(f55(f173(x12691,x12691)),f12(f12(f34(x12691,x12691),x12695),x12693)),x12694))
% 1.12/1.32 [1270]P28(f12(f12(f55(f173(x12701,x12701)),f12(f12(f34(x12701,x12701),x12702),x12703)),f43(x12701,x12704)))+~P28(f12(f12(f55(f173(x12701,x12701)),f12(f12(f34(x12701,x12701),x12705),x12703)),f43(x12701,x12704)))+~P28(f12(f12(f55(f173(x12701,x12701)),f12(f12(f34(x12701,x12701),x12702),x12705)),x12704))
% 1.12/1.32 [1271]~P28(f12(f12(f55(f173(x12711,x12711)),f12(f12(f34(x12711,x12711),x12712),x12715)),f43(x12711,x12714)))+P28(f12(f12(f55(f173(x12711,x12711)),f12(f12(f34(x12711,x12711),x12712),x12713)),f47(x12711,x12714)))+~P28(f12(f12(f55(f173(x12711,x12711)),f12(f12(f34(x12711,x12711),x12715),x12713)),x12714))
% 1.12/1.32 [1272]P28(f12(f12(f55(f173(x12721,x12721)),f12(f12(f34(x12721,x12721),x12722),x12723)),f47(x12721,x12724)))+~P28(f12(f12(f55(f173(x12721,x12721)),f12(f12(f34(x12721,x12721),x12722),x12725)),f47(x12721,x12724)))+~P28(f12(f12(f55(f173(x12721,x12721)),f12(f12(f34(x12721,x12721),x12725),x12723)),x12724))
% 1.12/1.32 [1273]~P28(f12(f12(f55(f173(x12731,x12731)),f12(f12(f34(x12731,x12731),x12735),x12733)),f43(x12731,x12734)))+P28(f12(f12(f55(f173(x12731,x12731)),f12(f12(f34(x12731,x12731),x12732),x12733)),f47(x12731,x12734)))+~P28(f12(f12(f55(f173(x12731,x12731)),f12(f12(f34(x12731,x12731),x12732),x12735)),x12734))
% 1.12/1.32 [1274]P28(f12(f12(f55(f173(x12741,x12741)),f12(f12(f34(x12741,x12741),x12742),x12743)),f47(x12741,x12744)))+~P28(f12(f12(f55(f173(x12741,x12741)),f12(f12(f34(x12741,x12741),x12745),x12743)),f47(x12741,x12744)))+~P28(f12(f12(f55(f173(x12741,x12741)),f12(f12(f34(x12741,x12741),x12742),x12745)),x12744))
% 1.12/1.32 [1312]~P28(f12(f12(f55(f172(x13121,x13122)),x13124),f16(x13121,x13122,x13125)))+E(f23(x13121,x13122,f12(f6(x13122,x13122,x13121,f23(x13122,x13122,f3(x13122),x13123)),x13124),x13125),x13124)+~P28(f12(f12(f55(f172(x13121,x13122)),x13124),f20(x13121,x13122,x13125,f15(f172(x13122,a2),x13121,x13123))))
% 1.12/1.32 [1341]~E(f69(x13415,x13414,x13413,x13412,x13411),f70(x13415,x13414,x13413,x13412,x13411))+P28(f12(f12(f55(f173(x13411,x13411)),f12(f12(f34(x13411,x13411),x13412),x13413)),f43(x13411,x13414)))+~P28(f12(f12(f55(f173(x13411,x13411)),f12(f12(f34(x13411,x13411),x13412),x13413)),f43(x13411,f12(f12(f31(f172(f173(x13411,x13411),a2)),x13414),x13415))))
% 1.12/1.32 [1379]P28(f12(f12(f55(f173(x13791,x13791)),f12(f12(f34(x13791,x13791),f70(x13795,x13794,x13793,x13792,x13791)),x13793)),f43(x13791,x13794)))+P28(f12(f12(f55(f173(x13791,x13791)),f12(f12(f34(x13791,x13791),x13792),x13793)),f43(x13791,x13794)))+~P28(f12(f12(f55(f173(x13791,x13791)),f12(f12(f34(x13791,x13791),x13792),x13793)),f43(x13791,f12(f12(f31(f172(f173(x13791,x13791),a2)),x13794),x13795))))
% 1.12/1.32 [1390]P28(f12(f12(f55(f173(x13901,x13901)),f12(f12(f34(x13901,x13901),x13902),x13903)),f43(x13901,x13904)))+P28(f12(f12(f55(f173(x13901,x13901)),f12(f12(f34(x13901,x13901),f69(x13905,x13904,x13903,x13902,x13901)),f70(x13905,x13904,x13903,x13902,x13901))),x13905))+~P28(f12(f12(f55(f173(x13901,x13901)),f12(f12(f34(x13901,x13901),x13902),x13903)),f43(x13901,f12(f12(f31(f172(f173(x13901,x13901),a2)),x13904),x13905))))
% 1.12/1.32 [959]~P9(f172(x9595,f172(x9596,a2)),x9594,x9591)+P28(f12(f12(x9591,x9592),x9593))+~P28(f12(f12(x9594,x9592),x9593))
% 1.12/1.32 [1376]~E(f12(x13766,f103(x13765,x13762,x13763,x13766,x13764,x13761)),f12(x13763,f103(x13765,x13762,x13763,x13766,x13764,x13761)))+P28(f12(f12(f55(f172(x13761,x13762)),x13763),f20(x13761,x13762,x13764,x13765)))+~P28(f12(f12(f55(f172(x13761,x13762)),x13766),f20(x13761,x13762,x13764,x13765)))
% 1.12/1.32 [1377]~E(f12(x13776,f103(x13775,x13772,x13776,x13773,x13774,x13771)),f12(x13773,f103(x13775,x13772,x13776,x13773,x13774,x13771)))+P28(f12(f12(f55(f172(x13771,x13772)),x13773),f20(x13771,x13772,x13774,x13775)))+~P28(f12(f12(f55(f172(x13771,x13772)),x13776),f20(x13771,x13772,x13774,x13775)))
% 1.12/1.32 [1394]~P9(f172(x13941,a2),x13943,x13945)+~P9(f172(x13942,a2),f12(x13944,f64(x13946,x13944,x13942,x13945,x13943,x13941)),f12(x13946,f64(x13946,x13944,x13942,x13945,x13943,x13941)))+P9(f172(f173(x13941,x13942),a2),f35(x13941,x13942,x13943,x13944),f35(x13941,x13942,x13945,x13946))
% 1.12/1.32 [1108]E(x11081,x11082)+~E(f35(x11083,x11084,x11081,f15(f172(x11084,a2),x11083,x11085)),f35(x11083,x11084,x11082,f15(f172(x11084,a2),x11083,x11085)))+~P28(f12(f12(f55(x11084),x11086),x11085))
% 1.12/1.32 [1150]~P9(f172(x11501,a2),x11503,x11505)+P9(f172(f173(x11501,x11502),a2),f35(x11501,x11502,x11503,f15(f172(x11502,a2),x11501,x11504)),f35(x11501,x11502,x11505,f15(f172(x11502,a2),x11501,x11504)))+~P28(f12(f12(f55(x11502),x11506),x11504))
% 1.12/1.32 [1165]E(f12(x11651,x11652),f29(x11653))+~P28(f12(f12(f55(f172(x11654,x11653)),x11651),f22(x11654,x11653,x11655,x11656)))+P28(f12(f12(f55(x11654),x11652),x11655))
% 1.12/1.32 [1182]~P28(f12(f12(f55(f172(x11825,x11821)),x11822),f22(x11825,x11821,x11826,x11824)))+P28(f12(f12(f55(x11821),f12(x11822,x11823)),x11824))+~P28(f12(f12(f55(x11825),x11823),x11826))
% 1.12/1.32 [1191]~P28(f12(f12(f55(x11912),x11914),f12(x11916,x11913)))+P28(f12(f12(f55(f173(x11911,x11912)),f12(f12(f34(x11911,x11912),x11913),x11914)),f35(x11911,x11912,x11915,x11916)))+~P28(f12(f12(f55(x11911),x11913),x11915))
% 1.12/1.32 [1193]~P28(f12(f12(f55(f172(x11935,x11931)),x11932),f20(x11935,x11931,x11936,x11934)))+P28(f12(f12(f55(x11931),f12(x11932,x11933)),f12(x11934,x11933)))+~P28(f12(f12(f55(x11935),x11933),x11936))
% 1.12/1.32 [1218]P9(f172(x12181,a2),x12182,x12183)+~P9(f172(f173(x12181,x12184),a2),f35(x12181,x12184,x12182,f15(f172(x12184,a2),x12181,x12186)),f35(x12181,x12184,x12183,f15(f172(x12184,a2),x12181,x12186)))+~P28(f12(f12(f55(x12184),x12185),x12186))
% 1.12/1.32 [1353]P28(f12(f12(f55(f172(x13531,x13534)),f18(x13531,x13534,x13535,x13532,f29(x13534))),f22(x13531,x13534,x13533,x13536)))+~P28(f12(f12(f55(f172(x13531,x13534)),x13535),f22(x13531,x13534,f45(x13531,x13532,x13533),x13536)))+P28(f12(f12(f55(x13531),x13532),x13533))
% 1.12/1.32 [1383]~P9(f172(x13831,a2),x13836,x13835)+P9(f172(f173(x13831,x13834),a2),f35(x13831,x13834,x13836,x13833),f35(x13831,x13834,x13835,x13832))+P28(f12(f12(f55(x13831),f64(x13832,x13833,x13834,x13835,x13836,x13831)),x13836))
% 1.12/1.32 [1384]P28(f12(f12(f55(f172(x13841,x13843)),x13844),f20(x13841,x13843,x13846,x13842)))+~P28(f12(f12(f55(f172(x13841,x13843)),x13845),f20(x13841,x13843,x13846,x13842)))+P28(f12(f12(f55(x13841),f103(x13842,x13843,x13844,x13845,x13846,x13841)),x13846))
% 1.12/1.32 [1385]P28(f12(f12(f55(f172(x13851,x13853)),x13855),f20(x13851,x13853,x13856,x13852)))+~P28(f12(f12(f55(f172(x13851,x13853)),x13854),f20(x13851,x13853,x13856,x13852)))+P28(f12(f12(f55(x13851),f103(x13852,x13853,x13854,x13855,x13856,x13851)),x13856))
% 1.12/1.32 [1239]P28(f12(f12(f55(x12391),f12(x12392,x12393)),x12394))+~P28(f12(f12(f55(x12395),x12393),x12396))+~P28(f12(f12(f55(f172(x12395,x12391)),x12392),f20(x12395,x12391,x12396,f15(f172(x12391,a2),x12395,x12394))))
% 1.12/1.32 [1095]~P14(x10952,x10955)+~E(x10954,f40(x10952,x10953,x10955,x10951))+E(f12(f12(x10951,f12(f12(f12(f38(x10952,x10953),x10954),x10955),x10956)),x10956),f12(x10954,x10956))
% 1.12/1.32 [1220]~P28(f12(f12(x12204,x12205),x12206))+~P28(f12(f12(x12203,x12205),x12206))+P28(f12(f12(f12(f12(f28(f172(x12201,f172(x12202,a2))),x12203),x12204),x12205),x12206))
% 1.12/1.32 [1335]~P28(f12(x13356,x13353))+~P28(f12(f12(f55(f173(x13352,x13352)),f12(f12(f34(x13352,x13352),x13354),x13355)),f12(x13357,x13353)))+P28(f12(f12(f55(f173(f173(x13351,x13352),f173(x13351,x13352))),f12(f12(f34(f173(x13351,x13352),f173(x13351,x13352)),f12(f12(f34(x13351,x13352),x13353),x13354)),f12(f12(f34(x13351,x13352),x13353),x13355))),f41(x13351,x13352,x13356,x13357)))
% 1.12/1.32 [1402]~P11(x14027,x14026,x14025,x14021)+~E(f12(x14022,f94(x14021,x14025,x14026,x14027,x14022,x14024,x14023)),f12(x14024,f94(x14021,x14025,x14026,x14027,x14022,x14024,x14023)))+E(f12(f12(x14021,x14022),x14023),f12(f12(x14021,x14024),x14023))
% 1.12/1.32 [1351]~P28(f12(f12(f55(f172(x13511,x13512)),x13513),f22(x13511,x13512,x13516,x13517)))+~P28(f12(f12(f55(x13512),x13515),x13517))+P28(f12(f12(f55(f172(x13511,x13512)),f18(x13511,x13512,x13513,x13514,x13515)),f22(x13511,x13512,f45(x13511,x13514,x13516),x13517)))
% 1.12/1.32 [1409]~E(x14096,f12(f12(x14094,x14097),x14095))+P28(f12(f39(x14091,x14092,x14093,x14094,x14095),x14096))+~P28(f12(f39(x14091,x14092,x14093,x14094,f82(x14096,x14095,x14094,x14093,x14092,x14091,x14097)),f12(x14097,f82(x14096,x14095,x14094,x14093,x14092,x14091,x14097))))
% 1.12/1.32 [1410]~E(f12(f12(x14104,x14106),x14105),f12(f12(x14104,x14107),x14105))+~P28(f12(f39(x14101,x14102,x14103,x14104,f131(x14106,x14105,x14104,x14103,x14102,x14101,x14107)),f12(x14107,f131(x14106,x14105,x14104,x14103,x14102,x14101,x14107))))+P28(f12(f39(x14101,x14102,x14103,x14104,x14105),f12(f12(x14104,x14106),x14105)))
% 1.12/1.32 [1422]E(f12(f12(f34(x14221,x14222),x14223),x14224),f12(f12(f34(x14221,x14222),x14225),x14226))+P28(f12(f12(f55(f173(f173(x14221,x14222),f173(x14221,x14222))),f12(f12(f34(f173(x14221,x14222),f173(x14221,x14222)),f12(f12(f34(x14221,x14222),f106(x14227,x14224,x14223,x14226,x14225,x14222,x14221)),f111(x14227,x14224,x14223,x14226,x14225,x14222,x14221))),f12(f12(f34(x14221,x14222),x14223),x14224))),f43(f173(x14221,x14222),x14227)))+~P28(f12(f12(f55(f173(f173(x14221,x14222),f173(x14221,x14222))),f12(f12(f34(f173(x14221,x14222),f173(x14221,x14222)),f12(f12(f34(x14221,x14222),x14225),x14226)),f12(f12(f34(x14221,x14222),x14223),x14224))),f43(f173(x14221,x14222),x14227)))
% 1.12/1.32 [1169]E(f12(x11691,x11692),f12(x11693,x11692))+~E(f12(f12(f12(f38(x11694,x11695),x11691),x11696),x11697),f12(f12(f12(f38(x11694,x11695),x11693),x11696),x11697))+~P28(f12(f12(f55(f173(x11694,x11694)),f12(f12(f34(x11694,x11694),x11692),x11697)),x11696))
% 1.12/1.32 [1388]~P28(f12(f39(x13881,x13882,x13883,x13884,x13887),x13886))+P28(f12(f39(x13881,x13882,x13883,x13884,x13885),f12(f80(x13886,x13887,x13884,x13883,x13882,x13881),x13885)))+~P28(f12(f12(f55(f173(x13881,x13881)),f12(f12(f34(x13881,x13881),x13885),x13887)),x13883))
% 1.12/1.32 [1389]~P28(f12(f39(x13891,x13892,x13893,x13894,x13897),f12(f12(x13894,x13896),x13897)))+P28(f12(f39(x13891,x13892,x13893,x13894,x13895),f12(f118(x13896,x13897,x13894,x13893,x13892,x13891),x13895)))+~P28(f12(f12(f55(f173(x13891,x13891)),f12(f12(f34(x13891,x13891),x13895),x13897)),x13893))
% 1.12/1.32 [1412]~P11(x14125,x14127,x14126,x14121)+E(f12(f12(x14121,x14122),x14123),f12(f12(x14121,x14124),x14123))+P28(f12(f12(f55(f173(x14125,x14125)),f12(f12(f34(x14125,x14125),f94(x14121,x14126,x14127,x14125,x14122,x14124,x14123)),x14123)),x14126))
% 1.12/1.32 [1413]~E(x14136,f12(f12(x14134,x14137),x14135))+P28(f12(f39(x14131,x14132,x14133,x14134,x14135),x14136))+P28(f12(f12(f55(f173(x14131,x14131)),f12(f12(f34(x14131,x14131),f82(x14136,x14135,x14134,x14133,x14132,x14131,x14137)),x14135)),x14133))
% 1.12/1.32 [1414]~E(f12(f12(x14144,x14146),x14145),f12(f12(x14144,x14147),x14145))+P28(f12(f39(x14141,x14142,x14143,x14144,x14145),f12(f12(x14144,x14146),x14145)))+P28(f12(f12(f55(f173(x14141,x14141)),f12(f12(f34(x14141,x14141),f131(x14146,x14145,x14144,x14143,x14142,x14141,x14147)),x14145)),x14143))
% 1.12/1.32 [1421]E(f12(f12(f34(x14211,x14212),x14213),x14214),f12(f12(f34(x14211,x14212),x14215),x14216))+~P28(f12(f12(f55(f173(f173(x14211,x14212),f173(x14211,x14212))),f12(f12(f34(f173(x14211,x14212),f173(x14211,x14212)),f12(f12(f34(x14211,x14212),x14213),x14214)),f12(f12(f34(x14211,x14212),x14215),x14216))),f43(f173(x14211,x14212),x14217)))+P28(f12(f12(f55(f173(f173(x14211,x14212),f173(x14211,x14212))),f12(f12(f34(f173(x14211,x14212),f173(x14211,x14212)),f12(f12(f34(x14211,x14212),x14213),x14214)),f12(f12(f34(x14211,x14212),f106(x14217,x14216,x14215,x14214,x14213,x14212,x14211)),f111(x14217,x14216,x14215,x14214,x14213,x14212,x14211)))),x14217))
% 1.12/1.32 [1363]~P28(f12(f12(f55(f172(x13633,x13632)),x13634),f20(x13633,x13632,x13638,f15(f172(x13632,a2),x13633,x13637))))+~P28(f12(f12(f55(f172(x13631,x13633)),x13635),f20(x13631,x13633,x13636,f15(f172(x13633,a2),x13631,x13638))))+P28(f12(f12(f55(f172(x13631,x13632)),f23(x13631,x13632,f12(f6(x13633,x13632,x13631,x13634),x13635),x13636)),f20(x13631,x13632,x13636,f15(f172(x13632,a2),x13631,x13637))))
% 1.12/1.32 [1334]~E(x13343,x13345)+P28(f12(f12(f55(f173(f173(x13341,x13342),f173(x13341,x13342))),f12(f12(f34(f173(x13341,x13342),f173(x13341,x13342)),f12(f12(f34(x13341,x13342),x13343),x13344)),f12(f12(f34(x13341,x13342),x13345),x13346))),f51(x13341,x13342,x13347,x13348)))+~P28(f12(f12(f55(f173(x13342,x13342)),f12(f12(f34(x13342,x13342),x13344),x13346)),x13348))
% 1.12/1.32 [1359]E(x13591,x13592)+~P28(f12(f12(f55(f173(f173(x13593,x13595),f173(x13593,x13595))),f12(f12(f34(f173(x13593,x13595),f173(x13593,x13595)),f12(f12(f34(x13593,x13595),x13591),x13596)),f12(f12(f34(x13593,x13595),x13592),x13597))),f51(x13593,x13595,x13594,x13598)))+P28(f12(f12(f55(f173(x13593,x13593)),f12(f12(f34(x13593,x13593),x13591),x13592)),x13594))
% 1.12/1.32 [1361]~P28(f12(f12(f55(f173(f173(x13611,x13615),f173(x13611,x13615))),f12(f12(f34(f173(x13611,x13615),f173(x13611,x13615)),f12(f12(f34(x13611,x13615),x13612),x13616)),f12(f12(f34(x13611,x13615),x13613),x13617))),f51(x13611,x13615,x13614,x13618)))+P28(f12(f12(f55(f173(x13611,x13611)),f12(f12(f34(x13611,x13611),x13612),x13613)),x13614))+P28(f12(f12(f55(f173(x13615,x13615)),f12(f12(f34(x13615,x13615),x13616),x13617)),x13618))
% 1.12/1.32 [855]~P9(x8553,x8552,x8551)+~P9(x8553,x8551,x8552)+E(x8551,x8552)+~P27(x8553)
% 1.12/1.32 [801]~P6(x8011)+~E(x8013,f27(x8011))+~E(x8012,f27(x8011))+E(f12(f12(f31(x8011),x8012),x8013),f27(x8011))
% 1.12/1.32 [1115]~P14(x11151,x11153)+~P14(x11151,x11152)+~E(f12(f12(f28(f172(x11151,a2)),f26(x11151,x11151,x11152)),f44(x11151,x11151,x11153)),f27(f172(x11151,a2)))+P14(x11151,f12(f12(f31(f172(f173(x11151,x11151),a2)),x11152),x11153))
% 1.12/1.32 [1203]E(x12031,x12032)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12031),x12032)),x12033))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12032),x12031)),x12033))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12033),a5))
% 1.12/1.32 [877]~P27(x8771)+~P9(x8771,x8774,x8773)+P9(x8771,x8772,x8773)+~P9(x8771,x8772,x8774)
% 1.12/1.32 [878]~P22(x8781)+~P9(x8781,x8782,x8784)+P9(x8781,x8782,x8783)+~P9(x8781,x8784,x8783)
% 1.12/1.32 [1057]~E(x10573,x10571)+E(x10571,x10572)+E(x10573,x10572)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x10572),x10573)),f10(x10574,x10571)))
% 1.12/1.32 [1058]~E(x10583,x10581)+E(x10581,x10582)+E(x10583,x10582)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x10583),x10582)),f11(x10584,x10581)))
% 1.12/1.32 [938]~P21(x9381)+~P9(x9381,x9382,x9384)+~P9(x9381,x9382,x9383)+P9(x9381,x9382,f12(f12(f28(x9381),x9383),x9384))
% 1.12/1.32 [941]~P25(x9411)+~P9(x9411,x9413,x9414)+~P9(x9411,x9412,x9414)+P9(x9411,f12(f12(f31(x9411),x9412),x9413),x9414)
% 1.12/1.32 [951]E(x9511,x9512)+~E(f45(x9513,x9514,x9511),f45(x9513,x9514,x9512))+P28(f12(f12(f55(x9513),x9514),x9512))+P28(f12(f12(f55(x9513),x9514),x9511))
% 1.12/1.32 [1174]E(x11741,x11742)+E(x11743,x11742)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11743),x11741)),f11(x11744,x11742)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11743),x11741)),x11744))
% 1.12/1.32 [1175]E(x11751,x11752)+E(x11753,x11752)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11753),x11751)),f10(x11754,x11752)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11753),x11751)),x11754))
% 1.12/1.32 [1176]E(x11761,x11762)+E(x11763,x11761)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11763),x11761)),f11(x11764,x11762)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11763),x11761)),x11764))
% 1.12/1.32 [1177]E(x11771,x11772)+E(x11771,x11773)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11771),x11773)),f10(x11774,x11772)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11771),x11773)),x11774))
% 1.12/1.32 [1231]E(x12311,x12312)+~P8(x12313,x12314)+~P28(f12(f12(f55(f173(x12313,x12313)),f12(f12(f34(x12313,x12313),x12312),x12311)),x12314))+~P28(f12(f12(f55(f173(x12313,x12313)),f12(f12(f34(x12313,x12313),x12311),x12312)),x12314))
% 1.12/1.32 [1316]~P1(x13163)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13161),x13162)),f12(x13163,x13164)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13161),x13162)),f12(x13164,f147(x13163,x13164,x13161,x13162))))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13164),a7))
% 1.12/1.32 [1306]~P28(f12(x13061,x13064))+P28(f12(x13061,x13062))+~P28(f12(f12(f55(f173(x13065,x13065)),f12(f12(f34(x13065,x13065),x13062),x13064)),f43(x13065,x13063)))+P28(f12(x13061,f132(x13061,x13063,x13064,x13062,x13065)))
% 1.12/1.32 [1307]~P28(f12(x13071,x13074))+P28(f12(x13071,x13072))+~P28(f12(f12(f55(f173(x13075,x13075)),f12(f12(f34(x13075,x13075),x13074),x13072)),f43(x13075,x13073)))+P28(f12(x13071,f128(x13071,x13073,x13072,x13074,x13075)))
% 1.12/1.32 [1323]E(x13231,x13232)+~E(f12(x13231,f99(x13232,x13233,x13231,x13234,x13235)),f12(x13232,f99(x13232,x13233,x13231,x13234,x13235)))+~P28(f12(f12(f55(f172(x13235,x13234)),x13232),f16(x13235,x13234,x13233)))+~P28(f12(f12(f55(f172(x13235,x13234)),x13231),f16(x13235,x13234,x13233)))
% 1.12/1.32 [1325]P28(f12(x13251,x13252))+~P28(f12(x13251,x13253))+~P28(f12(f12(f55(f173(x13255,x13255)),f12(f12(f34(x13255,x13255),x13252),x13253)),f43(x13255,x13254)))+~P28(f12(x13251,f136(x13251,x13254,x13253,x13252,x13255)))
% 1.12/1.32 [1326]P28(f12(x13261,x13262))+~P28(f12(x13261,x13263))+~P28(f12(f12(f55(f173(x13265,x13265)),f12(f12(f34(x13265,x13265),x13263),x13262)),f43(x13265,x13264)))+~P28(f12(x13261,f129(x13261,x13264,x13262,x13263,x13265)))
% 1.12/1.32 [1365]~P28(f12(x13651,x13654))+P28(f12(x13651,x13652))+P28(f12(f12(f55(f173(x13653,x13653)),f12(f12(f34(x13653,x13653),x13654),f128(x13651,x13655,x13652,x13654,x13653))),f43(x13653,x13655)))+~P28(f12(f12(f55(f173(x13653,x13653)),f12(f12(f34(x13653,x13653),x13654),x13652)),f43(x13653,x13655)))
% 1.12/1.32 [1378]~P28(f12(x13781,x13785))+P28(f12(x13781,x13782))+~P28(f12(f12(f55(f173(x13783,x13783)),f12(f12(f34(x13783,x13783),x13782),x13785)),f43(x13783,x13784)))+P28(f12(f12(f55(f173(x13783,x13783)),f12(f12(f34(x13783,x13783),f132(x13781,x13784,x13785,x13782,x13783)),x13785)),f43(x13783,x13784)))
% 1.12/1.32 [972]~P21(x9721)+~P9(x9721,x9723,x9725)+~P9(x9721,x9722,x9724)+P9(x9721,f12(f12(f28(x9721),x9722),x9723),f12(f12(f28(x9721),x9724),x9725))
% 1.12/1.32 [973]~P25(x9731)+~P9(x9731,x9733,x9735)+~P9(x9731,x9732,x9734)+P9(x9731,f12(f12(f31(x9731),x9732),x9733),f12(f12(f31(x9731),x9734),x9735))
% 1.12/1.32 [1224]E(x12241,x12242)+~P9(f172(f173(x12243,x12243),a2),x12245,f35(x12243,x12243,x12244,f15(f172(x12243,a2),x12243,x12244)))+~P28(f12(f12(f55(f173(x12243,x12243)),f12(f12(f34(x12243,x12243),x12241),x12242)),f43(x12243,x12245)))+P28(f12(f12(f55(x12243),x12241),x12244))
% 1.12/1.32 [1344]E(x13441,x13442)+~P28(f12(f12(f55(f172(x13443,x13445)),x13442),f16(x13443,x13445,x13444)))+~P28(f12(f12(f55(f172(x13443,x13445)),x13441),f16(x13443,x13445,x13444)))+P28(f12(f12(f55(x13443),f99(x13441,x13444,x13442,x13445,x13443)),x13444))
% 1.12/1.32 [1004]~E(x10041,x10042)+~E(f12(f12(f28(f172(x10043,a2)),x10044),x10045),f27(f172(x10043,a2)))+~P28(f12(f12(f55(x10043),x10042),x10045))+~P28(f12(f12(f55(x10043),x10041),x10044))
% 1.12/1.32 [1232]~P14(x12321,x12322)+~P28(f12(f12(f55(x12321),x12323),x12324))+~P28(f12(f12(f55(x12321),x12325),x12324))+~P28(f12(f12(f55(f173(x12321,x12321)),f12(f12(f34(x12321,x12321),x12325),f158(x12322,x12321,x12324))),x12322))
% 1.12/1.32 [1386]~P28(f12(x13861,x13865))+P28(f12(x13861,x13862))+~P28(f12(f12(f55(f173(x13863,x13863)),f12(f12(f34(x13863,x13863),x13862),x13865)),f43(x13863,x13864)))+P28(f12(f12(f55(f173(x13863,x13863)),f12(f12(f34(x13863,x13863),f136(x13861,x13864,x13865,x13862,x13863)),f132(x13861,x13864,x13865,x13862,x13863))),x13864))
% 1.12/1.32 [1387]~P28(f12(x13871,x13875))+P28(f12(x13871,x13872))+~P28(f12(f12(f55(f173(x13873,x13873)),f12(f12(f34(x13873,x13873),x13875),x13872)),f43(x13873,x13874)))+P28(f12(f12(f55(f173(x13873,x13873)),f12(f12(f34(x13873,x13873),f128(x13871,x13874,x13872,x13875,x13873)),f129(x13871,x13874,x13872,x13875,x13873))),x13874))
% 1.12/1.32 [1200]E(x12001,x12002)+~E(x12003,x12004)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12003),x12004)),f8(x12005,x12001,x12002)))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12005),a5))
% 1.12/1.32 [1214]E(x12141,x12142)+~E(x12143,x12144)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12143),x12144)),f12(f12(f12(a9,x12145),x12141),x12142)))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12145),a5))
% 1.12/1.32 [1222]~P28(f12(x12221,x12225))+P28(f12(x12221,f65(x12221,x12222,x12223,x12224)))+P28(f12(x12221,f63(x12221,x12222,x12223,x12224)))+~P28(f12(f12(f55(x12224),x12225),f12(f12(f31(f172(x12224,a2)),x12223),x12222)))
% 1.12/1.32 [1265]~P28(f12(x12651,x12655))+P28(f12(x12651,f63(x12651,x12652,x12653,x12654)))+P28(f12(f12(f55(x12654),f65(x12651,x12652,x12653,x12654)),x12652))+~P28(f12(f12(f55(x12654),x12655),f12(f12(f31(f172(x12654,a2)),x12653),x12652)))
% 1.12/1.32 [1266]~P28(f12(x12661,x12665))+P28(f12(x12661,f65(x12661,x12662,x12663,x12664)))+P28(f12(f12(f55(x12664),f63(x12661,x12662,x12663,x12664)),x12663))+~P28(f12(f12(f55(x12664),x12665),f12(f12(f31(f172(x12664,a2)),x12663),x12662)))
% 1.12/1.32 [1267]P28(f12(x12671,x12672))+~P28(f12(x12671,f68(x12671,x12673,x12674,x12675)))+~P28(f12(x12671,f67(x12671,x12673,x12674,x12675)))+~P28(f12(f12(f55(x12675),x12672),f12(f12(f31(f172(x12675,a2)),x12674),x12673)))
% 1.12/1.32 [1284]P28(f12(x12841,x12842))+~P28(f12(x12841,f67(x12841,x12844,x12845,x12843)))+P28(f12(f12(f55(x12843),f68(x12841,x12844,x12845,x12843)),x12844))+~P28(f12(f12(f55(x12843),x12842),f12(f12(f31(f172(x12843,a2)),x12845),x12844)))
% 1.12/1.32 [1285]P28(f12(x12851,x12852))+~P28(f12(x12851,f68(x12851,x12854,x12855,x12853)))+P28(f12(f12(f55(x12853),f67(x12851,x12854,x12855,x12853)),x12855))+~P28(f12(f12(f55(x12853),x12852),f12(f12(f31(f172(x12853,a2)),x12855),x12854)))
% 1.12/1.32 [1296]P28(f12(x12961,x12962))+P28(f12(f12(f55(x12963),f68(x12961,x12964,x12965,x12963)),x12964))+P28(f12(f12(f55(x12963),f67(x12961,x12964,x12965,x12963)),x12965))+~P28(f12(f12(f55(x12963),x12962),f12(f12(f31(f172(x12963,a2)),x12965),x12964)))
% 1.12/1.32 [1297]~P28(f12(x12972,x12975))+P28(f12(f12(f55(x12971),f65(x12972,x12973,x12974,x12971)),x12973))+P28(f12(f12(f55(x12971),f63(x12972,x12973,x12974,x12971)),x12974))+~P28(f12(f12(f55(x12971),x12975),f12(f12(f31(f172(x12971,a2)),x12974),x12973)))
% 1.12/1.32 [1320]~P14(x13206,x13204)+~P11(x13206,x13205,x13204,x13203)+E(x13201,f154(x13202,x13203,x13204,x13205,x13206))+~P28(f12(f39(x13206,x13205,x13204,x13203,x13202),x13201))
% 1.12/1.32 [1238]E(x12381,x12382)+~P15(x12383,x12384,x12385)+~P28(f12(f12(f55(f173(x12383,x12384)),f12(f12(f34(x12383,x12384),x12386),x12382)),x12385))+~P28(f12(f12(f55(f173(x12383,x12384)),f12(f12(f34(x12383,x12384),x12386),x12381)),x12385))
% 1.12/1.32 [1416]~P28(f12(f12(x14161,x14166),x14165))+P28(f12(f12(x14161,f109(x14161,x14164,x14165,x14166,x14163,x14162,x14167,x14168)),f113(x14161,x14164,x14165,x14166,x14163,x14162,x14167,x14168)))+P28(f12(f12(x14161,x14162),x14163))+~P28(f12(f12(f55(f173(f173(x14168,x14167),f173(x14168,x14167))),f12(f12(f34(f173(x14168,x14167),f173(x14168,x14167)),f12(f12(f34(x14168,x14167),x14162),x14163)),f12(f12(f34(x14168,x14167),x14166),x14165))),f43(f173(x14168,x14167),x14164)))
% 1.12/1.32 [1417]~P28(f12(f12(x14171,x14176),x14175))+P28(f12(f12(x14171,f114(x14171,x14174,x14173,x14172,x14175,x14176,x14177,x14178)),f115(x14171,x14174,x14173,x14172,x14175,x14176,x14177,x14178)))+P28(f12(f12(x14171,x14172),x14173))+~P28(f12(f12(f55(f173(f173(x14178,x14177),f173(x14178,x14177))),f12(f12(f34(f173(x14178,x14177),f173(x14178,x14177)),f12(f12(f34(x14178,x14177),x14176),x14175)),f12(f12(f34(x14178,x14177),x14172),x14173))),f43(f173(x14178,x14177),x14174)))
% 1.12/1.32 [1419]~P28(f12(f12(x14191,f110(x14191,x14196,x14195,x14194,x14193,x14192,x14197,x14198)),f112(x14191,x14196,x14195,x14194,x14193,x14192,x14197,x14198)))+P28(f12(f12(x14191,x14192),x14193))+~P28(f12(f12(x14191,x14194),x14195))+~P28(f12(f12(f55(f173(f173(x14198,x14197),f173(x14198,x14197))),f12(f12(f34(f173(x14198,x14197),f173(x14198,x14197)),f12(f12(f34(x14198,x14197),x14192),x14193)),f12(f12(f34(x14198,x14197),x14194),x14195))),f43(f173(x14198,x14197),x14196)))
% 1.12/1.32 [1420]~P28(f12(f12(x14201,f116(x14201,x14206,x14203,x14202,x14205,x14204,x14207,x14208)),f117(x14201,x14206,x14203,x14202,x14205,x14204,x14207,x14208)))+P28(f12(f12(x14201,x14202),x14203))+~P28(f12(f12(x14201,x14204),x14205))+~P28(f12(f12(f55(f173(f173(x14208,x14207),f173(x14208,x14207))),f12(f12(f34(f173(x14208,x14207),f173(x14208,x14207)),f12(f12(f34(x14208,x14207),x14204),x14205)),f12(f12(f34(x14208,x14207),x14202),x14203))),f43(f173(x14208,x14207),x14206)))
% 1.12/1.32 [1423]~P28(f12(f12(x14231,x14236),x14237))+P28(f12(f12(x14231,x14232),x14233))+P28(f12(f12(f55(f173(f173(x14234,x14235),f173(x14234,x14235))),f12(f12(f34(f173(x14234,x14235),f173(x14234,x14235)),f12(f12(f34(x14234,x14235),x14236),x14237)),f12(f12(f34(x14234,x14235),f114(x14231,x14238,x14233,x14232,x14237,x14236,x14235,x14234)),f115(x14231,x14238,x14233,x14232,x14237,x14236,x14235,x14234)))),f43(f173(x14234,x14235),x14238)))+~P28(f12(f12(f55(f173(f173(x14234,x14235),f173(x14234,x14235))),f12(f12(f34(f173(x14234,x14235),f173(x14234,x14235)),f12(f12(f34(x14234,x14235),x14236),x14237)),f12(f12(f34(x14234,x14235),x14232),x14233))),f43(f173(x14234,x14235),x14238)))
% 1.12/1.32 [1424]~P28(f12(f12(x14241,x14248),x14247))+P28(f12(f12(x14241,x14242),x14243))+P28(f12(f12(f55(f173(f173(x14244,x14245),f173(x14244,x14245))),f12(f12(f34(f173(x14244,x14245),f173(x14244,x14245)),f12(f12(f34(x14244,x14245),f109(x14241,x14246,x14247,x14248,x14243,x14242,x14245,x14244)),f113(x14241,x14246,x14247,x14248,x14243,x14242,x14245,x14244))),f12(f12(f34(x14244,x14245),x14248),x14247))),f43(f173(x14244,x14245),x14246)))+~P28(f12(f12(f55(f173(f173(x14244,x14245),f173(x14244,x14245))),f12(f12(f34(f173(x14244,x14245),f173(x14244,x14245)),f12(f12(f34(x14244,x14245),x14242),x14243)),f12(f12(f34(x14244,x14245),x14248),x14247))),f43(f173(x14244,x14245),x14246)))
% 1.12/1.32 [1425]~P28(f12(f12(x14251,x14258),x14257))+P28(f12(f12(x14251,x14252),x14253))+~P28(f12(f12(f55(f173(f173(x14254,x14255),f173(x14254,x14255))),f12(f12(f34(f173(x14254,x14255),f173(x14254,x14255)),f12(f12(f34(x14254,x14255),x14252),x14253)),f12(f12(f34(x14254,x14255),x14258),x14257))),f43(f173(x14254,x14255),x14256)))+P28(f12(f12(f55(f173(f173(x14254,x14255),f173(x14254,x14255))),f12(f12(f34(f173(x14254,x14255),f173(x14254,x14255)),f12(f12(f34(x14254,x14255),f110(x14251,x14256,x14257,x14258,x14253,x14252,x14255,x14254)),f112(x14251,x14256,x14257,x14258,x14253,x14252,x14255,x14254))),f12(f12(f34(x14254,x14255),f109(x14251,x14256,x14257,x14258,x14253,x14252,x14255,x14254)),f113(x14251,x14256,x14257,x14258,x14253,x14252,x14255,x14254)))),x14256))
% 1.12/1.32 [1426]~P28(f12(f12(x14261,x14268),x14267))+P28(f12(f12(x14261,x14262),x14263))+~P28(f12(f12(f55(f173(f173(x14264,x14265),f173(x14264,x14265))),f12(f12(f34(f173(x14264,x14265),f173(x14264,x14265)),f12(f12(f34(x14264,x14265),x14268),x14267)),f12(f12(f34(x14264,x14265),x14262),x14263))),f43(f173(x14264,x14265),x14266)))+P28(f12(f12(f55(f173(f173(x14264,x14265),f173(x14264,x14265))),f12(f12(f34(f173(x14264,x14265),f173(x14264,x14265)),f12(f12(f34(x14264,x14265),f114(x14261,x14266,x14263,x14262,x14267,x14268,x14265,x14264)),f115(x14261,x14266,x14263,x14262,x14267,x14268,x14265,x14264))),f12(f12(f34(x14264,x14265),f116(x14261,x14266,x14263,x14262,x14267,x14268,x14265,x14264)),f117(x14261,x14266,x14263,x14262,x14267,x14268,x14265,x14264)))),x14266))
% 1.12/1.32 [1366]E(f23(x13661,x13662,f12(f6(x13663,x13662,x13661,x13664),f23(x13661,x13663,f12(f6(x13665,x13663,x13661,x13666),x13667),x13668)),x13668),f23(x13661,x13662,f12(f6(x13665,x13662,x13661,f23(x13665,x13662,f12(f6(x13663,x13662,x13665,x13664),x13666),x13669)),x13667),x13668))+~P28(f12(f12(f55(f172(x13665,x13663)),x13666),f20(x13665,x13663,x13669,f15(f172(x13663,a2),x13665,x136610))))+~P28(f12(f12(f55(f172(x13661,x13665)),x13667),f20(x13661,x13665,x13668,f15(f172(x13665,a2),x13661,x13669))))+~P28(f12(f12(f55(f172(x13663,x13662)),x13664),f20(x13663,x13662,x136610,f15(f172(x13662,a2),x13663,x136611))))
% 1.12/1.32 [1300]~P15(x13001,x13001,x13004)+P28(f12(f12(f55(f173(x13001,x13001)),f12(f12(f34(x13001,x13001),x13002),x13003)),f43(x13001,x13004)))+P28(f12(f12(f55(f173(x13001,x13001)),f12(f12(f34(x13001,x13001),x13003),x13002)),f43(x13001,x13004)))+~P28(f12(f12(f55(f173(x13001,x13001)),f12(f12(f34(x13001,x13001),x13005),x13002)),f43(x13001,x13004)))+~P28(f12(f12(f55(f173(x13001,x13001)),f12(f12(f34(x13001,x13001),x13005),x13003)),f43(x13001,x13004)))
% 1.12/1.32 [1246]E(x12461,x12462)+~E(x12465,x12461)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12463),x12465)),f8(x12464,x12461,x12462)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12463),x12462)),x12464))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12464),a5))
% 1.12/1.32 [1262]E(x12621,x12622)+~E(x12625,x12621)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12625),x12623)),f12(f12(f12(a9,x12624),x12622),x12621)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12622),x12623)),x12624))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12624),a5))
% 1.12/1.32 [1194]E(x11941,x11942)+~P18(x11943,x11945,x11944)+~P28(f12(f12(f55(x11943),x11942),x11945))+~P28(f12(f12(f55(x11943),x11941),x11945))+P28(f12(f12(f55(f173(x11943,x11943)),f12(f12(f34(x11943,x11943),x11941),x11942)),x11944))+P28(f12(f12(f55(f173(x11943,x11943)),f12(f12(f34(x11943,x11943),x11942),x11941)),x11944))
% 1.12/1.32 [1240]~E(x12403,x12401)+E(x12401,x12402)+E(x12403,x12404)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12404),x12403)),f8(x12405,x12401,x12402)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12404),x12402)),x12405))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12405),a5))
% 1.12/1.32 [1247]E(x12471,x12472)+E(x12471,x12473)+E(x12474,x12471)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12474),x12473)),f8(x12475,x12471,x12472)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12474),x12473)),x12475))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12475),a5))
% 1.12/1.32 [1249]~E(x12493,x12491)+E(x12491,x12492)+E(x12493,x12494)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12493),x12494)),f12(f12(f12(a9,x12495),x12492),x12491)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12492),x12494)),x12495))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12495),a5))
% 1.12/1.32 [1263]E(x12631,x12632)+E(x12631,x12633)+E(x12634,x12631)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12633),x12634)),f12(f12(f12(a9,x12635),x12632),x12631)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12633),x12634)),x12635))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12635),a5))
% 1.12/1.32 [1159]~E(x11593,x11592)+~E(x11594,x11591)+E(x11591,x11592)+E(x11591,x11593)+E(x11594,x11593)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11594),x11593)),f8(x11595,x11591,x11592)))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x11595),a5))
% 1.12/1.32 [1166]~E(x11663,x11662)+~E(x11664,x11661)+E(x11661,x11662)+E(x11661,x11663)+E(x11664,x11663)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x11663),x11664)),f12(f12(f12(a9,x11665),x11662),x11661)))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x11665),a5))
% 1.12/1.32 [1241]E(x12414,x12413)+E(x12411,x12412)+E(x12413,x12411)+E(x12414,x12411)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12414),x12413)),f8(x12415,x12411,x12412)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12414),x12413)),x12415))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12415),a5))
% 1.12/1.32 [1242]~E(x12423,x12421)+E(x12421,x12422)+E(x12423,x12422)+E(x12424,x12423)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12424),x12423)),f8(x12425,x12422,x12421)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12424),x12423)),x12425))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12425),a5))
% 1.12/1.32 [1243]~E(x12434,x12431)+E(x12431,x12432)+E(x12431,x12433)+E(x12434,x12432)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12434),x12432)),f8(x12435,x12431,x12433)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12433),x12432)),x12435))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12435),a5))
% 1.12/1.32 [1244]~E(x12444,x12442)+~E(x12443,x12441)+E(x12441,x12442)+E(x12443,x12444)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12443),x12444)),f8(x12445,x12441,x12442)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12443),x12442)),x12445))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12445),a5))
% 1.12/1.32 [1248]E(x12483,x12481)+E(x12481,x12482)+E(x12483,x12482)+~E(x12485,x12483)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12485),x12481)),f8(x12484,x12483,x12482)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12482),x12481)),x12484))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12484),a5))
% 1.12/1.32 [1250]E(x12504,x12503)+E(x12501,x12502)+E(x12503,x12501)+E(x12504,x12501)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12504),x12503)),f12(f12(f12(a9,x12505),x12502),x12501)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12504),x12503)),x12505))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12505),a5))
% 1.12/1.32 [1251]~E(x12513,x12511)+E(x12511,x12512)+E(x12513,x12512)+E(x12513,x12514)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12513),x12514)),f12(f12(f12(a9,x12515),x12511),x12512)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12513),x12514)),x12515))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12515),a5))
% 1.12/1.32 [1252]~E(x12524,x12521)+E(x12521,x12522)+E(x12521,x12523)+E(x12524,x12523)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12523),x12524)),f12(f12(f12(a9,x12525),x12522),x12521)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12523),x12522)),x12525))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12525),a5))
% 1.12/1.32 [1253]~E(x12534,x12532)+~E(x12533,x12531)+E(x12531,x12532)+E(x12533,x12534)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12534),x12533)),f12(f12(f12(a9,x12535),x12532),x12531)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12532),x12533)),x12535))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12535),a5))
% 1.12/1.32 [1264]E(x12643,x12641)+E(x12641,x12642)+E(x12643,x12642)+~E(x12645,x12643)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12641),x12645)),f12(f12(f12(a9,x12644),x12642),x12643)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12641),x12642)),x12644))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12644),a5))
% 1.12/1.32 [1287]E(x12871,x12872)+E(x12873,x12872)+E(x12874,x12873)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12874),x12873)),f8(x12875,x12872,x12871)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12874),x12873)),x12875))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12871),x12873)),x12875))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12875),a5))
% 1.12/1.32 [1288]E(x12881,x12882)+E(x12883,x12881)+E(x12883,x12884)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12883),x12884)),f8(x12885,x12881,x12882)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12883),x12884)),x12885))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12883),x12882)),x12885))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12885),a5))
% 1.12/1.32 [1289]~E(x12894,x12891)+E(x12891,x12892)+E(x12893,x12894)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12893),x12894)),f8(x12895,x12892,x12891)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12893),x12894)),x12895))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12893),x12891)),x12895))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12895),a5))
% 1.12/1.32 [1290]~E(x12903,x12901)+E(x12901,x12902)+E(x12903,x12904)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12903),x12904)),f8(x12905,x12901,x12902)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12902),x12904)),x12905))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12903),x12902)),x12905))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12905),a5))
% 1.12/1.32 [1291]E(x12911,x12912)+E(x12913,x12911)+E(x12914,x12913)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12914),x12913)),f12(f12(f12(a9,x12915),x12912),x12911)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12914),x12913)),x12915))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12912),x12913)),x12915))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12915),a5))
% 1.12/1.32 [1292]E(x12921,x12922)+E(x12923,x12922)+E(x12923,x12924)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12923),x12924)),f12(f12(f12(a9,x12925),x12921),x12922)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12923),x12924)),x12925))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12923),x12921)),x12925))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12925),a5))
% 1.12/1.32 [1293]~E(x12933,x12931)+E(x12931,x12932)+E(x12933,x12934)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12933),x12934)),f12(f12(f12(a9,x12935),x12931),x12932)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12933),x12934)),x12935))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12931),x12934)),x12935))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12935),a5))
% 1.12/1.32 [1294]~E(x12943,x12941)+E(x12941,x12942)+E(x12943,x12944)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12944),x12943)),f12(f12(f12(a9,x12945),x12942),x12941)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12942),x12943)),x12945))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x12944),x12942)),x12945))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x12945),a5))
% 1.12/1.32 [1304]E(x13041,x13042)+E(x13043,x13044)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13043),x13044)),f8(x13045,x13042,x13041)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13043),x13044)),x13045))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13041),x13044)),x13045))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13043),x13041)),x13045))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x13045),a5))
% 1.12/1.32 [1305]E(x13051,x13052)+E(x13053,x13054)+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13053),x13054)),f12(f12(f12(a9,x13055),x13051),x13052)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13053),x13054)),x13055))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13051),x13054)),x13055))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13053),x13051)),x13055))+~P28(f12(f12(f55(f172(f173(a169,a169),a2)),x13055),a5))
% 1.12/1.32 [1367]~P2(x13673)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13671),x13672)),f12(x13673,x13675)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13671),x13672)),f12(x13673,x13674)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13671),x13672)),f12(x13675,f76(x13673,x13674,x13675,x13671,x13672))))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13671),x13672)),f12(x13674,f76(x13673,x13674,x13675,x13671,x13672))))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13674),a7))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13675),a7))
% 1.12/1.32 [1368]~P2(x13683)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13681),x13682)),f12(x13683,x13685)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13681),x13682)),f12(x13683,x13684)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13681),x13682)),f12(x13685,f76(x13683,x13685,x13684,x13681,x13682))))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13681),x13682)),f12(x13684,f76(x13683,x13685,x13684,x13681,x13682))))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13684),a7))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13685),a7))
% 1.12/1.32 [1374]~P2(x13743)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13741),x13742)),f12(x13743,x13745)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13741),x13742)),f12(x13743,x13744)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13741),x13742)),f12(x13745,f76(x13743,x13744,x13745,x13741,x13742))))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13741),x13742)),f12(x13744,f76(x13743,x13744,x13745,x13741,x13742))))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13744),a7))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13745),a7))
% 1.12/1.32 [1375]~P2(x13753)+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13751),x13752)),f12(x13753,x13755)))+P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13751),x13752)),f12(x13753,x13754)))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13751),x13752)),f12(x13755,f76(x13753,x13755,x13754,x13751,x13752))))+~P28(f12(f12(f55(f173(a169,a169)),f12(f12(f34(a169,a169),x13751),x13752)),f12(x13754,f76(x13753,x13755,x13754,x13751,x13752))))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13754),a7))+~P28(f12(f12(f55(f172(a170,f172(f173(a169,a169),a2))),x13755),a7))
% 1.12/1.32 %EqnAxiom
% 1.12/1.32 [1]E(x11,x11)
% 1.12/1.32 [2]E(x22,x21)+~E(x21,x22)
% 1.12/1.32 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.12/1.32 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.12/1.32 [5]~E(x51,x52)+E(f12(x51,x53),f12(x52,x53))
% 1.12/1.32 [6]~E(x61,x62)+E(f12(x63,x61),f12(x63,x62))
% 1.12/1.32 [7]~E(x71,x72)+E(f34(x71,x73),f34(x72,x73))
% 1.12/1.32 [8]~E(x81,x82)+E(f34(x83,x81),f34(x83,x82))
% 1.12/1.32 [9]~E(x91,x92)+E(f14(x91,x93),f14(x92,x93))
% 1.12/1.32 [10]~E(x101,x102)+E(f14(x103,x101),f14(x103,x102))
% 1.12/1.32 [11]~E(x111,x112)+E(f25(x111,x113),f25(x112,x113))
% 1.12/1.32 [12]~E(x121,x122)+E(f25(x123,x121),f25(x123,x122))
% 1.12/1.32 [13]~E(x131,x132)+E(f42(x131,x133),f42(x132,x133))
% 1.12/1.32 [14]~E(x141,x142)+E(f42(x143,x141),f42(x143,x142))
% 1.12/1.32 [15]~E(x151,x152)+E(f43(x151,x153),f43(x152,x153))
% 1.12/1.32 [16]~E(x161,x162)+E(f43(x163,x161),f43(x163,x162))
% 1.12/1.32 [17]~E(x171,x172)+E(f172(x171,x173),f172(x172,x173))
% 1.12/1.32 [18]~E(x181,x182)+E(f172(x183,x181),f172(x183,x182))
% 1.12/1.32 [19]~E(x191,x192)+E(f173(x191,x193),f173(x192,x193))
% 1.12/1.32 [20]~E(x201,x202)+E(f173(x203,x201),f173(x203,x202))
% 1.12/1.32 [21]~E(x211,x212)+E(f47(x211,x213),f47(x212,x213))
% 1.12/1.32 [22]~E(x221,x222)+E(f47(x223,x221),f47(x223,x222))
% 1.12/1.32 [23]~E(x231,x232)+E(f55(x231),f55(x232))
% 1.12/1.32 [24]~E(x241,x242)+E(f35(x241,x243,x244,x245),f35(x242,x243,x244,x245))
% 1.12/1.32 [25]~E(x251,x252)+E(f35(x253,x251,x254,x255),f35(x253,x252,x254,x255))
% 1.12/1.32 [26]~E(x261,x262)+E(f35(x263,x264,x261,x265),f35(x263,x264,x262,x265))
% 1.12/1.32 [27]~E(x271,x272)+E(f35(x273,x274,x275,x271),f35(x273,x274,x275,x272))
% 1.12/1.32 [28]~E(x281,x282)+E(f28(x281),f28(x282))
% 1.12/1.32 [29]~E(x291,x292)+E(f103(x291,x293,x294,x295,x296,x297),f103(x292,x293,x294,x295,x296,x297))
% 1.12/1.32 [30]~E(x301,x302)+E(f103(x303,x301,x304,x305,x306,x307),f103(x303,x302,x304,x305,x306,x307))
% 1.12/1.32 [31]~E(x311,x312)+E(f103(x313,x314,x311,x315,x316,x317),f103(x313,x314,x312,x315,x316,x317))
% 1.12/1.32 [32]~E(x321,x322)+E(f103(x323,x324,x325,x321,x326,x327),f103(x323,x324,x325,x322,x326,x327))
% 1.12/1.32 [33]~E(x331,x332)+E(f103(x333,x334,x335,x336,x331,x337),f103(x333,x334,x335,x336,x332,x337))
% 1.12/1.32 [34]~E(x341,x342)+E(f103(x343,x344,x345,x346,x347,x341),f103(x343,x344,x345,x346,x347,x342))
% 1.12/1.32 [35]~E(x351,x352)+E(f31(x351),f31(x352))
% 1.12/1.32 [36]~E(x361,x362)+E(f71(x361,x363,x364),f71(x362,x363,x364))
% 1.12/1.32 [37]~E(x371,x372)+E(f71(x373,x371,x374),f71(x373,x372,x374))
% 1.12/1.32 [38]~E(x381,x382)+E(f71(x383,x384,x381),f71(x383,x384,x382))
% 1.12/1.32 [39]~E(x391,x392)+E(f27(x391),f27(x392))
% 1.12/1.32 [40]~E(x401,x402)+E(f39(x401,x403,x404,x405,x406),f39(x402,x403,x404,x405,x406))
% 1.12/1.32 [41]~E(x411,x412)+E(f39(x413,x411,x414,x415,x416),f39(x413,x412,x414,x415,x416))
% 1.12/1.32 [42]~E(x421,x422)+E(f39(x423,x424,x421,x425,x426),f39(x423,x424,x422,x425,x426))
% 1.12/1.32 [43]~E(x431,x432)+E(f39(x433,x434,x435,x431,x436),f39(x433,x434,x435,x432,x436))
% 1.12/1.32 [44]~E(x441,x442)+E(f39(x443,x444,x445,x446,x441),f39(x443,x444,x445,x446,x442))
% 1.12/1.32 [45]~E(x451,x452)+E(f4(x451,x453,x454),f4(x452,x453,x454))
% 1.12/1.32 [46]~E(x461,x462)+E(f4(x463,x461,x464),f4(x463,x462,x464))
% 1.12/1.32 [47]~E(x471,x472)+E(f4(x473,x474,x471),f4(x473,x474,x472))
% 1.12/1.32 [48]~E(x481,x482)+E(f26(x481,x483,x484),f26(x482,x483,x484))
% 1.12/1.32 [49]~E(x491,x492)+E(f26(x493,x491,x494),f26(x493,x492,x494))
% 1.12/1.32 [50]~E(x501,x502)+E(f26(x503,x504,x501),f26(x503,x504,x502))
% 1.12/1.32 [51]~E(x511,x512)+E(f8(x511,x513,x514),f8(x512,x513,x514))
% 1.12/1.32 [52]~E(x521,x522)+E(f8(x523,x521,x524),f8(x523,x522,x524))
% 1.12/1.32 [53]~E(x531,x532)+E(f8(x533,x534,x531),f8(x533,x534,x532))
% 1.12/1.32 [54]~E(x541,x542)+E(f44(x541,x543,x544),f44(x542,x543,x544))
% 1.12/1.32 [55]~E(x551,x552)+E(f44(x553,x551,x554),f44(x553,x552,x554))
% 1.12/1.32 [56]~E(x561,x562)+E(f44(x563,x564,x561),f44(x563,x564,x562))
% 1.12/1.32 [57]~E(x571,x572)+E(f50(x571,x573),f50(x572,x573))
% 1.12/1.32 [58]~E(x581,x582)+E(f50(x583,x581),f50(x583,x582))
% 1.12/1.32 [59]~E(x591,x592)+E(f76(x591,x593,x594,x595,x596),f76(x592,x593,x594,x595,x596))
% 1.12/1.32 [60]~E(x601,x602)+E(f76(x603,x601,x604,x605,x606),f76(x603,x602,x604,x605,x606))
% 1.12/1.32 [61]~E(x611,x612)+E(f76(x613,x614,x611,x615,x616),f76(x613,x614,x612,x615,x616))
% 1.12/1.32 [62]~E(x621,x622)+E(f76(x623,x624,x625,x621,x626),f76(x623,x624,x625,x622,x626))
% 1.12/1.32 [63]~E(x631,x632)+E(f76(x633,x634,x635,x636,x631),f76(x633,x634,x635,x636,x632))
% 1.12/1.32 [64]~E(x641,x642)+E(f15(x641,x643,x644),f15(x642,x643,x644))
% 1.12/1.32 [65]~E(x651,x652)+E(f15(x653,x651,x654),f15(x653,x652,x654))
% 1.12/1.32 [66]~E(x661,x662)+E(f15(x663,x664,x661),f15(x663,x664,x662))
% 1.12/1.32 [67]~E(x671,x672)+E(f118(x671,x673,x674,x675,x676,x677),f118(x672,x673,x674,x675,x676,x677))
% 1.12/1.32 [68]~E(x681,x682)+E(f118(x683,x681,x684,x685,x686,x687),f118(x683,x682,x684,x685,x686,x687))
% 1.12/1.32 [69]~E(x691,x692)+E(f118(x693,x694,x691,x695,x696,x697),f118(x693,x694,x692,x695,x696,x697))
% 1.12/1.32 [70]~E(x701,x702)+E(f118(x703,x704,x705,x701,x706,x707),f118(x703,x704,x705,x702,x706,x707))
% 1.12/1.32 [71]~E(x711,x712)+E(f118(x713,x714,x715,x716,x711,x717),f118(x713,x714,x715,x716,x712,x717))
% 1.12/1.32 [72]~E(x721,x722)+E(f118(x723,x724,x725,x726,x727,x721),f118(x723,x724,x725,x726,x727,x722))
% 1.12/1.32 [73]~E(x731,x732)+E(f61(x731,x733,x734),f61(x732,x733,x734))
% 1.12/1.32 [74]~E(x741,x742)+E(f61(x743,x741,x744),f61(x743,x742,x744))
% 1.12/1.32 [75]~E(x751,x752)+E(f61(x753,x754,x751),f61(x753,x754,x752))
% 1.12/1.32 [76]~E(x761,x762)+E(f139(x761,x763,x764,x765),f139(x762,x763,x764,x765))
% 1.12/1.32 [77]~E(x771,x772)+E(f139(x773,x771,x774,x775),f139(x773,x772,x774,x775))
% 1.12/1.32 [78]~E(x781,x782)+E(f139(x783,x784,x781,x785),f139(x783,x784,x782,x785))
% 1.12/1.32 [79]~E(x791,x792)+E(f139(x793,x794,x795,x791),f139(x793,x794,x795,x792))
% 1.12/1.32 [80]~E(x801,x802)+E(f18(x801,x803,x804,x805,x806),f18(x802,x803,x804,x805,x806))
% 1.12/1.32 [81]~E(x811,x812)+E(f18(x813,x811,x814,x815,x816),f18(x813,x812,x814,x815,x816))
% 1.12/1.32 [82]~E(x821,x822)+E(f18(x823,x824,x821,x825,x826),f18(x823,x824,x822,x825,x826))
% 1.12/1.32 [83]~E(x831,x832)+E(f18(x833,x834,x835,x831,x836),f18(x833,x834,x835,x832,x836))
% 1.12/1.32 [84]~E(x841,x842)+E(f18(x843,x844,x845,x846,x841),f18(x843,x844,x845,x846,x842))
% 1.12/1.32 [85]~E(x851,x852)+E(f45(x851,x853,x854),f45(x852,x853,x854))
% 1.12/1.32 [86]~E(x861,x862)+E(f45(x863,x861,x864),f45(x863,x862,x864))
% 1.12/1.32 [87]~E(x871,x872)+E(f45(x873,x874,x871),f45(x873,x874,x872))
% 1.12/1.32 [88]~E(x881,x882)+E(f17(x881,x883,x884),f17(x882,x883,x884))
% 1.12/1.32 [89]~E(x891,x892)+E(f17(x893,x891,x894),f17(x893,x892,x894))
% 1.12/1.32 [90]~E(x901,x902)+E(f17(x903,x904,x901),f17(x903,x904,x902))
% 1.12/1.32 [91]~E(x911,x912)+E(f6(x911,x913,x914,x915),f6(x912,x913,x914,x915))
% 1.12/1.32 [92]~E(x921,x922)+E(f6(x923,x921,x924,x925),f6(x923,x922,x924,x925))
% 1.12/1.32 [93]~E(x931,x932)+E(f6(x933,x934,x931,x935),f6(x933,x934,x932,x935))
% 1.12/1.32 [94]~E(x941,x942)+E(f6(x943,x944,x945,x941),f6(x943,x944,x945,x942))
% 1.12/1.32 [95]~E(x951,x952)+E(f20(x951,x953,x954,x955),f20(x952,x953,x954,x955))
% 1.12/1.32 [96]~E(x961,x962)+E(f20(x963,x961,x964,x965),f20(x963,x962,x964,x965))
% 1.12/1.32 [97]~E(x971,x972)+E(f20(x973,x974,x971,x975),f20(x973,x974,x972,x975))
% 1.12/1.32 [98]~E(x981,x982)+E(f20(x983,x984,x985,x981),f20(x983,x984,x985,x982))
% 1.12/1.32 [99]~E(x991,x992)+E(f46(x991,x993,x994,x995),f46(x992,x993,x994,x995))
% 1.12/1.32 [100]~E(x1001,x1002)+E(f46(x1003,x1001,x1004,x1005),f46(x1003,x1002,x1004,x1005))
% 1.12/1.32 [101]~E(x1011,x1012)+E(f46(x1013,x1014,x1011,x1015),f46(x1013,x1014,x1012,x1015))
% 1.12/1.32 [102]~E(x1021,x1022)+E(f46(x1023,x1024,x1025,x1021),f46(x1023,x1024,x1025,x1022))
% 1.12/1.32 [103]~E(x1031,x1032)+E(f163(x1031),f163(x1032))
% 1.12/1.32 [104]~E(x1041,x1042)+E(f72(x1041),f72(x1042))
% 1.12/1.32 [105]~E(x1051,x1052)+E(f96(x1051,x1053,x1054,x1055),f96(x1052,x1053,x1054,x1055))
% 1.12/1.32 [106]~E(x1061,x1062)+E(f96(x1063,x1061,x1064,x1065),f96(x1063,x1062,x1064,x1065))
% 1.12/1.32 [107]~E(x1071,x1072)+E(f96(x1073,x1074,x1071,x1075),f96(x1073,x1074,x1072,x1075))
% 1.12/1.32 [108]~E(x1081,x1082)+E(f96(x1083,x1084,x1085,x1081),f96(x1083,x1084,x1085,x1082))
% 1.12/1.32 [109]~E(x1091,x1092)+E(f124(x1091,x1093,x1094),f124(x1092,x1093,x1094))
% 1.12/1.32 [110]~E(x1101,x1102)+E(f124(x1103,x1101,x1104),f124(x1103,x1102,x1104))
% 1.12/1.32 [111]~E(x1111,x1112)+E(f124(x1113,x1114,x1111),f124(x1113,x1114,x1112))
% 1.12/1.32 [112]~E(x1121,x1122)+E(f10(x1121,x1123),f10(x1122,x1123))
% 1.12/1.32 [113]~E(x1131,x1132)+E(f10(x1133,x1131),f10(x1133,x1132))
% 1.12/1.32 [114]~E(x1141,x1142)+E(f133(x1141,x1143,x1144,x1145),f133(x1142,x1143,x1144,x1145))
% 1.12/1.32 [115]~E(x1151,x1152)+E(f133(x1153,x1151,x1154,x1155),f133(x1153,x1152,x1154,x1155))
% 1.12/1.32 [116]~E(x1161,x1162)+E(f133(x1163,x1164,x1161,x1165),f133(x1163,x1164,x1162,x1165))
% 1.12/1.32 [117]~E(x1171,x1172)+E(f133(x1173,x1174,x1175,x1171),f133(x1173,x1174,x1175,x1172))
% 1.12/1.32 [118]~E(x1181,x1182)+E(f40(x1181,x1183,x1184,x1185),f40(x1182,x1183,x1184,x1185))
% 1.12/1.32 [119]~E(x1191,x1192)+E(f40(x1193,x1191,x1194,x1195),f40(x1193,x1192,x1194,x1195))
% 1.12/1.32 [120]~E(x1201,x1202)+E(f40(x1203,x1204,x1201,x1205),f40(x1203,x1204,x1202,x1205))
% 1.12/1.32 [121]~E(x1211,x1212)+E(f40(x1213,x1214,x1215,x1211),f40(x1213,x1214,x1215,x1212))
% 1.12/1.32 [122]~E(x1221,x1222)+E(f138(x1221,x1223),f138(x1222,x1223))
% 1.12/1.32 [123]~E(x1231,x1232)+E(f138(x1233,x1231),f138(x1233,x1232))
% 1.12/1.32 [124]~E(x1241,x1242)+E(f160(x1241,x1243,x1244),f160(x1242,x1243,x1244))
% 1.12/1.32 [125]~E(x1251,x1252)+E(f160(x1253,x1251,x1254),f160(x1253,x1252,x1254))
% 1.12/1.32 [126]~E(x1261,x1262)+E(f160(x1263,x1264,x1261),f160(x1263,x1264,x1262))
% 1.12/1.32 [127]~E(x1271,x1272)+E(f29(x1271),f29(x1272))
% 1.12/1.32 [128]~E(x1281,x1282)+E(f73(x1281,x1283),f73(x1282,x1283))
% 1.12/1.32 [129]~E(x1291,x1292)+E(f73(x1293,x1291),f73(x1293,x1292))
% 1.12/1.32 [130]~E(x1301,x1302)+E(f21(x1301,x1303,x1304,x1305,x1306),f21(x1302,x1303,x1304,x1305,x1306))
% 1.12/1.32 [131]~E(x1311,x1312)+E(f21(x1313,x1311,x1314,x1315,x1316),f21(x1313,x1312,x1314,x1315,x1316))
% 1.12/1.32 [132]~E(x1321,x1322)+E(f21(x1323,x1324,x1321,x1325,x1326),f21(x1323,x1324,x1322,x1325,x1326))
% 1.12/1.32 [133]~E(x1331,x1332)+E(f21(x1333,x1334,x1335,x1331,x1336),f21(x1333,x1334,x1335,x1332,x1336))
% 1.12/1.32 [134]~E(x1341,x1342)+E(f21(x1343,x1344,x1345,x1346,x1341),f21(x1343,x1344,x1345,x1346,x1342))
% 1.12/1.32 [135]~E(x1351,x1352)+E(f81(x1351,x1353,x1354,x1355,x1356,x1357),f81(x1352,x1353,x1354,x1355,x1356,x1357))
% 1.12/1.32 [136]~E(x1361,x1362)+E(f81(x1363,x1361,x1364,x1365,x1366,x1367),f81(x1363,x1362,x1364,x1365,x1366,x1367))
% 1.12/1.32 [137]~E(x1371,x1372)+E(f81(x1373,x1374,x1371,x1375,x1376,x1377),f81(x1373,x1374,x1372,x1375,x1376,x1377))
% 1.12/1.32 [138]~E(x1381,x1382)+E(f81(x1383,x1384,x1385,x1381,x1386,x1387),f81(x1383,x1384,x1385,x1382,x1386,x1387))
% 1.12/1.32 [139]~E(x1391,x1392)+E(f81(x1393,x1394,x1395,x1396,x1391,x1397),f81(x1393,x1394,x1395,x1396,x1392,x1397))
% 1.12/1.32 [140]~E(x1401,x1402)+E(f81(x1403,x1404,x1405,x1406,x1407,x1401),f81(x1403,x1404,x1405,x1406,x1407,x1402))
% 1.12/1.32 [141]~E(x1411,x1412)+E(f98(x1411,x1413),f98(x1412,x1413))
% 1.12/1.32 [142]~E(x1421,x1422)+E(f98(x1423,x1421),f98(x1423,x1422))
% 1.12/1.32 [143]~E(x1431,x1432)+E(f16(x1431,x1433,x1434),f16(x1432,x1433,x1434))
% 1.12/1.32 [144]~E(x1441,x1442)+E(f16(x1443,x1441,x1444),f16(x1443,x1442,x1444))
% 1.12/1.32 [145]~E(x1451,x1452)+E(f16(x1453,x1454,x1451),f16(x1453,x1454,x1452))
% 1.12/1.32 [146]~E(x1461,x1462)+E(f131(x1461,x1463,x1464,x1465,x1466,x1467,x1468),f131(x1462,x1463,x1464,x1465,x1466,x1467,x1468))
% 1.12/1.32 [147]~E(x1471,x1472)+E(f131(x1473,x1471,x1474,x1475,x1476,x1477,x1478),f131(x1473,x1472,x1474,x1475,x1476,x1477,x1478))
% 1.12/1.32 [148]~E(x1481,x1482)+E(f131(x1483,x1484,x1481,x1485,x1486,x1487,x1488),f131(x1483,x1484,x1482,x1485,x1486,x1487,x1488))
% 1.12/1.32 [149]~E(x1491,x1492)+E(f131(x1493,x1494,x1495,x1491,x1496,x1497,x1498),f131(x1493,x1494,x1495,x1492,x1496,x1497,x1498))
% 1.12/1.32 [150]~E(x1501,x1502)+E(f131(x1503,x1504,x1505,x1506,x1501,x1507,x1508),f131(x1503,x1504,x1505,x1506,x1502,x1507,x1508))
% 1.12/1.32 [151]~E(x1511,x1512)+E(f131(x1513,x1514,x1515,x1516,x1517,x1511,x1518),f131(x1513,x1514,x1515,x1516,x1517,x1512,x1518))
% 1.12/1.32 [152]~E(x1521,x1522)+E(f131(x1523,x1524,x1525,x1526,x1527,x1528,x1521),f131(x1523,x1524,x1525,x1526,x1527,x1528,x1522))
% 1.12/1.32 [153]~E(x1531,x1532)+E(f22(x1531,x1533,x1534,x1535),f22(x1532,x1533,x1534,x1535))
% 1.12/1.32 [154]~E(x1541,x1542)+E(f22(x1543,x1541,x1544,x1545),f22(x1543,x1542,x1544,x1545))
% 1.12/1.32 [155]~E(x1551,x1552)+E(f22(x1553,x1554,x1551,x1555),f22(x1553,x1554,x1552,x1555))
% 1.12/1.32 [156]~E(x1561,x1562)+E(f22(x1563,x1564,x1565,x1561),f22(x1563,x1564,x1565,x1562))
% 1.12/1.32 [157]~E(x1571,x1572)+E(f91(x1571,x1573,x1574),f91(x1572,x1573,x1574))
% 1.12/1.32 [158]~E(x1581,x1582)+E(f91(x1583,x1581,x1584),f91(x1583,x1582,x1584))
% 1.12/1.32 [159]~E(x1591,x1592)+E(f91(x1593,x1594,x1591),f91(x1593,x1594,x1592))
% 1.12/1.32 [160]~E(x1601,x1602)+E(f95(x1601,x1603,x1604,x1605),f95(x1602,x1603,x1604,x1605))
% 1.12/1.32 [161]~E(x1611,x1612)+E(f95(x1613,x1611,x1614,x1615),f95(x1613,x1612,x1614,x1615))
% 1.12/1.32 [162]~E(x1621,x1622)+E(f95(x1623,x1624,x1621,x1625),f95(x1623,x1624,x1622,x1625))
% 1.12/1.32 [163]~E(x1631,x1632)+E(f95(x1633,x1634,x1635,x1631),f95(x1633,x1634,x1635,x1632))
% 1.12/1.32 [164]~E(x1641,x1642)+E(f23(x1641,x1643,x1644,x1645),f23(x1642,x1643,x1644,x1645))
% 1.12/1.32 [165]~E(x1651,x1652)+E(f23(x1653,x1651,x1654,x1655),f23(x1653,x1652,x1654,x1655))
% 1.12/1.32 [166]~E(x1661,x1662)+E(f23(x1663,x1664,x1661,x1665),f23(x1663,x1664,x1662,x1665))
% 1.12/1.32 [167]~E(x1671,x1672)+E(f23(x1673,x1674,x1675,x1671),f23(x1673,x1674,x1675,x1672))
% 1.12/1.32 [168]~E(x1681,x1682)+E(f75(x1681),f75(x1682))
% 1.12/1.32 [169]~E(x1691,x1692)+E(f69(x1691,x1693,x1694,x1695,x1696),f69(x1692,x1693,x1694,x1695,x1696))
% 1.12/1.33 [170]~E(x1701,x1702)+E(f69(x1703,x1701,x1704,x1705,x1706),f69(x1703,x1702,x1704,x1705,x1706))
% 1.12/1.33 [171]~E(x1711,x1712)+E(f69(x1713,x1714,x1711,x1715,x1716),f69(x1713,x1714,x1712,x1715,x1716))
% 1.12/1.33 [172]~E(x1721,x1722)+E(f69(x1723,x1724,x1725,x1721,x1726),f69(x1723,x1724,x1725,x1722,x1726))
% 1.12/1.33 [173]~E(x1731,x1732)+E(f69(x1733,x1734,x1735,x1736,x1731),f69(x1733,x1734,x1735,x1736,x1732))
% 1.12/1.33 [174]~E(x1741,x1742)+E(f58(x1741,x1743),f58(x1742,x1743))
% 1.12/1.33 [175]~E(x1751,x1752)+E(f58(x1753,x1751),f58(x1753,x1752))
% 1.12/1.33 [176]~E(x1761,x1762)+E(f70(x1761,x1763,x1764,x1765,x1766),f70(x1762,x1763,x1764,x1765,x1766))
% 1.12/1.33 [177]~E(x1771,x1772)+E(f70(x1773,x1771,x1774,x1775,x1776),f70(x1773,x1772,x1774,x1775,x1776))
% 1.12/1.33 [178]~E(x1781,x1782)+E(f70(x1783,x1784,x1781,x1785,x1786),f70(x1783,x1784,x1782,x1785,x1786))
% 1.12/1.33 [179]~E(x1791,x1792)+E(f70(x1793,x1794,x1795,x1791,x1796),f70(x1793,x1794,x1795,x1792,x1796))
% 1.12/1.33 [180]~E(x1801,x1802)+E(f70(x1803,x1804,x1805,x1806,x1801),f70(x1803,x1804,x1805,x1806,x1802))
% 1.12/1.33 [181]~E(x1811,x1812)+E(f155(x1811,x1813,x1814,x1815,x1816),f155(x1812,x1813,x1814,x1815,x1816))
% 1.12/1.33 [182]~E(x1821,x1822)+E(f155(x1823,x1821,x1824,x1825,x1826),f155(x1823,x1822,x1824,x1825,x1826))
% 1.12/1.33 [183]~E(x1831,x1832)+E(f155(x1833,x1834,x1831,x1835,x1836),f155(x1833,x1834,x1832,x1835,x1836))
% 1.12/1.33 [184]~E(x1841,x1842)+E(f155(x1843,x1844,x1845,x1841,x1846),f155(x1843,x1844,x1845,x1842,x1846))
% 1.12/1.33 [185]~E(x1851,x1852)+E(f155(x1853,x1854,x1855,x1856,x1851),f155(x1853,x1854,x1855,x1856,x1852))
% 1.12/1.33 [186]~E(x1861,x1862)+E(f11(x1861,x1863),f11(x1862,x1863))
% 1.12/1.33 [187]~E(x1871,x1872)+E(f11(x1873,x1871),f11(x1873,x1872))
% 1.12/1.33 [188]~E(x1881,x1882)+E(f90(x1881,x1883),f90(x1882,x1883))
% 1.12/1.33 [189]~E(x1891,x1892)+E(f90(x1893,x1891),f90(x1893,x1892))
% 1.12/1.33 [190]~E(x1901,x1902)+E(f119(x1901,x1903,x1904),f119(x1902,x1903,x1904))
% 1.12/1.33 [191]~E(x1911,x1912)+E(f119(x1913,x1911,x1914),f119(x1913,x1912,x1914))
% 1.12/1.33 [192]~E(x1921,x1922)+E(f119(x1923,x1924,x1921),f119(x1923,x1924,x1922))
% 1.12/1.33 [193]~E(x1931,x1932)+E(f41(x1931,x1933,x1934,x1935),f41(x1932,x1933,x1934,x1935))
% 1.12/1.33 [194]~E(x1941,x1942)+E(f41(x1943,x1941,x1944,x1945),f41(x1943,x1942,x1944,x1945))
% 1.12/1.33 [195]~E(x1951,x1952)+E(f41(x1953,x1954,x1951,x1955),f41(x1953,x1954,x1952,x1955))
% 1.12/1.33 [196]~E(x1961,x1962)+E(f41(x1963,x1964,x1965,x1961),f41(x1963,x1964,x1965,x1962))
% 1.12/1.33 [197]~E(x1971,x1972)+E(f78(x1971),f78(x1972))
% 1.12/1.33 [198]~E(x1981,x1982)+E(f48(x1981,x1983),f48(x1982,x1983))
% 1.12/1.33 [199]~E(x1991,x1992)+E(f48(x1993,x1991),f48(x1993,x1992))
% 1.12/1.33 [200]~E(x2001,x2002)+E(f49(x2001,x2003),f49(x2002,x2003))
% 1.12/1.33 [201]~E(x2011,x2012)+E(f49(x2013,x2011),f49(x2013,x2012))
% 1.12/1.33 [202]~E(x2021,x2022)+E(f68(x2021,x2023,x2024,x2025),f68(x2022,x2023,x2024,x2025))
% 1.12/1.33 [203]~E(x2031,x2032)+E(f68(x2033,x2031,x2034,x2035),f68(x2033,x2032,x2034,x2035))
% 1.12/1.33 [204]~E(x2041,x2042)+E(f68(x2043,x2044,x2041,x2045),f68(x2043,x2044,x2042,x2045))
% 1.12/1.33 [205]~E(x2051,x2052)+E(f68(x2053,x2054,x2055,x2051),f68(x2053,x2054,x2055,x2052))
% 1.12/1.33 [206]~E(x2061,x2062)+E(f141(x2061,x2063,x2064,x2065,x2066,x2067),f141(x2062,x2063,x2064,x2065,x2066,x2067))
% 1.12/1.33 [207]~E(x2071,x2072)+E(f141(x2073,x2071,x2074,x2075,x2076,x2077),f141(x2073,x2072,x2074,x2075,x2076,x2077))
% 1.12/1.33 [208]~E(x2081,x2082)+E(f141(x2083,x2084,x2081,x2085,x2086,x2087),f141(x2083,x2084,x2082,x2085,x2086,x2087))
% 1.12/1.33 [209]~E(x2091,x2092)+E(f141(x2093,x2094,x2095,x2091,x2096,x2097),f141(x2093,x2094,x2095,x2092,x2096,x2097))
% 1.12/1.33 [210]~E(x2101,x2102)+E(f141(x2103,x2104,x2105,x2106,x2101,x2107),f141(x2103,x2104,x2105,x2106,x2102,x2107))
% 1.12/1.33 [211]~E(x2111,x2112)+E(f141(x2113,x2114,x2115,x2116,x2117,x2111),f141(x2113,x2114,x2115,x2116,x2117,x2112))
% 1.12/1.33 [212]~E(x2121,x2122)+E(f93(x2121,x2123,x2124,x2125),f93(x2122,x2123,x2124,x2125))
% 1.12/1.33 [213]~E(x2131,x2132)+E(f93(x2133,x2131,x2134,x2135),f93(x2133,x2132,x2134,x2135))
% 1.12/1.33 [214]~E(x2141,x2142)+E(f93(x2143,x2144,x2141,x2145),f93(x2143,x2144,x2142,x2145))
% 1.12/1.33 [215]~E(x2151,x2152)+E(f93(x2153,x2154,x2155,x2151),f93(x2153,x2154,x2155,x2152))
% 1.12/1.33 [216]~E(x2161,x2162)+E(f167(x2161,x2163,x2164,x2165,x2166),f167(x2162,x2163,x2164,x2165,x2166))
% 1.12/1.33 [217]~E(x2171,x2172)+E(f167(x2173,x2171,x2174,x2175,x2176),f167(x2173,x2172,x2174,x2175,x2176))
% 1.12/1.33 [218]~E(x2181,x2182)+E(f167(x2183,x2184,x2181,x2185,x2186),f167(x2183,x2184,x2182,x2185,x2186))
% 1.12/1.33 [219]~E(x2191,x2192)+E(f167(x2193,x2194,x2195,x2191,x2196),f167(x2193,x2194,x2195,x2192,x2196))
% 1.12/1.33 [220]~E(x2201,x2202)+E(f167(x2203,x2204,x2205,x2206,x2201),f167(x2203,x2204,x2205,x2206,x2202))
% 1.12/1.33 [221]~E(x2211,x2212)+E(f94(x2211,x2213,x2214,x2215,x2216,x2217,x2218),f94(x2212,x2213,x2214,x2215,x2216,x2217,x2218))
% 1.12/1.33 [222]~E(x2221,x2222)+E(f94(x2223,x2221,x2224,x2225,x2226,x2227,x2228),f94(x2223,x2222,x2224,x2225,x2226,x2227,x2228))
% 1.12/1.33 [223]~E(x2231,x2232)+E(f94(x2233,x2234,x2231,x2235,x2236,x2237,x2238),f94(x2233,x2234,x2232,x2235,x2236,x2237,x2238))
% 1.12/1.33 [224]~E(x2241,x2242)+E(f94(x2243,x2244,x2245,x2241,x2246,x2247,x2248),f94(x2243,x2244,x2245,x2242,x2246,x2247,x2248))
% 1.12/1.33 [225]~E(x2251,x2252)+E(f94(x2253,x2254,x2255,x2256,x2251,x2257,x2258),f94(x2253,x2254,x2255,x2256,x2252,x2257,x2258))
% 1.12/1.33 [226]~E(x2261,x2262)+E(f94(x2263,x2264,x2265,x2266,x2267,x2261,x2268),f94(x2263,x2264,x2265,x2266,x2267,x2262,x2268))
% 1.12/1.33 [227]~E(x2271,x2272)+E(f94(x2273,x2274,x2275,x2276,x2277,x2278,x2271),f94(x2273,x2274,x2275,x2276,x2277,x2278,x2272))
% 1.12/1.33 [228]~E(x2281,x2282)+E(f117(x2281,x2283,x2284,x2285,x2286,x2287,x2288,x2289),f117(x2282,x2283,x2284,x2285,x2286,x2287,x2288,x2289))
% 1.12/1.33 [229]~E(x2291,x2292)+E(f117(x2293,x2291,x2294,x2295,x2296,x2297,x2298,x2299),f117(x2293,x2292,x2294,x2295,x2296,x2297,x2298,x2299))
% 1.12/1.33 [230]~E(x2301,x2302)+E(f117(x2303,x2304,x2301,x2305,x2306,x2307,x2308,x2309),f117(x2303,x2304,x2302,x2305,x2306,x2307,x2308,x2309))
% 1.12/1.33 [231]~E(x2311,x2312)+E(f117(x2313,x2314,x2315,x2311,x2316,x2317,x2318,x2319),f117(x2313,x2314,x2315,x2312,x2316,x2317,x2318,x2319))
% 1.12/1.33 [232]~E(x2321,x2322)+E(f117(x2323,x2324,x2325,x2326,x2321,x2327,x2328,x2329),f117(x2323,x2324,x2325,x2326,x2322,x2327,x2328,x2329))
% 1.12/1.33 [233]~E(x2331,x2332)+E(f117(x2333,x2334,x2335,x2336,x2337,x2331,x2338,x2339),f117(x2333,x2334,x2335,x2336,x2337,x2332,x2338,x2339))
% 1.12/1.33 [234]~E(x2341,x2342)+E(f117(x2343,x2344,x2345,x2346,x2347,x2348,x2341,x2349),f117(x2343,x2344,x2345,x2346,x2347,x2348,x2342,x2349))
% 1.12/1.33 [235]~E(x2351,x2352)+E(f117(x2353,x2354,x2355,x2356,x2357,x2358,x2359,x2351),f117(x2353,x2354,x2355,x2356,x2357,x2358,x2359,x2352))
% 1.12/1.33 [236]~E(x2361,x2362)+E(f123(x2361,x2363,x2364,x2365),f123(x2362,x2363,x2364,x2365))
% 1.12/1.33 [237]~E(x2371,x2372)+E(f123(x2373,x2371,x2374,x2375),f123(x2373,x2372,x2374,x2375))
% 1.12/1.33 [238]~E(x2381,x2382)+E(f123(x2383,x2384,x2381,x2385),f123(x2383,x2384,x2382,x2385))
% 1.12/1.33 [239]~E(x2391,x2392)+E(f123(x2393,x2394,x2395,x2391),f123(x2393,x2394,x2395,x2392))
% 1.12/1.33 [240]~E(x2401,x2402)+E(f38(x2401,x2403),f38(x2402,x2403))
% 1.12/1.33 [241]~E(x2411,x2412)+E(f38(x2413,x2411),f38(x2413,x2412))
% 1.12/1.33 [242]~E(x2421,x2422)+E(f85(x2421,x2423,x2424),f85(x2422,x2423,x2424))
% 1.12/1.33 [243]~E(x2431,x2432)+E(f85(x2433,x2431,x2434),f85(x2433,x2432,x2434))
% 1.12/1.33 [244]~E(x2441,x2442)+E(f85(x2443,x2444,x2441),f85(x2443,x2444,x2442))
% 1.12/1.33 [245]~E(x2451,x2452)+E(f63(x2451,x2453,x2454,x2455),f63(x2452,x2453,x2454,x2455))
% 1.12/1.33 [246]~E(x2461,x2462)+E(f63(x2463,x2461,x2464,x2465),f63(x2463,x2462,x2464,x2465))
% 1.12/1.33 [247]~E(x2471,x2472)+E(f63(x2473,x2474,x2471,x2475),f63(x2473,x2474,x2472,x2475))
% 1.12/1.33 [248]~E(x2481,x2482)+E(f63(x2483,x2484,x2485,x2481),f63(x2483,x2484,x2485,x2482))
% 1.12/1.33 [249]~E(x2491,x2492)+E(f158(x2491,x2493,x2494),f158(x2492,x2493,x2494))
% 1.12/1.33 [250]~E(x2501,x2502)+E(f158(x2503,x2501,x2504),f158(x2503,x2502,x2504))
% 1.12/1.33 [251]~E(x2511,x2512)+E(f158(x2513,x2514,x2511),f158(x2513,x2514,x2512))
% 1.12/1.33 [252]~E(x2521,x2522)+E(f154(x2521,x2523,x2524,x2525,x2526),f154(x2522,x2523,x2524,x2525,x2526))
% 1.12/1.33 [253]~E(x2531,x2532)+E(f154(x2533,x2531,x2534,x2535,x2536),f154(x2533,x2532,x2534,x2535,x2536))
% 1.12/1.33 [254]~E(x2541,x2542)+E(f154(x2543,x2544,x2541,x2545,x2546),f154(x2543,x2544,x2542,x2545,x2546))
% 1.12/1.33 [255]~E(x2551,x2552)+E(f154(x2553,x2554,x2555,x2551,x2556),f154(x2553,x2554,x2555,x2552,x2556))
% 1.12/1.33 [256]~E(x2561,x2562)+E(f154(x2563,x2564,x2565,x2566,x2561),f154(x2563,x2564,x2565,x2566,x2562))
% 1.12/1.33 [257]~E(x2571,x2572)+E(f104(x2571,x2573,x2574,x2575,x2576),f104(x2572,x2573,x2574,x2575,x2576))
% 1.12/1.33 [258]~E(x2581,x2582)+E(f104(x2583,x2581,x2584,x2585,x2586),f104(x2583,x2582,x2584,x2585,x2586))
% 1.12/1.33 [259]~E(x2591,x2592)+E(f104(x2593,x2594,x2591,x2595,x2596),f104(x2593,x2594,x2592,x2595,x2596))
% 1.12/1.33 [260]~E(x2601,x2602)+E(f104(x2603,x2604,x2605,x2601,x2606),f104(x2603,x2604,x2605,x2602,x2606))
% 1.12/1.33 [261]~E(x2611,x2612)+E(f104(x2613,x2614,x2615,x2616,x2611),f104(x2613,x2614,x2615,x2616,x2612))
% 1.12/1.33 [262]~E(x2621,x2622)+E(f129(x2621,x2623,x2624,x2625,x2626),f129(x2622,x2623,x2624,x2625,x2626))
% 1.12/1.33 [263]~E(x2631,x2632)+E(f129(x2633,x2631,x2634,x2635,x2636),f129(x2633,x2632,x2634,x2635,x2636))
% 1.12/1.33 [264]~E(x2641,x2642)+E(f129(x2643,x2644,x2641,x2645,x2646),f129(x2643,x2644,x2642,x2645,x2646))
% 1.12/1.33 [265]~E(x2651,x2652)+E(f129(x2653,x2654,x2655,x2651,x2656),f129(x2653,x2654,x2655,x2652,x2656))
% 1.12/1.33 [266]~E(x2661,x2662)+E(f129(x2663,x2664,x2665,x2666,x2661),f129(x2663,x2664,x2665,x2666,x2662))
% 1.12/1.33 [267]~E(x2671,x2672)+E(f57(x2671,x2673),f57(x2672,x2673))
% 1.12/1.33 [268]~E(x2681,x2682)+E(f57(x2683,x2681),f57(x2683,x2682))
% 1.12/1.33 [269]~E(x2691,x2692)+E(f136(x2691,x2693,x2694,x2695,x2696),f136(x2692,x2693,x2694,x2695,x2696))
% 1.12/1.33 [270]~E(x2701,x2702)+E(f136(x2703,x2701,x2704,x2705,x2706),f136(x2703,x2702,x2704,x2705,x2706))
% 1.12/1.33 [271]~E(x2711,x2712)+E(f136(x2713,x2714,x2711,x2715,x2716),f136(x2713,x2714,x2712,x2715,x2716))
% 1.12/1.33 [272]~E(x2721,x2722)+E(f136(x2723,x2724,x2725,x2721,x2726),f136(x2723,x2724,x2725,x2722,x2726))
% 1.12/1.33 [273]~E(x2731,x2732)+E(f136(x2733,x2734,x2735,x2736,x2731),f136(x2733,x2734,x2735,x2736,x2732))
% 1.12/1.33 [274]~E(x2741,x2742)+E(f51(x2741,x2743,x2744,x2745),f51(x2742,x2743,x2744,x2745))
% 1.12/1.33 [275]~E(x2751,x2752)+E(f51(x2753,x2751,x2754,x2755),f51(x2753,x2752,x2754,x2755))
% 1.12/1.33 [276]~E(x2761,x2762)+E(f51(x2763,x2764,x2761,x2765),f51(x2763,x2764,x2762,x2765))
% 1.12/1.33 [277]~E(x2771,x2772)+E(f51(x2773,x2774,x2775,x2771),f51(x2773,x2774,x2775,x2772))
% 1.12/1.33 [278]~E(x2781,x2782)+E(f126(x2781,x2783),f126(x2782,x2783))
% 1.12/1.33 [279]~E(x2791,x2792)+E(f126(x2793,x2791),f126(x2793,x2792))
% 1.12/1.33 [280]~E(x2801,x2802)+E(f130(x2801,x2803,x2804,x2805),f130(x2802,x2803,x2804,x2805))
% 1.12/1.33 [281]~E(x2811,x2812)+E(f130(x2813,x2811,x2814,x2815),f130(x2813,x2812,x2814,x2815))
% 1.12/1.33 [282]~E(x2821,x2822)+E(f130(x2823,x2824,x2821,x2825),f130(x2823,x2824,x2822,x2825))
% 1.12/1.33 [283]~E(x2831,x2832)+E(f130(x2833,x2834,x2835,x2831),f130(x2833,x2834,x2835,x2832))
% 1.12/1.33 [284]~E(x2841,x2842)+E(f66(x2841,x2843,x2844,x2845),f66(x2842,x2843,x2844,x2845))
% 1.12/1.33 [285]~E(x2851,x2852)+E(f66(x2853,x2851,x2854,x2855),f66(x2853,x2852,x2854,x2855))
% 1.12/1.33 [286]~E(x2861,x2862)+E(f66(x2863,x2864,x2861,x2865),f66(x2863,x2864,x2862,x2865))
% 1.12/1.33 [287]~E(x2871,x2872)+E(f66(x2873,x2874,x2875,x2871),f66(x2873,x2874,x2875,x2872))
% 1.12/1.33 [288]~E(x2881,x2882)+E(f36(x2881,x2883,x2884,x2885,x2886),f36(x2882,x2883,x2884,x2885,x2886))
% 1.12/1.33 [289]~E(x2891,x2892)+E(f36(x2893,x2891,x2894,x2895,x2896),f36(x2893,x2892,x2894,x2895,x2896))
% 1.12/1.33 [290]~E(x2901,x2902)+E(f36(x2903,x2904,x2901,x2905,x2906),f36(x2903,x2904,x2902,x2905,x2906))
% 1.12/1.33 [291]~E(x2911,x2912)+E(f36(x2913,x2914,x2915,x2911,x2916),f36(x2913,x2914,x2915,x2912,x2916))
% 1.12/1.33 [292]~E(x2921,x2922)+E(f36(x2923,x2924,x2925,x2926,x2921),f36(x2923,x2924,x2925,x2926,x2922))
% 1.12/1.33 [293]~E(x2931,x2932)+E(f111(x2931,x2933,x2934,x2935,x2936,x2937,x2938),f111(x2932,x2933,x2934,x2935,x2936,x2937,x2938))
% 1.12/1.33 [294]~E(x2941,x2942)+E(f111(x2943,x2941,x2944,x2945,x2946,x2947,x2948),f111(x2943,x2942,x2944,x2945,x2946,x2947,x2948))
% 1.12/1.33 [295]~E(x2951,x2952)+E(f111(x2953,x2954,x2951,x2955,x2956,x2957,x2958),f111(x2953,x2954,x2952,x2955,x2956,x2957,x2958))
% 1.12/1.33 [296]~E(x2961,x2962)+E(f111(x2963,x2964,x2965,x2961,x2966,x2967,x2968),f111(x2963,x2964,x2965,x2962,x2966,x2967,x2968))
% 1.12/1.33 [297]~E(x2971,x2972)+E(f111(x2973,x2974,x2975,x2976,x2971,x2977,x2978),f111(x2973,x2974,x2975,x2976,x2972,x2977,x2978))
% 1.12/1.33 [298]~E(x2981,x2982)+E(f111(x2983,x2984,x2985,x2986,x2987,x2981,x2988),f111(x2983,x2984,x2985,x2986,x2987,x2982,x2988))
% 1.12/1.33 [299]~E(x2991,x2992)+E(f111(x2993,x2994,x2995,x2996,x2997,x2998,x2991),f111(x2993,x2994,x2995,x2996,x2997,x2998,x2992))
% 1.12/1.33 [300]~E(x3001,x3002)+E(f99(x3001,x3003,x3004,x3005,x3006),f99(x3002,x3003,x3004,x3005,x3006))
% 1.12/1.33 [301]~E(x3011,x3012)+E(f99(x3013,x3011,x3014,x3015,x3016),f99(x3013,x3012,x3014,x3015,x3016))
% 1.12/1.33 [302]~E(x3021,x3022)+E(f99(x3023,x3024,x3021,x3025,x3026),f99(x3023,x3024,x3022,x3025,x3026))
% 1.12/1.33 [303]~E(x3031,x3032)+E(f99(x3033,x3034,x3035,x3031,x3036),f99(x3033,x3034,x3035,x3032,x3036))
% 1.12/1.33 [304]~E(x3041,x3042)+E(f99(x3043,x3044,x3045,x3046,x3041),f99(x3043,x3044,x3045,x3046,x3042))
% 1.12/1.33 [305]~E(x3051,x3052)+E(f79(x3051),f79(x3052))
% 1.12/1.33 [306]~E(x3061,x3062)+E(f116(x3061,x3063,x3064,x3065,x3066,x3067,x3068,x3069),f116(x3062,x3063,x3064,x3065,x3066,x3067,x3068,x3069))
% 1.12/1.33 [307]~E(x3071,x3072)+E(f116(x3073,x3071,x3074,x3075,x3076,x3077,x3078,x3079),f116(x3073,x3072,x3074,x3075,x3076,x3077,x3078,x3079))
% 1.12/1.33 [308]~E(x3081,x3082)+E(f116(x3083,x3084,x3081,x3085,x3086,x3087,x3088,x3089),f116(x3083,x3084,x3082,x3085,x3086,x3087,x3088,x3089))
% 1.12/1.33 [309]~E(x3091,x3092)+E(f116(x3093,x3094,x3095,x3091,x3096,x3097,x3098,x3099),f116(x3093,x3094,x3095,x3092,x3096,x3097,x3098,x3099))
% 1.12/1.33 [310]~E(x3101,x3102)+E(f116(x3103,x3104,x3105,x3106,x3101,x3107,x3108,x3109),f116(x3103,x3104,x3105,x3106,x3102,x3107,x3108,x3109))
% 1.12/1.33 [311]~E(x3111,x3112)+E(f116(x3113,x3114,x3115,x3116,x3117,x3111,x3118,x3119),f116(x3113,x3114,x3115,x3116,x3117,x3112,x3118,x3119))
% 1.12/1.33 [312]~E(x3121,x3122)+E(f116(x3123,x3124,x3125,x3126,x3127,x3128,x3121,x3129),f116(x3123,x3124,x3125,x3126,x3127,x3128,x3122,x3129))
% 1.12/1.33 [313]~E(x3131,x3132)+E(f116(x3133,x3134,x3135,x3136,x3137,x3138,x3139,x3131),f116(x3133,x3134,x3135,x3136,x3137,x3138,x3139,x3132))
% 1.12/1.33 [314]~E(x3141,x3142)+E(f101(x3141,x3143,x3144,x3145,x3146),f101(x3142,x3143,x3144,x3145,x3146))
% 1.12/1.33 [315]~E(x3151,x3152)+E(f101(x3153,x3151,x3154,x3155,x3156),f101(x3153,x3152,x3154,x3155,x3156))
% 1.12/1.33 [316]~E(x3161,x3162)+E(f101(x3163,x3164,x3161,x3165,x3166),f101(x3163,x3164,x3162,x3165,x3166))
% 1.12/1.33 [317]~E(x3171,x3172)+E(f101(x3173,x3174,x3175,x3171,x3176),f101(x3173,x3174,x3175,x3172,x3176))
% 1.12/1.33 [318]~E(x3181,x3182)+E(f101(x3183,x3184,x3185,x3186,x3181),f101(x3183,x3184,x3185,x3186,x3182))
% 1.12/1.33 [319]~E(x3191,x3192)+E(f19(x3191,x3193,x3194),f19(x3192,x3193,x3194))
% 1.12/1.33 [320]~E(x3201,x3202)+E(f19(x3203,x3201,x3204),f19(x3203,x3202,x3204))
% 1.12/1.33 [321]~E(x3211,x3212)+E(f19(x3213,x3214,x3211),f19(x3213,x3214,x3212))
% 1.12/1.33 [322]~E(x3221,x3222)+E(f65(x3221,x3223,x3224,x3225),f65(x3222,x3223,x3224,x3225))
% 1.12/1.33 [323]~E(x3231,x3232)+E(f65(x3233,x3231,x3234,x3235),f65(x3233,x3232,x3234,x3235))
% 1.12/1.33 [324]~E(x3241,x3242)+E(f65(x3243,x3244,x3241,x3245),f65(x3243,x3244,x3242,x3245))
% 1.12/1.33 [325]~E(x3251,x3252)+E(f65(x3253,x3254,x3255,x3251),f65(x3253,x3254,x3255,x3252))
% 1.12/1.33 [326]~E(x3261,x3262)+E(f32(x3261,x3263,x3264,x3265),f32(x3262,x3263,x3264,x3265))
% 1.12/1.33 [327]~E(x3271,x3272)+E(f32(x3273,x3271,x3274,x3275),f32(x3273,x3272,x3274,x3275))
% 1.12/1.33 [328]~E(x3281,x3282)+E(f32(x3283,x3284,x3281,x3285),f32(x3283,x3284,x3282,x3285))
% 1.12/1.33 [329]~E(x3291,x3292)+E(f32(x3293,x3294,x3295,x3291),f32(x3293,x3294,x3295,x3292))
% 1.12/1.33 [330]~E(x3301,x3302)+E(f122(x3301,x3303,x3304),f122(x3302,x3303,x3304))
% 1.12/1.33 [331]~E(x3311,x3312)+E(f122(x3313,x3311,x3314),f122(x3313,x3312,x3314))
% 1.12/1.33 [332]~E(x3321,x3322)+E(f122(x3323,x3324,x3321),f122(x3323,x3324,x3322))
% 1.12/1.33 [333]~E(x3331,x3332)+E(f162(x3331,x3333,x3334),f162(x3332,x3333,x3334))
% 1.12/1.33 [334]~E(x3341,x3342)+E(f162(x3343,x3341,x3344),f162(x3343,x3342,x3344))
% 1.12/1.33 [335]~E(x3351,x3352)+E(f162(x3353,x3354,x3351),f162(x3353,x3354,x3352))
% 1.12/1.33 [336]~E(x3361,x3362)+E(f97(x3361,x3363,x3364),f97(x3362,x3363,x3364))
% 1.12/1.33 [337]~E(x3371,x3372)+E(f97(x3373,x3371,x3374),f97(x3373,x3372,x3374))
% 1.12/1.33 [338]~E(x3381,x3382)+E(f97(x3383,x3384,x3381),f97(x3383,x3384,x3382))
% 1.12/1.33 [339]~E(x3391,x3392)+E(f157(x3391,x3393),f157(x3392,x3393))
% 1.12/1.33 [340]~E(x3401,x3402)+E(f157(x3403,x3401),f157(x3403,x3402))
% 1.12/1.33 [341]~E(x3411,x3412)+E(f168(x3411,x3413,x3414,x3415,x3416),f168(x3412,x3413,x3414,x3415,x3416))
% 1.12/1.33 [342]~E(x3421,x3422)+E(f168(x3423,x3421,x3424,x3425,x3426),f168(x3423,x3422,x3424,x3425,x3426))
% 1.12/1.33 [343]~E(x3431,x3432)+E(f168(x3433,x3434,x3431,x3435,x3436),f168(x3433,x3434,x3432,x3435,x3436))
% 1.12/1.33 [344]~E(x3441,x3442)+E(f168(x3443,x3444,x3445,x3441,x3446),f168(x3443,x3444,x3445,x3442,x3446))
% 1.12/1.33 [345]~E(x3451,x3452)+E(f168(x3453,x3454,x3455,x3456,x3451),f168(x3453,x3454,x3455,x3456,x3452))
% 1.12/1.33 [346]~E(x3461,x3462)+E(f62(x3461,x3463,x3464,x3465),f62(x3462,x3463,x3464,x3465))
% 1.12/1.33 [347]~E(x3471,x3472)+E(f62(x3473,x3471,x3474,x3475),f62(x3473,x3472,x3474,x3475))
% 1.12/1.33 [348]~E(x3481,x3482)+E(f62(x3483,x3484,x3481,x3485),f62(x3483,x3484,x3482,x3485))
% 1.12/1.33 [349]~E(x3491,x3492)+E(f62(x3493,x3494,x3495,x3491),f62(x3493,x3494,x3495,x3492))
% 1.12/1.33 [350]~E(x3501,x3502)+E(f112(x3501,x3503,x3504,x3505,x3506,x3507,x3508,x3509),f112(x3502,x3503,x3504,x3505,x3506,x3507,x3508,x3509))
% 1.12/1.33 [351]~E(x3511,x3512)+E(f112(x3513,x3511,x3514,x3515,x3516,x3517,x3518,x3519),f112(x3513,x3512,x3514,x3515,x3516,x3517,x3518,x3519))
% 1.12/1.33 [352]~E(x3521,x3522)+E(f112(x3523,x3524,x3521,x3525,x3526,x3527,x3528,x3529),f112(x3523,x3524,x3522,x3525,x3526,x3527,x3528,x3529))
% 1.12/1.33 [353]~E(x3531,x3532)+E(f112(x3533,x3534,x3535,x3531,x3536,x3537,x3538,x3539),f112(x3533,x3534,x3535,x3532,x3536,x3537,x3538,x3539))
% 1.12/1.33 [354]~E(x3541,x3542)+E(f112(x3543,x3544,x3545,x3546,x3541,x3547,x3548,x3549),f112(x3543,x3544,x3545,x3546,x3542,x3547,x3548,x3549))
% 1.12/1.33 [355]~E(x3551,x3552)+E(f112(x3553,x3554,x3555,x3556,x3557,x3551,x3558,x3559),f112(x3553,x3554,x3555,x3556,x3557,x3552,x3558,x3559))
% 1.12/1.33 [356]~E(x3561,x3562)+E(f112(x3563,x3564,x3565,x3566,x3567,x3568,x3561,x3569),f112(x3563,x3564,x3565,x3566,x3567,x3568,x3562,x3569))
% 1.12/1.33 [357]~E(x3571,x3572)+E(f112(x3573,x3574,x3575,x3576,x3577,x3578,x3579,x3571),f112(x3573,x3574,x3575,x3576,x3577,x3578,x3579,x3572))
% 1.12/1.33 [358]~E(x3581,x3582)+E(f37(x3581,x3583,x3584,x3585,x3586),f37(x3582,x3583,x3584,x3585,x3586))
% 1.12/1.33 [359]~E(x3591,x3592)+E(f37(x3593,x3591,x3594,x3595,x3596),f37(x3593,x3592,x3594,x3595,x3596))
% 1.12/1.33 [360]~E(x3601,x3602)+E(f37(x3603,x3604,x3601,x3605,x3606),f37(x3603,x3604,x3602,x3605,x3606))
% 1.12/1.33 [361]~E(x3611,x3612)+E(f37(x3613,x3614,x3615,x3611,x3616),f37(x3613,x3614,x3615,x3612,x3616))
% 1.12/1.33 [362]~E(x3621,x3622)+E(f37(x3623,x3624,x3625,x3626,x3621),f37(x3623,x3624,x3625,x3626,x3622))
% 1.12/1.33 [363]~E(x3631,x3632)+E(f125(x3631,x3633,x3634),f125(x3632,x3633,x3634))
% 1.12/1.33 [364]~E(x3641,x3642)+E(f125(x3643,x3641,x3644),f125(x3643,x3642,x3644))
% 1.12/1.33 [365]~E(x3651,x3652)+E(f125(x3653,x3654,x3651),f125(x3653,x3654,x3652))
% 1.12/1.33 [366]~E(x3661,x3662)+E(f67(x3661,x3663,x3664,x3665),f67(x3662,x3663,x3664,x3665))
% 1.12/1.33 [367]~E(x3671,x3672)+E(f67(x3673,x3671,x3674,x3675),f67(x3673,x3672,x3674,x3675))
% 1.12/1.33 [368]~E(x3681,x3682)+E(f67(x3683,x3684,x3681,x3685),f67(x3683,x3684,x3682,x3685))
% 1.12/1.33 [369]~E(x3691,x3692)+E(f67(x3693,x3694,x3695,x3691),f67(x3693,x3694,x3695,x3692))
% 1.12/1.33 [370]~E(x3701,x3702)+E(f164(x3701,x3703,x3704),f164(x3702,x3703,x3704))
% 1.12/1.33 [371]~E(x3711,x3712)+E(f164(x3713,x3711,x3714),f164(x3713,x3712,x3714))
% 1.12/1.33 [372]~E(x3721,x3722)+E(f164(x3723,x3724,x3721),f164(x3723,x3724,x3722))
% 1.12/1.33 [373]~E(x3731,x3732)+E(f134(x3731,x3733,x3734,x3735),f134(x3732,x3733,x3734,x3735))
% 1.12/1.33 [374]~E(x3741,x3742)+E(f134(x3743,x3741,x3744,x3745),f134(x3743,x3742,x3744,x3745))
% 1.12/1.33 [375]~E(x3751,x3752)+E(f134(x3753,x3754,x3751,x3755),f134(x3753,x3754,x3752,x3755))
% 1.12/1.33 [376]~E(x3761,x3762)+E(f134(x3763,x3764,x3765,x3761),f134(x3763,x3764,x3765,x3762))
% 1.12/1.33 [377]~E(x3771,x3772)+E(f140(x3771,x3773,x3774,x3775),f140(x3772,x3773,x3774,x3775))
% 1.12/1.33 [378]~E(x3781,x3782)+E(f140(x3783,x3781,x3784,x3785),f140(x3783,x3782,x3784,x3785))
% 1.12/1.33 [379]~E(x3791,x3792)+E(f140(x3793,x3794,x3791,x3795),f140(x3793,x3794,x3792,x3795))
% 1.12/1.33 [380]~E(x3801,x3802)+E(f140(x3803,x3804,x3805,x3801),f140(x3803,x3804,x3805,x3802))
% 1.12/1.33 [381]~E(x3811,x3812)+E(f115(x3811,x3813,x3814,x3815,x3816,x3817,x3818,x3819),f115(x3812,x3813,x3814,x3815,x3816,x3817,x3818,x3819))
% 1.12/1.33 [382]~E(x3821,x3822)+E(f115(x3823,x3821,x3824,x3825,x3826,x3827,x3828,x3829),f115(x3823,x3822,x3824,x3825,x3826,x3827,x3828,x3829))
% 1.12/1.33 [383]~E(x3831,x3832)+E(f115(x3833,x3834,x3831,x3835,x3836,x3837,x3838,x3839),f115(x3833,x3834,x3832,x3835,x3836,x3837,x3838,x3839))
% 1.12/1.33 [384]~E(x3841,x3842)+E(f115(x3843,x3844,x3845,x3841,x3846,x3847,x3848,x3849),f115(x3843,x3844,x3845,x3842,x3846,x3847,x3848,x3849))
% 1.12/1.33 [385]~E(x3851,x3852)+E(f115(x3853,x3854,x3855,x3856,x3851,x3857,x3858,x3859),f115(x3853,x3854,x3855,x3856,x3852,x3857,x3858,x3859))
% 1.12/1.33 [386]~E(x3861,x3862)+E(f115(x3863,x3864,x3865,x3866,x3867,x3861,x3868,x3869),f115(x3863,x3864,x3865,x3866,x3867,x3862,x3868,x3869))
% 1.12/1.33 [387]~E(x3871,x3872)+E(f115(x3873,x3874,x3875,x3876,x3877,x3878,x3871,x3879),f115(x3873,x3874,x3875,x3876,x3877,x3878,x3872,x3879))
% 1.12/1.33 [388]~E(x3881,x3882)+E(f115(x3883,x3884,x3885,x3886,x3887,x3888,x3889,x3881),f115(x3883,x3884,x3885,x3886,x3887,x3888,x3889,x3882))
% 1.12/1.33 [389]~E(x3891,x3892)+E(f114(x3891,x3893,x3894,x3895,x3896,x3897,x3898,x3899),f114(x3892,x3893,x3894,x3895,x3896,x3897,x3898,x3899))
% 1.12/1.33 [390]~E(x3901,x3902)+E(f114(x3903,x3901,x3904,x3905,x3906,x3907,x3908,x3909),f114(x3903,x3902,x3904,x3905,x3906,x3907,x3908,x3909))
% 1.12/1.33 [391]~E(x3911,x3912)+E(f114(x3913,x3914,x3911,x3915,x3916,x3917,x3918,x3919),f114(x3913,x3914,x3912,x3915,x3916,x3917,x3918,x3919))
% 1.12/1.33 [392]~E(x3921,x3922)+E(f114(x3923,x3924,x3925,x3921,x3926,x3927,x3928,x3929),f114(x3923,x3924,x3925,x3922,x3926,x3927,x3928,x3929))
% 1.12/1.33 [393]~E(x3931,x3932)+E(f114(x3933,x3934,x3935,x3936,x3931,x3937,x3938,x3939),f114(x3933,x3934,x3935,x3936,x3932,x3937,x3938,x3939))
% 1.12/1.33 [394]~E(x3941,x3942)+E(f114(x3943,x3944,x3945,x3946,x3947,x3941,x3948,x3949),f114(x3943,x3944,x3945,x3946,x3947,x3942,x3948,x3949))
% 1.12/1.33 [395]~E(x3951,x3952)+E(f114(x3953,x3954,x3955,x3956,x3957,x3958,x3951,x3959),f114(x3953,x3954,x3955,x3956,x3957,x3958,x3952,x3959))
% 1.12/1.33 [396]~E(x3961,x3962)+E(f114(x3963,x3964,x3965,x3966,x3967,x3968,x3969,x3961),f114(x3963,x3964,x3965,x3966,x3967,x3968,x3969,x3962))
% 1.12/1.33 [397]~E(x3971,x3972)+E(f87(x3971,x3973,x3974),f87(x3972,x3973,x3974))
% 1.12/1.33 [398]~E(x3981,x3982)+E(f87(x3983,x3981,x3984),f87(x3983,x3982,x3984))
% 1.12/1.33 [399]~E(x3991,x3992)+E(f87(x3993,x3994,x3991),f87(x3993,x3994,x3992))
% 1.12/1.33 [400]~E(x4001,x4002)+E(f143(x4001,x4003,x4004,x4005),f143(x4002,x4003,x4004,x4005))
% 1.12/1.33 [401]~E(x4011,x4012)+E(f143(x4013,x4011,x4014,x4015),f143(x4013,x4012,x4014,x4015))
% 1.12/1.33 [402]~E(x4021,x4022)+E(f143(x4023,x4024,x4021,x4025),f143(x4023,x4024,x4022,x4025))
% 1.12/1.33 [403]~E(x4031,x4032)+E(f143(x4033,x4034,x4035,x4031),f143(x4033,x4034,x4035,x4032))
% 1.12/1.33 [404]~E(x4041,x4042)+E(f77(x4041),f77(x4042))
% 1.12/1.33 [405]~E(x4051,x4052)+E(f33(x4051,x4053,x4054,x4055,x4056),f33(x4052,x4053,x4054,x4055,x4056))
% 1.12/1.33 [406]~E(x4061,x4062)+E(f33(x4063,x4061,x4064,x4065,x4066),f33(x4063,x4062,x4064,x4065,x4066))
% 1.12/1.33 [407]~E(x4071,x4072)+E(f33(x4073,x4074,x4071,x4075,x4076),f33(x4073,x4074,x4072,x4075,x4076))
% 1.12/1.33 [408]~E(x4081,x4082)+E(f33(x4083,x4084,x4085,x4081,x4086),f33(x4083,x4084,x4085,x4082,x4086))
% 1.12/1.33 [409]~E(x4091,x4092)+E(f33(x4093,x4094,x4095,x4096,x4091),f33(x4093,x4094,x4095,x4096,x4092))
% 1.12/1.33 [410]~E(x4101,x4102)+E(f132(x4101,x4103,x4104,x4105,x4106),f132(x4102,x4103,x4104,x4105,x4106))
% 1.12/1.33 [411]~E(x4111,x4112)+E(f132(x4113,x4111,x4114,x4115,x4116),f132(x4113,x4112,x4114,x4115,x4116))
% 1.12/1.33 [412]~E(x4121,x4122)+E(f132(x4123,x4124,x4121,x4125,x4126),f132(x4123,x4124,x4122,x4125,x4126))
% 1.12/1.33 [413]~E(x4131,x4132)+E(f132(x4133,x4134,x4135,x4131,x4136),f132(x4133,x4134,x4135,x4132,x4136))
% 1.12/1.33 [414]~E(x4141,x4142)+E(f132(x4143,x4144,x4145,x4146,x4141),f132(x4143,x4144,x4145,x4146,x4142))
% 1.12/1.33 [415]~E(x4151,x4152)+E(f146(x4151,x4153,x4154,x4155),f146(x4152,x4153,x4154,x4155))
% 1.12/1.33 [416]~E(x4161,x4162)+E(f146(x4163,x4161,x4164,x4165),f146(x4163,x4162,x4164,x4165))
% 1.12/1.33 [417]~E(x4171,x4172)+E(f146(x4173,x4174,x4171,x4175),f146(x4173,x4174,x4172,x4175))
% 1.12/1.33 [418]~E(x4181,x4182)+E(f146(x4183,x4184,x4185,x4181),f146(x4183,x4184,x4185,x4182))
% 1.12/1.33 [419]~E(x4191,x4192)+E(f153(x4191,x4193,x4194,x4195),f153(x4192,x4193,x4194,x4195))
% 1.12/1.33 [420]~E(x4201,x4202)+E(f153(x4203,x4201,x4204,x4205),f153(x4203,x4202,x4204,x4205))
% 1.12/1.33 [421]~E(x4211,x4212)+E(f153(x4213,x4214,x4211,x4215),f153(x4213,x4214,x4212,x4215))
% 1.12/1.33 [422]~E(x4221,x4222)+E(f153(x4223,x4224,x4225,x4221),f153(x4223,x4224,x4225,x4222))
% 1.12/1.33 [423]~E(x4231,x4232)+E(f53(x4231,x4233,x4234),f53(x4232,x4233,x4234))
% 1.12/1.33 [424]~E(x4241,x4242)+E(f53(x4243,x4241,x4244),f53(x4243,x4242,x4244))
% 1.12/1.33 [425]~E(x4251,x4252)+E(f53(x4253,x4254,x4251),f53(x4253,x4254,x4252))
% 1.12/1.33 [426]~E(x4261,x4262)+E(f102(x4261,x4263,x4264,x4265,x4266),f102(x4262,x4263,x4264,x4265,x4266))
% 1.12/1.33 [427]~E(x4271,x4272)+E(f102(x4273,x4271,x4274,x4275,x4276),f102(x4273,x4272,x4274,x4275,x4276))
% 1.12/1.33 [428]~E(x4281,x4282)+E(f102(x4283,x4284,x4281,x4285,x4286),f102(x4283,x4284,x4282,x4285,x4286))
% 1.12/1.33 [429]~E(x4291,x4292)+E(f102(x4293,x4294,x4295,x4291,x4296),f102(x4293,x4294,x4295,x4292,x4296))
% 1.12/1.33 [430]~E(x4301,x4302)+E(f102(x4303,x4304,x4305,x4306,x4301),f102(x4303,x4304,x4305,x4306,x4302))
% 1.12/1.33 [431]~E(x4311,x4312)+E(f89(x4311,x4313),f89(x4312,x4313))
% 1.12/1.33 [432]~E(x4321,x4322)+E(f89(x4323,x4321),f89(x4323,x4322))
% 1.12/1.33 [433]~E(x4331,x4332)+E(f100(x4331,x4333,x4334,x4335,x4336),f100(x4332,x4333,x4334,x4335,x4336))
% 1.12/1.33 [434]~E(x4341,x4342)+E(f100(x4343,x4341,x4344,x4345,x4346),f100(x4343,x4342,x4344,x4345,x4346))
% 1.12/1.33 [435]~E(x4351,x4352)+E(f100(x4353,x4354,x4351,x4355,x4356),f100(x4353,x4354,x4352,x4355,x4356))
% 1.12/1.33 [436]~E(x4361,x4362)+E(f100(x4363,x4364,x4365,x4361,x4366),f100(x4363,x4364,x4365,x4362,x4366))
% 1.12/1.33 [437]~E(x4371,x4372)+E(f100(x4373,x4374,x4375,x4376,x4371),f100(x4373,x4374,x4375,x4376,x4372))
% 1.12/1.33 [438]~E(x4381,x4382)+E(f156(x4381,x4383),f156(x4382,x4383))
% 1.12/1.33 [439]~E(x4391,x4392)+E(f156(x4393,x4391),f156(x4393,x4392))
% 1.12/1.33 [440]~E(x4401,x4402)+E(f128(x4401,x4403,x4404,x4405,x4406),f128(x4402,x4403,x4404,x4405,x4406))
% 1.12/1.33 [441]~E(x4411,x4412)+E(f128(x4413,x4411,x4414,x4415,x4416),f128(x4413,x4412,x4414,x4415,x4416))
% 1.12/1.33 [442]~E(x4421,x4422)+E(f128(x4423,x4424,x4421,x4425,x4426),f128(x4423,x4424,x4422,x4425,x4426))
% 1.12/1.33 [443]~E(x4431,x4432)+E(f128(x4433,x4434,x4435,x4431,x4436),f128(x4433,x4434,x4435,x4432,x4436))
% 1.12/1.33 [444]~E(x4441,x4442)+E(f128(x4443,x4444,x4445,x4446,x4441),f128(x4443,x4444,x4445,x4446,x4442))
% 1.12/1.33 [445]~E(x4451,x4452)+E(f113(x4451,x4453,x4454,x4455,x4456,x4457,x4458,x4459),f113(x4452,x4453,x4454,x4455,x4456,x4457,x4458,x4459))
% 1.12/1.33 [446]~E(x4461,x4462)+E(f113(x4463,x4461,x4464,x4465,x4466,x4467,x4468,x4469),f113(x4463,x4462,x4464,x4465,x4466,x4467,x4468,x4469))
% 1.12/1.33 [447]~E(x4471,x4472)+E(f113(x4473,x4474,x4471,x4475,x4476,x4477,x4478,x4479),f113(x4473,x4474,x4472,x4475,x4476,x4477,x4478,x4479))
% 1.12/1.33 [448]~E(x4481,x4482)+E(f113(x4483,x4484,x4485,x4481,x4486,x4487,x4488,x4489),f113(x4483,x4484,x4485,x4482,x4486,x4487,x4488,x4489))
% 1.12/1.33 [449]~E(x4491,x4492)+E(f113(x4493,x4494,x4495,x4496,x4491,x4497,x4498,x4499),f113(x4493,x4494,x4495,x4496,x4492,x4497,x4498,x4499))
% 1.12/1.33 [450]~E(x4501,x4502)+E(f113(x4503,x4504,x4505,x4506,x4507,x4501,x4508,x4509),f113(x4503,x4504,x4505,x4506,x4507,x4502,x4508,x4509))
% 1.12/1.33 [451]~E(x4511,x4512)+E(f113(x4513,x4514,x4515,x4516,x4517,x4518,x4511,x4519),f113(x4513,x4514,x4515,x4516,x4517,x4518,x4512,x4519))
% 1.12/1.33 [452]~E(x4521,x4522)+E(f113(x4523,x4524,x4525,x4526,x4527,x4528,x4529,x4521),f113(x4523,x4524,x4525,x4526,x4527,x4528,x4529,x4522))
% 1.12/1.33 [453]~E(x4531,x4532)+E(f105(x4531,x4533,x4534,x4535,x4536),f105(x4532,x4533,x4534,x4535,x4536))
% 1.12/1.33 [454]~E(x4541,x4542)+E(f105(x4543,x4541,x4544,x4545,x4546),f105(x4543,x4542,x4544,x4545,x4546))
% 1.12/1.33 [455]~E(x4551,x4552)+E(f105(x4553,x4554,x4551,x4555,x4556),f105(x4553,x4554,x4552,x4555,x4556))
% 1.12/1.33 [456]~E(x4561,x4562)+E(f105(x4563,x4564,x4565,x4561,x4566),f105(x4563,x4564,x4565,x4562,x4566))
% 1.12/1.33 [457]~E(x4571,x4572)+E(f105(x4573,x4574,x4575,x4576,x4571),f105(x4573,x4574,x4575,x4576,x4572))
% 1.12/1.33 [458]~E(x4581,x4582)+E(f106(x4581,x4583,x4584,x4585,x4586,x4587,x4588),f106(x4582,x4583,x4584,x4585,x4586,x4587,x4588))
% 1.12/1.33 [459]~E(x4591,x4592)+E(f106(x4593,x4591,x4594,x4595,x4596,x4597,x4598),f106(x4593,x4592,x4594,x4595,x4596,x4597,x4598))
% 1.12/1.33 [460]~E(x4601,x4602)+E(f106(x4603,x4604,x4601,x4605,x4606,x4607,x4608),f106(x4603,x4604,x4602,x4605,x4606,x4607,x4608))
% 1.12/1.33 [461]~E(x4611,x4612)+E(f106(x4613,x4614,x4615,x4611,x4616,x4617,x4618),f106(x4613,x4614,x4615,x4612,x4616,x4617,x4618))
% 1.12/1.33 [462]~E(x4621,x4622)+E(f106(x4623,x4624,x4625,x4626,x4621,x4627,x4628),f106(x4623,x4624,x4625,x4626,x4622,x4627,x4628))
% 1.12/1.33 [463]~E(x4631,x4632)+E(f106(x4633,x4634,x4635,x4636,x4637,x4631,x4638),f106(x4633,x4634,x4635,x4636,x4637,x4632,x4638))
% 1.12/1.33 [464]~E(x4641,x4642)+E(f106(x4643,x4644,x4645,x4646,x4647,x4648,x4641),f106(x4643,x4644,x4645,x4646,x4647,x4648,x4642))
% 1.12/1.33 [465]~E(x4651,x4652)+E(f109(x4651,x4653,x4654,x4655,x4656,x4657,x4658,x4659),f109(x4652,x4653,x4654,x4655,x4656,x4657,x4658,x4659))
% 1.12/1.33 [466]~E(x4661,x4662)+E(f109(x4663,x4661,x4664,x4665,x4666,x4667,x4668,x4669),f109(x4663,x4662,x4664,x4665,x4666,x4667,x4668,x4669))
% 1.12/1.33 [467]~E(x4671,x4672)+E(f109(x4673,x4674,x4671,x4675,x4676,x4677,x4678,x4679),f109(x4673,x4674,x4672,x4675,x4676,x4677,x4678,x4679))
% 1.12/1.33 [468]~E(x4681,x4682)+E(f109(x4683,x4684,x4685,x4681,x4686,x4687,x4688,x4689),f109(x4683,x4684,x4685,x4682,x4686,x4687,x4688,x4689))
% 1.12/1.33 [469]~E(x4691,x4692)+E(f109(x4693,x4694,x4695,x4696,x4691,x4697,x4698,x4699),f109(x4693,x4694,x4695,x4696,x4692,x4697,x4698,x4699))
% 1.12/1.33 [470]~E(x4701,x4702)+E(f109(x4703,x4704,x4705,x4706,x4707,x4701,x4708,x4709),f109(x4703,x4704,x4705,x4706,x4707,x4702,x4708,x4709))
% 1.12/1.33 [471]~E(x4711,x4712)+E(f109(x4713,x4714,x4715,x4716,x4717,x4718,x4711,x4719),f109(x4713,x4714,x4715,x4716,x4717,x4718,x4712,x4719))
% 1.12/1.33 [472]~E(x4721,x4722)+E(f109(x4723,x4724,x4725,x4726,x4727,x4728,x4729,x4721),f109(x4723,x4724,x4725,x4726,x4727,x4728,x4729,x4722))
% 1.12/1.33 [473]~E(x4731,x4732)+E(f80(x4731,x4733,x4734,x4735,x4736,x4737),f80(x4732,x4733,x4734,x4735,x4736,x4737))
% 1.12/1.33 [474]~E(x4741,x4742)+E(f80(x4743,x4741,x4744,x4745,x4746,x4747),f80(x4743,x4742,x4744,x4745,x4746,x4747))
% 1.12/1.33 [475]~E(x4751,x4752)+E(f80(x4753,x4754,x4751,x4755,x4756,x4757),f80(x4753,x4754,x4752,x4755,x4756,x4757))
% 1.12/1.33 [476]~E(x4761,x4762)+E(f80(x4763,x4764,x4765,x4761,x4766,x4767),f80(x4763,x4764,x4765,x4762,x4766,x4767))
% 1.12/1.33 [477]~E(x4771,x4772)+E(f80(x4773,x4774,x4775,x4776,x4771,x4777),f80(x4773,x4774,x4775,x4776,x4772,x4777))
% 1.12/1.33 [478]~E(x4781,x4782)+E(f80(x4783,x4784,x4785,x4786,x4787,x4781),f80(x4783,x4784,x4785,x4786,x4787,x4782))
% 1.12/1.33 [479]~E(x4791,x4792)+E(f150(x4791,x4793),f150(x4792,x4793))
% 1.12/1.33 [480]~E(x4801,x4802)+E(f150(x4803,x4801),f150(x4803,x4802))
% 1.12/1.33 [481]~E(x4811,x4812)+E(f59(x4811,x4813),f59(x4812,x4813))
% 1.12/1.33 [482]~E(x4821,x4822)+E(f59(x4823,x4821),f59(x4823,x4822))
% 1.12/1.33 [483]~E(x4831,x4832)+E(f30(x4831,x4833),f30(x4832,x4833))
% 1.12/1.33 [484]~E(x4841,x4842)+E(f30(x4843,x4841),f30(x4843,x4842))
% 1.12/1.33 [485]~E(x4851,x4852)+E(f88(x4851,x4853),f88(x4852,x4853))
% 1.12/1.33 [486]~E(x4861,x4862)+E(f88(x4863,x4861),f88(x4863,x4862))
% 1.12/1.33 [487]~E(x4871,x4872)+E(f108(x4871,x4873,x4874,x4875),f108(x4872,x4873,x4874,x4875))
% 1.12/1.33 [488]~E(x4881,x4882)+E(f108(x4883,x4881,x4884,x4885),f108(x4883,x4882,x4884,x4885))
% 1.12/1.33 [489]~E(x4891,x4892)+E(f108(x4893,x4894,x4891,x4895),f108(x4893,x4894,x4892,x4895))
% 1.12/1.33 [490]~E(x4901,x4902)+E(f108(x4903,x4904,x4905,x4901),f108(x4903,x4904,x4905,x4902))
% 1.12/1.33 [491]~E(x4911,x4912)+E(f110(x4911,x4913,x4914,x4915,x4916,x4917,x4918,x4919),f110(x4912,x4913,x4914,x4915,x4916,x4917,x4918,x4919))
% 1.12/1.33 [492]~E(x4921,x4922)+E(f110(x4923,x4921,x4924,x4925,x4926,x4927,x4928,x4929),f110(x4923,x4922,x4924,x4925,x4926,x4927,x4928,x4929))
% 1.12/1.33 [493]~E(x4931,x4932)+E(f110(x4933,x4934,x4931,x4935,x4936,x4937,x4938,x4939),f110(x4933,x4934,x4932,x4935,x4936,x4937,x4938,x4939))
% 1.12/1.33 [494]~E(x4941,x4942)+E(f110(x4943,x4944,x4945,x4941,x4946,x4947,x4948,x4949),f110(x4943,x4944,x4945,x4942,x4946,x4947,x4948,x4949))
% 1.12/1.33 [495]~E(x4951,x4952)+E(f110(x4953,x4954,x4955,x4956,x4951,x4957,x4958,x4959),f110(x4953,x4954,x4955,x4956,x4952,x4957,x4958,x4959))
% 1.12/1.33 [496]~E(x4961,x4962)+E(f110(x4963,x4964,x4965,x4966,x4967,x4961,x4968,x4969),f110(x4963,x4964,x4965,x4966,x4967,x4962,x4968,x4969))
% 1.12/1.33 [497]~E(x4971,x4972)+E(f110(x4973,x4974,x4975,x4976,x4977,x4978,x4971,x4979),f110(x4973,x4974,x4975,x4976,x4977,x4978,x4972,x4979))
% 1.12/1.33 [498]~E(x4981,x4982)+E(f110(x4983,x4984,x4985,x4986,x4987,x4988,x4989,x4981),f110(x4983,x4984,x4985,x4986,x4987,x4988,x4989,x4982))
% 1.12/1.33 [499]~E(x4991,x4992)+E(f144(x4991,x4993,x4994,x4995),f144(x4992,x4993,x4994,x4995))
% 1.12/1.33 [500]~E(x5001,x5002)+E(f144(x5003,x5001,x5004,x5005),f144(x5003,x5002,x5004,x5005))
% 1.12/1.33 [501]~E(x5011,x5012)+E(f144(x5013,x5014,x5011,x5015),f144(x5013,x5014,x5012,x5015))
% 1.12/1.33 [502]~E(x5021,x5022)+E(f144(x5023,x5024,x5025,x5021),f144(x5023,x5024,x5025,x5022))
% 1.12/1.33 [503]~E(x5031,x5032)+E(f82(x5031,x5033,x5034,x5035,x5036,x5037,x5038),f82(x5032,x5033,x5034,x5035,x5036,x5037,x5038))
% 1.12/1.33 [504]~E(x5041,x5042)+E(f82(x5043,x5041,x5044,x5045,x5046,x5047,x5048),f82(x5043,x5042,x5044,x5045,x5046,x5047,x5048))
% 1.12/1.33 [505]~E(x5051,x5052)+E(f82(x5053,x5054,x5051,x5055,x5056,x5057,x5058),f82(x5053,x5054,x5052,x5055,x5056,x5057,x5058))
% 1.12/1.33 [506]~E(x5061,x5062)+E(f82(x5063,x5064,x5065,x5061,x5066,x5067,x5068),f82(x5063,x5064,x5065,x5062,x5066,x5067,x5068))
% 1.12/1.33 [507]~E(x5071,x5072)+E(f82(x5073,x5074,x5075,x5076,x5071,x5077,x5078),f82(x5073,x5074,x5075,x5076,x5072,x5077,x5078))
% 1.12/1.33 [508]~E(x5081,x5082)+E(f82(x5083,x5084,x5085,x5086,x5087,x5081,x5088),f82(x5083,x5084,x5085,x5086,x5087,x5082,x5088))
% 1.12/1.33 [509]~E(x5091,x5092)+E(f82(x5093,x5094,x5095,x5096,x5097,x5098,x5091),f82(x5093,x5094,x5095,x5096,x5097,x5098,x5092))
% 1.12/1.33 [510]~E(x5101,x5102)+E(f56(x5101,x5103),f56(x5102,x5103))
% 1.12/1.33 [511]~E(x5111,x5112)+E(f56(x5113,x5111),f56(x5113,x5112))
% 1.12/1.33 [512]~E(x5121,x5122)+E(f121(x5121,x5123),f121(x5122,x5123))
% 1.12/1.33 [513]~E(x5131,x5132)+E(f121(x5133,x5131),f121(x5133,x5132))
% 1.12/1.33 [514]~E(x5141,x5142)+E(f137(x5141,x5143,x5144,x5145),f137(x5142,x5143,x5144,x5145))
% 1.12/1.33 [515]~E(x5151,x5152)+E(f137(x5153,x5151,x5154,x5155),f137(x5153,x5152,x5154,x5155))
% 1.12/1.33 [516]~E(x5161,x5162)+E(f137(x5163,x5164,x5161,x5165),f137(x5163,x5164,x5162,x5165))
% 1.12/1.33 [517]~E(x5171,x5172)+E(f137(x5173,x5174,x5175,x5171),f137(x5173,x5174,x5175,x5172))
% 1.12/1.33 [518]~E(x5181,x5182)+E(f135(x5181,x5183,x5184,x5185),f135(x5182,x5183,x5184,x5185))
% 1.12/1.33 [519]~E(x5191,x5192)+E(f135(x5193,x5191,x5194,x5195),f135(x5193,x5192,x5194,x5195))
% 1.12/1.33 [520]~E(x5201,x5202)+E(f135(x5203,x5204,x5201,x5205),f135(x5203,x5204,x5202,x5205))
% 1.12/1.33 [521]~E(x5211,x5212)+E(f135(x5213,x5214,x5215,x5211),f135(x5213,x5214,x5215,x5212))
% 1.12/1.33 [522]~E(x5221,x5222)+E(f142(x5221,x5223),f142(x5222,x5223))
% 1.12/1.33 [523]~E(x5231,x5232)+E(f142(x5233,x5231),f142(x5233,x5232))
% 1.12/1.33 [524]~E(x5241,x5242)+E(f74(x5241,x5243,x5244,x5245),f74(x5242,x5243,x5244,x5245))
% 1.12/1.33 [525]~E(x5251,x5252)+E(f74(x5253,x5251,x5254,x5255),f74(x5253,x5252,x5254,x5255))
% 1.12/1.33 [526]~E(x5261,x5262)+E(f74(x5263,x5264,x5261,x5265),f74(x5263,x5264,x5262,x5265))
% 1.12/1.33 [527]~E(x5271,x5272)+E(f74(x5273,x5274,x5275,x5271),f74(x5273,x5274,x5275,x5272))
% 1.12/1.33 [528]~E(x5281,x5282)+E(f84(x5281,x5283,x5284),f84(x5282,x5283,x5284))
% 1.12/1.33 [529]~E(x5291,x5292)+E(f84(x5293,x5291,x5294),f84(x5293,x5292,x5294))
% 1.12/1.33 [530]~E(x5301,x5302)+E(f84(x5303,x5304,x5301),f84(x5303,x5304,x5302))
% 1.12/1.33 [531]~E(x5311,x5312)+E(f159(x5311),f159(x5312))
% 1.12/1.33 [532]~E(x5321,x5322)+E(f83(x5321,x5323,x5324),f83(x5322,x5323,x5324))
% 1.12/1.33 [533]~E(x5331,x5332)+E(f83(x5333,x5331,x5334),f83(x5333,x5332,x5334))
% 1.12/1.33 [534]~E(x5341,x5342)+E(f83(x5343,x5344,x5341),f83(x5343,x5344,x5342))
% 1.12/1.33 [535]~E(x5351,x5352)+E(f64(x5351,x5353,x5354,x5355,x5356,x5357),f64(x5352,x5353,x5354,x5355,x5356,x5357))
% 1.12/1.33 [536]~E(x5361,x5362)+E(f64(x5363,x5361,x5364,x5365,x5366,x5367),f64(x5363,x5362,x5364,x5365,x5366,x5367))
% 1.12/1.33 [537]~E(x5371,x5372)+E(f64(x5373,x5374,x5371,x5375,x5376,x5377),f64(x5373,x5374,x5372,x5375,x5376,x5377))
% 1.12/1.33 [538]~E(x5381,x5382)+E(f64(x5383,x5384,x5385,x5381,x5386,x5387),f64(x5383,x5384,x5385,x5382,x5386,x5387))
% 1.12/1.33 [539]~E(x5391,x5392)+E(f64(x5393,x5394,x5395,x5396,x5391,x5397),f64(x5393,x5394,x5395,x5396,x5392,x5397))
% 1.12/1.33 [540]~E(x5401,x5402)+E(f64(x5403,x5404,x5405,x5406,x5407,x5401),f64(x5403,x5404,x5405,x5406,x5407,x5402))
% 1.12/1.33 [541]~E(x5411,x5412)+E(f148(x5411,x5413),f148(x5412,x5413))
% 1.12/1.33 [542]~E(x5421,x5422)+E(f148(x5423,x5421),f148(x5423,x5422))
% 1.12/1.33 [543]~E(x5431,x5432)+E(f161(x5431,x5433,x5434),f161(x5432,x5433,x5434))
% 1.12/1.33 [544]~E(x5441,x5442)+E(f161(x5443,x5441,x5444),f161(x5443,x5442,x5444))
% 1.12/1.33 [545]~E(x5451,x5452)+E(f161(x5453,x5454,x5451),f161(x5453,x5454,x5452))
% 1.12/1.33 [546]~E(x5461,x5462)+E(f92(x5461,x5463),f92(x5462,x5463))
% 1.12/1.33 [547]~E(x5471,x5472)+E(f92(x5473,x5471),f92(x5473,x5472))
% 1.12/1.33 [548]~E(x5481,x5482)+E(f147(x5481,x5483,x5484,x5485),f147(x5482,x5483,x5484,x5485))
% 1.12/1.33 [549]~E(x5491,x5492)+E(f147(x5493,x5491,x5494,x5495),f147(x5493,x5492,x5494,x5495))
% 1.12/1.33 [550]~E(x5501,x5502)+E(f147(x5503,x5504,x5501,x5505),f147(x5503,x5504,x5502,x5505))
% 1.12/1.33 [551]~E(x5511,x5512)+E(f147(x5513,x5514,x5515,x5511),f147(x5513,x5514,x5515,x5512))
% 1.12/1.33 [552]~E(x5521,x5522)+E(f127(x5521,x5523,x5524),f127(x5522,x5523,x5524))
% 1.12/1.33 [553]~E(x5531,x5532)+E(f127(x5533,x5531,x5534),f127(x5533,x5532,x5534))
% 1.12/1.33 [554]~E(x5541,x5542)+E(f127(x5543,x5544,x5541),f127(x5543,x5544,x5542))
% 1.12/1.33 [555]~E(x5551,x5552)+E(f145(x5551,x5553,x5554,x5555),f145(x5552,x5553,x5554,x5555))
% 1.12/1.33 [556]~E(x5561,x5562)+E(f145(x5563,x5561,x5564,x5565),f145(x5563,x5562,x5564,x5565))
% 1.12/1.33 [557]~E(x5571,x5572)+E(f145(x5573,x5574,x5571,x5575),f145(x5573,x5574,x5572,x5575))
% 1.12/1.33 [558]~E(x5581,x5582)+E(f145(x5583,x5584,x5585,x5581),f145(x5583,x5584,x5585,x5582))
% 1.12/1.33 [559]~E(x5591,x5592)+E(f166(x5591,x5593,x5594),f166(x5592,x5593,x5594))
% 1.12/1.33 [560]~E(x5601,x5602)+E(f166(x5603,x5601,x5604),f166(x5603,x5602,x5604))
% 1.12/1.33 [561]~E(x5611,x5612)+E(f166(x5613,x5614,x5611),f166(x5613,x5614,x5612))
% 1.12/1.33 [562]~E(x5621,x5622)+E(f152(x5621,x5623,x5624,x5625),f152(x5622,x5623,x5624,x5625))
% 1.12/1.33 [563]~E(x5631,x5632)+E(f152(x5633,x5631,x5634,x5635),f152(x5633,x5632,x5634,x5635))
% 1.12/1.33 [564]~E(x5641,x5642)+E(f152(x5643,x5644,x5641,x5645),f152(x5643,x5644,x5642,x5645))
% 1.12/1.33 [565]~E(x5651,x5652)+E(f152(x5653,x5654,x5655,x5651),f152(x5653,x5654,x5655,x5652))
% 1.12/1.33 [566]~E(x5661,x5662)+E(f149(x5661,x5663),f149(x5662,x5663))
% 1.12/1.33 [567]~E(x5671,x5672)+E(f149(x5673,x5671),f149(x5673,x5672))
% 1.12/1.33 [568]~E(x5681,x5682)+E(f120(x5681,x5683,x5684),f120(x5682,x5683,x5684))
% 1.12/1.33 [569]~E(x5691,x5692)+E(f120(x5693,x5691,x5694),f120(x5693,x5692,x5694))
% 1.12/1.33 [570]~E(x5701,x5702)+E(f120(x5703,x5704,x5701),f120(x5703,x5704,x5702))
% 1.12/1.33 [571]~E(x5711,x5712)+E(f151(x5711,x5713),f151(x5712,x5713))
% 1.12/1.33 [572]~E(x5721,x5722)+E(f151(x5723,x5721),f151(x5723,x5722))
% 1.12/1.33 [573]~E(x5731,x5732)+E(f107(x5731,x5733,x5734),f107(x5732,x5733,x5734))
% 1.12/1.33 [574]~E(x5741,x5742)+E(f107(x5743,x5741,x5744),f107(x5743,x5742,x5744))
% 1.12/1.33 [575]~E(x5751,x5752)+E(f107(x5753,x5754,x5751),f107(x5753,x5754,x5752))
% 1.12/1.33 [576]~E(x5761,x5762)+E(f60(x5761,x5763),f60(x5762,x5763))
% 1.12/1.33 [577]~E(x5771,x5772)+E(f60(x5773,x5771),f60(x5773,x5772))
% 1.12/1.33 [578]~E(x5781,x5782)+E(f86(x5781,x5783,x5784),f86(x5782,x5783,x5784))
% 1.12/1.33 [579]~E(x5791,x5792)+E(f86(x5793,x5791,x5794),f86(x5793,x5792,x5794))
% 1.12/1.33 [580]~E(x5801,x5802)+E(f86(x5803,x5804,x5801),f86(x5803,x5804,x5802))
% 1.12/1.33 [581]~E(x5811,x5812)+E(f24(x5811,x5813,x5814,x5815),f24(x5812,x5813,x5814,x5815))
% 1.12/1.33 [582]~E(x5821,x5822)+E(f24(x5823,x5821,x5824,x5825),f24(x5823,x5822,x5824,x5825))
% 1.12/1.33 [583]~E(x5831,x5832)+E(f24(x5833,x5834,x5831,x5835),f24(x5833,x5834,x5832,x5835))
% 1.12/1.33 [584]~E(x5841,x5842)+E(f24(x5843,x5844,x5845,x5841),f24(x5843,x5844,x5845,x5842))
% 1.12/1.33 [585]~E(x5851,x5852)+E(f165(x5851,x5853,x5854),f165(x5852,x5853,x5854))
% 1.12/1.33 [586]~E(x5861,x5862)+E(f165(x5863,x5861,x5864),f165(x5863,x5862,x5864))
% 1.12/1.33 [587]~E(x5871,x5872)+E(f165(x5873,x5874,x5871),f165(x5873,x5874,x5872))
% 1.12/1.33 [588]~P1(x5881)+P1(x5882)+~E(x5881,x5882)
% 1.12/1.33 [589]~P2(x5891)+P2(x5892)+~E(x5891,x5892)
% 1.12/1.33 [590]~P4(x5901)+P4(x5902)+~E(x5901,x5902)
% 1.12/1.33 [591]~P28(x5911)+P28(x5912)+~E(x5911,x5912)
% 1.12/1.33 [592]~P21(x5921)+P21(x5922)+~E(x5921,x5922)
% 1.12/1.33 [593]~P5(x5931)+P5(x5932)+~E(x5931,x5932)
% 1.12/1.33 [594]~P22(x5941)+P22(x5942)+~E(x5941,x5942)
% 1.12/1.33 [595]P9(x5952,x5953,x5954)+~E(x5951,x5952)+~P9(x5951,x5953,x5954)
% 1.12/1.33 [596]P9(x5963,x5962,x5964)+~E(x5961,x5962)+~P9(x5963,x5961,x5964)
% 1.12/1.33 [597]P9(x5973,x5974,x5972)+~E(x5971,x5972)+~P9(x5973,x5974,x5971)
% 1.12/1.33 [598]~P23(x5981)+P23(x5982)+~E(x5981,x5982)
% 1.12/1.33 [599]P20(x5992,x5993)+~E(x5991,x5992)+~P20(x5991,x5993)
% 1.12/1.33 [600]P20(x6003,x6002)+~E(x6001,x6002)+~P20(x6003,x6001)
% 1.12/1.33 [601]~P24(x6011)+P24(x6012)+~E(x6011,x6012)
% 1.12/1.33 [602]~P27(x6021)+P27(x6022)+~E(x6021,x6022)
% 1.12/1.33 [603]P8(x6032,x6033)+~E(x6031,x6032)+~P8(x6031,x6033)
% 1.12/1.33 [604]P8(x6043,x6042)+~E(x6041,x6042)+~P8(x6043,x6041)
% 1.12/1.33 [605]~P25(x6051)+P25(x6052)+~E(x6051,x6052)
% 1.12/1.33 [606]P15(x6062,x6063,x6064)+~E(x6061,x6062)+~P15(x6061,x6063,x6064)
% 1.12/1.33 [607]P15(x6073,x6072,x6074)+~E(x6071,x6072)+~P15(x6073,x6071,x6074)
% 1.12/1.33 [608]P15(x6083,x6084,x6082)+~E(x6081,x6082)+~P15(x6083,x6084,x6081)
% 1.12/1.33 [609]P14(x6092,x6093)+~E(x6091,x6092)+~P14(x6091,x6093)
% 1.12/1.33 [610]P14(x6103,x6102)+~E(x6101,x6102)+~P14(x6103,x6101)
% 1.12/1.33 [611]P16(x6112,x6113,x6114)+~E(x6111,x6112)+~P16(x6111,x6113,x6114)
% 1.12/1.33 [612]P16(x6123,x6122,x6124)+~E(x6121,x6122)+~P16(x6123,x6121,x6124)
% 1.12/1.33 [613]P16(x6133,x6134,x6132)+~E(x6131,x6132)+~P16(x6133,x6134,x6131)
% 1.12/1.33 [614]~P6(x6141)+P6(x6142)+~E(x6141,x6142)
% 1.12/1.33 [615]~P26(x6151)+P26(x6152)+~E(x6151,x6152)
% 1.12/1.33 [616]P17(x6162,x6163)+~E(x6161,x6162)+~P17(x6161,x6163)
% 1.12/1.33 [617]P17(x6173,x6172)+~E(x6171,x6172)+~P17(x6173,x6171)
% 1.12/1.33 [618]~P7(x6181)+P7(x6182)+~E(x6181,x6182)
% 1.12/1.33 [619]P19(x6192,x6193)+~E(x6191,x6192)+~P19(x6191,x6193)
% 1.12/1.33 [620]P19(x6203,x6202)+~E(x6201,x6202)+~P19(x6203,x6201)
% 1.12/1.33 [621]P13(x6212,x6213,x6214,x6215)+~E(x6211,x6212)+~P13(x6211,x6213,x6214,x6215)
% 1.12/1.33 [622]P13(x6223,x6222,x6224,x6225)+~E(x6221,x6222)+~P13(x6223,x6221,x6224,x6225)
% 1.12/1.33 [623]P13(x6233,x6234,x6232,x6235)+~E(x6231,x6232)+~P13(x6233,x6234,x6231,x6235)
% 1.12/1.33 [624]P13(x6243,x6244,x6245,x6242)+~E(x6241,x6242)+~P13(x6243,x6244,x6245,x6241)
% 1.12/1.33 [625]P18(x6252,x6253,x6254)+~E(x6251,x6252)+~P18(x6251,x6253,x6254)
% 1.12/1.33 [626]P18(x6263,x6262,x6264)+~E(x6261,x6262)+~P18(x6263,x6261,x6264)
% 1.12/1.33 [627]P18(x6273,x6274,x6272)+~E(x6271,x6272)+~P18(x6273,x6274,x6271)
% 1.12/1.33 [628]P3(x6282,x6283)+~E(x6281,x6282)+~P3(x6281,x6283)
% 1.12/1.33 [629]P3(x6293,x6292)+~E(x6291,x6292)+~P3(x6293,x6291)
% 1.12/1.33 [630]P11(x6302,x6303,x6304,x6305)+~E(x6301,x6302)+~P11(x6301,x6303,x6304,x6305)
% 1.12/1.33 [631]P11(x6313,x6312,x6314,x6315)+~E(x6311,x6312)+~P11(x6313,x6311,x6314,x6315)
% 1.12/1.33 [632]P11(x6323,x6324,x6322,x6325)+~E(x6321,x6322)+~P11(x6323,x6324,x6321,x6325)
% 1.12/1.33 [633]P11(x6333,x6334,x6335,x6332)+~E(x6331,x6332)+~P11(x6333,x6334,x6335,x6331)
% 1.12/1.33 [634]P12(x6342,x6343,x6344,x6345)+~E(x6341,x6342)+~P12(x6341,x6343,x6344,x6345)
% 1.12/1.33 [635]P12(x6353,x6352,x6354,x6355)+~E(x6351,x6352)+~P12(x6353,x6351,x6354,x6355)
% 1.12/1.33 [636]P12(x6363,x6364,x6362,x6365)+~E(x6361,x6362)+~P12(x6363,x6364,x6361,x6365)
% 1.12/1.33 [637]P12(x6373,x6374,x6375,x6372)+~E(x6371,x6372)+~P12(x6373,x6374,x6375,x6371)
% 1.12/1.33 [638]P10(x6382,x6383)+~E(x6381,x6382)+~P10(x6381,x6383)
% 1.12/1.33 [639]P10(x6393,x6392)+~E(x6391,x6392)+~P10(x6393,x6391)
% 1.12/1.33
% 1.12/1.33 %-------------------------------------------
% 1.12/1.33 cnf(1427,plain,
% 1.12/1.33 ($false),
% 1.12/1.33 inference(scs_inference,[],[640,771,720,729,1316]),
% 1.12/1.33 ['proof']).
% 1.12/1.33 % SZS output end Proof
% 1.12/1.33 % Total time :0.180000s
%------------------------------------------------------------------------------